TSTP Solution File: GEO169+2 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO169+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Aug 22 10:38:22 EDT 2023
% Result : Theorem 34.04s 20.27s
% Output : CNFRefutation 37.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 71
% Syntax : Number of formulae : 5137 (2809 unt; 25 typ; 0 def)
% Number of atoms : 10335 (4073 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 10345 (5122 ~;5197 |; 11 &)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 5 >; 3 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 2 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 19 con; 0-2 aty)
% Number of variables : 2050 (;2049 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ incident > point > line > #nlpp > s3 > s2 > s1 > s > p3 > p2 > p1 > goal > b3b1 > b3 > b2b3 > b2 > b1b2 > b1 > a3a1 > a3 > a2a3 > a2 > a1a2 > a1 > #skF_2 > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a1,type,
a1: $i ).
tff(a3,type,
a3: $i ).
tff(s1,type,
s1: $i ).
tff(incident,type,
incident: ( $i * $i ) > $o ).
tff(b2,type,
b2: $i ).
tff(a1a2,type,
a1a2: $i ).
tff(p1,type,
p1: $i ).
tff(s,type,
s: $i ).
tff(point,type,
point: $i > $o ).
tff(s3,type,
s3: $i ).
tff(b2b3,type,
b2b3: $i ).
tff(s2,type,
s2: $i ).
tff(goal,type,
goal: $o ).
tff(a2a3,type,
a2a3: $i ).
tff(b1,type,
b1: $i ).
tff(line,type,
line: $i > $o ).
tff(a3a1,type,
a3a1: $i ).
tff(b3,type,
b3: $i ).
tff(a2,type,
a2: $i ).
tff(b3b1,type,
b3b1: $i ).
tff('#skF_2',type,
'#skF_2': ( $i * $i ) > $i ).
tff(p3,type,
p3: $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff(b1b2,type,
b1b2: $i ).
tff(p2,type,
p2: $i ).
tff(f_81,axiom,
incident(p2,a3a1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ip2a) ).
tff(f_86,axiom,
! [A,B] :
( incident(A,B)
=> point(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sort_point) ).
tff(f_80,axiom,
incident(p1,b2b3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ip1b) ).
tff(f_162,axiom,
! [A,B] :
( ( point(A)
& point(B) )
=> ? [C] :
( incident(A,C)
& incident(B,C) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',join) ).
tff(f_173,negated_conjecture,
~ goal,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal_to_be_proved) ).
tff(f_39,axiom,
( ( incident(a1,b2b3)
& incident(a2,b3b1)
& incident(a3,b1b2) )
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t_a_in_b) ).
tff(f_65,axiom,
incident(b3,b2b3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ib3b2) ).
tff(f_77,axiom,
incident(p3,a1a2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ip3a) ).
tff(f_78,axiom,
incident(p3,b1b2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ip3b) ).
tff(f_111,axiom,
( ( a1a2 = b1b2 )
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not12) ).
tff(f_49,axiom,
( incident(a1,b2b3)
| incident(b3,a1a2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gap1) ).
tff(f_62,axiom,
incident(b1,b1b2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ib1b2) ).
tff(f_99,axiom,
( ( a3 = a1 )
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diff_a3_a1) ).
tff(f_60,axiom,
incident(a3,a3a1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ia3a1) ).
tff(f_59,axiom,
incident(a3,a2a3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ia3a2) ).
tff(f_55,axiom,
( incident(a3,b1b2)
| incident(b2,a3a1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gap3) ).
tff(f_46,axiom,
( ( incident(b1,a2a3)
& incident(b2,a3a1)
& incident(b3,a1a2) )
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t_b_in_a) ).
tff(f_64,axiom,
incident(b2,b2b3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ib2b3) ).
tff(f_114,axiom,
( ( a2a3 = b2b3 )
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not23) ).
tff(f_79,axiom,
incident(p1,a2a3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ip1a) ).
tff(f_153,axiom,
! [A,B,C,D] :
( ( incident(A,C)
& incident(A,D)
& incident(B,C)
& incident(B,D) )
=> ( ( A = B )
| ( C = D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique) ).
tff(f_63,axiom,
incident(b2,b1b2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ib2b1) ).
tff(f_58,axiom,
incident(a2,a2a3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ia2a3) ).
tff(f_66,axiom,
incident(b3,b3b1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ib3b1) ).
tff(f_108,axiom,
( ( b3 = b1 )
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diff_b3_b1) ).
tff(f_93,axiom,
( ( a1 = a2 )
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diff_a1_a2) ).
tff(f_57,axiom,
incident(a2,a1a2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ia2a1) ).
tff(f_72,axiom,
incident(a2,s2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ia2s2) ).
tff(f_102,axiom,
( ( b1 = b2 )
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diff_b1_b2) ).
tff(f_68,axiom,
incident(s,s1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',iss1) ).
tff(f_69,axiom,
incident(s,s2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',iss2) ).
tff(f_75,axiom,
incident(b2,s2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ib2s2) ).
tff(f_56,axiom,
incident(a1,a1a2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ia1a2) ).
tff(f_74,axiom,
incident(b1,s1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ib1s1) ).
tff(f_71,axiom,
incident(a1,s1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ia1s1) ).
tff(f_52,axiom,
( incident(a2,b3b1)
| incident(b1,a2a3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gap2) ).
tff(f_67,axiom,
incident(b1,b3b1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ib1b3) ).
tff(f_61,axiom,
incident(a1,a3a1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ia1a3) ).
tff(f_117,axiom,
( ( a3a1 = b3b1 )
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not31) ).
tff(f_82,axiom,
incident(p2,b3b1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ip2b) ).
tff(f_76,axiom,
incident(b3,s3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ib3s3) ).
tff(f_105,axiom,
( ( b2 = b3 )
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diff_b2_b3) ).
tff(f_70,axiom,
incident(s,s3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',iss3) ).
tff(f_32,axiom,
! [A] :
( ( incident(p3,A)
& incident(p1,A)
& incident(p2,A) )
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal_normal) ).
tff(f_96,axiom,
( ( a2 = a3 )
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diff_a2_a3) ).
tff(f_73,axiom,
incident(a3,s3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ia3s3) ).
tff(c_64,plain,
incident(p2,a3a1),
inference(cnfTransformation,[status(thm)],[f_81]) ).
tff(c_71675,plain,
! [A_2466,B_2467] :
( point(A_2466)
| ~ incident(A_2466,B_2467) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_71763,plain,
point(p2),
inference(resolution,[status(thm)],[c_64,c_71675]) ).
tff(c_62,plain,
incident(p1,b2b3),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_71772,plain,
point(p1),
inference(resolution,[status(thm)],[c_62,c_71675]) ).
tff(c_105,plain,
! [B_23,A_22] :
( incident(B_23,'#skF_1'(A_22,B_23))
| ~ point(B_23)
| ~ point(A_22) ),
inference(cnfTransformation,[status(thm)],[f_162]) ).
tff(c_113,plain,
~ goal,
inference(cnfTransformation,[status(thm)],[f_173]) ).
tff(c_4,plain,
( goal
| ~ incident(a3,b1b2)
| ~ incident(a2,b3b1)
| ~ incident(a1,b2b3) ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_124,plain,
( ~ incident(a3,b1b2)
| ~ incident(a2,b3b1)
| ~ incident(a1,b2b3) ),
inference(negUnitSimplification,[status(thm)],[c_113,c_4]) ).
tff(c_126,plain,
~ incident(a1,b2b3),
inference(splitLeft,[status(thm)],[c_124]) ).
tff(c_32,plain,
incident(b3,b2b3),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_137,plain,
! [A_29,B_30] :
( point(A_29)
| ~ incident(A_29,B_30) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_240,plain,
point(b3),
inference(resolution,[status(thm)],[c_32,c_137]) ).
tff(c_221,plain,
point(p2),
inference(resolution,[status(thm)],[c_64,c_137]) ).
tff(c_107,plain,
! [A_22,B_23] :
( incident(A_22,'#skF_1'(A_22,B_23))
| ~ point(B_23)
| ~ point(A_22) ),
inference(cnfTransformation,[status(thm)],[f_162]) ).
tff(c_56,plain,
incident(p3,a1a2),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_58,plain,
incident(p3,b1b2),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_84,plain,
( goal
| ( b1b2 != a1a2 ) ),
inference(cnfTransformation,[status(thm)],[f_111]) ).
tff(c_116,plain,
b1b2 != a1a2,
inference(negUnitSimplification,[status(thm)],[c_113,c_84]) ).
tff(c_8,plain,
( incident(b3,a1a2)
| incident(a1,b2b3) ),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_39926,plain,
incident(b3,a1a2),
inference(negUnitSimplification,[status(thm)],[c_126,c_8]) ).
tff(c_26,plain,
incident(b1,b1b2),
inference(cnfTransformation,[status(thm)],[f_62]) ).
tff(c_76,plain,
( goal
| ( a3 != a1 ) ),
inference(cnfTransformation,[status(thm)],[f_99]) ).
tff(c_120,plain,
a3 != a1,
inference(negUnitSimplification,[status(thm)],[c_113,c_76]) ).
tff(c_22,plain,
incident(a3,a3a1),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_20,plain,
incident(a3,a2a3),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_12,plain,
( incident(b2,a3a1)
| incident(a3,b1b2) ),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_39898,plain,
incident(a3,b1b2),
inference(splitLeft,[status(thm)],[c_12]) ).
tff(c_6,plain,
( goal
| ~ incident(b3,a1a2)
| ~ incident(b2,a3a1)
| ~ incident(b1,a2a3) ),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_123,plain,
( ~ incident(b3,a1a2)
| ~ incident(b2,a3a1)
| ~ incident(b1,a2a3) ),
inference(negUnitSimplification,[status(thm)],[c_113,c_6]) ).
tff(c_136,plain,
~ incident(b1,a2a3),
inference(splitLeft,[status(thm)],[c_123]) ).
tff(c_30,plain,
incident(b2,b2b3),
inference(cnfTransformation,[status(thm)],[f_64]) ).
tff(c_86,plain,
( goal
| ( b2b3 != a2a3 ) ),
inference(cnfTransformation,[status(thm)],[f_114]) ).
tff(c_115,plain,
b2b3 != a2a3,
inference(negUnitSimplification,[status(thm)],[c_113,c_86]) ).
tff(c_60,plain,
incident(p1,a2a3),
inference(cnfTransformation,[status(thm)],[f_79]) ).
tff(c_40042,plain,
! [D_1412,C_1413,B_1414,A_1415] :
( ( D_1412 = C_1413 )
| ( B_1414 = A_1415 )
| ~ incident(B_1414,D_1412)
| ~ incident(B_1414,C_1413)
| ~ incident(A_1415,D_1412)
| ~ incident(A_1415,C_1413) ),
inference(cnfTransformation,[status(thm)],[f_153]) ).
tff(c_57903,plain,
! [C_1990,A_1991] :
( ( a2a3 = C_1990 )
| ( p1 = A_1991 )
| ~ incident(p1,C_1990)
| ~ incident(A_1991,a2a3)
| ~ incident(A_1991,C_1990) ),
inference(resolution,[status(thm)],[c_60,c_40042]) ).
tff(c_57915,plain,
! [A_1991] :
( ( b2b3 = a2a3 )
| ( p1 = A_1991 )
| ~ incident(A_1991,a2a3)
| ~ incident(A_1991,b2b3) ),
inference(resolution,[status(thm)],[c_62,c_57903]) ).
tff(c_57930,plain,
! [A_1992] :
( ( p1 = A_1992 )
| ~ incident(A_1992,a2a3)
| ~ incident(A_1992,b2b3) ),
inference(negUnitSimplification,[status(thm)],[c_115,c_57915]) ).
tff(c_57959,plain,
( ( p1 = b2 )
| ~ incident(b2,a2a3) ),
inference(resolution,[status(thm)],[c_30,c_57930]) ).
tff(c_57961,plain,
~ incident(b2,a2a3),
inference(splitLeft,[status(thm)],[c_57959]) ).
tff(c_28,plain,
incident(b2,b1b2),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_18,plain,
incident(a2,a2a3),
inference(cnfTransformation,[status(thm)],[f_58]) ).
tff(c_34,plain,
incident(b3,b3b1),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_82,plain,
( goal
| ( b3 != b1 ) ),
inference(cnfTransformation,[status(thm)],[f_108]) ).
tff(c_117,plain,
b3 != b1,
inference(negUnitSimplification,[status(thm)],[c_113,c_82]) ).
tff(c_72,plain,
( goal
| ( a2 != a1 ) ),
inference(cnfTransformation,[status(thm)],[f_93]) ).
tff(c_122,plain,
a2 != a1,
inference(negUnitSimplification,[status(thm)],[c_113,c_72]) ).
tff(c_16,plain,
incident(a2,a1a2),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_46,plain,
incident(a2,s2),
inference(cnfTransformation,[status(thm)],[f_72]) ).
tff(c_359,plain,
incident(b3,a1a2),
inference(negUnitSimplification,[status(thm)],[c_126,c_8]) ).
tff(c_78,plain,
( goal
| ( b2 != b1 ) ),
inference(cnfTransformation,[status(thm)],[f_102]) ).
tff(c_119,plain,
b2 != b1,
inference(negUnitSimplification,[status(thm)],[c_113,c_78]) ).
tff(c_38,plain,
incident(s,s1),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_40,plain,
incident(s,s2),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_10486,plain,
! [D_381,C_382,B_383,A_384] :
( ( D_381 = C_382 )
| ( B_383 = A_384 )
| ~ incident(B_383,D_381)
| ~ incident(B_383,C_382)
| ~ incident(A_384,D_381)
| ~ incident(A_384,C_382) ),
inference(cnfTransformation,[status(thm)],[f_153]) ).
tff(c_10589,plain,
! [C_385,A_386] :
( ( s2 = C_385 )
| ( s = A_386 )
| ~ incident(s,C_385)
| ~ incident(A_386,s2)
| ~ incident(A_386,C_385) ),
inference(resolution,[status(thm)],[c_40,c_10486]) ).
tff(c_10610,plain,
! [A_386] :
( ( s2 = s1 )
| ( s = A_386 )
| ~ incident(A_386,s2)
| ~ incident(A_386,s1) ),
inference(resolution,[status(thm)],[c_38,c_10589]) ).
tff(c_10612,plain,
s2 = s1,
inference(splitLeft,[status(thm)],[c_10610]) ).
tff(c_52,plain,
incident(b2,s2),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_10616,plain,
incident(b2,s1),
inference(demodulation,[status(thm),theory(equality)],[c_10612,c_52]) ).
tff(c_14,plain,
incident(a1,a1a2),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_50,plain,
incident(b1,s1),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_11670,plain,
! [C_420,A_421] :
( ( s1 = C_420 )
| ( b1 = A_421 )
| ~ incident(b1,C_420)
| ~ incident(A_421,s1)
| ~ incident(A_421,C_420) ),
inference(resolution,[status(thm)],[c_50,c_10486]) ).
tff(c_11689,plain,
! [A_421] :
( ( s1 = b1b2 )
| ( b1 = A_421 )
| ~ incident(A_421,s1)
| ~ incident(A_421,b1b2) ),
inference(resolution,[status(thm)],[c_26,c_11670]) ).
tff(c_11693,plain,
s1 = b1b2,
inference(splitLeft,[status(thm)],[c_11689]) ).
tff(c_44,plain,
incident(a1,s1),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_11703,plain,
incident(a1,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_11693,c_44]) ).
tff(c_11701,plain,
s2 = b1b2,
inference(demodulation,[status(thm),theory(equality)],[c_11693,c_10612]) ).
tff(c_10582,plain,
! [C_382,A_384] :
( ( s2 = C_382 )
| ( a2 = A_384 )
| ~ incident(a2,C_382)
| ~ incident(A_384,s2)
| ~ incident(A_384,C_382) ),
inference(resolution,[status(thm)],[c_46,c_10486]) ).
tff(c_11885,plain,
! [C_428,A_429] :
( ( b1b2 = C_428 )
| ( a2 = A_429 )
| ~ incident(a2,C_428)
| ~ incident(A_429,b1b2)
| ~ incident(A_429,C_428) ),
inference(demodulation,[status(thm),theory(equality)],[c_11701,c_11701,c_10582]) ).
tff(c_11895,plain,
! [A_429] :
( ( b1b2 = a1a2 )
| ( a2 = A_429 )
| ~ incident(A_429,b1b2)
| ~ incident(A_429,a1a2) ),
inference(resolution,[status(thm)],[c_16,c_11885]) ).
tff(c_11978,plain,
! [A_431] :
( ( a2 = A_431 )
| ~ incident(A_431,b1b2)
| ~ incident(A_431,a1a2) ),
inference(negUnitSimplification,[status(thm)],[c_116,c_11895]) ).
tff(c_11990,plain,
( ( a2 = a1 )
| ~ incident(a1,a1a2) ),
inference(resolution,[status(thm)],[c_11703,c_11978]) ).
tff(c_12018,plain,
a2 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_11990]) ).
tff(c_12020,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_122,c_12018]) ).
tff(c_12023,plain,
! [A_432] :
( ( b1 = A_432 )
| ~ incident(A_432,s1)
| ~ incident(A_432,b1b2) ),
inference(splitRight,[status(thm)],[c_11689]) ).
tff(c_12032,plain,
( ( b2 = b1 )
| ~ incident(b2,b1b2) ),
inference(resolution,[status(thm)],[c_10616,c_12023]) ).
tff(c_12053,plain,
b2 = b1,
inference(demodulation,[status(thm),theory(equality)],[c_28,c_12032]) ).
tff(c_12055,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_119,c_12053]) ).
tff(c_12058,plain,
! [A_433] :
( ( s = A_433 )
| ~ incident(A_433,s2)
| ~ incident(A_433,s1) ),
inference(splitRight,[status(thm)],[c_10610]) ).
tff(c_12087,plain,
( ( s = a2 )
| ~ incident(a2,s1) ),
inference(resolution,[status(thm)],[c_46,c_12058]) ).
tff(c_12111,plain,
~ incident(a2,s1),
inference(splitLeft,[status(thm)],[c_12087]) ).
tff(c_10,plain,
( incident(b1,a2a3)
| incident(a2,b3b1) ),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_10395,plain,
incident(a2,b3b1),
inference(negUnitSimplification,[status(thm)],[c_136,c_10]) ).
tff(c_229,plain,
point(b1),
inference(resolution,[status(thm)],[c_26,c_137]) ).
tff(c_230,plain,
point(p1),
inference(resolution,[status(thm)],[c_62,c_137]) ).
tff(c_13179,plain,
! [C_473,A_474] :
( ( b3b1 = C_473 )
| ( b3 = A_474 )
| ~ incident(b3,C_473)
| ~ incident(A_474,b3b1)
| ~ incident(A_474,C_473) ),
inference(resolution,[status(thm)],[c_34,c_10486]) ).
tff(c_13200,plain,
! [A_474] :
( ( b3b1 = a1a2 )
| ( b3 = A_474 )
| ~ incident(A_474,b3b1)
| ~ incident(A_474,a1a2) ),
inference(resolution,[status(thm)],[c_359,c_13179]) ).
tff(c_14639,plain,
b3b1 = a1a2,
inference(splitLeft,[status(thm)],[c_13200]) ).
tff(c_36,plain,
incident(b1,b3b1),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_14651,plain,
incident(b1,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_14639,c_36]) ).
tff(c_10572,plain,
! [C_382,A_384] :
( ( b1b2 = C_382 )
| ( b1 = A_384 )
| ~ incident(b1,C_382)
| ~ incident(A_384,b1b2)
| ~ incident(A_384,C_382) ),
inference(resolution,[status(thm)],[c_26,c_10486]) ).
tff(c_14662,plain,
! [A_384] :
( ( b1b2 = a1a2 )
| ( b1 = A_384 )
| ~ incident(A_384,b1b2)
| ~ incident(A_384,a1a2) ),
inference(resolution,[status(thm)],[c_14651,c_10572]) ).
tff(c_14702,plain,
! [A_524] :
( ( b1 = A_524 )
| ~ incident(A_524,b1b2)
| ~ incident(A_524,a1a2) ),
inference(negUnitSimplification,[status(thm)],[c_116,c_14662]) ).
tff(c_14713,plain,
( ( p3 = b1 )
| ~ incident(p3,a1a2) ),
inference(resolution,[status(thm)],[c_58,c_14702]) ).
tff(c_14728,plain,
p3 = b1,
inference(demodulation,[status(thm),theory(equality)],[c_56,c_14713]) ).
tff(c_24,plain,
incident(a1,a3a1),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_13367,plain,
b3b1 = a1a2,
inference(splitLeft,[status(thm)],[c_13200]) ).
tff(c_13321,plain,
! [C_479,A_480] :
( ( b3b1 = C_479 )
| ( b1 = A_480 )
| ~ incident(b1,C_479)
| ~ incident(A_480,b3b1)
| ~ incident(A_480,C_479) ),
inference(resolution,[status(thm)],[c_36,c_10486]) ).
tff(c_13342,plain,
! [A_480] :
( ( s1 = b3b1 )
| ( b1 = A_480 )
| ~ incident(A_480,b3b1)
| ~ incident(A_480,s1) ),
inference(resolution,[status(thm)],[c_50,c_13321]) ).
tff(c_13763,plain,
! [A_480] :
( ( s1 = a1a2 )
| ( b1 = A_480 )
| ~ incident(A_480,a1a2)
| ~ incident(A_480,s1) ),
inference(demodulation,[status(thm),theory(equality)],[c_13367,c_13367,c_13342]) ).
tff(c_13764,plain,
s1 = a1a2,
inference(splitLeft,[status(thm)],[c_13763]) ).
tff(c_13768,plain,
~ incident(a2,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_13764,c_12111]) ).
tff(c_13778,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_13768]) ).
tff(c_13781,plain,
! [A_494] :
( ( b1 = A_494 )
| ~ incident(A_494,a1a2)
| ~ incident(A_494,s1) ),
inference(splitRight,[status(thm)],[c_13763]) ).
tff(c_13795,plain,
( ( b1 = a1 )
| ~ incident(a1,a1a2) ),
inference(resolution,[status(thm)],[c_44,c_13781]) ).
tff(c_13808,plain,
b1 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_13795]) ).
tff(c_88,plain,
( goal
| ( b3b1 != a3a1 ) ),
inference(cnfTransformation,[status(thm)],[f_117]) ).
tff(c_114,plain,
b3b1 != a3a1,
inference(negUnitSimplification,[status(thm)],[c_113,c_88]) ).
tff(c_66,plain,
incident(p2,b3b1),
inference(cnfTransformation,[status(thm)],[f_82]) ).
tff(c_13261,plain,
! [C_476,A_477] :
( ( b3b1 = C_476 )
| ( p2 = A_477 )
| ~ incident(p2,C_476)
| ~ incident(A_477,b3b1)
| ~ incident(A_477,C_476) ),
inference(resolution,[status(thm)],[c_66,c_10486]) ).
tff(c_13269,plain,
! [A_477] :
( ( b3b1 = a3a1 )
| ( p2 = A_477 )
| ~ incident(A_477,b3b1)
| ~ incident(A_477,a3a1) ),
inference(resolution,[status(thm)],[c_64,c_13261]) ).
tff(c_13284,plain,
! [A_478] :
( ( p2 = A_478 )
| ~ incident(A_478,b3b1)
| ~ incident(A_478,a3a1) ),
inference(negUnitSimplification,[status(thm)],[c_114,c_13269]) ).
tff(c_13316,plain,
( ( p2 = b1 )
| ~ incident(b1,a3a1) ),
inference(resolution,[status(thm)],[c_36,c_13284]) ).
tff(c_13318,plain,
~ incident(b1,a3a1),
inference(splitLeft,[status(thm)],[c_13316]) ).
tff(c_13844,plain,
~ incident(a1,a3a1),
inference(demodulation,[status(thm),theory(equality)],[c_13808,c_13318]) ).
tff(c_13856,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_24,c_13844]) ).
tff(c_13946,plain,
! [A_501] :
( ( b3 = A_501 )
| ~ incident(A_501,b3b1)
| ~ incident(A_501,a1a2) ),
inference(splitRight,[status(thm)],[c_13200]) ).
tff(c_13957,plain,
( ( b3 = a2 )
| ~ incident(a2,a1a2) ),
inference(resolution,[status(thm)],[c_10395,c_13946]) ).
tff(c_13975,plain,
b3 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_13957]) ).
tff(c_54,plain,
incident(b3,s3),
inference(cnfTransformation,[status(thm)],[f_76]) ).
tff(c_80,plain,
( goal
| ( b3 != b2 ) ),
inference(cnfTransformation,[status(thm)],[f_105]) ).
tff(c_118,plain,
b3 != b2,
inference(negUnitSimplification,[status(thm)],[c_113,c_80]) ).
tff(c_42,plain,
incident(s,s3),
inference(cnfTransformation,[status(thm)],[f_70]) ).
tff(c_10611,plain,
! [A_386] :
( ( s3 = s2 )
| ( s = A_386 )
| ~ incident(A_386,s2)
| ~ incident(A_386,s3) ),
inference(resolution,[status(thm)],[c_42,c_10589]) ).
tff(c_12144,plain,
s3 = s2,
inference(splitLeft,[status(thm)],[c_10611]) ).
tff(c_12169,plain,
incident(b3,s2),
inference(demodulation,[status(thm),theory(equality)],[c_12144,c_54]) ).
tff(c_12565,plain,
! [C_449,A_450] :
( ( b2b3 = C_449 )
| ( b2 = A_450 )
| ~ incident(b2,C_449)
| ~ incident(A_450,b2b3)
| ~ incident(A_450,C_449) ),
inference(resolution,[status(thm)],[c_30,c_10486]) ).
tff(c_12588,plain,
! [A_450] :
( ( s2 = b2b3 )
| ( b2 = A_450 )
| ~ incident(A_450,b2b3)
| ~ incident(A_450,s2) ),
inference(resolution,[status(thm)],[c_52,c_12565]) ).
tff(c_12727,plain,
s2 = b2b3,
inference(splitLeft,[status(thm)],[c_12588]) ).
tff(c_12737,plain,
incident(a2,b2b3),
inference(demodulation,[status(thm),theory(equality)],[c_12727,c_46]) ).
tff(c_12089,plain,
! [C_434,A_435] :
( ( a2a3 = C_434 )
| ( p1 = A_435 )
| ~ incident(p1,C_434)
| ~ incident(A_435,a2a3)
| ~ incident(A_435,C_434) ),
inference(resolution,[status(thm)],[c_60,c_10486]) ).
tff(c_12099,plain,
! [A_435] :
( ( b2b3 = a2a3 )
| ( p1 = A_435 )
| ~ incident(A_435,a2a3)
| ~ incident(A_435,b2b3) ),
inference(resolution,[status(thm)],[c_62,c_12089]) ).
tff(c_12110,plain,
! [A_435] :
( ( p1 = A_435 )
| ~ incident(A_435,a2a3)
| ~ incident(A_435,b2b3) ),
inference(negUnitSimplification,[status(thm)],[c_115,c_12099]) ).
tff(c_12771,plain,
( ( p1 = a2 )
| ~ incident(a2,a2a3) ),
inference(resolution,[status(thm)],[c_12737,c_12110]) ).
tff(c_12782,plain,
p1 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_18,c_12771]) ).
tff(c_2,plain,
! [A_1] :
( goal
| ~ incident(p2,A_1)
| ~ incident(p1,A_1)
| ~ incident(p3,A_1) ),
inference(cnfTransformation,[status(thm)],[f_32]) ).
tff(c_125,plain,
! [A_1] :
( ~ incident(p2,A_1)
| ~ incident(p1,A_1)
| ~ incident(p3,A_1) ),
inference(negUnitSimplification,[status(thm)],[c_113,c_2]) ).
tff(c_135,plain,
( ~ incident(p2,a1a2)
| ~ incident(p1,a1a2) ),
inference(resolution,[status(thm)],[c_56,c_125]) ).
tff(c_370,plain,
~ incident(p1,a1a2),
inference(splitLeft,[status(thm)],[c_135]) ).
tff(c_12798,plain,
~ incident(a2,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_12782,c_370]) ).
tff(c_12806,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_12798]) ).
tff(c_12835,plain,
! [A_460] :
( ( b2 = A_460 )
| ~ incident(A_460,b2b3)
| ~ incident(A_460,s2) ),
inference(splitRight,[status(thm)],[c_12588]) ).
tff(c_12841,plain,
( ( b3 = b2 )
| ~ incident(b3,b2b3) ),
inference(resolution,[status(thm)],[c_12169,c_12835]) ).
tff(c_12862,plain,
b3 = b2,
inference(demodulation,[status(thm),theory(equality)],[c_32,c_12841]) ).
tff(c_12864,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_118,c_12862]) ).
tff(c_12867,plain,
! [A_461] :
( ( s = A_461 )
| ~ incident(A_461,s2)
| ~ incident(A_461,s3) ),
inference(splitRight,[status(thm)],[c_10611]) ).
tff(c_12891,plain,
( ( s = b3 )
| ~ incident(b3,s2) ),
inference(resolution,[status(thm)],[c_54,c_12867]) ).
tff(c_12897,plain,
~ incident(b3,s2),
inference(splitLeft,[status(thm)],[c_12891]) ).
tff(c_13988,plain,
~ incident(a2,s2),
inference(demodulation,[status(thm),theory(equality)],[c_13975,c_12897]) ).
tff(c_13999,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_46,c_13988]) ).
tff(c_14000,plain,
p2 = b1,
inference(splitRight,[status(thm)],[c_13316]) ).
tff(c_12898,plain,
! [C_462,A_463] :
( ( b1b2 = C_462 )
| ( b1 = A_463 )
| ~ incident(b1,C_462)
| ~ incident(A_463,b1b2)
| ~ incident(A_463,C_462) ),
inference(resolution,[status(thm)],[c_26,c_10486]) ).
tff(c_12920,plain,
! [A_463] :
( ( b3b1 = b1b2 )
| ( b1 = A_463 )
| ~ incident(A_463,b1b2)
| ~ incident(A_463,b3b1) ),
inference(resolution,[status(thm)],[c_36,c_12898]) ).
tff(c_13206,plain,
b3b1 = b1b2,
inference(splitLeft,[status(thm)],[c_12920]) ).
tff(c_12998,plain,
! [C_466,A_467] :
( ( s2 = C_466 )
| ( a2 = A_467 )
| ~ incident(a2,C_466)
| ~ incident(A_467,s2)
| ~ incident(A_467,C_466) ),
inference(resolution,[status(thm)],[c_46,c_10486]) ).
tff(c_13019,plain,
! [A_467] :
( ( s2 = b3b1 )
| ( a2 = A_467 )
| ~ incident(A_467,s2)
| ~ incident(A_467,b3b1) ),
inference(resolution,[status(thm)],[c_10395,c_12998]) ).
tff(c_13026,plain,
s2 = b3b1,
inference(splitLeft,[status(thm)],[c_13019]) ).
tff(c_13029,plain,
~ incident(b3,b3b1),
inference(demodulation,[status(thm),theory(equality)],[c_13026,c_12897]) ).
tff(c_13041,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_34,c_13029]) ).
tff(c_13044,plain,
! [A_468] :
( ( a2 = A_468 )
| ~ incident(A_468,s2)
| ~ incident(A_468,b3b1) ),
inference(splitRight,[status(thm)],[c_13019]) ).
tff(c_13069,plain,
( ( b2 = a2 )
| ~ incident(b2,b3b1) ),
inference(resolution,[status(thm)],[c_52,c_13044]) ).
tff(c_13096,plain,
~ incident(b2,b3b1),
inference(splitLeft,[status(thm)],[c_13069]) ).
tff(c_13209,plain,
~ incident(b2,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_13206,c_13096]) ).
tff(c_13221,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_28,c_13209]) ).
tff(c_13224,plain,
! [A_475] :
( ( b1 = A_475 )
| ~ incident(A_475,b1b2)
| ~ incident(A_475,b3b1) ),
inference(splitRight,[status(thm)],[c_12920]) ).
tff(c_13252,plain,
( ( p2 = b1 )
| ~ incident(p2,b1b2) ),
inference(resolution,[status(thm)],[c_66,c_13224]) ).
tff(c_13260,plain,
~ incident(p2,b1b2),
inference(splitLeft,[status(thm)],[c_13252]) ).
tff(c_14004,plain,
~ incident(b1,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_14000,c_13260]) ).
tff(c_14016,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_26,c_14004]) ).
tff(c_14017,plain,
p2 = b1,
inference(splitRight,[status(thm)],[c_13252]) ).
tff(c_14025,plain,
! [A_1] :
( ~ incident(b1,A_1)
| ~ incident(p1,A_1)
| ~ incident(p3,A_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_14017,c_125]) ).
tff(c_14832,plain,
! [A_529] :
( ~ incident(b1,A_529)
| ~ incident(p1,A_529)
| ~ incident(b1,A_529) ),
inference(demodulation,[status(thm),theory(equality)],[c_14728,c_14025]) ).
tff(c_14836,plain,
! [A_22] :
( ~ incident(b1,'#skF_1'(A_22,p1))
| ~ point(p1)
| ~ point(A_22) ),
inference(resolution,[status(thm)],[c_105,c_14832]) ).
tff(c_14855,plain,
! [A_530] :
( ~ incident(b1,'#skF_1'(A_530,p1))
| ~ point(A_530) ),
inference(demodulation,[status(thm),theory(equality)],[c_230,c_14836]) ).
tff(c_14859,plain,
( ~ point(p1)
| ~ point(b1) ),
inference(resolution,[status(thm)],[c_107,c_14855]) ).
tff(c_14863,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_229,c_230,c_14859]) ).
tff(c_14874,plain,
! [A_532] :
( ( b3 = A_532 )
| ~ incident(A_532,b3b1)
| ~ incident(A_532,a1a2) ),
inference(splitRight,[status(thm)],[c_13200]) ).
tff(c_14885,plain,
( ( b3 = a2 )
| ~ incident(a2,a1a2) ),
inference(resolution,[status(thm)],[c_10395,c_14874]) ).
tff(c_14900,plain,
b3 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_14885]) ).
tff(c_14913,plain,
~ incident(a2,s2),
inference(demodulation,[status(thm),theory(equality)],[c_14900,c_12897]) ).
tff(c_14924,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_46,c_14913]) ).
tff(c_14925,plain,
b2 = a2,
inference(splitRight,[status(thm)],[c_13069]) ).
tff(c_12112,plain,
! [A_436] :
( ( p1 = A_436 )
| ~ incident(A_436,a2a3)
| ~ incident(A_436,b2b3) ),
inference(negUnitSimplification,[status(thm)],[c_115,c_12099]) ).
tff(c_12141,plain,
( ( p1 = b2 )
| ~ incident(b2,a2a3) ),
inference(resolution,[status(thm)],[c_30,c_12112]) ).
tff(c_12143,plain,
~ incident(b2,a2a3),
inference(splitLeft,[status(thm)],[c_12141]) ).
tff(c_14950,plain,
~ incident(a2,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_14925,c_12143]) ).
tff(c_14961,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_18,c_14950]) ).
tff(c_14963,plain,
incident(b3,s2),
inference(splitRight,[status(thm)],[c_12891]) ).
tff(c_16515,plain,
! [C_585,A_586] :
( ( s2 = C_585 )
| ( a2 = A_586 )
| ~ incident(a2,C_585)
| ~ incident(A_586,s2)
| ~ incident(A_586,C_585) ),
inference(resolution,[status(thm)],[c_46,c_10486]) ).
tff(c_16536,plain,
! [A_586] :
( ( s2 = b3b1 )
| ( a2 = A_586 )
| ~ incident(A_586,s2)
| ~ incident(A_586,b3b1) ),
inference(resolution,[status(thm)],[c_10395,c_16515]) ).
tff(c_16640,plain,
s2 = b3b1,
inference(splitLeft,[status(thm)],[c_16536]) ).
tff(c_16652,plain,
incident(b2,b3b1),
inference(demodulation,[status(thm),theory(equality)],[c_16640,c_52]) ).
tff(c_15521,plain,
! [C_555,A_556] :
( ( b2b3 = C_555 )
| ( b3 = A_556 )
| ~ incident(b3,C_555)
| ~ incident(A_556,b2b3)
| ~ incident(A_556,C_555) ),
inference(resolution,[status(thm)],[c_32,c_10486]) ).
tff(c_15552,plain,
! [A_556] :
( ( b3b1 = b2b3 )
| ( b3 = A_556 )
| ~ incident(A_556,b2b3)
| ~ incident(A_556,b3b1) ),
inference(resolution,[status(thm)],[c_34,c_15521]) ).
tff(c_15903,plain,
b3b1 = b2b3,
inference(splitLeft,[status(thm)],[c_15552]) ).
tff(c_15934,plain,
incident(a2,b2b3),
inference(demodulation,[status(thm),theory(equality)],[c_15903,c_10395]) ).
tff(c_15997,plain,
( ( p1 = a2 )
| ~ incident(a2,a2a3) ),
inference(resolution,[status(thm)],[c_15934,c_12110]) ).
tff(c_16014,plain,
p1 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_18,c_15997]) ).
tff(c_16028,plain,
~ incident(a2,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_16014,c_370]) ).
tff(c_16036,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_16028]) ).
tff(c_16037,plain,
! [A_556] :
( ( b3 = A_556 )
| ~ incident(A_556,b2b3)
| ~ incident(A_556,b3b1) ),
inference(splitRight,[status(thm)],[c_15552]) ).
tff(c_16688,plain,
( ( b3 = b2 )
| ~ incident(b2,b2b3) ),
inference(resolution,[status(thm)],[c_16652,c_16037]) ).
tff(c_16705,plain,
b3 = b2,
inference(demodulation,[status(thm),theory(equality)],[c_30,c_16688]) ).
tff(c_16707,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_118,c_16705]) ).
tff(c_16758,plain,
! [A_593] :
( ( a2 = A_593 )
| ~ incident(A_593,s2)
| ~ incident(A_593,b3b1) ),
inference(splitRight,[status(thm)],[c_16536]) ).
tff(c_16761,plain,
( ( b3 = a2 )
| ~ incident(b3,b3b1) ),
inference(resolution,[status(thm)],[c_14963,c_16758]) ).
tff(c_16778,plain,
b3 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_34,c_16761]) ).
tff(c_14962,plain,
s = b3,
inference(splitRight,[status(thm)],[c_12891]) ).
tff(c_14969,plain,
incident(b3,s1),
inference(demodulation,[status(thm),theory(equality)],[c_14962,c_38]) ).
tff(c_16801,plain,
incident(a2,s1),
inference(demodulation,[status(thm),theory(equality)],[c_16778,c_14969]) ).
tff(c_16813,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12111,c_16801]) ).
tff(c_16814,plain,
p1 = b2,
inference(splitRight,[status(thm)],[c_12141]) ).
tff(c_131,plain,
( ~ incident(p2,b1b2)
| ~ incident(p1,b1b2) ),
inference(resolution,[status(thm)],[c_58,c_125]) ).
tff(c_356,plain,
~ incident(p1,b1b2),
inference(splitLeft,[status(thm)],[c_131]) ).
tff(c_16823,plain,
~ incident(b2,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_16814,c_356]) ).
tff(c_16830,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_28,c_16823]) ).
tff(c_16831,plain,
s = a2,
inference(splitRight,[status(thm)],[c_12087]) ).
tff(c_16864,plain,
incident(a2,s3),
inference(demodulation,[status(thm),theory(equality)],[c_16831,c_42]) ).
tff(c_74,plain,
( goal
| ( a3 != a2 ) ),
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_121,plain,
a3 != a2,
inference(negUnitSimplification,[status(thm)],[c_113,c_74]) ).
tff(c_17163,plain,
! [C_604,A_605] :
( ( a1a2 = C_604 )
| ( a2 = A_605 )
| ~ incident(a2,C_604)
| ~ incident(A_605,a1a2)
| ~ incident(A_605,C_604) ),
inference(resolution,[status(thm)],[c_16,c_10486]) ).
tff(c_17190,plain,
! [A_605] :
( ( b3b1 = a1a2 )
| ( a2 = A_605 )
| ~ incident(A_605,a1a2)
| ~ incident(A_605,b3b1) ),
inference(resolution,[status(thm)],[c_10395,c_17163]) ).
tff(c_17316,plain,
b3b1 = a1a2,
inference(splitLeft,[status(thm)],[c_17190]) ).
tff(c_16833,plain,
! [C_594,A_595] :
( ( a2a3 = C_594 )
| ( a2 = A_595 )
| ~ incident(a2,C_594)
| ~ incident(A_595,a2a3)
| ~ incident(A_595,C_594) ),
inference(resolution,[status(thm)],[c_18,c_10486]) ).
tff(c_16854,plain,
! [A_595] :
( ( b3b1 = a2a3 )
| ( a2 = A_595 )
| ~ incident(A_595,a2a3)
| ~ incident(A_595,b3b1) ),
inference(resolution,[status(thm)],[c_10395,c_16833]) ).
tff(c_17115,plain,
b3b1 = a2a3,
inference(splitLeft,[status(thm)],[c_16854]) ).
tff(c_17119,plain,
incident(b1,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_17115,c_36]) ).
tff(c_17125,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_136,c_17119]) ).
tff(c_17126,plain,
! [A_595] :
( ( a2 = A_595 )
| ~ incident(A_595,a2a3)
| ~ incident(A_595,b3b1) ),
inference(splitRight,[status(thm)],[c_16854]) ).
tff(c_17421,plain,
! [A_613] :
( ( a2 = A_613 )
| ~ incident(A_613,a2a3)
| ~ incident(A_613,a1a2) ),
inference(demodulation,[status(thm),theory(equality)],[c_17316,c_17126]) ).
tff(c_17438,plain,
( ( a3 = a2 )
| ~ incident(a3,a1a2) ),
inference(resolution,[status(thm)],[c_20,c_17421]) ).
tff(c_17452,plain,
~ incident(a3,a1a2),
inference(negUnitSimplification,[status(thm)],[c_121,c_17438]) ).
tff(c_17962,plain,
! [C_633,A_634] :
( ( s3 = C_633 )
| ( b3 = A_634 )
| ~ incident(b3,C_633)
| ~ incident(A_634,s3)
| ~ incident(A_634,C_633) ),
inference(resolution,[status(thm)],[c_54,c_10486]) ).
tff(c_17981,plain,
! [A_634] :
( ( s3 = a1a2 )
| ( b3 = A_634 )
| ~ incident(A_634,s3)
| ~ incident(A_634,a1a2) ),
inference(resolution,[status(thm)],[c_359,c_17962]) ).
tff(c_17986,plain,
s3 = a1a2,
inference(splitLeft,[status(thm)],[c_17981]) ).
tff(c_48,plain,
incident(a3,s3),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_17995,plain,
incident(a3,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_17986,c_48]) ).
tff(c_18000,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_17452,c_17995]) ).
tff(c_18035,plain,
! [A_636] :
( ( b3 = A_636 )
| ~ incident(A_636,s3)
| ~ incident(A_636,a1a2) ),
inference(splitRight,[status(thm)],[c_17981]) ).
tff(c_18038,plain,
( ( b3 = a2 )
| ~ incident(a2,a1a2) ),
inference(resolution,[status(thm)],[c_16864,c_18035]) ).
tff(c_18055,plain,
b3 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_18038]) ).
tff(c_17035,plain,
! [A_386] :
( ( s3 = s2 )
| ( a2 = A_386 )
| ~ incident(A_386,s2)
| ~ incident(A_386,s3) ),
inference(demodulation,[status(thm),theory(equality)],[c_16831,c_10611]) ).
tff(c_17036,plain,
s3 = s2,
inference(splitLeft,[status(thm)],[c_17035]) ).
tff(c_17040,plain,
incident(a3,s2),
inference(demodulation,[status(thm),theory(equality)],[c_17036,c_48]) ).
tff(c_16888,plain,
! [A_596] :
( ( p1 = A_596 )
| ~ incident(A_596,a2a3)
| ~ incident(A_596,b2b3) ),
inference(negUnitSimplification,[status(thm)],[c_115,c_12099]) ).
tff(c_16917,plain,
( ( p1 = b2 )
| ~ incident(b2,a2a3) ),
inference(resolution,[status(thm)],[c_30,c_16888]) ).
tff(c_16935,plain,
~ incident(b2,a2a3),
inference(splitLeft,[status(thm)],[c_16917]) ).
tff(c_16858,plain,
! [A_595] :
( ( s2 = a2a3 )
| ( a2 = A_595 )
| ~ incident(A_595,a2a3)
| ~ incident(A_595,s2) ),
inference(resolution,[status(thm)],[c_46,c_16833]) ).
tff(c_16996,plain,
s2 = a2a3,
inference(splitLeft,[status(thm)],[c_16858]) ).
tff(c_17002,plain,
incident(b2,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_16996,c_52]) ).
tff(c_17006,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_16935,c_17002]) ).
tff(c_17007,plain,
! [A_595] :
( ( a2 = A_595 )
| ~ incident(A_595,a2a3)
| ~ incident(A_595,s2) ),
inference(splitRight,[status(thm)],[c_16858]) ).
tff(c_17096,plain,
( ( a3 = a2 )
| ~ incident(a3,a2a3) ),
inference(resolution,[status(thm)],[c_17040,c_17007]) ).
tff(c_17110,plain,
a3 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_20,c_17096]) ).
tff(c_17112,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_121,c_17110]) ).
tff(c_17195,plain,
! [A_606] :
( ( a2 = A_606 )
| ~ incident(A_606,s2)
| ~ incident(A_606,s3) ),
inference(splitRight,[status(thm)],[c_17035]) ).
tff(c_17223,plain,
( ( b3 = a2 )
| ~ incident(b3,s2) ),
inference(resolution,[status(thm)],[c_54,c_17195]) ).
tff(c_17227,plain,
~ incident(b3,s2),
inference(splitLeft,[status(thm)],[c_17223]) ).
tff(c_18073,plain,
~ incident(a2,s2),
inference(demodulation,[status(thm),theory(equality)],[c_18055,c_17227]) ).
tff(c_18083,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_46,c_18073]) ).
tff(c_18113,plain,
! [A_639] :
( ( a2 = A_639 )
| ~ incident(A_639,a1a2)
| ~ incident(A_639,b3b1) ),
inference(splitRight,[status(thm)],[c_17190]) ).
tff(c_18133,plain,
( ( b3 = a2 )
| ~ incident(b3,a1a2) ),
inference(resolution,[status(thm)],[c_34,c_18113]) ).
tff(c_18148,plain,
b3 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_359,c_18133]) ).
tff(c_18149,plain,
~ incident(a2,s2),
inference(demodulation,[status(thm),theory(equality)],[c_18148,c_17227]) ).
tff(c_18160,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_46,c_18149]) ).
tff(c_18161,plain,
b3 = a2,
inference(splitRight,[status(thm)],[c_17223]) ).
tff(c_16916,plain,
( ( p1 = b3 )
| ~ incident(b3,a2a3) ),
inference(resolution,[status(thm)],[c_32,c_16888]) ).
tff(c_16934,plain,
~ incident(b3,a2a3),
inference(splitLeft,[status(thm)],[c_16916]) ).
tff(c_18181,plain,
~ incident(a2,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_18161,c_16934]) ).
tff(c_18191,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_18,c_18181]) ).
tff(c_18192,plain,
p1 = b2,
inference(splitRight,[status(thm)],[c_16917]) ).
tff(c_18201,plain,
~ incident(b2,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_18192,c_356]) ).
tff(c_18208,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_28,c_18201]) ).
tff(c_18209,plain,
p1 = b3,
inference(splitRight,[status(thm)],[c_16916]) ).
tff(c_18251,plain,
~ incident(b3,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_18209,c_370]) ).
tff(c_18259,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_359,c_18251]) ).
tff(c_18260,plain,
~ incident(p2,a1a2),
inference(splitRight,[status(thm)],[c_135]) ).
tff(c_18263,plain,
incident(a2,b3b1),
inference(negUnitSimplification,[status(thm)],[c_136,c_10]) ).
tff(c_31704,plain,
! [D_1120,C_1121,B_1122,A_1123] :
( ( D_1120 = C_1121 )
| ( B_1122 = A_1123 )
| ~ incident(B_1122,D_1120)
| ~ incident(B_1122,C_1121)
| ~ incident(A_1123,D_1120)
| ~ incident(A_1123,C_1121) ),
inference(cnfTransformation,[status(thm)],[f_153]) ).
tff(c_32555,plain,
! [C_1150,A_1151] :
( ( b3b1 = C_1150 )
| ( a2 = A_1151 )
| ~ incident(a2,C_1150)
| ~ incident(A_1151,b3b1)
| ~ incident(A_1151,C_1150) ),
inference(resolution,[status(thm)],[c_18263,c_31704]) ).
tff(c_32579,plain,
! [A_1151] :
( ( b3b1 = a1a2 )
| ( a2 = A_1151 )
| ~ incident(A_1151,b3b1)
| ~ incident(A_1151,a1a2) ),
inference(resolution,[status(thm)],[c_16,c_32555]) ).
tff(c_32840,plain,
b3b1 = a1a2,
inference(splitLeft,[status(thm)],[c_32579]) ).
tff(c_32846,plain,
incident(p2,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_32840,c_66]) ).
tff(c_32853,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_18260,c_32846]) ).
tff(c_32856,plain,
! [A_1161] :
( ( a2 = A_1161 )
| ~ incident(A_1161,b3b1)
| ~ incident(A_1161,a1a2) ),
inference(splitRight,[status(thm)],[c_32579]) ).
tff(c_32876,plain,
( ( b3 = a2 )
| ~ incident(b3,a1a2) ),
inference(resolution,[status(thm)],[c_34,c_32856]) ).
tff(c_32891,plain,
b3 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_359,c_32876]) ).
tff(c_32926,plain,
b1 != a2,
inference(demodulation,[status(thm),theory(equality)],[c_32891,c_117]) ).
tff(c_31810,plain,
! [C_1124,A_1125] :
( ( s2 = C_1124 )
| ( s = A_1125 )
| ~ incident(s,C_1124)
| ~ incident(A_1125,s2)
| ~ incident(A_1125,C_1124) ),
inference(resolution,[status(thm)],[c_40,c_31704]) ).
tff(c_31831,plain,
! [A_1125] :
( ( s2 = s1 )
| ( s = A_1125 )
| ~ incident(A_1125,s2)
| ~ incident(A_1125,s1) ),
inference(resolution,[status(thm)],[c_38,c_31810]) ).
tff(c_31833,plain,
s2 = s1,
inference(splitLeft,[status(thm)],[c_31831]) ).
tff(c_31864,plain,
incident(a2,s1),
inference(demodulation,[status(thm),theory(equality)],[c_31833,c_46]) ).
tff(c_32892,plain,
! [C_1162,A_1163] :
( ( s1 = C_1162 )
| ( b1 = A_1163 )
| ~ incident(b1,C_1162)
| ~ incident(A_1163,s1)
| ~ incident(A_1163,C_1162) ),
inference(resolution,[status(thm)],[c_50,c_31704]) ).
tff(c_32914,plain,
! [A_1163] :
( ( s1 = b3b1 )
| ( b1 = A_1163 )
| ~ incident(A_1163,s1)
| ~ incident(A_1163,b3b1) ),
inference(resolution,[status(thm)],[c_36,c_32892]) ).
tff(c_33083,plain,
s1 = b3b1,
inference(splitLeft,[status(thm)],[c_32914]) ).
tff(c_33092,plain,
incident(a1,b3b1),
inference(demodulation,[status(thm),theory(equality)],[c_33083,c_44]) ).
tff(c_32854,plain,
! [A_1151] :
( ( a2 = A_1151 )
| ~ incident(A_1151,b3b1)
| ~ incident(A_1151,a1a2) ),
inference(splitRight,[status(thm)],[c_32579]) ).
tff(c_33108,plain,
( ( a2 = a1 )
| ~ incident(a1,a1a2) ),
inference(resolution,[status(thm)],[c_33092,c_32854]) ).
tff(c_33122,plain,
a2 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_33108]) ).
tff(c_33124,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_122,c_33122]) ).
tff(c_33159,plain,
! [A_1168] :
( ( b1 = A_1168 )
| ~ incident(A_1168,s1)
| ~ incident(A_1168,b3b1) ),
inference(splitRight,[status(thm)],[c_32914]) ).
tff(c_33162,plain,
( ( b1 = a2 )
| ~ incident(a2,b3b1) ),
inference(resolution,[status(thm)],[c_31864,c_33159]) ).
tff(c_33182,plain,
b1 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_18263,c_33162]) ).
tff(c_33184,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_32926,c_33182]) ).
tff(c_33187,plain,
! [A_1169] :
( ( s = A_1169 )
| ~ incident(A_1169,s2)
| ~ incident(A_1169,s1) ),
inference(splitRight,[status(thm)],[c_31831]) ).
tff(c_33216,plain,
( ( s = a2 )
| ~ incident(a2,s1) ),
inference(resolution,[status(thm)],[c_46,c_33187]) ).
tff(c_33241,plain,
~ incident(a2,s1),
inference(splitLeft,[status(thm)],[c_33216]) ).
tff(c_36064,plain,
! [C_1268,A_1269] :
( ( a1a2 = C_1268 )
| ( a2 = A_1269 )
| ~ incident(a2,C_1268)
| ~ incident(A_1269,a1a2)
| ~ incident(A_1269,C_1268) ),
inference(resolution,[status(thm)],[c_16,c_31704]) ).
tff(c_36085,plain,
! [A_1269] :
( ( b3b1 = a1a2 )
| ( a2 = A_1269 )
| ~ incident(A_1269,a1a2)
| ~ incident(A_1269,b3b1) ),
inference(resolution,[status(thm)],[c_18263,c_36064]) ).
tff(c_36134,plain,
b3b1 = a1a2,
inference(splitLeft,[status(thm)],[c_36085]) ).
tff(c_36138,plain,
incident(p2,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_36134,c_66]) ).
tff(c_36145,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_18260,c_36138]) ).
tff(c_36383,plain,
! [A_1279] :
( ( a2 = A_1279 )
| ~ incident(A_1279,a1a2)
| ~ incident(A_1279,b3b1) ),
inference(splitRight,[status(thm)],[c_36085]) ).
tff(c_36403,plain,
( ( b3 = a2 )
| ~ incident(b3,a1a2) ),
inference(resolution,[status(thm)],[c_34,c_36383]) ).
tff(c_36418,plain,
b3 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_359,c_36403]) ).
tff(c_33218,plain,
! [C_1170,A_1171] :
( ( s3 = C_1170 )
| ( s = A_1171 )
| ~ incident(s,C_1170)
| ~ incident(A_1171,s3)
| ~ incident(A_1171,C_1170) ),
inference(resolution,[status(thm)],[c_42,c_31704]) ).
tff(c_33238,plain,
! [A_1171] :
( ( s3 = s1 )
| ( s = A_1171 )
| ~ incident(A_1171,s3)
| ~ incident(A_1171,s1) ),
inference(resolution,[status(thm)],[c_38,c_33218]) ).
tff(c_33268,plain,
s3 = s1,
inference(splitLeft,[status(thm)],[c_33238]) ).
tff(c_33271,plain,
incident(b3,s1),
inference(demodulation,[status(thm),theory(equality)],[c_33268,c_54]) ).
tff(c_33308,plain,
! [C_1174,A_1175] :
( ( s1 = C_1174 )
| ( b1 = A_1175 )
| ~ incident(b1,C_1174)
| ~ incident(A_1175,s1)
| ~ incident(A_1175,C_1174) ),
inference(resolution,[status(thm)],[c_50,c_31704]) ).
tff(c_33330,plain,
! [A_1175] :
( ( s1 = b3b1 )
| ( b1 = A_1175 )
| ~ incident(A_1175,s1)
| ~ incident(A_1175,b3b1) ),
inference(resolution,[status(thm)],[c_36,c_33308]) ).
tff(c_33503,plain,
s1 = b3b1,
inference(splitLeft,[status(thm)],[c_33330]) ).
tff(c_33510,plain,
~ incident(a2,b3b1),
inference(demodulation,[status(thm),theory(equality)],[c_33503,c_33241]) ).
tff(c_33521,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_18263,c_33510]) ).
tff(c_33663,plain,
! [A_1188] :
( ( b1 = A_1188 )
| ~ incident(A_1188,s1)
| ~ incident(A_1188,b3b1) ),
inference(splitRight,[status(thm)],[c_33330]) ).
tff(c_33669,plain,
( ( b3 = b1 )
| ~ incident(b3,b3b1) ),
inference(resolution,[status(thm)],[c_33271,c_33663]) ).
tff(c_33690,plain,
b3 = b1,
inference(demodulation,[status(thm),theory(equality)],[c_34,c_33669]) ).
tff(c_33692,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_117,c_33690]) ).
tff(c_33695,plain,
! [A_1189] :
( ( s = A_1189 )
| ~ incident(A_1189,s3)
| ~ incident(A_1189,s1) ),
inference(splitRight,[status(thm)],[c_33238]) ).
tff(c_33719,plain,
( ( s = b3 )
| ~ incident(b3,s1) ),
inference(resolution,[status(thm)],[c_54,c_33695]) ).
tff(c_33748,plain,
~ incident(b3,s1),
inference(splitLeft,[status(thm)],[c_33719]) ).
tff(c_33242,plain,
! [C_1172,A_1173] :
( ( b3b1 = C_1172 )
| ( a2 = A_1173 )
| ~ incident(a2,C_1172)
| ~ incident(A_1173,b3b1)
| ~ incident(A_1173,C_1172) ),
inference(resolution,[status(thm)],[c_18263,c_31704]) ).
tff(c_33266,plain,
! [A_1173] :
( ( b3b1 = a2a3 )
| ( a2 = A_1173 )
| ~ incident(A_1173,b3b1)
| ~ incident(A_1173,a2a3) ),
inference(resolution,[status(thm)],[c_18,c_33242]) ).
tff(c_35714,plain,
b3b1 = a2a3,
inference(splitLeft,[status(thm)],[c_33266]) ).
tff(c_35721,plain,
incident(b1,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_35714,c_36]) ).
tff(c_35727,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_136,c_35721]) ).
tff(c_35756,plain,
! [A_1261] :
( ( a2 = A_1261 )
| ~ incident(A_1261,b3b1)
| ~ incident(A_1261,a2a3) ),
inference(splitRight,[status(thm)],[c_33266]) ).
tff(c_35789,plain,
( ( b3 = a2 )
| ~ incident(b3,a2a3) ),
inference(resolution,[status(thm)],[c_34,c_35756]) ).
tff(c_35839,plain,
~ incident(b3,a2a3),
inference(splitLeft,[status(thm)],[c_35789]) ).
tff(c_18261,plain,
incident(p1,a1a2),
inference(splitRight,[status(thm)],[c_135]) ).
tff(c_33750,plain,
! [C_1192,A_1193] :
( ( a1a2 = C_1192 )
| ( b3 = A_1193 )
| ~ incident(b3,C_1192)
| ~ incident(A_1193,a1a2)
| ~ incident(A_1193,C_1192) ),
inference(resolution,[status(thm)],[c_359,c_31704]) ).
tff(c_33774,plain,
! [A_1193] :
( ( b2b3 = a1a2 )
| ( b3 = A_1193 )
| ~ incident(A_1193,a1a2)
| ~ incident(A_1193,b2b3) ),
inference(resolution,[status(thm)],[c_32,c_33750]) ).
tff(c_35840,plain,
b2b3 = a1a2,
inference(splitLeft,[status(thm)],[c_33774]) ).
tff(c_35842,plain,
~ incident(a1,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_35840,c_126]) ).
tff(c_35850,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_35842]) ).
tff(c_35853,plain,
! [A_1262] :
( ( b3 = A_1262 )
| ~ incident(A_1262,a1a2)
| ~ incident(A_1262,b2b3) ),
inference(splitRight,[status(thm)],[c_33774]) ).
tff(c_35864,plain,
( ( p1 = b3 )
| ~ incident(p1,a1a2) ),
inference(resolution,[status(thm)],[c_62,c_35853]) ).
tff(c_35879,plain,
p1 = b3,
inference(demodulation,[status(thm),theory(equality)],[c_18261,c_35864]) ).
tff(c_35895,plain,
incident(b3,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_35879,c_60]) ).
tff(c_35901,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_35839,c_35895]) ).
tff(c_35902,plain,
b3 = a2,
inference(splitRight,[status(thm)],[c_35789]) ).
tff(c_31832,plain,
! [A_1125] :
( ( s3 = s2 )
| ( s = A_1125 )
| ~ incident(A_1125,s2)
| ~ incident(A_1125,s3) ),
inference(resolution,[status(thm)],[c_42,c_31810]) ).
tff(c_33776,plain,
s3 = s2,
inference(splitLeft,[status(thm)],[c_31832]) ).
tff(c_33782,plain,
incident(a3,s2),
inference(demodulation,[status(thm),theory(equality)],[c_33776,c_48]) ).
tff(c_33781,plain,
incident(b3,s2),
inference(demodulation,[status(thm),theory(equality)],[c_33776,c_54]) ).
tff(c_18280,plain,
incident(a3,b1b2),
inference(splitLeft,[status(thm)],[c_12]) ).
tff(c_18394,plain,
! [D_656,C_657,B_658,A_659] :
( ( D_656 = C_657 )
| ( B_658 = A_659 )
| ~ incident(B_658,D_656)
| ~ incident(B_658,C_657)
| ~ incident(A_659,D_656)
| ~ incident(A_659,C_657) ),
inference(cnfTransformation,[status(thm)],[f_153]) ).
tff(c_20526,plain,
! [C_731,A_732] :
( ( a1a2 = C_731 )
| ( a2 = A_732 )
| ~ incident(a2,C_731)
| ~ incident(A_732,a1a2)
| ~ incident(A_732,C_731) ),
inference(resolution,[status(thm)],[c_16,c_18394]) ).
tff(c_20547,plain,
! [A_732] :
( ( b3b1 = a1a2 )
| ( a2 = A_732 )
| ~ incident(A_732,a1a2)
| ~ incident(A_732,b3b1) ),
inference(resolution,[status(thm)],[c_18263,c_20526]) ).
tff(c_21848,plain,
b3b1 = a1a2,
inference(splitLeft,[status(thm)],[c_20547]) ).
tff(c_21854,plain,
incident(p2,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_21848,c_66]) ).
tff(c_21861,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_18260,c_21854]) ).
tff(c_21982,plain,
! [A_783] :
( ( a2 = A_783 )
| ~ incident(A_783,a1a2)
| ~ incident(A_783,b3b1) ),
inference(splitRight,[status(thm)],[c_20547]) ).
tff(c_22002,plain,
( ( b3 = a2 )
| ~ incident(b3,a1a2) ),
inference(resolution,[status(thm)],[c_34,c_21982]) ).
tff(c_22017,plain,
b3 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_359,c_22002]) ).
tff(c_22026,plain,
b2 != a2,
inference(demodulation,[status(thm),theory(equality)],[c_22017,c_118]) ).
tff(c_22024,plain,
incident(a2,b2b3),
inference(demodulation,[status(thm),theory(equality)],[c_22017,c_32]) ).
tff(c_22027,plain,
b1 != a2,
inference(demodulation,[status(thm),theory(equality)],[c_22017,c_117]) ).
tff(c_21954,plain,
! [C_781,A_782] :
( ( b3b1 = C_781 )
| ( b3 = A_782 )
| ~ incident(b3,C_781)
| ~ incident(A_782,b3b1)
| ~ incident(A_782,C_781) ),
inference(resolution,[status(thm)],[c_34,c_18394]) ).
tff(c_21979,plain,
! [A_782] :
( ( b3b1 = b2b3 )
| ( b3 = A_782 )
| ~ incident(A_782,b3b1)
| ~ incident(A_782,b2b3) ),
inference(resolution,[status(thm)],[c_32,c_21954]) ).
tff(c_22118,plain,
! [A_782] :
( ( b3b1 = b2b3 )
| ( a2 = A_782 )
| ~ incident(A_782,b3b1)
| ~ incident(A_782,b2b3) ),
inference(demodulation,[status(thm),theory(equality)],[c_22017,c_21979]) ).
tff(c_22119,plain,
b3b1 = b2b3,
inference(splitLeft,[status(thm)],[c_22118]) ).
tff(c_22129,plain,
incident(b1,b2b3),
inference(demodulation,[status(thm),theory(equality)],[c_22119,c_36]) ).
tff(c_21862,plain,
! [A_732] :
( ( a2 = A_732 )
| ~ incident(A_732,a1a2)
| ~ incident(A_732,b3b1) ),
inference(splitRight,[status(thm)],[c_20547]) ).
tff(c_22217,plain,
! [A_790] :
( ( a2 = A_790 )
| ~ incident(A_790,a1a2)
| ~ incident(A_790,b2b3) ),
inference(demodulation,[status(thm),theory(equality)],[c_22119,c_21862]) ).
tff(c_22237,plain,
( ( p1 = a2 )
| ~ incident(p1,a1a2) ),
inference(resolution,[status(thm)],[c_62,c_22217]) ).
tff(c_22256,plain,
p1 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_18261,c_22237]) ).
tff(c_22264,plain,
~ incident(a2,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_22256,c_356]) ).
tff(c_22093,plain,
! [C_785,A_786] :
( ( b2b3 = C_785 )
| ( b2 = A_786 )
| ~ incident(b2,C_785)
| ~ incident(A_786,b2b3)
| ~ incident(A_786,C_785) ),
inference(resolution,[status(thm)],[c_30,c_18394]) ).
tff(c_22112,plain,
! [A_786] :
( ( b2b3 = b1b2 )
| ( b2 = A_786 )
| ~ incident(A_786,b2b3)
| ~ incident(A_786,b1b2) ),
inference(resolution,[status(thm)],[c_28,c_22093]) ).
tff(c_22420,plain,
b2b3 = b1b2,
inference(splitLeft,[status(thm)],[c_22112]) ).
tff(c_22432,plain,
incident(a2,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_22420,c_22024]) ).
tff(c_22439,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_22264,c_22432]) ).
tff(c_22469,plain,
! [A_798] :
( ( b2 = A_798 )
| ~ incident(A_798,b2b3)
| ~ incident(A_798,b1b2) ),
inference(splitRight,[status(thm)],[c_22112]) ).
tff(c_22475,plain,
( ( b2 = b1 )
| ~ incident(b1,b1b2) ),
inference(resolution,[status(thm)],[c_22129,c_22469]) ).
tff(c_22493,plain,
b2 = b1,
inference(demodulation,[status(thm),theory(equality)],[c_26,c_22475]) ).
tff(c_22495,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_119,c_22493]) ).
tff(c_22498,plain,
! [A_799] :
( ( a2 = A_799 )
| ~ incident(A_799,b3b1)
| ~ incident(A_799,b2b3) ),
inference(splitRight,[status(thm)],[c_22118]) ).
tff(c_22515,plain,
( ( b1 = a2 )
| ~ incident(b1,b2b3) ),
inference(resolution,[status(thm)],[c_36,c_22498]) ).
tff(c_22529,plain,
~ incident(b1,b2b3),
inference(negUnitSimplification,[status(thm)],[c_22027,c_22515]) ).
tff(c_22113,plain,
! [A_786] :
( ( s2 = b2b3 )
| ( b2 = A_786 )
| ~ incident(A_786,b2b3)
| ~ incident(A_786,s2) ),
inference(resolution,[status(thm)],[c_52,c_22093]) ).
tff(c_23002,plain,
s2 = b2b3,
inference(splitLeft,[status(thm)],[c_22113]) ).
tff(c_20331,plain,
! [C_722,A_723] :
( ( s3 = C_722 )
| ( s = A_723 )
| ~ incident(s,C_722)
| ~ incident(A_723,s3)
| ~ incident(A_723,C_722) ),
inference(resolution,[status(thm)],[c_42,c_18394]) ).
tff(c_20350,plain,
! [A_723] :
( ( s3 = s2 )
| ( s = A_723 )
| ~ incident(A_723,s3)
| ~ incident(A_723,s2) ),
inference(resolution,[status(thm)],[c_40,c_20331]) ).
tff(c_20412,plain,
s3 = s2,
inference(splitLeft,[status(thm)],[c_20350]) ).
tff(c_20416,plain,
incident(a3,s2),
inference(demodulation,[status(thm),theory(equality)],[c_20412,c_48]) ).
tff(c_20424,plain,
! [C_727,A_728] :
( ( s1 = C_727 )
| ( b1 = A_728 )
| ~ incident(b1,C_727)
| ~ incident(A_728,s1)
| ~ incident(A_728,C_727) ),
inference(resolution,[status(thm)],[c_50,c_18394]) ).
tff(c_20443,plain,
! [A_728] :
( ( s1 = b1b2 )
| ( b1 = A_728 )
| ~ incident(A_728,s1)
| ~ incident(A_728,b1b2) ),
inference(resolution,[status(thm)],[c_26,c_20424]) ).
tff(c_21088,plain,
s1 = b1b2,
inference(splitLeft,[status(thm)],[c_20443]) ).
tff(c_18500,plain,
! [C_660,A_661] :
( ( s2 = C_660 )
| ( s = A_661 )
| ~ incident(s,C_660)
| ~ incident(A_661,s2)
| ~ incident(A_661,C_660) ),
inference(resolution,[status(thm)],[c_40,c_18394]) ).
tff(c_18521,plain,
! [A_661] :
( ( s2 = s1 )
| ( s = A_661 )
| ~ incident(A_661,s2)
| ~ incident(A_661,s1) ),
inference(resolution,[status(thm)],[c_38,c_18500]) ).
tff(c_18523,plain,
s2 = s1,
inference(splitLeft,[status(thm)],[c_18521]) ).
tff(c_18553,plain,
incident(b2,s1),
inference(demodulation,[status(thm),theory(equality)],[c_18523,c_52]) ).
tff(c_20085,plain,
! [C_714,A_715] :
( ( s1 = C_714 )
| ( b1 = A_715 )
| ~ incident(b1,C_714)
| ~ incident(A_715,s1)
| ~ incident(A_715,C_714) ),
inference(resolution,[status(thm)],[c_50,c_18394]) ).
tff(c_20104,plain,
! [A_715] :
( ( s1 = b1b2 )
| ( b1 = A_715 )
| ~ incident(A_715,s1)
| ~ incident(A_715,b1b2) ),
inference(resolution,[status(thm)],[c_26,c_20085]) ).
tff(c_20151,plain,
s1 = b1b2,
inference(splitLeft,[status(thm)],[c_20104]) ).
tff(c_18554,plain,
incident(a2,s1),
inference(demodulation,[status(thm),theory(equality)],[c_18523,c_46]) ).
tff(c_18524,plain,
! [C_662,A_663] :
( ( a1a2 = C_662 )
| ( b3 = A_663 )
| ~ incident(b3,C_662)
| ~ incident(A_663,a1a2)
| ~ incident(A_663,C_662) ),
inference(resolution,[status(thm)],[c_359,c_18394]) ).
tff(c_18549,plain,
! [A_663] :
( ( b3b1 = a1a2 )
| ( b3 = A_663 )
| ~ incident(A_663,a1a2)
| ~ incident(A_663,b3b1) ),
inference(resolution,[status(thm)],[c_34,c_18524]) ).
tff(c_19208,plain,
b3b1 = a1a2,
inference(splitLeft,[status(thm)],[c_18549]) ).
tff(c_19235,plain,
incident(p2,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_19208,c_66]) ).
tff(c_19242,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_18260,c_19235]) ).
tff(c_19245,plain,
! [A_686] :
( ( b3 = A_686 )
| ~ incident(A_686,a1a2)
| ~ incident(A_686,b3b1) ),
inference(splitRight,[status(thm)],[c_18549]) ).
tff(c_19256,plain,
( ( b3 = a2 )
| ~ incident(a2,a1a2) ),
inference(resolution,[status(thm)],[c_18263,c_19245]) ).
tff(c_19274,plain,
b3 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_19256]) ).
tff(c_18522,plain,
! [A_661] :
( ( s3 = s2 )
| ( s = A_661 )
| ~ incident(A_661,s2)
| ~ incident(A_661,s3) ),
inference(resolution,[status(thm)],[c_42,c_18500]) ).
tff(c_18587,plain,
! [A_661] :
( ( s3 = s1 )
| ( s = A_661 )
| ~ incident(A_661,s1)
| ~ incident(A_661,s3) ),
inference(demodulation,[status(thm),theory(equality)],[c_18523,c_18523,c_18522]) ).
tff(c_18588,plain,
s3 = s1,
inference(splitLeft,[status(thm)],[c_18587]) ).
tff(c_18547,plain,
! [A_663] :
( ( s3 = a1a2 )
| ( b3 = A_663 )
| ~ incident(A_663,a1a2)
| ~ incident(A_663,s3) ),
inference(resolution,[status(thm)],[c_54,c_18524]) ).
tff(c_18645,plain,
! [A_663] :
( ( s1 = a1a2 )
| ( b3 = A_663 )
| ~ incident(A_663,a1a2)
| ~ incident(A_663,s1) ),
inference(demodulation,[status(thm),theory(equality)],[c_18588,c_18588,c_18547]) ).
tff(c_18646,plain,
s1 = a1a2,
inference(splitLeft,[status(thm)],[c_18645]) ).
tff(c_18683,plain,
incident(b1,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_18646,c_50]) ).
tff(c_18676,plain,
s3 = a1a2,
inference(demodulation,[status(thm),theory(equality)],[c_18646,c_18588]) ).
tff(c_18485,plain,
! [C_657,A_659] :
( ( s3 = C_657 )
| ( a3 = A_659 )
| ~ incident(a3,C_657)
| ~ incident(A_659,s3)
| ~ incident(A_659,C_657) ),
inference(resolution,[status(thm)],[c_48,c_18394]) ).
tff(c_18938,plain,
! [C_674,A_675] :
( ( a1a2 = C_674 )
| ( a3 = A_675 )
| ~ incident(a3,C_674)
| ~ incident(A_675,a1a2)
| ~ incident(A_675,C_674) ),
inference(demodulation,[status(thm),theory(equality)],[c_18676,c_18676,c_18485]) ).
tff(c_18948,plain,
! [A_675] :
( ( b1b2 = a1a2 )
| ( a3 = A_675 )
| ~ incident(A_675,a1a2)
| ~ incident(A_675,b1b2) ),
inference(resolution,[status(thm)],[c_18280,c_18938]) ).
tff(c_18993,plain,
! [A_677] :
( ( a3 = A_677 )
| ~ incident(A_677,a1a2)
| ~ incident(A_677,b1b2) ),
inference(negUnitSimplification,[status(thm)],[c_116,c_18948]) ).
tff(c_19010,plain,
( ( b1 = a3 )
| ~ incident(b1,a1a2) ),
inference(resolution,[status(thm)],[c_26,c_18993]) ).
tff(c_19029,plain,
b1 = a3,
inference(demodulation,[status(thm),theory(equality)],[c_18683,c_19010]) ).
tff(c_19047,plain,
~ incident(a3,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_19029,c_136]) ).
tff(c_19056,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_20,c_19047]) ).
tff(c_19059,plain,
! [A_678] :
( ( b3 = A_678 )
| ~ incident(A_678,a1a2)
| ~ incident(A_678,s1) ),
inference(splitRight,[status(thm)],[c_18645]) ).
tff(c_19085,plain,
( ( b3 = a1 )
| ~ incident(a1,a1a2) ),
inference(resolution,[status(thm)],[c_44,c_19059]) ).
tff(c_19109,plain,
b3 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_19085]) ).
tff(c_19118,plain,
incident(a1,b2b3),
inference(demodulation,[status(thm),theory(equality)],[c_19109,c_32]) ).
tff(c_19126,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_126,c_19118]) ).
tff(c_19149,plain,
! [A_681] :
( ( s = A_681 )
| ~ incident(A_681,s1)
| ~ incident(A_681,s3) ),
inference(splitRight,[status(thm)],[c_18587]) ).
tff(c_19173,plain,
( ( s = b3 )
| ~ incident(b3,s1) ),
inference(resolution,[status(thm)],[c_54,c_19149]) ).
tff(c_19179,plain,
~ incident(b3,s1),
inference(splitLeft,[status(thm)],[c_19173]) ).
tff(c_19284,plain,
~ incident(a2,s1),
inference(demodulation,[status(thm),theory(equality)],[c_19274,c_19179]) ).
tff(c_19295,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_18554,c_19284]) ).
tff(c_19296,plain,
s = b3,
inference(splitRight,[status(thm)],[c_19173]) ).
tff(c_19174,plain,
( ( s = a3 )
| ~ incident(a3,s1) ),
inference(resolution,[status(thm)],[c_48,c_19149]) ).
tff(c_19326,plain,
( ( b3 = a3 )
| ~ incident(a3,s1) ),
inference(demodulation,[status(thm),theory(equality)],[c_19296,c_19174]) ).
tff(c_19327,plain,
~ incident(a3,s1),
inference(splitLeft,[status(thm)],[c_19326]) ).
tff(c_20155,plain,
~ incident(a3,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_20151,c_19327]) ).
tff(c_20164,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_18280,c_20155]) ).
tff(c_20167,plain,
! [A_718] :
( ( b1 = A_718 )
| ~ incident(A_718,s1)
| ~ incident(A_718,b1b2) ),
inference(splitRight,[status(thm)],[c_20104]) ).
tff(c_20173,plain,
( ( b2 = b1 )
| ~ incident(b2,b1b2) ),
inference(resolution,[status(thm)],[c_18553,c_20167]) ).
tff(c_20192,plain,
b2 = b1,
inference(demodulation,[status(thm),theory(equality)],[c_28,c_20173]) ).
tff(c_20194,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_119,c_20192]) ).
tff(c_20195,plain,
b3 = a3,
inference(splitRight,[status(thm)],[c_19326]) ).
tff(c_20200,plain,
incident(a3,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_20195,c_359]) ).
tff(c_20204,plain,
incident(a3,b3b1),
inference(demodulation,[status(thm),theory(equality)],[c_20195,c_34]) ).
tff(c_20213,plain,
! [C_719,A_720] :
( ( b3b1 = C_719 )
| ( p2 = A_720 )
| ~ incident(p2,C_719)
| ~ incident(A_720,b3b1)
| ~ incident(A_720,C_719) ),
inference(resolution,[status(thm)],[c_66,c_18394]) ).
tff(c_20221,plain,
! [A_720] :
( ( b3b1 = a3a1 )
| ( p2 = A_720 )
| ~ incident(A_720,b3b1)
| ~ incident(A_720,a3a1) ),
inference(resolution,[status(thm)],[c_64,c_20213]) ).
tff(c_20232,plain,
! [A_720] :
( ( p2 = A_720 )
| ~ incident(A_720,b3b1)
| ~ incident(A_720,a3a1) ),
inference(negUnitSimplification,[status(thm)],[c_114,c_20221]) ).
tff(c_20298,plain,
( ( p2 = a3 )
| ~ incident(a3,a3a1) ),
inference(resolution,[status(thm)],[c_20204,c_20232]) ).
tff(c_20309,plain,
p2 = a3,
inference(demodulation,[status(thm),theory(equality)],[c_22,c_20298]) ).
tff(c_20321,plain,
~ incident(a3,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_20309,c_18260]) ).
tff(c_20328,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_20200,c_20321]) ).
tff(c_20329,plain,
! [A_661] :
( ( s = A_661 )
| ~ incident(A_661,s2)
| ~ incident(A_661,s1) ),
inference(splitRight,[status(thm)],[c_18521]) ).
tff(c_20475,plain,
( ( s = a3 )
| ~ incident(a3,s1) ),
inference(resolution,[status(thm)],[c_20416,c_20329]) ).
tff(c_20508,plain,
~ incident(a3,s1),
inference(splitLeft,[status(thm)],[c_20475]) ).
tff(c_21092,plain,
~ incident(a3,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_21088,c_20508]) ).
tff(c_21104,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_18280,c_21092]) ).
tff(c_21122,plain,
! [A_753] :
( ( b1 = A_753 )
| ~ incident(A_753,s1)
| ~ incident(A_753,b1b2) ),
inference(splitRight,[status(thm)],[c_20443]) ).
tff(c_21146,plain,
( ( s = b1 )
| ~ incident(s,b1b2) ),
inference(resolution,[status(thm)],[c_38,c_21122]) ).
tff(c_21152,plain,
~ incident(s,b1b2),
inference(splitLeft,[status(thm)],[c_21146]) ).
tff(c_21619,plain,
! [C_771,A_772] :
( ( b1b2 = C_771 )
| ( b2 = A_772 )
| ~ incident(b2,C_771)
| ~ incident(A_772,b1b2)
| ~ incident(A_772,C_771) ),
inference(resolution,[status(thm)],[c_28,c_18394]) ).
tff(c_21640,plain,
! [A_772] :
( ( s2 = b1b2 )
| ( b2 = A_772 )
| ~ incident(A_772,b1b2)
| ~ incident(A_772,s2) ),
inference(resolution,[status(thm)],[c_52,c_21619]) ).
tff(c_21729,plain,
s2 = b1b2,
inference(splitLeft,[status(thm)],[c_21640]) ).
tff(c_21741,plain,
incident(s,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_21729,c_40]) ).
tff(c_21747,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_21152,c_21741]) ).
tff(c_21782,plain,
! [A_777] :
( ( b2 = A_777 )
| ~ incident(A_777,b1b2)
| ~ incident(A_777,s2) ),
inference(splitRight,[status(thm)],[c_21640]) ).
tff(c_21785,plain,
( ( b2 = a3 )
| ~ incident(a3,b1b2) ),
inference(resolution,[status(thm)],[c_20416,c_21782]) ).
tff(c_21805,plain,
b2 = a3,
inference(demodulation,[status(thm),theory(equality)],[c_18280,c_21785]) ).
tff(c_20583,plain,
b3b1 = a1a2,
inference(splitLeft,[status(thm)],[c_20547]) ).
tff(c_20589,plain,
incident(p2,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_20583,c_66]) ).
tff(c_20596,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_18260,c_20589]) ).
tff(c_20659,plain,
! [A_737] :
( ( a2 = A_737 )
| ~ incident(A_737,a1a2)
| ~ incident(A_737,b3b1) ),
inference(splitRight,[status(thm)],[c_20547]) ).
tff(c_20679,plain,
( ( b3 = a2 )
| ~ incident(b3,a1a2) ),
inference(resolution,[status(thm)],[c_34,c_20659]) ).
tff(c_20694,plain,
b3 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_359,c_20679]) ).
tff(c_20702,plain,
b2 != a2,
inference(demodulation,[status(thm),theory(equality)],[c_20694,c_118]) ).
tff(c_20700,plain,
incident(a2,b2b3),
inference(demodulation,[status(thm),theory(equality)],[c_20694,c_32]) ).
tff(c_20907,plain,
! [C_745,A_746] :
( ( b2b3 = C_745 )
| ( p1 = A_746 )
| ~ incident(p1,C_745)
| ~ incident(A_746,b2b3)
| ~ incident(A_746,C_745) ),
inference(resolution,[status(thm)],[c_62,c_18394]) ).
tff(c_20917,plain,
! [A_746] :
( ( b2b3 = a2a3 )
| ( p1 = A_746 )
| ~ incident(A_746,b2b3)
| ~ incident(A_746,a2a3) ),
inference(resolution,[status(thm)],[c_60,c_20907]) ).
tff(c_20932,plain,
! [A_747] :
( ( p1 = A_747 )
| ~ incident(A_747,b2b3)
| ~ incident(A_747,a2a3) ),
inference(negUnitSimplification,[status(thm)],[c_115,c_20917]) ).
tff(c_20935,plain,
( ( p1 = a2 )
| ~ incident(a2,a2a3) ),
inference(resolution,[status(thm)],[c_20700,c_20932]) ).
tff(c_20952,plain,
p1 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_18,c_20935]) ).
tff(c_20963,plain,
( ( p1 = b2 )
| ~ incident(b2,a2a3) ),
inference(resolution,[status(thm)],[c_30,c_20932]) ).
tff(c_21009,plain,
( ( b2 = a2 )
| ~ incident(b2,a2a3) ),
inference(demodulation,[status(thm),theory(equality)],[c_20952,c_20963]) ).
tff(c_21010,plain,
~ incident(b2,a2a3),
inference(negUnitSimplification,[status(thm)],[c_20702,c_21009]) ).
tff(c_21822,plain,
~ incident(a3,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_21805,c_21010]) ).
tff(c_21833,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_20,c_21822]) ).
tff(c_21834,plain,
s = b1,
inference(splitRight,[status(thm)],[c_21146]) ).
tff(c_20446,plain,
! [A_728] :
( ( s1 = b3b1 )
| ( b1 = A_728 )
| ~ incident(A_728,s1)
| ~ incident(A_728,b3b1) ),
inference(resolution,[status(thm)],[c_36,c_20424]) ).
tff(c_20509,plain,
s1 = b3b1,
inference(splitLeft,[status(thm)],[c_20446]) ).
tff(c_20415,plain,
incident(b3,s2),
inference(demodulation,[status(thm),theory(equality)],[c_20412,c_54]) ).
tff(c_20458,plain,
( ( s = b3 )
| ~ incident(b3,s1) ),
inference(resolution,[status(thm)],[c_20415,c_20329]) ).
tff(c_20481,plain,
~ incident(b3,s1),
inference(splitLeft,[status(thm)],[c_20458]) ).
tff(c_20511,plain,
~ incident(b3,b3b1),
inference(demodulation,[status(thm),theory(equality)],[c_20509,c_20481]) ).
tff(c_20523,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_34,c_20511]) ).
tff(c_20552,plain,
! [A_733] :
( ( b1 = A_733 )
| ~ incident(A_733,s1)
| ~ incident(A_733,b3b1) ),
inference(splitRight,[status(thm)],[c_20446]) ).
tff(c_20576,plain,
( ( s = b1 )
| ~ incident(s,b3b1) ),
inference(resolution,[status(thm)],[c_38,c_20552]) ).
tff(c_20582,plain,
~ incident(s,b3b1),
inference(splitLeft,[status(thm)],[c_20576]) ).
tff(c_21837,plain,
~ incident(b1,b3b1),
inference(demodulation,[status(thm),theory(equality)],[c_21834,c_20582]) ).
tff(c_21845,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_36,c_21837]) ).
tff(c_21846,plain,
s = b1,
inference(splitRight,[status(thm)],[c_20576]) ).
tff(c_21867,plain,
incident(b1,s2),
inference(demodulation,[status(thm),theory(equality)],[c_21846,c_40]) ).
tff(c_23007,plain,
incident(b1,b2b3),
inference(demodulation,[status(thm),theory(equality)],[c_23002,c_21867]) ).
tff(c_23015,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_22529,c_23007]) ).
tff(c_23018,plain,
! [A_817] :
( ( b2 = A_817 )
| ~ incident(A_817,b2b3)
| ~ incident(A_817,s2) ),
inference(splitRight,[status(thm)],[c_22113]) ).
tff(c_23038,plain,
( ( b2 = a2 )
| ~ incident(a2,b2b3) ),
inference(resolution,[status(thm)],[c_46,c_23018]) ).
tff(c_23054,plain,
b2 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_22024,c_23038]) ).
tff(c_23056,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_22026,c_23054]) ).
tff(c_23058,plain,
incident(a3,s1),
inference(splitRight,[status(thm)],[c_20475]) ).
tff(c_24792,plain,
s1 = b1b2,
inference(splitLeft,[status(thm)],[c_20443]) ).
tff(c_20354,plain,
! [A_724] :
( ( s = A_724 )
| ~ incident(A_724,s2)
| ~ incident(A_724,s1) ),
inference(splitRight,[status(thm)],[c_18521]) ).
tff(c_20382,plain,
( ( s = b2 )
| ~ incident(b2,s1) ),
inference(resolution,[status(thm)],[c_52,c_20354]) ).
tff(c_20384,plain,
~ incident(b2,s1),
inference(splitLeft,[status(thm)],[c_20382]) ).
tff(c_24799,plain,
~ incident(b2,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_24792,c_20384]) ).
tff(c_24807,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_28,c_24799]) ).
tff(c_24810,plain,
! [A_872] :
( ( b1 = A_872 )
| ~ incident(A_872,s1)
| ~ incident(A_872,b1b2) ),
inference(splitRight,[status(thm)],[c_20443]) ).
tff(c_24813,plain,
( ( b1 = a3 )
| ~ incident(a3,b1b2) ),
inference(resolution,[status(thm)],[c_23058,c_24810]) ).
tff(c_24830,plain,
b1 = a3,
inference(demodulation,[status(thm),theory(equality)],[c_18280,c_24813]) ).
tff(c_24854,plain,
~ incident(a3,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_24830,c_136]) ).
tff(c_24863,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_20,c_24854]) ).
tff(c_24865,plain,
incident(b3,s1),
inference(splitRight,[status(thm)],[c_20458]) ).
tff(c_25067,plain,
s1 = b3b1,
inference(splitLeft,[status(thm)],[c_20446]) ).
tff(c_20383,plain,
( ( s = a2 )
| ~ incident(a2,s1) ),
inference(resolution,[status(thm)],[c_46,c_20354]) ).
tff(c_20411,plain,
~ incident(a2,s1),
inference(splitLeft,[status(thm)],[c_20383]) ).
tff(c_25072,plain,
~ incident(a2,b3b1),
inference(demodulation,[status(thm),theory(equality)],[c_25067,c_20411]) ).
tff(c_25081,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_18263,c_25072]) ).
tff(c_25099,plain,
! [A_882] :
( ( b1 = A_882 )
| ~ incident(A_882,s1)
| ~ incident(A_882,b3b1) ),
inference(splitRight,[status(thm)],[c_20446]) ).
tff(c_25102,plain,
( ( b3 = b1 )
| ~ incident(b3,b3b1) ),
inference(resolution,[status(thm)],[c_24865,c_25099]) ).
tff(c_25119,plain,
b3 = b1,
inference(demodulation,[status(thm),theory(equality)],[c_34,c_25102]) ).
tff(c_25121,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_117,c_25119]) ).
tff(c_25124,plain,
! [A_883] :
( ( s = A_883 )
| ~ incident(A_883,s3)
| ~ incident(A_883,s2) ),
inference(splitRight,[status(thm)],[c_20350]) ).
tff(c_25148,plain,
( ( s = b3 )
| ~ incident(b3,s2) ),
inference(resolution,[status(thm)],[c_54,c_25124]) ).
tff(c_25177,plain,
~ incident(b3,s2),
inference(splitLeft,[status(thm)],[c_25148]) ).
tff(c_27014,plain,
! [C_951,A_952] :
( ( b2b3 = C_951 )
| ( p1 = A_952 )
| ~ incident(p1,C_951)
| ~ incident(A_952,b2b3)
| ~ incident(A_952,C_951) ),
inference(resolution,[status(thm)],[c_62,c_18394]) ).
tff(c_27033,plain,
! [A_952] :
( ( b2b3 = a1a2 )
| ( p1 = A_952 )
| ~ incident(A_952,b2b3)
| ~ incident(A_952,a1a2) ),
inference(resolution,[status(thm)],[c_18261,c_27014]) ).
tff(c_27176,plain,
b2b3 = a1a2,
inference(splitLeft,[status(thm)],[c_27033]) ).
tff(c_27184,plain,
~ incident(a1,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_27176,c_126]) ).
tff(c_27192,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_27184]) ).
tff(c_27196,plain,
! [A_958] :
( ( p1 = A_958 )
| ~ incident(A_958,b2b3)
| ~ incident(A_958,a1a2) ),
inference(splitRight,[status(thm)],[c_27033]) ).
tff(c_27210,plain,
( ( p1 = b3 )
| ~ incident(b3,a1a2) ),
inference(resolution,[status(thm)],[c_32,c_27196]) ).
tff(c_27226,plain,
p1 = b3,
inference(demodulation,[status(thm),theory(equality)],[c_359,c_27210]) ).
tff(c_26513,plain,
! [C_937,A_938] :
( ( a1a2 = C_937 )
| ( a2 = A_938 )
| ~ incident(a2,C_937)
| ~ incident(A_938,a1a2)
| ~ incident(A_938,C_937) ),
inference(resolution,[status(thm)],[c_16,c_18394]) ).
tff(c_26534,plain,
! [A_938] :
( ( b3b1 = a1a2 )
| ( a2 = A_938 )
| ~ incident(A_938,a1a2)
| ~ incident(A_938,b3b1) ),
inference(resolution,[status(thm)],[c_18263,c_26513]) ).
tff(c_26562,plain,
b3b1 = a1a2,
inference(splitLeft,[status(thm)],[c_26534]) ).
tff(c_25154,plain,
! [C_884,A_885] :
( ( s1 = C_884 )
| ( b1 = A_885 )
| ~ incident(b1,C_884)
| ~ incident(A_885,s1)
| ~ incident(A_885,C_884) ),
inference(resolution,[status(thm)],[c_50,c_18394]) ).
tff(c_25176,plain,
! [A_885] :
( ( s1 = b3b1 )
| ( b1 = A_885 )
| ~ incident(A_885,s1)
| ~ incident(A_885,b3b1) ),
inference(resolution,[status(thm)],[c_36,c_25154]) ).
tff(c_25697,plain,
s1 = b3b1,
inference(splitLeft,[status(thm)],[c_25176]) ).
tff(c_20351,plain,
! [A_723] :
( ( s3 = s1 )
| ( s = A_723 )
| ~ incident(A_723,s3)
| ~ incident(A_723,s1) ),
inference(resolution,[status(thm)],[c_38,c_20331]) ).
tff(c_25205,plain,
s3 = s1,
inference(splitLeft,[status(thm)],[c_20351]) ).
tff(c_25211,plain,
incident(a3,s1),
inference(demodulation,[status(thm),theory(equality)],[c_25205,c_48]) ).
tff(c_25173,plain,
! [A_885] :
( ( s1 = b1b2 )
| ( b1 = A_885 )
| ~ incident(A_885,s1)
| ~ incident(A_885,b1b2) ),
inference(resolution,[status(thm)],[c_26,c_25154]) ).
tff(c_25274,plain,
s1 = b1b2,
inference(splitLeft,[status(thm)],[c_25173]) ).
tff(c_25280,plain,
~ incident(b2,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_25274,c_20384]) ).
tff(c_25290,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_28,c_25280]) ).
tff(c_25309,plain,
! [A_890] :
( ( b1 = A_890 )
| ~ incident(A_890,s1)
| ~ incident(A_890,b1b2) ),
inference(splitRight,[status(thm)],[c_25173]) ).
tff(c_25312,plain,
( ( b1 = a3 )
| ~ incident(a3,b1b2) ),
inference(resolution,[status(thm)],[c_25211,c_25309]) ).
tff(c_25335,plain,
b1 = a3,
inference(demodulation,[status(thm),theory(equality)],[c_18280,c_25312]) ).
tff(c_25354,plain,
~ incident(a3,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_25335,c_136]) ).
tff(c_25363,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_20,c_25354]) ).
tff(c_25392,plain,
! [A_893] :
( ( s = A_893 )
| ~ incident(A_893,s3)
| ~ incident(A_893,s1) ),
inference(splitRight,[status(thm)],[c_20351]) ).
tff(c_25416,plain,
( ( s = b3 )
| ~ incident(b3,s1) ),
inference(resolution,[status(thm)],[c_54,c_25392]) ).
tff(c_25422,plain,
~ incident(b3,s1),
inference(splitLeft,[status(thm)],[c_25416]) ).
tff(c_25701,plain,
~ incident(b3,b3b1),
inference(demodulation,[status(thm),theory(equality)],[c_25697,c_25422]) ).
tff(c_25715,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_34,c_25701]) ).
tff(c_25750,plain,
! [A_908] :
( ( b1 = A_908 )
| ~ incident(A_908,s1)
| ~ incident(A_908,b3b1) ),
inference(splitRight,[status(thm)],[c_25176]) ).
tff(c_25775,plain,
( ( b1 = a1 )
| ~ incident(a1,b3b1) ),
inference(resolution,[status(thm)],[c_44,c_25750]) ).
tff(c_25780,plain,
~ incident(a1,b3b1),
inference(splitLeft,[status(thm)],[c_25775]) ).
tff(c_26573,plain,
~ incident(a1,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_26562,c_25780]) ).
tff(c_26591,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_26573]) ).
tff(c_26845,plain,
! [A_947] :
( ( a2 = A_947 )
| ~ incident(A_947,a1a2)
| ~ incident(A_947,b3b1) ),
inference(splitRight,[status(thm)],[c_26534]) ).
tff(c_26865,plain,
( ( b3 = a2 )
| ~ incident(b3,a1a2) ),
inference(resolution,[status(thm)],[c_34,c_26845]) ).
tff(c_26880,plain,
b3 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_359,c_26865]) ).
tff(c_26894,plain,
~ incident(a2,s2),
inference(demodulation,[status(thm),theory(equality)],[c_26880,c_25177]) ).
tff(c_26905,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_46,c_26894]) ).
tff(c_26906,plain,
b1 = a1,
inference(splitRight,[status(thm)],[c_25775]) ).
tff(c_25614,plain,
! [C_902,A_903] :
( ( a1a2 = C_902 )
| ( p3 = A_903 )
| ~ incident(p3,C_902)
| ~ incident(A_903,a1a2)
| ~ incident(A_903,C_902) ),
inference(resolution,[status(thm)],[c_56,c_18394]) ).
tff(c_25624,plain,
! [A_903] :
( ( b1b2 = a1a2 )
| ( p3 = A_903 )
| ~ incident(A_903,a1a2)
| ~ incident(A_903,b1b2) ),
inference(resolution,[status(thm)],[c_58,c_25614]) ).
tff(c_25637,plain,
! [A_904] :
( ( p3 = A_904 )
| ~ incident(A_904,a1a2)
| ~ incident(A_904,b1b2) ),
inference(negUnitSimplification,[status(thm)],[c_116,c_25624]) ).
tff(c_25669,plain,
( ( p3 = b1 )
| ~ incident(b1,a1a2) ),
inference(resolution,[status(thm)],[c_26,c_25637]) ).
tff(c_25671,plain,
~ incident(b1,a1a2),
inference(splitLeft,[status(thm)],[c_25669]) ).
tff(c_26910,plain,
~ incident(a1,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_26906,c_25671]) ).
tff(c_26923,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_26910]) ).
tff(c_26924,plain,
p3 = b1,
inference(splitRight,[status(thm)],[c_25669]) ).
tff(c_26987,plain,
! [A_950] :
( ~ incident(p2,A_950)
| ~ incident(p1,A_950)
| ~ incident(b1,A_950) ),
inference(demodulation,[status(thm),theory(equality)],[c_26924,c_125]) ).
tff(c_27001,plain,
( ~ incident(p1,b3b1)
| ~ incident(b1,b3b1) ),
inference(resolution,[status(thm)],[c_66,c_26987]) ).
tff(c_27011,plain,
~ incident(p1,b3b1),
inference(demodulation,[status(thm),theory(equality)],[c_36,c_27001]) ).
tff(c_27256,plain,
~ incident(b3,b3b1),
inference(demodulation,[status(thm),theory(equality)],[c_27226,c_27011]) ).
tff(c_27265,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_34,c_27256]) ).
tff(c_27266,plain,
s = b3,
inference(splitRight,[status(thm)],[c_25416]) ).
tff(c_27274,plain,
incident(b3,s2),
inference(demodulation,[status(thm),theory(equality)],[c_27266,c_40]) ).
tff(c_27279,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_25177,c_27274]) ).
tff(c_27280,plain,
s = b3,
inference(splitRight,[status(thm)],[c_25148]) ).
tff(c_27288,plain,
incident(b3,s1),
inference(demodulation,[status(thm),theory(equality)],[c_27280,c_38]) ).
tff(c_27534,plain,
s1 = b3b1,
inference(splitLeft,[status(thm)],[c_25176]) ).
tff(c_27540,plain,
~ incident(a2,b3b1),
inference(demodulation,[status(thm),theory(equality)],[c_27534,c_20411]) ).
tff(c_27549,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_18263,c_27540]) ).
tff(c_27575,plain,
! [A_974] :
( ( b1 = A_974 )
| ~ incident(A_974,s1)
| ~ incident(A_974,b3b1) ),
inference(splitRight,[status(thm)],[c_25176]) ).
tff(c_27578,plain,
( ( b3 = b1 )
| ~ incident(b3,b3b1) ),
inference(resolution,[status(thm)],[c_27288,c_27575]) ).
tff(c_27595,plain,
b3 = b1,
inference(demodulation,[status(thm),theory(equality)],[c_34,c_27578]) ).
tff(c_27597,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_117,c_27595]) ).
tff(c_27599,plain,
incident(a2,s1),
inference(splitRight,[status(thm)],[c_20383]) ).
tff(c_27630,plain,
! [C_975,A_976] :
( ( s1 = C_975 )
| ( b1 = A_976 )
| ~ incident(b1,C_975)
| ~ incident(A_976,s1)
| ~ incident(A_976,C_975) ),
inference(resolution,[status(thm)],[c_50,c_18394]) ).
tff(c_27652,plain,
! [A_976] :
( ( s1 = b3b1 )
| ( b1 = A_976 )
| ~ incident(A_976,s1)
| ~ incident(A_976,b3b1) ),
inference(resolution,[status(thm)],[c_36,c_27630]) ).
tff(c_28954,plain,
s1 = b3b1,
inference(splitLeft,[status(thm)],[c_27652]) ).
tff(c_27598,plain,
s = a2,
inference(splitRight,[status(thm)],[c_20383]) ).
tff(c_28797,plain,
! [A_723] :
( ( s3 = s1 )
| ( a2 = A_723 )
| ~ incident(A_723,s3)
| ~ incident(A_723,s1) ),
inference(demodulation,[status(thm),theory(equality)],[c_27598,c_20351]) ).
tff(c_28798,plain,
s3 = s1,
inference(splitLeft,[status(thm)],[c_28797]) ).
tff(c_28827,plain,
incident(a3,s1),
inference(demodulation,[status(thm),theory(equality)],[c_28798,c_48]) ).
tff(c_28544,plain,
! [C_1007,A_1008] :
( ( s1 = C_1007 )
| ( a1 = A_1008 )
| ~ incident(a1,C_1007)
| ~ incident(A_1008,s1)
| ~ incident(A_1008,C_1007) ),
inference(resolution,[status(thm)],[c_44,c_18394]) ).
tff(c_28566,plain,
! [A_1008] :
( ( s1 = a3a1 )
| ( a1 = A_1008 )
| ~ incident(A_1008,s1)
| ~ incident(A_1008,a3a1) ),
inference(resolution,[status(thm)],[c_24,c_28544]) ).
tff(c_28594,plain,
s1 = a3a1,
inference(splitLeft,[status(thm)],[c_28566]) ).
tff(c_28598,plain,
incident(a2,a3a1),
inference(demodulation,[status(thm),theory(equality)],[c_28594,c_27599]) ).
tff(c_28603,plain,
incident(b1,a3a1),
inference(demodulation,[status(thm),theory(equality)],[c_28594,c_50]) ).
tff(c_28623,plain,
! [C_1011,A_1012] :
( ( b3b1 = C_1011 )
| ( b1 = A_1012 )
| ~ incident(b1,C_1011)
| ~ incident(A_1012,b3b1)
| ~ incident(A_1012,C_1011) ),
inference(resolution,[status(thm)],[c_36,c_18394]) ).
tff(c_28625,plain,
! [A_1012] :
( ( b3b1 = a3a1 )
| ( b1 = A_1012 )
| ~ incident(A_1012,b3b1)
| ~ incident(A_1012,a3a1) ),
inference(resolution,[status(thm)],[c_28603,c_28623]) ).
tff(c_28666,plain,
! [A_1013] :
( ( b1 = A_1013 )
| ~ incident(A_1013,b3b1)
| ~ incident(A_1013,a3a1) ),
inference(negUnitSimplification,[status(thm)],[c_114,c_28625]) ).
tff(c_28677,plain,
( ( b1 = a2 )
| ~ incident(a2,a3a1) ),
inference(resolution,[status(thm)],[c_18263,c_28666]) ).
tff(c_28695,plain,
b1 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_28598,c_28677]) ).
tff(c_28727,plain,
~ incident(a2,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_28695,c_136]) ).
tff(c_28736,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_18,c_28727]) ).
tff(c_28737,plain,
! [A_1008] :
( ( a1 = A_1008 )
| ~ incident(A_1008,s1)
| ~ incident(A_1008,a3a1) ),
inference(splitRight,[status(thm)],[c_28566]) ).
tff(c_28856,plain,
( ( a3 = a1 )
| ~ incident(a3,a3a1) ),
inference(resolution,[status(thm)],[c_28827,c_28737]) ).
tff(c_28867,plain,
a3 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_22,c_28856]) ).
tff(c_28869,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_120,c_28867]) ).
tff(c_28872,plain,
! [A_1019] :
( ( a2 = A_1019 )
| ~ incident(A_1019,s3)
| ~ incident(A_1019,s1) ),
inference(splitRight,[status(thm)],[c_28797]) ).
tff(c_28900,plain,
( ( b3 = a2 )
| ~ incident(b3,s1) ),
inference(resolution,[status(thm)],[c_54,c_28872]) ).
tff(c_28930,plain,
~ incident(b3,s1),
inference(splitLeft,[status(thm)],[c_28900]) ).
tff(c_28955,plain,
~ incident(b3,b3b1),
inference(demodulation,[status(thm),theory(equality)],[c_28954,c_28930]) ).
tff(c_28972,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_34,c_28955]) ).
tff(c_28975,plain,
! [A_1024] :
( ( b1 = A_1024 )
| ~ incident(A_1024,s1)
| ~ incident(A_1024,b3b1) ),
inference(splitRight,[status(thm)],[c_27652]) ).
tff(c_28978,plain,
( ( b1 = a2 )
| ~ incident(a2,b3b1) ),
inference(resolution,[status(thm)],[c_27599,c_28975]) ).
tff(c_28995,plain,
b1 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_18263,c_28978]) ).
tff(c_29011,plain,
~ incident(a2,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_28995,c_136]) ).
tff(c_29020,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_18,c_29011]) ).
tff(c_29021,plain,
b3 = a2,
inference(splitRight,[status(thm)],[c_28900]) ).
tff(c_28211,plain,
s1 = b3b1,
inference(splitLeft,[status(thm)],[c_27652]) ).
tff(c_27695,plain,
! [A_723] :
( ( s3 = s2 )
| ( a2 = A_723 )
| ~ incident(A_723,s3)
| ~ incident(A_723,s2) ),
inference(demodulation,[status(thm),theory(equality)],[c_27598,c_20350]) ).
tff(c_27696,plain,
s3 = s2,
inference(splitLeft,[status(thm)],[c_27695]) ).
tff(c_27725,plain,
incident(b3,s2),
inference(demodulation,[status(thm),theory(equality)],[c_27696,c_54]) ).
tff(c_27600,plain,
! [A_661] :
( ( a2 = A_661 )
| ~ incident(A_661,s2)
| ~ incident(A_661,s1) ),
inference(demodulation,[status(thm),theory(equality)],[c_27598,c_20329]) ).
tff(c_27747,plain,
( ( b3 = a2 )
| ~ incident(b3,s1) ),
inference(resolution,[status(thm)],[c_27725,c_27600]) ).
tff(c_27772,plain,
~ incident(b3,s1),
inference(splitLeft,[status(thm)],[c_27747]) ).
tff(c_28239,plain,
~ incident(b3,b3b1),
inference(demodulation,[status(thm),theory(equality)],[c_28211,c_27772]) ).
tff(c_28251,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_34,c_28239]) ).
tff(c_28254,plain,
! [A_999] :
( ( b1 = A_999 )
| ~ incident(A_999,s1)
| ~ incident(A_999,b3b1) ),
inference(splitRight,[status(thm)],[c_27652]) ).
tff(c_28257,plain,
( ( b1 = a2 )
| ~ incident(a2,b3b1) ),
inference(resolution,[status(thm)],[c_27599,c_28254]) ).
tff(c_28274,plain,
b1 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_18263,c_28257]) ).
tff(c_28312,plain,
~ incident(a2,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_28274,c_136]) ).
tff(c_28322,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_18,c_28312]) ).
tff(c_28323,plain,
b3 = a2,
inference(splitRight,[status(thm)],[c_27747]) ).
tff(c_28332,plain,
b1 != a2,
inference(demodulation,[status(thm),theory(equality)],[c_28323,c_117]) ).
tff(c_28412,plain,
s1 = b3b1,
inference(splitLeft,[status(thm)],[c_27652]) ).
tff(c_28443,plain,
incident(a1,b3b1),
inference(demodulation,[status(thm),theory(equality)],[c_28412,c_44]) ).
tff(c_28341,plain,
! [C_1000,A_1001] :
( ( b3b1 = C_1000 )
| ( p2 = A_1001 )
| ~ incident(p2,C_1000)
| ~ incident(A_1001,b3b1)
| ~ incident(A_1001,C_1000) ),
inference(resolution,[status(thm)],[c_66,c_18394]) ).
tff(c_28349,plain,
! [A_1001] :
( ( b3b1 = a3a1 )
| ( p2 = A_1001 )
| ~ incident(A_1001,b3b1)
| ~ incident(A_1001,a3a1) ),
inference(resolution,[status(thm)],[c_64,c_28341]) ).
tff(c_28360,plain,
! [A_1001] :
( ( p2 = A_1001 )
| ~ incident(A_1001,b3b1)
| ~ incident(A_1001,a3a1) ),
inference(negUnitSimplification,[status(thm)],[c_114,c_28349]) ).
tff(c_28454,plain,
( ( p2 = a1 )
| ~ incident(a1,a3a1) ),
inference(resolution,[status(thm)],[c_28443,c_28360]) ).
tff(c_28465,plain,
p2 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_24,c_28454]) ).
tff(c_28477,plain,
~ incident(a1,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_28465,c_18260]) ).
tff(c_28484,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_28477]) ).
tff(c_28487,plain,
! [A_1005] :
( ( b1 = A_1005 )
| ~ incident(A_1005,s1)
| ~ incident(A_1005,b3b1) ),
inference(splitRight,[status(thm)],[c_27652]) ).
tff(c_28490,plain,
( ( b1 = a2 )
| ~ incident(a2,b3b1) ),
inference(resolution,[status(thm)],[c_27599,c_28487]) ).
tff(c_28507,plain,
b1 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_18263,c_28490]) ).
tff(c_28509,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28332,c_28507]) ).
tff(c_28512,plain,
! [A_1006] :
( ( a2 = A_1006 )
| ~ incident(A_1006,s3)
| ~ incident(A_1006,s2) ),
inference(splitRight,[status(thm)],[c_27695]) ).
tff(c_28540,plain,
( ( b3 = a2 )
| ~ incident(b3,s2) ),
inference(resolution,[status(thm)],[c_54,c_28512]) ).
tff(c_28567,plain,
~ incident(b3,s2),
inference(splitLeft,[status(thm)],[c_28540]) ).
tff(c_29047,plain,
~ incident(a2,s2),
inference(demodulation,[status(thm),theory(equality)],[c_29021,c_28567]) ).
tff(c_29057,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_46,c_29047]) ).
tff(c_29058,plain,
b3 = a2,
inference(splitRight,[status(thm)],[c_28540]) ).
tff(c_29066,plain,
b1 != a2,
inference(demodulation,[status(thm),theory(equality)],[c_29058,c_117]) ).
tff(c_29092,plain,
s1 = b3b1,
inference(splitLeft,[status(thm)],[c_27652]) ).
tff(c_28563,plain,
! [A_1008] :
( ( s1 = a1a2 )
| ( a1 = A_1008 )
| ~ incident(A_1008,s1)
| ~ incident(A_1008,a1a2) ),
inference(resolution,[status(thm)],[c_14,c_28544]) ).
tff(c_29207,plain,
! [A_1008] :
( ( b3b1 = a1a2 )
| ( a1 = A_1008 )
| ~ incident(A_1008,b3b1)
| ~ incident(A_1008,a1a2) ),
inference(demodulation,[status(thm),theory(equality)],[c_29092,c_29092,c_28563]) ).
tff(c_29208,plain,
b3b1 = a1a2,
inference(splitLeft,[status(thm)],[c_29207]) ).
tff(c_29217,plain,
incident(p2,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_29208,c_66]) ).
tff(c_29224,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_18260,c_29217]) ).
tff(c_29227,plain,
! [A_1032] :
( ( a1 = A_1032 )
| ~ incident(A_1032,b3b1)
| ~ incident(A_1032,a1a2) ),
inference(splitRight,[status(thm)],[c_29207]) ).
tff(c_29241,plain,
( ( a2 = a1 )
| ~ incident(a2,a1a2) ),
inference(resolution,[status(thm)],[c_18263,c_29227]) ).
tff(c_29260,plain,
a2 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_29241]) ).
tff(c_29262,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_122,c_29260]) ).
tff(c_29288,plain,
! [A_1035] :
( ( b1 = A_1035 )
| ~ incident(A_1035,s1)
| ~ incident(A_1035,b3b1) ),
inference(splitRight,[status(thm)],[c_27652]) ).
tff(c_29291,plain,
( ( b1 = a2 )
| ~ incident(a2,b3b1) ),
inference(resolution,[status(thm)],[c_27599,c_29288]) ).
tff(c_29308,plain,
b1 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_18263,c_29291]) ).
tff(c_29310,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_29066,c_29308]) ).
tff(c_29312,plain,
incident(b2,s1),
inference(splitRight,[status(thm)],[c_20382]) ).
tff(c_30318,plain,
! [C_1068,A_1069] :
( ( b1b2 = C_1068 )
| ( b1 = A_1069 )
| ~ incident(b1,C_1068)
| ~ incident(A_1069,b1b2)
| ~ incident(A_1069,C_1068) ),
inference(resolution,[status(thm)],[c_26,c_18394]) ).
tff(c_30339,plain,
! [A_1069] :
( ( s1 = b1b2 )
| ( b1 = A_1069 )
| ~ incident(A_1069,b1b2)
| ~ incident(A_1069,s1) ),
inference(resolution,[status(thm)],[c_50,c_30318]) ).
tff(c_30858,plain,
s1 = b1b2,
inference(splitLeft,[status(thm)],[c_30339]) ).
tff(c_29311,plain,
s = b2,
inference(splitRight,[status(thm)],[c_20382]) ).
tff(c_29379,plain,
( ( b2 = a2 )
| ~ incident(a2,s1) ),
inference(demodulation,[status(thm),theory(equality)],[c_29311,c_20383]) ).
tff(c_29380,plain,
~ incident(a2,s1),
inference(splitLeft,[status(thm)],[c_29379]) ).
tff(c_30421,plain,
! [C_1071,A_1072] :
( ( b3b1 = C_1071 )
| ( b3 = A_1072 )
| ~ incident(b3,C_1071)
| ~ incident(A_1072,b3b1)
| ~ incident(A_1072,C_1071) ),
inference(resolution,[status(thm)],[c_34,c_18394]) ).
tff(c_30446,plain,
! [A_1072] :
( ( b3b1 = a1a2 )
| ( b3 = A_1072 )
| ~ incident(A_1072,b3b1)
| ~ incident(A_1072,a1a2) ),
inference(resolution,[status(thm)],[c_359,c_30421]) ).
tff(c_30491,plain,
b3b1 = a1a2,
inference(splitLeft,[status(thm)],[c_30446]) ).
tff(c_30500,plain,
incident(p2,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_30491,c_66]) ).
tff(c_30507,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_18260,c_30500]) ).
tff(c_30510,plain,
! [A_1074] :
( ( b3 = A_1074 )
| ~ incident(A_1074,b3b1)
| ~ incident(A_1074,a1a2) ),
inference(splitRight,[status(thm)],[c_30446]) ).
tff(c_30521,plain,
( ( b3 = a2 )
| ~ incident(a2,a1a2) ),
inference(resolution,[status(thm)],[c_18263,c_30510]) ).
tff(c_30539,plain,
b3 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_30521]) ).
tff(c_30368,plain,
! [A_723] :
( ( s3 = s1 )
| ( b2 = A_723 )
| ~ incident(A_723,s3)
| ~ incident(A_723,s1) ),
inference(demodulation,[status(thm),theory(equality)],[c_29311,c_20351]) ).
tff(c_30369,plain,
s3 = s1,
inference(splitLeft,[status(thm)],[c_30368]) ).
tff(c_30400,plain,
incident(b3,s1),
inference(demodulation,[status(thm),theory(equality)],[c_30369,c_54]) ).
tff(c_30551,plain,
incident(a2,s1),
inference(demodulation,[status(thm),theory(equality)],[c_30539,c_30400]) ).
tff(c_30568,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_29380,c_30551]) ).
tff(c_30597,plain,
! [A_1077] :
( ( b2 = A_1077 )
| ~ incident(A_1077,s3)
| ~ incident(A_1077,s1) ),
inference(splitRight,[status(thm)],[c_30368]) ).
tff(c_30628,plain,
( ( b2 = a3 )
| ~ incident(a3,s1) ),
inference(resolution,[status(thm)],[c_48,c_30597]) ).
tff(c_30629,plain,
~ incident(a3,s1),
inference(splitLeft,[status(thm)],[c_30628]) ).
tff(c_30889,plain,
~ incident(a3,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_30858,c_30629]) ).
tff(c_30902,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_18280,c_30889]) ).
tff(c_30905,plain,
! [A_1088] :
( ( b1 = A_1088 )
| ~ incident(A_1088,b1b2)
| ~ incident(A_1088,s1) ),
inference(splitRight,[status(thm)],[c_30339]) ).
tff(c_30908,plain,
( ( b2 = b1 )
| ~ incident(b2,b1b2) ),
inference(resolution,[status(thm)],[c_29312,c_30905]) ).
tff(c_30925,plain,
b2 = b1,
inference(demodulation,[status(thm),theory(equality)],[c_28,c_30908]) ).
tff(c_30927,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_119,c_30925]) ).
tff(c_30928,plain,
b2 = a3,
inference(splitRight,[status(thm)],[c_30628]) ).
tff(c_29791,plain,
! [C_1052,A_1053] :
( ( b2b3 = C_1052 )
| ( p1 = A_1053 )
| ~ incident(p1,C_1052)
| ~ incident(A_1053,b2b3)
| ~ incident(A_1053,C_1052) ),
inference(resolution,[status(thm)],[c_62,c_18394]) ).
tff(c_29801,plain,
! [A_1053] :
( ( b2b3 = a2a3 )
| ( p1 = A_1053 )
| ~ incident(A_1053,b2b3)
| ~ incident(A_1053,a2a3) ),
inference(resolution,[status(thm)],[c_60,c_29791]) ).
tff(c_29816,plain,
! [A_1054] :
( ( p1 = A_1054 )
| ~ incident(A_1054,b2b3)
| ~ incident(A_1054,a2a3) ),
inference(negUnitSimplification,[status(thm)],[c_115,c_29801]) ).
tff(c_29844,plain,
( ( p1 = b3 )
| ~ incident(b3,a2a3) ),
inference(resolution,[status(thm)],[c_32,c_29816]) ).
tff(c_29846,plain,
~ incident(b3,a2a3),
inference(splitLeft,[status(thm)],[c_29844]) ).
tff(c_29810,plain,
! [A_1053] :
( ( b2b3 = a1a2 )
| ( p1 = A_1053 )
| ~ incident(A_1053,b2b3)
| ~ incident(A_1053,a1a2) ),
inference(resolution,[status(thm)],[c_18261,c_29791]) ).
tff(c_30165,plain,
b2b3 = a1a2,
inference(splitLeft,[status(thm)],[c_29810]) ).
tff(c_30169,plain,
~ incident(a1,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_30165,c_126]) ).
tff(c_30177,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_30169]) ).
tff(c_30181,plain,
! [A_1064] :
( ( p1 = A_1064 )
| ~ incident(A_1064,b2b3)
| ~ incident(A_1064,a1a2) ),
inference(splitRight,[status(thm)],[c_29810]) ).
tff(c_30195,plain,
( ( p1 = b3 )
| ~ incident(b3,a1a2) ),
inference(resolution,[status(thm)],[c_32,c_30181]) ).
tff(c_30211,plain,
p1 = b3,
inference(demodulation,[status(thm),theory(equality)],[c_359,c_30195]) ).
tff(c_30249,plain,
incident(b3,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_30211,c_60]) ).
tff(c_30255,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_29846,c_30249]) ).
tff(c_30256,plain,
p1 = b3,
inference(splitRight,[status(thm)],[c_29844]) ).
tff(c_29845,plain,
( ( p1 = b2 )
| ~ incident(b2,a2a3) ),
inference(resolution,[status(thm)],[c_30,c_29816]) ).
tff(c_30316,plain,
( ( b3 = b2 )
| ~ incident(b2,a2a3) ),
inference(demodulation,[status(thm),theory(equality)],[c_30256,c_29845]) ).
tff(c_30317,plain,
~ incident(b2,a2a3),
inference(negUnitSimplification,[status(thm)],[c_118,c_30316]) ).
tff(c_30947,plain,
~ incident(a3,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_30928,c_30317]) ).
tff(c_30961,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_20,c_30947]) ).
tff(c_30962,plain,
b2 = a2,
inference(splitRight,[status(thm)],[c_29379]) ).
tff(c_30971,plain,
b1 != a2,
inference(demodulation,[status(thm),theory(equality)],[c_30962,c_119]) ).
tff(c_30972,plain,
b3 != a2,
inference(demodulation,[status(thm),theory(equality)],[c_30962,c_118]) ).
tff(c_18486,plain,
! [C_657,A_659] :
( ( b1b2 = C_657 )
| ( b2 = A_659 )
| ~ incident(b2,C_657)
| ~ incident(A_659,b1b2)
| ~ incident(A_659,C_657) ),
inference(resolution,[status(thm)],[c_28,c_18394]) ).
tff(c_31167,plain,
! [C_1095,A_1096] :
( ( b1b2 = C_1095 )
| ( a2 = A_1096 )
| ~ incident(a2,C_1095)
| ~ incident(A_1096,b1b2)
| ~ incident(A_1096,C_1095) ),
inference(demodulation,[status(thm),theory(equality)],[c_30962,c_30962,c_18486]) ).
tff(c_31201,plain,
! [A_1096] :
( ( b3b1 = b1b2 )
| ( a2 = A_1096 )
| ~ incident(A_1096,b1b2)
| ~ incident(A_1096,b3b1) ),
inference(resolution,[status(thm)],[c_18263,c_31167]) ).
tff(c_31356,plain,
b3b1 = b1b2,
inference(splitLeft,[status(thm)],[c_31201]) ).
tff(c_31365,plain,
incident(b3,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_31356,c_34]) ).
tff(c_31185,plain,
! [A_1096] :
( ( b1b2 = a1a2 )
| ( a2 = A_1096 )
| ~ incident(A_1096,b1b2)
| ~ incident(A_1096,a1a2) ),
inference(resolution,[status(thm)],[c_16,c_31167]) ).
tff(c_31204,plain,
! [A_1096] :
( ( a2 = A_1096 )
| ~ incident(A_1096,b1b2)
| ~ incident(A_1096,a1a2) ),
inference(negUnitSimplification,[status(thm)],[c_116,c_31185]) ).
tff(c_31467,plain,
( ( b3 = a2 )
| ~ incident(b3,a1a2) ),
inference(resolution,[status(thm)],[c_31365,c_31204]) ).
tff(c_31478,plain,
b3 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_359,c_31467]) ).
tff(c_31480,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_30972,c_31478]) ).
tff(c_31552,plain,
! [A_1105] :
( ( a2 = A_1105 )
| ~ incident(A_1105,b1b2)
| ~ incident(A_1105,b3b1) ),
inference(splitRight,[status(thm)],[c_31201]) ).
tff(c_31569,plain,
( ( b1 = a2 )
| ~ incident(b1,b1b2) ),
inference(resolution,[status(thm)],[c_36,c_31552]) ).
tff(c_31586,plain,
b1 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_26,c_31569]) ).
tff(c_31588,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_30971,c_31586]) ).
tff(c_31589,plain,
incident(b2,a3a1),
inference(splitRight,[status(thm)],[c_12]) ).
tff(c_33827,plain,
! [C_1194,A_1195] :
( ( s2 = C_1194 )
| ( a2 = A_1195 )
| ~ incident(a2,C_1194)
| ~ incident(A_1195,s2)
| ~ incident(A_1195,C_1194) ),
inference(resolution,[status(thm)],[c_46,c_31704]) ).
tff(c_33848,plain,
! [A_1195] :
( ( s2 = b3b1 )
| ( a2 = A_1195 )
| ~ incident(A_1195,s2)
| ~ incident(A_1195,b3b1) ),
inference(resolution,[status(thm)],[c_18263,c_33827]) ).
tff(c_33870,plain,
s2 = b3b1,
inference(splitLeft,[status(thm)],[c_33848]) ).
tff(c_33880,plain,
incident(b2,b3b1),
inference(demodulation,[status(thm),theory(equality)],[c_33870,c_52]) ).
tff(c_33872,plain,
incident(a3,b3b1),
inference(demodulation,[status(thm),theory(equality)],[c_33870,c_33782]) ).
tff(c_34490,plain,
! [C_1214,A_1215] :
( ( a3a1 = C_1214 )
| ( a3 = A_1215 )
| ~ incident(a3,C_1214)
| ~ incident(A_1215,a3a1)
| ~ incident(A_1215,C_1214) ),
inference(resolution,[status(thm)],[c_22,c_31704]) ).
tff(c_34492,plain,
! [A_1215] :
( ( b3b1 = a3a1 )
| ( a3 = A_1215 )
| ~ incident(A_1215,a3a1)
| ~ incident(A_1215,b3b1) ),
inference(resolution,[status(thm)],[c_33872,c_34490]) ).
tff(c_34515,plain,
! [A_1216] :
( ( a3 = A_1216 )
| ~ incident(A_1216,a3a1)
| ~ incident(A_1216,b3b1) ),
inference(negUnitSimplification,[status(thm)],[c_114,c_34492]) ).
tff(c_34521,plain,
( ( b2 = a3 )
| ~ incident(b2,a3a1) ),
inference(resolution,[status(thm)],[c_33880,c_34515]) ).
tff(c_34545,plain,
b2 = a3,
inference(demodulation,[status(thm),theory(equality)],[c_31589,c_34521]) ).
tff(c_34042,plain,
! [C_1201,A_1202] :
( ( b3b1 = C_1201 )
| ( b3 = A_1202 )
| ~ incident(b3,C_1201)
| ~ incident(A_1202,b3b1)
| ~ incident(A_1202,C_1201) ),
inference(resolution,[status(thm)],[c_34,c_31704]) ).
tff(c_34061,plain,
! [A_1202] :
( ( b3b1 = a1a2 )
| ( b3 = A_1202 )
| ~ incident(A_1202,b3b1)
| ~ incident(A_1202,a1a2) ),
inference(resolution,[status(thm)],[c_359,c_34042]) ).
tff(c_34092,plain,
b3b1 = a1a2,
inference(splitLeft,[status(thm)],[c_34061]) ).
tff(c_33725,plain,
! [C_1190,A_1191] :
( ( s1 = C_1190 )
| ( b1 = A_1191 )
| ~ incident(b1,C_1190)
| ~ incident(A_1191,s1)
| ~ incident(A_1191,C_1190) ),
inference(resolution,[status(thm)],[c_50,c_31704]) ).
tff(c_33747,plain,
! [A_1191] :
( ( s1 = b3b1 )
| ( b1 = A_1191 )
| ~ incident(A_1191,s1)
| ~ incident(A_1191,b3b1) ),
inference(resolution,[status(thm)],[c_36,c_33725]) ).
tff(c_33853,plain,
s1 = b3b1,
inference(splitLeft,[status(thm)],[c_33747]) ).
tff(c_33855,plain,
~ incident(b3,b3b1),
inference(demodulation,[status(thm),theory(equality)],[c_33853,c_33748]) ).
tff(c_33867,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_34,c_33855]) ).
tff(c_33958,plain,
! [A_1198] :
( ( b1 = A_1198 )
| ~ incident(A_1198,s1)
| ~ incident(A_1198,b3b1) ),
inference(splitRight,[status(thm)],[c_33747]) ).
tff(c_33985,plain,
( ( b1 = a1 )
| ~ incident(a1,b3b1) ),
inference(resolution,[status(thm)],[c_44,c_33958]) ).
tff(c_34000,plain,
~ incident(a1,b3b1),
inference(splitLeft,[status(thm)],[c_33985]) ).
tff(c_34094,plain,
~ incident(a1,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_34092,c_34000]) ).
tff(c_34110,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_34094]) ).
tff(c_34113,plain,
! [A_1204] :
( ( b3 = A_1204 )
| ~ incident(A_1204,b3b1)
| ~ incident(A_1204,a1a2) ),
inference(splitRight,[status(thm)],[c_34061]) ).
tff(c_34130,plain,
( ( b3 = a2 )
| ~ incident(a2,a1a2) ),
inference(resolution,[status(thm)],[c_18263,c_34113]) ).
tff(c_34152,plain,
b3 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_34130]) ).
tff(c_34169,plain,
b2 != a2,
inference(demodulation,[status(thm),theory(equality)],[c_34152,c_118]) ).
tff(c_34167,plain,
incident(a2,b2b3),
inference(demodulation,[status(thm),theory(equality)],[c_34152,c_32]) ).
tff(c_34178,plain,
! [C_1205,A_1206] :
( ( a2a3 = C_1205 )
| ( p1 = A_1206 )
| ~ incident(p1,C_1205)
| ~ incident(A_1206,a2a3)
| ~ incident(A_1206,C_1205) ),
inference(resolution,[status(thm)],[c_60,c_31704]) ).
tff(c_34190,plain,
! [A_1206] :
( ( b2b3 = a2a3 )
| ( p1 = A_1206 )
| ~ incident(A_1206,a2a3)
| ~ incident(A_1206,b2b3) ),
inference(resolution,[status(thm)],[c_62,c_34178]) ).
tff(c_34221,plain,
! [A_1207] :
( ( p1 = A_1207 )
| ~ incident(A_1207,a2a3)
| ~ incident(A_1207,b2b3) ),
inference(negUnitSimplification,[status(thm)],[c_115,c_34190]) ).
tff(c_34224,plain,
( ( p1 = a2 )
| ~ incident(a2,a2a3) ),
inference(resolution,[status(thm)],[c_34167,c_34221]) ).
tff(c_34241,plain,
p1 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_18,c_34224]) ).
tff(c_34252,plain,
( ( p1 = b2 )
| ~ incident(b2,a2a3) ),
inference(resolution,[status(thm)],[c_30,c_34221]) ).
tff(c_34300,plain,
( ( b2 = a2 )
| ~ incident(b2,a2a3) ),
inference(demodulation,[status(thm),theory(equality)],[c_34241,c_34252]) ).
tff(c_34301,plain,
~ incident(b2,a2a3),
inference(negUnitSimplification,[status(thm)],[c_34169,c_34300]) ).
tff(c_34574,plain,
~ incident(a3,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_34545,c_34301]) ).
tff(c_34588,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_20,c_34574]) ).
tff(c_34589,plain,
b1 = a1,
inference(splitRight,[status(thm)],[c_33985]) ).
tff(c_34599,plain,
b2 != a1,
inference(demodulation,[status(thm),theory(equality)],[c_34589,c_119]) ).
tff(c_34590,plain,
incident(a1,b3b1),
inference(splitRight,[status(thm)],[c_33985]) ).
tff(c_31797,plain,
! [C_1121,A_1123] :
( ( s2 = C_1121 )
| ( b2 = A_1123 )
| ~ incident(b2,C_1121)
| ~ incident(A_1123,s2)
| ~ incident(A_1123,C_1121) ),
inference(resolution,[status(thm)],[c_52,c_31704]) ).
tff(c_34698,plain,
! [C_1220,A_1221] :
( ( b3b1 = C_1220 )
| ( b2 = A_1221 )
| ~ incident(b2,C_1220)
| ~ incident(A_1221,b3b1)
| ~ incident(A_1221,C_1220) ),
inference(demodulation,[status(thm),theory(equality)],[c_33870,c_33870,c_31797]) ).
tff(c_34708,plain,
! [A_1221] :
( ( b3b1 = a3a1 )
| ( b2 = A_1221 )
| ~ incident(A_1221,b3b1)
| ~ incident(A_1221,a3a1) ),
inference(resolution,[status(thm)],[c_31589,c_34698]) ).
tff(c_34777,plain,
! [A_1223] :
( ( b2 = A_1223 )
| ~ incident(A_1223,b3b1)
| ~ incident(A_1223,a3a1) ),
inference(negUnitSimplification,[status(thm)],[c_114,c_34708]) ).
tff(c_34780,plain,
( ( b2 = a1 )
| ~ incident(a1,a3a1) ),
inference(resolution,[status(thm)],[c_34590,c_34777]) ).
tff(c_34806,plain,
b2 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_24,c_34780]) ).
tff(c_34808,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_34599,c_34806]) ).
tff(c_34869,plain,
! [A_1227] :
( ( a2 = A_1227 )
| ~ incident(A_1227,s2)
| ~ incident(A_1227,b3b1) ),
inference(splitRight,[status(thm)],[c_33848]) ).
tff(c_34875,plain,
( ( b3 = a2 )
| ~ incident(b3,b3b1) ),
inference(resolution,[status(thm)],[c_33781,c_34869]) ).
tff(c_34898,plain,
b3 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_34,c_34875]) ).
tff(c_34918,plain,
b2 != a2,
inference(demodulation,[status(thm),theory(equality)],[c_34898,c_118]) ).
tff(c_33850,plain,
! [A_1195] :
( ( s2 = a2a3 )
| ( a2 = A_1195 )
| ~ incident(A_1195,s2)
| ~ incident(A_1195,a2a3) ),
inference(resolution,[status(thm)],[c_18,c_33827]) ).
tff(c_34948,plain,
s2 = a2a3,
inference(splitLeft,[status(thm)],[c_33850]) ).
tff(c_34982,plain,
incident(b2,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_34948,c_52]) ).
tff(c_34916,plain,
incident(a2,b2b3),
inference(demodulation,[status(thm),theory(equality)],[c_34898,c_32]) ).
tff(c_35406,plain,
! [C_1245,A_1246] :
( ( a2a3 = C_1245 )
| ( a2 = A_1246 )
| ~ incident(a2,C_1245)
| ~ incident(A_1246,a2a3)
| ~ incident(A_1246,C_1245) ),
inference(resolution,[status(thm)],[c_18,c_31704]) ).
tff(c_35408,plain,
! [A_1246] :
( ( b2b3 = a2a3 )
| ( a2 = A_1246 )
| ~ incident(A_1246,a2a3)
| ~ incident(A_1246,b2b3) ),
inference(resolution,[status(thm)],[c_34916,c_35406]) ).
tff(c_35495,plain,
! [A_1249] :
( ( a2 = A_1249 )
| ~ incident(A_1249,a2a3)
| ~ incident(A_1249,b2b3) ),
inference(negUnitSimplification,[status(thm)],[c_115,c_35408]) ).
tff(c_35512,plain,
( ( b2 = a2 )
| ~ incident(b2,a2a3) ),
inference(resolution,[status(thm)],[c_30,c_35495]) ).
tff(c_35528,plain,
b2 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_34982,c_35512]) ).
tff(c_35530,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_34918,c_35528]) ).
tff(c_35556,plain,
! [A_1252] :
( ( a2 = A_1252 )
| ~ incident(A_1252,s2)
| ~ incident(A_1252,a2a3) ),
inference(splitRight,[status(thm)],[c_33850]) ).
tff(c_35559,plain,
( ( a3 = a2 )
| ~ incident(a3,a2a3) ),
inference(resolution,[status(thm)],[c_33782,c_35556]) ).
tff(c_35579,plain,
a3 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_20,c_35559]) ).
tff(c_35581,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_121,c_35579]) ).
tff(c_35584,plain,
! [A_1253] :
( ( s = A_1253 )
| ~ incident(A_1253,s2)
| ~ incident(A_1253,s3) ),
inference(splitRight,[status(thm)],[c_31832]) ).
tff(c_35608,plain,
( ( s = b3 )
| ~ incident(b3,s2) ),
inference(resolution,[status(thm)],[c_54,c_35584]) ).
tff(c_35637,plain,
~ incident(b3,s2),
inference(splitLeft,[status(thm)],[c_35608]) ).
tff(c_35904,plain,
~ incident(a2,s2),
inference(demodulation,[status(thm),theory(equality)],[c_35902,c_35637]) ).
tff(c_35915,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_46,c_35904]) ).
tff(c_35916,plain,
s = b3,
inference(splitRight,[status(thm)],[c_35608]) ).
tff(c_35951,plain,
incident(b3,s1),
inference(demodulation,[status(thm),theory(equality)],[c_35916,c_38]) ).
tff(c_35955,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_33748,c_35951]) ).
tff(c_35957,plain,
incident(b3,s1),
inference(splitRight,[status(thm)],[c_33719]) ).
tff(c_36452,plain,
incident(a2,s1),
inference(demodulation,[status(thm),theory(equality)],[c_36418,c_35957]) ).
tff(c_36464,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_33241,c_36452]) ).
tff(c_36466,plain,
incident(a2,s1),
inference(splitRight,[status(thm)],[c_33216]) ).
tff(c_38804,plain,
! [C_1360,A_1361] :
( ( a1a2 = C_1360 )
| ( a1 = A_1361 )
| ~ incident(a1,C_1360)
| ~ incident(A_1361,a1a2)
| ~ incident(A_1361,C_1360) ),
inference(resolution,[status(thm)],[c_14,c_31704]) ).
tff(c_38825,plain,
! [A_1361] :
( ( s1 = a1a2 )
| ( a1 = A_1361 )
| ~ incident(A_1361,a1a2)
| ~ incident(A_1361,s1) ),
inference(resolution,[status(thm)],[c_44,c_38804]) ).
tff(c_38887,plain,
s1 = a1a2,
inference(splitLeft,[status(thm)],[c_38825]) ).
tff(c_36828,plain,
! [C_1293,A_1294] :
( ( a2a3 = C_1293 )
| ( a2 = A_1294 )
| ~ incident(a2,C_1293)
| ~ incident(A_1294,a2a3)
| ~ incident(A_1294,C_1293) ),
inference(resolution,[status(thm)],[c_18,c_31704]) ).
tff(c_36853,plain,
! [A_1294] :
( ( a2a3 = a1a2 )
| ( a2 = A_1294 )
| ~ incident(A_1294,a2a3)
| ~ incident(A_1294,a1a2) ),
inference(resolution,[status(thm)],[c_16,c_36828]) ).
tff(c_37505,plain,
a2a3 = a1a2,
inference(splitLeft,[status(thm)],[c_36853]) ).
tff(c_36577,plain,
! [C_1285,A_1286] :
( ( a2a3 = C_1285 )
| ( a3 = A_1286 )
| ~ incident(a3,C_1285)
| ~ incident(A_1286,a2a3)
| ~ incident(A_1286,C_1285) ),
inference(resolution,[status(thm)],[c_20,c_31704]) ).
tff(c_36596,plain,
! [A_1286] :
( ( a3a1 = a2a3 )
| ( a3 = A_1286 )
| ~ incident(A_1286,a2a3)
| ~ incident(A_1286,a3a1) ),
inference(resolution,[status(thm)],[c_22,c_36577]) ).
tff(c_36656,plain,
a3a1 = a2a3,
inference(splitLeft,[status(thm)],[c_36596]) ).
tff(c_36659,plain,
incident(p2,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_36656,c_64]) ).
tff(c_36662,plain,
b3b1 != a2a3,
inference(demodulation,[status(thm),theory(equality)],[c_36656,c_114]) ).
tff(c_36682,plain,
! [C_1289,A_1290] :
( ( a2a3 = C_1289 )
| ( a2 = A_1290 )
| ~ incident(a2,C_1289)
| ~ incident(A_1290,a2a3)
| ~ incident(A_1290,C_1289) ),
inference(resolution,[status(thm)],[c_18,c_31704]) ).
tff(c_36692,plain,
! [A_1290] :
( ( b3b1 = a2a3 )
| ( a2 = A_1290 )
| ~ incident(A_1290,a2a3)
| ~ incident(A_1290,b3b1) ),
inference(resolution,[status(thm)],[c_18263,c_36682]) ).
tff(c_36739,plain,
! [A_1291] :
( ( a2 = A_1291 )
| ~ incident(A_1291,a2a3)
| ~ incident(A_1291,b3b1) ),
inference(negUnitSimplification,[status(thm)],[c_36662,c_36692]) ).
tff(c_36753,plain,
( ( p2 = a2 )
| ~ incident(p2,a2a3) ),
inference(resolution,[status(thm)],[c_66,c_36739]) ).
tff(c_36772,plain,
p2 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_36659,c_36753]) ).
tff(c_36781,plain,
~ incident(a2,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_36772,c_18260]) ).
tff(c_36788,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_36781]) ).
tff(c_36791,plain,
! [A_1292] :
( ( a3 = A_1292 )
| ~ incident(A_1292,a2a3)
| ~ incident(A_1292,a3a1) ),
inference(splitRight,[status(thm)],[c_36596]) ).
tff(c_36811,plain,
( ( a3 = a1 )
| ~ incident(a1,a2a3) ),
inference(resolution,[status(thm)],[c_24,c_36791]) ).
tff(c_36826,plain,
~ incident(a1,a2a3),
inference(negUnitSimplification,[status(thm)],[c_120,c_36811]) ).
tff(c_37515,plain,
~ incident(a1,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_37505,c_36826]) ).
tff(c_37526,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_37515]) ).
tff(c_37529,plain,
! [A_1318] :
( ( a2 = A_1318 )
| ~ incident(A_1318,a2a3)
| ~ incident(A_1318,a1a2) ),
inference(splitRight,[status(thm)],[c_36853]) ).
tff(c_37543,plain,
( ( a3 = a2 )
| ~ incident(a3,a1a2) ),
inference(resolution,[status(thm)],[c_20,c_37529]) ).
tff(c_37556,plain,
~ incident(a3,a1a2),
inference(negUnitSimplification,[status(thm)],[c_121,c_37543]) ).
tff(c_37455,plain,
! [C_1315,A_1316] :
( ( a1a2 = C_1315 )
| ( a1 = A_1316 )
| ~ incident(a1,C_1315)
| ~ incident(A_1316,a1a2)
| ~ incident(A_1316,C_1315) ),
inference(resolution,[status(thm)],[c_14,c_31704]) ).
tff(c_37476,plain,
! [A_1316] :
( ( s1 = a1a2 )
| ( a1 = A_1316 )
| ~ incident(A_1316,a1a2)
| ~ incident(A_1316,s1) ),
inference(resolution,[status(thm)],[c_44,c_37455]) ).
tff(c_37557,plain,
s1 = a1a2,
inference(splitLeft,[status(thm)],[c_37476]) ).
tff(c_36465,plain,
s = a2,
inference(splitRight,[status(thm)],[c_33216]) ).
tff(c_36565,plain,
! [A_1171] :
( ( s3 = s1 )
| ( a2 = A_1171 )
| ~ incident(A_1171,s3)
| ~ incident(A_1171,s1) ),
inference(demodulation,[status(thm),theory(equality)],[c_36465,c_33238]) ).
tff(c_36566,plain,
s3 = s1,
inference(splitLeft,[status(thm)],[c_36565]) ).
tff(c_36570,plain,
incident(a3,s1),
inference(demodulation,[status(thm),theory(equality)],[c_36566,c_48]) ).
tff(c_37559,plain,
incident(a3,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_37557,c_36570]) ).
tff(c_37569,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_37556,c_37559]) ).
tff(c_37572,plain,
! [A_1319] :
( ( a1 = A_1319 )
| ~ incident(A_1319,a1a2)
| ~ incident(A_1319,s1) ),
inference(splitRight,[status(thm)],[c_37476]) ).
tff(c_37578,plain,
( ( a2 = a1 )
| ~ incident(a2,a1a2) ),
inference(resolution,[status(thm)],[c_36466,c_37572]) ).
tff(c_37597,plain,
a2 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_37578]) ).
tff(c_37599,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_122,c_37597]) ).
tff(c_37628,plain,
! [A_1322] :
( ( a2 = A_1322 )
| ~ incident(A_1322,s3)
| ~ incident(A_1322,s1) ),
inference(splitRight,[status(thm)],[c_36565]) ).
tff(c_37656,plain,
( ( b3 = a2 )
| ~ incident(b3,s1) ),
inference(resolution,[status(thm)],[c_54,c_37628]) ).
tff(c_37660,plain,
~ incident(b3,s1),
inference(splitLeft,[status(thm)],[c_37656]) ).
tff(c_38890,plain,
~ incident(b3,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_38887,c_37660]) ).
tff(c_38903,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_359,c_38890]) ).
tff(c_38929,plain,
! [A_1366] :
( ( a1 = A_1366 )
| ~ incident(A_1366,a1a2)
| ~ incident(A_1366,s1) ),
inference(splitRight,[status(thm)],[c_38825]) ).
tff(c_38932,plain,
( ( a2 = a1 )
| ~ incident(a2,a1a2) ),
inference(resolution,[status(thm)],[c_36466,c_38929]) ).
tff(c_38949,plain,
a2 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_38932]) ).
tff(c_38951,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_122,c_38949]) ).
tff(c_38952,plain,
b3 = a2,
inference(splitRight,[status(thm)],[c_37656]) ).
tff(c_38961,plain,
b1 != a2,
inference(demodulation,[status(thm),theory(equality)],[c_38952,c_117]) ).
tff(c_39551,plain,
! [C_1387,A_1388] :
( ( s1 = C_1387 )
| ( a1 = A_1388 )
| ~ incident(a1,C_1387)
| ~ incident(A_1388,s1)
| ~ incident(A_1388,C_1387) ),
inference(resolution,[status(thm)],[c_44,c_31704]) ).
tff(c_39570,plain,
! [A_1388] :
( ( s1 = a1a2 )
| ( a1 = A_1388 )
| ~ incident(A_1388,s1)
| ~ incident(A_1388,a1a2) ),
inference(resolution,[status(thm)],[c_14,c_39551]) ).
tff(c_39574,plain,
s1 = a1a2,
inference(splitLeft,[status(thm)],[c_39570]) ).
tff(c_39583,plain,
incident(b1,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_39574,c_50]) ).
tff(c_37602,plain,
! [C_1320,A_1321] :
( ( a1a2 = C_1320 )
| ( b3 = A_1321 )
| ~ incident(b3,C_1320)
| ~ incident(A_1321,a1a2)
| ~ incident(A_1321,C_1320) ),
inference(resolution,[status(thm)],[c_359,c_31704]) ).
tff(c_37627,plain,
! [A_1321] :
( ( b3b1 = a1a2 )
| ( b3 = A_1321 )
| ~ incident(A_1321,a1a2)
| ~ incident(A_1321,b3b1) ),
inference(resolution,[status(thm)],[c_34,c_37602]) ).
tff(c_39760,plain,
! [A_1321] :
( ( b3b1 = a1a2 )
| ( a2 = A_1321 )
| ~ incident(A_1321,a1a2)
| ~ incident(A_1321,b3b1) ),
inference(demodulation,[status(thm),theory(equality)],[c_38952,c_37627]) ).
tff(c_39761,plain,
b3b1 = a1a2,
inference(splitLeft,[status(thm)],[c_39760]) ).
tff(c_39772,plain,
incident(p2,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_39761,c_66]) ).
tff(c_39778,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_18260,c_39772]) ).
tff(c_39781,plain,
! [A_1394] :
( ( a2 = A_1394 )
| ~ incident(A_1394,a1a2)
| ~ incident(A_1394,b3b1) ),
inference(splitRight,[status(thm)],[c_39760]) ).
tff(c_39798,plain,
( ( b1 = a2 )
| ~ incident(b1,a1a2) ),
inference(resolution,[status(thm)],[c_36,c_39781]) ).
tff(c_39812,plain,
b1 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_39583,c_39798]) ).
tff(c_39814,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_38961,c_39812]) ).
tff(c_39871,plain,
! [A_1397] :
( ( a1 = A_1397 )
| ~ incident(A_1397,s1)
| ~ incident(A_1397,a1a2) ),
inference(splitRight,[status(thm)],[c_39570]) ).
tff(c_39874,plain,
( ( a2 = a1 )
| ~ incident(a2,a1a2) ),
inference(resolution,[status(thm)],[c_36466,c_39871]) ).
tff(c_39891,plain,
a2 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_39874]) ).
tff(c_39893,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_122,c_39891]) ).
tff(c_39895,plain,
incident(p1,b1b2),
inference(splitRight,[status(thm)],[c_131]) ).
tff(c_58094,plain,
! [C_1997,A_1998] :
( ( b2b3 = C_1997 )
| ( p1 = A_1998 )
| ~ incident(p1,C_1997)
| ~ incident(A_1998,b2b3)
| ~ incident(A_1998,C_1997) ),
inference(resolution,[status(thm)],[c_62,c_40042]) ).
tff(c_58113,plain,
! [A_1998] :
( ( b2b3 = b1b2 )
| ( p1 = A_1998 )
| ~ incident(A_1998,b2b3)
| ~ incident(A_1998,b1b2) ),
inference(resolution,[status(thm)],[c_39895,c_58094]) ).
tff(c_58120,plain,
b2b3 = b1b2,
inference(splitLeft,[status(thm)],[c_58113]) ).
tff(c_58126,plain,
incident(b3,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_58120,c_32]) ).
tff(c_58302,plain,
! [C_2004,A_2005] :
( ( b1b2 = C_2004 )
| ( p3 = A_2005 )
| ~ incident(p3,C_2004)
| ~ incident(A_2005,b1b2)
| ~ incident(A_2005,C_2004) ),
inference(resolution,[status(thm)],[c_58,c_40042]) ).
tff(c_58310,plain,
! [A_2005] :
( ( b1b2 = a1a2 )
| ( p3 = A_2005 )
| ~ incident(A_2005,b1b2)
| ~ incident(A_2005,a1a2) ),
inference(resolution,[status(thm)],[c_56,c_58302]) ).
tff(c_58324,plain,
! [A_2006] :
( ( p3 = A_2006 )
| ~ incident(A_2006,b1b2)
| ~ incident(A_2006,a1a2) ),
inference(negUnitSimplification,[status(thm)],[c_116,c_58310]) ).
tff(c_58327,plain,
( ( p3 = b3 )
| ~ incident(b3,a1a2) ),
inference(resolution,[status(thm)],[c_58126,c_58324]) ).
tff(c_58350,plain,
p3 = b3,
inference(demodulation,[status(thm),theory(equality)],[c_39926,c_58327]) ).
tff(c_58362,plain,
( ( p3 = b1 )
| ~ incident(b1,a1a2) ),
inference(resolution,[status(thm)],[c_26,c_58324]) ).
tff(c_58380,plain,
( ( b3 = b1 )
| ~ incident(b1,a1a2) ),
inference(demodulation,[status(thm),theory(equality)],[c_58350,c_58362]) ).
tff(c_58381,plain,
~ incident(b1,a1a2),
inference(negUnitSimplification,[status(thm)],[c_117,c_58380]) ).
tff(c_39944,plain,
incident(a2,b3b1),
inference(negUnitSimplification,[status(thm)],[c_136,c_10]) ).
tff(c_58149,plain,
! [C_1999,A_2000] :
( ( a1a2 = C_1999 )
| ( a2 = A_2000 )
| ~ incident(a2,C_1999)
| ~ incident(A_2000,a1a2)
| ~ incident(A_2000,C_1999) ),
inference(resolution,[status(thm)],[c_16,c_40042]) ).
tff(c_58170,plain,
! [A_2000] :
( ( b3b1 = a1a2 )
| ( a2 = A_2000 )
| ~ incident(A_2000,a1a2)
| ~ incident(A_2000,b3b1) ),
inference(resolution,[status(thm)],[c_39944,c_58149]) ).
tff(c_58483,plain,
b3b1 = a1a2,
inference(splitLeft,[status(thm)],[c_58170]) ).
tff(c_58490,plain,
incident(b1,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_58483,c_36]) ).
tff(c_58496,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58381,c_58490]) ).
tff(c_58499,plain,
! [A_2011] :
( ( a2 = A_2011 )
| ~ incident(A_2011,a1a2)
| ~ incident(A_2011,b3b1) ),
inference(splitRight,[status(thm)],[c_58170]) ).
tff(c_58519,plain,
( ( b3 = a2 )
| ~ incident(b3,a1a2) ),
inference(resolution,[status(thm)],[c_34,c_58499]) ).
tff(c_58534,plain,
b3 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_39926,c_58519]) ).
tff(c_57958,plain,
( ( p1 = b3 )
| ~ incident(b3,a2a3) ),
inference(resolution,[status(thm)],[c_32,c_57930]) ).
tff(c_57960,plain,
~ incident(b3,a2a3),
inference(splitLeft,[status(thm)],[c_57958]) ).
tff(c_58544,plain,
~ incident(a2,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_58534,c_57960]) ).
tff(c_58553,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_18,c_58544]) ).
tff(c_58582,plain,
! [A_2014] :
( ( p1 = A_2014 )
| ~ incident(A_2014,b2b3)
| ~ incident(A_2014,b1b2) ),
inference(splitRight,[status(thm)],[c_58113]) ).
tff(c_58599,plain,
( ( p1 = b2 )
| ~ incident(b2,b1b2) ),
inference(resolution,[status(thm)],[c_30,c_58582]) ).
tff(c_58613,plain,
p1 = b2,
inference(demodulation,[status(thm),theory(equality)],[c_28,c_58599]) ).
tff(c_58625,plain,
incident(b2,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_58613,c_60]) ).
tff(c_58631,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_57961,c_58625]) ).
tff(c_58632,plain,
p1 = b2,
inference(splitRight,[status(thm)],[c_57959]) ).
tff(c_57922,plain,
! [A_1991] :
( ( b1b2 = a2a3 )
| ( p1 = A_1991 )
| ~ incident(A_1991,a2a3)
| ~ incident(A_1991,b1b2) ),
inference(resolution,[status(thm)],[c_39895,c_57903]) ).
tff(c_58768,plain,
! [A_1991] :
( ( b1b2 = a2a3 )
| ( b2 = A_1991 )
| ~ incident(A_1991,a2a3)
| ~ incident(A_1991,b1b2) ),
inference(demodulation,[status(thm),theory(equality)],[c_58632,c_57922]) ).
tff(c_58769,plain,
b1b2 = a2a3,
inference(splitLeft,[status(thm)],[c_58768]) ).
tff(c_58774,plain,
incident(b1,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_58769,c_26]) ).
tff(c_58780,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_136,c_58774]) ).
tff(c_58783,plain,
! [A_2020] :
( ( b2 = A_2020 )
| ~ incident(A_2020,a2a3)
| ~ incident(A_2020,b1b2) ),
inference(splitRight,[status(thm)],[c_58768]) ).
tff(c_58794,plain,
( ( b2 = a3 )
| ~ incident(a3,a2a3) ),
inference(resolution,[status(thm)],[c_39898,c_58783]) ).
tff(c_58812,plain,
b2 = a3,
inference(demodulation,[status(thm),theory(equality)],[c_20,c_58794]) ).
tff(c_56426,plain,
! [C_1944,A_1945] :
( ( a1a2 = C_1944 )
| ( a2 = A_1945 )
| ~ incident(a2,C_1944)
| ~ incident(A_1945,a1a2)
| ~ incident(A_1945,C_1944) ),
inference(resolution,[status(thm)],[c_16,c_40042]) ).
tff(c_56453,plain,
! [A_1945] :
( ( b3b1 = a1a2 )
| ( a2 = A_1945 )
| ~ incident(A_1945,a1a2)
| ~ incident(A_1945,b3b1) ),
inference(resolution,[status(thm)],[c_39944,c_56426]) ).
tff(c_56646,plain,
b3b1 = a1a2,
inference(splitLeft,[status(thm)],[c_56453]) ).
tff(c_56225,plain,
! [C_1936,A_1937] :
( ( b3b1 = C_1936 )
| ( b1 = A_1937 )
| ~ incident(b1,C_1936)
| ~ incident(A_1937,b3b1)
| ~ incident(A_1937,C_1936) ),
inference(resolution,[status(thm)],[c_36,c_40042]) ).
tff(c_56245,plain,
! [A_1937] :
( ( s1 = b3b1 )
| ( b1 = A_1937 )
| ~ incident(A_1937,b3b1)
| ~ incident(A_1937,s1) ),
inference(resolution,[status(thm)],[c_50,c_56225]) ).
tff(c_57139,plain,
! [A_1937] :
( ( s1 = a1a2 )
| ( b1 = A_1937 )
| ~ incident(A_1937,a1a2)
| ~ incident(A_1937,s1) ),
inference(demodulation,[status(thm),theory(equality)],[c_56646,c_56646,c_56245]) ).
tff(c_57140,plain,
s1 = a1a2,
inference(splitLeft,[status(thm)],[c_57139]) ).
tff(c_54768,plain,
! [C_1890,A_1891] :
( ( a1a2 = C_1890 )
| ( a2 = A_1891 )
| ~ incident(a2,C_1890)
| ~ incident(A_1891,a1a2)
| ~ incident(A_1891,C_1890) ),
inference(resolution,[status(thm)],[c_16,c_40042]) ).
tff(c_54792,plain,
! [A_1891] :
( ( b3b1 = a1a2 )
| ( a2 = A_1891 )
| ~ incident(A_1891,a1a2)
| ~ incident(A_1891,b3b1) ),
inference(resolution,[status(thm)],[c_39944,c_54768]) ).
tff(c_55076,plain,
b3b1 = a1a2,
inference(splitLeft,[status(thm)],[c_54792]) ).
tff(c_54658,plain,
! [C_1886,A_1887] :
( ( a3a1 = C_1886 )
| ( p2 = A_1887 )
| ~ incident(p2,C_1886)
| ~ incident(A_1887,a3a1)
| ~ incident(A_1887,C_1886) ),
inference(resolution,[status(thm)],[c_64,c_40042]) ).
tff(c_54668,plain,
! [A_1887] :
( ( b3b1 = a3a1 )
| ( p2 = A_1887 )
| ~ incident(A_1887,a3a1)
| ~ incident(A_1887,b3b1) ),
inference(resolution,[status(thm)],[c_66,c_54658]) ).
tff(c_54679,plain,
! [A_1887] :
( ( p2 = A_1887 )
| ~ incident(A_1887,a3a1)
| ~ incident(A_1887,b3b1) ),
inference(negUnitSimplification,[status(thm)],[c_114,c_54668]) ).
tff(c_55157,plain,
! [A_1902] :
( ( p2 = A_1902 )
| ~ incident(A_1902,a3a1)
| ~ incident(A_1902,a1a2) ),
inference(demodulation,[status(thm),theory(equality)],[c_55076,c_54679]) ).
tff(c_55174,plain,
( ( p2 = a1 )
| ~ incident(a1,a1a2) ),
inference(resolution,[status(thm)],[c_24,c_55157]) ).
tff(c_55188,plain,
p2 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_55174]) ).
tff(c_55185,plain,
( ( p2 = a3 )
| ~ incident(a3,a1a2) ),
inference(resolution,[status(thm)],[c_22,c_55157]) ).
tff(c_55252,plain,
( ( a3 = a1 )
| ~ incident(a3,a1a2) ),
inference(demodulation,[status(thm),theory(equality)],[c_55188,c_55185]) ).
tff(c_55253,plain,
~ incident(a3,a1a2),
inference(negUnitSimplification,[status(thm)],[c_120,c_55252]) ).
tff(c_40148,plain,
! [C_1416,A_1417] :
( ( s2 = C_1416 )
| ( s = A_1417 )
| ~ incident(s,C_1416)
| ~ incident(A_1417,s2)
| ~ incident(A_1417,C_1416) ),
inference(resolution,[status(thm)],[c_40,c_40042]) ).
tff(c_40169,plain,
! [A_1417] :
( ( s2 = s1 )
| ( s = A_1417 )
| ~ incident(A_1417,s2)
| ~ incident(A_1417,s1) ),
inference(resolution,[status(thm)],[c_38,c_40148]) ).
tff(c_40171,plain,
s2 = s1,
inference(splitLeft,[status(thm)],[c_40169]) ).
tff(c_40176,plain,
incident(a2,s1),
inference(demodulation,[status(thm),theory(equality)],[c_40171,c_46]) ).
tff(c_40209,plain,
! [C_1418,A_1419] :
( ( b1b2 = C_1418 )
| ( p3 = A_1419 )
| ~ incident(p3,C_1418)
| ~ incident(A_1419,b1b2)
| ~ incident(A_1419,C_1418) ),
inference(resolution,[status(thm)],[c_58,c_40042]) ).
tff(c_40217,plain,
! [A_1419] :
( ( b1b2 = a1a2 )
| ( p3 = A_1419 )
| ~ incident(A_1419,b1b2)
| ~ incident(A_1419,a1a2) ),
inference(resolution,[status(thm)],[c_56,c_40209]) ).
tff(c_40231,plain,
! [A_1420] :
( ( p3 = A_1420 )
| ~ incident(A_1420,b1b2)
| ~ incident(A_1420,a1a2) ),
inference(negUnitSimplification,[status(thm)],[c_116,c_40217]) ).
tff(c_40268,plain,
( ( p3 = b2 )
| ~ incident(b2,a1a2) ),
inference(resolution,[status(thm)],[c_28,c_40231]) ).
tff(c_40270,plain,
~ incident(b2,a1a2),
inference(splitLeft,[status(thm)],[c_40268]) ).
tff(c_42317,plain,
! [C_1489,A_1490] :
( ( s1 = C_1489 )
| ( a1 = A_1490 )
| ~ incident(a1,C_1489)
| ~ incident(A_1490,s1)
| ~ incident(A_1490,C_1489) ),
inference(resolution,[status(thm)],[c_44,c_40042]) ).
tff(c_42336,plain,
! [A_1490] :
( ( s1 = a1a2 )
| ( a1 = A_1490 )
| ~ incident(A_1490,s1)
| ~ incident(A_1490,a1a2) ),
inference(resolution,[status(thm)],[c_14,c_42317]) ).
tff(c_42366,plain,
s1 = a1a2,
inference(splitLeft,[status(thm)],[c_42336]) ).
tff(c_40175,plain,
incident(b2,s1),
inference(demodulation,[status(thm),theory(equality)],[c_40171,c_52]) ).
tff(c_42381,plain,
incident(b2,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_42366,c_40175]) ).
tff(c_42389,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_40270,c_42381]) ).
tff(c_42392,plain,
! [A_1493] :
( ( a1 = A_1493 )
| ~ incident(A_1493,s1)
| ~ incident(A_1493,a1a2) ),
inference(splitRight,[status(thm)],[c_42336]) ).
tff(c_42398,plain,
( ( a2 = a1 )
| ~ incident(a2,a1a2) ),
inference(resolution,[status(thm)],[c_40176,c_42392]) ).
tff(c_42421,plain,
a2 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_42398]) ).
tff(c_42423,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_122,c_42421]) ).
tff(c_42425,plain,
incident(b2,a1a2),
inference(splitRight,[status(thm)],[c_40268]) ).
tff(c_42603,plain,
! [C_1501,A_1502] :
( ( a2a3 = C_1501 )
| ( p1 = A_1502 )
| ~ incident(p1,C_1501)
| ~ incident(A_1502,a2a3)
| ~ incident(A_1502,C_1501) ),
inference(resolution,[status(thm)],[c_60,c_40042]) ).
tff(c_42622,plain,
! [A_1502] :
( ( b1b2 = a2a3 )
| ( p1 = A_1502 )
| ~ incident(A_1502,a2a3)
| ~ incident(A_1502,b1b2) ),
inference(resolution,[status(thm)],[c_39895,c_42603]) ).
tff(c_43036,plain,
b1b2 = a2a3,
inference(splitLeft,[status(thm)],[c_42622]) ).
tff(c_43042,plain,
incident(b1,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_43036,c_26]) ).
tff(c_43049,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_136,c_43042]) ).
tff(c_43052,plain,
! [A_1517] :
( ( p1 = A_1517 )
| ~ incident(A_1517,a2a3)
| ~ incident(A_1517,b1b2) ),
inference(splitRight,[status(thm)],[c_42622]) ).
tff(c_43066,plain,
( ( p1 = a3 )
| ~ incident(a3,a2a3) ),
inference(resolution,[status(thm)],[c_39898,c_43052]) ).
tff(c_43085,plain,
p1 = a3,
inference(demodulation,[status(thm),theory(equality)],[c_20,c_43066]) ).
tff(c_43098,plain,
incident(a3,b2b3),
inference(demodulation,[status(thm),theory(equality)],[c_43085,c_62]) ).
tff(c_42777,plain,
! [C_1508,A_1509] :
( ( b2b3 = C_1508 )
| ( b2 = A_1509 )
| ~ incident(b2,C_1508)
| ~ incident(A_1509,b2b3)
| ~ incident(A_1509,C_1508) ),
inference(resolution,[status(thm)],[c_30,c_40042]) ).
tff(c_42800,plain,
! [A_1509] :
( ( b2b3 = b1b2 )
| ( b2 = A_1509 )
| ~ incident(A_1509,b2b3)
| ~ incident(A_1509,b1b2) ),
inference(resolution,[status(thm)],[c_28,c_42777]) ).
tff(c_43236,plain,
b2b3 = b1b2,
inference(splitLeft,[status(thm)],[c_42800]) ).
tff(c_43242,plain,
incident(b3,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_43236,c_32]) ).
tff(c_42424,plain,
p3 = b2,
inference(splitRight,[status(thm)],[c_40268]) ).
tff(c_40228,plain,
! [A_1419] :
( ( p3 = A_1419 )
| ~ incident(A_1419,b1b2)
| ~ incident(A_1419,a1a2) ),
inference(negUnitSimplification,[status(thm)],[c_116,c_40217]) ).
tff(c_42426,plain,
! [A_1419] :
( ( b2 = A_1419 )
| ~ incident(A_1419,b1b2)
| ~ incident(A_1419,a1a2) ),
inference(demodulation,[status(thm),theory(equality)],[c_42424,c_40228]) ).
tff(c_43286,plain,
( ( b3 = b2 )
| ~ incident(b3,a1a2) ),
inference(resolution,[status(thm)],[c_43242,c_42426]) ).
tff(c_43299,plain,
b3 = b2,
inference(demodulation,[status(thm),theory(equality)],[c_39926,c_43286]) ).
tff(c_43301,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_118,c_43299]) ).
tff(c_43304,plain,
! [A_1525] :
( ( b2 = A_1525 )
| ~ incident(A_1525,b2b3)
| ~ incident(A_1525,b1b2) ),
inference(splitRight,[status(thm)],[c_42800]) ).
tff(c_43307,plain,
( ( b2 = a3 )
| ~ incident(a3,b1b2) ),
inference(resolution,[status(thm)],[c_43098,c_43304]) ).
tff(c_43324,plain,
b2 = a3,
inference(demodulation,[status(thm),theory(equality)],[c_39898,c_43307]) ).
tff(c_42615,plain,
! [A_1502] :
( ( b2b3 = a2a3 )
| ( p1 = A_1502 )
| ~ incident(A_1502,a2a3)
| ~ incident(A_1502,b2b3) ),
inference(resolution,[status(thm)],[c_62,c_42603]) ).
tff(c_42628,plain,
! [A_1503] :
( ( p1 = A_1503 )
| ~ incident(A_1503,a2a3)
| ~ incident(A_1503,b2b3) ),
inference(negUnitSimplification,[status(thm)],[c_115,c_42615]) ).
tff(c_42657,plain,
( ( p1 = b2 )
| ~ incident(b2,a2a3) ),
inference(resolution,[status(thm)],[c_30,c_42628]) ).
tff(c_42659,plain,
~ incident(b2,a2a3),
inference(splitLeft,[status(thm)],[c_42657]) ).
tff(c_43344,plain,
~ incident(a3,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_43324,c_42659]) ).
tff(c_43358,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_20,c_43344]) ).
tff(c_43359,plain,
p1 = b2,
inference(splitRight,[status(thm)],[c_42657]) ).
tff(c_39896,plain,
~ incident(p1,a1a2),
inference(splitLeft,[status(thm)],[c_135]) ).
tff(c_43368,plain,
~ incident(b2,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_43359,c_39896]) ).
tff(c_43375,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_42425,c_43368]) ).
tff(c_43378,plain,
! [A_1526] :
( ( s = A_1526 )
| ~ incident(A_1526,s2)
| ~ incident(A_1526,s1) ),
inference(splitRight,[status(thm)],[c_40169]) ).
tff(c_43407,plain,
( ( s = a2 )
| ~ incident(a2,s1) ),
inference(resolution,[status(thm)],[c_46,c_43378]) ).
tff(c_43432,plain,
~ incident(a2,s1),
inference(splitLeft,[status(thm)],[c_43407]) ).
tff(c_43406,plain,
( ( s = b2 )
| ~ incident(b2,s1) ),
inference(resolution,[status(thm)],[c_52,c_43378]) ).
tff(c_43408,plain,
~ incident(b2,s1),
inference(splitLeft,[status(thm)],[c_43406]) ).
tff(c_44035,plain,
! [C_1550,A_1551] :
( ( b2b3 = C_1550 )
| ( b3 = A_1551 )
| ~ incident(b3,C_1550)
| ~ incident(A_1551,b2b3)
| ~ incident(A_1551,C_1550) ),
inference(resolution,[status(thm)],[c_32,c_40042]) ).
tff(c_44060,plain,
! [A_1551] :
( ( b3b1 = b2b3 )
| ( b3 = A_1551 )
| ~ incident(A_1551,b2b3)
| ~ incident(A_1551,b3b1) ),
inference(resolution,[status(thm)],[c_34,c_44035]) ).
tff(c_47511,plain,
b3b1 = b2b3,
inference(splitLeft,[status(thm)],[c_44060]) ).
tff(c_43409,plain,
! [C_1527,A_1528] :
( ( s3 = C_1527 )
| ( s = A_1528 )
| ~ incident(s,C_1527)
| ~ incident(A_1528,s3)
| ~ incident(A_1528,C_1527) ),
inference(resolution,[status(thm)],[c_42,c_40042]) ).
tff(c_43429,plain,
! [A_1528] :
( ( s3 = s1 )
| ( s = A_1528 )
| ~ incident(A_1528,s3)
| ~ incident(A_1528,s1) ),
inference(resolution,[status(thm)],[c_38,c_43409]) ).
tff(c_43459,plain,
s3 = s1,
inference(splitLeft,[status(thm)],[c_43429]) ).
tff(c_43433,plain,
! [C_1529,A_1530] :
( ( a1a2 = C_1529 )
| ( b3 = A_1530 )
| ~ incident(b3,C_1529)
| ~ incident(A_1530,a1a2)
| ~ incident(A_1530,C_1529) ),
inference(resolution,[status(thm)],[c_39926,c_40042]) ).
tff(c_43456,plain,
! [A_1530] :
( ( s3 = a1a2 )
| ( b3 = A_1530 )
| ~ incident(A_1530,a1a2)
| ~ incident(A_1530,s3) ),
inference(resolution,[status(thm)],[c_54,c_43433]) ).
tff(c_43631,plain,
! [A_1530] :
( ( s1 = a1a2 )
| ( b3 = A_1530 )
| ~ incident(A_1530,a1a2)
| ~ incident(A_1530,s1) ),
inference(demodulation,[status(thm),theory(equality)],[c_43459,c_43459,c_43456]) ).
tff(c_43632,plain,
s1 = a1a2,
inference(splitLeft,[status(thm)],[c_43631]) ).
tff(c_43636,plain,
~ incident(a2,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_43632,c_43432]) ).
tff(c_43647,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_43636]) ).
tff(c_43650,plain,
! [A_1537] :
( ( b3 = A_1537 )
| ~ incident(A_1537,a1a2)
| ~ incident(A_1537,s1) ),
inference(splitRight,[status(thm)],[c_43631]) ).
tff(c_43670,plain,
( ( b3 = a1 )
| ~ incident(a1,a1a2) ),
inference(resolution,[status(thm)],[c_44,c_43650]) ).
tff(c_43688,plain,
b3 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_43670]) ).
tff(c_43502,plain,
! [C_1531,A_1532] :
( ( b3b1 = C_1531 )
| ( p2 = A_1532 )
| ~ incident(p2,C_1531)
| ~ incident(A_1532,b3b1)
| ~ incident(A_1532,C_1531) ),
inference(resolution,[status(thm)],[c_66,c_40042]) ).
tff(c_43510,plain,
! [A_1532] :
( ( b3b1 = a3a1 )
| ( p2 = A_1532 )
| ~ incident(A_1532,b3b1)
| ~ incident(A_1532,a3a1) ),
inference(resolution,[status(thm)],[c_64,c_43502]) ).
tff(c_43524,plain,
! [A_1533] :
( ( p2 = A_1533 )
| ~ incident(A_1533,b3b1)
| ~ incident(A_1533,a3a1) ),
inference(negUnitSimplification,[status(thm)],[c_114,c_43510]) ).
tff(c_43557,plain,
( ( p2 = b3 )
| ~ incident(b3,a3a1) ),
inference(resolution,[status(thm)],[c_34,c_43524]) ).
tff(c_43559,plain,
~ incident(b3,a3a1),
inference(splitLeft,[status(thm)],[c_43557]) ).
tff(c_43694,plain,
~ incident(a1,a3a1),
inference(demodulation,[status(thm),theory(equality)],[c_43688,c_43559]) ).
tff(c_43705,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_24,c_43694]) ).
tff(c_43707,plain,
incident(b3,a3a1),
inference(splitRight,[status(thm)],[c_43557]) ).
tff(c_43708,plain,
! [C_1538,A_1539] :
( ( a3a1 = C_1538 )
| ( a1 = A_1539 )
| ~ incident(a1,C_1538)
| ~ incident(A_1539,a3a1)
| ~ incident(A_1539,C_1538) ),
inference(resolution,[status(thm)],[c_24,c_40042]) ).
tff(c_43727,plain,
! [A_1539] :
( ( a3a1 = a1a2 )
| ( a1 = A_1539 )
| ~ incident(A_1539,a3a1)
| ~ incident(A_1539,a1a2) ),
inference(resolution,[status(thm)],[c_14,c_43708]) ).
tff(c_43848,plain,
a3a1 = a1a2,
inference(splitLeft,[status(thm)],[c_43727]) ).
tff(c_43706,plain,
p2 = b3,
inference(splitRight,[status(thm)],[c_43557]) ).
tff(c_43551,plain,
( ( p2 = a2 )
| ~ incident(a2,a3a1) ),
inference(resolution,[status(thm)],[c_39944,c_43524]) ).
tff(c_43792,plain,
( ( b3 = a2 )
| ~ incident(a2,a3a1) ),
inference(demodulation,[status(thm),theory(equality)],[c_43706,c_43551]) ).
tff(c_43793,plain,
~ incident(a2,a3a1),
inference(splitLeft,[status(thm)],[c_43792]) ).
tff(c_43860,plain,
~ incident(a2,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_43848,c_43793]) ).
tff(c_43870,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_43860]) ).
tff(c_43873,plain,
! [A_1545] :
( ( a1 = A_1545 )
| ~ incident(A_1545,a3a1)
| ~ incident(A_1545,a1a2) ),
inference(splitRight,[status(thm)],[c_43727]) ).
tff(c_43876,plain,
( ( b3 = a1 )
| ~ incident(b3,a1a2) ),
inference(resolution,[status(thm)],[c_43707,c_43873]) ).
tff(c_43893,plain,
b3 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_39926,c_43876]) ).
tff(c_43918,plain,
incident(a1,b2b3),
inference(demodulation,[status(thm),theory(equality)],[c_43893,c_32]) ).
tff(c_43927,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_126,c_43918]) ).
tff(c_43928,plain,
b3 = a2,
inference(splitRight,[status(thm)],[c_43792]) ).
tff(c_43462,plain,
incident(b3,s1),
inference(demodulation,[status(thm),theory(equality)],[c_43459,c_54]) ).
tff(c_43934,plain,
incident(a2,s1),
inference(demodulation,[status(thm),theory(equality)],[c_43928,c_43462]) ).
tff(c_43943,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_43432,c_43934]) ).
tff(c_44005,plain,
! [A_1549] :
( ( s = A_1549 )
| ~ incident(A_1549,s3)
| ~ incident(A_1549,s1) ),
inference(splitRight,[status(thm)],[c_43429]) ).
tff(c_44029,plain,
( ( s = b3 )
| ~ incident(b3,s1) ),
inference(resolution,[status(thm)],[c_54,c_44005]) ).
tff(c_44061,plain,
~ incident(b3,s1),
inference(splitLeft,[status(thm)],[c_44029]) ).
tff(c_44109,plain,
! [C_1553,A_1554] :
( ( b1b2 = C_1553 )
| ( p3 = A_1554 )
| ~ incident(p3,C_1553)
| ~ incident(A_1554,b1b2)
| ~ incident(A_1554,C_1553) ),
inference(resolution,[status(thm)],[c_58,c_40042]) ).
tff(c_44117,plain,
! [A_1554] :
( ( b1b2 = a1a2 )
| ( p3 = A_1554 )
| ~ incident(A_1554,b1b2)
| ~ incident(A_1554,a1a2) ),
inference(resolution,[status(thm)],[c_56,c_44109]) ).
tff(c_44131,plain,
! [A_1555] :
( ( p3 = A_1555 )
| ~ incident(A_1555,b1b2)
| ~ incident(A_1555,a1a2) ),
inference(negUnitSimplification,[status(thm)],[c_116,c_44117]) ).
tff(c_44167,plain,
( ( p3 = b1 )
| ~ incident(b1,a1a2) ),
inference(resolution,[status(thm)],[c_26,c_44131]) ).
tff(c_44169,plain,
~ incident(b1,a1a2),
inference(splitLeft,[status(thm)],[c_44167]) ).
tff(c_45836,plain,
! [C_1613,A_1614] :
( ( b3b1 = C_1613 )
| ( b3 = A_1614 )
| ~ incident(b3,C_1613)
| ~ incident(A_1614,b3b1)
| ~ incident(A_1614,C_1613) ),
inference(resolution,[status(thm)],[c_34,c_40042]) ).
tff(c_45857,plain,
! [A_1614] :
( ( b3b1 = a1a2 )
| ( b3 = A_1614 )
| ~ incident(A_1614,b3b1)
| ~ incident(A_1614,a1a2) ),
inference(resolution,[status(thm)],[c_39926,c_45836]) ).
tff(c_45865,plain,
b3b1 = a1a2,
inference(splitLeft,[status(thm)],[c_45857]) ).
tff(c_45894,plain,
incident(b1,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_45865,c_36]) ).
tff(c_45900,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_44169,c_45894]) ).
tff(c_46012,plain,
! [A_1618] :
( ( b3 = A_1618 )
| ~ incident(A_1618,b3b1)
| ~ incident(A_1618,a1a2) ),
inference(splitRight,[status(thm)],[c_45857]) ).
tff(c_46023,plain,
( ( b3 = a2 )
| ~ incident(a2,a1a2) ),
inference(resolution,[status(thm)],[c_39944,c_46012]) ).
tff(c_46041,plain,
b3 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_46023]) ).
tff(c_40170,plain,
! [A_1417] :
( ( s3 = s2 )
| ( s = A_1417 )
| ~ incident(A_1417,s2)
| ~ incident(A_1417,s3) ),
inference(resolution,[status(thm)],[c_42,c_40148]) ).
tff(c_44171,plain,
s3 = s2,
inference(splitLeft,[status(thm)],[c_40170]) ).
tff(c_44176,plain,
incident(b3,s2),
inference(demodulation,[status(thm),theory(equality)],[c_44171,c_54]) ).
tff(c_44162,plain,
( ( p3 = a3 )
| ~ incident(a3,a1a2) ),
inference(resolution,[status(thm)],[c_39898,c_44131]) ).
tff(c_44170,plain,
~ incident(a3,a1a2),
inference(splitLeft,[status(thm)],[c_44162]) ).
tff(c_44225,plain,
! [C_1556,A_1557] :
( ( s2 = C_1556 )
| ( a2 = A_1557 )
| ~ incident(a2,C_1556)
| ~ incident(A_1557,s2)
| ~ incident(A_1557,C_1556) ),
inference(resolution,[status(thm)],[c_46,c_40042]) ).
tff(c_44247,plain,
! [A_1557] :
( ( s2 = a1a2 )
| ( a2 = A_1557 )
| ~ incident(A_1557,s2)
| ~ incident(A_1557,a1a2) ),
inference(resolution,[status(thm)],[c_16,c_44225]) ).
tff(c_44252,plain,
s2 = a1a2,
inference(splitLeft,[status(thm)],[c_44247]) ).
tff(c_44177,plain,
incident(a3,s2),
inference(demodulation,[status(thm),theory(equality)],[c_44171,c_48]) ).
tff(c_44254,plain,
incident(a3,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_44252,c_44177]) ).
tff(c_44265,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_44170,c_44254]) ).
tff(c_44418,plain,
! [A_1561] :
( ( a2 = A_1561 )
| ~ incident(A_1561,s2)
| ~ incident(A_1561,a1a2) ),
inference(splitRight,[status(thm)],[c_44247]) ).
tff(c_44424,plain,
( ( b3 = a2 )
| ~ incident(b3,a1a2) ),
inference(resolution,[status(thm)],[c_44176,c_44418]) ).
tff(c_44446,plain,
b3 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_39926,c_44424]) ).
tff(c_44469,plain,
b2 != a2,
inference(demodulation,[status(thm),theory(equality)],[c_44446,c_118]) ).
tff(c_44057,plain,
! [A_1551] :
( ( s3 = b2b3 )
| ( b3 = A_1551 )
| ~ incident(A_1551,b2b3)
| ~ incident(A_1551,s3) ),
inference(resolution,[status(thm)],[c_54,c_44035]) ).
tff(c_44680,plain,
! [A_1551] :
( ( s2 = b2b3 )
| ( a2 = A_1551 )
| ~ incident(A_1551,b2b3)
| ~ incident(A_1551,s2) ),
inference(demodulation,[status(thm),theory(equality)],[c_44171,c_44446,c_44171,c_44057]) ).
tff(c_44681,plain,
s2 = b2b3,
inference(splitLeft,[status(thm)],[c_44680]) ).
tff(c_44688,plain,
incident(a3,b2b3),
inference(demodulation,[status(thm),theory(equality)],[c_44681,c_44177]) ).
tff(c_44689,plain,
s3 = b2b3,
inference(demodulation,[status(thm),theory(equality)],[c_44681,c_44171]) ).
tff(c_40130,plain,
! [C_1413,A_1415] :
( ( s3 = C_1413 )
| ( b3 = A_1415 )
| ~ incident(b3,C_1413)
| ~ incident(A_1415,s3)
| ~ incident(A_1415,C_1413) ),
inference(resolution,[status(thm)],[c_54,c_40042]) ).
tff(c_45411,plain,
! [C_1596,A_1597] :
( ( b2b3 = C_1596 )
| ( a2 = A_1597 )
| ~ incident(a2,C_1596)
| ~ incident(A_1597,b2b3)
| ~ incident(A_1597,C_1596) ),
inference(demodulation,[status(thm),theory(equality)],[c_44689,c_44446,c_44446,c_44689,c_40130]) ).
tff(c_45425,plain,
! [A_1597] :
( ( b2b3 = a2a3 )
| ( a2 = A_1597 )
| ~ incident(A_1597,b2b3)
| ~ incident(A_1597,a2a3) ),
inference(resolution,[status(thm)],[c_18,c_45411]) ).
tff(c_45472,plain,
! [A_1599] :
( ( a2 = A_1599 )
| ~ incident(A_1599,b2b3)
| ~ incident(A_1599,a2a3) ),
inference(negUnitSimplification,[status(thm)],[c_115,c_45425]) ).
tff(c_45475,plain,
( ( a3 = a2 )
| ~ incident(a3,a2a3) ),
inference(resolution,[status(thm)],[c_44688,c_45472]) ).
tff(c_45492,plain,
a3 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_20,c_45475]) ).
tff(c_45494,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_121,c_45492]) ).
tff(c_45497,plain,
! [A_1600] :
( ( a2 = A_1600 )
| ~ incident(A_1600,b2b3)
| ~ incident(A_1600,s2) ),
inference(splitRight,[status(thm)],[c_44680]) ).
tff(c_45514,plain,
( ( b2 = a2 )
| ~ incident(b2,b2b3) ),
inference(resolution,[status(thm)],[c_52,c_45497]) ).
tff(c_45530,plain,
b2 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_30,c_45514]) ).
tff(c_45532,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_44469,c_45530]) ).
tff(c_45535,plain,
! [A_1601] :
( ( s = A_1601 )
| ~ incident(A_1601,s2)
| ~ incident(A_1601,s3) ),
inference(splitRight,[status(thm)],[c_40170]) ).
tff(c_45559,plain,
( ( s = b3 )
| ~ incident(b3,s2) ),
inference(resolution,[status(thm)],[c_54,c_45535]) ).
tff(c_45565,plain,
~ incident(b3,s2),
inference(splitLeft,[status(thm)],[c_45559]) ).
tff(c_46052,plain,
~ incident(a2,s2),
inference(demodulation,[status(thm),theory(equality)],[c_46041,c_45565]) ).
tff(c_46066,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_46,c_46052]) ).
tff(c_46067,plain,
s = b3,
inference(splitRight,[status(thm)],[c_45559]) ).
tff(c_46076,plain,
incident(b3,s1),
inference(demodulation,[status(thm),theory(equality)],[c_46067,c_38]) ).
tff(c_46080,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_44061,c_46076]) ).
tff(c_46082,plain,
incident(a3,a1a2),
inference(splitRight,[status(thm)],[c_44162]) ).
tff(c_44056,plain,
! [A_1551] :
( ( b2b3 = a1a2 )
| ( b3 = A_1551 )
| ~ incident(A_1551,b2b3)
| ~ incident(A_1551,a1a2) ),
inference(resolution,[status(thm)],[c_39926,c_44035]) ).
tff(c_44063,plain,
b2b3 = a1a2,
inference(splitLeft,[status(thm)],[c_44056]) ).
tff(c_44066,plain,
~ incident(a1,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_44063,c_126]) ).
tff(c_44074,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_44066]) ).
tff(c_44077,plain,
! [A_1552] :
( ( b3 = A_1552 )
| ~ incident(A_1552,b2b3)
| ~ incident(A_1552,a1a2) ),
inference(splitRight,[status(thm)],[c_44056]) ).
tff(c_44094,plain,
( ( b3 = b2 )
| ~ incident(b2,a1a2) ),
inference(resolution,[status(thm)],[c_30,c_44077]) ).
tff(c_44108,plain,
~ incident(b2,a1a2),
inference(negUnitSimplification,[status(thm)],[c_118,c_44094]) ).
tff(c_46765,plain,
! [C_1641,A_1642] :
( ( s3 = C_1641 )
| ( b3 = A_1642 )
| ~ incident(b3,C_1641)
| ~ incident(A_1642,s3)
| ~ incident(A_1642,C_1641) ),
inference(resolution,[status(thm)],[c_54,c_40042]) ).
tff(c_46786,plain,
! [A_1642] :
( ( s3 = a1a2 )
| ( b3 = A_1642 )
| ~ incident(A_1642,s3)
| ~ incident(A_1642,a1a2) ),
inference(resolution,[status(thm)],[c_39926,c_46765]) ).
tff(c_46806,plain,
s3 = a1a2,
inference(splitLeft,[status(thm)],[c_46786]) ).
tff(c_43944,plain,
! [A_1528] :
( ( s = A_1528 )
| ~ incident(A_1528,s3)
| ~ incident(A_1528,s1) ),
inference(splitRight,[status(thm)],[c_43429]) ).
tff(c_46894,plain,
! [A_1646] :
( ( s = A_1646 )
| ~ incident(A_1646,a1a2)
| ~ incident(A_1646,s1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46806,c_43944]) ).
tff(c_46908,plain,
( ( s = a1 )
| ~ incident(a1,a1a2) ),
inference(resolution,[status(thm)],[c_44,c_46894]) ).
tff(c_46924,plain,
s = a1,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_46908]) ).
tff(c_47113,plain,
! [A_1417] :
( ( s2 = a1a2 )
| ( a1 = A_1417 )
| ~ incident(A_1417,s2)
| ~ incident(A_1417,a1a2) ),
inference(demodulation,[status(thm),theory(equality)],[c_46806,c_46924,c_46806,c_40170]) ).
tff(c_47114,plain,
s2 = a1a2,
inference(splitLeft,[status(thm)],[c_47113]) ).
tff(c_47122,plain,
incident(b2,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_47114,c_52]) ).
tff(c_47127,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_44108,c_47122]) ).
tff(c_47151,plain,
! [A_1655] :
( ( a1 = A_1655 )
| ~ incident(A_1655,s2)
| ~ incident(A_1655,a1a2) ),
inference(splitRight,[status(thm)],[c_47113]) ).
tff(c_47168,plain,
( ( a2 = a1 )
| ~ incident(a2,a1a2) ),
inference(resolution,[status(thm)],[c_46,c_47151]) ).
tff(c_47182,plain,
a2 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_47168]) ).
tff(c_47184,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_122,c_47182]) ).
tff(c_47251,plain,
! [A_1658] :
( ( b3 = A_1658 )
| ~ incident(A_1658,s3)
| ~ incident(A_1658,a1a2) ),
inference(splitRight,[status(thm)],[c_46786]) ).
tff(c_47265,plain,
( ( b3 = a3 )
| ~ incident(a3,a1a2) ),
inference(resolution,[status(thm)],[c_48,c_47251]) ).
tff(c_47281,plain,
b3 = a3,
inference(demodulation,[status(thm),theory(equality)],[c_46082,c_47265]) ).
tff(c_46507,plain,
! [C_1630,A_1631] :
( ( b3b1 = C_1630 )
| ( b1 = A_1631 )
| ~ incident(b1,C_1630)
| ~ incident(A_1631,b3b1)
| ~ incident(A_1631,C_1630) ),
inference(resolution,[status(thm)],[c_36,c_40042]) ).
tff(c_46526,plain,
! [A_1631] :
( ( b3b1 = b1b2 )
| ( b1 = A_1631 )
| ~ incident(A_1631,b3b1)
| ~ incident(A_1631,b1b2) ),
inference(resolution,[status(thm)],[c_26,c_46507]) ).
tff(c_46695,plain,
b3b1 = b1b2,
inference(splitLeft,[status(thm)],[c_46526]) ).
tff(c_46081,plain,
p3 = a3,
inference(splitRight,[status(thm)],[c_44162]) ).
tff(c_46139,plain,
! [A_1621] :
( ~ incident(p2,A_1621)
| ~ incident(p1,A_1621)
| ~ incident(a3,A_1621) ),
inference(demodulation,[status(thm),theory(equality)],[c_46081,c_125]) ).
tff(c_46163,plain,
( ~ incident(p1,b3b1)
| ~ incident(a3,b3b1) ),
inference(resolution,[status(thm)],[c_66,c_46139]) ).
tff(c_46164,plain,
~ incident(a3,b3b1),
inference(splitLeft,[status(thm)],[c_46163]) ).
tff(c_46714,plain,
~ incident(a3,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_46695,c_46164]) ).
tff(c_46725,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_39898,c_46714]) ).
tff(c_46728,plain,
! [A_1640] :
( ( b1 = A_1640 )
| ~ incident(A_1640,b3b1)
| ~ incident(A_1640,b1b2) ),
inference(splitRight,[status(thm)],[c_46526]) ).
tff(c_46748,plain,
( ( b3 = b1 )
| ~ incident(b3,b1b2) ),
inference(resolution,[status(thm)],[c_34,c_46728]) ).
tff(c_46763,plain,
~ incident(b3,b1b2),
inference(negUnitSimplification,[status(thm)],[c_117,c_46748]) ).
tff(c_47306,plain,
~ incident(a3,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_47281,c_46763]) ).
tff(c_47323,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_39898,c_47306]) ).
tff(c_47325,plain,
incident(a3,b3b1),
inference(splitRight,[status(thm)],[c_46163]) ).
tff(c_43946,plain,
! [C_1546,A_1547] :
( ( b3b1 = C_1546 )
| ( p2 = A_1547 )
| ~ incident(p2,C_1546)
| ~ incident(A_1547,b3b1)
| ~ incident(A_1547,C_1546) ),
inference(resolution,[status(thm)],[c_66,c_40042]) ).
tff(c_43954,plain,
! [A_1547] :
( ( b3b1 = a3a1 )
| ( p2 = A_1547 )
| ~ incident(A_1547,b3b1)
| ~ incident(A_1547,a3a1) ),
inference(resolution,[status(thm)],[c_64,c_43946]) ).
tff(c_43965,plain,
! [A_1547] :
( ( p2 = A_1547 )
| ~ incident(A_1547,b3b1)
| ~ incident(A_1547,a3a1) ),
inference(negUnitSimplification,[status(thm)],[c_114,c_43954]) ).
tff(c_47328,plain,
( ( p2 = a3 )
| ~ incident(a3,a3a1) ),
inference(resolution,[status(thm)],[c_47325,c_43965]) ).
tff(c_47339,plain,
p2 = a3,
inference(demodulation,[status(thm),theory(equality)],[c_22,c_47328]) ).
tff(c_39894,plain,
~ incident(p2,b1b2),
inference(splitRight,[status(thm)],[c_131]) ).
tff(c_47384,plain,
~ incident(a3,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_47339,c_39894]) ).
tff(c_47390,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_39898,c_47384]) ).
tff(c_47391,plain,
p3 = b1,
inference(splitRight,[status(thm)],[c_44167]) ).
tff(c_47451,plain,
! [A_1664] :
( ~ incident(p2,A_1664)
| ~ incident(p1,A_1664)
| ~ incident(b1,A_1664) ),
inference(demodulation,[status(thm),theory(equality)],[c_47391,c_125]) ).
tff(c_47465,plain,
( ~ incident(p1,b3b1)
| ~ incident(b1,b3b1) ),
inference(resolution,[status(thm)],[c_66,c_47451]) ).
tff(c_47475,plain,
~ incident(p1,b3b1),
inference(demodulation,[status(thm),theory(equality)],[c_36,c_47465]) ).
tff(c_47512,plain,
~ incident(p1,b2b3),
inference(demodulation,[status(thm),theory(equality)],[c_47511,c_47475]) ).
tff(c_47523,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_62,c_47512]) ).
tff(c_47549,plain,
! [A_1668] :
( ( b3 = A_1668 )
| ~ incident(A_1668,b2b3)
| ~ incident(A_1668,b3b1) ),
inference(splitRight,[status(thm)],[c_44060]) ).
tff(c_47576,plain,
( ( b3 = a2 )
| ~ incident(a2,b2b3) ),
inference(resolution,[status(thm)],[c_39944,c_47549]) ).
tff(c_47585,plain,
~ incident(a2,b2b3),
inference(splitLeft,[status(thm)],[c_47576]) ).
tff(c_47620,plain,
s3 = b2b3,
inference(splitLeft,[status(thm)],[c_44057]) ).
tff(c_47764,plain,
! [A_1417] :
( ( s2 = b2b3 )
| ( s = A_1417 )
| ~ incident(A_1417,s2)
| ~ incident(A_1417,b2b3) ),
inference(demodulation,[status(thm),theory(equality)],[c_47620,c_47620,c_40170]) ).
tff(c_47765,plain,
s2 = b2b3,
inference(splitLeft,[status(thm)],[c_47764]) ).
tff(c_47772,plain,
incident(a2,b2b3),
inference(demodulation,[status(thm),theory(equality)],[c_47765,c_46]) ).
tff(c_47777,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_47585,c_47772]) ).
tff(c_47812,plain,
! [A_1675] :
( ( s = A_1675 )
| ~ incident(A_1675,s2)
| ~ incident(A_1675,b2b3) ),
inference(splitRight,[status(thm)],[c_47764]) ).
tff(c_47826,plain,
( ( s = b2 )
| ~ incident(b2,b2b3) ),
inference(resolution,[status(thm)],[c_52,c_47812]) ).
tff(c_47842,plain,
s = b2,
inference(demodulation,[status(thm),theory(equality)],[c_30,c_47826]) ).
tff(c_47852,plain,
incident(b2,s1),
inference(demodulation,[status(thm),theory(equality)],[c_47842,c_38]) ).
tff(c_47857,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_43408,c_47852]) ).
tff(c_47860,plain,
! [A_1676] :
( ( b3 = A_1676 )
| ~ incident(A_1676,b2b3)
| ~ incident(A_1676,s3) ),
inference(splitRight,[status(thm)],[c_44057]) ).
tff(c_47888,plain,
( ( b3 = a3 )
| ~ incident(a3,b2b3) ),
inference(resolution,[status(thm)],[c_48,c_47860]) ).
tff(c_47917,plain,
~ incident(a3,b2b3),
inference(splitLeft,[status(thm)],[c_47888]) ).
tff(c_48300,plain,
! [C_1691,A_1692] :
( ( a2a3 = C_1691 )
| ( p1 = A_1692 )
| ~ incident(p1,C_1691)
| ~ incident(A_1692,a2a3)
| ~ incident(A_1692,C_1691) ),
inference(resolution,[status(thm)],[c_60,c_40042]) ).
tff(c_48312,plain,
! [A_1692] :
( ( b2b3 = a2a3 )
| ( p1 = A_1692 )
| ~ incident(A_1692,a2a3)
| ~ incident(A_1692,b2b3) ),
inference(resolution,[status(thm)],[c_62,c_48300]) ).
tff(c_48325,plain,
! [A_1693] :
( ( p1 = A_1693 )
| ~ incident(A_1693,a2a3)
| ~ incident(A_1693,b2b3) ),
inference(negUnitSimplification,[status(thm)],[c_115,c_48312]) ).
tff(c_48354,plain,
( ( p1 = b2 )
| ~ incident(b2,a2a3) ),
inference(resolution,[status(thm)],[c_30,c_48325]) ).
tff(c_48356,plain,
~ incident(b2,a2a3),
inference(splitLeft,[status(thm)],[c_48354]) ).
tff(c_48403,plain,
! [C_1695,A_1696] :
( ( b2b3 = C_1695 )
| ( p1 = A_1696 )
| ~ incident(p1,C_1695)
| ~ incident(A_1696,b2b3)
| ~ incident(A_1696,C_1695) ),
inference(resolution,[status(thm)],[c_62,c_40042]) ).
tff(c_48422,plain,
! [A_1696] :
( ( b2b3 = b1b2 )
| ( p1 = A_1696 )
| ~ incident(A_1696,b2b3)
| ~ incident(A_1696,b1b2) ),
inference(resolution,[status(thm)],[c_39895,c_48403]) ).
tff(c_48523,plain,
b2b3 = b1b2,
inference(splitLeft,[status(thm)],[c_48422]) ).
tff(c_48527,plain,
~ incident(a3,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_48523,c_47917]) ).
tff(c_48546,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_39898,c_48527]) ).
tff(c_48605,plain,
! [A_1703] :
( ( p1 = A_1703 )
| ~ incident(A_1703,b2b3)
| ~ incident(A_1703,b1b2) ),
inference(splitRight,[status(thm)],[c_48422]) ).
tff(c_48622,plain,
( ( p1 = b2 )
| ~ incident(b2,b1b2) ),
inference(resolution,[status(thm)],[c_30,c_48605]) ).
tff(c_48636,plain,
p1 = b2,
inference(demodulation,[status(thm),theory(equality)],[c_28,c_48622]) ).
tff(c_48648,plain,
incident(b2,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_48636,c_60]) ).
tff(c_48653,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_48356,c_48648]) ).
tff(c_48654,plain,
p1 = b2,
inference(splitRight,[status(thm)],[c_48354]) ).
tff(c_48319,plain,
! [A_1692] :
( ( b1b2 = a2a3 )
| ( p1 = A_1692 )
| ~ incident(A_1692,a2a3)
| ~ incident(A_1692,b1b2) ),
inference(resolution,[status(thm)],[c_39895,c_48300]) ).
tff(c_48785,plain,
! [A_1692] :
( ( b1b2 = a2a3 )
| ( b2 = A_1692 )
| ~ incident(A_1692,a2a3)
| ~ incident(A_1692,b1b2) ),
inference(demodulation,[status(thm),theory(equality)],[c_48654,c_48319]) ).
tff(c_48786,plain,
b1b2 = a2a3,
inference(splitLeft,[status(thm)],[c_48785]) ).
tff(c_47890,plain,
! [C_1677,A_1678] :
( ( b1b2 = C_1677 )
| ( b1 = A_1678 )
| ~ incident(b1,C_1677)
| ~ incident(A_1678,b1b2)
| ~ incident(A_1678,C_1677) ),
inference(resolution,[status(thm)],[c_26,c_40042]) ).
tff(c_47916,plain,
! [A_1678] :
( ( b3b1 = b1b2 )
| ( b1 = A_1678 )
| ~ incident(A_1678,b1b2)
| ~ incident(A_1678,b3b1) ),
inference(resolution,[status(thm)],[c_36,c_47890]) ).
tff(c_48208,plain,
b3b1 = b1b2,
inference(splitLeft,[status(thm)],[c_47916]) ).
tff(c_47969,plain,
! [C_1680,A_1681] :
( ( s2 = C_1680 )
| ( a2 = A_1681 )
| ~ incident(a2,C_1680)
| ~ incident(A_1681,s2)
| ~ incident(A_1681,C_1680) ),
inference(resolution,[status(thm)],[c_46,c_40042]) ).
tff(c_47990,plain,
! [A_1681] :
( ( s2 = b3b1 )
| ( a2 = A_1681 )
| ~ incident(A_1681,s2)
| ~ incident(A_1681,b3b1) ),
inference(resolution,[status(thm)],[c_39944,c_47969]) ).
tff(c_48026,plain,
s2 = b3b1,
inference(splitLeft,[status(thm)],[c_47990]) ).
tff(c_48033,plain,
incident(b2,b3b1),
inference(demodulation,[status(thm),theory(equality)],[c_48026,c_52]) ).
tff(c_47524,plain,
! [A_1551] :
( ( b3 = A_1551 )
| ~ incident(A_1551,b2b3)
| ~ incident(A_1551,b3b1) ),
inference(splitRight,[status(thm)],[c_44060]) ).
tff(c_48067,plain,
( ( b3 = b2 )
| ~ incident(b2,b2b3) ),
inference(resolution,[status(thm)],[c_48033,c_47524]) ).
tff(c_48083,plain,
b3 = b2,
inference(demodulation,[status(thm),theory(equality)],[c_30,c_48067]) ).
tff(c_48085,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_118,c_48083]) ).
tff(c_48117,plain,
! [A_1685] :
( ( a2 = A_1685 )
| ~ incident(A_1685,s2)
| ~ incident(A_1685,b3b1) ),
inference(splitRight,[status(thm)],[c_47990]) ).
tff(c_48142,plain,
( ( b2 = a2 )
| ~ incident(b2,b3b1) ),
inference(resolution,[status(thm)],[c_52,c_48117]) ).
tff(c_48181,plain,
~ incident(b2,b3b1),
inference(splitLeft,[status(thm)],[c_48142]) ).
tff(c_48209,plain,
~ incident(b2,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_48208,c_48181]) ).
tff(c_48228,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_28,c_48209]) ).
tff(c_48263,plain,
! [A_1690] :
( ( b1 = A_1690 )
| ~ incident(A_1690,b1b2)
| ~ incident(A_1690,b3b1) ),
inference(splitRight,[status(thm)],[c_47916]) ).
tff(c_48290,plain,
( ( b1 = a2 )
| ~ incident(a2,b1b2) ),
inference(resolution,[status(thm)],[c_39944,c_48263]) ).
tff(c_48299,plain,
~ incident(a2,b1b2),
inference(splitLeft,[status(thm)],[c_48290]) ).
tff(c_48787,plain,
~ incident(a2,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_48786,c_48299]) ).
tff(c_48810,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_18,c_48787]) ).
tff(c_48871,plain,
! [A_1711] :
( ( b2 = A_1711 )
| ~ incident(A_1711,a2a3)
| ~ incident(A_1711,b1b2) ),
inference(splitRight,[status(thm)],[c_48785]) ).
tff(c_48882,plain,
( ( b2 = a3 )
| ~ incident(a3,a2a3) ),
inference(resolution,[status(thm)],[c_39898,c_48871]) ).
tff(c_48897,plain,
b2 = a3,
inference(demodulation,[status(thm),theory(equality)],[c_20,c_48882]) ).
tff(c_48947,plain,
incident(a3,b2b3),
inference(demodulation,[status(thm),theory(equality)],[c_48897,c_30]) ).
tff(c_48954,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_47917,c_48947]) ).
tff(c_48955,plain,
b1 = a2,
inference(splitRight,[status(thm)],[c_48290]) ).
tff(c_48974,plain,
~ incident(a2,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_48955,c_136]) ).
tff(c_48984,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_18,c_48974]) ).
tff(c_48985,plain,
b2 = a2,
inference(splitRight,[status(thm)],[c_48142]) ).
tff(c_49014,plain,
~ incident(a2,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_48985,c_44108]) ).
tff(c_49024,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_49014]) ).
tff(c_49025,plain,
b3 = a3,
inference(splitRight,[status(thm)],[c_47888]) ).
tff(c_43968,plain,
! [A_1548] :
( ( p2 = A_1548 )
| ~ incident(A_1548,b3b1)
| ~ incident(A_1548,a3a1) ),
inference(negUnitSimplification,[status(thm)],[c_114,c_43954]) ).
tff(c_44001,plain,
( ( p2 = b3 )
| ~ incident(b3,a3a1) ),
inference(resolution,[status(thm)],[c_34,c_43968]) ).
tff(c_44003,plain,
~ incident(b3,a3a1),
inference(splitLeft,[status(thm)],[c_44001]) ).
tff(c_49032,plain,
~ incident(a3,a3a1),
inference(demodulation,[status(thm),theory(equality)],[c_49025,c_44003]) ).
tff(c_49043,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_22,c_49032]) ).
tff(c_49044,plain,
b3 = a2,
inference(splitRight,[status(thm)],[c_47576]) ).
tff(c_49055,plain,
incident(a2,b2b3),
inference(demodulation,[status(thm),theory(equality)],[c_49044,c_32]) ).
tff(c_49366,plain,
! [C_1723,A_1724] :
( ( a2a3 = C_1723 )
| ( a2 = A_1724 )
| ~ incident(a2,C_1723)
| ~ incident(A_1724,a2a3)
| ~ incident(A_1724,C_1723) ),
inference(resolution,[status(thm)],[c_18,c_40042]) ).
tff(c_49368,plain,
! [A_1724] :
( ( b2b3 = a2a3 )
| ( a2 = A_1724 )
| ~ incident(A_1724,a2a3)
| ~ incident(A_1724,b2b3) ),
inference(resolution,[status(thm)],[c_49055,c_49366]) ).
tff(c_49397,plain,
! [A_1725] :
( ( a2 = A_1725 )
| ~ incident(A_1725,a2a3)
| ~ incident(A_1725,b2b3) ),
inference(negUnitSimplification,[status(thm)],[c_115,c_49368]) ).
tff(c_49411,plain,
( ( p1 = a2 )
| ~ incident(p1,a2a3) ),
inference(resolution,[status(thm)],[c_62,c_49397]) ).
tff(c_49427,plain,
p1 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_60,c_49411]) ).
tff(c_49431,plain,
~ incident(a2,b3b1),
inference(demodulation,[status(thm),theory(equality)],[c_49427,c_47475]) ).
tff(c_49442,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_39944,c_49431]) ).
tff(c_49443,plain,
s = b3,
inference(splitRight,[status(thm)],[c_44029]) ).
tff(c_49450,plain,
incident(b3,s2),
inference(demodulation,[status(thm),theory(equality)],[c_49443,c_40]) ).
tff(c_49451,plain,
incident(b3,s1),
inference(demodulation,[status(thm),theory(equality)],[c_49443,c_38]) ).
tff(c_49512,plain,
! [C_1726,A_1727] :
( ( s2 = C_1726 )
| ( a2 = A_1727 )
| ~ incident(a2,C_1726)
| ~ incident(A_1727,s2)
| ~ incident(A_1727,C_1726) ),
inference(resolution,[status(thm)],[c_46,c_40042]) ).
tff(c_49533,plain,
! [A_1727] :
( ( s2 = b3b1 )
| ( a2 = A_1727 )
| ~ incident(A_1727,s2)
| ~ incident(A_1727,b3b1) ),
inference(resolution,[status(thm)],[c_39944,c_49512]) ).
tff(c_49682,plain,
s2 = b3b1,
inference(splitLeft,[status(thm)],[c_49533]) ).
tff(c_43377,plain,
s2 != s1,
inference(splitRight,[status(thm)],[c_40169]) ).
tff(c_49686,plain,
s1 != b3b1,
inference(demodulation,[status(thm),theory(equality)],[c_49682,c_43377]) ).
tff(c_49715,plain,
! [C_1733,A_1734] :
( ( b3b1 = C_1733 )
| ( b1 = A_1734 )
| ~ incident(b1,C_1733)
| ~ incident(A_1734,b3b1)
| ~ incident(A_1734,C_1733) ),
inference(resolution,[status(thm)],[c_36,c_40042]) ).
tff(c_49725,plain,
! [A_1734] :
( ( s1 = b3b1 )
| ( b1 = A_1734 )
| ~ incident(A_1734,b3b1)
| ~ incident(A_1734,s1) ),
inference(resolution,[status(thm)],[c_50,c_49715]) ).
tff(c_49740,plain,
! [A_1735] :
( ( b1 = A_1735 )
| ~ incident(A_1735,b3b1)
| ~ incident(A_1735,s1) ),
inference(negUnitSimplification,[status(thm)],[c_49686,c_49725]) ).
tff(c_49743,plain,
( ( b3 = b1 )
| ~ incident(b3,b3b1) ),
inference(resolution,[status(thm)],[c_49451,c_49740]) ).
tff(c_49760,plain,
b3 = b1,
inference(demodulation,[status(thm),theory(equality)],[c_34,c_49743]) ).
tff(c_49762,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_117,c_49760]) ).
tff(c_49765,plain,
! [A_1736] :
( ( a2 = A_1736 )
| ~ incident(A_1736,s2)
| ~ incident(A_1736,b3b1) ),
inference(splitRight,[status(thm)],[c_49533]) ).
tff(c_49768,plain,
( ( b3 = a2 )
| ~ incident(b3,b3b1) ),
inference(resolution,[status(thm)],[c_49450,c_49765]) ).
tff(c_49785,plain,
b3 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_34,c_49768]) ).
tff(c_49807,plain,
incident(a2,s1),
inference(demodulation,[status(thm),theory(equality)],[c_49785,c_49451]) ).
tff(c_49820,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_43432,c_49807]) ).
tff(c_49821,plain,
p2 = b3,
inference(splitRight,[status(thm)],[c_44001]) ).
tff(c_43995,plain,
( ( p2 = a2 )
| ~ incident(a2,a3a1) ),
inference(resolution,[status(thm)],[c_39944,c_43968]) ).
tff(c_49886,plain,
( ( b3 = a2 )
| ~ incident(a2,a3a1) ),
inference(demodulation,[status(thm),theory(equality)],[c_49821,c_43995]) ).
tff(c_49887,plain,
~ incident(a2,a3a1),
inference(splitLeft,[status(thm)],[c_49886]) ).
tff(c_51902,plain,
! [C_1801,A_1802] :
( ( a1a2 = C_1801 )
| ( a2 = A_1802 )
| ~ incident(a2,C_1801)
| ~ incident(A_1802,a1a2)
| ~ incident(A_1802,C_1801) ),
inference(resolution,[status(thm)],[c_16,c_40042]) ).
tff(c_51923,plain,
! [A_1802] :
( ( b3b1 = a1a2 )
| ( a2 = A_1802 )
| ~ incident(A_1802,a1a2)
| ~ incident(A_1802,b3b1) ),
inference(resolution,[status(thm)],[c_39944,c_51902]) ).
tff(c_52016,plain,
b3b1 = a1a2,
inference(splitLeft,[status(thm)],[c_51923]) ).
tff(c_49823,plain,
! [A_1547] :
( ( b3 = A_1547 )
| ~ incident(A_1547,b3b1)
| ~ incident(A_1547,a3a1) ),
inference(demodulation,[status(thm),theory(equality)],[c_49821,c_43965]) ).
tff(c_52043,plain,
! [A_1806] :
( ( b3 = A_1806 )
| ~ incident(A_1806,a1a2)
| ~ incident(A_1806,a3a1) ),
inference(demodulation,[status(thm),theory(equality)],[c_52016,c_49823]) ).
tff(c_52060,plain,
( ( b3 = a1 )
| ~ incident(a1,a1a2) ),
inference(resolution,[status(thm)],[c_24,c_52043]) ).
tff(c_52074,plain,
b3 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_52060]) ).
tff(c_49915,plain,
! [A_1741] :
( ( s = A_1741 )
| ~ incident(A_1741,s3)
| ~ incident(A_1741,s1) ),
inference(splitRight,[status(thm)],[c_43429]) ).
tff(c_49939,plain,
( ( s = b3 )
| ~ incident(b3,s1) ),
inference(resolution,[status(thm)],[c_54,c_49915]) ).
tff(c_49945,plain,
~ incident(b3,s1),
inference(splitLeft,[status(thm)],[c_49939]) ).
tff(c_52076,plain,
~ incident(a1,s1),
inference(demodulation,[status(thm),theory(equality)],[c_52074,c_49945]) ).
tff(c_52093,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_44,c_52076]) ).
tff(c_52119,plain,
! [A_1809] :
( ( a2 = A_1809 )
| ~ incident(A_1809,a1a2)
| ~ incident(A_1809,b3b1) ),
inference(splitRight,[status(thm)],[c_51923]) ).
tff(c_52136,plain,
( ( b3 = a2 )
| ~ incident(b3,a1a2) ),
inference(resolution,[status(thm)],[c_34,c_52119]) ).
tff(c_52150,plain,
b3 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_39926,c_52136]) ).
tff(c_49822,plain,
incident(b3,a3a1),
inference(splitRight,[status(thm)],[c_44001]) ).
tff(c_52158,plain,
incident(a2,a3a1),
inference(demodulation,[status(thm),theory(equality)],[c_52150,c_49822]) ).
tff(c_52169,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_49887,c_52158]) ).
tff(c_52170,plain,
s = b3,
inference(splitRight,[status(thm)],[c_49939]) ).
tff(c_52208,plain,
incident(b3,s2),
inference(demodulation,[status(thm),theory(equality)],[c_52170,c_40]) ).
tff(c_49856,plain,
! [C_1738,A_1739] :
( ( b2b3 = C_1738 )
| ( b3 = A_1739 )
| ~ incident(b3,C_1738)
| ~ incident(A_1739,b2b3)
| ~ incident(A_1739,C_1738) ),
inference(resolution,[status(thm)],[c_32,c_40042]) ).
tff(c_49880,plain,
! [A_1739] :
( ( b2b3 = a1a2 )
| ( b3 = A_1739 )
| ~ incident(A_1739,b2b3)
| ~ incident(A_1739,a1a2) ),
inference(resolution,[status(thm)],[c_39926,c_49856]) ).
tff(c_52341,plain,
b2b3 = a1a2,
inference(splitLeft,[status(thm)],[c_49880]) ).
tff(c_52344,plain,
~ incident(a1,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_52341,c_126]) ).
tff(c_52352,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_52344]) ).
tff(c_52355,plain,
! [A_1815] :
( ( b3 = A_1815 )
| ~ incident(A_1815,b2b3)
| ~ incident(A_1815,a1a2) ),
inference(splitRight,[status(thm)],[c_49880]) ).
tff(c_52372,plain,
( ( b3 = b2 )
| ~ incident(b2,a1a2) ),
inference(resolution,[status(thm)],[c_30,c_52355]) ).
tff(c_52386,plain,
~ incident(b2,a1a2),
inference(negUnitSimplification,[status(thm)],[c_118,c_52372]) ).
tff(c_52258,plain,
! [C_1811,A_1812] :
( ( a1a2 = C_1811 )
| ( a2 = A_1812 )
| ~ incident(a2,C_1811)
| ~ incident(A_1812,a1a2)
| ~ incident(A_1812,C_1811) ),
inference(resolution,[status(thm)],[c_16,c_40042]) ).
tff(c_52283,plain,
! [A_1812] :
( ( s2 = a1a2 )
| ( a2 = A_1812 )
| ~ incident(A_1812,a1a2)
| ~ incident(A_1812,s2) ),
inference(resolution,[status(thm)],[c_46,c_52258]) ).
tff(c_52387,plain,
s2 = a1a2,
inference(splitLeft,[status(thm)],[c_52283]) ).
tff(c_52416,plain,
incident(b2,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_52387,c_52]) ).
tff(c_52421,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_52386,c_52416]) ).
tff(c_52424,plain,
! [A_1818] :
( ( a2 = A_1818 )
| ~ incident(A_1818,a1a2)
| ~ incident(A_1818,s2) ),
inference(splitRight,[status(thm)],[c_52283]) ).
tff(c_52427,plain,
( ( b3 = a2 )
| ~ incident(b3,a1a2) ),
inference(resolution,[status(thm)],[c_52208,c_52424]) ).
tff(c_52444,plain,
b3 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_39926,c_52427]) ).
tff(c_52171,plain,
incident(b3,s1),
inference(splitRight,[status(thm)],[c_49939]) ).
tff(c_52474,plain,
incident(a2,s1),
inference(demodulation,[status(thm),theory(equality)],[c_52444,c_52171]) ).
tff(c_52492,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_43432,c_52474]) ).
tff(c_52493,plain,
b3 = a2,
inference(splitRight,[status(thm)],[c_49886]) ).
tff(c_49829,plain,
~ incident(b3,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_49821,c_39894]) ).
tff(c_52496,plain,
~ incident(a2,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_52493,c_49829]) ).
tff(c_52503,plain,
incident(a2,b2b3),
inference(demodulation,[status(thm),theory(equality)],[c_52493,c_32]) ).
tff(c_53733,plain,
! [C_1856,A_1857] :
( ( a2a3 = C_1856 )
| ( p1 = A_1857 )
| ~ incident(p1,C_1856)
| ~ incident(A_1857,a2a3)
| ~ incident(A_1857,C_1856) ),
inference(resolution,[status(thm)],[c_60,c_40042]) ).
tff(c_53745,plain,
! [A_1857] :
( ( b2b3 = a2a3 )
| ( p1 = A_1857 )
| ~ incident(A_1857,a2a3)
| ~ incident(A_1857,b2b3) ),
inference(resolution,[status(thm)],[c_62,c_53733]) ).
tff(c_53758,plain,
! [A_1858] :
( ( p1 = A_1858 )
| ~ incident(A_1858,a2a3)
| ~ incident(A_1858,b2b3) ),
inference(negUnitSimplification,[status(thm)],[c_115,c_53745]) ).
tff(c_53761,plain,
( ( p1 = a2 )
| ~ incident(a2,a2a3) ),
inference(resolution,[status(thm)],[c_52503,c_53758]) ).
tff(c_53778,plain,
p1 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_18,c_53761]) ).
tff(c_53796,plain,
incident(a2,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_53778,c_39895]) ).
tff(c_53802,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_52496,c_53796]) ).
tff(c_53803,plain,
s = a2,
inference(splitRight,[status(thm)],[c_43407]) ).
tff(c_53903,plain,
! [A_1528] :
( ( s3 = s1 )
| ( a2 = A_1528 )
| ~ incident(A_1528,s3)
| ~ incident(A_1528,s1) ),
inference(demodulation,[status(thm),theory(equality)],[c_53803,c_43429]) ).
tff(c_53904,plain,
s3 = s1,
inference(splitLeft,[status(thm)],[c_53903]) ).
tff(c_53941,plain,
incident(a3,s1),
inference(demodulation,[status(thm),theory(equality)],[c_53904,c_48]) ).
tff(c_54059,plain,
! [C_1865,A_1866] :
( ( b1b2 = C_1865 )
| ( b2 = A_1866 )
| ~ incident(b2,C_1865)
| ~ incident(A_1866,b1b2)
| ~ incident(A_1866,C_1865) ),
inference(resolution,[status(thm)],[c_28,c_40042]) ).
tff(c_54081,plain,
! [A_1866] :
( ( b2b3 = b1b2 )
| ( b2 = A_1866 )
| ~ incident(A_1866,b1b2)
| ~ incident(A_1866,b2b3) ),
inference(resolution,[status(thm)],[c_30,c_54059]) ).
tff(c_54135,plain,
b2b3 = b1b2,
inference(splitLeft,[status(thm)],[c_54081]) ).
tff(c_54139,plain,
incident(b3,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_54135,c_32]) ).
tff(c_40118,plain,
! [C_1413,A_1415] :
( ( a1a2 = C_1413 )
| ( b3 = A_1415 )
| ~ incident(b3,C_1413)
| ~ incident(A_1415,a1a2)
| ~ incident(A_1415,C_1413) ),
inference(resolution,[status(thm)],[c_39926,c_40042]) ).
tff(c_54150,plain,
! [A_1415] :
( ( b1b2 = a1a2 )
| ( b3 = A_1415 )
| ~ incident(A_1415,a1a2)
| ~ incident(A_1415,b1b2) ),
inference(resolution,[status(thm)],[c_54139,c_40118]) ).
tff(c_54224,plain,
! [A_1873] :
( ( b3 = A_1873 )
| ~ incident(A_1873,a1a2)
| ~ incident(A_1873,b1b2) ),
inference(negUnitSimplification,[status(thm)],[c_116,c_54150]) ).
tff(c_54247,plain,
( ( b3 = b1 )
| ~ incident(b1,a1a2) ),
inference(resolution,[status(thm)],[c_26,c_54224]) ).
tff(c_54268,plain,
~ incident(b1,a1a2),
inference(negUnitSimplification,[status(thm)],[c_117,c_54247]) ).
tff(c_54288,plain,
! [C_1874,A_1875] :
( ( a1a2 = C_1874 )
| ( a2 = A_1875 )
| ~ incident(a2,C_1874)
| ~ incident(A_1875,a1a2)
| ~ incident(A_1875,C_1874) ),
inference(resolution,[status(thm)],[c_16,c_40042]) ).
tff(c_54312,plain,
! [A_1875] :
( ( b3b1 = a1a2 )
| ( a2 = A_1875 )
| ~ incident(A_1875,a1a2)
| ~ incident(A_1875,b3b1) ),
inference(resolution,[status(thm)],[c_39944,c_54288]) ).
tff(c_54361,plain,
b3b1 = a1a2,
inference(splitLeft,[status(thm)],[c_54312]) ).
tff(c_54371,plain,
incident(b1,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_54361,c_36]) ).
tff(c_54377,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_54268,c_54371]) ).
tff(c_54406,plain,
! [A_1878] :
( ( a2 = A_1878 )
| ~ incident(A_1878,a1a2)
| ~ incident(A_1878,b3b1) ),
inference(splitRight,[status(thm)],[c_54312]) ).
tff(c_54426,plain,
( ( b3 = a2 )
| ~ incident(b3,a1a2) ),
inference(resolution,[status(thm)],[c_34,c_54406]) ).
tff(c_54441,plain,
b3 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_39926,c_54426]) ).
tff(c_54471,plain,
incident(a2,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_54441,c_54139]) ).
tff(c_54141,plain,
b1b2 != a2a3,
inference(demodulation,[status(thm),theory(equality)],[c_54135,c_115]) ).
tff(c_40132,plain,
! [C_1413,A_1415] :
( ( b2b3 = C_1413 )
| ( p1 = A_1415 )
| ~ incident(p1,C_1413)
| ~ incident(A_1415,b2b3)
| ~ incident(A_1415,C_1413) ),
inference(resolution,[status(thm)],[c_62,c_40042]) ).
tff(c_54443,plain,
! [C_1879,A_1880] :
( ( b1b2 = C_1879 )
| ( p1 = A_1880 )
| ~ incident(p1,C_1879)
| ~ incident(A_1880,b1b2)
| ~ incident(A_1880,C_1879) ),
inference(demodulation,[status(thm),theory(equality)],[c_54135,c_54135,c_40132]) ).
tff(c_54453,plain,
! [A_1880] :
( ( b1b2 = a2a3 )
| ( p1 = A_1880 )
| ~ incident(A_1880,b1b2)
| ~ incident(A_1880,a2a3) ),
inference(resolution,[status(thm)],[c_60,c_54443]) ).
tff(c_54487,plain,
! [A_1881] :
( ( p1 = A_1881 )
| ~ incident(A_1881,b1b2)
| ~ incident(A_1881,a2a3) ),
inference(negUnitSimplification,[status(thm)],[c_54141,c_54453]) ).
tff(c_54501,plain,
( ( p1 = a3 )
| ~ incident(a3,a2a3) ),
inference(resolution,[status(thm)],[c_39898,c_54487]) ).
tff(c_54520,plain,
p1 = a3,
inference(demodulation,[status(thm),theory(equality)],[c_20,c_54501]) ).
tff(c_54464,plain,
! [A_1880] :
( ( p1 = A_1880 )
| ~ incident(A_1880,b1b2)
| ~ incident(A_1880,a2a3) ),
inference(negUnitSimplification,[status(thm)],[c_54141,c_54453]) ).
tff(c_54630,plain,
! [A_1885] :
( ( a3 = A_1885 )
| ~ incident(A_1885,b1b2)
| ~ incident(A_1885,a2a3) ),
inference(demodulation,[status(thm),theory(equality)],[c_54520,c_54464]) ).
tff(c_54633,plain,
( ( a3 = a2 )
| ~ incident(a2,a2a3) ),
inference(resolution,[status(thm)],[c_54471,c_54630]) ).
tff(c_54653,plain,
a3 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_18,c_54633]) ).
tff(c_54655,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_121,c_54653]) ).
tff(c_54717,plain,
! [A_1889] :
( ( b2 = A_1889 )
| ~ incident(A_1889,b1b2)
| ~ incident(A_1889,b2b3) ),
inference(splitRight,[status(thm)],[c_54081]) ).
tff(c_54731,plain,
( ( b3 = b2 )
| ~ incident(b3,b1b2) ),
inference(resolution,[status(thm)],[c_32,c_54717]) ).
tff(c_54746,plain,
~ incident(b3,b1b2),
inference(negUnitSimplification,[status(thm)],[c_118,c_54731]) ).
tff(c_55042,plain,
! [C_1898,A_1899] :
( ( b1b2 = C_1898 )
| ( b1 = A_1899 )
| ~ incident(b1,C_1898)
| ~ incident(A_1899,b1b2)
| ~ incident(A_1899,C_1898) ),
inference(resolution,[status(thm)],[c_26,c_40042]) ).
tff(c_55063,plain,
! [A_1899] :
( ( s1 = b1b2 )
| ( b1 = A_1899 )
| ~ incident(A_1899,b1b2)
| ~ incident(A_1899,s1) ),
inference(resolution,[status(thm)],[c_50,c_55042]) ).
tff(c_55470,plain,
s1 = b1b2,
inference(splitLeft,[status(thm)],[c_55063]) ).
tff(c_53940,plain,
incident(b3,s1),
inference(demodulation,[status(thm),theory(equality)],[c_53904,c_54]) ).
tff(c_55472,plain,
incident(b3,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_55470,c_53940]) ).
tff(c_55483,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_54746,c_55472]) ).
tff(c_55486,plain,
! [A_1912] :
( ( b1 = A_1912 )
| ~ incident(A_1912,b1b2)
| ~ incident(A_1912,s1) ),
inference(splitRight,[status(thm)],[c_55063]) ).
tff(c_55489,plain,
( ( b1 = a3 )
| ~ incident(a3,b1b2) ),
inference(resolution,[status(thm)],[c_53941,c_55486]) ).
tff(c_55512,plain,
b1 = a3,
inference(demodulation,[status(thm),theory(equality)],[c_39898,c_55489]) ).
tff(c_55085,plain,
incident(b1,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_55076,c_36]) ).
tff(c_55559,plain,
incident(a3,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_55512,c_55085]) ).
tff(c_55569,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_55253,c_55559]) ).
tff(c_55604,plain,
! [A_1916] :
( ( a2 = A_1916 )
| ~ incident(A_1916,a1a2)
| ~ incident(A_1916,b3b1) ),
inference(splitRight,[status(thm)],[c_54792]) ).
tff(c_55624,plain,
( ( b3 = a2 )
| ~ incident(b3,a1a2) ),
inference(resolution,[status(thm)],[c_34,c_55604]) ).
tff(c_55639,plain,
b3 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_39926,c_55624]) ).
tff(c_55648,plain,
b2 != a2,
inference(demodulation,[status(thm),theory(equality)],[c_55639,c_118]) ).
tff(c_55646,plain,
incident(a2,b2b3),
inference(demodulation,[status(thm),theory(equality)],[c_55639,c_32]) ).
tff(c_54728,plain,
( ( p1 = b2 )
| ~ incident(p1,b1b2) ),
inference(resolution,[status(thm)],[c_62,c_54717]) ).
tff(c_54743,plain,
p1 = b2,
inference(demodulation,[status(thm),theory(equality)],[c_39895,c_54728]) ).
tff(c_54758,plain,
incident(b2,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_54743,c_60]) ).
tff(c_55658,plain,
! [C_1917,A_1918] :
( ( b2b3 = C_1917 )
| ( b2 = A_1918 )
| ~ incident(b2,C_1917)
| ~ incident(A_1918,b2b3)
| ~ incident(A_1918,C_1917) ),
inference(resolution,[status(thm)],[c_30,c_40042]) ).
tff(c_55660,plain,
! [A_1918] :
( ( b2b3 = a2a3 )
| ( b2 = A_1918 )
| ~ incident(A_1918,b2b3)
| ~ incident(A_1918,a2a3) ),
inference(resolution,[status(thm)],[c_54758,c_55658]) ).
tff(c_55716,plain,
! [A_1919] :
( ( b2 = A_1919 )
| ~ incident(A_1919,b2b3)
| ~ incident(A_1919,a2a3) ),
inference(negUnitSimplification,[status(thm)],[c_115,c_55660]) ).
tff(c_55719,plain,
( ( b2 = a2 )
| ~ incident(a2,a2a3) ),
inference(resolution,[status(thm)],[c_55646,c_55716]) ).
tff(c_55733,plain,
b2 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_18,c_55719]) ).
tff(c_55735,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_55648,c_55733]) ).
tff(c_55738,plain,
! [A_1920] :
( ( a2 = A_1920 )
| ~ incident(A_1920,s3)
| ~ incident(A_1920,s1) ),
inference(splitRight,[status(thm)],[c_53903]) ).
tff(c_55766,plain,
( ( b3 = a2 )
| ~ incident(b3,s1) ),
inference(resolution,[status(thm)],[c_54,c_55738]) ).
tff(c_55770,plain,
~ incident(b3,s1),
inference(splitLeft,[status(thm)],[c_55766]) ).
tff(c_57154,plain,
~ incident(b3,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_57140,c_55770]) ).
tff(c_57167,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_39926,c_57154]) ).
tff(c_57170,plain,
! [A_1969] :
( ( b1 = A_1969 )
| ~ incident(A_1969,a1a2)
| ~ incident(A_1969,s1) ),
inference(splitRight,[status(thm)],[c_57139]) ).
tff(c_57184,plain,
( ( b1 = a1 )
| ~ incident(a1,a1a2) ),
inference(resolution,[status(thm)],[c_44,c_57170]) ).
tff(c_57199,plain,
b1 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_57184]) ).
tff(c_56148,plain,
! [C_1933,A_1934] :
( ( b3b1 = C_1933 )
| ( p2 = A_1934 )
| ~ incident(p2,C_1933)
| ~ incident(A_1934,b3b1)
| ~ incident(A_1934,C_1933) ),
inference(resolution,[status(thm)],[c_66,c_40042]) ).
tff(c_56156,plain,
! [A_1934] :
( ( b3b1 = a3a1 )
| ( p2 = A_1934 )
| ~ incident(A_1934,b3b1)
| ~ incident(A_1934,a3a1) ),
inference(resolution,[status(thm)],[c_64,c_56148]) ).
tff(c_56170,plain,
! [A_1935] :
( ( p2 = A_1935 )
| ~ incident(A_1935,b3b1)
| ~ incident(A_1935,a3a1) ),
inference(negUnitSimplification,[status(thm)],[c_114,c_56156]) ).
tff(c_56202,plain,
( ( p2 = b1 )
| ~ incident(b1,a3a1) ),
inference(resolution,[status(thm)],[c_36,c_56170]) ).
tff(c_56204,plain,
~ incident(b1,a3a1),
inference(splitLeft,[status(thm)],[c_56202]) ).
tff(c_57214,plain,
~ incident(a1,a3a1),
inference(demodulation,[status(thm),theory(equality)],[c_57199,c_56204]) ).
tff(c_57224,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_24,c_57214]) ).
tff(c_57316,plain,
! [A_1974] :
( ( a2 = A_1974 )
| ~ incident(A_1974,a1a2)
| ~ incident(A_1974,b3b1) ),
inference(splitRight,[status(thm)],[c_56453]) ).
tff(c_57336,plain,
( ( b3 = a2 )
| ~ incident(b3,a1a2) ),
inference(resolution,[status(thm)],[c_34,c_57316]) ).
tff(c_57351,plain,
b3 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_39926,c_57336]) ).
tff(c_56327,plain,
! [C_1940,A_1941] :
( ( a2a3 = C_1940 )
| ( p1 = A_1941 )
| ~ incident(p1,C_1940)
| ~ incident(A_1941,a2a3)
| ~ incident(A_1941,C_1940) ),
inference(resolution,[status(thm)],[c_60,c_40042]) ).
tff(c_56339,plain,
! [A_1941] :
( ( b2b3 = a2a3 )
| ( p1 = A_1941 )
| ~ incident(A_1941,a2a3)
| ~ incident(A_1941,b2b3) ),
inference(resolution,[status(thm)],[c_62,c_56327]) ).
tff(c_56352,plain,
! [A_1942] :
( ( p1 = A_1942 )
| ~ incident(A_1942,a2a3)
| ~ incident(A_1942,b2b3) ),
inference(negUnitSimplification,[status(thm)],[c_115,c_56339]) ).
tff(c_56380,plain,
( ( p1 = b3 )
| ~ incident(b3,a2a3) ),
inference(resolution,[status(thm)],[c_32,c_56352]) ).
tff(c_56382,plain,
~ incident(b3,a2a3),
inference(splitLeft,[status(thm)],[c_56380]) ).
tff(c_57352,plain,
~ incident(a2,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_57351,c_56382]) ).
tff(c_57365,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_18,c_57352]) ).
tff(c_57366,plain,
p1 = b3,
inference(splitRight,[status(thm)],[c_56380]) ).
tff(c_57376,plain,
~ incident(b3,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_57366,c_39896]) ).
tff(c_57383,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_39926,c_57376]) ).
tff(c_57384,plain,
p2 = b1,
inference(splitRight,[status(thm)],[c_56202]) ).
tff(c_57392,plain,
~ incident(b1,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_57384,c_39894]) ).
tff(c_57399,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_26,c_57392]) ).
tff(c_57400,plain,
b3 = a2,
inference(splitRight,[status(thm)],[c_55766]) ).
tff(c_40142,plain,
! [C_1413,A_1415] :
( ( b2b3 = C_1413 )
| ( b3 = A_1415 )
| ~ incident(b3,C_1413)
| ~ incident(A_1415,b2b3)
| ~ incident(A_1415,C_1413) ),
inference(resolution,[status(thm)],[c_32,c_40042]) ).
tff(c_57751,plain,
! [C_1986,A_1987] :
( ( b2b3 = C_1986 )
| ( a2 = A_1987 )
| ~ incident(a2,C_1986)
| ~ incident(A_1987,b2b3)
| ~ incident(A_1987,C_1986) ),
inference(demodulation,[status(thm),theory(equality)],[c_57400,c_57400,c_40142]) ).
tff(c_57769,plain,
! [A_1987] :
( ( b2b3 = a2a3 )
| ( a2 = A_1987 )
| ~ incident(A_1987,b2b3)
| ~ incident(A_1987,a2a3) ),
inference(resolution,[status(thm)],[c_18,c_57751]) ).
tff(c_57817,plain,
! [A_1989] :
( ( a2 = A_1989 )
| ~ incident(A_1989,b2b3)
| ~ incident(A_1989,a2a3) ),
inference(negUnitSimplification,[status(thm)],[c_115,c_57769]) ).
tff(c_57831,plain,
( ( p1 = a2 )
| ~ incident(p1,a2a3) ),
inference(resolution,[status(thm)],[c_62,c_57817]) ).
tff(c_57847,plain,
p1 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_60,c_57831]) ).
tff(c_57855,plain,
~ incident(a2,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_57847,c_39896]) ).
tff(c_57861,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_57855]) ).
tff(c_57863,plain,
incident(b2,s1),
inference(splitRight,[status(thm)],[c_43406]) ).
tff(c_58830,plain,
incident(a3,s1),
inference(demodulation,[status(thm),theory(equality)],[c_58812,c_57863]) ).
tff(c_58943,plain,
! [C_2024,A_2025] :
( ( a3a1 = C_2024 )
| ( p2 = A_2025 )
| ~ incident(p2,C_2024)
| ~ incident(A_2025,a3a1)
| ~ incident(A_2025,C_2024) ),
inference(resolution,[status(thm)],[c_64,c_40042]) ).
tff(c_58953,plain,
! [A_2025] :
( ( b3b1 = a3a1 )
| ( p2 = A_2025 )
| ~ incident(A_2025,a3a1)
| ~ incident(A_2025,b3b1) ),
inference(resolution,[status(thm)],[c_66,c_58943]) ).
tff(c_58965,plain,
! [A_2026] :
( ( p2 = A_2026 )
| ~ incident(A_2026,a3a1)
| ~ incident(A_2026,b3b1) ),
inference(negUnitSimplification,[status(thm)],[c_114,c_58953]) ).
tff(c_58997,plain,
( ( p2 = b1 )
| ~ incident(b1,a3a1) ),
inference(resolution,[status(thm)],[c_36,c_58965]) ).
tff(c_58999,plain,
~ incident(b1,a3a1),
inference(splitLeft,[status(thm)],[c_58997]) ).
tff(c_58850,plain,
! [C_2021,A_2022] :
( ( s1 = C_2021 )
| ( a1 = A_2022 )
| ~ incident(a1,C_2021)
| ~ incident(A_2022,s1)
| ~ incident(A_2022,C_2021) ),
inference(resolution,[status(thm)],[c_44,c_40042]) ).
tff(c_58872,plain,
! [A_2022] :
( ( s1 = a3a1 )
| ( a1 = A_2022 )
| ~ incident(A_2022,s1)
| ~ incident(A_2022,a3a1) ),
inference(resolution,[status(thm)],[c_24,c_58850]) ).
tff(c_59357,plain,
s1 = a3a1,
inference(splitLeft,[status(thm)],[c_58872]) ).
tff(c_59367,plain,
incident(b1,a3a1),
inference(demodulation,[status(thm),theory(equality)],[c_59357,c_50]) ).
tff(c_59372,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58999,c_59367]) ).
tff(c_59375,plain,
! [A_2041] :
( ( a1 = A_2041 )
| ~ incident(A_2041,s1)
| ~ incident(A_2041,a3a1) ),
inference(splitRight,[status(thm)],[c_58872]) ).
tff(c_59378,plain,
( ( a3 = a1 )
| ~ incident(a3,a3a1) ),
inference(resolution,[status(thm)],[c_58830,c_59375]) ).
tff(c_59395,plain,
a3 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_22,c_59378]) ).
tff(c_59397,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_120,c_59395]) ).
tff(c_59398,plain,
p2 = b1,
inference(splitRight,[status(thm)],[c_58997]) ).
tff(c_59427,plain,
~ incident(b1,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_59398,c_39894]) ).
tff(c_59433,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_26,c_59427]) ).
tff(c_59434,plain,
p1 = b3,
inference(splitRight,[status(thm)],[c_57958]) ).
tff(c_59444,plain,
~ incident(b3,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_59434,c_39896]) ).
tff(c_59451,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_39926,c_59444]) ).
tff(c_59452,plain,
incident(b2,a3a1),
inference(splitRight,[status(thm)],[c_12]) ).
tff(c_59504,plain,
incident(b3,a1a2),
inference(negUnitSimplification,[status(thm)],[c_126,c_8]) ).
tff(c_59597,plain,
! [D_2058,C_2059,B_2060,A_2061] :
( ( D_2058 = C_2059 )
| ( B_2060 = A_2061 )
| ~ incident(B_2060,D_2058)
| ~ incident(B_2060,C_2059)
| ~ incident(A_2061,D_2058)
| ~ incident(A_2061,C_2059) ),
inference(cnfTransformation,[status(thm)],[f_153]) ).
tff(c_70078,plain,
! [C_2406,A_2407] :
( ( b2b3 = C_2406 )
| ( b2 = A_2407 )
| ~ incident(b2,C_2406)
| ~ incident(A_2407,b2b3)
| ~ incident(A_2407,C_2406) ),
inference(resolution,[status(thm)],[c_30,c_59597]) ).
tff(c_70103,plain,
! [A_2407] :
( ( b2b3 = b1b2 )
| ( b2 = A_2407 )
| ~ incident(A_2407,b2b3)
| ~ incident(A_2407,b1b2) ),
inference(resolution,[status(thm)],[c_28,c_70078]) ).
tff(c_70867,plain,
b2b3 = b1b2,
inference(splitLeft,[status(thm)],[c_70103]) ).
tff(c_70916,plain,
incident(b3,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_70867,c_32]) ).
tff(c_59453,plain,
~ incident(a3,b1b2),
inference(splitRight,[status(thm)],[c_12]) ).
tff(c_65655,plain,
! [C_2262,A_2263] :
( ( a2a3 = C_2262 )
| ( a3 = A_2263 )
| ~ incident(a3,C_2262)
| ~ incident(A_2263,a2a3)
| ~ incident(A_2263,C_2262) ),
inference(resolution,[status(thm)],[c_20,c_59597]) ).
tff(c_65677,plain,
! [A_2263] :
( ( a3a1 = a2a3 )
| ( a3 = A_2263 )
| ~ incident(A_2263,a2a3)
| ~ incident(A_2263,a3a1) ),
inference(resolution,[status(thm)],[c_22,c_65655]) ).
tff(c_69000,plain,
a3a1 = a2a3,
inference(splitLeft,[status(thm)],[c_65677]) ).
tff(c_59485,plain,
incident(a2,b3b1),
inference(negUnitSimplification,[status(thm)],[c_136,c_10]) ).
tff(c_65080,plain,
! [C_2241,A_2242] :
( ( b1b2 = C_2241 )
| ( p3 = A_2242 )
| ~ incident(p3,C_2241)
| ~ incident(A_2242,b1b2)
| ~ incident(A_2242,C_2241) ),
inference(resolution,[status(thm)],[c_58,c_59597]) ).
tff(c_65088,plain,
! [A_2242] :
( ( b1b2 = a1a2 )
| ( p3 = A_2242 )
| ~ incident(A_2242,b1b2)
| ~ incident(A_2242,a1a2) ),
inference(resolution,[status(thm)],[c_56,c_65080]) ).
tff(c_65102,plain,
! [A_2243] :
( ( p3 = A_2243 )
| ~ incident(A_2243,b1b2)
| ~ incident(A_2243,a1a2) ),
inference(negUnitSimplification,[status(thm)],[c_116,c_65088]) ).
tff(c_65135,plain,
( ( p3 = b2 )
| ~ incident(b2,a1a2) ),
inference(resolution,[status(thm)],[c_28,c_65102]) ).
tff(c_65137,plain,
~ incident(b2,a1a2),
inference(splitLeft,[status(thm)],[c_65135]) ).
tff(c_67161,plain,
! [C_2312,A_2313] :
( ( a1a2 = C_2312 )
| ( a1 = A_2313 )
| ~ incident(a1,C_2312)
| ~ incident(A_2313,a1a2)
| ~ incident(A_2313,C_2312) ),
inference(resolution,[status(thm)],[c_14,c_59597]) ).
tff(c_67183,plain,
! [A_2313] :
( ( a3a1 = a1a2 )
| ( a1 = A_2313 )
| ~ incident(A_2313,a1a2)
| ~ incident(A_2313,a3a1) ),
inference(resolution,[status(thm)],[c_24,c_67161]) ).
tff(c_67185,plain,
a3a1 = a1a2,
inference(splitLeft,[status(thm)],[c_67183]) ).
tff(c_67194,plain,
incident(b2,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_67185,c_59452]) ).
tff(c_67201,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_65137,c_67194]) ).
tff(c_67204,plain,
! [A_2315] :
( ( a1 = A_2315 )
| ~ incident(A_2315,a1a2)
| ~ incident(A_2315,a3a1) ),
inference(splitRight,[status(thm)],[c_67183]) ).
tff(c_67221,plain,
( ( a3 = a1 )
| ~ incident(a3,a1a2) ),
inference(resolution,[status(thm)],[c_22,c_67204]) ).
tff(c_67235,plain,
~ incident(a3,a1a2),
inference(negUnitSimplification,[status(thm)],[c_120,c_67221]) ).
tff(c_67232,plain,
( ( p2 = a1 )
| ~ incident(p2,a1a2) ),
inference(resolution,[status(thm)],[c_64,c_67204]) ).
tff(c_67240,plain,
~ incident(p2,a1a2),
inference(splitLeft,[status(thm)],[c_67232]) ).
tff(c_68169,plain,
! [C_2345,A_2346] :
( ( a1a2 = C_2345 )
| ( a2 = A_2346 )
| ~ incident(a2,C_2345)
| ~ incident(A_2346,a1a2)
| ~ incident(A_2346,C_2345) ),
inference(resolution,[status(thm)],[c_16,c_59597]) ).
tff(c_68190,plain,
! [A_2346] :
( ( b3b1 = a1a2 )
| ( a2 = A_2346 )
| ~ incident(A_2346,a1a2)
| ~ incident(A_2346,b3b1) ),
inference(resolution,[status(thm)],[c_59485,c_68169]) ).
tff(c_68451,plain,
b3b1 = a1a2,
inference(splitLeft,[status(thm)],[c_68190]) ).
tff(c_68456,plain,
incident(p2,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_68451,c_66]) ).
tff(c_68463,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_67240,c_68456]) ).
tff(c_68466,plain,
! [A_2354] :
( ( a2 = A_2354 )
| ~ incident(A_2354,a1a2)
| ~ incident(A_2354,b3b1) ),
inference(splitRight,[status(thm)],[c_68190]) ).
tff(c_68486,plain,
( ( b3 = a2 )
| ~ incident(b3,a1a2) ),
inference(resolution,[status(thm)],[c_34,c_68466]) ).
tff(c_68501,plain,
b3 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_59504,c_68486]) ).
tff(c_65674,plain,
! [A_2263] :
( ( s3 = a2a3 )
| ( a3 = A_2263 )
| ~ incident(A_2263,a2a3)
| ~ incident(A_2263,s3) ),
inference(resolution,[status(thm)],[c_48,c_65655]) ).
tff(c_67267,plain,
s3 = a2a3,
inference(splitLeft,[status(thm)],[c_65674]) ).
tff(c_67271,plain,
incident(b3,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_67267,c_54]) ).
tff(c_67330,plain,
! [C_2318,A_2319] :
( ( a2a3 = C_2318 )
| ( p1 = A_2319 )
| ~ incident(p1,C_2318)
| ~ incident(A_2319,a2a3)
| ~ incident(A_2319,C_2318) ),
inference(resolution,[status(thm)],[c_60,c_59597]) ).
tff(c_67342,plain,
! [A_2319] :
( ( b2b3 = a2a3 )
| ( p1 = A_2319 )
| ~ incident(A_2319,a2a3)
| ~ incident(A_2319,b2b3) ),
inference(resolution,[status(thm)],[c_62,c_67330]) ).
tff(c_67355,plain,
! [A_2320] :
( ( p1 = A_2320 )
| ~ incident(A_2320,a2a3)
| ~ incident(A_2320,b2b3) ),
inference(negUnitSimplification,[status(thm)],[c_115,c_67342]) ).
tff(c_67369,plain,
( ( p1 = b3 )
| ~ incident(b3,a2a3) ),
inference(resolution,[status(thm)],[c_32,c_67355]) ).
tff(c_67385,plain,
p1 = b3,
inference(demodulation,[status(thm),theory(equality)],[c_67271,c_67369]) ).
tff(c_67395,plain,
~ incident(b3,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_67385,c_39896]) ).
tff(c_67402,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_59504,c_67395]) ).
tff(c_67450,plain,
! [A_2322] :
( ( a3 = A_2322 )
| ~ incident(A_2322,a2a3)
| ~ incident(A_2322,s3) ),
inference(splitRight,[status(thm)],[c_65674]) ).
tff(c_67474,plain,
( ( b3 = a3 )
| ~ incident(b3,a2a3) ),
inference(resolution,[status(thm)],[c_54,c_67450]) ).
tff(c_67480,plain,
~ incident(b3,a2a3),
inference(splitLeft,[status(thm)],[c_67474]) ).
tff(c_68503,plain,
~ incident(a2,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_68501,c_67480]) ).
tff(c_68516,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_18,c_68503]) ).
tff(c_68517,plain,
b3 = a3,
inference(splitRight,[status(thm)],[c_67474]) ).
tff(c_68522,plain,
incident(a3,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_68517,c_59504]) ).
tff(c_68530,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_67235,c_68522]) ).
tff(c_68531,plain,
p2 = a1,
inference(splitRight,[status(thm)],[c_67232]) ).
tff(c_68567,plain,
incident(a1,b3b1),
inference(demodulation,[status(thm),theory(equality)],[c_68531,c_66]) ).
tff(c_59678,plain,
! [C_2059,A_2061] :
( ( a3a1 = C_2059 )
| ( p2 = A_2061 )
| ~ incident(p2,C_2059)
| ~ incident(A_2061,a3a1)
| ~ incident(A_2061,C_2059) ),
inference(resolution,[status(thm)],[c_64,c_59597]) ).
tff(c_68778,plain,
! [C_2362,A_2363] :
( ( a3a1 = C_2362 )
| ( a1 = A_2363 )
| ~ incident(a1,C_2362)
| ~ incident(A_2363,a3a1)
| ~ incident(A_2363,C_2362) ),
inference(demodulation,[status(thm),theory(equality)],[c_68531,c_68531,c_59678]) ).
tff(c_68780,plain,
! [A_2363] :
( ( b3b1 = a3a1 )
| ( a1 = A_2363 )
| ~ incident(A_2363,a3a1)
| ~ incident(A_2363,b3b1) ),
inference(resolution,[status(thm)],[c_68567,c_68778]) ).
tff(c_68808,plain,
! [A_2364] :
( ( a1 = A_2364 )
| ~ incident(A_2364,a3a1)
| ~ incident(A_2364,b3b1) ),
inference(negUnitSimplification,[status(thm)],[c_114,c_68780]) ).
tff(c_68822,plain,
( ( a2 = a1 )
| ~ incident(a2,a3a1) ),
inference(resolution,[status(thm)],[c_59485,c_68808]) ).
tff(c_68841,plain,
~ incident(a2,a3a1),
inference(negUnitSimplification,[status(thm)],[c_122,c_68822]) ).
tff(c_69003,plain,
~ incident(a2,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_69000,c_68841]) ).
tff(c_69015,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_18,c_69003]) ).
tff(c_69050,plain,
! [A_2372] :
( ( a3 = A_2372 )
| ~ incident(A_2372,a2a3)
| ~ incident(A_2372,a3a1) ),
inference(splitRight,[status(thm)],[c_65677]) ).
tff(c_69074,plain,
( ( b2 = a3 )
| ~ incident(b2,a2a3) ),
inference(resolution,[status(thm)],[c_59452,c_69050]) ).
tff(c_69082,plain,
~ incident(b2,a2a3),
inference(splitLeft,[status(thm)],[c_69074]) ).
tff(c_69755,plain,
! [C_2395,A_2396] :
( ( b2b3 = C_2395 )
| ( p1 = A_2396 )
| ~ incident(p1,C_2395)
| ~ incident(A_2396,b2b3)
| ~ incident(A_2396,C_2395) ),
inference(resolution,[status(thm)],[c_62,c_59597]) ).
tff(c_69774,plain,
! [A_2396] :
( ( b2b3 = b1b2 )
| ( p1 = A_2396 )
| ~ incident(A_2396,b2b3)
| ~ incident(A_2396,b1b2) ),
inference(resolution,[status(thm)],[c_39895,c_69755]) ).
tff(c_69811,plain,
b2b3 = b1b2,
inference(splitLeft,[status(thm)],[c_69774]) ).
tff(c_68533,plain,
! [C_2355,A_2356] :
( ( b2b3 = C_2355 )
| ( b3 = A_2356 )
| ~ incident(b3,C_2355)
| ~ incident(A_2356,b2b3)
| ~ incident(A_2356,C_2355) ),
inference(resolution,[status(thm)],[c_32,c_59597]) ).
tff(c_68558,plain,
! [A_2356] :
( ( b3b1 = b2b3 )
| ( b3 = A_2356 )
| ~ incident(A_2356,b2b3)
| ~ incident(A_2356,b3b1) ),
inference(resolution,[status(thm)],[c_34,c_68533]) ).
tff(c_69183,plain,
b3b1 = b2b3,
inference(splitLeft,[status(thm)],[c_68558]) ).
tff(c_69212,plain,
incident(a1,b2b3),
inference(demodulation,[status(thm),theory(equality)],[c_69183,c_68567]) ).
tff(c_69219,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_126,c_69212]) ).
tff(c_69222,plain,
! [A_2379] :
( ( b3 = A_2379 )
| ~ incident(A_2379,b2b3)
| ~ incident(A_2379,b3b1) ),
inference(splitRight,[status(thm)],[c_68558]) ).
tff(c_69239,plain,
( ( b3 = b1 )
| ~ incident(b1,b2b3) ),
inference(resolution,[status(thm)],[c_36,c_69222]) ).
tff(c_69253,plain,
~ incident(b1,b2b3),
inference(negUnitSimplification,[status(thm)],[c_117,c_69239]) ).
tff(c_69814,plain,
~ incident(b1,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_69811,c_69253]) ).
tff(c_69835,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_26,c_69814]) ).
tff(c_69838,plain,
! [A_2398] :
( ( p1 = A_2398 )
| ~ incident(A_2398,b2b3)
| ~ incident(A_2398,b1b2) ),
inference(splitRight,[status(thm)],[c_69774]) ).
tff(c_69855,plain,
( ( p1 = b2 )
| ~ incident(b2,b1b2) ),
inference(resolution,[status(thm)],[c_30,c_69838]) ).
tff(c_69869,plain,
p1 = b2,
inference(demodulation,[status(thm),theory(equality)],[c_28,c_69855]) ).
tff(c_69881,plain,
incident(b2,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_69869,c_60]) ).
tff(c_69886,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_69082,c_69881]) ).
tff(c_69887,plain,
b2 = a3,
inference(splitRight,[status(thm)],[c_69074]) ).
tff(c_69896,plain,
incident(a3,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_69887,c_28]) ).
tff(c_69904,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_59453,c_69896]) ).
tff(c_69905,plain,
p3 = b2,
inference(splitRight,[status(thm)],[c_65135]) ).
tff(c_65099,plain,
! [A_2242] :
( ( p3 = A_2242 )
| ~ incident(A_2242,b1b2)
| ~ incident(A_2242,a1a2) ),
inference(negUnitSimplification,[status(thm)],[c_116,c_65088]) ).
tff(c_69929,plain,
! [A_2242] :
( ( b2 = A_2242 )
| ~ incident(A_2242,b1b2)
| ~ incident(A_2242,a1a2) ),
inference(demodulation,[status(thm),theory(equality)],[c_69905,c_65099]) ).
tff(c_70960,plain,
( ( b3 = b2 )
| ~ incident(b3,a1a2) ),
inference(resolution,[status(thm)],[c_70916,c_69929]) ).
tff(c_70973,plain,
b3 = b2,
inference(demodulation,[status(thm),theory(equality)],[c_59504,c_70960]) ).
tff(c_70975,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_118,c_70973]) ).
tff(c_71000,plain,
! [A_2435] :
( ( b2 = A_2435 )
| ~ incident(A_2435,b2b3)
| ~ incident(A_2435,b1b2) ),
inference(splitRight,[status(thm)],[c_70103]) ).
tff(c_71011,plain,
( ( p1 = b2 )
| ~ incident(p1,b1b2) ),
inference(resolution,[status(thm)],[c_62,c_71000]) ).
tff(c_71026,plain,
p1 = b2,
inference(demodulation,[status(thm),theory(equality)],[c_39895,c_71011]) ).
tff(c_70022,plain,
! [A_2404] :
( ~ incident(p2,A_2404)
| ~ incident(p1,A_2404)
| ~ incident(b2,A_2404) ),
inference(demodulation,[status(thm),theory(equality)],[c_69905,c_125]) ).
tff(c_70033,plain,
( ~ incident(p1,a3a1)
| ~ incident(b2,a3a1) ),
inference(resolution,[status(thm)],[c_64,c_70022]) ).
tff(c_70045,plain,
~ incident(p1,a3a1),
inference(demodulation,[status(thm),theory(equality)],[c_59452,c_70033]) ).
tff(c_71035,plain,
~ incident(b2,a3a1),
inference(demodulation,[status(thm),theory(equality)],[c_71026,c_70045]) ).
tff(c_71045,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_59452,c_71035]) ).
tff(c_71047,plain,
incident(p1,a1a2),
inference(splitRight,[status(thm)],[c_135]) ).
tff(c_71081,plain,
incident(b3,a1a2),
inference(negUnitSimplification,[status(thm)],[c_126,c_8]) ).
tff(c_71203,plain,
! [D_2450,C_2451,B_2452,A_2453] :
( ( D_2450 = C_2451 )
| ( B_2452 = A_2453 )
| ~ incident(B_2452,D_2450)
| ~ incident(B_2452,C_2451)
| ~ incident(A_2453,D_2450)
| ~ incident(A_2453,C_2451) ),
inference(cnfTransformation,[status(thm)],[f_153]) ).
tff(c_71336,plain,
! [C_2456,A_2457] :
( ( a1a2 = C_2456 )
| ( b3 = A_2457 )
| ~ incident(b3,C_2456)
| ~ incident(A_2457,a1a2)
| ~ incident(A_2457,C_2456) ),
inference(resolution,[status(thm)],[c_71081,c_71203]) ).
tff(c_71360,plain,
! [A_2457] :
( ( b2b3 = a1a2 )
| ( b3 = A_2457 )
| ~ incident(A_2457,a1a2)
| ~ incident(A_2457,b2b3) ),
inference(resolution,[status(thm)],[c_32,c_71336]) ).
tff(c_71464,plain,
b2b3 = a1a2,
inference(splitLeft,[status(thm)],[c_71360]) ).
tff(c_71492,plain,
~ incident(a1,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_71464,c_126]) ).
tff(c_71500,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_71492]) ).
tff(c_71503,plain,
! [A_2462] :
( ( b3 = A_2462 )
| ~ incident(A_2462,a1a2)
| ~ incident(A_2462,b2b3) ),
inference(splitRight,[status(thm)],[c_71360]) ).
tff(c_71514,plain,
( ( p1 = b3 )
| ~ incident(p1,a1a2) ),
inference(resolution,[status(thm)],[c_62,c_71503]) ).
tff(c_71529,plain,
p1 = b3,
inference(demodulation,[status(thm),theory(equality)],[c_71047,c_71514]) ).
tff(c_71542,plain,
incident(b3,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_71529,c_39895]) ).
tff(c_71281,plain,
! [C_2451,A_2453] :
( ( a1a2 = C_2451 )
| ( b3 = A_2453 )
| ~ incident(b3,C_2451)
| ~ incident(A_2453,a1a2)
| ~ incident(A_2453,C_2451) ),
inference(resolution,[status(thm)],[c_71081,c_71203]) ).
tff(c_71578,plain,
! [A_2453] :
( ( b1b2 = a1a2 )
| ( b3 = A_2453 )
| ~ incident(A_2453,a1a2)
| ~ incident(A_2453,b1b2) ),
inference(resolution,[status(thm)],[c_71542,c_71281]) ).
tff(c_71611,plain,
! [A_2465] :
( ( b3 = A_2465 )
| ~ incident(A_2465,a1a2)
| ~ incident(A_2465,b1b2) ),
inference(negUnitSimplification,[status(thm)],[c_116,c_71578]) ).
tff(c_71628,plain,
( ( p3 = b3 )
| ~ incident(p3,a1a2) ),
inference(resolution,[status(thm)],[c_58,c_71611]) ).
tff(c_71648,plain,
p3 = b3,
inference(demodulation,[status(thm),theory(equality)],[c_56,c_71628]) ).
tff(c_224,plain,
point(p3),
inference(resolution,[status(thm)],[c_56,c_137]) ).
tff(c_71158,plain,
! [B_2441,A_2442] :
( incident(B_2441,'#skF_1'(A_2442,B_2441))
| ~ point(B_2441)
| ~ point(A_2442) ),
inference(cnfTransformation,[status(thm)],[f_162]) ).
tff(c_71133,plain,
! [A_2438,B_2439] :
( incident(A_2438,'#skF_1'(A_2438,B_2439))
| ~ point(B_2439)
| ~ point(A_2438) ),
inference(cnfTransformation,[status(thm)],[f_162]) ).
tff(c_71143,plain,
! [B_2439] :
( ~ incident(p2,'#skF_1'(p3,B_2439))
| ~ incident(p1,'#skF_1'(p3,B_2439))
| ~ point(B_2439)
| ~ point(p3) ),
inference(resolution,[status(thm)],[c_71133,c_125]) ).
tff(c_71148,plain,
! [B_2439] :
( ~ incident(p2,'#skF_1'(p3,B_2439))
| ~ incident(p1,'#skF_1'(p3,B_2439))
| ~ point(B_2439) ),
inference(demodulation,[status(thm),theory(equality)],[c_224,c_71143]) ).
tff(c_71162,plain,
( ~ incident(p1,'#skF_1'(p3,p2))
| ~ point(p2)
| ~ point(p3) ),
inference(resolution,[status(thm)],[c_71158,c_71148]) ).
tff(c_71175,plain,
~ incident(p1,'#skF_1'(p3,p2)),
inference(demodulation,[status(thm),theory(equality)],[c_224,c_221,c_71162]) ).
tff(c_71538,plain,
~ incident(b3,'#skF_1'(p3,p2)),
inference(demodulation,[status(thm),theory(equality)],[c_71529,c_71175]) ).
tff(c_71665,plain,
~ incident(b3,'#skF_1'(b3,p2)),
inference(demodulation,[status(thm),theory(equality)],[c_71648,c_71538]) ).
tff(c_71668,plain,
( ~ point(p2)
| ~ point(b3) ),
inference(resolution,[status(thm)],[c_107,c_71665]) ).
tff(c_71672,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_240,c_221,c_71668]) ).
tff(c_71673,plain,
( ~ incident(b2,a3a1)
| ~ incident(b3,a1a2) ),
inference(splitRight,[status(thm)],[c_123]) ).
tff(c_71788,plain,
~ incident(b3,a1a2),
inference(splitLeft,[status(thm)],[c_71673]) ).
tff(c_71914,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_126,c_71788,c_8]) ).
tff(c_71916,plain,
incident(b3,a1a2),
inference(splitRight,[status(thm)],[c_71673]) ).
tff(c_89750,plain,
! [D_3076,C_3077,B_3078,A_3079] :
( ( D_3076 = C_3077 )
| ( B_3078 = A_3079 )
| ~ incident(B_3078,D_3076)
| ~ incident(B_3078,C_3077)
| ~ incident(A_3079,D_3076)
| ~ incident(A_3079,C_3077) ),
inference(cnfTransformation,[status(thm)],[f_153]) ).
tff(c_89856,plain,
! [C_3080,A_3081] :
( ( s2 = C_3080 )
| ( s = A_3081 )
| ~ incident(s,C_3080)
| ~ incident(A_3081,s2)
| ~ incident(A_3081,C_3080) ),
inference(resolution,[status(thm)],[c_40,c_89750]) ).
tff(c_89877,plain,
! [A_3081] :
( ( s2 = s1 )
| ( s = A_3081 )
| ~ incident(A_3081,s2)
| ~ incident(A_3081,s1) ),
inference(resolution,[status(thm)],[c_38,c_89856]) ).
tff(c_89879,plain,
s2 = s1,
inference(splitLeft,[status(thm)],[c_89877]) ).
tff(c_89906,plain,
incident(a2,s1),
inference(demodulation,[status(thm),theory(equality)],[c_89879,c_46]) ).
tff(c_89880,plain,
! [C_3082,A_3083] :
( ( b1b2 = C_3082 )
| ( p3 = A_3083 )
| ~ incident(p3,C_3082)
| ~ incident(A_3083,b1b2)
| ~ incident(A_3083,C_3082) ),
inference(resolution,[status(thm)],[c_58,c_89750]) ).
tff(c_89888,plain,
! [A_3083] :
( ( b1b2 = a1a2 )
| ( p3 = A_3083 )
| ~ incident(A_3083,b1b2)
| ~ incident(A_3083,a1a2) ),
inference(resolution,[status(thm)],[c_56,c_89880]) ).
tff(c_89939,plain,
! [A_3084] :
( ( p3 = A_3084 )
| ~ incident(A_3084,b1b2)
| ~ incident(A_3084,a1a2) ),
inference(negUnitSimplification,[status(thm)],[c_116,c_89888]) ).
tff(c_89975,plain,
( ( p3 = b1 )
| ~ incident(b1,a1a2) ),
inference(resolution,[status(thm)],[c_26,c_89939]) ).
tff(c_89977,plain,
~ incident(b1,a1a2),
inference(splitLeft,[status(thm)],[c_89975]) ).
tff(c_90751,plain,
! [C_3113,A_3114] :
( ( s1 = C_3113 )
| ( a1 = A_3114 )
| ~ incident(a1,C_3113)
| ~ incident(A_3114,s1)
| ~ incident(A_3114,C_3113) ),
inference(resolution,[status(thm)],[c_44,c_89750]) ).
tff(c_90770,plain,
! [A_3114] :
( ( s1 = a1a2 )
| ( a1 = A_3114 )
| ~ incident(A_3114,s1)
| ~ incident(A_3114,a1a2) ),
inference(resolution,[status(thm)],[c_14,c_90751]) ).
tff(c_91408,plain,
s1 = a1a2,
inference(splitLeft,[status(thm)],[c_90770]) ).
tff(c_91417,plain,
incident(b1,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_91408,c_50]) ).
tff(c_91423,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_89977,c_91417]) ).
tff(c_91457,plain,
! [A_3138] :
( ( a1 = A_3138 )
| ~ incident(A_3138,s1)
| ~ incident(A_3138,a1a2) ),
inference(splitRight,[status(thm)],[c_90770]) ).
tff(c_91460,plain,
( ( a2 = a1 )
| ~ incident(a2,a1a2) ),
inference(resolution,[status(thm)],[c_89906,c_91457]) ).
tff(c_91480,plain,
a2 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_91460]) ).
tff(c_91482,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_122,c_91480]) ).
tff(c_91483,plain,
p3 = b1,
inference(splitRight,[status(thm)],[c_89975]) ).
tff(c_89976,plain,
( ( p3 = b2 )
| ~ incident(b2,a1a2) ),
inference(resolution,[status(thm)],[c_28,c_89939]) ).
tff(c_91563,plain,
( ( b2 = b1 )
| ~ incident(b2,a1a2) ),
inference(demodulation,[status(thm),theory(equality)],[c_91483,c_89976]) ).
tff(c_91564,plain,
~ incident(b2,a1a2),
inference(negUnitSimplification,[status(thm)],[c_119,c_91563]) ).
tff(c_91485,plain,
! [C_3139,A_3140] :
( ( s1 = C_3139 )
| ( a1 = A_3140 )
| ~ incident(a1,C_3139)
| ~ incident(A_3140,s1)
| ~ incident(A_3140,C_3139) ),
inference(resolution,[status(thm)],[c_44,c_89750]) ).
tff(c_91504,plain,
! [A_3140] :
( ( s1 = a1a2 )
| ( a1 = A_3140 )
| ~ incident(A_3140,s1)
| ~ incident(A_3140,a1a2) ),
inference(resolution,[status(thm)],[c_14,c_91485]) ).
tff(c_94351,plain,
s1 = a1a2,
inference(splitLeft,[status(thm)],[c_91504]) ).
tff(c_89905,plain,
incident(b2,s1),
inference(demodulation,[status(thm),theory(equality)],[c_89879,c_52]) ).
tff(c_94358,plain,
incident(b2,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_94351,c_89905]) ).
tff(c_94365,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_91564,c_94358]) ).
tff(c_94386,plain,
! [A_3243] :
( ( a1 = A_3243 )
| ~ incident(A_3243,s1)
| ~ incident(A_3243,a1a2) ),
inference(splitRight,[status(thm)],[c_91504]) ).
tff(c_94392,plain,
( ( a2 = a1 )
| ~ incident(a2,a1a2) ),
inference(resolution,[status(thm)],[c_89906,c_94386]) ).
tff(c_94412,plain,
a2 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_94392]) ).
tff(c_94414,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_122,c_94412]) ).
tff(c_94439,plain,
! [A_3246] :
( ( s = A_3246 )
| ~ incident(A_3246,s2)
| ~ incident(A_3246,s1) ),
inference(splitRight,[status(thm)],[c_89877]) ).
tff(c_94468,plain,
( ( s = a2 )
| ~ incident(a2,s1) ),
inference(resolution,[status(thm)],[c_46,c_94439]) ).
tff(c_94508,plain,
~ incident(a2,s1),
inference(splitLeft,[status(thm)],[c_94468]) ).
tff(c_71674,plain,
incident(b1,a2a3),
inference(splitRight,[status(thm)],[c_123]) ).
tff(c_71915,plain,
~ incident(b2,a3a1),
inference(splitRight,[status(thm)],[c_71673]) ).
tff(c_89657,plain,
incident(a3,b1b2),
inference(negUnitSimplification,[status(thm)],[c_71915,c_12]) ).
tff(c_97650,plain,
! [C_3355,A_3356] :
( ( a2a3 = C_3355 )
| ( b1 = A_3356 )
| ~ incident(b1,C_3355)
| ~ incident(A_3356,a2a3)
| ~ incident(A_3356,C_3355) ),
inference(resolution,[status(thm)],[c_71674,c_89750]) ).
tff(c_97673,plain,
! [A_3356] :
( ( b1b2 = a2a3 )
| ( b1 = A_3356 )
| ~ incident(A_3356,a2a3)
| ~ incident(A_3356,b1b2) ),
inference(resolution,[status(thm)],[c_26,c_97650]) ).
tff(c_97752,plain,
b1b2 = a2a3,
inference(splitLeft,[status(thm)],[c_97673]) ).
tff(c_94566,plain,
! [C_3251,A_3252] :
( ( b1b2 = C_3251 )
| ( b1 = A_3252 )
| ~ incident(b1,C_3251)
| ~ incident(A_3252,b1b2)
| ~ incident(A_3252,C_3251) ),
inference(resolution,[status(thm)],[c_26,c_89750]) ).
tff(c_94587,plain,
! [A_3252] :
( ( b1b2 = a2a3 )
| ( b1 = A_3252 )
| ~ incident(A_3252,b1b2)
| ~ incident(A_3252,a2a3) ),
inference(resolution,[status(thm)],[c_71674,c_94566]) ).
tff(c_95531,plain,
b1b2 = a2a3,
inference(splitLeft,[status(thm)],[c_94587]) ).
tff(c_95477,plain,
! [C_3281,A_3282] :
( ( b1b2 = C_3281 )
| ( b2 = A_3282 )
| ~ incident(b2,C_3281)
| ~ incident(A_3282,b1b2)
| ~ incident(A_3282,C_3281) ),
inference(resolution,[status(thm)],[c_28,c_89750]) ).
tff(c_95498,plain,
! [A_3282] :
( ( s2 = b1b2 )
| ( b2 = A_3282 )
| ~ incident(A_3282,b1b2)
| ~ incident(A_3282,s2) ),
inference(resolution,[status(thm)],[c_52,c_95477]) ).
tff(c_95755,plain,
! [A_3282] :
( ( s2 = a2a3 )
| ( b2 = A_3282 )
| ~ incident(A_3282,a2a3)
| ~ incident(A_3282,s2) ),
inference(demodulation,[status(thm),theory(equality)],[c_95531,c_95531,c_95498]) ).
tff(c_95756,plain,
s2 = a2a3,
inference(splitLeft,[status(thm)],[c_95755]) ).
tff(c_94417,plain,
! [C_3244,A_3245] :
( ( b1b2 = C_3244 )
| ( p3 = A_3245 )
| ~ incident(p3,C_3244)
| ~ incident(A_3245,b1b2)
| ~ incident(A_3245,C_3244) ),
inference(resolution,[status(thm)],[c_58,c_89750]) ).
tff(c_94425,plain,
! [A_3245] :
( ( b1b2 = a1a2 )
| ( p3 = A_3245 )
| ~ incident(A_3245,b1b2)
| ~ incident(A_3245,a1a2) ),
inference(resolution,[status(thm)],[c_56,c_94417]) ).
tff(c_94470,plain,
! [A_3247] :
( ( p3 = A_3247 )
| ~ incident(A_3247,b1b2)
| ~ incident(A_3247,a1a2) ),
inference(negUnitSimplification,[status(thm)],[c_116,c_94425]) ).
tff(c_94500,plain,
( ( p3 = a3 )
| ~ incident(a3,a1a2) ),
inference(resolution,[status(thm)],[c_89657,c_94470]) ).
tff(c_94533,plain,
~ incident(a3,a1a2),
inference(splitLeft,[status(thm)],[c_94500]) ).
tff(c_89878,plain,
! [A_3081] :
( ( s3 = s2 )
| ( s = A_3081 )
| ~ incident(A_3081,s2)
| ~ incident(A_3081,s3) ),
inference(resolution,[status(thm)],[c_42,c_89856]) ).
tff(c_94592,plain,
s3 = s2,
inference(splitLeft,[status(thm)],[c_89878]) ).
tff(c_89838,plain,
! [C_3077,A_3079] :
( ( s3 = C_3077 )
| ( b3 = A_3079 )
| ~ incident(b3,C_3077)
| ~ incident(A_3079,s3)
| ~ incident(A_3079,C_3077) ),
inference(resolution,[status(thm)],[c_54,c_89750]) ).
tff(c_94873,plain,
! [C_3260,A_3261] :
( ( s2 = C_3260 )
| ( b3 = A_3261 )
| ~ incident(b3,C_3260)
| ~ incident(A_3261,s2)
| ~ incident(A_3261,C_3260) ),
inference(demodulation,[status(thm),theory(equality)],[c_94592,c_94592,c_89838]) ).
tff(c_94896,plain,
! [A_3261] :
( ( s2 = a1a2 )
| ( b3 = A_3261 )
| ~ incident(A_3261,s2)
| ~ incident(A_3261,a1a2) ),
inference(resolution,[status(thm)],[c_71916,c_94873]) ).
tff(c_95135,plain,
s2 = a1a2,
inference(splitLeft,[status(thm)],[c_94896]) ).
tff(c_94595,plain,
incident(a3,s2),
inference(demodulation,[status(thm),theory(equality)],[c_94592,c_48]) ).
tff(c_95139,plain,
incident(a3,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_95135,c_94595]) ).
tff(c_95150,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94533,c_95139]) ).
tff(c_95154,plain,
! [A_3270] :
( ( b3 = A_3270 )
| ~ incident(A_3270,s2)
| ~ incident(A_3270,a1a2) ),
inference(splitRight,[status(thm)],[c_94896]) ).
tff(c_95177,plain,
( ( b3 = a2 )
| ~ incident(a2,a1a2) ),
inference(resolution,[status(thm)],[c_46,c_95154]) ).
tff(c_95194,plain,
b3 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_95177]) ).
tff(c_94620,plain,
b1b2 = a2a3,
inference(splitLeft,[status(thm)],[c_94587]) ).
tff(c_94591,plain,
! [A_3252] :
( ( b3b1 = b1b2 )
| ( b1 = A_3252 )
| ~ incident(A_3252,b1b2)
| ~ incident(A_3252,b3b1) ),
inference(resolution,[status(thm)],[c_36,c_94566]) ).
tff(c_94857,plain,
! [A_3252] :
( ( b3b1 = a2a3 )
| ( b1 = A_3252 )
| ~ incident(A_3252,a2a3)
| ~ incident(A_3252,b3b1) ),
inference(demodulation,[status(thm),theory(equality)],[c_94620,c_94620,c_94591]) ).
tff(c_94858,plain,
b3b1 = a2a3,
inference(splitLeft,[status(thm)],[c_94857]) ).
tff(c_94436,plain,
! [A_3245] :
( ( p3 = A_3245 )
| ~ incident(A_3245,b1b2)
| ~ incident(A_3245,a1a2) ),
inference(negUnitSimplification,[status(thm)],[c_116,c_94425]) ).
tff(c_94711,plain,
! [A_3255] :
( ( p3 = A_3255 )
| ~ incident(A_3255,a2a3)
| ~ incident(A_3255,a1a2) ),
inference(demodulation,[status(thm),theory(equality)],[c_94620,c_94436]) ).
tff(c_94731,plain,
( ( p3 = a2 )
| ~ incident(a2,a1a2) ),
inference(resolution,[status(thm)],[c_18,c_94711]) ).
tff(c_94752,plain,
p3 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_94731]) ).
tff(c_94832,plain,
! [A_3259] :
( ~ incident(p2,A_3259)
| ~ incident(p1,A_3259)
| ~ incident(a2,A_3259) ),
inference(demodulation,[status(thm),theory(equality)],[c_94752,c_125]) ).
tff(c_94854,plain,
( ~ incident(p1,b3b1)
| ~ incident(a2,b3b1) ),
inference(resolution,[status(thm)],[c_66,c_94832]) ).
tff(c_94856,plain,
~ incident(a2,b3b1),
inference(splitLeft,[status(thm)],[c_94854]) ).
tff(c_94859,plain,
~ incident(a2,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_94858,c_94856]) ).
tff(c_94869,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_18,c_94859]) ).
tff(c_94899,plain,
! [A_3262] :
( ( b1 = A_3262 )
| ~ incident(A_3262,a2a3)
| ~ incident(A_3262,b3b1) ),
inference(splitRight,[status(thm)],[c_94857]) ).
tff(c_94916,plain,
( ( b3 = b1 )
| ~ incident(b3,a2a3) ),
inference(resolution,[status(thm)],[c_34,c_94899]) ).
tff(c_94930,plain,
~ incident(b3,a2a3),
inference(negUnitSimplification,[status(thm)],[c_117,c_94916]) ).
tff(c_95222,plain,
~ incident(a2,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_95194,c_94930]) ).
tff(c_95235,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_18,c_95222]) ).
tff(c_95237,plain,
incident(a2,b3b1),
inference(splitRight,[status(thm)],[c_94854]) ).
tff(c_95278,plain,
! [A_3252] :
( ( b3b1 = a2a3 )
| ( b1 = A_3252 )
| ~ incident(A_3252,a2a3)
| ~ incident(A_3252,b3b1) ),
inference(demodulation,[status(thm),theory(equality)],[c_94620,c_94620,c_94591]) ).
tff(c_95279,plain,
b3b1 = a2a3,
inference(splitLeft,[status(thm)],[c_95278]) ).
tff(c_95236,plain,
~ incident(p1,b3b1),
inference(splitRight,[status(thm)],[c_94854]) ).
tff(c_95281,plain,
~ incident(p1,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_95279,c_95236]) ).
tff(c_95292,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_60,c_95281]) ).
tff(c_95295,plain,
! [A_3275] :
( ( b1 = A_3275 )
| ~ incident(A_3275,a2a3)
| ~ incident(A_3275,b3b1) ),
inference(splitRight,[status(thm)],[c_95278]) ).
tff(c_95298,plain,
( ( b1 = a2 )
| ~ incident(a2,a2a3) ),
inference(resolution,[status(thm)],[c_95237,c_95295]) ).
tff(c_95318,plain,
b1 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_18,c_95298]) ).
tff(c_94506,plain,
( ( p3 = b1 )
| ~ incident(b1,a1a2) ),
inference(resolution,[status(thm)],[c_26,c_94470]) ).
tff(c_94509,plain,
~ incident(b1,a1a2),
inference(splitLeft,[status(thm)],[c_94506]) ).
tff(c_95336,plain,
~ incident(a2,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_95318,c_94509]) ).
tff(c_95345,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_95336]) ).
tff(c_95416,plain,
! [A_3280] :
( ( b1 = A_3280 )
| ~ incident(A_3280,b1b2)
| ~ incident(A_3280,a2a3) ),
inference(splitRight,[status(thm)],[c_94587]) ).
tff(c_95427,plain,
( ( b1 = a3 )
| ~ incident(a3,a2a3) ),
inference(resolution,[status(thm)],[c_89657,c_95416]) ).
tff(c_95448,plain,
b1 = a3,
inference(demodulation,[status(thm),theory(equality)],[c_20,c_95427]) ).
tff(c_94510,plain,
! [C_3248,A_3249] :
( ( b3b1 = C_3248 )
| ( p2 = A_3249 )
| ~ incident(p2,C_3248)
| ~ incident(A_3249,b3b1)
| ~ incident(A_3249,C_3248) ),
inference(resolution,[status(thm)],[c_66,c_89750]) ).
tff(c_94518,plain,
! [A_3249] :
( ( b3b1 = a3a1 )
| ( p2 = A_3249 )
| ~ incident(A_3249,b3b1)
| ~ incident(A_3249,a3a1) ),
inference(resolution,[status(thm)],[c_64,c_94510]) ).
tff(c_94534,plain,
! [A_3250] :
( ( p2 = A_3250 )
| ~ incident(A_3250,b3b1)
| ~ incident(A_3250,a3a1) ),
inference(negUnitSimplification,[status(thm)],[c_114,c_94518]) ).
tff(c_94562,plain,
( ( p2 = b1 )
| ~ incident(b1,a3a1) ),
inference(resolution,[status(thm)],[c_36,c_94534]) ).
tff(c_94564,plain,
~ incident(b1,a3a1),
inference(splitLeft,[status(thm)],[c_94562]) ).
tff(c_95463,plain,
~ incident(a3,a3a1),
inference(demodulation,[status(thm),theory(equality)],[c_95448,c_94564]) ).
tff(c_95474,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_22,c_95463]) ).
tff(c_95500,plain,
! [A_3283] :
( ( s = A_3283 )
| ~ incident(A_3283,s2)
| ~ incident(A_3283,s3) ),
inference(splitRight,[status(thm)],[c_89878]) ).
tff(c_95525,plain,
( ( s = a3 )
| ~ incident(a3,s2) ),
inference(resolution,[status(thm)],[c_48,c_95500]) ).
tff(c_95607,plain,
~ incident(a3,s2),
inference(splitLeft,[status(thm)],[c_95525]) ).
tff(c_95757,plain,
~ incident(a3,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_95756,c_95607]) ).
tff(c_95771,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_20,c_95757]) ).
tff(c_95774,plain,
! [A_3291] :
( ( b2 = A_3291 )
| ~ incident(A_3291,a2a3)
| ~ incident(A_3291,s2) ),
inference(splitRight,[status(thm)],[c_95755]) ).
tff(c_95791,plain,
( ( b2 = a2 )
| ~ incident(a2,a2a3) ),
inference(resolution,[status(thm)],[c_46,c_95774]) ).
tff(c_95805,plain,
b2 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_18,c_95791]) ).
tff(c_94507,plain,
( ( p3 = b2 )
| ~ incident(b2,a1a2) ),
inference(resolution,[status(thm)],[c_28,c_94470]) ).
tff(c_94532,plain,
~ incident(b2,a1a2),
inference(splitLeft,[status(thm)],[c_94507]) ).
tff(c_95833,plain,
~ incident(a2,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_95805,c_94532]) ).
tff(c_95844,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_95833]) ).
tff(c_95845,plain,
s = a3,
inference(splitRight,[status(thm)],[c_95525]) ).
tff(c_95852,plain,
incident(a3,s1),
inference(demodulation,[status(thm),theory(equality)],[c_95845,c_38]) ).
tff(c_94590,plain,
! [A_3252] :
( ( s1 = b1b2 )
| ( b1 = A_3252 )
| ~ incident(A_3252,b1b2)
| ~ incident(A_3252,s1) ),
inference(resolution,[status(thm)],[c_50,c_94566]) ).
tff(c_96182,plain,
! [A_3252] :
( ( s1 = a2a3 )
| ( b1 = A_3252 )
| ~ incident(A_3252,a2a3)
| ~ incident(A_3252,s1) ),
inference(demodulation,[status(thm),theory(equality)],[c_95531,c_95531,c_94590]) ).
tff(c_96183,plain,
s1 = a2a3,
inference(splitLeft,[status(thm)],[c_96182]) ).
tff(c_96186,plain,
~ incident(a2,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_96183,c_94508]) ).
tff(c_96195,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_18,c_96186]) ).
tff(c_96198,plain,
! [A_3306] :
( ( b1 = A_3306 )
| ~ incident(A_3306,a2a3)
| ~ incident(A_3306,s1) ),
inference(splitRight,[status(thm)],[c_96182]) ).
tff(c_96201,plain,
( ( b1 = a3 )
| ~ incident(a3,a2a3) ),
inference(resolution,[status(thm)],[c_95852,c_96198]) ).
tff(c_96218,plain,
b1 = a3,
inference(demodulation,[status(thm),theory(equality)],[c_20,c_96201]) ).
tff(c_96232,plain,
~ incident(a3,a3a1),
inference(demodulation,[status(thm),theory(equality)],[c_96218,c_94564]) ).
tff(c_96242,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_22,c_96232]) ).
tff(c_96297,plain,
! [A_3311] :
( ( b1 = A_3311 )
| ~ incident(A_3311,b1b2)
| ~ incident(A_3311,a2a3) ),
inference(splitRight,[status(thm)],[c_94587]) ).
tff(c_96308,plain,
( ( b1 = a3 )
| ~ incident(a3,a2a3) ),
inference(resolution,[status(thm)],[c_89657,c_96297]) ).
tff(c_96329,plain,
b1 = a3,
inference(demodulation,[status(thm),theory(equality)],[c_20,c_96308]) ).
tff(c_96344,plain,
~ incident(a3,a3a1),
inference(demodulation,[status(thm),theory(equality)],[c_96329,c_94564]) ).
tff(c_96355,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_22,c_96344]) ).
tff(c_96356,plain,
p2 = b1,
inference(splitRight,[status(thm)],[c_94562]) ).
tff(c_80467,plain,
incident(a3,b1b2),
inference(negUnitSimplification,[status(thm)],[c_71915,c_12]) ).
tff(c_80570,plain,
! [D_2779,C_2780,B_2781,A_2782] :
( ( D_2779 = C_2780 )
| ( B_2781 = A_2782 )
| ~ incident(B_2781,D_2779)
| ~ incident(B_2781,C_2780)
| ~ incident(A_2782,D_2779)
| ~ incident(A_2782,C_2780) ),
inference(cnfTransformation,[status(thm)],[f_153]) ).
tff(c_80699,plain,
! [C_2785,A_2786] :
( ( b1b2 = C_2785 )
| ( b1 = A_2786 )
| ~ incident(b1,C_2785)
| ~ incident(A_2786,b1b2)
| ~ incident(A_2786,C_2785) ),
inference(resolution,[status(thm)],[c_26,c_80570]) ).
tff(c_80720,plain,
! [A_2786] :
( ( b1b2 = a2a3 )
| ( b1 = A_2786 )
| ~ incident(A_2786,b1b2)
| ~ incident(A_2786,a2a3) ),
inference(resolution,[status(thm)],[c_71674,c_80699]) ).
tff(c_81145,plain,
b1b2 = a2a3,
inference(splitLeft,[status(thm)],[c_80720]) ).
tff(c_71918,plain,
~ incident(p1,b1b2),
inference(splitLeft,[status(thm)],[c_131]) ).
tff(c_81148,plain,
~ incident(p1,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_81145,c_71918]) ).
tff(c_81157,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_60,c_81148]) ).
tff(c_81161,plain,
! [A_2799] :
( ( b1 = A_2799 )
| ~ incident(A_2799,b1b2)
| ~ incident(A_2799,a2a3) ),
inference(splitRight,[status(thm)],[c_80720]) ).
tff(c_81172,plain,
( ( b1 = a3 )
| ~ incident(a3,a2a3) ),
inference(resolution,[status(thm)],[c_80467,c_81161]) ).
tff(c_81190,plain,
b1 = a3,
inference(demodulation,[status(thm),theory(equality)],[c_20,c_81172]) ).
tff(c_81234,plain,
b3 != a3,
inference(demodulation,[status(thm),theory(equality)],[c_81190,c_117]) ).
tff(c_81232,plain,
incident(a3,b3b1),
inference(demodulation,[status(thm),theory(equality)],[c_81190,c_36]) ).
tff(c_82821,plain,
! [C_2855,A_2856] :
( ( b3b1 = C_2855 )
| ( b3 = A_2856 )
| ~ incident(b3,C_2855)
| ~ incident(A_2856,b3b1)
| ~ incident(A_2856,C_2855) ),
inference(resolution,[status(thm)],[c_34,c_80570]) ).
tff(c_82843,plain,
! [A_2856] :
( ( s3 = b3b1 )
| ( b3 = A_2856 )
| ~ incident(A_2856,b3b1)
| ~ incident(A_2856,s3) ),
inference(resolution,[status(thm)],[c_54,c_82821]) ).
tff(c_83731,plain,
s3 = b3b1,
inference(splitLeft,[status(thm)],[c_82843]) ).
tff(c_83735,plain,
incident(s,b3b1),
inference(demodulation,[status(thm),theory(equality)],[c_83731,c_42]) ).
tff(c_81199,plain,
! [C_2800,A_2801] :
( ( s1 = C_2800 )
| ( b1 = A_2801 )
| ~ incident(b1,C_2800)
| ~ incident(A_2801,s1)
| ~ incident(A_2801,C_2800) ),
inference(resolution,[status(thm)],[c_50,c_80570]) ).
tff(c_81224,plain,
! [A_2801] :
( ( s1 = b3b1 )
| ( b1 = A_2801 )
| ~ incident(A_2801,s1)
| ~ incident(A_2801,b3b1) ),
inference(resolution,[status(thm)],[c_36,c_81199]) ).
tff(c_83839,plain,
! [A_2801] :
( ( s1 = b3b1 )
| ( a3 = A_2801 )
| ~ incident(A_2801,s1)
| ~ incident(A_2801,b3b1) ),
inference(demodulation,[status(thm),theory(equality)],[c_81190,c_81224]) ).
tff(c_83840,plain,
s1 = b3b1,
inference(splitLeft,[status(thm)],[c_83839]) ).
tff(c_83868,plain,
incident(a1,b3b1),
inference(demodulation,[status(thm),theory(equality)],[c_83840,c_44]) ).
tff(c_80672,plain,
! [C_2780,A_2782] :
( ( b3b1 = C_2780 )
| ( b1 = A_2782 )
| ~ incident(b1,C_2780)
| ~ incident(A_2782,b3b1)
| ~ incident(A_2782,C_2780) ),
inference(resolution,[status(thm)],[c_36,c_80570]) ).
tff(c_83498,plain,
! [C_2877,A_2878] :
( ( b3b1 = C_2877 )
| ( a3 = A_2878 )
| ~ incident(a3,C_2877)
| ~ incident(A_2878,b3b1)
| ~ incident(A_2878,C_2877) ),
inference(demodulation,[status(thm),theory(equality)],[c_81190,c_81190,c_80672]) ).
tff(c_83516,plain,
! [A_2878] :
( ( b3b1 = a3a1 )
| ( a3 = A_2878 )
| ~ incident(A_2878,b3b1)
| ~ incident(A_2878,a3a1) ),
inference(resolution,[status(thm)],[c_22,c_83498]) ).
tff(c_83532,plain,
! [A_2878] :
( ( a3 = A_2878 )
| ~ incident(A_2878,b3b1)
| ~ incident(A_2878,a3a1) ),
inference(negUnitSimplification,[status(thm)],[c_114,c_83516]) ).
tff(c_83903,plain,
( ( a3 = a1 )
| ~ incident(a1,a3a1) ),
inference(resolution,[status(thm)],[c_83868,c_83532]) ).
tff(c_83923,plain,
a3 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_24,c_83903]) ).
tff(c_83925,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_120,c_83923]) ).
tff(c_83928,plain,
! [A_2890] :
( ( a3 = A_2890 )
| ~ incident(A_2890,s1)
| ~ incident(A_2890,b3b1) ),
inference(splitRight,[status(thm)],[c_83839]) ).
tff(c_83942,plain,
( ( s = a3 )
| ~ incident(s,b3b1) ),
inference(resolution,[status(thm)],[c_38,c_83928]) ).
tff(c_83958,plain,
s = a3,
inference(demodulation,[status(thm),theory(equality)],[c_83735,c_83942]) ).
tff(c_83762,plain,
( ( s = a3 )
| ~ incident(s,a3a1) ),
inference(resolution,[status(thm)],[c_83735,c_83532]) ).
tff(c_83771,plain,
~ incident(s,a3a1),
inference(splitLeft,[status(thm)],[c_83762]) ).
tff(c_83963,plain,
~ incident(a3,a3a1),
inference(demodulation,[status(thm),theory(equality)],[c_83958,c_83771]) ).
tff(c_83974,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_22,c_83963]) ).
tff(c_83975,plain,
s = a3,
inference(splitRight,[status(thm)],[c_83762]) ).
tff(c_80723,plain,
! [A_2786] :
( ( s1 = b1b2 )
| ( b1 = A_2786 )
| ~ incident(A_2786,b1b2)
| ~ incident(A_2786,s1) ),
inference(resolution,[status(thm)],[c_50,c_80699]) ).
tff(c_83408,plain,
! [A_2786] :
( ( s1 = b1b2 )
| ( a3 = A_2786 )
| ~ incident(A_2786,b1b2)
| ~ incident(A_2786,s1) ),
inference(demodulation,[status(thm),theory(equality)],[c_81190,c_80723]) ).
tff(c_83409,plain,
s1 = b1b2,
inference(splitLeft,[status(thm)],[c_83408]) ).
tff(c_80750,plain,
b1b2 = a2a3,
inference(splitLeft,[status(thm)],[c_80720]) ).
tff(c_80753,plain,
~ incident(p1,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_80750,c_71918]) ).
tff(c_80762,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_60,c_80753]) ).
tff(c_80778,plain,
! [A_2787] :
( ( b1 = A_2787 )
| ~ incident(A_2787,b1b2)
| ~ incident(A_2787,a2a3) ),
inference(splitRight,[status(thm)],[c_80720]) ).
tff(c_80789,plain,
( ( b1 = a3 )
| ~ incident(a3,a2a3) ),
inference(resolution,[status(thm)],[c_80467,c_80778]) ).
tff(c_80807,plain,
b1 = a3,
inference(demodulation,[status(thm),theory(equality)],[c_20,c_80789]) ).
tff(c_80823,plain,
b2 != a3,
inference(demodulation,[status(thm),theory(equality)],[c_80807,c_119]) ).
tff(c_80676,plain,
! [C_2783,A_2784] :
( ( s2 = C_2783 )
| ( s = A_2784 )
| ~ incident(s,C_2783)
| ~ incident(A_2784,s2)
| ~ incident(A_2784,C_2783) ),
inference(resolution,[status(thm)],[c_40,c_80570]) ).
tff(c_80697,plain,
! [A_2784] :
( ( s2 = s1 )
| ( s = A_2784 )
| ~ incident(A_2784,s2)
| ~ incident(A_2784,s1) ),
inference(resolution,[status(thm)],[c_38,c_80676]) ).
tff(c_80725,plain,
s2 = s1,
inference(splitLeft,[status(thm)],[c_80697]) ).
tff(c_80729,plain,
incident(b2,s1),
inference(demodulation,[status(thm),theory(equality)],[c_80725,c_52]) ).
tff(c_80915,plain,
! [A_2786] :
( ( s1 = b1b2 )
| ( a3 = A_2786 )
| ~ incident(A_2786,b1b2)
| ~ incident(A_2786,s1) ),
inference(demodulation,[status(thm),theory(equality)],[c_80807,c_80723]) ).
tff(c_80916,plain,
s1 = b1b2,
inference(splitLeft,[status(thm)],[c_80915]) ).
tff(c_80730,plain,
incident(a2,s1),
inference(demodulation,[status(thm),theory(equality)],[c_80725,c_46]) ).
tff(c_80951,plain,
incident(a2,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_80916,c_80730]) ).
tff(c_80763,plain,
! [A_2786] :
( ( b1 = A_2786 )
| ~ incident(A_2786,b1b2)
| ~ incident(A_2786,a2a3) ),
inference(splitRight,[status(thm)],[c_80720]) ).
tff(c_80816,plain,
! [A_2786] :
( ( a3 = A_2786 )
| ~ incident(A_2786,b1b2)
| ~ incident(A_2786,a2a3) ),
inference(demodulation,[status(thm),theory(equality)],[c_80807,c_80763]) ).
tff(c_81037,plain,
( ( a3 = a2 )
| ~ incident(a2,a2a3) ),
inference(resolution,[status(thm)],[c_80951,c_80816]) ).
tff(c_81048,plain,
a3 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_18,c_81037]) ).
tff(c_81050,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_121,c_81048]) ).
tff(c_81053,plain,
! [A_2795] :
( ( a3 = A_2795 )
| ~ incident(A_2795,b1b2)
| ~ incident(A_2795,s1) ),
inference(splitRight,[status(thm)],[c_80915]) ).
tff(c_81062,plain,
( ( b2 = a3 )
| ~ incident(b2,b1b2) ),
inference(resolution,[status(thm)],[c_80729,c_81053]) ).
tff(c_81086,plain,
b2 = a3,
inference(demodulation,[status(thm),theory(equality)],[c_28,c_81062]) ).
tff(c_81088,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80823,c_81086]) ).
tff(c_81114,plain,
! [A_2798] :
( ( s = A_2798 )
| ~ incident(A_2798,s2)
| ~ incident(A_2798,s1) ),
inference(splitRight,[status(thm)],[c_80697]) ).
tff(c_81142,plain,
( ( s = b2 )
| ~ incident(b2,s1) ),
inference(resolution,[status(thm)],[c_52,c_81114]) ).
tff(c_81144,plain,
~ incident(b2,s1),
inference(splitLeft,[status(thm)],[c_81142]) ).
tff(c_83414,plain,
~ incident(b2,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_83409,c_81144]) ).
tff(c_83423,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_28,c_83414]) ).
tff(c_83465,plain,
! [A_2876] :
( ( a3 = A_2876 )
| ~ incident(A_2876,b1b2)
| ~ incident(A_2876,s1) ),
inference(splitRight,[status(thm)],[c_83408]) ).
tff(c_83493,plain,
( ( s = a3 )
| ~ incident(s,b1b2) ),
inference(resolution,[status(thm)],[c_38,c_83465]) ).
tff(c_83533,plain,
~ incident(s,b1b2),
inference(splitLeft,[status(thm)],[c_83493]) ).
tff(c_83978,plain,
~ incident(a3,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_83975,c_83533]) ).
tff(c_83988,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_80467,c_83978]) ).
tff(c_83991,plain,
! [A_2891] :
( ( b3 = A_2891 )
| ~ incident(A_2891,b3b1)
| ~ incident(A_2891,s3) ),
inference(splitRight,[status(thm)],[c_82843]) ).
tff(c_84005,plain,
( ( b3 = a3 )
| ~ incident(a3,b3b1) ),
inference(resolution,[status(thm)],[c_48,c_83991]) ).
tff(c_84021,plain,
b3 = a3,
inference(demodulation,[status(thm),theory(equality)],[c_81232,c_84005]) ).
tff(c_84023,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_81234,c_84021]) ).
tff(c_84024,plain,
s = a3,
inference(splitRight,[status(thm)],[c_83493]) ).
tff(c_81220,plain,
! [A_2801] :
( ( s1 = a2a3 )
| ( b1 = A_2801 )
| ~ incident(A_2801,s1)
| ~ incident(A_2801,a2a3) ),
inference(resolution,[status(thm)],[c_71674,c_81199]) ).
tff(c_82772,plain,
! [A_2801] :
( ( s1 = a2a3 )
| ( a3 = A_2801 )
| ~ incident(A_2801,s1)
| ~ incident(A_2801,a2a3) ),
inference(demodulation,[status(thm),theory(equality)],[c_81190,c_81220]) ).
tff(c_82773,plain,
s1 = a2a3,
inference(splitLeft,[status(thm)],[c_82772]) ).
tff(c_81143,plain,
( ( s = a2 )
| ~ incident(a2,s1) ),
inference(resolution,[status(thm)],[c_46,c_81114]) ).
tff(c_81160,plain,
~ incident(a2,s1),
inference(splitLeft,[status(thm)],[c_81143]) ).
tff(c_82775,plain,
~ incident(a2,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_82773,c_81160]) ).
tff(c_82785,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_18,c_82775]) ).
tff(c_82788,plain,
! [A_2854] :
( ( a3 = A_2854 )
| ~ incident(A_2854,s1)
| ~ incident(A_2854,a2a3) ),
inference(splitRight,[status(thm)],[c_82772]) ).
tff(c_82816,plain,
( ( s = a3 )
| ~ incident(s,a2a3) ),
inference(resolution,[status(thm)],[c_38,c_82788]) ).
tff(c_82820,plain,
~ incident(s,a2a3),
inference(splitLeft,[status(thm)],[c_82816]) ).
tff(c_84026,plain,
~ incident(a3,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_84024,c_82820]) ).
tff(c_84035,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_20,c_84026]) ).
tff(c_84036,plain,
s = a3,
inference(splitRight,[status(thm)],[c_82816]) ).
tff(c_84067,plain,
incident(a3,s2),
inference(demodulation,[status(thm),theory(equality)],[c_84036,c_40]) ).
tff(c_81181,plain,
( ( b2 = b1 )
| ~ incident(b2,a2a3) ),
inference(resolution,[status(thm)],[c_28,c_81161]) ).
tff(c_81198,plain,
~ incident(b2,a2a3),
inference(negUnitSimplification,[status(thm)],[c_119,c_81181]) ).
tff(c_81091,plain,
! [C_2796,A_2797] :
( ( a2a3 = C_2796 )
| ( a2 = A_2797 )
| ~ incident(a2,C_2796)
| ~ incident(A_2797,a2a3)
| ~ incident(A_2797,C_2796) ),
inference(resolution,[status(thm)],[c_18,c_80570]) ).
tff(c_81113,plain,
! [A_2797] :
( ( s2 = a2a3 )
| ( a2 = A_2797 )
| ~ incident(A_2797,a2a3)
| ~ incident(A_2797,s2) ),
inference(resolution,[status(thm)],[c_46,c_81091]) ).
tff(c_84426,plain,
s2 = a2a3,
inference(splitLeft,[status(thm)],[c_81113]) ).
tff(c_84431,plain,
incident(b2,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_84426,c_52]) ).
tff(c_84436,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_81198,c_84431]) ).
tff(c_84439,plain,
! [A_2906] :
( ( a2 = A_2906 )
| ~ incident(A_2906,a2a3)
| ~ incident(A_2906,s2) ),
inference(splitRight,[status(thm)],[c_81113]) ).
tff(c_84442,plain,
( ( a3 = a2 )
| ~ incident(a3,a2a3) ),
inference(resolution,[status(thm)],[c_84067,c_84439]) ).
tff(c_84459,plain,
a3 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_20,c_84442]) ).
tff(c_84461,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_121,c_84459]) ).
tff(c_84463,plain,
incident(a2,s1),
inference(splitRight,[status(thm)],[c_81143]) ).
tff(c_84723,plain,
! [C_2914,A_2915] :
( ( b1b2 = C_2914 )
| ( p3 = A_2915 )
| ~ incident(p3,C_2914)
| ~ incident(A_2915,b1b2)
| ~ incident(A_2915,C_2914) ),
inference(resolution,[status(thm)],[c_58,c_80570]) ).
tff(c_84731,plain,
! [A_2915] :
( ( b1b2 = a1a2 )
| ( p3 = A_2915 )
| ~ incident(A_2915,b1b2)
| ~ incident(A_2915,a1a2) ),
inference(resolution,[status(thm)],[c_56,c_84723]) ).
tff(c_84745,plain,
! [A_2916] :
( ( p3 = A_2916 )
| ~ incident(A_2916,b1b2)
| ~ incident(A_2916,a1a2) ),
inference(negUnitSimplification,[status(thm)],[c_116,c_84731]) ).
tff(c_84769,plain,
( ( p3 = a3 )
| ~ incident(a3,a1a2) ),
inference(resolution,[status(thm)],[c_80467,c_84745]) ).
tff(c_84827,plain,
~ incident(a3,a1a2),
inference(splitLeft,[status(thm)],[c_84769]) ).
tff(c_85289,plain,
! [C_2932,A_2933] :
( ( a1a2 = C_2932 )
| ( a1 = A_2933 )
| ~ incident(a1,C_2932)
| ~ incident(A_2933,a1a2)
| ~ incident(A_2933,C_2932) ),
inference(resolution,[status(thm)],[c_14,c_80570]) ).
tff(c_85310,plain,
! [A_2933] :
( ( s1 = a1a2 )
| ( a1 = A_2933 )
| ~ incident(A_2933,a1a2)
| ~ incident(A_2933,s1) ),
inference(resolution,[status(thm)],[c_44,c_85289]) ).
tff(c_85504,plain,
s1 = a1a2,
inference(splitLeft,[status(thm)],[c_85310]) ).
tff(c_84563,plain,
! [A_2911] :
( ( b1 = A_2911 )
| ~ incident(A_2911,b1b2)
| ~ incident(A_2911,a2a3) ),
inference(splitRight,[status(thm)],[c_80720]) ).
tff(c_84574,plain,
( ( b1 = a3 )
| ~ incident(a3,a2a3) ),
inference(resolution,[status(thm)],[c_80467,c_84563]) ).
tff(c_84592,plain,
b1 = a3,
inference(demodulation,[status(thm),theory(equality)],[c_20,c_84574]) ).
tff(c_84607,plain,
incident(a3,s1),
inference(demodulation,[status(thm),theory(equality)],[c_84592,c_50]) ).
tff(c_85506,plain,
incident(a3,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_85504,c_84607]) ).
tff(c_85514,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84827,c_85506]) ).
tff(c_85518,plain,
! [A_2939] :
( ( a1 = A_2939 )
| ~ incident(A_2939,a1a2)
| ~ incident(A_2939,s1) ),
inference(splitRight,[status(thm)],[c_85310]) ).
tff(c_85524,plain,
( ( a2 = a1 )
| ~ incident(a2,a1a2) ),
inference(resolution,[status(thm)],[c_84463,c_85518]) ).
tff(c_85540,plain,
a2 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_85524]) ).
tff(c_85542,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_122,c_85540]) ).
tff(c_85543,plain,
p3 = a3,
inference(splitRight,[status(thm)],[c_84769]) ).
tff(c_84593,plain,
( ( p3 = b1 )
| ~ incident(p3,a2a3) ),
inference(resolution,[status(thm)],[c_58,c_84563]) ).
tff(c_84677,plain,
( ( p3 = a3 )
| ~ incident(p3,a2a3) ),
inference(demodulation,[status(thm),theory(equality)],[c_84592,c_84593]) ).
tff(c_84678,plain,
~ incident(p3,a2a3),
inference(splitLeft,[status(thm)],[c_84677]) ).
tff(c_85547,plain,
~ incident(a3,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_85543,c_84678]) ).
tff(c_85553,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_20,c_85547]) ).
tff(c_85554,plain,
p3 = a3,
inference(splitRight,[status(thm)],[c_84677]) ).
tff(c_85885,plain,
incident(a3,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_85554,c_56]) ).
tff(c_84608,plain,
incident(a3,b3b1),
inference(demodulation,[status(thm),theory(equality)],[c_84592,c_36]) ).
tff(c_86383,plain,
! [C_2965,A_2966] :
( ( a3a1 = C_2965 )
| ( p2 = A_2966 )
| ~ incident(p2,C_2965)
| ~ incident(A_2966,a3a1)
| ~ incident(A_2966,C_2965) ),
inference(resolution,[status(thm)],[c_64,c_80570]) ).
tff(c_86393,plain,
! [A_2966] :
( ( b3b1 = a3a1 )
| ( p2 = A_2966 )
| ~ incident(A_2966,a3a1)
| ~ incident(A_2966,b3b1) ),
inference(resolution,[status(thm)],[c_66,c_86383]) ).
tff(c_86406,plain,
! [A_2967] :
( ( p2 = A_2967 )
| ~ incident(A_2967,a3a1)
| ~ incident(A_2967,b3b1) ),
inference(negUnitSimplification,[status(thm)],[c_114,c_86393]) ).
tff(c_86409,plain,
( ( p2 = a3 )
| ~ incident(a3,a3a1) ),
inference(resolution,[status(thm)],[c_84608,c_86406]) ).
tff(c_86426,plain,
p2 = a3,
inference(demodulation,[status(thm),theory(equality)],[c_22,c_86409]) ).
tff(c_84610,plain,
b3 != a3,
inference(demodulation,[status(thm),theory(equality)],[c_84592,c_117]) ).
tff(c_80724,plain,
! [A_2786] :
( ( b3b1 = b1b2 )
| ( b1 = A_2786 )
| ~ incident(A_2786,b1b2)
| ~ incident(A_2786,b3b1) ),
inference(resolution,[status(thm)],[c_36,c_80699]) ).
tff(c_86293,plain,
! [A_2786] :
( ( b3b1 = b1b2 )
| ( a3 = A_2786 )
| ~ incident(A_2786,b1b2)
| ~ incident(A_2786,b3b1) ),
inference(demodulation,[status(thm),theory(equality)],[c_84592,c_80724]) ).
tff(c_86294,plain,
b3b1 = b1b2,
inference(splitLeft,[status(thm)],[c_86293]) ).
tff(c_86301,plain,
incident(b3,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_86294,c_34]) ).
tff(c_80656,plain,
! [C_2780,A_2782] :
( ( b1b2 = C_2780 )
| ( p3 = A_2782 )
| ~ incident(p3,C_2780)
| ~ incident(A_2782,b1b2)
| ~ incident(A_2782,C_2780) ),
inference(resolution,[status(thm)],[c_58,c_80570]) ).
tff(c_85894,plain,
! [C_2780,A_2782] :
( ( b1b2 = C_2780 )
| ( a3 = A_2782 )
| ~ incident(a3,C_2780)
| ~ incident(A_2782,b1b2)
| ~ incident(A_2782,C_2780) ),
inference(demodulation,[status(thm),theory(equality)],[c_85554,c_85554,c_80656]) ).
tff(c_85931,plain,
! [A_2782] :
( ( b1b2 = a1a2 )
| ( a3 = A_2782 )
| ~ incident(A_2782,b1b2)
| ~ incident(A_2782,a1a2) ),
inference(resolution,[status(thm)],[c_85885,c_85894]) ).
tff(c_85944,plain,
! [A_2782] :
( ( a3 = A_2782 )
| ~ incident(A_2782,b1b2)
| ~ incident(A_2782,a1a2) ),
inference(negUnitSimplification,[status(thm)],[c_116,c_85931]) ).
tff(c_86331,plain,
( ( b3 = a3 )
| ~ incident(b3,a1a2) ),
inference(resolution,[status(thm)],[c_86301,c_85944]) ).
tff(c_86346,plain,
b3 = a3,
inference(demodulation,[status(thm),theory(equality)],[c_71916,c_86331]) ).
tff(c_86348,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84610,c_86346]) ).
tff(c_86351,plain,
! [A_2964] :
( ( a3 = A_2964 )
| ~ incident(A_2964,b1b2)
| ~ incident(A_2964,b3b1) ),
inference(splitRight,[status(thm)],[c_86293]) ).
tff(c_86379,plain,
( ( p2 = a3 )
| ~ incident(p2,b1b2) ),
inference(resolution,[status(thm)],[c_66,c_86351]) ).
tff(c_86405,plain,
~ incident(p2,b1b2),
inference(splitLeft,[status(thm)],[c_86379]) ).
tff(c_86439,plain,
~ incident(a3,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_86426,c_86405]) ).
tff(c_86451,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_80467,c_86439]) ).
tff(c_86452,plain,
p2 = a3,
inference(splitRight,[status(thm)],[c_86379]) ).
tff(c_85574,plain,
incident(a3,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_85554,c_56]) ).
tff(c_84535,plain,
! [C_2909,A_2910] :
( ( a2a3 = C_2909 )
| ( b1 = A_2910 )
| ~ incident(b1,C_2909)
| ~ incident(A_2910,a2a3)
| ~ incident(A_2910,C_2909) ),
inference(resolution,[status(thm)],[c_71674,c_80570]) ).
tff(c_84562,plain,
! [A_2910] :
( ( b3b1 = a2a3 )
| ( b1 = A_2910 )
| ~ incident(A_2910,a2a3)
| ~ incident(A_2910,b3b1) ),
inference(resolution,[status(thm)],[c_36,c_84535]) ).
tff(c_85556,plain,
! [A_2910] :
( ( b3b1 = a2a3 )
| ( a3 = A_2910 )
| ~ incident(A_2910,a2a3)
| ~ incident(A_2910,b3b1) ),
inference(demodulation,[status(thm),theory(equality)],[c_84592,c_84562]) ).
tff(c_85557,plain,
b3b1 = a2a3,
inference(splitLeft,[status(thm)],[c_85556]) ).
tff(c_85560,plain,
incident(p2,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_85557,c_66]) ).
tff(c_85562,plain,
a3a1 != a2a3,
inference(demodulation,[status(thm),theory(equality)],[c_85557,c_114]) ).
tff(c_85745,plain,
! [C_2944,A_2945] :
( ( a2a3 = C_2944 )
| ( a3 = A_2945 )
| ~ incident(a3,C_2944)
| ~ incident(A_2945,a2a3)
| ~ incident(A_2945,C_2944) ),
inference(demodulation,[status(thm),theory(equality)],[c_85557,c_84592,c_84592,c_85557,c_80672]) ).
tff(c_85763,plain,
! [A_2945] :
( ( a3a1 = a2a3 )
| ( a3 = A_2945 )
| ~ incident(A_2945,a2a3)
| ~ incident(A_2945,a3a1) ),
inference(resolution,[status(thm)],[c_22,c_85745]) ).
tff(c_85834,plain,
! [A_2948] :
( ( a3 = A_2948 )
| ~ incident(A_2948,a2a3)
| ~ incident(A_2948,a3a1) ),
inference(negUnitSimplification,[status(thm)],[c_85562,c_85763]) ).
tff(c_85845,plain,
( ( p2 = a3 )
| ~ incident(p2,a2a3) ),
inference(resolution,[status(thm)],[c_64,c_85834]) ).
tff(c_85860,plain,
p2 = a3,
inference(demodulation,[status(thm),theory(equality)],[c_85560,c_85845]) ).
tff(c_72161,plain,
! [D_2486,C_2487,B_2488,A_2489] :
( ( D_2486 = C_2487 )
| ( B_2488 = A_2489 )
| ~ incident(B_2488,D_2486)
| ~ incident(B_2488,C_2487)
| ~ incident(A_2489,D_2486)
| ~ incident(A_2489,C_2487) ),
inference(cnfTransformation,[status(thm)],[f_153]) ).
tff(c_72905,plain,
! [C_2509,A_2510] :
( ( a2a3 = C_2509 )
| ( p1 = A_2510 )
| ~ incident(p1,C_2509)
| ~ incident(A_2510,a2a3)
| ~ incident(A_2510,C_2509) ),
inference(resolution,[status(thm)],[c_60,c_72161]) ).
tff(c_72915,plain,
! [A_2510] :
( ( b2b3 = a2a3 )
| ( p1 = A_2510 )
| ~ incident(A_2510,a2a3)
| ~ incident(A_2510,b2b3) ),
inference(resolution,[status(thm)],[c_62,c_72905]) ).
tff(c_78506,plain,
! [A_2698] :
( ( p1 = A_2698 )
| ~ incident(A_2698,a2a3)
| ~ incident(A_2698,b2b3) ),
inference(negUnitSimplification,[status(thm)],[c_115,c_72915]) ).
tff(c_78534,plain,
( ( p1 = b3 )
| ~ incident(b3,a2a3) ),
inference(resolution,[status(thm)],[c_32,c_78506]) ).
tff(c_78536,plain,
~ incident(b3,a2a3),
inference(splitLeft,[status(thm)],[c_78534]) ).
tff(c_72264,plain,
! [C_2490,A_2491] :
( ( s2 = C_2490 )
| ( s = A_2491 )
| ~ incident(s,C_2490)
| ~ incident(A_2491,s2)
| ~ incident(A_2491,C_2490) ),
inference(resolution,[status(thm)],[c_40,c_72161]) ).
tff(c_72285,plain,
! [A_2491] :
( ( s2 = s1 )
| ( s = A_2491 )
| ~ incident(A_2491,s2)
| ~ incident(A_2491,s1) ),
inference(resolution,[status(thm)],[c_38,c_72264]) ).
tff(c_72287,plain,
s2 = s1,
inference(splitLeft,[status(thm)],[c_72285]) ).
tff(c_72291,plain,
incident(b2,s1),
inference(demodulation,[status(thm),theory(equality)],[c_72287,c_52]) ).
tff(c_72523,plain,
! [C_2498,A_2499] :
( ( s1 = C_2498 )
| ( b1 = A_2499 )
| ~ incident(b1,C_2498)
| ~ incident(A_2499,s1)
| ~ incident(A_2499,C_2498) ),
inference(resolution,[status(thm)],[c_50,c_72161]) ).
tff(c_72545,plain,
! [A_2499] :
( ( s1 = b1b2 )
| ( b1 = A_2499 )
| ~ incident(A_2499,s1)
| ~ incident(A_2499,b1b2) ),
inference(resolution,[status(thm)],[c_26,c_72523]) ).
tff(c_72550,plain,
s1 = b1b2,
inference(splitLeft,[status(thm)],[c_72545]) ).
tff(c_72292,plain,
incident(a2,s1),
inference(demodulation,[status(thm),theory(equality)],[c_72287,c_46]) ).
tff(c_72626,plain,
incident(a2,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_72550,c_72292]) ).
tff(c_72544,plain,
! [A_2499] :
( ( s1 = a2a3 )
| ( b1 = A_2499 )
| ~ incident(A_2499,s1)
| ~ incident(A_2499,a2a3) ),
inference(resolution,[status(thm)],[c_71674,c_72523]) ).
tff(c_72551,plain,
s1 = a2a3,
inference(splitLeft,[status(thm)],[c_72544]) ).
tff(c_72571,plain,
b1b2 = a2a3,
inference(demodulation,[status(thm),theory(equality)],[c_72551,c_72550]) ).
tff(c_72587,plain,
~ incident(p1,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_72571,c_71918]) ).
tff(c_72596,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_60,c_72587]) ).
tff(c_72597,plain,
! [A_2499] :
( ( b1 = A_2499 )
| ~ incident(A_2499,s1)
| ~ incident(A_2499,a2a3) ),
inference(splitRight,[status(thm)],[c_72544]) ).
tff(c_72754,plain,
! [A_2506] :
( ( b1 = A_2506 )
| ~ incident(A_2506,b1b2)
| ~ incident(A_2506,a2a3) ),
inference(demodulation,[status(thm),theory(equality)],[c_72550,c_72597]) ).
tff(c_72757,plain,
( ( b1 = a2 )
| ~ incident(a2,a2a3) ),
inference(resolution,[status(thm)],[c_72626,c_72754]) ).
tff(c_72789,plain,
b1 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_18,c_72757]) ).
tff(c_72078,plain,
incident(a3,b1b2),
inference(negUnitSimplification,[status(thm)],[c_71915,c_12]) ).
tff(c_72777,plain,
( ( b1 = a3 )
| ~ incident(a3,a2a3) ),
inference(resolution,[status(thm)],[c_72078,c_72754]) ).
tff(c_72802,plain,
b1 = a3,
inference(demodulation,[status(thm),theory(equality)],[c_20,c_72777]) ).
tff(c_72826,plain,
a3 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_72789,c_72802]) ).
tff(c_72828,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_121,c_72826]) ).
tff(c_72831,plain,
! [A_2507] :
( ( b1 = A_2507 )
| ~ incident(A_2507,s1)
| ~ incident(A_2507,b1b2) ),
inference(splitRight,[status(thm)],[c_72545]) ).
tff(c_72843,plain,
( ( b2 = b1 )
| ~ incident(b2,b1b2) ),
inference(resolution,[status(thm)],[c_72291,c_72831]) ).
tff(c_72870,plain,
b2 = b1,
inference(demodulation,[status(thm),theory(equality)],[c_28,c_72843]) ).
tff(c_72872,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_119,c_72870]) ).
tff(c_72875,plain,
! [A_2508] :
( ( s = A_2508 )
| ~ incident(A_2508,s2)
| ~ incident(A_2508,s1) ),
inference(splitRight,[status(thm)],[c_72285]) ).
tff(c_72904,plain,
( ( s = a2 )
| ~ incident(a2,s1) ),
inference(resolution,[status(thm)],[c_46,c_72875]) ).
tff(c_72928,plain,
~ incident(a2,s1),
inference(splitLeft,[status(thm)],[c_72904]) ).
tff(c_72961,plain,
! [C_2512,A_2513] :
( ( b1b2 = C_2512 )
| ( b1 = A_2513 )
| ~ incident(b1,C_2512)
| ~ incident(A_2513,b1b2)
| ~ incident(A_2513,C_2512) ),
inference(resolution,[status(thm)],[c_26,c_72161]) ).
tff(c_72982,plain,
! [A_2513] :
( ( b1b2 = a2a3 )
| ( b1 = A_2513 )
| ~ incident(A_2513,b1b2)
| ~ incident(A_2513,a2a3) ),
inference(resolution,[status(thm)],[c_71674,c_72961]) ).
tff(c_76513,plain,
b1b2 = a2a3,
inference(splitLeft,[status(thm)],[c_72982]) ).
tff(c_76517,plain,
~ incident(p1,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_76513,c_71918]) ).
tff(c_76526,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_60,c_76517]) ).
tff(c_76557,plain,
! [A_2632] :
( ( b1 = A_2632 )
| ~ incident(A_2632,b1b2)
| ~ incident(A_2632,a2a3) ),
inference(splitRight,[status(thm)],[c_72982]) ).
tff(c_76568,plain,
( ( b1 = a3 )
| ~ incident(a3,a2a3) ),
inference(resolution,[status(thm)],[c_72078,c_76557]) ).
tff(c_76586,plain,
b1 = a3,
inference(demodulation,[status(thm),theory(equality)],[c_20,c_76568]) ).
tff(c_76629,plain,
incident(a3,s1),
inference(demodulation,[status(thm),theory(equality)],[c_76586,c_50]) ).
tff(c_75325,plain,
b1b2 = a2a3,
inference(splitLeft,[status(thm)],[c_72982]) ).
tff(c_75331,plain,
~ incident(p1,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_75325,c_71918]) ).
tff(c_75340,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_60,c_75331]) ).
tff(c_75343,plain,
! [A_2589] :
( ( b1 = A_2589 )
| ~ incident(A_2589,b1b2)
| ~ incident(A_2589,a2a3) ),
inference(splitRight,[status(thm)],[c_72982]) ).
tff(c_75354,plain,
( ( b1 = a3 )
| ~ incident(a3,a2a3) ),
inference(resolution,[status(thm)],[c_72078,c_75343]) ).
tff(c_75372,plain,
b1 = a3,
inference(demodulation,[status(thm),theory(equality)],[c_20,c_75354]) ).
tff(c_74814,plain,
! [C_2571,A_2572] :
( ( b3b1 = C_2571 )
| ( p2 = A_2572 )
| ~ incident(p2,C_2571)
| ~ incident(A_2572,b3b1)
| ~ incident(A_2572,C_2571) ),
inference(resolution,[status(thm)],[c_66,c_72161]) ).
tff(c_74822,plain,
! [A_2572] :
( ( b3b1 = a3a1 )
| ( p2 = A_2572 )
| ~ incident(A_2572,b3b1)
| ~ incident(A_2572,a3a1) ),
inference(resolution,[status(thm)],[c_64,c_74814]) ).
tff(c_74836,plain,
! [A_2573] :
( ( p2 = A_2573 )
| ~ incident(A_2573,b3b1)
| ~ incident(A_2573,a3a1) ),
inference(negUnitSimplification,[status(thm)],[c_114,c_74822]) ).
tff(c_74864,plain,
( ( p2 = b1 )
| ~ incident(b1,a3a1) ),
inference(resolution,[status(thm)],[c_36,c_74836]) ).
tff(c_74866,plain,
~ incident(b1,a3a1),
inference(splitLeft,[status(thm)],[c_74864]) ).
tff(c_75382,plain,
~ incident(a3,a3a1),
inference(demodulation,[status(thm),theory(equality)],[c_75372,c_74866]) ).
tff(c_75393,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_22,c_75382]) ).
tff(c_75394,plain,
p2 = b1,
inference(splitRight,[status(thm)],[c_74864]) ).
tff(c_74865,plain,
( ( p2 = b3 )
| ~ incident(b3,a3a1) ),
inference(resolution,[status(thm)],[c_34,c_74836]) ).
tff(c_75477,plain,
( ( b3 = b1 )
| ~ incident(b3,a3a1) ),
inference(demodulation,[status(thm),theory(equality)],[c_75394,c_74865]) ).
tff(c_75478,plain,
~ incident(b3,a3a1),
inference(negUnitSimplification,[status(thm)],[c_117,c_75477]) ).
tff(c_77349,plain,
! [C_2661,A_2662] :
( ( a3a1 = C_2661 )
| ( a1 = A_2662 )
| ~ incident(a1,C_2661)
| ~ incident(A_2662,a3a1)
| ~ incident(A_2662,C_2661) ),
inference(resolution,[status(thm)],[c_24,c_72161]) ).
tff(c_77369,plain,
! [A_2662] :
( ( s1 = a3a1 )
| ( a1 = A_2662 )
| ~ incident(A_2662,a3a1)
| ~ incident(A_2662,s1) ),
inference(resolution,[status(thm)],[c_44,c_77349]) ).
tff(c_77618,plain,
s1 = a3a1,
inference(splitLeft,[status(thm)],[c_77369]) ).
tff(c_77619,plain,
! [C_2669,A_2670] :
( ( s1 = C_2669 )
| ( s = A_2670 )
| ~ incident(s,C_2669)
| ~ incident(A_2670,s1)
| ~ incident(A_2670,C_2669) ),
inference(resolution,[status(thm)],[c_38,c_72161]) ).
tff(c_77642,plain,
! [A_2670] :
( ( s3 = s1 )
| ( s = A_2670 )
| ~ incident(A_2670,s1)
| ~ incident(A_2670,s3) ),
inference(resolution,[status(thm)],[c_42,c_77619]) ).
tff(c_77843,plain,
! [A_2670] :
( ( s3 = a3a1 )
| ( s = A_2670 )
| ~ incident(A_2670,a3a1)
| ~ incident(A_2670,s3) ),
inference(demodulation,[status(thm),theory(equality)],[c_77618,c_77618,c_77642]) ).
tff(c_77844,plain,
s3 = a3a1,
inference(splitLeft,[status(thm)],[c_77843]) ).
tff(c_77850,plain,
incident(b3,a3a1),
inference(demodulation,[status(thm),theory(equality)],[c_77844,c_54]) ).
tff(c_77855,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_75478,c_77850]) ).
tff(c_77858,plain,
! [A_2677] :
( ( s = A_2677 )
| ~ incident(A_2677,a3a1)
| ~ incident(A_2677,s3) ),
inference(splitRight,[status(thm)],[c_77843]) ).
tff(c_77872,plain,
( ( s = a3 )
| ~ incident(a3,a3a1) ),
inference(resolution,[status(thm)],[c_48,c_77858]) ).
tff(c_77885,plain,
s = a3,
inference(demodulation,[status(thm),theory(equality)],[c_22,c_77872]) ).
tff(c_75396,plain,
! [C_2590,A_2591] :
( ( s2 = C_2590 )
| ( a2 = A_2591 )
| ~ incident(a2,C_2590)
| ~ incident(A_2591,s2)
| ~ incident(A_2591,C_2590) ),
inference(resolution,[status(thm)],[c_46,c_72161]) ).
tff(c_75416,plain,
! [A_2591] :
( ( s2 = a2a3 )
| ( a2 = A_2591 )
| ~ incident(A_2591,s2)
| ~ incident(A_2591,a2a3) ),
inference(resolution,[status(thm)],[c_18,c_75396]) ).
tff(c_76958,plain,
s2 = a2a3,
inference(splitLeft,[status(thm)],[c_75416]) ).
tff(c_72286,plain,
! [A_2491] :
( ( s3 = s2 )
| ( s = A_2491 )
| ~ incident(A_2491,s2)
| ~ incident(A_2491,s3) ),
inference(resolution,[status(thm)],[c_42,c_72264]) ).
tff(c_72987,plain,
s3 = s2,
inference(splitLeft,[status(thm)],[c_72286]) ).
tff(c_72989,plain,
incident(b3,s2),
inference(demodulation,[status(thm),theory(equality)],[c_72987,c_54]) ).
tff(c_73166,plain,
! [C_2517,A_2518] :
( ( b1b2 = C_2517 )
| ( p3 = A_2518 )
| ~ incident(p3,C_2517)
| ~ incident(A_2518,b1b2)
| ~ incident(A_2518,C_2517) ),
inference(resolution,[status(thm)],[c_58,c_72161]) ).
tff(c_73174,plain,
! [A_2518] :
( ( b1b2 = a1a2 )
| ( p3 = A_2518 )
| ~ incident(A_2518,b1b2)
| ~ incident(A_2518,a1a2) ),
inference(resolution,[status(thm)],[c_56,c_73166]) ).
tff(c_73189,plain,
! [A_2519] :
( ( p3 = A_2519 )
| ~ incident(A_2519,b1b2)
| ~ incident(A_2519,a1a2) ),
inference(negUnitSimplification,[status(thm)],[c_116,c_73174]) ).
tff(c_73216,plain,
( ( p3 = a3 )
| ~ incident(a3,a1a2) ),
inference(resolution,[status(thm)],[c_72078,c_73189]) ).
tff(c_73225,plain,
~ incident(a3,a1a2),
inference(splitLeft,[status(thm)],[c_73216]) ).
tff(c_73688,plain,
! [C_2534,A_2535] :
( ( a1a2 = C_2534 )
| ( a2 = A_2535 )
| ~ incident(a2,C_2534)
| ~ incident(A_2535,a1a2)
| ~ incident(A_2535,C_2534) ),
inference(resolution,[status(thm)],[c_16,c_72161]) ).
tff(c_73710,plain,
! [A_2535] :
( ( s2 = a1a2 )
| ( a2 = A_2535 )
| ~ incident(A_2535,a1a2)
| ~ incident(A_2535,s2) ),
inference(resolution,[status(thm)],[c_46,c_73688]) ).
tff(c_73776,plain,
s2 = a1a2,
inference(splitLeft,[status(thm)],[c_73710]) ).
tff(c_72990,plain,
incident(a3,s2),
inference(demodulation,[status(thm),theory(equality)],[c_72987,c_48]) ).
tff(c_73779,plain,
incident(a3,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_73776,c_72990]) ).
tff(c_73787,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_73225,c_73779]) ).
tff(c_73790,plain,
! [A_2538] :
( ( a2 = A_2538 )
| ~ incident(A_2538,a1a2)
| ~ incident(A_2538,s2) ),
inference(splitRight,[status(thm)],[c_73710]) ).
tff(c_73796,plain,
( ( b3 = a2 )
| ~ incident(b3,a1a2) ),
inference(resolution,[status(thm)],[c_72989,c_73790]) ).
tff(c_73815,plain,
b3 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_71916,c_73796]) ).
tff(c_72929,plain,
! [A_2511] :
( ( p1 = A_2511 )
| ~ incident(A_2511,a2a3)
| ~ incident(A_2511,b2b3) ),
inference(negUnitSimplification,[status(thm)],[c_115,c_72915]) ).
tff(c_72957,plain,
( ( p1 = b3 )
| ~ incident(b3,a2a3) ),
inference(resolution,[status(thm)],[c_32,c_72929]) ).
tff(c_72959,plain,
~ incident(b3,a2a3),
inference(splitLeft,[status(thm)],[c_72957]) ).
tff(c_73860,plain,
~ incident(a2,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_73815,c_72959]) ).
tff(c_73868,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_18,c_73860]) ).
tff(c_73870,plain,
incident(a3,a1a2),
inference(splitRight,[status(thm)],[c_73216]) ).
tff(c_73015,plain,
b1b2 = a2a3,
inference(splitLeft,[status(thm)],[c_72982]) ).
tff(c_73018,plain,
~ incident(p1,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_73015,c_71918]) ).
tff(c_73027,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_60,c_73018]) ).
tff(c_73950,plain,
! [A_2544] :
( ( b1 = A_2544 )
| ~ incident(A_2544,b1b2)
| ~ incident(A_2544,a2a3) ),
inference(splitRight,[status(thm)],[c_72982]) ).
tff(c_73961,plain,
( ( b1 = a3 )
| ~ incident(a3,a2a3) ),
inference(resolution,[status(thm)],[c_72078,c_73950]) ).
tff(c_73976,plain,
b1 = a3,
inference(demodulation,[status(thm),theory(equality)],[c_20,c_73961]) ).
tff(c_73221,plain,
( ( p3 = b1 )
| ~ incident(b1,a1a2) ),
inference(resolution,[status(thm)],[c_26,c_73189]) ).
tff(c_73223,plain,
~ incident(b1,a1a2),
inference(splitLeft,[status(thm)],[c_73221]) ).
tff(c_73984,plain,
~ incident(a3,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_73976,c_73223]) ).
tff(c_73996,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_73870,c_73984]) ).
tff(c_73997,plain,
p3 = b1,
inference(splitRight,[status(thm)],[c_73221]) ).
tff(c_74038,plain,
( ( b1 = a3 )
| ~ incident(a3,a1a2) ),
inference(demodulation,[status(thm),theory(equality)],[c_73997,c_73216]) ).
tff(c_74039,plain,
~ incident(a3,a1a2),
inference(splitLeft,[status(thm)],[c_74038]) ).
tff(c_74276,plain,
! [A_2554] :
( ( b1 = A_2554 )
| ~ incident(A_2554,b1b2)
| ~ incident(A_2554,a2a3) ),
inference(splitRight,[status(thm)],[c_72982]) ).
tff(c_74287,plain,
( ( b1 = a3 )
| ~ incident(a3,a2a3) ),
inference(resolution,[status(thm)],[c_72078,c_74276]) ).
tff(c_74302,plain,
b1 = a3,
inference(demodulation,[status(thm),theory(equality)],[c_20,c_74287]) ).
tff(c_74007,plain,
incident(b1,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_73997,c_56]) ).
tff(c_74314,plain,
incident(a3,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_74302,c_74007]) ).
tff(c_74327,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74039,c_74314]) ).
tff(c_74328,plain,
b1 = a3,
inference(splitRight,[status(thm)],[c_74038]) ).
tff(c_74339,plain,
b2 != a3,
inference(demodulation,[status(thm),theory(equality)],[c_74328,c_119]) ).
tff(c_74340,plain,
b3 != a3,
inference(demodulation,[status(thm),theory(equality)],[c_74328,c_117]) ).
tff(c_72986,plain,
! [A_2513] :
( ( b3b1 = b1b2 )
| ( b1 = A_2513 )
| ~ incident(A_2513,b1b2)
| ~ incident(A_2513,b3b1) ),
inference(resolution,[status(thm)],[c_36,c_72961]) ).
tff(c_74564,plain,
! [A_2513] :
( ( b3b1 = b1b2 )
| ( a3 = A_2513 )
| ~ incident(A_2513,b1b2)
| ~ incident(A_2513,b3b1) ),
inference(demodulation,[status(thm),theory(equality)],[c_74328,c_72986]) ).
tff(c_74565,plain,
b3b1 = b1b2,
inference(splitLeft,[status(thm)],[c_74564]) ).
tff(c_74570,plain,
incident(b3,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_74565,c_34]) ).
tff(c_72247,plain,
! [C_2487,A_2489] :
( ( b1b2 = C_2487 )
| ( b1 = A_2489 )
| ~ incident(b1,C_2487)
| ~ incident(A_2489,b1b2)
| ~ incident(A_2489,C_2487) ),
inference(resolution,[status(thm)],[c_26,c_72161]) ).
tff(c_74019,plain,
! [A_2489] :
( ( b1b2 = a1a2 )
| ( b1 = A_2489 )
| ~ incident(A_2489,b1b2)
| ~ incident(A_2489,a1a2) ),
inference(resolution,[status(thm)],[c_74007,c_72247]) ).
tff(c_74031,plain,
! [A_2489] :
( ( b1 = A_2489 )
| ~ incident(A_2489,b1b2)
| ~ incident(A_2489,a1a2) ),
inference(negUnitSimplification,[status(thm)],[c_116,c_74019]) ).
tff(c_74446,plain,
! [A_2489] :
( ( a3 = A_2489 )
| ~ incident(A_2489,b1b2)
| ~ incident(A_2489,a1a2) ),
inference(demodulation,[status(thm),theory(equality)],[c_74328,c_74031]) ).
tff(c_74580,plain,
( ( b3 = a3 )
| ~ incident(b3,a1a2) ),
inference(resolution,[status(thm)],[c_74570,c_74446]) ).
tff(c_74594,plain,
b3 = a3,
inference(demodulation,[status(thm),theory(equality)],[c_71916,c_74580]) ).
tff(c_74596,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74340,c_74594]) ).
tff(c_74599,plain,
! [A_2563] :
( ( a3 = A_2563 )
| ~ incident(A_2563,b1b2)
| ~ incident(A_2563,b3b1) ),
inference(splitRight,[status(thm)],[c_74564]) ).
tff(c_74616,plain,
( ( b3 = a3 )
| ~ incident(b3,b1b2) ),
inference(resolution,[status(thm)],[c_34,c_74599]) ).
tff(c_74630,plain,
~ incident(b3,b1b2),
inference(negUnitSimplification,[status(thm)],[c_74340,c_74616]) ).
tff(c_74541,plain,
! [C_2561,A_2562] :
( ( s2 = C_2561 )
| ( b2 = A_2562 )
| ~ incident(b2,C_2561)
| ~ incident(A_2562,s2)
| ~ incident(A_2562,C_2561) ),
inference(resolution,[status(thm)],[c_52,c_72161]) ).
tff(c_74560,plain,
! [A_2562] :
( ( s2 = b1b2 )
| ( b2 = A_2562 )
| ~ incident(A_2562,s2)
| ~ incident(A_2562,b1b2) ),
inference(resolution,[status(thm)],[c_28,c_74541]) ).
tff(c_74771,plain,
s2 = b1b2,
inference(splitLeft,[status(thm)],[c_74560]) ).
tff(c_74775,plain,
incident(b3,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_74771,c_72989]) ).
tff(c_74783,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74630,c_74775]) ).
tff(c_74786,plain,
! [A_2570] :
( ( b2 = A_2570 )
| ~ incident(A_2570,s2)
| ~ incident(A_2570,b1b2) ),
inference(splitRight,[status(thm)],[c_74560]) ).
tff(c_74789,plain,
( ( b2 = a3 )
| ~ incident(a3,b1b2) ),
inference(resolution,[status(thm)],[c_72990,c_74786]) ).
tff(c_74809,plain,
b2 = a3,
inference(demodulation,[status(thm),theory(equality)],[c_72078,c_74789]) ).
tff(c_74811,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74339,c_74809]) ).
tff(c_75479,plain,
! [A_2593] :
( ( s = A_2593 )
| ~ incident(A_2593,s2)
| ~ incident(A_2593,s3) ),
inference(splitRight,[status(thm)],[c_72286]) ).
tff(c_75504,plain,
( ( s = a3 )
| ~ incident(a3,s2) ),
inference(resolution,[status(thm)],[c_48,c_75479]) ).
tff(c_75533,plain,
~ incident(a3,s2),
inference(splitLeft,[status(thm)],[c_75504]) ).
tff(c_76961,plain,
~ incident(a3,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_76958,c_75533]) ).
tff(c_76975,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_20,c_76961]) ).
tff(c_77011,plain,
! [A_2648] :
( ( a2 = A_2648 )
| ~ incident(A_2648,s2)
| ~ incident(A_2648,a2a3) ),
inference(splitRight,[status(thm)],[c_75416]) ).
tff(c_77035,plain,
( ( s = a2 )
| ~ incident(s,a2a3) ),
inference(resolution,[status(thm)],[c_40,c_77011]) ).
tff(c_77041,plain,
~ incident(s,a2a3),
inference(splitLeft,[status(thm)],[c_77035]) ).
tff(c_77921,plain,
~ incident(a3,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_77885,c_77041]) ).
tff(c_77931,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_20,c_77921]) ).
tff(c_77934,plain,
! [A_2680] :
( ( a1 = A_2680 )
| ~ incident(A_2680,a3a1)
| ~ incident(A_2680,s1) ),
inference(splitRight,[status(thm)],[c_77369]) ).
tff(c_77937,plain,
( ( a3 = a1 )
| ~ incident(a3,a3a1) ),
inference(resolution,[status(thm)],[c_76629,c_77934]) ).
tff(c_77954,plain,
a3 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_22,c_77937]) ).
tff(c_77956,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_120,c_77954]) ).
tff(c_77957,plain,
s = a2,
inference(splitRight,[status(thm)],[c_77035]) ).
tff(c_77974,plain,
incident(a2,s1),
inference(demodulation,[status(thm),theory(equality)],[c_77957,c_38]) ).
tff(c_77979,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72928,c_77974]) ).
tff(c_77981,plain,
incident(a3,s2),
inference(splitRight,[status(thm)],[c_75504]) ).
tff(c_72958,plain,
( ( p1 = b2 )
| ~ incident(b2,a2a3) ),
inference(resolution,[status(thm)],[c_30,c_72929]) ).
tff(c_72960,plain,
~ incident(b2,a2a3),
inference(splitLeft,[status(thm)],[c_72958]) ).
tff(c_78378,plain,
s2 = a2a3,
inference(splitLeft,[status(thm)],[c_75416]) ).
tff(c_78387,plain,
incident(b2,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_78378,c_52]) ).
tff(c_78392,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72960,c_78387]) ).
tff(c_78396,plain,
! [A_2695] :
( ( a2 = A_2695 )
| ~ incident(A_2695,s2)
| ~ incident(A_2695,a2a3) ),
inference(splitRight,[status(thm)],[c_75416]) ).
tff(c_78399,plain,
( ( a3 = a2 )
| ~ incident(a3,a2a3) ),
inference(resolution,[status(thm)],[c_77981,c_78396]) ).
tff(c_78416,plain,
a3 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_20,c_78399]) ).
tff(c_78418,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_121,c_78416]) ).
tff(c_78419,plain,
p1 = b2,
inference(splitRight,[status(thm)],[c_72958]) ).
tff(c_78427,plain,
~ incident(b2,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_78419,c_71918]) ).
tff(c_78435,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_28,c_78427]) ).
tff(c_78436,plain,
s = a2,
inference(splitRight,[status(thm)],[c_72904]) ).
tff(c_78443,plain,
incident(a2,s3),
inference(demodulation,[status(thm),theory(equality)],[c_78436,c_42]) ).
tff(c_72241,plain,
! [C_2487,A_2489] :
( ( a2a3 = C_2487 )
| ( a2 = A_2489 )
| ~ incident(a2,C_2487)
| ~ incident(A_2489,a2a3)
| ~ incident(A_2489,C_2487) ),
inference(resolution,[status(thm)],[c_18,c_72161]) ).
tff(c_78500,plain,
! [A_2489] :
( ( s3 = a2a3 )
| ( a2 = A_2489 )
| ~ incident(A_2489,a2a3)
| ~ incident(A_2489,s3) ),
inference(resolution,[status(thm)],[c_78443,c_72241]) ).
tff(c_80216,plain,
s3 = a2a3,
inference(splitLeft,[status(thm)],[c_78500]) ).
tff(c_80259,plain,
incident(b3,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_80216,c_54]) ).
tff(c_80264,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78536,c_80259]) ).
tff(c_80267,plain,
! [A_2762] :
( ( a2 = A_2762 )
| ~ incident(A_2762,a2a3)
| ~ incident(A_2762,s3) ),
inference(splitRight,[status(thm)],[c_78500]) ).
tff(c_80284,plain,
( ( a3 = a2 )
| ~ incident(a3,a2a3) ),
inference(resolution,[status(thm)],[c_48,c_80267]) ).
tff(c_80299,plain,
a3 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_20,c_80284]) ).
tff(c_80301,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_121,c_80299]) ).
tff(c_80302,plain,
p1 = b3,
inference(splitRight,[status(thm)],[c_78534]) ).
tff(c_71922,plain,
~ incident(p1,a1a2),
inference(splitLeft,[status(thm)],[c_135]) ).
tff(c_80312,plain,
~ incident(b3,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_80302,c_71922]) ).
tff(c_80319,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_71916,c_80312]) ).
tff(c_80320,plain,
~ incident(p2,a1a2),
inference(splitRight,[status(thm)],[c_135]) ).
tff(c_85871,plain,
~ incident(a3,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_85860,c_80320]) ).
tff(c_85877,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_85574,c_85871]) ).
tff(c_86007,plain,
! [A_2953] :
( ( a3 = A_2953 )
| ~ incident(A_2953,a2a3)
| ~ incident(A_2953,b3b1) ),
inference(splitRight,[status(thm)],[c_85556]) ).
tff(c_86035,plain,
( ( p2 = a3 )
| ~ incident(p2,a2a3) ),
inference(resolution,[status(thm)],[c_66,c_86007]) ).
tff(c_86076,plain,
~ incident(p2,a2a3),
inference(splitLeft,[status(thm)],[c_86035]) ).
tff(c_86456,plain,
~ incident(a3,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_86452,c_86076]) ).
tff(c_86465,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_20,c_86456]) ).
tff(c_86466,plain,
p2 = a3,
inference(splitRight,[status(thm)],[c_86035]) ).
tff(c_86470,plain,
~ incident(a3,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_86466,c_80320]) ).
tff(c_86476,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_85885,c_86470]) ).
tff(c_86477,plain,
s = b2,
inference(splitRight,[status(thm)],[c_81142]) ).
tff(c_86540,plain,
( ( b2 = a2 )
| ~ incident(a2,s1) ),
inference(demodulation,[status(thm),theory(equality)],[c_86477,c_81143]) ).
tff(c_86541,plain,
~ incident(a2,s1),
inference(splitLeft,[status(thm)],[c_86540]) ).
tff(c_86999,plain,
b1b2 = a2a3,
inference(splitLeft,[status(thm)],[c_80720]) ).
tff(c_87002,plain,
~ incident(p1,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_86999,c_71918]) ).
tff(c_87011,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_60,c_87002]) ).
tff(c_87014,plain,
! [A_2986] :
( ( b1 = A_2986 )
| ~ incident(A_2986,b1b2)
| ~ incident(A_2986,a2a3) ),
inference(splitRight,[status(thm)],[c_80720]) ).
tff(c_87025,plain,
( ( b1 = a3 )
| ~ incident(a3,a2a3) ),
inference(resolution,[status(thm)],[c_80467,c_87014]) ).
tff(c_87043,plain,
b1 = a3,
inference(demodulation,[status(thm),theory(equality)],[c_20,c_87025]) ).
tff(c_86641,plain,
b1b2 = a2a3,
inference(splitLeft,[status(thm)],[c_80720]) ).
tff(c_86645,plain,
~ incident(p1,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_86641,c_71918]) ).
tff(c_86654,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_60,c_86645]) ).
tff(c_86693,plain,
! [A_2976] :
( ( b1 = A_2976 )
| ~ incident(A_2976,b1b2)
| ~ incident(A_2976,a2a3) ),
inference(splitRight,[status(thm)],[c_80720]) ).
tff(c_86707,plain,
( ( b1 = a3 )
| ~ incident(a3,a2a3) ),
inference(resolution,[status(thm)],[c_80467,c_86693]) ).
tff(c_86726,plain,
b1 = a3,
inference(demodulation,[status(thm),theory(equality)],[c_20,c_86707]) ).
tff(c_86504,plain,
! [C_2968,A_2969] :
( ( b3b1 = C_2968 )
| ( p2 = A_2969 )
| ~ incident(p2,C_2968)
| ~ incident(A_2969,b3b1)
| ~ incident(A_2969,C_2968) ),
inference(resolution,[status(thm)],[c_66,c_80570]) ).
tff(c_86512,plain,
! [A_2969] :
( ( b3b1 = a3a1 )
| ( p2 = A_2969 )
| ~ incident(A_2969,b3b1)
| ~ incident(A_2969,a3a1) ),
inference(resolution,[status(thm)],[c_64,c_86504]) ).
tff(c_86542,plain,
! [A_2970] :
( ( p2 = A_2970 )
| ~ incident(A_2970,b3b1)
| ~ incident(A_2970,a3a1) ),
inference(negUnitSimplification,[status(thm)],[c_114,c_86512]) ).
tff(c_86570,plain,
( ( p2 = b1 )
| ~ incident(b1,a3a1) ),
inference(resolution,[status(thm)],[c_36,c_86542]) ).
tff(c_86572,plain,
~ incident(b1,a3a1),
inference(splitLeft,[status(thm)],[c_86570]) ).
tff(c_86736,plain,
~ incident(a3,a3a1),
inference(demodulation,[status(thm),theory(equality)],[c_86726,c_86572]) ).
tff(c_86746,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_22,c_86736]) ).
tff(c_86747,plain,
p2 = b1,
inference(splitRight,[status(thm)],[c_86570]) ).
tff(c_86755,plain,
~ incident(b1,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_86747,c_80320]) ).
tff(c_87055,plain,
~ incident(a3,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_87043,c_86755]) ).
tff(c_88457,plain,
! [C_3031,A_3032] :
( ( b2b3 = C_3031 )
| ( p1 = A_3032 )
| ~ incident(p1,C_3031)
| ~ incident(A_3032,b2b3)
| ~ incident(A_3032,C_3031) ),
inference(resolution,[status(thm)],[c_62,c_80570]) ).
tff(c_88467,plain,
! [A_3032] :
( ( b2b3 = a2a3 )
| ( p1 = A_3032 )
| ~ incident(A_3032,b2b3)
| ~ incident(A_3032,a2a3) ),
inference(resolution,[status(thm)],[c_60,c_88457]) ).
tff(c_88483,plain,
! [A_3033] :
( ( p1 = A_3033 )
| ~ incident(A_3033,b2b3)
| ~ incident(A_3033,a2a3) ),
inference(negUnitSimplification,[status(thm)],[c_115,c_88467]) ).
tff(c_88511,plain,
( ( p1 = b3 )
| ~ incident(b3,a2a3) ),
inference(resolution,[status(thm)],[c_32,c_88483]) ).
tff(c_88513,plain,
~ incident(b3,a2a3),
inference(splitLeft,[status(thm)],[c_88511]) ).
tff(c_80321,plain,
incident(p1,a1a2),
inference(splitRight,[status(thm)],[c_135]) ).
tff(c_88476,plain,
! [A_3032] :
( ( b2b3 = a1a2 )
| ( p1 = A_3032 )
| ~ incident(A_3032,b2b3)
| ~ incident(A_3032,a1a2) ),
inference(resolution,[status(thm)],[c_80321,c_88457]) ).
tff(c_88741,plain,
b2b3 = a1a2,
inference(splitLeft,[status(thm)],[c_88476]) ).
tff(c_87075,plain,
! [C_2987,A_2988] :
( ( s2 = C_2987 )
| ( b2 = A_2988 )
| ~ incident(b2,C_2987)
| ~ incident(A_2988,s2)
| ~ incident(A_2988,C_2987) ),
inference(resolution,[status(thm)],[c_52,c_80570]) ).
tff(c_87104,plain,
! [A_2988] :
( ( s2 = b2b3 )
| ( b2 = A_2988 )
| ~ incident(A_2988,s2)
| ~ incident(A_2988,b2b3) ),
inference(resolution,[status(thm)],[c_30,c_87075]) ).
tff(c_87289,plain,
s2 = b2b3,
inference(splitLeft,[status(thm)],[c_87104]) ).
tff(c_86949,plain,
! [C_2983,A_2984] :
( ( a1a2 = C_2983 )
| ( a2 = A_2984 )
| ~ incident(a2,C_2983)
| ~ incident(A_2984,a1a2)
| ~ incident(A_2984,C_2983) ),
inference(resolution,[status(thm)],[c_16,c_80570]) ).
tff(c_86971,plain,
! [A_2984] :
( ( s2 = a1a2 )
| ( a2 = A_2984 )
| ~ incident(A_2984,a1a2)
| ~ incident(A_2984,s2) ),
inference(resolution,[status(thm)],[c_46,c_86949]) ).
tff(c_87536,plain,
! [A_2984] :
( ( b2b3 = a1a2 )
| ( a2 = A_2984 )
| ~ incident(A_2984,a1a2)
| ~ incident(A_2984,b2b3) ),
inference(demodulation,[status(thm),theory(equality)],[c_87289,c_87289,c_86971]) ).
tff(c_87537,plain,
b2b3 = a1a2,
inference(splitLeft,[status(thm)],[c_87536]) ).
tff(c_87545,plain,
~ incident(a1,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_87537,c_126]) ).
tff(c_87553,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_87545]) ).
tff(c_87556,plain,
! [A_3004] :
( ( a2 = A_3004 )
| ~ incident(A_3004,a1a2)
| ~ incident(A_3004,b2b3) ),
inference(splitRight,[status(thm)],[c_87536]) ).
tff(c_87570,plain,
( ( b3 = a2 )
| ~ incident(b3,a1a2) ),
inference(resolution,[status(thm)],[c_32,c_87556]) ).
tff(c_87586,plain,
b3 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_71916,c_87570]) ).
tff(c_87297,plain,
incident(a2,b2b3),
inference(demodulation,[status(thm),theory(equality)],[c_87289,c_46]) ).
tff(c_87304,plain,
! [C_2996,A_2997] :
( ( b2b3 = C_2996 )
| ( p1 = A_2997 )
| ~ incident(p1,C_2996)
| ~ incident(A_2997,b2b3)
| ~ incident(A_2997,C_2996) ),
inference(resolution,[status(thm)],[c_62,c_80570]) ).
tff(c_87314,plain,
! [A_2997] :
( ( b2b3 = a2a3 )
| ( p1 = A_2997 )
| ~ incident(A_2997,b2b3)
| ~ incident(A_2997,a2a3) ),
inference(resolution,[status(thm)],[c_60,c_87304]) ).
tff(c_87350,plain,
! [A_2998] :
( ( p1 = A_2998 )
| ~ incident(A_2998,b2b3)
| ~ incident(A_2998,a2a3) ),
inference(negUnitSimplification,[status(thm)],[c_115,c_87314]) ).
tff(c_87353,plain,
( ( p1 = a2 )
| ~ incident(a2,a2a3) ),
inference(resolution,[status(thm)],[c_87297,c_87350]) ).
tff(c_87373,plain,
p1 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_18,c_87353]) ).
tff(c_87384,plain,
( ( p1 = b3 )
| ~ incident(b3,a2a3) ),
inference(resolution,[status(thm)],[c_32,c_87350]) ).
tff(c_87441,plain,
( ( b3 = a2 )
| ~ incident(b3,a2a3) ),
inference(demodulation,[status(thm),theory(equality)],[c_87373,c_87384]) ).
tff(c_87442,plain,
~ incident(b3,a2a3),
inference(splitLeft,[status(thm)],[c_87441]) ).
tff(c_87588,plain,
~ incident(a2,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_87586,c_87442]) ).
tff(c_87599,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_18,c_87588]) ).
tff(c_87600,plain,
b3 = a2,
inference(splitRight,[status(thm)],[c_87441]) ).
tff(c_87674,plain,
b2 != a2,
inference(demodulation,[status(thm),theory(equality)],[c_87600,c_118]) ).
tff(c_87671,plain,
incident(a2,s3),
inference(demodulation,[status(thm),theory(equality)],[c_87600,c_54]) ).
tff(c_87065,plain,
b2 != a3,
inference(demodulation,[status(thm),theory(equality)],[c_87043,c_119]) ).
tff(c_87063,plain,
incident(a3,s1),
inference(demodulation,[status(thm),theory(equality)],[c_87043,c_50]) ).
tff(c_81089,plain,
! [A_2784] :
( ( s = A_2784 )
| ~ incident(A_2784,s2)
| ~ incident(A_2784,s1) ),
inference(splitRight,[status(thm)],[c_80697]) ).
tff(c_86479,plain,
! [A_2784] :
( ( b2 = A_2784 )
| ~ incident(A_2784,s2)
| ~ incident(A_2784,s1) ),
inference(demodulation,[status(thm),theory(equality)],[c_86477,c_81089]) ).
tff(c_87790,plain,
! [A_3008] :
( ( b2 = A_3008 )
| ~ incident(A_3008,b2b3)
| ~ incident(A_3008,s1) ),
inference(demodulation,[status(thm),theory(equality)],[c_87289,c_86479]) ).
tff(c_87793,plain,
( ( b2 = a3 )
| ~ incident(a3,b2b3) ),
inference(resolution,[status(thm)],[c_87063,c_87790]) ).
tff(c_87810,plain,
~ incident(a3,b2b3),
inference(negUnitSimplification,[status(thm)],[c_87065,c_87793]) ).
tff(c_80698,plain,
! [A_2784] :
( ( s3 = s2 )
| ( s = A_2784 )
| ~ incident(A_2784,s2)
| ~ incident(A_2784,s3) ),
inference(resolution,[status(thm)],[c_42,c_80676]) ).
tff(c_88356,plain,
! [A_2784] :
( ( s3 = b2b3 )
| ( b2 = A_2784 )
| ~ incident(A_2784,b2b3)
| ~ incident(A_2784,s3) ),
inference(demodulation,[status(thm),theory(equality)],[c_87289,c_86477,c_87289,c_80698]) ).
tff(c_88357,plain,
s3 = b2b3,
inference(splitLeft,[status(thm)],[c_88356]) ).
tff(c_88365,plain,
incident(a3,b2b3),
inference(demodulation,[status(thm),theory(equality)],[c_88357,c_48]) ).
tff(c_88370,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_87810,c_88365]) ).
tff(c_88406,plain,
! [A_3029] :
( ( b2 = A_3029 )
| ~ incident(A_3029,b2b3)
| ~ incident(A_3029,s3) ),
inference(splitRight,[status(thm)],[c_88356]) ).
tff(c_88409,plain,
( ( b2 = a2 )
| ~ incident(a2,b2b3) ),
inference(resolution,[status(thm)],[c_87671,c_88406]) ).
tff(c_88426,plain,
b2 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_87297,c_88409]) ).
tff(c_88428,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_87674,c_88426]) ).
tff(c_88431,plain,
! [A_3030] :
( ( b2 = A_3030 )
| ~ incident(A_3030,s2)
| ~ incident(A_3030,b2b3) ),
inference(splitRight,[status(thm)],[c_87104]) ).
tff(c_88456,plain,
( ( b2 = a2 )
| ~ incident(a2,b2b3) ),
inference(resolution,[status(thm)],[c_46,c_88431]) ).
tff(c_88482,plain,
~ incident(a2,b2b3),
inference(splitLeft,[status(thm)],[c_88456]) ).
tff(c_88744,plain,
~ incident(a2,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_88741,c_88482]) ).
tff(c_88756,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_88744]) ).
tff(c_88759,plain,
! [A_3041] :
( ( p1 = A_3041 )
| ~ incident(A_3041,b2b3)
| ~ incident(A_3041,a1a2) ),
inference(splitRight,[status(thm)],[c_88476]) ).
tff(c_88773,plain,
( ( p1 = b3 )
| ~ incident(b3,a1a2) ),
inference(resolution,[status(thm)],[c_32,c_88759]) ).
tff(c_88789,plain,
p1 = b3,
inference(demodulation,[status(thm),theory(equality)],[c_71916,c_88773]) ).
tff(c_88800,plain,
incident(b3,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_88789,c_60]) ).
tff(c_88805,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88513,c_88800]) ).
tff(c_88807,plain,
incident(b3,a2a3),
inference(splitRight,[status(thm)],[c_88511]) ).
tff(c_81110,plain,
! [A_2797] :
( ( a2a3 = a1a2 )
| ( a2 = A_2797 )
| ~ incident(A_2797,a2a3)
| ~ incident(A_2797,a1a2) ),
inference(resolution,[status(thm)],[c_16,c_81091]) ).
tff(c_89110,plain,
a2a3 = a1a2,
inference(splitLeft,[status(thm)],[c_81110]) ).
tff(c_87044,plain,
( ( p3 = b1 )
| ~ incident(p3,a2a3) ),
inference(resolution,[status(thm)],[c_58,c_87014]) ).
tff(c_87194,plain,
( ( p3 = a3 )
| ~ incident(p3,a2a3) ),
inference(demodulation,[status(thm),theory(equality)],[c_87043,c_87044]) ).
tff(c_87195,plain,
~ incident(p3,a2a3),
inference(splitLeft,[status(thm)],[c_87194]) ).
tff(c_89115,plain,
~ incident(p3,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_89110,c_87195]) ).
tff(c_89128,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_56,c_89115]) ).
tff(c_89131,plain,
! [A_3051] :
( ( a2 = A_3051 )
| ~ incident(A_3051,a2a3)
| ~ incident(A_3051,a1a2) ),
inference(splitRight,[status(thm)],[c_81110]) ).
tff(c_89134,plain,
( ( b3 = a2 )
| ~ incident(b3,a1a2) ),
inference(resolution,[status(thm)],[c_88807,c_89131]) ).
tff(c_89151,plain,
b3 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_71916,c_89134]) ).
tff(c_89038,plain,
! [A_2784] :
( ( s3 = s2 )
| ( b2 = A_2784 )
| ~ incident(A_2784,s2)
| ~ incident(A_2784,s3) ),
inference(demodulation,[status(thm),theory(equality)],[c_86477,c_80698]) ).
tff(c_89039,plain,
s3 = s2,
inference(splitLeft,[status(thm)],[c_89038]) ).
tff(c_89044,plain,
incident(b3,s2),
inference(demodulation,[status(thm),theory(equality)],[c_89039,c_54]) ).
tff(c_88429,plain,
! [A_2988] :
( ( b2 = A_2988 )
| ~ incident(A_2988,s2)
| ~ incident(A_2988,b2b3) ),
inference(splitRight,[status(thm)],[c_87104]) ).
tff(c_89054,plain,
( ( b3 = b2 )
| ~ incident(b3,b2b3) ),
inference(resolution,[status(thm)],[c_89044,c_88429]) ).
tff(c_89071,plain,
b3 = b2,
inference(demodulation,[status(thm),theory(equality)],[c_32,c_89054]) ).
tff(c_89073,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_118,c_89071]) ).
tff(c_89076,plain,
! [A_3050] :
( ( b2 = A_3050 )
| ~ incident(A_3050,s2)
| ~ incident(A_3050,s3) ),
inference(splitRight,[status(thm)],[c_89038]) ).
tff(c_89090,plain,
( ( b3 = b2 )
| ~ incident(b3,s2) ),
inference(resolution,[status(thm)],[c_54,c_89076]) ).
tff(c_89106,plain,
~ incident(b3,s2),
inference(negUnitSimplification,[status(thm)],[c_118,c_89090]) ).
tff(c_89199,plain,
~ incident(a2,s2),
inference(demodulation,[status(thm),theory(equality)],[c_89151,c_89106]) ).
tff(c_89217,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_46,c_89199]) ).
tff(c_89218,plain,
b2 = a2,
inference(splitRight,[status(thm)],[c_88456]) ).
tff(c_86888,plain,
s2 = a2a3,
inference(splitLeft,[status(thm)],[c_81113]) ).
tff(c_86913,plain,
! [A_2982] :
( ( b2 = A_2982 )
| ~ incident(A_2982,a2a3)
| ~ incident(A_2982,s1) ),
inference(demodulation,[status(thm),theory(equality)],[c_86888,c_86479]) ).
tff(c_86930,plain,
( ( b2 = b1 )
| ~ incident(b1,a2a3) ),
inference(resolution,[status(thm)],[c_50,c_86913]) ).
tff(c_86944,plain,
b2 = b1,
inference(demodulation,[status(thm),theory(equality)],[c_71674,c_86930]) ).
tff(c_86946,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_119,c_86944]) ).
tff(c_86972,plain,
! [A_2985] :
( ( a2 = A_2985 )
| ~ incident(A_2985,a2a3)
| ~ incident(A_2985,s2) ),
inference(splitRight,[status(thm)],[c_81113]) ).
tff(c_86993,plain,
( ( b2 = a2 )
| ~ incident(b2,a2a3) ),
inference(resolution,[status(thm)],[c_52,c_86972]) ).
tff(c_86998,plain,
~ incident(b2,a2a3),
inference(splitLeft,[status(thm)],[c_86993]) ).
tff(c_89223,plain,
~ incident(a2,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_89218,c_86998]) ).
tff(c_89236,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_18,c_89223]) ).
tff(c_89237,plain,
p3 = a3,
inference(splitRight,[status(thm)],[c_87194]) ).
tff(c_89243,plain,
incident(a3,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_89237,c_56]) ).
tff(c_89247,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_87055,c_89243]) ).
tff(c_89248,plain,
b2 = a2,
inference(splitRight,[status(thm)],[c_86993]) ).
tff(c_86478,plain,
incident(b2,s1),
inference(splitRight,[status(thm)],[c_81142]) ).
tff(c_89267,plain,
incident(a2,s1),
inference(demodulation,[status(thm),theory(equality)],[c_89248,c_86478]) ).
tff(c_89277,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86541,c_89267]) ).
tff(c_89278,plain,
b2 = a2,
inference(splitRight,[status(thm)],[c_86540]) ).
tff(c_89285,plain,
incident(a2,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_89278,c_28]) ).
tff(c_89287,plain,
incident(a2,b2b3),
inference(demodulation,[status(thm),theory(equality)],[c_89278,c_30]) ).
tff(c_80653,plain,
! [C_2780,A_2782] :
( ( a2a3 = C_2780 )
| ( a2 = A_2782 )
| ~ incident(a2,C_2780)
| ~ incident(A_2782,a2a3)
| ~ incident(A_2782,C_2780) ),
inference(resolution,[status(thm)],[c_18,c_80570]) ).
tff(c_89389,plain,
! [A_2782] :
( ( b2b3 = a2a3 )
| ( a2 = A_2782 )
| ~ incident(A_2782,a2a3)
| ~ incident(A_2782,b2b3) ),
inference(resolution,[status(thm)],[c_89287,c_80653]) ).
tff(c_89448,plain,
! [A_3059] :
( ( a2 = A_3059 )
| ~ incident(A_3059,a2a3)
| ~ incident(A_3059,b2b3) ),
inference(negUnitSimplification,[status(thm)],[c_115,c_89389]) ).
tff(c_89462,plain,
( ( p1 = a2 )
| ~ incident(p1,a2a3) ),
inference(resolution,[status(thm)],[c_62,c_89448]) ).
tff(c_89478,plain,
p1 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_60,c_89462]) ).
tff(c_89487,plain,
~ incident(a2,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_89478,c_71918]) ).
tff(c_89495,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_89285,c_89487]) ).
tff(c_89496,plain,
~ incident(p2,b1b2),
inference(splitRight,[status(thm)],[c_131]) ).
tff(c_96364,plain,
~ incident(b1,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_96356,c_89496]) ).
tff(c_96371,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_26,c_96364]) ).
tff(c_96372,plain,
p3 = a3,
inference(splitRight,[status(thm)],[c_94500]) ).
tff(c_96374,plain,
! [A_3245] :
( ( a3 = A_3245 )
| ~ incident(A_3245,b1b2)
| ~ incident(A_3245,a1a2) ),
inference(demodulation,[status(thm),theory(equality)],[c_96372,c_94436]) ).
tff(c_97787,plain,
! [A_3360] :
( ( a3 = A_3360 )
| ~ incident(A_3360,a2a3)
| ~ incident(A_3360,a1a2) ),
inference(demodulation,[status(thm),theory(equality)],[c_97752,c_96374]) ).
tff(c_97804,plain,
( ( a3 = a2 )
| ~ incident(a2,a1a2) ),
inference(resolution,[status(thm)],[c_18,c_97787]) ).
tff(c_97821,plain,
a3 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_97804]) ).
tff(c_97823,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_121,c_97821]) ).
tff(c_97900,plain,
! [A_3364] :
( ( b1 = A_3364 )
| ~ incident(A_3364,a2a3)
| ~ incident(A_3364,b1b2) ),
inference(splitRight,[status(thm)],[c_97673]) ).
tff(c_97911,plain,
( ( b1 = a3 )
| ~ incident(a3,a2a3) ),
inference(resolution,[status(thm)],[c_89657,c_97900]) ).
tff(c_97929,plain,
b1 = a3,
inference(demodulation,[status(thm),theory(equality)],[c_20,c_97911]) ).
tff(c_96433,plain,
! [A_3314] :
( ( p2 = A_3314 )
| ~ incident(A_3314,b3b1)
| ~ incident(A_3314,a3a1) ),
inference(negUnitSimplification,[status(thm)],[c_114,c_94518]) ).
tff(c_96461,plain,
( ( p2 = b1 )
| ~ incident(b1,a3a1) ),
inference(resolution,[status(thm)],[c_36,c_96433]) ).
tff(c_96463,plain,
~ incident(b1,a3a1),
inference(splitLeft,[status(thm)],[c_96461]) ).
tff(c_97972,plain,
~ incident(a3,a3a1),
inference(demodulation,[status(thm),theory(equality)],[c_97929,c_96463]) ).
tff(c_97983,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_22,c_97972]) ).
tff(c_97984,plain,
p2 = b1,
inference(splitRight,[status(thm)],[c_96461]) ).
tff(c_97989,plain,
~ incident(b1,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_97984,c_89496]) ).
tff(c_97995,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_26,c_97989]) ).
tff(c_97997,plain,
incident(b2,a1a2),
inference(splitRight,[status(thm)],[c_94507]) ).
tff(c_98060,plain,
! [C_3368,A_3369] :
( ( s2 = C_3368 )
| ( a2 = A_3369 )
| ~ incident(a2,C_3368)
| ~ incident(A_3369,s2)
| ~ incident(A_3369,C_3368) ),
inference(resolution,[status(thm)],[c_46,c_89750]) ).
tff(c_98079,plain,
! [A_3369] :
( ( s2 = a1a2 )
| ( a2 = A_3369 )
| ~ incident(A_3369,s2)
| ~ incident(A_3369,a1a2) ),
inference(resolution,[status(thm)],[c_16,c_98060]) ).
tff(c_98170,plain,
s2 = a1a2,
inference(splitLeft,[status(thm)],[c_98079]) ).
tff(c_94415,plain,
! [A_3081] :
( ( s = A_3081 )
| ~ incident(A_3081,s2)
| ~ incident(A_3081,s1) ),
inference(splitRight,[status(thm)],[c_89877]) ).
tff(c_98225,plain,
! [A_3376] :
( ( s = A_3376 )
| ~ incident(A_3376,a1a2)
| ~ incident(A_3376,s1) ),
inference(demodulation,[status(thm),theory(equality)],[c_98170,c_94415]) ).
tff(c_98239,plain,
( ( s = a1 )
| ~ incident(a1,a1a2) ),
inference(resolution,[status(thm)],[c_44,c_98225]) ).
tff(c_98255,plain,
s = a1,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_98239]) ).
tff(c_98261,plain,
incident(a1,s3),
inference(demodulation,[status(thm),theory(equality)],[c_98255,c_42]) ).
tff(c_97996,plain,
p3 = b2,
inference(splitRight,[status(thm)],[c_94507]) ).
tff(c_98083,plain,
( ( b2 = a3 )
| ~ incident(a3,a1a2) ),
inference(demodulation,[status(thm),theory(equality)],[c_97996,c_94500]) ).
tff(c_98084,plain,
~ incident(a3,a1a2),
inference(splitLeft,[status(thm)],[c_98083]) ).
tff(c_98144,plain,
! [C_3372,A_3373] :
( ( s3 = C_3372 )
| ( b3 = A_3373 )
| ~ incident(b3,C_3372)
| ~ incident(A_3373,s3)
| ~ incident(A_3373,C_3372) ),
inference(resolution,[status(thm)],[c_54,c_89750]) ).
tff(c_98165,plain,
! [A_3373] :
( ( s3 = a1a2 )
| ( b3 = A_3373 )
| ~ incident(A_3373,s3)
| ~ incident(A_3373,a1a2) ),
inference(resolution,[status(thm)],[c_71916,c_98144]) ).
tff(c_98469,plain,
s3 = a1a2,
inference(splitLeft,[status(thm)],[c_98165]) ).
tff(c_98474,plain,
incident(a3,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_98469,c_48]) ).
tff(c_98479,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_98084,c_98474]) ).
tff(c_98575,plain,
! [A_3386] :
( ( b3 = A_3386 )
| ~ incident(A_3386,s3)
| ~ incident(A_3386,a1a2) ),
inference(splitRight,[status(thm)],[c_98165]) ).
tff(c_98578,plain,
( ( b3 = a1 )
| ~ incident(a1,a1a2) ),
inference(resolution,[status(thm)],[c_98261,c_98575]) ).
tff(c_98595,plain,
b3 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_98578]) ).
tff(c_98014,plain,
! [A_3367] :
( ( p2 = A_3367 )
| ~ incident(A_3367,b3b1)
| ~ incident(A_3367,a3a1) ),
inference(negUnitSimplification,[status(thm)],[c_114,c_94518]) ).
tff(c_98043,plain,
( ( p2 = b3 )
| ~ incident(b3,a3a1) ),
inference(resolution,[status(thm)],[c_34,c_98014]) ).
tff(c_98059,plain,
~ incident(b3,a3a1),
inference(splitLeft,[status(thm)],[c_98043]) ).
tff(c_98610,plain,
~ incident(a1,a3a1),
inference(demodulation,[status(thm),theory(equality)],[c_98595,c_98059]) ).
tff(c_98620,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_24,c_98610]) ).
tff(c_98649,plain,
! [A_3389] :
( ( a2 = A_3389 )
| ~ incident(A_3389,s2)
| ~ incident(A_3389,a1a2) ),
inference(splitRight,[status(thm)],[c_98079]) ).
tff(c_98663,plain,
( ( b2 = a2 )
| ~ incident(b2,a1a2) ),
inference(resolution,[status(thm)],[c_52,c_98649]) ).
tff(c_98676,plain,
b2 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_97997,c_98663]) ).
tff(c_98693,plain,
incident(a2,b2b3),
inference(demodulation,[status(thm),theory(equality)],[c_98676,c_30]) ).
tff(c_99812,plain,
! [C_3425,A_3426] :
( ( a2a3 = C_3425 )
| ( p1 = A_3426 )
| ~ incident(p1,C_3425)
| ~ incident(A_3426,a2a3)
| ~ incident(A_3426,C_3425) ),
inference(resolution,[status(thm)],[c_60,c_89750]) ).
tff(c_99822,plain,
! [A_3426] :
( ( b2b3 = a2a3 )
| ( p1 = A_3426 )
| ~ incident(A_3426,a2a3)
| ~ incident(A_3426,b2b3) ),
inference(resolution,[status(thm)],[c_62,c_99812]) ).
tff(c_99834,plain,
! [A_3427] :
( ( p1 = A_3427 )
| ~ incident(A_3427,a2a3)
| ~ incident(A_3427,b2b3) ),
inference(negUnitSimplification,[status(thm)],[c_115,c_99822]) ).
tff(c_99837,plain,
( ( p1 = a2 )
| ~ incident(a2,a2a3) ),
inference(resolution,[status(thm)],[c_98693,c_99834]) ).
tff(c_99854,plain,
p1 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_18,c_99837]) ).
tff(c_89502,plain,
~ incident(p1,a1a2),
inference(splitLeft,[status(thm)],[c_135]) ).
tff(c_99871,plain,
~ incident(a2,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_99854,c_89502]) ).
tff(c_99877,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_99871]) ).
tff(c_99878,plain,
b2 = a3,
inference(splitRight,[status(thm)],[c_98083]) ).
tff(c_99883,plain,
~ incident(a3,a3a1),
inference(demodulation,[status(thm),theory(equality)],[c_99878,c_71915]) ).
tff(c_99892,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_22,c_99883]) ).
tff(c_99893,plain,
p2 = b3,
inference(splitRight,[status(thm)],[c_98043]) ).
tff(c_98007,plain,
! [A_1] :
( ~ incident(p2,A_1)
| ~ incident(p1,A_1)
| ~ incident(b2,A_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_97996,c_125]) ).
tff(c_100038,plain,
! [A_3433] :
( ~ incident(b3,A_3433)
| ~ incident(p1,A_3433)
| ~ incident(b2,A_3433) ),
inference(demodulation,[status(thm),theory(equality)],[c_99893,c_98007]) ).
tff(c_100055,plain,
( ~ incident(b3,b2b3)
| ~ incident(b2,b2b3) ),
inference(resolution,[status(thm)],[c_62,c_100038]) ).
tff(c_100069,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_30,c_32,c_100055]) ).
tff(c_100070,plain,
p3 = b1,
inference(splitRight,[status(thm)],[c_94506]) ).
tff(c_89834,plain,
! [C_3077,A_3079] :
( ( a1a2 = C_3077 )
| ( p3 = A_3079 )
| ~ incident(p3,C_3077)
| ~ incident(A_3079,a1a2)
| ~ incident(A_3079,C_3077) ),
inference(resolution,[status(thm)],[c_56,c_89750]) ).
tff(c_100089,plain,
! [C_3434,A_3435] :
( ( a1a2 = C_3434 )
| ( b1 = A_3435 )
| ~ incident(b1,C_3434)
| ~ incident(A_3435,a1a2)
| ~ incident(A_3435,C_3434) ),
inference(demodulation,[status(thm),theory(equality)],[c_100070,c_100070,c_89834]) ).
tff(c_100110,plain,
! [A_3435] :
( ( a2a3 = a1a2 )
| ( b1 = A_3435 )
| ~ incident(A_3435,a1a2)
| ~ incident(A_3435,a2a3) ),
inference(resolution,[status(thm)],[c_71674,c_100089]) ).
tff(c_100398,plain,
a2a3 = a1a2,
inference(splitLeft,[status(thm)],[c_100110]) ).
tff(c_100269,plain,
! [C_3441,A_3442] :
( ( b2b3 = C_3441 )
| ( p1 = A_3442 )
| ~ incident(p1,C_3441)
| ~ incident(A_3442,b2b3)
| ~ incident(A_3442,C_3441) ),
inference(resolution,[status(thm)],[c_62,c_89750]) ).
tff(c_100279,plain,
! [A_3442] :
( ( b2b3 = a2a3 )
| ( p1 = A_3442 )
| ~ incident(A_3442,b2b3)
| ~ incident(A_3442,a2a3) ),
inference(resolution,[status(thm)],[c_60,c_100269]) ).
tff(c_100295,plain,
! [A_3443] :
( ( p1 = A_3443 )
| ~ incident(A_3443,b2b3)
| ~ incident(A_3443,a2a3) ),
inference(negUnitSimplification,[status(thm)],[c_115,c_100279]) ).
tff(c_100323,plain,
( ( p1 = b3 )
| ~ incident(b3,a2a3) ),
inference(resolution,[status(thm)],[c_32,c_100295]) ).
tff(c_100325,plain,
~ incident(b3,a2a3),
inference(splitLeft,[status(thm)],[c_100323]) ).
tff(c_100400,plain,
~ incident(b3,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_100398,c_100325]) ).
tff(c_100410,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_71916,c_100400]) ).
tff(c_100438,plain,
! [A_3448] :
( ( b1 = A_3448 )
| ~ incident(A_3448,a1a2)
| ~ incident(A_3448,a2a3) ),
inference(splitRight,[status(thm)],[c_100110]) ).
tff(c_100452,plain,
( ( b1 = a2 )
| ~ incident(a2,a1a2) ),
inference(resolution,[status(thm)],[c_18,c_100438]) ).
tff(c_100471,plain,
b1 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_100452]) ).
tff(c_100487,plain,
incident(a2,s1),
inference(demodulation,[status(thm),theory(equality)],[c_100471,c_50]) ).
tff(c_100495,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94508,c_100487]) ).
tff(c_100496,plain,
p1 = b3,
inference(splitRight,[status(thm)],[c_100323]) ).
tff(c_100199,plain,
! [A_3439] :
( ~ incident(p2,A_3439)
| ~ incident(p1,A_3439)
| ~ incident(b1,A_3439) ),
inference(demodulation,[status(thm),theory(equality)],[c_100070,c_125]) ).
tff(c_100213,plain,
( ~ incident(p1,b3b1)
| ~ incident(b1,b3b1) ),
inference(resolution,[status(thm)],[c_66,c_100199]) ).
tff(c_100223,plain,
~ incident(p1,b3b1),
inference(demodulation,[status(thm),theory(equality)],[c_36,c_100213]) ).
tff(c_100501,plain,
~ incident(b3,b3b1),
inference(demodulation,[status(thm),theory(equality)],[c_100496,c_100223]) ).
tff(c_100512,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_34,c_100501]) ).
tff(c_100513,plain,
s = a2,
inference(splitRight,[status(thm)],[c_94468]) ).
tff(c_100520,plain,
incident(a2,s3),
inference(demodulation,[status(thm),theory(equality)],[c_100513,c_42]) ).
tff(c_101030,plain,
! [C_3467,A_3468] :
( ( a2a3 = C_3467 )
| ( p1 = A_3468 )
| ~ incident(p1,C_3467)
| ~ incident(A_3468,a2a3)
| ~ incident(A_3468,C_3467) ),
inference(resolution,[status(thm)],[c_60,c_89750]) ).
tff(c_101042,plain,
! [A_3468] :
( ( b2b3 = a2a3 )
| ( p1 = A_3468 )
| ~ incident(A_3468,a2a3)
| ~ incident(A_3468,b2b3) ),
inference(resolution,[status(thm)],[c_62,c_101030]) ).
tff(c_101055,plain,
! [A_3469] :
( ( p1 = A_3469 )
| ~ incident(A_3469,a2a3)
| ~ incident(A_3469,b2b3) ),
inference(negUnitSimplification,[status(thm)],[c_115,c_101042]) ).
tff(c_101083,plain,
( ( p1 = b3 )
| ~ incident(b3,a2a3) ),
inference(resolution,[status(thm)],[c_32,c_101055]) ).
tff(c_101085,plain,
~ incident(b3,a2a3),
inference(splitLeft,[status(thm)],[c_101083]) ).
tff(c_101131,plain,
! [C_3471,A_3472] :
( ( s3 = C_3471 )
| ( a3 = A_3472 )
| ~ incident(a3,C_3471)
| ~ incident(A_3472,s3)
| ~ incident(A_3472,C_3471) ),
inference(resolution,[status(thm)],[c_48,c_89750]) ).
tff(c_101155,plain,
! [A_3472] :
( ( s3 = a2a3 )
| ( a3 = A_3472 )
| ~ incident(A_3472,s3)
| ~ incident(A_3472,a2a3) ),
inference(resolution,[status(thm)],[c_20,c_101131]) ).
tff(c_101183,plain,
s3 = a2a3,
inference(splitLeft,[status(thm)],[c_101155]) ).
tff(c_101189,plain,
incident(b3,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_101183,c_54]) ).
tff(c_101194,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_101085,c_101189]) ).
tff(c_101216,plain,
! [A_3474] :
( ( a3 = A_3474 )
| ~ incident(A_3474,s3)
| ~ incident(A_3474,a2a3) ),
inference(splitRight,[status(thm)],[c_101155]) ).
tff(c_101219,plain,
( ( a3 = a2 )
| ~ incident(a2,a2a3) ),
inference(resolution,[status(thm)],[c_100520,c_101216]) ).
tff(c_101236,plain,
a3 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_18,c_101219]) ).
tff(c_101238,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_121,c_101236]) ).
tff(c_101239,plain,
p1 = b3,
inference(splitRight,[status(thm)],[c_101083]) ).
tff(c_101278,plain,
~ incident(b3,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_101239,c_89502]) ).
tff(c_101286,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_71916,c_101278]) ).
tff(c_101288,plain,
incident(p1,a1a2),
inference(splitRight,[status(thm)],[c_135]) ).
tff(c_89497,plain,
incident(p1,b1b2),
inference(splitRight,[status(thm)],[c_131]) ).
tff(c_101546,plain,
! [D_3493,C_3494,B_3495,A_3496] :
( ( D_3493 = C_3494 )
| ( B_3495 = A_3496 )
| ~ incident(B_3495,D_3493)
| ~ incident(B_3495,C_3494)
| ~ incident(A_3496,D_3493)
| ~ incident(A_3496,C_3494) ),
inference(cnfTransformation,[status(thm)],[f_153]) ).
tff(c_102893,plain,
! [C_3535,A_3536] :
( ( b1b2 = C_3535 )
| ( p3 = A_3536 )
| ~ incident(p3,C_3535)
| ~ incident(A_3536,b1b2)
| ~ incident(A_3536,C_3535) ),
inference(resolution,[status(thm)],[c_58,c_101546]) ).
tff(c_102901,plain,
! [A_3536] :
( ( b1b2 = a1a2 )
| ( p3 = A_3536 )
| ~ incident(A_3536,b1b2)
| ~ incident(A_3536,a1a2) ),
inference(resolution,[status(thm)],[c_56,c_102893]) ).
tff(c_102916,plain,
! [A_3537] :
( ( p3 = A_3537 )
| ~ incident(A_3537,b1b2)
| ~ incident(A_3537,a1a2) ),
inference(negUnitSimplification,[status(thm)],[c_116,c_102901]) ).
tff(c_102927,plain,
( ( p3 = p1 )
| ~ incident(p1,a1a2) ),
inference(resolution,[status(thm)],[c_89497,c_102916]) ).
tff(c_102948,plain,
p3 = p1,
inference(demodulation,[status(thm),theory(equality)],[c_101288,c_102927]) ).
tff(c_71766,plain,
point(p3),
inference(resolution,[status(thm)],[c_56,c_71675]) ).
tff(c_101488,plain,
! [B_3483,A_3484] :
( incident(B_3483,'#skF_1'(A_3484,B_3483))
| ~ point(B_3483)
| ~ point(A_3484) ),
inference(cnfTransformation,[status(thm)],[f_162]) ).
tff(c_101498,plain,
! [A_3484] :
( ~ incident(p2,'#skF_1'(A_3484,p3))
| ~ incident(p1,'#skF_1'(A_3484,p3))
| ~ point(p3)
| ~ point(A_3484) ),
inference(resolution,[status(thm)],[c_101488,c_125]) ).
tff(c_101538,plain,
! [A_3492] :
( ~ incident(p2,'#skF_1'(A_3492,p3))
| ~ incident(p1,'#skF_1'(A_3492,p3))
| ~ point(A_3492) ),
inference(demodulation,[status(thm),theory(equality)],[c_71766,c_101498]) ).
tff(c_101542,plain,
( ~ incident(p1,'#skF_1'(p2,p3))
| ~ point(p3)
| ~ point(p2) ),
inference(resolution,[status(thm)],[c_107,c_101538]) ).
tff(c_101545,plain,
~ incident(p1,'#skF_1'(p2,p3)),
inference(demodulation,[status(thm),theory(equality)],[c_71763,c_71766,c_101542]) ).
tff(c_102959,plain,
~ incident(p1,'#skF_1'(p2,p1)),
inference(demodulation,[status(thm),theory(equality)],[c_102948,c_101545]) ).
tff(c_102978,plain,
( ~ point(p1)
| ~ point(p2) ),
inference(resolution,[status(thm)],[c_105,c_102959]) ).
tff(c_102982,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_71763,c_71772,c_102978]) ).
tff(c_102983,plain,
( ~ incident(a2,b3b1)
| ~ incident(a3,b1b2) ),
inference(splitRight,[status(thm)],[c_124]) ).
tff(c_137975,plain,
~ incident(a3,b1b2),
inference(splitLeft,[status(thm)],[c_102983]) ).
tff(c_137741,plain,
! [A_4694,B_4695] :
( point(A_4694)
| ~ incident(A_4694,B_4695) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_137850,plain,
point(p2),
inference(resolution,[status(thm)],[c_66,c_137741]) ).
tff(c_137847,plain,
point(p1),
inference(resolution,[status(thm)],[c_62,c_137741]) ).
tff(c_154972,plain,
incident(b2,a3a1),
inference(negUnitSimplification,[status(thm)],[c_137975,c_12]) ).
tff(c_102984,plain,
incident(a1,b2b3),
inference(splitRight,[status(thm)],[c_124]) ).
tff(c_155073,plain,
! [D_5270,C_5271,B_5272,A_5273] :
( ( D_5270 = C_5271 )
| ( B_5272 = A_5273 )
| ~ incident(B_5272,D_5270)
| ~ incident(B_5272,C_5271)
| ~ incident(A_5273,D_5270)
| ~ incident(A_5273,C_5271) ),
inference(cnfTransformation,[status(thm)],[f_153]) ).
tff(c_155205,plain,
! [C_5276,A_5277] :
( ( b2b3 = C_5276 )
| ( a1 = A_5277 )
| ~ incident(a1,C_5276)
| ~ incident(A_5277,b2b3)
| ~ incident(A_5277,C_5276) ),
inference(resolution,[status(thm)],[c_102984,c_155073]) ).
tff(c_155230,plain,
! [A_5277] :
( ( b2b3 = a3a1 )
| ( a1 = A_5277 )
| ~ incident(A_5277,b2b3)
| ~ incident(A_5277,a3a1) ),
inference(resolution,[status(thm)],[c_24,c_155205]) ).
tff(c_161973,plain,
b2b3 = a3a1,
inference(splitLeft,[status(thm)],[c_155230]) ).
tff(c_161887,plain,
! [C_5473,A_5474] :
( ( b2b3 = C_5473 )
| ( p1 = A_5474 )
| ~ incident(p1,C_5473)
| ~ incident(A_5474,b2b3)
| ~ incident(A_5474,C_5473) ),
inference(resolution,[status(thm)],[c_62,c_155073]) ).
tff(c_161897,plain,
! [A_5474] :
( ( b2b3 = a2a3 )
| ( p1 = A_5474 )
| ~ incident(A_5474,b2b3)
| ~ incident(A_5474,a2a3) ),
inference(resolution,[status(thm)],[c_60,c_161887]) ).
tff(c_161909,plain,
! [A_5474] :
( ( p1 = A_5474 )
| ~ incident(A_5474,b2b3)
| ~ incident(A_5474,a2a3) ),
inference(negUnitSimplification,[status(thm)],[c_115,c_161897]) ).
tff(c_161990,plain,
! [A_5478] :
( ( p1 = A_5478 )
| ~ incident(A_5478,a3a1)
| ~ incident(A_5478,a2a3) ),
inference(demodulation,[status(thm),theory(equality)],[c_161973,c_161909]) ).
tff(c_162007,plain,
( ( p1 = a3 )
| ~ incident(a3,a2a3) ),
inference(resolution,[status(thm)],[c_22,c_161990]) ).
tff(c_162021,plain,
p1 = a3,
inference(demodulation,[status(thm),theory(equality)],[c_20,c_162007]) ).
tff(c_148896,plain,
incident(b2,a3a1),
inference(negUnitSimplification,[status(thm)],[c_137975,c_12]) ).
tff(c_138100,plain,
! [D_4712,C_4713,B_4714,A_4715] :
( ( D_4712 = C_4713 )
| ( B_4714 = A_4715 )
| ~ incident(B_4714,D_4712)
| ~ incident(B_4714,C_4713)
| ~ incident(A_4715,D_4712)
| ~ incident(A_4715,C_4713) ),
inference(cnfTransformation,[status(thm)],[f_153]) ).
tff(c_138203,plain,
! [C_4716,A_4717] :
( ( s2 = C_4716 )
| ( b2 = A_4717 )
| ~ incident(b2,C_4716)
| ~ incident(A_4717,s2)
| ~ incident(A_4717,C_4716) ),
inference(resolution,[status(thm)],[c_52,c_138100]) ).
tff(c_138227,plain,
! [A_4717] :
( ( s2 = b1b2 )
| ( b2 = A_4717 )
| ~ incident(A_4717,s2)
| ~ incident(A_4717,b1b2) ),
inference(resolution,[status(thm)],[c_28,c_138203]) ).
tff(c_138229,plain,
s2 = b1b2,
inference(splitLeft,[status(thm)],[c_138227]) ).
tff(c_138234,plain,
incident(a2,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_138229,c_46]) ).
tff(c_102995,plain,
! [A_3539,B_3540] :
( point(A_3539)
| ~ incident(A_3539,B_3540) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_103096,plain,
point(a1),
inference(resolution,[status(thm)],[c_44,c_102995]) ).
tff(c_103081,plain,
point(p2),
inference(resolution,[status(thm)],[c_64,c_102995]) ).
tff(c_103108,plain,
~ incident(a3,b1b2),
inference(splitLeft,[status(thm)],[c_102983]) ).
tff(c_133393,plain,
incident(b2,a3a1),
inference(negUnitSimplification,[status(thm)],[c_103108,c_12]) ).
tff(c_102985,plain,
~ incident(b1,a2a3),
inference(splitLeft,[status(thm)],[c_123]) ).
tff(c_111230,plain,
incident(a2,b3b1),
inference(negUnitSimplification,[status(thm)],[c_102985,c_10]) ).
tff(c_111262,plain,
incident(b2,a3a1),
inference(negUnitSimplification,[status(thm)],[c_103108,c_12]) ).
tff(c_111358,plain,
! [D_3834,C_3835,B_3836,A_3837] :
( ( D_3834 = C_3835 )
| ( B_3836 = A_3837 )
| ~ incident(B_3836,D_3834)
| ~ incident(B_3836,C_3835)
| ~ incident(A_3837,D_3834)
| ~ incident(A_3837,C_3835) ),
inference(cnfTransformation,[status(thm)],[f_153]) ).
tff(c_117991,plain,
! [C_4054,A_4055] :
( ( b2b3 = C_4054 )
| ( a1 = A_4055 )
| ~ incident(a1,C_4054)
| ~ incident(A_4055,b2b3)
| ~ incident(A_4055,C_4054) ),
inference(resolution,[status(thm)],[c_102984,c_111358]) ).
tff(c_118016,plain,
! [A_4055] :
( ( b2b3 = a3a1 )
| ( a1 = A_4055 )
| ~ incident(A_4055,b2b3)
| ~ incident(A_4055,a3a1) ),
inference(resolution,[status(thm)],[c_24,c_117991]) ).
tff(c_118225,plain,
b2b3 = a3a1,
inference(splitLeft,[status(thm)],[c_118016]) ).
tff(c_117251,plain,
! [C_4028,A_4029] :
( ( b2b3 = C_4028 )
| ( a1 = A_4029 )
| ~ incident(a1,C_4028)
| ~ incident(A_4029,b2b3)
| ~ incident(A_4029,C_4028) ),
inference(resolution,[status(thm)],[c_102984,c_111358]) ).
tff(c_117276,plain,
! [A_4029] :
( ( b2b3 = a3a1 )
| ( a1 = A_4029 )
| ~ incident(A_4029,b2b3)
| ~ incident(A_4029,a3a1) ),
inference(resolution,[status(thm)],[c_24,c_117251]) ).
tff(c_117336,plain,
b2b3 = a3a1,
inference(splitLeft,[status(thm)],[c_117276]) ).
tff(c_117082,plain,
! [C_4024,A_4025] :
( ( b2b3 = C_4024 )
| ( b3 = A_4025 )
| ~ incident(b3,C_4024)
| ~ incident(A_4025,b2b3)
| ~ incident(A_4025,C_4024) ),
inference(resolution,[status(thm)],[c_32,c_111358]) ).
tff(c_117104,plain,
! [A_4025] :
( ( b3b1 = b2b3 )
| ( b3 = A_4025 )
| ~ incident(A_4025,b2b3)
| ~ incident(A_4025,b3b1) ),
inference(resolution,[status(thm)],[c_34,c_117082]) ).
tff(c_117162,plain,
b3b1 = b2b3,
inference(splitLeft,[status(thm)],[c_117104]) ).
tff(c_117163,plain,
incident(a2,b2b3),
inference(demodulation,[status(thm),theory(equality)],[c_117162,c_111230]) ).
tff(c_113010,plain,
! [C_3890,A_3891] :
( ( b2b3 = C_3890 )
| ( a1 = A_3891 )
| ~ incident(a1,C_3890)
| ~ incident(A_3891,b2b3)
| ~ incident(A_3891,C_3890) ),
inference(resolution,[status(thm)],[c_102984,c_111358]) ).
tff(c_113035,plain,
! [A_3891] :
( ( b2b3 = a3a1 )
| ( a1 = A_3891 )
| ~ incident(A_3891,b2b3)
| ~ incident(A_3891,a3a1) ),
inference(resolution,[status(thm)],[c_24,c_113010]) ).
tff(c_113105,plain,
b2b3 = a3a1,
inference(splitLeft,[status(thm)],[c_113035]) ).
tff(c_103258,plain,
incident(b2,a3a1),
inference(negUnitSimplification,[status(thm)],[c_103108,c_12]) ).
tff(c_103352,plain,
! [D_3557,C_3558,B_3559,A_3560] :
( ( D_3557 = C_3558 )
| ( B_3559 = A_3560 )
| ~ incident(B_3559,D_3557)
| ~ incident(B_3559,C_3558)
| ~ incident(A_3560,D_3557)
| ~ incident(A_3560,C_3558) ),
inference(cnfTransformation,[status(thm)],[f_153]) ).
tff(c_104623,plain,
! [C_3601,A_3602] :
( ( b2b3 = C_3601 )
| ( a1 = A_3602 )
| ~ incident(a1,C_3601)
| ~ incident(A_3602,b2b3)
| ~ incident(A_3602,C_3601) ),
inference(resolution,[status(thm)],[c_102984,c_103352]) ).
tff(c_104648,plain,
! [A_3602] :
( ( b2b3 = a3a1 )
| ( a1 = A_3602 )
| ~ incident(A_3602,b2b3)
| ~ incident(A_3602,a3a1) ),
inference(resolution,[status(thm)],[c_24,c_104623]) ).
tff(c_104651,plain,
b2b3 = a3a1,
inference(splitLeft,[status(thm)],[c_104648]) ).
tff(c_104679,plain,
incident(b3,a3a1),
inference(demodulation,[status(thm),theory(equality)],[c_104651,c_32]) ).
tff(c_104647,plain,
! [A_3602] :
( ( s1 = b2b3 )
| ( a1 = A_3602 )
| ~ incident(A_3602,b2b3)
| ~ incident(A_3602,s1) ),
inference(resolution,[status(thm)],[c_44,c_104623]) ).
tff(c_104702,plain,
! [A_3602] :
( ( s1 = a3a1 )
| ( a1 = A_3602 )
| ~ incident(A_3602,a3a1)
| ~ incident(A_3602,s1) ),
inference(demodulation,[status(thm),theory(equality)],[c_104651,c_104651,c_104647]) ).
tff(c_104703,plain,
s1 = a3a1,
inference(splitLeft,[status(thm)],[c_104702]) ).
tff(c_103446,plain,
! [C_3558,A_3560] :
( ( s1 = C_3558 )
| ( b1 = A_3560 )
| ~ incident(b1,C_3558)
| ~ incident(A_3560,s1)
| ~ incident(A_3560,C_3558) ),
inference(resolution,[status(thm)],[c_50,c_103352]) ).
tff(c_105173,plain,
! [C_3619,A_3620] :
( ( a3a1 = C_3619 )
| ( b1 = A_3620 )
| ~ incident(b1,C_3619)
| ~ incident(A_3620,a3a1)
| ~ incident(A_3620,C_3619) ),
inference(demodulation,[status(thm),theory(equality)],[c_104703,c_104703,c_103446]) ).
tff(c_105185,plain,
! [A_3620] :
( ( b3b1 = a3a1 )
| ( b1 = A_3620 )
| ~ incident(A_3620,a3a1)
| ~ incident(A_3620,b3b1) ),
inference(resolution,[status(thm)],[c_36,c_105173]) ).
tff(c_105198,plain,
! [A_3621] :
( ( b1 = A_3621 )
| ~ incident(A_3621,a3a1)
| ~ incident(A_3621,b3b1) ),
inference(negUnitSimplification,[status(thm)],[c_114,c_105185]) ).
tff(c_105218,plain,
( ( b3 = b1 )
| ~ incident(b3,a3a1) ),
inference(resolution,[status(thm)],[c_34,c_105198]) ).
tff(c_105235,plain,
b3 = b1,
inference(demodulation,[status(thm),theory(equality)],[c_104679,c_105218]) ).
tff(c_105237,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_117,c_105235]) ).
tff(c_105272,plain,
! [A_3622] :
( ( a1 = A_3622 )
| ~ incident(A_3622,a3a1)
| ~ incident(A_3622,s1) ),
inference(splitRight,[status(thm)],[c_104702]) ).
tff(c_105296,plain,
( ( s = a1 )
| ~ incident(s,a3a1) ),
inference(resolution,[status(thm)],[c_38,c_105272]) ).
tff(c_105302,plain,
~ incident(s,a3a1),
inference(splitLeft,[status(thm)],[c_105296]) ).
tff(c_103083,plain,
point(p3),
inference(resolution,[status(thm)],[c_56,c_102995]) ).
tff(c_103093,plain,
point(a3),
inference(resolution,[status(thm)],[c_48,c_102995]) ).
tff(c_104678,plain,
incident(p1,a3a1),
inference(demodulation,[status(thm),theory(equality)],[c_104651,c_62]) ).
tff(c_104681,plain,
a3a1 != a2a3,
inference(demodulation,[status(thm),theory(equality)],[c_104651,c_115]) ).
tff(c_106508,plain,
! [C_3667,A_3668] :
( ( a3a1 = C_3667 )
| ( a3 = A_3668 )
| ~ incident(a3,C_3667)
| ~ incident(A_3668,a3a1)
| ~ incident(A_3668,C_3667) ),
inference(resolution,[status(thm)],[c_22,c_103352]) ).
tff(c_106518,plain,
! [A_3668] :
( ( a3a1 = a2a3 )
| ( a3 = A_3668 )
| ~ incident(A_3668,a3a1)
| ~ incident(A_3668,a2a3) ),
inference(resolution,[status(thm)],[c_20,c_106508]) ).
tff(c_106568,plain,
! [A_3670] :
( ( a3 = A_3670 )
| ~ incident(A_3670,a3a1)
| ~ incident(A_3670,a2a3) ),
inference(negUnitSimplification,[status(thm)],[c_104681,c_106518]) ).
tff(c_106571,plain,
( ( p1 = a3 )
| ~ incident(p1,a2a3) ),
inference(resolution,[status(thm)],[c_104678,c_106568]) ).
tff(c_106591,plain,
p1 = a3,
inference(demodulation,[status(thm),theory(equality)],[c_60,c_106571]) ).
tff(c_105382,plain,
! [C_3626,A_3627] :
( ( s1 = C_3626 )
| ( b1 = A_3627 )
| ~ incident(b1,C_3626)
| ~ incident(A_3627,s1)
| ~ incident(A_3627,C_3626) ),
inference(resolution,[status(thm)],[c_50,c_103352]) ).
tff(c_105404,plain,
! [A_3627] :
( ( s1 = b3b1 )
| ( b1 = A_3627 )
| ~ incident(A_3627,s1)
| ~ incident(A_3627,b3b1) ),
inference(resolution,[status(thm)],[c_36,c_105382]) ).
tff(c_105470,plain,
s1 = b3b1,
inference(splitLeft,[status(thm)],[c_105404]) ).
tff(c_105476,plain,
incident(a1,b3b1),
inference(demodulation,[status(thm),theory(equality)],[c_105470,c_44]) ).
tff(c_105303,plain,
! [C_3623,A_3624] :
( ( b3b1 = C_3623 )
| ( b3 = A_3624 )
| ~ incident(b3,C_3623)
| ~ incident(A_3624,b3b1)
| ~ incident(A_3624,C_3623) ),
inference(resolution,[status(thm)],[c_34,c_103352]) ).
tff(c_105305,plain,
! [A_3624] :
( ( b3b1 = a3a1 )
| ( b3 = A_3624 )
| ~ incident(A_3624,b3b1)
| ~ incident(A_3624,a3a1) ),
inference(resolution,[status(thm)],[c_104679,c_105303]) ).
tff(c_105318,plain,
! [A_3624] :
( ( b3 = A_3624 )
| ~ incident(A_3624,b3b1)
| ~ incident(A_3624,a3a1) ),
inference(negUnitSimplification,[status(thm)],[c_114,c_105305]) ).
tff(c_105512,plain,
( ( b3 = a1 )
| ~ incident(a1,a3a1) ),
inference(resolution,[status(thm)],[c_105476,c_105318]) ).
tff(c_105523,plain,
b3 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_24,c_105512]) ).
tff(c_102994,plain,
( ~ incident(p2,a1a2)
| ~ incident(p1,a1a2) ),
inference(resolution,[status(thm)],[c_56,c_125]) ).
tff(c_103112,plain,
~ incident(p1,a1a2),
inference(splitLeft,[status(thm)],[c_102994]) ).
tff(c_104644,plain,
! [A_3602] :
( ( b2b3 = a1a2 )
| ( a1 = A_3602 )
| ~ incident(A_3602,b2b3)
| ~ incident(A_3602,a1a2) ),
inference(resolution,[status(thm)],[c_14,c_104623]) ).
tff(c_105240,plain,
! [A_3602] :
( ( a3a1 = a1a2 )
| ( a1 = A_3602 )
| ~ incident(A_3602,a3a1)
| ~ incident(A_3602,a1a2) ),
inference(demodulation,[status(thm),theory(equality)],[c_104651,c_104651,c_104644]) ).
tff(c_105241,plain,
a3a1 = a1a2,
inference(splitLeft,[status(thm)],[c_105240]) ).
tff(c_105243,plain,
incident(p1,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_105241,c_104678]) ).
tff(c_105253,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_103112,c_105243]) ).
tff(c_105405,plain,
! [A_3628] :
( ( a1 = A_3628 )
| ~ incident(A_3628,a3a1)
| ~ incident(A_3628,a1a2) ),
inference(splitRight,[status(thm)],[c_105240]) ).
tff(c_105429,plain,
( ( b3 = a1 )
| ~ incident(b3,a1a2) ),
inference(resolution,[status(thm)],[c_104679,c_105405]) ).
tff(c_105445,plain,
~ incident(b3,a1a2),
inference(splitLeft,[status(thm)],[c_105429]) ).
tff(c_105529,plain,
~ incident(a1,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_105523,c_105445]) ).
tff(c_105545,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_105529]) ).
tff(c_105580,plain,
! [A_3633] :
( ( b1 = A_3633 )
| ~ incident(A_3633,s1)
| ~ incident(A_3633,b3b1) ),
inference(splitRight,[status(thm)],[c_105404]) ).
tff(c_105604,plain,
( ( s = b1 )
| ~ incident(s,b3b1) ),
inference(resolution,[status(thm)],[c_38,c_105580]) ).
tff(c_105610,plain,
~ incident(s,b3b1),
inference(splitLeft,[status(thm)],[c_105604]) ).
tff(c_105325,plain,
! [A_3624] :
( ( s3 = b3b1 )
| ( b3 = A_3624 )
| ~ incident(A_3624,b3b1)
| ~ incident(A_3624,s3) ),
inference(resolution,[status(thm)],[c_54,c_105303]) ).
tff(c_105710,plain,
s3 = b3b1,
inference(splitLeft,[status(thm)],[c_105325]) ).
tff(c_105736,plain,
incident(s,b3b1),
inference(demodulation,[status(thm),theory(equality)],[c_105710,c_42]) ).
tff(c_105740,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_105610,c_105736]) ).
tff(c_105743,plain,
! [A_3640] :
( ( b3 = A_3640 )
| ~ incident(A_3640,b3b1)
| ~ incident(A_3640,s3) ),
inference(splitRight,[status(thm)],[c_105325]) ).
tff(c_105771,plain,
( ( b3 = a3 )
| ~ incident(a3,b3b1) ),
inference(resolution,[status(thm)],[c_48,c_105743]) ).
tff(c_105805,plain,
~ incident(a3,b3b1),
inference(splitLeft,[status(thm)],[c_105771]) ).
tff(c_104652,plain,
! [C_3603,A_3604] :
( ( s3 = C_3603 )
| ( b3 = A_3604 )
| ~ incident(b3,C_3603)
| ~ incident(A_3604,s3)
| ~ incident(A_3604,C_3603) ),
inference(resolution,[status(thm)],[c_54,c_103352]) ).
tff(c_104673,plain,
! [A_3604] :
( ( s3 = b2b3 )
| ( b3 = A_3604 )
| ~ incident(A_3604,s3)
| ~ incident(A_3604,b2b3) ),
inference(resolution,[status(thm)],[c_32,c_104652]) ).
tff(c_105806,plain,
! [A_3604] :
( ( s3 = a3a1 )
| ( b3 = A_3604 )
| ~ incident(A_3604,s3)
| ~ incident(A_3604,a3a1) ),
inference(demodulation,[status(thm),theory(equality)],[c_104651,c_104651,c_104673]) ).
tff(c_105807,plain,
s3 = a3a1,
inference(splitLeft,[status(thm)],[c_105806]) ).
tff(c_105814,plain,
incident(s,a3a1),
inference(demodulation,[status(thm),theory(equality)],[c_105807,c_42]) ).
tff(c_105819,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_105302,c_105814]) ).
tff(c_105845,plain,
! [A_3644] :
( ( b3 = A_3644 )
| ~ incident(A_3644,s3)
| ~ incident(A_3644,a3a1) ),
inference(splitRight,[status(thm)],[c_105806]) ).
tff(c_105859,plain,
( ( b3 = a3 )
| ~ incident(a3,a3a1) ),
inference(resolution,[status(thm)],[c_48,c_105845]) ).
tff(c_105875,plain,
b3 = a3,
inference(demodulation,[status(thm),theory(equality)],[c_22,c_105859]) ).
tff(c_105892,plain,
incident(a3,b3b1),
inference(demodulation,[status(thm),theory(equality)],[c_105875,c_34]) ).
tff(c_105899,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_105805,c_105892]) ).
tff(c_105900,plain,
b3 = a3,
inference(splitRight,[status(thm)],[c_105771]) ).
tff(c_105329,plain,
! [A_3625] :
( ( b3 = A_3625 )
| ~ incident(A_3625,b3b1)
| ~ incident(A_3625,a3a1) ),
inference(negUnitSimplification,[status(thm)],[c_114,c_105305]) ).
tff(c_105343,plain,
( ( p2 = b3 )
| ~ incident(p2,a3a1) ),
inference(resolution,[status(thm)],[c_66,c_105329]) ).
tff(c_105359,plain,
p2 = b3,
inference(demodulation,[status(thm),theory(equality)],[c_64,c_105343]) ).
tff(c_103100,plain,
point(p2),
inference(resolution,[status(thm)],[c_66,c_102995]) ).
tff(c_103321,plain,
! [B_3554,A_3555] :
( incident(B_3554,'#skF_1'(A_3555,B_3554))
| ~ point(B_3554)
| ~ point(A_3555) ),
inference(cnfTransformation,[status(thm)],[f_162]) ).
tff(c_103292,plain,
! [A_3545,B_3546] :
( incident(A_3545,'#skF_1'(A_3545,B_3546))
| ~ point(B_3546)
| ~ point(A_3545) ),
inference(cnfTransformation,[status(thm)],[f_162]) ).
tff(c_103302,plain,
! [B_3546] :
( ~ incident(p2,'#skF_1'(p3,B_3546))
| ~ incident(p1,'#skF_1'(p3,B_3546))
| ~ point(B_3546)
| ~ point(p3) ),
inference(resolution,[status(thm)],[c_103292,c_125]) ).
tff(c_103307,plain,
! [B_3546] :
( ~ incident(p2,'#skF_1'(p3,B_3546))
| ~ incident(p1,'#skF_1'(p3,B_3546))
| ~ point(B_3546) ),
inference(demodulation,[status(thm),theory(equality)],[c_103083,c_103302]) ).
tff(c_103325,plain,
( ~ incident(p1,'#skF_1'(p3,p2))
| ~ point(p2)
| ~ point(p3) ),
inference(resolution,[status(thm)],[c_103321,c_103307]) ).
tff(c_103338,plain,
~ incident(p1,'#skF_1'(p3,p2)),
inference(demodulation,[status(thm),theory(equality)],[c_103083,c_103100,c_103325]) ).
tff(c_105368,plain,
~ incident(p1,'#skF_1'(p3,b3)),
inference(demodulation,[status(thm),theory(equality)],[c_105359,c_103338]) ).
tff(c_105915,plain,
~ incident(p1,'#skF_1'(p3,a3)),
inference(demodulation,[status(thm),theory(equality)],[c_105900,c_105368]) ).
tff(c_106610,plain,
~ incident(a3,'#skF_1'(p3,a3)),
inference(demodulation,[status(thm),theory(equality)],[c_106591,c_105915]) ).
tff(c_106626,plain,
( ~ point(a3)
| ~ point(p3) ),
inference(resolution,[status(thm)],[c_105,c_106610]) ).
tff(c_106630,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_103083,c_103093,c_106626]) ).
tff(c_106631,plain,
s = b1,
inference(splitRight,[status(thm)],[c_105604]) ).
tff(c_102986,plain,
! [A_3538] :
( ~ incident(p2,A_3538)
| ~ incident(p1,A_3538)
| ~ incident(p3,A_3538) ),
inference(negUnitSimplification,[status(thm)],[c_113,c_2]) ).
tff(c_102990,plain,
( ~ incident(p2,b1b2)
| ~ incident(p1,b1b2) ),
inference(resolution,[status(thm)],[c_58,c_102986]) ).
tff(c_103230,plain,
~ incident(p1,b1b2),
inference(splitLeft,[status(thm)],[c_102990]) ).
tff(c_103455,plain,
! [C_3561,A_3562] :
( ( s2 = C_3561 )
| ( b2 = A_3562 )
| ~ incident(b2,C_3561)
| ~ incident(A_3562,s2)
| ~ incident(A_3562,C_3561) ),
inference(resolution,[status(thm)],[c_52,c_103352]) ).
tff(c_103479,plain,
! [A_3562] :
( ( s2 = b1b2 )
| ( b2 = A_3562 )
| ~ incident(A_3562,s2)
| ~ incident(A_3562,b1b2) ),
inference(resolution,[status(thm)],[c_28,c_103455]) ).
tff(c_103481,plain,
s2 = b1b2,
inference(splitLeft,[status(thm)],[c_103479]) ).
tff(c_103480,plain,
! [A_3562] :
( ( s2 = b2b3 )
| ( b2 = A_3562 )
| ~ incident(A_3562,s2)
| ~ incident(A_3562,b2b3) ),
inference(resolution,[status(thm)],[c_30,c_103455]) ).
tff(c_103545,plain,
! [A_3562] :
( ( b2b3 = b1b2 )
| ( b2 = A_3562 )
| ~ incident(A_3562,b1b2)
| ~ incident(A_3562,b2b3) ),
inference(demodulation,[status(thm),theory(equality)],[c_103481,c_103481,c_103480]) ).
tff(c_103546,plain,
b2b3 = b1b2,
inference(splitLeft,[status(thm)],[c_103545]) ).
tff(c_103550,plain,
incident(p1,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_103546,c_62]) ).
tff(c_103556,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_103230,c_103550]) ).
tff(c_103585,plain,
! [A_3567] :
( ( b2 = A_3567 )
| ~ incident(A_3567,b1b2)
| ~ incident(A_3567,b2b3) ),
inference(splitRight,[status(thm)],[c_103545]) ).
tff(c_103602,plain,
( ( b3 = b2 )
| ~ incident(b3,b1b2) ),
inference(resolution,[status(thm)],[c_32,c_103585]) ).
tff(c_103616,plain,
~ incident(b3,b1b2),
inference(negUnitSimplification,[status(thm)],[c_118,c_103602]) ).
tff(c_103239,plain,
incident(a2,b3b1),
inference(negUnitSimplification,[status(thm)],[c_102985,c_10]) ).
tff(c_103448,plain,
! [C_3558,A_3560] :
( ( s2 = C_3558 )
| ( a2 = A_3560 )
| ~ incident(a2,C_3558)
| ~ incident(A_3560,s2)
| ~ incident(A_3560,C_3558) ),
inference(resolution,[status(thm)],[c_46,c_103352]) ).
tff(c_104049,plain,
! [C_3580,A_3581] :
( ( b1b2 = C_3580 )
| ( a2 = A_3581 )
| ~ incident(a2,C_3580)
| ~ incident(A_3581,b1b2)
| ~ incident(A_3581,C_3580) ),
inference(demodulation,[status(thm),theory(equality)],[c_103481,c_103481,c_103448]) ).
tff(c_104072,plain,
! [A_3581] :
( ( b3b1 = b1b2 )
| ( a2 = A_3581 )
| ~ incident(A_3581,b1b2)
| ~ incident(A_3581,b3b1) ),
inference(resolution,[status(thm)],[c_103239,c_104049]) ).
tff(c_104488,plain,
b3b1 = b1b2,
inference(splitLeft,[status(thm)],[c_104072]) ).
tff(c_104496,plain,
incident(b3,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_104488,c_34]) ).
tff(c_104502,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_103616,c_104496]) ).
tff(c_104505,plain,
! [A_3597] :
( ( a2 = A_3597 )
| ~ incident(A_3597,b1b2)
| ~ incident(A_3597,b3b1) ),
inference(splitRight,[status(thm)],[c_104072]) ).
tff(c_104522,plain,
( ( b1 = a2 )
| ~ incident(b1,b1b2) ),
inference(resolution,[status(thm)],[c_36,c_104505]) ).
tff(c_104539,plain,
b1 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_26,c_104522]) ).
tff(c_104063,plain,
! [A_3581] :
( ( b1b2 = a1a2 )
| ( a2 = A_3581 )
| ~ incident(A_3581,b1b2)
| ~ incident(A_3581,a1a2) ),
inference(resolution,[status(thm)],[c_16,c_104049]) ).
tff(c_104090,plain,
! [A_3582] :
( ( a2 = A_3582 )
| ~ incident(A_3582,b1b2)
| ~ incident(A_3582,a1a2) ),
inference(negUnitSimplification,[status(thm)],[c_116,c_104063]) ).
tff(c_104128,plain,
( ( b1 = a2 )
| ~ incident(b1,a1a2) ),
inference(resolution,[status(thm)],[c_26,c_104090]) ).
tff(c_104146,plain,
~ incident(b1,a1a2),
inference(splitLeft,[status(thm)],[c_104128]) ).
tff(c_104542,plain,
~ incident(a2,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_104539,c_104146]) ).
tff(c_104553,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_104542]) ).
tff(c_104554,plain,
b1 = a2,
inference(splitRight,[status(thm)],[c_104128]) ).
tff(c_104581,plain,
~ incident(a2,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_104554,c_102985]) ).
tff(c_104590,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_18,c_104581]) ).
tff(c_104593,plain,
! [A_3600] :
( ( b2 = A_3600 )
| ~ incident(A_3600,s2)
| ~ incident(A_3600,b1b2) ),
inference(splitRight,[status(thm)],[c_103479]) ).
tff(c_104621,plain,
( ( s = b2 )
| ~ incident(s,b1b2) ),
inference(resolution,[status(thm)],[c_40,c_104593]) ).
tff(c_104649,plain,
~ incident(s,b1b2),
inference(splitLeft,[status(thm)],[c_104621]) ).
tff(c_106634,plain,
~ incident(b1,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_106631,c_104649]) ).
tff(c_106641,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_26,c_106634]) ).
tff(c_106642,plain,
b3 = a1,
inference(splitRight,[status(thm)],[c_105429]) ).
tff(c_106934,plain,
! [A_3604] :
( ( s3 = a3a1 )
| ( a1 = A_3604 )
| ~ incident(A_3604,s3)
| ~ incident(A_3604,a3a1) ),
inference(demodulation,[status(thm),theory(equality)],[c_104651,c_106642,c_104651,c_104673]) ).
tff(c_106935,plain,
s3 = a3a1,
inference(splitLeft,[status(thm)],[c_106934]) ).
tff(c_106949,plain,
incident(s,a3a1),
inference(demodulation,[status(thm),theory(equality)],[c_106935,c_42]) ).
tff(c_106954,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_105302,c_106949]) ).
tff(c_106957,plain,
! [A_3683] :
( ( a1 = A_3683 )
| ~ incident(A_3683,s3)
| ~ incident(A_3683,a3a1) ),
inference(splitRight,[status(thm)],[c_106934]) ).
tff(c_106971,plain,
( ( a3 = a1 )
| ~ incident(a3,a3a1) ),
inference(resolution,[status(thm)],[c_48,c_106957]) ).
tff(c_106987,plain,
a3 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_22,c_106971]) ).
tff(c_106989,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_120,c_106987]) ).
tff(c_106990,plain,
s = a1,
inference(splitRight,[status(thm)],[c_105296]) ).
tff(c_106992,plain,
~ incident(a1,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_106990,c_104649]) ).
tff(c_106995,plain,
incident(a1,s2),
inference(demodulation,[status(thm),theory(equality)],[c_106990,c_40]) ).
tff(c_107004,plain,
! [C_3684,A_3685] :
( ( b3b1 = C_3684 )
| ( b3 = A_3685 )
| ~ incident(b3,C_3684)
| ~ incident(A_3685,b3b1)
| ~ incident(A_3685,C_3684) ),
inference(resolution,[status(thm)],[c_34,c_103352]) ).
tff(c_107006,plain,
! [A_3685] :
( ( b3b1 = a3a1 )
| ( b3 = A_3685 )
| ~ incident(A_3685,b3b1)
| ~ incident(A_3685,a3a1) ),
inference(resolution,[status(thm)],[c_104679,c_107004]) ).
tff(c_107059,plain,
! [A_3686] :
( ( b3 = A_3686 )
| ~ incident(A_3686,b3b1)
| ~ incident(A_3686,a3a1) ),
inference(negUnitSimplification,[status(thm)],[c_114,c_107006]) ).
tff(c_107086,plain,
( ( b3 = a2 )
| ~ incident(a2,a3a1) ),
inference(resolution,[status(thm)],[c_103239,c_107059]) ).
tff(c_107142,plain,
~ incident(a2,a3a1),
inference(splitLeft,[status(thm)],[c_107086]) ).
tff(c_107209,plain,
! [A_3562] :
( ( s2 = a3a1 )
| ( b2 = A_3562 )
| ~ incident(A_3562,s2)
| ~ incident(A_3562,a3a1) ),
inference(demodulation,[status(thm),theory(equality)],[c_104651,c_104651,c_103480]) ).
tff(c_107210,plain,
s2 = a3a1,
inference(splitLeft,[status(thm)],[c_107209]) ).
tff(c_107218,plain,
incident(a2,a3a1),
inference(demodulation,[status(thm),theory(equality)],[c_107210,c_46]) ).
tff(c_107223,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_107142,c_107218]) ).
tff(c_107258,plain,
! [A_3692] :
( ( b2 = A_3692 )
| ~ incident(A_3692,s2)
| ~ incident(A_3692,a3a1) ),
inference(splitRight,[status(thm)],[c_107209]) ).
tff(c_107261,plain,
( ( b2 = a1 )
| ~ incident(a1,a3a1) ),
inference(resolution,[status(thm)],[c_106995,c_107258]) ).
tff(c_107278,plain,
b2 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_24,c_107261]) ).
tff(c_107143,plain,
! [A_3689] :
( ( a1 = A_3689 )
| ~ incident(A_3689,a3a1)
| ~ incident(A_3689,a1a2) ),
inference(splitRight,[status(thm)],[c_105240]) ).
tff(c_107175,plain,
( ( b2 = a1 )
| ~ incident(b2,a1a2) ),
inference(resolution,[status(thm)],[c_103258,c_107143]) ).
tff(c_107184,plain,
~ incident(b2,a1a2),
inference(splitLeft,[status(thm)],[c_107175]) ).
tff(c_107291,plain,
~ incident(a1,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_107278,c_107184]) ).
tff(c_107302,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_107291]) ).
tff(c_107303,plain,
b2 = a1,
inference(splitRight,[status(thm)],[c_107175]) ).
tff(c_107310,plain,
incident(a1,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_107303,c_28]) ).
tff(c_107317,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106992,c_107310]) ).
tff(c_107319,plain,
incident(a2,a3a1),
inference(splitRight,[status(thm)],[c_107086]) ).
tff(c_107473,plain,
! [A_3699] :
( ( a1 = A_3699 )
| ~ incident(A_3699,a3a1)
| ~ incident(A_3699,a1a2) ),
inference(splitRight,[status(thm)],[c_105240]) ).
tff(c_107476,plain,
( ( a2 = a1 )
| ~ incident(a2,a1a2) ),
inference(resolution,[status(thm)],[c_107319,c_107473]) ).
tff(c_107499,plain,
a2 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_107476]) ).
tff(c_107501,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_122,c_107499]) ).
tff(c_107504,plain,
! [A_3700] :
( ( a1 = A_3700 )
| ~ incident(A_3700,b2b3)
| ~ incident(A_3700,a3a1) ),
inference(splitRight,[status(thm)],[c_104648]) ).
tff(c_107524,plain,
( ( b2 = a1 )
| ~ incident(b2,a3a1) ),
inference(resolution,[status(thm)],[c_30,c_107504]) ).
tff(c_107539,plain,
b2 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_103258,c_107524]) ).
tff(c_107545,plain,
incident(a1,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_107539,c_28]) ).
tff(c_107544,plain,
incident(a1,s2),
inference(demodulation,[status(thm),theory(equality)],[c_107539,c_52]) ).
tff(c_107547,plain,
b1 != a1,
inference(demodulation,[status(thm),theory(equality)],[c_107539,c_119]) ).
tff(c_107939,plain,
! [C_3712,A_3713] :
( ( s1 = C_3712 )
| ( s = A_3713 )
| ~ incident(s,C_3712)
| ~ incident(A_3713,s1)
| ~ incident(A_3713,C_3712) ),
inference(resolution,[status(thm)],[c_38,c_103352]) ).
tff(c_107960,plain,
! [A_3713] :
( ( s2 = s1 )
| ( s = A_3713 )
| ~ incident(A_3713,s1)
| ~ incident(A_3713,s2) ),
inference(resolution,[status(thm)],[c_40,c_107939]) ).
tff(c_108489,plain,
s2 = s1,
inference(splitLeft,[status(thm)],[c_107960]) ).
tff(c_104591,plain,
! [A_3562] :
( ( b2 = A_3562 )
| ~ incident(A_3562,s2)
| ~ incident(A_3562,b1b2) ),
inference(splitRight,[status(thm)],[c_103479]) ).
tff(c_107540,plain,
! [A_3562] :
( ( a1 = A_3562 )
| ~ incident(A_3562,s2)
| ~ incident(A_3562,b1b2) ),
inference(demodulation,[status(thm),theory(equality)],[c_107539,c_104591]) ).
tff(c_108549,plain,
! [A_3735] :
( ( a1 = A_3735 )
| ~ incident(A_3735,s1)
| ~ incident(A_3735,b1b2) ),
inference(demodulation,[status(thm),theory(equality)],[c_108489,c_107540]) ).
tff(c_108569,plain,
( ( b1 = a1 )
| ~ incident(b1,b1b2) ),
inference(resolution,[status(thm)],[c_50,c_108549]) ).
tff(c_108585,plain,
b1 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_26,c_108569]) ).
tff(c_108587,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_107547,c_108585]) ).
tff(c_108590,plain,
! [A_3736] :
( ( s = A_3736 )
| ~ incident(A_3736,s1)
| ~ incident(A_3736,s2) ),
inference(splitRight,[status(thm)],[c_107960]) ).
tff(c_108593,plain,
( ( s = a1 )
| ~ incident(a1,s1) ),
inference(resolution,[status(thm)],[c_107544,c_108590]) ).
tff(c_108610,plain,
s = a1,
inference(demodulation,[status(thm),theory(equality)],[c_44,c_108593]) ).
tff(c_103432,plain,
! [C_3558,A_3560] :
( ( b2b3 = C_3558 )
| ( a1 = A_3560 )
| ~ incident(a1,C_3558)
| ~ incident(A_3560,b2b3)
| ~ incident(A_3560,C_3558) ),
inference(resolution,[status(thm)],[c_102984,c_103352]) ).
tff(c_107620,plain,
! [A_3560] :
( ( s2 = b2b3 )
| ( a1 = A_3560 )
| ~ incident(A_3560,b2b3)
| ~ incident(A_3560,s2) ),
inference(resolution,[status(thm)],[c_107544,c_103432]) ).
tff(c_107776,plain,
s2 = b2b3,
inference(splitLeft,[status(thm)],[c_107620]) ).
tff(c_107781,plain,
incident(a2,b2b3),
inference(demodulation,[status(thm),theory(equality)],[c_107776,c_46]) ).
tff(c_107595,plain,
b2b3 = a1a2,
inference(splitLeft,[status(thm)],[c_104644]) ).
tff(c_107601,plain,
incident(p1,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_107595,c_62]) ).
tff(c_107607,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_103112,c_107601]) ).
tff(c_107608,plain,
! [A_3602] :
( ( a1 = A_3602 )
| ~ incident(A_3602,b2b3)
| ~ incident(A_3602,a1a2) ),
inference(splitRight,[status(thm)],[c_104644]) ).
tff(c_107791,plain,
( ( a2 = a1 )
| ~ incident(a2,a1a2) ),
inference(resolution,[status(thm)],[c_107781,c_107608]) ).
tff(c_107805,plain,
a2 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_107791]) ).
tff(c_107807,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_122,c_107805]) ).
tff(c_107809,plain,
s2 != b2b3,
inference(splitRight,[status(thm)],[c_107620]) ).
tff(c_107693,plain,
s1 = b2b3,
inference(splitLeft,[status(thm)],[c_104647]) ).
tff(c_107695,plain,
incident(s,b2b3),
inference(demodulation,[status(thm),theory(equality)],[c_107693,c_38]) ).
tff(c_107810,plain,
! [C_3708,A_3709] :
( ( s2 = C_3708 )
| ( s = A_3709 )
| ~ incident(s,C_3708)
| ~ incident(A_3709,s2)
| ~ incident(A_3709,C_3708) ),
inference(resolution,[status(thm)],[c_40,c_103352]) ).
tff(c_107812,plain,
! [A_3709] :
( ( s2 = b2b3 )
| ( s = A_3709 )
| ~ incident(A_3709,s2)
| ~ incident(A_3709,b2b3) ),
inference(resolution,[status(thm)],[c_107695,c_107810]) ).
tff(c_107835,plain,
! [A_3710] :
( ( s = A_3710 )
| ~ incident(A_3710,s2)
| ~ incident(A_3710,b2b3) ),
inference(negUnitSimplification,[status(thm)],[c_107809,c_107812]) ).
tff(c_107838,plain,
( ( s = a1 )
| ~ incident(a1,b2b3) ),
inference(resolution,[status(thm)],[c_107544,c_107835]) ).
tff(c_107855,plain,
s = a1,
inference(demodulation,[status(thm),theory(equality)],[c_102984,c_107838]) ).
tff(c_107502,plain,
! [A_3602] :
( ( a1 = A_3602 )
| ~ incident(A_3602,b2b3)
| ~ incident(A_3602,a3a1) ),
inference(splitRight,[status(thm)],[c_104648]) ).
tff(c_107719,plain,
( ( s = a1 )
| ~ incident(s,a3a1) ),
inference(resolution,[status(thm)],[c_107695,c_107502]) ).
tff(c_107775,plain,
~ incident(s,a3a1),
inference(splitLeft,[status(thm)],[c_107719]) ).
tff(c_107868,plain,
~ incident(a1,a3a1),
inference(demodulation,[status(thm),theory(equality)],[c_107855,c_107775]) ).
tff(c_107879,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_24,c_107868]) ).
tff(c_107880,plain,
s = a1,
inference(splitRight,[status(thm)],[c_107719]) ).
tff(c_107718,plain,
( ( s = a1 )
| ~ incident(s,a1a2) ),
inference(resolution,[status(thm)],[c_107695,c_107608]) ).
tff(c_107774,plain,
~ incident(s,a1a2),
inference(splitLeft,[status(thm)],[c_107718]) ).
tff(c_107883,plain,
~ incident(a1,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_107880,c_107774]) ).
tff(c_107892,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_107883]) ).
tff(c_107893,plain,
s = a1,
inference(splitRight,[status(thm)],[c_107718]) ).
tff(c_107897,plain,
~ incident(a1,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_107893,c_104649]) ).
tff(c_107904,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_107545,c_107897]) ).
tff(c_107907,plain,
! [A_3711] :
( ( a1 = A_3711 )
| ~ incident(A_3711,b2b3)
| ~ incident(A_3711,s1) ),
inference(splitRight,[status(thm)],[c_104647]) ).
tff(c_107931,plain,
( ( s = a1 )
| ~ incident(s,b2b3) ),
inference(resolution,[status(thm)],[c_38,c_107907]) ).
tff(c_107962,plain,
~ incident(s,b2b3),
inference(splitLeft,[status(thm)],[c_107931]) ).
tff(c_108647,plain,
~ incident(a1,b2b3),
inference(demodulation,[status(thm),theory(equality)],[c_108610,c_107962]) ).
tff(c_108656,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_102984,c_108647]) ).
tff(c_108657,plain,
s = a1,
inference(splitRight,[status(thm)],[c_107931]) ).
tff(c_108660,plain,
~ incident(a1,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_108657,c_104649]) ).
tff(c_108667,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_107545,c_108660]) ).
tff(c_108668,plain,
s = b2,
inference(splitRight,[status(thm)],[c_104621]) ).
tff(c_108671,plain,
incident(b2,s1),
inference(demodulation,[status(thm),theory(equality)],[c_108668,c_38]) ).
tff(c_108785,plain,
b2b3 = a3a1,
inference(splitLeft,[status(thm)],[c_104648]) ).
tff(c_108792,plain,
incident(b3,a3a1),
inference(demodulation,[status(thm),theory(equality)],[c_108785,c_32]) ).
tff(c_108853,plain,
! [A_3602] :
( ( s1 = a3a1 )
| ( a1 = A_3602 )
| ~ incident(A_3602,a3a1)
| ~ incident(A_3602,s1) ),
inference(demodulation,[status(thm),theory(equality)],[c_108785,c_108785,c_104647]) ).
tff(c_108854,plain,
s1 = a3a1,
inference(splitLeft,[status(thm)],[c_108853]) ).
tff(c_108931,plain,
! [C_3745,A_3746] :
( ( a3a1 = C_3745 )
| ( b1 = A_3746 )
| ~ incident(b1,C_3745)
| ~ incident(A_3746,a3a1)
| ~ incident(A_3746,C_3745) ),
inference(demodulation,[status(thm),theory(equality)],[c_108854,c_108854,c_103446]) ).
tff(c_108943,plain,
! [A_3746] :
( ( b3b1 = a3a1 )
| ( b1 = A_3746 )
| ~ incident(A_3746,a3a1)
| ~ incident(A_3746,b3b1) ),
inference(resolution,[status(thm)],[c_36,c_108931]) ).
tff(c_108958,plain,
! [A_3747] :
( ( b1 = A_3747 )
| ~ incident(A_3747,a3a1)
| ~ incident(A_3747,b3b1) ),
inference(negUnitSimplification,[status(thm)],[c_114,c_108943]) ).
tff(c_108978,plain,
( ( b3 = b1 )
| ~ incident(b3,a3a1) ),
inference(resolution,[status(thm)],[c_34,c_108958]) ).
tff(c_108995,plain,
b3 = b1,
inference(demodulation,[status(thm),theory(equality)],[c_108792,c_108978]) ).
tff(c_108997,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_117,c_108995]) ).
tff(c_109000,plain,
! [A_3748] :
( ( a1 = A_3748 )
| ~ incident(A_3748,a3a1)
| ~ incident(A_3748,s1) ),
inference(splitRight,[status(thm)],[c_108853]) ).
tff(c_109003,plain,
( ( b2 = a1 )
| ~ incident(b2,a3a1) ),
inference(resolution,[status(thm)],[c_108671,c_109000]) ).
tff(c_109020,plain,
b2 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_103258,c_109003]) ).
tff(c_108680,plain,
b2b3 = a1a2,
inference(splitLeft,[status(thm)],[c_104644]) ).
tff(c_108684,plain,
incident(p1,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_108680,c_62]) ).
tff(c_108691,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_103112,c_108684]) ).
tff(c_108751,plain,
! [A_3741] :
( ( a1 = A_3741 )
| ~ incident(A_3741,b2b3)
| ~ incident(A_3741,a1a2) ),
inference(splitRight,[status(thm)],[c_104644]) ).
tff(c_108784,plain,
( ( b2 = a1 )
| ~ incident(b2,a1a2) ),
inference(resolution,[status(thm)],[c_30,c_108751]) ).
tff(c_108851,plain,
~ incident(b2,a1a2),
inference(splitLeft,[status(thm)],[c_108784]) ).
tff(c_109032,plain,
~ incident(a1,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_109020,c_108851]) ).
tff(c_109046,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_109032]) ).
tff(c_109047,plain,
b2 = a1,
inference(splitRight,[status(thm)],[c_108784]) ).
tff(c_103442,plain,
! [C_3558,A_3560] :
( ( b1b2 = C_3558 )
| ( b2 = A_3560 )
| ~ incident(b2,C_3558)
| ~ incident(A_3560,b1b2)
| ~ incident(A_3560,C_3558) ),
inference(resolution,[status(thm)],[c_28,c_103352]) ).
tff(c_109613,plain,
! [C_3766,A_3767] :
( ( b1b2 = C_3766 )
| ( a1 = A_3767 )
| ~ incident(a1,C_3766)
| ~ incident(A_3767,b1b2)
| ~ incident(A_3767,C_3766) ),
inference(demodulation,[status(thm),theory(equality)],[c_109047,c_109047,c_103442]) ).
tff(c_109627,plain,
! [A_3767] :
( ( b1b2 = a1a2 )
| ( a1 = A_3767 )
| ~ incident(A_3767,b1b2)
| ~ incident(A_3767,a1a2) ),
inference(resolution,[status(thm)],[c_14,c_109613]) ).
tff(c_109645,plain,
! [A_3768] :
( ( a1 = A_3768 )
| ~ incident(A_3768,b1b2)
| ~ incident(A_3768,a1a2) ),
inference(negUnitSimplification,[status(thm)],[c_116,c_109627]) ).
tff(c_109659,plain,
( ( p3 = a1 )
| ~ incident(p3,a1a2) ),
inference(resolution,[status(thm)],[c_58,c_109645]) ).
tff(c_109675,plain,
p3 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_56,c_109659]) ).
tff(c_108794,plain,
a3a1 != a2a3,
inference(demodulation,[status(thm),theory(equality)],[c_108785,c_115]) ).
tff(c_103444,plain,
! [C_3558,A_3560] :
( ( b2b3 = C_3558 )
| ( p1 = A_3560 )
| ~ incident(p1,C_3558)
| ~ incident(A_3560,b2b3)
| ~ incident(A_3560,C_3558) ),
inference(resolution,[status(thm)],[c_62,c_103352]) ).
tff(c_109486,plain,
! [C_3762,A_3763] :
( ( a3a1 = C_3762 )
| ( p1 = A_3763 )
| ~ incident(p1,C_3762)
| ~ incident(A_3763,a3a1)
| ~ incident(A_3763,C_3762) ),
inference(demodulation,[status(thm),theory(equality)],[c_108785,c_108785,c_103444]) ).
tff(c_109496,plain,
! [A_3763] :
( ( a3a1 = a2a3 )
| ( p1 = A_3763 )
| ~ incident(A_3763,a3a1)
| ~ incident(A_3763,a2a3) ),
inference(resolution,[status(thm)],[c_60,c_109486]) ).
tff(c_109545,plain,
! [A_3765] :
( ( p1 = A_3765 )
| ~ incident(A_3765,a3a1)
| ~ incident(A_3765,a2a3) ),
inference(negUnitSimplification,[status(thm)],[c_108794,c_109496]) ).
tff(c_109568,plain,
( ( p1 = a3 )
| ~ incident(a3,a2a3) ),
inference(resolution,[status(thm)],[c_22,c_109545]) ).
tff(c_109587,plain,
p1 = a3,
inference(demodulation,[status(thm),theory(equality)],[c_20,c_109568]) ).
tff(c_109599,plain,
! [A_1] :
( ~ incident(p2,A_1)
| ~ incident(a3,A_1)
| ~ incident(p3,A_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_109587,c_125]) ).
tff(c_109758,plain,
! [A_3772] :
( ~ incident(p2,A_3772)
| ~ incident(a3,A_3772)
| ~ incident(a1,A_3772) ),
inference(demodulation,[status(thm),theory(equality)],[c_109675,c_109599]) ).
tff(c_109769,plain,
( ~ incident(a3,a3a1)
| ~ incident(a1,a3a1) ),
inference(resolution,[status(thm)],[c_64,c_109758]) ).
tff(c_109782,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_24,c_22,c_109769]) ).
tff(c_109901,plain,
! [A_3777] :
( ( a1 = A_3777 )
| ~ incident(A_3777,b2b3)
| ~ incident(A_3777,a3a1) ),
inference(splitRight,[status(thm)],[c_104648]) ).
tff(c_109924,plain,
( ( b2 = a1 )
| ~ incident(b2,a3a1) ),
inference(resolution,[status(thm)],[c_30,c_109901]) ).
tff(c_109940,plain,
b2 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_103258,c_109924]) ).
tff(c_109815,plain,
~ incident(b2,a1a2),
inference(splitLeft,[status(thm)],[c_108784]) ).
tff(c_109941,plain,
~ incident(a1,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_109940,c_109815]) ).
tff(c_109955,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_109941]) ).
tff(c_109956,plain,
b2 = a1,
inference(splitRight,[status(thm)],[c_108784]) ).
tff(c_109967,plain,
b1 != a1,
inference(demodulation,[status(thm),theory(equality)],[c_109956,c_119]) ).
tff(c_109786,plain,
s1 = b2b3,
inference(splitLeft,[status(thm)],[c_104647]) ).
tff(c_109790,plain,
incident(b1,b2b3),
inference(demodulation,[status(thm),theory(equality)],[c_109786,c_50]) ).
tff(c_110103,plain,
! [C_3781,A_3782] :
( ( b1b2 = C_3781 )
| ( a1 = A_3782 )
| ~ incident(a1,C_3781)
| ~ incident(A_3782,b1b2)
| ~ incident(A_3782,C_3781) ),
inference(demodulation,[status(thm),theory(equality)],[c_109956,c_109956,c_103442]) ).
tff(c_110137,plain,
! [A_3782] :
( ( b2b3 = b1b2 )
| ( a1 = A_3782 )
| ~ incident(A_3782,b1b2)
| ~ incident(A_3782,b2b3) ),
inference(resolution,[status(thm)],[c_102984,c_110103]) ).
tff(c_110311,plain,
b2b3 = b1b2,
inference(splitLeft,[status(thm)],[c_110137]) ).
tff(c_110321,plain,
incident(p1,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_110311,c_62]) ).
tff(c_110328,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_103230,c_110321]) ).
tff(c_110331,plain,
! [A_3788] :
( ( a1 = A_3788 )
| ~ incident(A_3788,b1b2)
| ~ incident(A_3788,b2b3) ),
inference(splitRight,[status(thm)],[c_110137]) ).
tff(c_110334,plain,
( ( b1 = a1 )
| ~ incident(b1,b1b2) ),
inference(resolution,[status(thm)],[c_109790,c_110331]) ).
tff(c_110354,plain,
b1 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_26,c_110334]) ).
tff(c_110356,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_109967,c_110354]) ).
tff(c_110413,plain,
! [A_3792] :
( ( a1 = A_3792 )
| ~ incident(A_3792,b2b3)
| ~ incident(A_3792,s1) ),
inference(splitRight,[status(thm)],[c_104647]) ).
tff(c_110416,plain,
( ( b2 = a1 )
| ~ incident(b2,b2b3) ),
inference(resolution,[status(thm)],[c_108671,c_110413]) ).
tff(c_110433,plain,
b2 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_30,c_110416]) ).
tff(c_110381,plain,
~ incident(b2,a1a2),
inference(splitLeft,[status(thm)],[c_108784]) ).
tff(c_110445,plain,
~ incident(a1,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_110433,c_110381]) ).
tff(c_110460,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_110445]) ).
tff(c_110461,plain,
b2 = a1,
inference(splitRight,[status(thm)],[c_108784]) ).
tff(c_108673,plain,
incident(b2,s3),
inference(demodulation,[status(thm),theory(equality)],[c_108668,c_42]) ).
tff(c_110464,plain,
incident(a1,s3),
inference(demodulation,[status(thm),theory(equality)],[c_110461,c_108673]) ).
tff(c_110474,plain,
b3 != a1,
inference(demodulation,[status(thm),theory(equality)],[c_110461,c_118]) ).
tff(c_110708,plain,
! [A_3800] :
( ( a1 = A_3800 )
| ~ incident(A_3800,b2b3)
| ~ incident(A_3800,a3a1) ),
inference(splitRight,[status(thm)],[c_104648]) ).
tff(c_110725,plain,
( ( b3 = a1 )
| ~ incident(b3,a3a1) ),
inference(resolution,[status(thm)],[c_32,c_110708]) ).
tff(c_110739,plain,
~ incident(b3,a3a1),
inference(negUnitSimplification,[status(thm)],[c_110474,c_110725]) ).
tff(c_108727,plain,
! [C_3739,A_3740] :
( ( a3a1 = C_3739 )
| ( a3 = A_3740 )
| ~ incident(a3,C_3739)
| ~ incident(A_3740,a3a1)
| ~ incident(A_3740,C_3739) ),
inference(resolution,[status(thm)],[c_22,c_103352]) ).
tff(c_108747,plain,
! [A_3740] :
( ( s3 = a3a1 )
| ( a3 = A_3740 )
| ~ incident(A_3740,a3a1)
| ~ incident(A_3740,s3) ),
inference(resolution,[status(thm)],[c_48,c_108727]) ).
tff(c_111089,plain,
s3 = a3a1,
inference(splitLeft,[status(thm)],[c_108747]) ).
tff(c_111092,plain,
incident(b3,a3a1),
inference(demodulation,[status(thm),theory(equality)],[c_111089,c_54]) ).
tff(c_111097,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_110739,c_111092]) ).
tff(c_111202,plain,
! [A_3819] :
( ( a3 = A_3819 )
| ~ incident(A_3819,a3a1)
| ~ incident(A_3819,s3) ),
inference(splitRight,[status(thm)],[c_108747]) ).
tff(c_111205,plain,
( ( a3 = a1 )
| ~ incident(a1,a3a1) ),
inference(resolution,[status(thm)],[c_110464,c_111202]) ).
tff(c_111222,plain,
a3 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_24,c_111205]) ).
tff(c_111224,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_120,c_111222]) ).
tff(c_111226,plain,
incident(p1,b1b2),
inference(splitRight,[status(thm)],[c_102990]) ).
tff(c_111464,plain,
! [C_3838,A_3839] :
( ( s2 = C_3838 )
| ( b2 = A_3839 )
| ~ incident(b2,C_3838)
| ~ incident(A_3839,s2)
| ~ incident(A_3839,C_3838) ),
inference(resolution,[status(thm)],[c_52,c_111358]) ).
tff(c_111488,plain,
! [A_3839] :
( ( s2 = b1b2 )
| ( b2 = A_3839 )
| ~ incident(A_3839,s2)
| ~ incident(A_3839,b1b2) ),
inference(resolution,[status(thm)],[c_28,c_111464]) ).
tff(c_111490,plain,
s2 = b1b2,
inference(splitLeft,[status(thm)],[c_111488]) ).
tff(c_111495,plain,
incident(a2,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_111490,c_46]) ).
tff(c_111489,plain,
! [A_3839] :
( ( s2 = b2b3 )
| ( b2 = A_3839 )
| ~ incident(A_3839,s2)
| ~ incident(A_3839,b2b3) ),
inference(resolution,[status(thm)],[c_30,c_111464]) ).
tff(c_111554,plain,
! [A_3839] :
( ( b2b3 = b1b2 )
| ( b2 = A_3839 )
| ~ incident(A_3839,b1b2)
| ~ incident(A_3839,b2b3) ),
inference(demodulation,[status(thm),theory(equality)],[c_111490,c_111490,c_111489]) ).
tff(c_111555,plain,
b2b3 = b1b2,
inference(splitLeft,[status(thm)],[c_111554]) ).
tff(c_111502,plain,
! [C_3840,A_3841] :
( ( b2b3 = C_3840 )
| ( a1 = A_3841 )
| ~ incident(a1,C_3840)
| ~ incident(A_3841,b2b3)
| ~ incident(A_3841,C_3840) ),
inference(resolution,[status(thm)],[c_102984,c_111358]) ).
tff(c_111523,plain,
! [A_3841] :
( ( b2b3 = a1a2 )
| ( a1 = A_3841 )
| ~ incident(A_3841,b2b3)
| ~ incident(A_3841,a1a2) ),
inference(resolution,[status(thm)],[c_14,c_111502]) ).
tff(c_111621,plain,
! [A_3841] :
( ( b1b2 = a1a2 )
| ( a1 = A_3841 )
| ~ incident(A_3841,b1b2)
| ~ incident(A_3841,a1a2) ),
inference(demodulation,[status(thm),theory(equality)],[c_111555,c_111555,c_111523]) ).
tff(c_111623,plain,
! [A_3844] :
( ( a1 = A_3844 )
| ~ incident(A_3844,b1b2)
| ~ incident(A_3844,a1a2) ),
inference(negUnitSimplification,[status(thm)],[c_116,c_111621]) ).
tff(c_111632,plain,
( ( a2 = a1 )
| ~ incident(a2,a1a2) ),
inference(resolution,[status(thm)],[c_111495,c_111623]) ).
tff(c_111663,plain,
a2 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_111632]) ).
tff(c_111665,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_122,c_111663]) ).
tff(c_111668,plain,
! [A_3845] :
( ( b2 = A_3845 )
| ~ incident(A_3845,b1b2)
| ~ incident(A_3845,b2b3) ),
inference(splitRight,[status(thm)],[c_111554]) ).
tff(c_111682,plain,
( ( p1 = b2 )
| ~ incident(p1,b1b2) ),
inference(resolution,[status(thm)],[c_62,c_111668]) ).
tff(c_111698,plain,
p1 = b2,
inference(demodulation,[status(thm),theory(equality)],[c_111226,c_111682]) ).
tff(c_111714,plain,
incident(b2,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_111698,c_60]) ).
tff(c_111453,plain,
! [C_3835,A_3837] :
( ( b2b3 = C_3835 )
| ( p1 = A_3837 )
| ~ incident(p1,C_3835)
| ~ incident(A_3837,b2b3)
| ~ incident(A_3837,C_3835) ),
inference(resolution,[status(thm)],[c_62,c_111358]) ).
tff(c_111723,plain,
! [C_3835,A_3837] :
( ( b2b3 = C_3835 )
| ( b2 = A_3837 )
| ~ incident(b2,C_3835)
| ~ incident(A_3837,b2b3)
| ~ incident(A_3837,C_3835) ),
inference(demodulation,[status(thm),theory(equality)],[c_111698,c_111698,c_111453]) ).
tff(c_111749,plain,
! [A_3837] :
( ( b2b3 = a2a3 )
| ( b2 = A_3837 )
| ~ incident(A_3837,b2b3)
| ~ incident(A_3837,a2a3) ),
inference(resolution,[status(thm)],[c_111714,c_111723]) ).
tff(c_111767,plain,
! [A_3848] :
( ( b2 = A_3848 )
| ~ incident(A_3848,b2b3)
| ~ incident(A_3848,a2a3) ),
inference(negUnitSimplification,[status(thm)],[c_115,c_111749]) ).
tff(c_111791,plain,
( ( b2 = a1 )
| ~ incident(a1,a2a3) ),
inference(resolution,[status(thm)],[c_102984,c_111767]) ).
tff(c_111799,plain,
~ incident(a1,a2a3),
inference(splitLeft,[status(thm)],[c_111791]) ).
tff(c_111527,plain,
! [A_3841] :
( ( b2b3 = a3a1 )
| ( a1 = A_3841 )
| ~ incident(A_3841,b2b3)
| ~ incident(A_3841,a3a1) ),
inference(resolution,[status(thm)],[c_24,c_111502]) ).
tff(c_112443,plain,
b2b3 = a3a1,
inference(splitLeft,[status(thm)],[c_111527]) ).
tff(c_111760,plain,
! [A_3837] :
( ( b2 = A_3837 )
| ~ incident(A_3837,b2b3)
| ~ incident(A_3837,a2a3) ),
inference(negUnitSimplification,[status(thm)],[c_115,c_111749]) ).
tff(c_112557,plain,
! [A_3874] :
( ( b2 = A_3874 )
| ~ incident(A_3874,a3a1)
| ~ incident(A_3874,a2a3) ),
inference(demodulation,[status(thm),theory(equality)],[c_112443,c_111760]) ).
tff(c_112574,plain,
( ( b2 = a3 )
| ~ incident(a3,a2a3) ),
inference(resolution,[status(thm)],[c_22,c_112557]) ).
tff(c_112592,plain,
b2 = a3,
inference(demodulation,[status(thm),theory(equality)],[c_20,c_112574]) ).
tff(c_112605,plain,
incident(a3,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_112592,c_28]) ).
tff(c_112612,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_103108,c_112605]) ).
tff(c_112615,plain,
! [A_3875] :
( ( a1 = A_3875 )
| ~ incident(A_3875,b2b3)
| ~ incident(A_3875,a3a1) ),
inference(splitRight,[status(thm)],[c_111527]) ).
tff(c_112632,plain,
( ( b2 = a1 )
| ~ incident(b2,a3a1) ),
inference(resolution,[status(thm)],[c_30,c_112615]) ).
tff(c_112648,plain,
b2 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_111262,c_112632]) ).
tff(c_112654,plain,
incident(a1,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_112648,c_111714]) ).
tff(c_112666,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_111799,c_112654]) ).
tff(c_112667,plain,
b2 = a1,
inference(splitRight,[status(thm)],[c_111791]) ).
tff(c_111711,plain,
~ incident(b2,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_111698,c_103112]) ).
tff(c_112674,plain,
~ incident(a1,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_112667,c_111711]) ).
tff(c_112685,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_112674]) ).
tff(c_112750,plain,
! [A_3879] :
( ( b2 = A_3879 )
| ~ incident(A_3879,s2)
| ~ incident(A_3879,b1b2) ),
inference(splitRight,[status(thm)],[c_111488]) ).
tff(c_112779,plain,
( ( b2 = a2 )
| ~ incident(a2,b1b2) ),
inference(resolution,[status(thm)],[c_46,c_112750]) ).
tff(c_112803,plain,
~ incident(a2,b1b2),
inference(splitLeft,[status(thm)],[c_112779]) ).
tff(c_112863,plain,
s2 = b2b3,
inference(splitLeft,[status(thm)],[c_111489]) ).
tff(c_112870,plain,
incident(a2,b2b3),
inference(demodulation,[status(thm),theory(equality)],[c_112863,c_46]) ).
tff(c_112688,plain,
! [C_3876,A_3877] :
( ( a2a3 = C_3876 )
| ( p1 = A_3877 )
| ~ incident(p1,C_3876)
| ~ incident(A_3877,a2a3)
| ~ incident(A_3877,C_3876) ),
inference(resolution,[status(thm)],[c_60,c_111358]) ).
tff(c_112700,plain,
! [A_3877] :
( ( b2b3 = a2a3 )
| ( p1 = A_3877 )
| ~ incident(A_3877,a2a3)
| ~ incident(A_3877,b2b3) ),
inference(resolution,[status(thm)],[c_62,c_112688]) ).
tff(c_112712,plain,
! [A_3877] :
( ( p1 = A_3877 )
| ~ incident(A_3877,a2a3)
| ~ incident(A_3877,b2b3) ),
inference(negUnitSimplification,[status(thm)],[c_115,c_112700]) ).
tff(c_112922,plain,
( ( p1 = a2 )
| ~ incident(a2,a2a3) ),
inference(resolution,[status(thm)],[c_112870,c_112712]) ).
tff(c_112933,plain,
p1 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_18,c_112922]) ).
tff(c_112945,plain,
incident(a2,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_112933,c_111226]) ).
tff(c_112952,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_112803,c_112945]) ).
tff(c_112955,plain,
! [A_3887] :
( ( b2 = A_3887 )
| ~ incident(A_3887,s2)
| ~ incident(A_3887,b2b3) ),
inference(splitRight,[status(thm)],[c_111489]) ).
tff(c_112983,plain,
( ( s = b2 )
| ~ incident(s,b2b3) ),
inference(resolution,[status(thm)],[c_40,c_112955]) ).
tff(c_113008,plain,
~ incident(s,b2b3),
inference(splitLeft,[status(thm)],[c_112983]) ).
tff(c_112840,plain,
! [C_3883,A_3884] :
( ( b2b3 = C_3883 )
| ( b3 = A_3884 )
| ~ incident(b3,C_3883)
| ~ incident(A_3884,b2b3)
| ~ incident(A_3884,C_3883) ),
inference(resolution,[status(thm)],[c_32,c_111358]) ).
tff(c_112859,plain,
! [A_3884] :
( ( s3 = b2b3 )
| ( b3 = A_3884 )
| ~ incident(A_3884,b2b3)
| ~ incident(A_3884,s3) ),
inference(resolution,[status(thm)],[c_54,c_112840]) ).
tff(c_113036,plain,
s3 = b2b3,
inference(splitLeft,[status(thm)],[c_112859]) ).
tff(c_113041,plain,
incident(s,b2b3),
inference(demodulation,[status(thm),theory(equality)],[c_113036,c_42]) ).
tff(c_113045,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_113008,c_113041]) ).
tff(c_113048,plain,
! [A_3892] :
( ( b3 = A_3892 )
| ~ incident(A_3892,b2b3)
| ~ incident(A_3892,s3) ),
inference(splitRight,[status(thm)],[c_112859]) ).
tff(c_113076,plain,
( ( b3 = a3 )
| ~ incident(a3,b2b3) ),
inference(resolution,[status(thm)],[c_48,c_113048]) ).
tff(c_113104,plain,
~ incident(a3,b2b3),
inference(splitLeft,[status(thm)],[c_113076]) ).
tff(c_113107,plain,
~ incident(a3,a3a1),
inference(demodulation,[status(thm),theory(equality)],[c_113105,c_113104]) ).
tff(c_113125,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_22,c_113107]) ).
tff(c_113128,plain,
! [A_3895] :
( ( a1 = A_3895 )
| ~ incident(A_3895,b2b3)
| ~ incident(A_3895,a3a1) ),
inference(splitRight,[status(thm)],[c_113035]) ).
tff(c_113148,plain,
( ( b2 = a1 )
| ~ incident(b2,a3a1) ),
inference(resolution,[status(thm)],[c_30,c_113128]) ).
tff(c_113163,plain,
b2 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_111262,c_113148]) ).
tff(c_112780,plain,
! [C_3880,A_3881] :
( ( b1b2 = C_3880 )
| ( p3 = A_3881 )
| ~ incident(p3,C_3880)
| ~ incident(A_3881,b1b2)
| ~ incident(A_3881,C_3880) ),
inference(resolution,[status(thm)],[c_58,c_111358]) ).
tff(c_112788,plain,
! [A_3881] :
( ( b1b2 = a1a2 )
| ( p3 = A_3881 )
| ~ incident(A_3881,b1b2)
| ~ incident(A_3881,a1a2) ),
inference(resolution,[status(thm)],[c_56,c_112780]) ).
tff(c_112804,plain,
! [A_3882] :
( ( p3 = A_3882 )
| ~ incident(A_3882,b1b2)
| ~ incident(A_3882,a1a2) ),
inference(negUnitSimplification,[status(thm)],[c_116,c_112788]) ).
tff(c_112837,plain,
( ( p3 = b2 )
| ~ incident(b2,a1a2) ),
inference(resolution,[status(thm)],[c_28,c_112804]) ).
tff(c_112839,plain,
~ incident(b2,a1a2),
inference(splitLeft,[status(thm)],[c_112837]) ).
tff(c_113165,plain,
~ incident(a1,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_113163,c_112839]) ).
tff(c_113178,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_113165]) ).
tff(c_113179,plain,
b3 = a3,
inference(splitRight,[status(thm)],[c_113076]) ).
tff(c_112713,plain,
! [A_3878] :
( ( p1 = A_3878 )
| ~ incident(A_3878,a2a3)
| ~ incident(A_3878,b2b3) ),
inference(negUnitSimplification,[status(thm)],[c_115,c_112700]) ).
tff(c_112745,plain,
( ( p1 = b3 )
| ~ incident(b3,a2a3) ),
inference(resolution,[status(thm)],[c_32,c_112713]) ).
tff(c_112748,plain,
~ incident(b3,a2a3),
inference(splitLeft,[status(thm)],[c_112745]) ).
tff(c_113184,plain,
~ incident(a3,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_113179,c_112748]) ).
tff(c_113193,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_20,c_113184]) ).
tff(c_113194,plain,
s = b2,
inference(splitRight,[status(thm)],[c_112983]) ).
tff(c_112778,plain,
( ( s = b2 )
| ~ incident(s,b1b2) ),
inference(resolution,[status(thm)],[c_40,c_112750]) ).
tff(c_112802,plain,
~ incident(s,b1b2),
inference(splitLeft,[status(thm)],[c_112778]) ).
tff(c_113219,plain,
~ incident(b2,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_113194,c_112802]) ).
tff(c_113226,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_28,c_113219]) ).
tff(c_113227,plain,
p3 = b2,
inference(splitRight,[status(thm)],[c_112837]) ).
tff(c_113261,plain,
! [A_3898] :
( ~ incident(p2,A_3898)
| ~ incident(p1,A_3898)
| ~ incident(b2,A_3898) ),
inference(demodulation,[status(thm),theory(equality)],[c_113227,c_125]) ).
tff(c_113272,plain,
( ~ incident(p1,a3a1)
| ~ incident(b2,a3a1) ),
inference(resolution,[status(thm)],[c_64,c_113261]) ).
tff(c_113284,plain,
~ incident(p1,a3a1),
inference(demodulation,[status(thm),theory(equality)],[c_111262,c_113272]) ).
tff(c_113288,plain,
! [C_3899,A_3900] :
( ( a3a1 = C_3899 )
| ( a1 = A_3900 )
| ~ incident(a1,C_3899)
| ~ incident(A_3900,a3a1)
| ~ incident(A_3900,C_3899) ),
inference(resolution,[status(thm)],[c_24,c_111358]) ).
tff(c_113310,plain,
! [A_3900] :
( ( b2b3 = a3a1 )
| ( a1 = A_3900 )
| ~ incident(A_3900,a3a1)
| ~ incident(A_3900,b2b3) ),
inference(resolution,[status(thm)],[c_102984,c_113288]) ).
tff(c_113461,plain,
b2b3 = a3a1,
inference(splitLeft,[status(thm)],[c_113310]) ).
tff(c_113465,plain,
incident(p1,a3a1),
inference(demodulation,[status(thm),theory(equality)],[c_113461,c_62]) ).
tff(c_113472,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_113284,c_113465]) ).
tff(c_113558,plain,
! [A_3909] :
( ( a1 = A_3909 )
| ~ incident(A_3909,a3a1)
| ~ incident(A_3909,b2b3) ),
inference(splitRight,[status(thm)],[c_113310]) ).
tff(c_113578,plain,
( ( b2 = a1 )
| ~ incident(b2,a3a1) ),
inference(resolution,[status(thm)],[c_30,c_113558]) ).
tff(c_113593,plain,
b2 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_111262,c_113578]) ).
tff(c_113608,plain,
incident(a1,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_113593,c_28]) ).
tff(c_114470,plain,
! [C_3939,A_3940] :
( ( b2b3 = C_3939 )
| ( p1 = A_3940 )
| ~ incident(p1,C_3939)
| ~ incident(A_3940,b2b3)
| ~ incident(A_3940,C_3939) ),
inference(resolution,[status(thm)],[c_62,c_111358]) ).
tff(c_114489,plain,
! [A_3940] :
( ( b2b3 = b1b2 )
| ( p1 = A_3940 )
| ~ incident(A_3940,b2b3)
| ~ incident(A_3940,b1b2) ),
inference(resolution,[status(thm)],[c_111226,c_114470]) ).
tff(c_114866,plain,
b2b3 = b1b2,
inference(splitLeft,[status(thm)],[c_114489]) ).
tff(c_113610,plain,
b1 != a1,
inference(demodulation,[status(thm),theory(equality)],[c_113593,c_119]) ).
tff(c_113530,plain,
! [C_3907,A_3908] :
( ( b2b3 = C_3907 )
| ( a1 = A_3908 )
| ~ incident(a1,C_3907)
| ~ incident(A_3908,b2b3)
| ~ incident(A_3908,C_3907) ),
inference(resolution,[status(thm)],[c_102984,c_111358]) ).
tff(c_113554,plain,
! [A_3908] :
( ( s1 = b2b3 )
| ( a1 = A_3908 )
| ~ incident(A_3908,b2b3)
| ~ incident(A_3908,s1) ),
inference(resolution,[status(thm)],[c_44,c_113530]) ).
tff(c_114229,plain,
s1 = b2b3,
inference(splitLeft,[status(thm)],[c_113554]) ).
tff(c_113611,plain,
b3 != a1,
inference(demodulation,[status(thm),theory(equality)],[c_113593,c_118]) ).
tff(c_113731,plain,
! [C_3913,A_3914] :
( ( s1 = C_3913 )
| ( s = A_3914 )
| ~ incident(s,C_3913)
| ~ incident(A_3914,s1)
| ~ incident(A_3914,C_3913) ),
inference(resolution,[status(thm)],[c_38,c_111358]) ).
tff(c_113753,plain,
! [A_3914] :
( ( s3 = s1 )
| ( s = A_3914 )
| ~ incident(A_3914,s1)
| ~ incident(A_3914,s3) ),
inference(resolution,[status(thm)],[c_42,c_113731]) ).
tff(c_113841,plain,
s3 = s1,
inference(splitLeft,[status(thm)],[c_113753]) ).
tff(c_113843,plain,
incident(b3,s1),
inference(demodulation,[status(thm),theory(equality)],[c_113841,c_54]) ).
tff(c_113345,plain,
s2 = b2b3,
inference(splitLeft,[status(thm)],[c_111489]) ).
tff(c_113380,plain,
incident(a2,b2b3),
inference(demodulation,[status(thm),theory(equality)],[c_113345,c_46]) ).
tff(c_113429,plain,
( ( p1 = a2 )
| ~ incident(a2,a2a3) ),
inference(resolution,[status(thm)],[c_113380,c_112712]) ).
tff(c_113440,plain,
p1 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_18,c_113429]) ).
tff(c_113452,plain,
incident(a2,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_113440,c_111226]) ).
tff(c_113458,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_112803,c_113452]) ).
tff(c_113475,plain,
! [A_3904] :
( ( b2 = A_3904 )
| ~ incident(A_3904,s2)
| ~ incident(A_3904,b2b3) ),
inference(splitRight,[status(thm)],[c_111489]) ).
tff(c_113503,plain,
( ( s = b2 )
| ~ incident(s,b2b3) ),
inference(resolution,[status(thm)],[c_40,c_113475]) ).
tff(c_113505,plain,
~ incident(s,b2b3),
inference(splitLeft,[status(thm)],[c_113503]) ).
tff(c_114033,plain,
s1 = b2b3,
inference(splitLeft,[status(thm)],[c_113554]) ).
tff(c_114042,plain,
incident(s,b2b3),
inference(demodulation,[status(thm),theory(equality)],[c_114033,c_38]) ).
tff(c_114048,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_113505,c_114042]) ).
tff(c_114052,plain,
! [A_3924] :
( ( a1 = A_3924 )
| ~ incident(A_3924,b2b3)
| ~ incident(A_3924,s1) ),
inference(splitRight,[status(thm)],[c_113554]) ).
tff(c_114058,plain,
( ( b3 = a1 )
| ~ incident(b3,b2b3) ),
inference(resolution,[status(thm)],[c_113843,c_114052]) ).
tff(c_114081,plain,
b3 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_32,c_114058]) ).
tff(c_114083,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_113611,c_114081]) ).
tff(c_114086,plain,
! [A_3925] :
( ( s = A_3925 )
| ~ incident(A_3925,s1)
| ~ incident(A_3925,s3) ),
inference(splitRight,[status(thm)],[c_113753]) ).
tff(c_114110,plain,
( ( s = b3 )
| ~ incident(b3,s1) ),
inference(resolution,[status(thm)],[c_54,c_114086]) ).
tff(c_114116,plain,
~ incident(b3,s1),
inference(splitLeft,[status(thm)],[c_114110]) ).
tff(c_114231,plain,
~ incident(b3,b2b3),
inference(demodulation,[status(thm),theory(equality)],[c_114229,c_114116]) ).
tff(c_114241,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_32,c_114231]) ).
tff(c_114298,plain,
! [A_3934] :
( ( a1 = A_3934 )
| ~ incident(A_3934,b2b3)
| ~ incident(A_3934,s1) ),
inference(splitRight,[status(thm)],[c_113554]) ).
tff(c_114315,plain,
( ( b1 = a1 )
| ~ incident(b1,b2b3) ),
inference(resolution,[status(thm)],[c_50,c_114298]) ).
tff(c_114329,plain,
~ incident(b1,b2b3),
inference(negUnitSimplification,[status(thm)],[c_113610,c_114315]) ).
tff(c_114872,plain,
~ incident(b1,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_114866,c_114329]) ).
tff(c_114890,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_26,c_114872]) ).
tff(c_114941,plain,
! [A_3954] :
( ( p1 = A_3954 )
| ~ incident(A_3954,b2b3)
| ~ incident(A_3954,b1b2) ),
inference(splitRight,[status(thm)],[c_114489]) ).
tff(c_114952,plain,
( ( p1 = a1 )
| ~ incident(a1,b1b2) ),
inference(resolution,[status(thm)],[c_102984,c_114941]) ).
tff(c_114967,plain,
p1 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_113608,c_114952]) ).
tff(c_114979,plain,
~ incident(a1,a3a1),
inference(demodulation,[status(thm),theory(equality)],[c_114967,c_113284]) ).
tff(c_114989,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_24,c_114979]) ).
tff(c_114990,plain,
s = b3,
inference(splitRight,[status(thm)],[c_114110]) ).
tff(c_114994,plain,
~ incident(b3,b2b3),
inference(demodulation,[status(thm),theory(equality)],[c_114990,c_113505]) ).
tff(c_115002,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_32,c_114994]) ).
tff(c_115003,plain,
s = b2,
inference(splitRight,[status(thm)],[c_113503]) ).
tff(c_115033,plain,
~ incident(b2,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_115003,c_112802]) ).
tff(c_115040,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_28,c_115033]) ).
tff(c_115041,plain,
b2 = a2,
inference(splitRight,[status(thm)],[c_112779]) ).
tff(c_112746,plain,
( ( p1 = b2 )
| ~ incident(b2,a2a3) ),
inference(resolution,[status(thm)],[c_30,c_112713]) ).
tff(c_112749,plain,
~ incident(b2,a2a3),
inference(splitLeft,[status(thm)],[c_112746]) ).
tff(c_115044,plain,
~ incident(a2,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_115041,c_112749]) ).
tff(c_115055,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_18,c_115044]) ).
tff(c_115056,plain,
s = b2,
inference(splitRight,[status(thm)],[c_112778]) ).
tff(c_115059,plain,
incident(b2,s1),
inference(demodulation,[status(thm),theory(equality)],[c_115056,c_38]) ).
tff(c_115751,plain,
! [C_3981,A_3982] :
( ( b3b1 = C_3981 )
| ( b3 = A_3982 )
| ~ incident(b3,C_3981)
| ~ incident(A_3982,b3b1)
| ~ incident(A_3982,C_3981) ),
inference(resolution,[status(thm)],[c_34,c_111358]) ).
tff(c_115771,plain,
! [A_3982] :
( ( b3b1 = b2b3 )
| ( b3 = A_3982 )
| ~ incident(A_3982,b3b1)
| ~ incident(A_3982,b2b3) ),
inference(resolution,[status(thm)],[c_32,c_115751]) ).
tff(c_115957,plain,
b3b1 = b2b3,
inference(splitLeft,[status(thm)],[c_115771]) ).
tff(c_115085,plain,
! [C_3957,A_3958] :
( ( s1 = C_3957 )
| ( b1 = A_3958 )
| ~ incident(b1,C_3957)
| ~ incident(A_3958,s1)
| ~ incident(A_3958,C_3957) ),
inference(resolution,[status(thm)],[c_50,c_111358]) ).
tff(c_115104,plain,
! [A_3958] :
( ( s1 = b1b2 )
| ( b1 = A_3958 )
| ~ incident(A_3958,s1)
| ~ incident(A_3958,b1b2) ),
inference(resolution,[status(thm)],[c_26,c_115085]) ).
tff(c_115308,plain,
s1 = b1b2,
inference(splitLeft,[status(thm)],[c_115104]) ).
tff(c_115312,plain,
incident(a1,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_115308,c_44]) ).
tff(c_112799,plain,
! [A_3881] :
( ( p3 = A_3881 )
| ~ incident(A_3881,b1b2)
| ~ incident(A_3881,a1a2) ),
inference(negUnitSimplification,[status(thm)],[c_116,c_112788]) ).
tff(c_115323,plain,
( ( p3 = a1 )
| ~ incident(a1,a1a2) ),
inference(resolution,[status(thm)],[c_115312,c_112799]) ).
tff(c_115334,plain,
p3 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_115323]) ).
tff(c_115417,plain,
! [A_3970] :
( ~ incident(p2,A_3970)
| ~ incident(p1,A_3970)
| ~ incident(a1,A_3970) ),
inference(demodulation,[status(thm),theory(equality)],[c_115334,c_125]) ).
tff(c_115428,plain,
( ~ incident(p1,a3a1)
| ~ incident(a1,a3a1) ),
inference(resolution,[status(thm)],[c_64,c_115417]) ).
tff(c_115440,plain,
~ incident(p1,a3a1),
inference(demodulation,[status(thm),theory(equality)],[c_24,c_115428]) ).
tff(c_115340,plain,
! [C_3967,A_3968] :
( ( b2b3 = C_3967 )
| ( a1 = A_3968 )
| ~ incident(a1,C_3967)
| ~ incident(A_3968,b2b3)
| ~ incident(A_3968,C_3967) ),
inference(resolution,[status(thm)],[c_102984,c_111358]) ).
tff(c_115365,plain,
! [A_3968] :
( ( b2b3 = a3a1 )
| ( a1 = A_3968 )
| ~ incident(A_3968,b2b3)
| ~ incident(A_3968,a3a1) ),
inference(resolution,[status(thm)],[c_24,c_115340]) ).
tff(c_115565,plain,
b2b3 = a3a1,
inference(splitLeft,[status(thm)],[c_115365]) ).
tff(c_115576,plain,
incident(p1,a3a1),
inference(demodulation,[status(thm),theory(equality)],[c_115565,c_62]) ).
tff(c_115583,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_115440,c_115576]) ).
tff(c_115586,plain,
! [A_3976] :
( ( a1 = A_3976 )
| ~ incident(A_3976,b2b3)
| ~ incident(A_3976,a3a1) ),
inference(splitRight,[status(thm)],[c_115365]) ).
tff(c_115606,plain,
( ( b2 = a1 )
| ~ incident(b2,a3a1) ),
inference(resolution,[status(thm)],[c_30,c_115586]) ).
tff(c_115621,plain,
b2 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_111262,c_115606]) ).
tff(c_115125,plain,
! [A_3959] :
( ( p3 = A_3959 )
| ~ incident(A_3959,b1b2)
| ~ incident(A_3959,a1a2) ),
inference(negUnitSimplification,[status(thm)],[c_116,c_112788]) ).
tff(c_115158,plain,
( ( p3 = b2 )
| ~ incident(b2,a1a2) ),
inference(resolution,[status(thm)],[c_28,c_115125]) ).
tff(c_115160,plain,
~ incident(b2,a1a2),
inference(splitLeft,[status(thm)],[c_115158]) ).
tff(c_115625,plain,
~ incident(a1,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_115621,c_115160]) ).
tff(c_115640,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_115625]) ).
tff(c_115667,plain,
! [A_3979] :
( ( b1 = A_3979 )
| ~ incident(A_3979,s1)
| ~ incident(A_3979,b1b2) ),
inference(splitRight,[status(thm)],[c_115104]) ).
tff(c_115670,plain,
( ( b2 = b1 )
| ~ incident(b2,b1b2) ),
inference(resolution,[status(thm)],[c_115059,c_115667]) ).
tff(c_115687,plain,
b2 = b1,
inference(demodulation,[status(thm),theory(equality)],[c_28,c_115670]) ).
tff(c_115689,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_119,c_115687]) ).
tff(c_115690,plain,
p3 = b2,
inference(splitRight,[status(thm)],[c_115158]) ).
tff(c_115724,plain,
! [A_3980] :
( ~ incident(p2,A_3980)
| ~ incident(p1,A_3980)
| ~ incident(b2,A_3980) ),
inference(demodulation,[status(thm),theory(equality)],[c_115690,c_125]) ).
tff(c_115748,plain,
( ~ incident(p1,b3b1)
| ~ incident(b2,b3b1) ),
inference(resolution,[status(thm)],[c_66,c_115724]) ).
tff(c_115750,plain,
~ incident(b2,b3b1),
inference(splitLeft,[status(thm)],[c_115748]) ).
tff(c_115958,plain,
~ incident(b2,b2b3),
inference(demodulation,[status(thm),theory(equality)],[c_115957,c_115750]) ).
tff(c_115968,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_30,c_115958]) ).
tff(c_115971,plain,
! [A_3991] :
( ( b3 = A_3991 )
| ~ incident(A_3991,b3b1)
| ~ incident(A_3991,b2b3) ),
inference(splitRight,[status(thm)],[c_115771]) ).
tff(c_115988,plain,
( ( b3 = b1 )
| ~ incident(b1,b2b3) ),
inference(resolution,[status(thm)],[c_36,c_115971]) ).
tff(c_116002,plain,
~ incident(b1,b2b3),
inference(negUnitSimplification,[status(thm)],[c_117,c_115988]) ).
tff(c_115931,plain,
! [C_3989,A_3990] :
( ( b2b3 = C_3989 )
| ( a1 = A_3990 )
| ~ incident(a1,C_3989)
| ~ incident(A_3990,b2b3)
| ~ incident(A_3990,C_3989) ),
inference(resolution,[status(thm)],[c_102984,c_111358]) ).
tff(c_115955,plain,
! [A_3990] :
( ( s1 = b2b3 )
| ( a1 = A_3990 )
| ~ incident(A_3990,b2b3)
| ~ incident(A_3990,s1) ),
inference(resolution,[status(thm)],[c_44,c_115931]) ).
tff(c_116284,plain,
s1 = b2b3,
inference(splitLeft,[status(thm)],[c_115955]) ).
tff(c_116289,plain,
incident(b1,b2b3),
inference(demodulation,[status(thm),theory(equality)],[c_116284,c_50]) ).
tff(c_116294,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_116002,c_116289]) ).
tff(c_116297,plain,
! [A_3999] :
( ( a1 = A_3999 )
| ~ incident(A_3999,b2b3)
| ~ incident(A_3999,s1) ),
inference(splitRight,[status(thm)],[c_115955]) ).
tff(c_116300,plain,
( ( b2 = a1 )
| ~ incident(b2,b2b3) ),
inference(resolution,[status(thm)],[c_115059,c_116297]) ).
tff(c_116317,plain,
b2 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_30,c_116300]) ).
tff(c_116348,plain,
b1 != a1,
inference(demodulation,[status(thm),theory(equality)],[c_116317,c_119]) ).
tff(c_116346,plain,
incident(a1,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_116317,c_28]) ).
tff(c_116031,plain,
s1 = b1b2,
inference(splitLeft,[status(thm)],[c_115104]) ).
tff(c_116069,plain,
incident(a1,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_116031,c_44]) ).
tff(c_115692,plain,
! [A_3881] :
( ( b2 = A_3881 )
| ~ incident(A_3881,b1b2)
| ~ incident(A_3881,a1a2) ),
inference(demodulation,[status(thm),theory(equality)],[c_115690,c_112799]) ).
tff(c_116083,plain,
( ( b2 = a1 )
| ~ incident(a1,a1a2) ),
inference(resolution,[status(thm)],[c_116069,c_115692]) ).
tff(c_116097,plain,
b2 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_116083]) ).
tff(c_116032,plain,
s1 = b2b3,
inference(splitLeft,[status(thm)],[c_115955]) ).
tff(c_116045,plain,
b2b3 = b1b2,
inference(demodulation,[status(thm),theory(equality)],[c_116031,c_116032]) ).
tff(c_116047,plain,
~ incident(b1,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_116045,c_116002]) ).
tff(c_116063,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_26,c_116047]) ).
tff(c_116065,plain,
s1 != b2b3,
inference(splitRight,[status(thm)],[c_115955]) ).
tff(c_116078,plain,
b2b3 != b1b2,
inference(demodulation,[status(thm),theory(equality)],[c_116031,c_116065]) ).
tff(c_116103,plain,
! [C_3994,A_3995] :
( ( b1b2 = C_3994 )
| ( b2 = A_3995 )
| ~ incident(b2,C_3994)
| ~ incident(A_3995,b1b2)
| ~ incident(A_3995,C_3994) ),
inference(resolution,[status(thm)],[c_28,c_111358]) ).
tff(c_116121,plain,
! [A_3995] :
( ( b2b3 = b1b2 )
| ( b2 = A_3995 )
| ~ incident(A_3995,b1b2)
| ~ incident(A_3995,b2b3) ),
inference(resolution,[status(thm)],[c_30,c_116103]) ).
tff(c_116138,plain,
! [A_3995] :
( ( b2 = A_3995 )
| ~ incident(A_3995,b1b2)
| ~ incident(A_3995,b2b3) ),
inference(negUnitSimplification,[status(thm)],[c_116078,c_116121]) ).
tff(c_116235,plain,
! [A_3998] :
( ( a1 = A_3998 )
| ~ incident(A_3998,b1b2)
| ~ incident(A_3998,b2b3) ),
inference(demodulation,[status(thm),theory(equality)],[c_116097,c_116138]) ).
tff(c_116249,plain,
( ( p1 = a1 )
| ~ incident(p1,b1b2) ),
inference(resolution,[status(thm)],[c_62,c_116235]) ).
tff(c_116265,plain,
p1 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_111226,c_116249]) ).
tff(c_115735,plain,
( ~ incident(p1,a3a1)
| ~ incident(b2,a3a1) ),
inference(resolution,[status(thm)],[c_64,c_115724]) ).
tff(c_115747,plain,
~ incident(p1,a3a1),
inference(demodulation,[status(thm),theory(equality)],[c_111262,c_115735]) ).
tff(c_116271,plain,
~ incident(a1,a3a1),
inference(demodulation,[status(thm),theory(equality)],[c_116265,c_115747]) ).
tff(c_116281,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_24,c_116271]) ).
tff(c_116513,plain,
! [A_4005] :
( ( b1 = A_4005 )
| ~ incident(A_4005,s1)
| ~ incident(A_4005,b1b2) ),
inference(splitRight,[status(thm)],[c_115104]) ).
tff(c_116524,plain,
( ( b1 = a1 )
| ~ incident(a1,b1b2) ),
inference(resolution,[status(thm)],[c_44,c_116513]) ).
tff(c_116536,plain,
b1 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_116346,c_116524]) ).
tff(c_116538,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_116348,c_116536]) ).
tff(c_116540,plain,
incident(b2,b3b1),
inference(splitRight,[status(thm)],[c_115748]) ).
tff(c_115107,plain,
! [A_3958] :
( ( s1 = b3b1 )
| ( b1 = A_3958 )
| ~ incident(A_3958,s1)
| ~ incident(A_3958,b3b1) ),
inference(resolution,[status(thm)],[c_36,c_115085]) ).
tff(c_116588,plain,
s1 = b3b1,
inference(splitLeft,[status(thm)],[c_115107]) ).
tff(c_116592,plain,
incident(a1,b3b1),
inference(demodulation,[status(thm),theory(equality)],[c_116588,c_44]) ).
tff(c_116745,plain,
! [C_4012,A_4013] :
( ( a3a1 = C_4012 )
| ( a1 = A_4013 )
| ~ incident(a1,C_4012)
| ~ incident(A_4013,a3a1)
| ~ incident(A_4013,C_4012) ),
inference(resolution,[status(thm)],[c_24,c_111358]) ).
tff(c_116747,plain,
! [A_4013] :
( ( b3b1 = a3a1 )
| ( a1 = A_4013 )
| ~ incident(A_4013,a3a1)
| ~ incident(A_4013,b3b1) ),
inference(resolution,[status(thm)],[c_116592,c_116745]) ).
tff(c_116773,plain,
! [A_4014] :
( ( a1 = A_4014 )
| ~ incident(A_4014,a3a1)
| ~ incident(A_4014,b3b1) ),
inference(negUnitSimplification,[status(thm)],[c_114,c_116747]) ).
tff(c_116793,plain,
( ( p2 = a1 )
| ~ incident(p2,a3a1) ),
inference(resolution,[status(thm)],[c_66,c_116773]) ).
tff(c_116818,plain,
p2 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_64,c_116793]) ).
tff(c_111225,plain,
~ incident(p2,b1b2),
inference(splitRight,[status(thm)],[c_102990]) ).
tff(c_116824,plain,
~ incident(a1,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_116818,c_111225]) ).
tff(c_116779,plain,
( ( b2 = a1 )
| ~ incident(b2,a3a1) ),
inference(resolution,[status(thm)],[c_116540,c_116773]) ).
tff(c_116806,plain,
b2 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_111262,c_116779]) ).
tff(c_116848,plain,
incident(a1,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_116806,c_28]) ).
tff(c_116908,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_116824,c_116848]) ).
tff(c_116937,plain,
! [A_4019] :
( ( b1 = A_4019 )
| ~ incident(A_4019,s1)
| ~ incident(A_4019,b3b1) ),
inference(splitRight,[status(thm)],[c_115107]) ).
tff(c_116940,plain,
( ( b2 = b1 )
| ~ incident(b2,b3b1) ),
inference(resolution,[status(thm)],[c_115059,c_116937]) ).
tff(c_116957,plain,
b2 = b1,
inference(demodulation,[status(thm),theory(equality)],[c_116540,c_116940]) ).
tff(c_116959,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_119,c_116957]) ).
tff(c_116960,plain,
p1 = b2,
inference(splitRight,[status(thm)],[c_112746]) ).
tff(c_116962,plain,
! [A_3877] :
( ( b2 = A_3877 )
| ~ incident(A_3877,a2a3)
| ~ incident(A_3877,b2b3) ),
inference(demodulation,[status(thm),theory(equality)],[c_116960,c_112712]) ).
tff(c_117213,plain,
( ( b2 = a2 )
| ~ incident(a2,a2a3) ),
inference(resolution,[status(thm)],[c_117163,c_116962]) ).
tff(c_117224,plain,
b2 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_18,c_117213]) ).
tff(c_116969,plain,
~ incident(b2,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_116960,c_103112]) ).
tff(c_117235,plain,
~ incident(a2,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_117224,c_116969]) ).
tff(c_117248,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_117235]) ).
tff(c_117277,plain,
! [A_4030] :
( ( b3 = A_4030 )
| ~ incident(A_4030,b2b3)
| ~ incident(A_4030,b3b1) ),
inference(splitRight,[status(thm)],[c_117104]) ).
tff(c_117305,plain,
( ( p2 = b3 )
| ~ incident(p2,b2b3) ),
inference(resolution,[status(thm)],[c_66,c_117277]) ).
tff(c_117314,plain,
~ incident(p2,b2b3),
inference(splitLeft,[status(thm)],[c_117305]) ).
tff(c_117337,plain,
~ incident(p2,a3a1),
inference(demodulation,[status(thm),theory(equality)],[c_117336,c_117314]) ).
tff(c_117352,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_64,c_117337]) ).
tff(c_117366,plain,
! [A_4033] :
( ( a1 = A_4033 )
| ~ incident(A_4033,b2b3)
| ~ incident(A_4033,a3a1) ),
inference(splitRight,[status(thm)],[c_117276]) ).
tff(c_117383,plain,
( ( b2 = a1 )
| ~ incident(b2,a3a1) ),
inference(resolution,[status(thm)],[c_30,c_117366]) ).
tff(c_117397,plain,
b2 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_111262,c_117383]) ).
tff(c_117431,plain,
~ incident(a1,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_117397,c_116969]) ).
tff(c_117444,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_117431]) ).
tff(c_117445,plain,
p2 = b3,
inference(splitRight,[status(thm)],[c_117305]) ).
tff(c_117452,plain,
incident(b3,a3a1),
inference(demodulation,[status(thm),theory(equality)],[c_117445,c_64]) ).
tff(c_117564,plain,
b2b3 = a3a1,
inference(splitLeft,[status(thm)],[c_117276]) ).
tff(c_117585,plain,
! [A_4040] :
( ( b2 = A_4040 )
| ~ incident(A_4040,a2a3)
| ~ incident(A_4040,a3a1) ),
inference(demodulation,[status(thm),theory(equality)],[c_117564,c_116962]) ).
tff(c_117602,plain,
( ( b2 = a3 )
| ~ incident(a3,a2a3) ),
inference(resolution,[status(thm)],[c_22,c_117585]) ).
tff(c_117620,plain,
b2 = a3,
inference(demodulation,[status(thm),theory(equality)],[c_20,c_117602]) ).
tff(c_117634,plain,
incident(a3,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_117620,c_28]) ).
tff(c_117641,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_103108,c_117634]) ).
tff(c_117672,plain,
! [A_4043] :
( ( a1 = A_4043 )
| ~ incident(A_4043,b2b3)
| ~ incident(A_4043,a3a1) ),
inference(splitRight,[status(thm)],[c_117276]) ).
tff(c_117686,plain,
( ( b3 = a1 )
| ~ incident(b3,a3a1) ),
inference(resolution,[status(thm)],[c_32,c_117672]) ).
tff(c_117702,plain,
b3 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_117452,c_117686]) ).
tff(c_117722,plain,
b2 != a1,
inference(demodulation,[status(thm),theory(equality)],[c_117702,c_118]) ).
tff(c_117689,plain,
( ( b2 = a1 )
| ~ incident(b2,a3a1) ),
inference(resolution,[status(thm)],[c_30,c_117672]) ).
tff(c_117705,plain,
b2 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_111262,c_117689]) ).
tff(c_117731,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_117722,c_117705]) ).
tff(c_117732,plain,
p1 = b3,
inference(splitRight,[status(thm)],[c_112745]) ).
tff(c_117734,plain,
! [A_3877] :
( ( b3 = A_3877 )
| ~ incident(A_3877,a2a3)
| ~ incident(A_3877,b2b3) ),
inference(demodulation,[status(thm),theory(equality)],[c_117732,c_112712]) ).
tff(c_118321,plain,
! [A_4066] :
( ( b3 = A_4066 )
| ~ incident(A_4066,a2a3)
| ~ incident(A_4066,a3a1) ),
inference(demodulation,[status(thm),theory(equality)],[c_118225,c_117734]) ).
tff(c_118341,plain,
( ( b3 = a3 )
| ~ incident(a3,a2a3) ),
inference(resolution,[status(thm)],[c_22,c_118321]) ).
tff(c_118360,plain,
b3 = a3,
inference(demodulation,[status(thm),theory(equality)],[c_20,c_118341]) ).
tff(c_117740,plain,
incident(b3,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_117732,c_111226]) ).
tff(c_118369,plain,
incident(a3,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_118360,c_117740]) ).
tff(c_118379,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_103108,c_118369]) ).
tff(c_118383,plain,
! [A_4067] :
( ( a1 = A_4067 )
| ~ incident(A_4067,b2b3)
| ~ incident(A_4067,a3a1) ),
inference(splitRight,[status(thm)],[c_118016]) ).
tff(c_118400,plain,
( ( b2 = a1 )
| ~ incident(b2,a3a1) ),
inference(resolution,[status(thm)],[c_30,c_118383]) ).
tff(c_118414,plain,
b2 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_111262,c_118400]) ).
tff(c_117765,plain,
! [C_4044,A_4045] :
( ( b1b2 = C_4044 )
| ( p3 = A_4045 )
| ~ incident(p3,C_4044)
| ~ incident(A_4045,b1b2)
| ~ incident(A_4045,C_4044) ),
inference(resolution,[status(thm)],[c_58,c_111358]) ).
tff(c_117773,plain,
! [A_4045] :
( ( b1b2 = a1a2 )
| ( p3 = A_4045 )
| ~ incident(A_4045,b1b2)
| ~ incident(A_4045,a1a2) ),
inference(resolution,[status(thm)],[c_56,c_117765]) ).
tff(c_117801,plain,
! [A_4046] :
( ( p3 = A_4046 )
| ~ incident(A_4046,b1b2)
| ~ incident(A_4046,a1a2) ),
inference(negUnitSimplification,[status(thm)],[c_116,c_117773]) ).
tff(c_117834,plain,
( ( p3 = b2 )
| ~ incident(b2,a1a2) ),
inference(resolution,[status(thm)],[c_28,c_117801]) ).
tff(c_117838,plain,
~ incident(b2,a1a2),
inference(splitLeft,[status(thm)],[c_117834]) ).
tff(c_118444,plain,
~ incident(a1,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_118414,c_117838]) ).
tff(c_118456,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_118444]) ).
tff(c_118458,plain,
incident(b2,a1a2),
inference(splitRight,[status(thm)],[c_117834]) ).
tff(c_119524,plain,
! [C_4105,A_4106] :
( ( a1a2 = C_4105 )
| ( a1 = A_4106 )
| ~ incident(a1,C_4105)
| ~ incident(A_4106,a1a2)
| ~ incident(A_4106,C_4105) ),
inference(resolution,[status(thm)],[c_14,c_111358]) ).
tff(c_119547,plain,
! [A_4106] :
( ( b2b3 = a1a2 )
| ( a1 = A_4106 )
| ~ incident(A_4106,a1a2)
| ~ incident(A_4106,b2b3) ),
inference(resolution,[status(thm)],[c_102984,c_119524]) ).
tff(c_119552,plain,
b2b3 = a1a2,
inference(splitLeft,[status(thm)],[c_119547]) ).
tff(c_119419,plain,
s2 = b2b3,
inference(splitLeft,[status(thm)],[c_111489]) ).
tff(c_119426,plain,
incident(a2,b2b3),
inference(demodulation,[status(thm),theory(equality)],[c_119419,c_46]) ).
tff(c_119461,plain,
( ( b3 = a2 )
| ~ incident(a2,a2a3) ),
inference(resolution,[status(thm)],[c_119426,c_117734]) ).
tff(c_119472,plain,
b3 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_18,c_119461]) ).
tff(c_117741,plain,
~ incident(b3,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_117732,c_103112]) ).
tff(c_119483,plain,
~ incident(a2,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_119472,c_117741]) ).
tff(c_119495,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_119483]) ).
tff(c_119498,plain,
! [A_4104] :
( ( b2 = A_4104 )
| ~ incident(A_4104,s2)
| ~ incident(A_4104,b2b3) ),
inference(splitRight,[status(thm)],[c_111489]) ).
tff(c_119523,plain,
( ( b2 = a2 )
| ~ incident(a2,b2b3) ),
inference(resolution,[status(thm)],[c_46,c_119498]) ).
tff(c_119550,plain,
~ incident(a2,b2b3),
inference(splitLeft,[status(thm)],[c_119523]) ).
tff(c_119567,plain,
~ incident(a2,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_119552,c_119550]) ).
tff(c_119578,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_119567]) ).
tff(c_119650,plain,
! [A_4109] :
( ( a1 = A_4109 )
| ~ incident(A_4109,a1a2)
| ~ incident(A_4109,b2b3) ),
inference(splitRight,[status(thm)],[c_119547]) ).
tff(c_119667,plain,
( ( b2 = a1 )
| ~ incident(b2,a1a2) ),
inference(resolution,[status(thm)],[c_30,c_119650]) ).
tff(c_119681,plain,
b2 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_118458,c_119667]) ).
tff(c_119737,plain,
b3 != a1,
inference(demodulation,[status(thm),theory(equality)],[c_119681,c_118]) ).
tff(c_119734,plain,
incident(a1,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_119681,c_28]) ).
tff(c_118457,plain,
p3 = b2,
inference(splitRight,[status(thm)],[c_117834]) ).
tff(c_117743,plain,
! [A_1] :
( ~ incident(p2,A_1)
| ~ incident(b3,A_1)
| ~ incident(p3,A_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_117732,c_125]) ).
tff(c_118487,plain,
! [A_4070] :
( ~ incident(p2,A_4070)
| ~ incident(b3,A_4070)
| ~ incident(b2,A_4070) ),
inference(demodulation,[status(thm),theory(equality)],[c_118457,c_117743]) ).
tff(c_118498,plain,
( ~ incident(b3,a3a1)
| ~ incident(b2,a3a1) ),
inference(resolution,[status(thm)],[c_64,c_118487]) ).
tff(c_118510,plain,
~ incident(b3,a3a1),
inference(demodulation,[status(thm),theory(equality)],[c_111262,c_118498]) ).
tff(c_118707,plain,
! [C_4078,A_4079] :
( ( b2b3 = C_4078 )
| ( a1 = A_4079 )
| ~ incident(a1,C_4078)
| ~ incident(A_4079,b2b3)
| ~ incident(A_4079,C_4078) ),
inference(resolution,[status(thm)],[c_102984,c_111358]) ).
tff(c_118732,plain,
! [A_4079] :
( ( b2b3 = a3a1 )
| ( a1 = A_4079 )
| ~ incident(A_4079,b2b3)
| ~ incident(A_4079,a3a1) ),
inference(resolution,[status(thm)],[c_24,c_118707]) ).
tff(c_118813,plain,
b2b3 = a3a1,
inference(splitLeft,[status(thm)],[c_118732]) ).
tff(c_118820,plain,
incident(b3,a3a1),
inference(demodulation,[status(thm),theory(equality)],[c_118813,c_32]) ).
tff(c_118826,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_118510,c_118820]) ).
tff(c_118884,plain,
! [A_4086] :
( ( a1 = A_4086 )
| ~ incident(A_4086,b2b3)
| ~ incident(A_4086,a3a1) ),
inference(splitRight,[status(thm)],[c_118732]) ).
tff(c_118901,plain,
( ( b2 = a1 )
| ~ incident(b2,a3a1) ),
inference(resolution,[status(thm)],[c_30,c_118884]) ).
tff(c_118915,plain,
b2 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_111262,c_118901]) ).
tff(c_118944,plain,
b3 != a1,
inference(demodulation,[status(thm),theory(equality)],[c_118915,c_118]) ).
tff(c_111451,plain,
! [C_3835,A_3837] :
( ( b1b2 = C_3835 )
| ( b2 = A_3837 )
| ~ incident(b2,C_3835)
| ~ incident(A_3837,b1b2)
| ~ incident(A_3837,C_3835) ),
inference(resolution,[status(thm)],[c_28,c_111358]) ).
tff(c_118958,plain,
! [C_4087,A_4088] :
( ( b1b2 = C_4087 )
| ( a1 = A_4088 )
| ~ incident(a1,C_4087)
| ~ incident(A_4088,b1b2)
| ~ incident(A_4088,C_4087) ),
inference(demodulation,[status(thm),theory(equality)],[c_118915,c_118915,c_111451]) ).
tff(c_118982,plain,
! [A_4088] :
( ( b2b3 = b1b2 )
| ( a1 = A_4088 )
| ~ incident(A_4088,b1b2)
| ~ incident(A_4088,b2b3) ),
inference(resolution,[status(thm)],[c_102984,c_118958]) ).
tff(c_119183,plain,
b2b3 = b1b2,
inference(splitLeft,[status(thm)],[c_118982]) ).
tff(c_118943,plain,
b1 != a1,
inference(demodulation,[status(thm),theory(equality)],[c_118915,c_119]) ).
tff(c_118795,plain,
s2 = b2b3,
inference(splitLeft,[status(thm)],[c_111489]) ).
tff(c_118517,plain,
! [C_4071,A_4072] :
( ( s2 = C_4071 )
| ( s = A_4072 )
| ~ incident(s,C_4071)
| ~ incident(A_4072,s2)
| ~ incident(A_4072,C_4071) ),
inference(resolution,[status(thm)],[c_40,c_111358]) ).
tff(c_118539,plain,
! [A_4072] :
( ( s3 = s2 )
| ( s = A_4072 )
| ~ incident(A_4072,s2)
| ~ incident(A_4072,s3) ),
inference(resolution,[status(thm)],[c_42,c_118517]) ).
tff(c_118635,plain,
s3 = s2,
inference(splitLeft,[status(thm)],[c_118539]) ).
tff(c_118637,plain,
incident(b3,s2),
inference(demodulation,[status(thm),theory(equality)],[c_118635,c_54]) ).
tff(c_112686,plain,
! [A_3839] :
( ( b2 = A_3839 )
| ~ incident(A_3839,s2)
| ~ incident(A_3839,b1b2) ),
inference(splitRight,[status(thm)],[c_111488]) ).
tff(c_118691,plain,
( ( b3 = b2 )
| ~ incident(b3,b1b2) ),
inference(resolution,[status(thm)],[c_118637,c_112686]) ).
tff(c_118702,plain,
b3 = b2,
inference(demodulation,[status(thm),theory(equality)],[c_117740,c_118691]) ).
tff(c_118704,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_118,c_118702]) ).
tff(c_118733,plain,
! [A_4080] :
( ( s = A_4080 )
| ~ incident(A_4080,s2)
| ~ incident(A_4080,s3) ),
inference(splitRight,[status(thm)],[c_118539]) ).
tff(c_118757,plain,
( ( s = b3 )
| ~ incident(b3,s2) ),
inference(resolution,[status(thm)],[c_54,c_118733]) ).
tff(c_118763,plain,
~ incident(b3,s2),
inference(splitLeft,[status(thm)],[c_118757]) ).
tff(c_118797,plain,
~ incident(b3,b2b3),
inference(demodulation,[status(thm),theory(equality)],[c_118795,c_118763]) ).
tff(c_118810,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_32,c_118797]) ).
tff(c_118829,plain,
! [A_4083] :
( ( b2 = A_4083 )
| ~ incident(A_4083,s2)
| ~ incident(A_4083,b2b3) ),
inference(splitRight,[status(thm)],[c_111489]) ).
tff(c_118857,plain,
( ( s = b2 )
| ~ incident(s,b2b3) ),
inference(resolution,[status(thm)],[c_40,c_118829]) ).
tff(c_118859,plain,
~ incident(s,b2b3),
inference(splitLeft,[status(thm)],[c_118857]) ).
tff(c_118731,plain,
! [A_4079] :
( ( s1 = b2b3 )
| ( a1 = A_4079 )
| ~ incident(A_4079,b2b3)
| ~ incident(A_4079,s1) ),
inference(resolution,[status(thm)],[c_44,c_118707]) ).
tff(c_118916,plain,
s1 = b2b3,
inference(splitLeft,[status(thm)],[c_118731]) ).
tff(c_118919,plain,
incident(s,b2b3),
inference(demodulation,[status(thm),theory(equality)],[c_118916,c_38]) ).
tff(c_118924,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_118859,c_118919]) ).
tff(c_119060,plain,
! [A_4090] :
( ( a1 = A_4090 )
| ~ incident(A_4090,b2b3)
| ~ incident(A_4090,s1) ),
inference(splitRight,[status(thm)],[c_118731]) ).
tff(c_119077,plain,
( ( b1 = a1 )
| ~ incident(b1,b2b3) ),
inference(resolution,[status(thm)],[c_50,c_119060]) ).
tff(c_119091,plain,
~ incident(b1,b2b3),
inference(negUnitSimplification,[status(thm)],[c_118943,c_119077]) ).
tff(c_119185,plain,
~ incident(b1,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_119183,c_119091]) ).
tff(c_119202,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_26,c_119185]) ).
tff(c_119205,plain,
! [A_4095] :
( ( a1 = A_4095 )
| ~ incident(A_4095,b1b2)
| ~ incident(A_4095,b2b3) ),
inference(splitRight,[status(thm)],[c_118982]) ).
tff(c_119219,plain,
( ( b3 = a1 )
| ~ incident(b3,b1b2) ),
inference(resolution,[status(thm)],[c_32,c_119205]) ).
tff(c_119232,plain,
b3 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_117740,c_119219]) ).
tff(c_119234,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_118944,c_119232]) ).
tff(c_119235,plain,
s = b2,
inference(splitRight,[status(thm)],[c_118857]) ).
tff(c_118540,plain,
! [A_4073] :
( ( b2 = A_4073 )
| ~ incident(A_4073,s2)
| ~ incident(A_4073,b1b2) ),
inference(splitRight,[status(thm)],[c_111488]) ).
tff(c_118568,plain,
( ( s = b2 )
| ~ incident(s,b1b2) ),
inference(resolution,[status(thm)],[c_40,c_118540]) ).
tff(c_118570,plain,
~ incident(s,b1b2),
inference(splitLeft,[status(thm)],[c_118568]) ).
tff(c_119262,plain,
~ incident(b2,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_119235,c_118570]) ).
tff(c_119270,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_28,c_119262]) ).
tff(c_119271,plain,
s = b3,
inference(splitRight,[status(thm)],[c_118757]) ).
tff(c_119274,plain,
~ incident(b3,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_119271,c_118570]) ).
tff(c_119282,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_117740,c_119274]) ).
tff(c_119283,plain,
s = b2,
inference(splitRight,[status(thm)],[c_118568]) ).
tff(c_119289,plain,
incident(b2,s3),
inference(demodulation,[status(thm),theory(equality)],[c_119283,c_42]) ).
tff(c_119720,plain,
incident(a1,s3),
inference(demodulation,[status(thm),theory(equality)],[c_119681,c_119289]) ).
tff(c_119881,plain,
! [C_4114,A_4115] :
( ( b1b2 = C_4114 )
| ( a1 = A_4115 )
| ~ incident(a1,C_4114)
| ~ incident(A_4115,b1b2)
| ~ incident(A_4115,C_4114) ),
inference(demodulation,[status(thm),theory(equality)],[c_119681,c_119681,c_111451]) ).
tff(c_119914,plain,
! [A_4115] :
( ( b2b3 = b1b2 )
| ( a1 = A_4115 )
| ~ incident(A_4115,b1b2)
| ~ incident(A_4115,b2b3) ),
inference(resolution,[status(thm)],[c_102984,c_119881]) ).
tff(c_120000,plain,
b2b3 = b1b2,
inference(splitLeft,[status(thm)],[c_119914]) ).
tff(c_119754,plain,
! [C_4111,A_4112] :
( ( s3 = C_4111 )
| ( b3 = A_4112 )
| ~ incident(b3,C_4111)
| ~ incident(A_4112,s3)
| ~ incident(A_4112,C_4111) ),
inference(resolution,[status(thm)],[c_54,c_111358]) ).
tff(c_119781,plain,
! [A_4112] :
( ( s3 = b2b3 )
| ( b3 = A_4112 )
| ~ incident(A_4112,s3)
| ~ incident(A_4112,b2b3) ),
inference(resolution,[status(thm)],[c_32,c_119754]) ).
tff(c_120133,plain,
! [A_4112] :
( ( s3 = b1b2 )
| ( b3 = A_4112 )
| ~ incident(A_4112,s3)
| ~ incident(A_4112,b1b2) ),
inference(demodulation,[status(thm),theory(equality)],[c_120000,c_120000,c_119781]) ).
tff(c_120134,plain,
s3 = b1b2,
inference(splitLeft,[status(thm)],[c_120133]) ).
tff(c_120140,plain,
incident(a3,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_120134,c_48]) ).
tff(c_120145,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_103108,c_120140]) ).
tff(c_120148,plain,
! [A_4123] :
( ( b3 = A_4123 )
| ~ incident(A_4123,s3)
| ~ incident(A_4123,b1b2) ),
inference(splitRight,[status(thm)],[c_120133]) ).
tff(c_120151,plain,
( ( b3 = a1 )
| ~ incident(a1,b1b2) ),
inference(resolution,[status(thm)],[c_119720,c_120148]) ).
tff(c_120168,plain,
b3 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_119734,c_120151]) ).
tff(c_120170,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_119737,c_120168]) ).
tff(c_120206,plain,
! [A_4126] :
( ( a1 = A_4126 )
| ~ incident(A_4126,b1b2)
| ~ incident(A_4126,b2b3) ),
inference(splitRight,[status(thm)],[c_119914]) ).
tff(c_120220,plain,
( ( b3 = a1 )
| ~ incident(b3,b1b2) ),
inference(resolution,[status(thm)],[c_32,c_120206]) ).
tff(c_120233,plain,
b3 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_117740,c_120220]) ).
tff(c_120235,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_119737,c_120233]) ).
tff(c_120236,plain,
b2 = a2,
inference(splitRight,[status(thm)],[c_119523]) ).
tff(c_118501,plain,
( ~ incident(b3,b3b1)
| ~ incident(b2,b3b1) ),
inference(resolution,[status(thm)],[c_66,c_118487]) ).
tff(c_118513,plain,
~ incident(b2,b3b1),
inference(demodulation,[status(thm),theory(equality)],[c_34,c_118501]) ).
tff(c_120246,plain,
~ incident(a2,b3b1),
inference(demodulation,[status(thm),theory(equality)],[c_120236,c_118513]) ).
tff(c_120261,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_111230,c_120246]) ).
tff(c_120263,plain,
incident(p1,a1a2),
inference(splitRight,[status(thm)],[c_102994]) ).
tff(c_133508,plain,
! [D_4564,C_4565,B_4566,A_4567] :
( ( D_4564 = C_4565 )
| ( B_4566 = A_4567 )
| ~ incident(B_4566,D_4564)
| ~ incident(B_4566,C_4565)
| ~ incident(A_4567,D_4564)
| ~ incident(A_4567,C_4565) ),
inference(cnfTransformation,[status(thm)],[f_153]) ).
tff(c_134419,plain,
! [C_4595,A_4596] :
( ( b2b3 = C_4595 )
| ( a1 = A_4596 )
| ~ incident(a1,C_4595)
| ~ incident(A_4596,b2b3)
| ~ incident(A_4596,C_4595) ),
inference(resolution,[status(thm)],[c_102984,c_133508]) ).
tff(c_134444,plain,
! [A_4596] :
( ( b2b3 = a3a1 )
| ( a1 = A_4596 )
| ~ incident(A_4596,b2b3)
| ~ incident(A_4596,a3a1) ),
inference(resolution,[status(thm)],[c_24,c_134419]) ).
tff(c_136321,plain,
b2b3 = a3a1,
inference(splitLeft,[status(thm)],[c_134444]) ).
tff(c_136326,plain,
incident(p1,a3a1),
inference(demodulation,[status(thm),theory(equality)],[c_136321,c_62]) ).
tff(c_120262,plain,
~ incident(p2,a1a2),
inference(splitRight,[status(thm)],[c_102994]) ).
tff(c_134440,plain,
! [A_4596] :
( ( b2b3 = a1a2 )
| ( a1 = A_4596 )
| ~ incident(A_4596,b2b3)
| ~ incident(A_4596,a1a2) ),
inference(resolution,[status(thm)],[c_14,c_134419]) ).
tff(c_136419,plain,
! [A_4596] :
( ( a3a1 = a1a2 )
| ( a1 = A_4596 )
| ~ incident(A_4596,a3a1)
| ~ incident(A_4596,a1a2) ),
inference(demodulation,[status(thm),theory(equality)],[c_136321,c_136321,c_134440]) ).
tff(c_136420,plain,
a3a1 = a1a2,
inference(splitLeft,[status(thm)],[c_136419]) ).
tff(c_136430,plain,
incident(p2,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_136420,c_64]) ).
tff(c_136437,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_120262,c_136430]) ).
tff(c_136465,plain,
! [A_4657] :
( ( a1 = A_4657 )
| ~ incident(A_4657,a3a1)
| ~ incident(A_4657,a1a2) ),
inference(splitRight,[status(thm)],[c_136419]) ).
tff(c_136468,plain,
( ( p1 = a1 )
| ~ incident(p1,a1a2) ),
inference(resolution,[status(thm)],[c_136326,c_136465]) ).
tff(c_136494,plain,
p1 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_120263,c_136468]) ).
tff(c_120264,plain,
~ incident(p1,b1b2),
inference(splitLeft,[status(thm)],[c_102990]) ).
tff(c_120513,plain,
! [D_4143,C_4144,B_4145,A_4146] :
( ( D_4143 = C_4144 )
| ( B_4145 = A_4146 )
| ~ incident(B_4145,D_4143)
| ~ incident(B_4145,C_4144)
| ~ incident(A_4146,D_4143)
| ~ incident(A_4146,C_4144) ),
inference(cnfTransformation,[status(thm)],[f_153]) ).
tff(c_120619,plain,
! [C_4147,A_4148] :
( ( s2 = C_4147 )
| ( b2 = A_4148 )
| ~ incident(b2,C_4147)
| ~ incident(A_4148,s2)
| ~ incident(A_4148,C_4147) ),
inference(resolution,[status(thm)],[c_52,c_120513]) ).
tff(c_120643,plain,
! [A_4148] :
( ( s2 = b1b2 )
| ( b2 = A_4148 )
| ~ incident(A_4148,s2)
| ~ incident(A_4148,b1b2) ),
inference(resolution,[status(thm)],[c_28,c_120619]) ).
tff(c_120645,plain,
s2 = b1b2,
inference(splitLeft,[status(thm)],[c_120643]) ).
tff(c_120644,plain,
! [A_4148] :
( ( s2 = b2b3 )
| ( b2 = A_4148 )
| ~ incident(A_4148,s2)
| ~ incident(A_4148,b2b3) ),
inference(resolution,[status(thm)],[c_30,c_120619]) ).
tff(c_120709,plain,
! [A_4148] :
( ( b2b3 = b1b2 )
| ( b2 = A_4148 )
| ~ incident(A_4148,b1b2)
| ~ incident(A_4148,b2b3) ),
inference(demodulation,[status(thm),theory(equality)],[c_120645,c_120645,c_120644]) ).
tff(c_120710,plain,
b2b3 = b1b2,
inference(splitLeft,[status(thm)],[c_120709]) ).
tff(c_120714,plain,
incident(p1,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_120710,c_62]) ).
tff(c_120720,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_120264,c_120714]) ).
tff(c_120746,plain,
! [A_4153] :
( ( b2 = A_4153 )
| ~ incident(A_4153,b1b2)
| ~ incident(A_4153,b2b3) ),
inference(splitRight,[status(thm)],[c_120709]) ).
tff(c_120773,plain,
( ( b2 = a1 )
| ~ incident(a1,b1b2) ),
inference(resolution,[status(thm)],[c_102984,c_120746]) ).
tff(c_120782,plain,
~ incident(a1,b1b2),
inference(splitLeft,[status(thm)],[c_120773]) ).
tff(c_120384,plain,
incident(b2,a3a1),
inference(negUnitSimplification,[status(thm)],[c_103108,c_12]) ).
tff(c_120657,plain,
! [C_4149,A_4150] :
( ( b2b3 = C_4149 )
| ( a1 = A_4150 )
| ~ incident(a1,C_4149)
| ~ incident(A_4150,b2b3)
| ~ incident(A_4150,C_4149) ),
inference(resolution,[status(thm)],[c_102984,c_120513]) ).
tff(c_120682,plain,
! [A_4150] :
( ( b2b3 = a3a1 )
| ( a1 = A_4150 )
| ~ incident(A_4150,b2b3)
| ~ incident(A_4150,a3a1) ),
inference(resolution,[status(thm)],[c_24,c_120657]) ).
tff(c_121731,plain,
b2b3 = a3a1,
inference(splitLeft,[status(thm)],[c_120682]) ).
tff(c_121737,plain,
incident(p1,a3a1),
inference(demodulation,[status(thm),theory(equality)],[c_121731,c_62]) ).
tff(c_121740,plain,
a3a1 != a2a3,
inference(demodulation,[status(thm),theory(equality)],[c_121731,c_115]) ).
tff(c_120678,plain,
! [A_4150] :
( ( b2b3 = a1a2 )
| ( a1 = A_4150 )
| ~ incident(A_4150,b2b3)
| ~ incident(A_4150,a1a2) ),
inference(resolution,[status(thm)],[c_14,c_120657]) ).
tff(c_121879,plain,
! [A_4150] :
( ( a3a1 = a1a2 )
| ( a1 = A_4150 )
| ~ incident(A_4150,a3a1)
| ~ incident(A_4150,a1a2) ),
inference(demodulation,[status(thm),theory(equality)],[c_121731,c_121731,c_120678]) ).
tff(c_121880,plain,
a3a1 = a1a2,
inference(splitLeft,[status(thm)],[c_121879]) ).
tff(c_120650,plain,
incident(a2,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_120645,c_46]) ).
tff(c_120721,plain,
! [A_4148] :
( ( b2 = A_4148 )
| ~ incident(A_4148,b1b2)
| ~ incident(A_4148,b2b3) ),
inference(splitRight,[status(thm)],[c_120709]) ).
tff(c_121797,plain,
! [A_4182] :
( ( b2 = A_4182 )
| ~ incident(A_4182,b1b2)
| ~ incident(A_4182,a3a1) ),
inference(demodulation,[status(thm),theory(equality)],[c_121731,c_120721]) ).
tff(c_121821,plain,
( ( b2 = a2 )
| ~ incident(a2,a3a1) ),
inference(resolution,[status(thm)],[c_120650,c_121797]) ).
tff(c_121852,plain,
~ incident(a2,a3a1),
inference(splitLeft,[status(thm)],[c_121821]) ).
tff(c_121882,plain,
~ incident(a2,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_121880,c_121852]) ).
tff(c_121901,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_121882]) ).
tff(c_121904,plain,
! [A_4185] :
( ( a1 = A_4185 )
| ~ incident(A_4185,a3a1)
| ~ incident(A_4185,a1a2) ),
inference(splitRight,[status(thm)],[c_121879]) ).
tff(c_121910,plain,
( ( p1 = a1 )
| ~ incident(p1,a1a2) ),
inference(resolution,[status(thm)],[c_121737,c_121904]) ).
tff(c_121934,plain,
p1 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_120263,c_121910]) ).
tff(c_121959,plain,
incident(a1,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_121934,c_60]) ).
tff(c_120614,plain,
! [C_4144,A_4146] :
( ( a3a1 = C_4144 )
| ( a1 = A_4146 )
| ~ incident(a1,C_4144)
| ~ incident(A_4146,a3a1)
| ~ incident(A_4146,C_4144) ),
inference(resolution,[status(thm)],[c_24,c_120513]) ).
tff(c_121993,plain,
! [A_4146] :
( ( a3a1 = a2a3 )
| ( a1 = A_4146 )
| ~ incident(A_4146,a3a1)
| ~ incident(A_4146,a2a3) ),
inference(resolution,[status(thm)],[c_121959,c_120614]) ).
tff(c_122102,plain,
! [A_4191] :
( ( a1 = A_4191 )
| ~ incident(A_4191,a3a1)
| ~ incident(A_4191,a2a3) ),
inference(negUnitSimplification,[status(thm)],[c_121740,c_121993]) ).
tff(c_122122,plain,
( ( a3 = a1 )
| ~ incident(a3,a2a3) ),
inference(resolution,[status(thm)],[c_22,c_122102]) ).
tff(c_122137,plain,
a3 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_20,c_122122]) ).
tff(c_122139,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_120,c_122137]) ).
tff(c_122141,plain,
incident(a2,a3a1),
inference(splitRight,[status(thm)],[c_121821]) ).
tff(c_122225,plain,
! [A_4150] :
( ( a3a1 = a1a2 )
| ( a1 = A_4150 )
| ~ incident(A_4150,a3a1)
| ~ incident(A_4150,a1a2) ),
inference(demodulation,[status(thm),theory(equality)],[c_121731,c_121731,c_120678]) ).
tff(c_122226,plain,
a3a1 = a1a2,
inference(splitLeft,[status(thm)],[c_122225]) ).
tff(c_121829,plain,
( ( p3 = b2 )
| ~ incident(p3,a3a1) ),
inference(resolution,[status(thm)],[c_58,c_121797]) ).
tff(c_121851,plain,
~ incident(p3,a3a1),
inference(splitLeft,[status(thm)],[c_121829]) ).
tff(c_122231,plain,
~ incident(p3,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_122226,c_121851]) ).
tff(c_122247,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_56,c_122231]) ).
tff(c_122250,plain,
! [A_4195] :
( ( a1 = A_4195 )
| ~ incident(A_4195,a3a1)
| ~ incident(A_4195,a1a2) ),
inference(splitRight,[status(thm)],[c_122225]) ).
tff(c_122253,plain,
( ( a2 = a1 )
| ~ incident(a2,a1a2) ),
inference(resolution,[status(thm)],[c_122141,c_122250]) ).
tff(c_122279,plain,
a2 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_122253]) ).
tff(c_122281,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_122,c_122279]) ).
tff(c_122282,plain,
p3 = b2,
inference(splitRight,[status(thm)],[c_121829]) ).
tff(c_122338,plain,
! [A_4198] :
( ~ incident(p2,A_4198)
| ~ incident(p1,A_4198)
| ~ incident(b2,A_4198) ),
inference(demodulation,[status(thm),theory(equality)],[c_122282,c_125]) ).
tff(c_122349,plain,
( ~ incident(p1,a3a1)
| ~ incident(b2,a3a1) ),
inference(resolution,[status(thm)],[c_64,c_122338]) ).
tff(c_122362,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_120384,c_121737,c_122349]) ).
tff(c_122423,plain,
! [A_4202] :
( ( a1 = A_4202 )
| ~ incident(A_4202,b2b3)
| ~ incident(A_4202,a3a1) ),
inference(splitRight,[status(thm)],[c_120682]) ).
tff(c_122443,plain,
( ( b2 = a1 )
| ~ incident(b2,a3a1) ),
inference(resolution,[status(thm)],[c_30,c_122423]) ).
tff(c_122458,plain,
b2 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_120384,c_122443]) ).
tff(c_122480,plain,
incident(a1,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_122458,c_28]) ).
tff(c_122486,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_120782,c_122480]) ).
tff(c_122487,plain,
b2 = a1,
inference(splitRight,[status(thm)],[c_120773]) ).
tff(c_122492,plain,
incident(a1,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_122487,c_28]) ).
tff(c_120612,plain,
! [C_4144,A_4146] :
( ( s2 = C_4144 )
| ( a2 = A_4146 )
| ~ incident(a2,C_4144)
| ~ incident(A_4146,s2)
| ~ incident(A_4146,C_4144) ),
inference(resolution,[status(thm)],[c_46,c_120513]) ).
tff(c_122504,plain,
! [C_4203,A_4204] :
( ( b1b2 = C_4203 )
| ( a2 = A_4204 )
| ~ incident(a2,C_4203)
| ~ incident(A_4204,b1b2)
| ~ incident(A_4204,C_4203) ),
inference(demodulation,[status(thm),theory(equality)],[c_120645,c_120645,c_120612]) ).
tff(c_122518,plain,
! [A_4204] :
( ( b1b2 = a1a2 )
| ( a2 = A_4204 )
| ~ incident(A_4204,b1b2)
| ~ incident(A_4204,a1a2) ),
inference(resolution,[status(thm)],[c_16,c_122504]) ).
tff(c_122550,plain,
! [A_4205] :
( ( a2 = A_4205 )
| ~ incident(A_4205,b1b2)
| ~ incident(A_4205,a1a2) ),
inference(negUnitSimplification,[status(thm)],[c_116,c_122518]) ).
tff(c_122553,plain,
( ( a2 = a1 )
| ~ incident(a1,a1a2) ),
inference(resolution,[status(thm)],[c_122492,c_122550]) ).
tff(c_122576,plain,
a2 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_122553]) ).
tff(c_122578,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_122,c_122576]) ).
tff(c_122581,plain,
! [A_4206] :
( ( b2 = A_4206 )
| ~ incident(A_4206,s2)
| ~ incident(A_4206,b1b2) ),
inference(splitRight,[status(thm)],[c_120643]) ).
tff(c_122610,plain,
( ( b2 = a2 )
| ~ incident(a2,b1b2) ),
inference(resolution,[status(thm)],[c_46,c_122581]) ).
tff(c_130919,plain,
~ incident(a2,b1b2),
inference(splitLeft,[status(thm)],[c_122610]) ).
tff(c_132365,plain,
! [C_4522,A_4523] :
( ( b2b3 = C_4522 )
| ( a1 = A_4523 )
| ~ incident(a1,C_4522)
| ~ incident(A_4523,b2b3)
| ~ incident(A_4523,C_4522) ),
inference(resolution,[status(thm)],[c_102984,c_120513]) ).
tff(c_132386,plain,
! [A_4523] :
( ( b2b3 = a1a2 )
| ( a1 = A_4523 )
| ~ incident(A_4523,b2b3)
| ~ incident(A_4523,a1a2) ),
inference(resolution,[status(thm)],[c_14,c_132365]) ).
tff(c_132418,plain,
b2b3 = a1a2,
inference(splitLeft,[status(thm)],[c_132386]) ).
tff(c_130920,plain,
s2 = b2b3,
inference(splitLeft,[status(thm)],[c_120644]) ).
tff(c_130952,plain,
incident(a2,b2b3),
inference(demodulation,[status(thm),theory(equality)],[c_130920,c_46]) ).
tff(c_122579,plain,
! [A_4148] :
( ( b2 = A_4148 )
| ~ incident(A_4148,s2)
| ~ incident(A_4148,b1b2) ),
inference(splitRight,[status(thm)],[c_120643]) ).
tff(c_130972,plain,
! [A_4480] :
( ( b2 = A_4480 )
| ~ incident(A_4480,b2b3)
| ~ incident(A_4480,b1b2) ),
inference(demodulation,[status(thm),theory(equality)],[c_130920,c_122579]) ).
tff(c_131003,plain,
( ( b2 = a1 )
| ~ incident(a1,b1b2) ),
inference(resolution,[status(thm)],[c_102984,c_130972]) ).
tff(c_131035,plain,
~ incident(a1,b1b2),
inference(splitLeft,[status(thm)],[c_131003]) ).
tff(c_130566,plain,
! [C_4465,A_4466] :
( ( b2b3 = C_4465 )
| ( a1 = A_4466 )
| ~ incident(a1,C_4465)
| ~ incident(A_4466,b2b3)
| ~ incident(A_4466,C_4465) ),
inference(resolution,[status(thm)],[c_102984,c_120513]) ).
tff(c_130595,plain,
! [A_4466] :
( ( b2b3 = a3a1 )
| ( a1 = A_4466 )
| ~ incident(A_4466,b2b3)
| ~ incident(A_4466,a3a1) ),
inference(resolution,[status(thm)],[c_24,c_130566]) ).
tff(c_130669,plain,
b2b3 = a3a1,
inference(splitLeft,[status(thm)],[c_130595]) ).
tff(c_122613,plain,
! [C_4207,A_4208] :
( ( a2a3 = C_4207 )
| ( p1 = A_4208 )
| ~ incident(p1,C_4207)
| ~ incident(A_4208,a2a3)
| ~ incident(A_4208,C_4207) ),
inference(resolution,[status(thm)],[c_60,c_120513]) ).
tff(c_122625,plain,
! [A_4208] :
( ( b2b3 = a2a3 )
| ( p1 = A_4208 )
| ~ incident(A_4208,a2a3)
| ~ incident(A_4208,b2b3) ),
inference(resolution,[status(thm)],[c_62,c_122613]) ).
tff(c_122638,plain,
! [A_4209] :
( ( p1 = A_4209 )
| ~ incident(A_4209,a2a3)
| ~ incident(A_4209,b2b3) ),
inference(negUnitSimplification,[status(thm)],[c_115,c_122625]) ).
tff(c_122665,plain,
( ( p1 = a1 )
| ~ incident(a1,a2a3) ),
inference(resolution,[status(thm)],[c_102984,c_122638]) ).
tff(c_122672,plain,
~ incident(a1,a2a3),
inference(splitLeft,[status(thm)],[c_122665]) ).
tff(c_124568,plain,
! [C_4273,A_4274] :
( ( b2b3 = C_4273 )
| ( a1 = A_4274 )
| ~ incident(a1,C_4273)
| ~ incident(A_4274,b2b3)
| ~ incident(A_4274,C_4273) ),
inference(resolution,[status(thm)],[c_102984,c_120513]) ).
tff(c_124593,plain,
! [A_4274] :
( ( b2b3 = a3a1 )
| ( a1 = A_4274 )
| ~ incident(A_4274,b2b3)
| ~ incident(A_4274,a3a1) ),
inference(resolution,[status(thm)],[c_24,c_124568]) ).
tff(c_124595,plain,
b2b3 = a3a1,
inference(splitLeft,[status(thm)],[c_124593]) ).
tff(c_122637,plain,
! [A_4208] :
( ( p1 = A_4208 )
| ~ incident(A_4208,a2a3)
| ~ incident(A_4208,b2b3) ),
inference(negUnitSimplification,[status(thm)],[c_115,c_122625]) ).
tff(c_124773,plain,
! [A_4281] :
( ( p1 = A_4281 )
| ~ incident(A_4281,a2a3)
| ~ incident(A_4281,a3a1) ),
inference(demodulation,[status(thm),theory(equality)],[c_124595,c_122637]) ).
tff(c_124793,plain,
( ( p1 = a3 )
| ~ incident(a3,a2a3) ),
inference(resolution,[status(thm)],[c_22,c_124773]) ).
tff(c_124811,plain,
p1 = a3,
inference(demodulation,[status(thm),theory(equality)],[c_20,c_124793]) ).
tff(c_124819,plain,
incident(a3,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_124811,c_120263]) ).
tff(c_124589,plain,
! [A_4274] :
( ( b2b3 = a1a2 )
| ( a1 = A_4274 )
| ~ incident(A_4274,b2b3)
| ~ incident(A_4274,a1a2) ),
inference(resolution,[status(thm)],[c_14,c_124568]) ).
tff(c_125350,plain,
! [A_4274] :
( ( a3a1 = a1a2 )
| ( a1 = A_4274 )
| ~ incident(A_4274,a3a1)
| ~ incident(A_4274,a1a2) ),
inference(demodulation,[status(thm),theory(equality)],[c_124595,c_124595,c_124589]) ).
tff(c_125351,plain,
a3a1 = a1a2,
inference(splitLeft,[status(thm)],[c_125350]) ).
tff(c_122675,plain,
s2 = b2b3,
inference(splitLeft,[status(thm)],[c_120644]) ).
tff(c_122705,plain,
incident(a2,b2b3),
inference(demodulation,[status(thm),theory(equality)],[c_122675,c_46]) ).
tff(c_122792,plain,
! [A_4214] :
( ( b2 = A_4214 )
| ~ incident(A_4214,b2b3)
| ~ incident(A_4214,b1b2) ),
inference(demodulation,[status(thm),theory(equality)],[c_122675,c_122579]) ).
tff(c_122824,plain,
( ( b2 = a1 )
| ~ incident(a1,b1b2) ),
inference(resolution,[status(thm)],[c_102984,c_122792]) ).
tff(c_122832,plain,
~ incident(a1,b1b2),
inference(splitLeft,[status(thm)],[c_122824]) ).
tff(c_123006,plain,
! [C_4220,A_4221] :
( ( b2b3 = C_4220 )
| ( a1 = A_4221 )
| ~ incident(a1,C_4220)
| ~ incident(A_4221,b2b3)
| ~ incident(A_4221,C_4220) ),
inference(resolution,[status(thm)],[c_102984,c_120513]) ).
tff(c_123031,plain,
! [A_4221] :
( ( b2b3 = a3a1 )
| ( a1 = A_4221 )
| ~ incident(A_4221,b2b3)
| ~ incident(A_4221,a3a1) ),
inference(resolution,[status(thm)],[c_24,c_123006]) ).
tff(c_123049,plain,
b2b3 = a3a1,
inference(splitLeft,[status(thm)],[c_123031]) ).
tff(c_122769,plain,
! [C_4212,A_4213] :
( ( s3 = C_4212 )
| ( b3 = A_4213 )
| ~ incident(b3,C_4212)
| ~ incident(A_4213,s3)
| ~ incident(A_4213,C_4212) ),
inference(resolution,[status(thm)],[c_54,c_120513]) ).
tff(c_122790,plain,
! [A_4213] :
( ( s3 = b2b3 )
| ( b3 = A_4213 )
| ~ incident(A_4213,s3)
| ~ incident(A_4213,b2b3) ),
inference(resolution,[status(thm)],[c_32,c_122769]) ).
tff(c_122897,plain,
s3 = b2b3,
inference(splitLeft,[status(thm)],[c_122790]) ).
tff(c_122901,plain,
incident(a3,b2b3),
inference(demodulation,[status(thm),theory(equality)],[c_122897,c_48]) ).
tff(c_122732,plain,
( ( p1 = a2 )
| ~ incident(a2,a2a3) ),
inference(resolution,[status(thm)],[c_122705,c_122637]) ).
tff(c_122743,plain,
p1 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_18,c_122732]) ).
tff(c_122749,plain,
! [A_4208] :
( ( a2 = A_4208 )
| ~ incident(A_4208,a2a3)
| ~ incident(A_4208,b2b3) ),
inference(demodulation,[status(thm),theory(equality)],[c_122743,c_122637]) ).
tff(c_122912,plain,
( ( a3 = a2 )
| ~ incident(a3,a2a3) ),
inference(resolution,[status(thm)],[c_122901,c_122749]) ).
tff(c_122928,plain,
a3 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_20,c_122912]) ).
tff(c_122930,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_121,c_122928]) ).
tff(c_122961,plain,
! [A_4219] :
( ( b3 = A_4219 )
| ~ incident(A_4219,s3)
| ~ incident(A_4219,b2b3) ),
inference(splitRight,[status(thm)],[c_122790]) ).
tff(c_122989,plain,
( ( b3 = a3 )
| ~ incident(a3,b2b3) ),
inference(resolution,[status(thm)],[c_48,c_122961]) ).
tff(c_123048,plain,
~ incident(a3,b2b3),
inference(splitLeft,[status(thm)],[c_122989]) ).
tff(c_123050,plain,
~ incident(a3,a3a1),
inference(demodulation,[status(thm),theory(equality)],[c_123049,c_123048]) ).
tff(c_123067,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_22,c_123050]) ).
tff(c_123258,plain,
! [A_4229] :
( ( a1 = A_4229 )
| ~ incident(A_4229,b2b3)
| ~ incident(A_4229,a3a1) ),
inference(splitRight,[status(thm)],[c_123031]) ).
tff(c_123278,plain,
( ( b2 = a1 )
| ~ incident(b2,a3a1) ),
inference(resolution,[status(thm)],[c_30,c_123258]) ).
tff(c_123295,plain,
b2 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_120384,c_123278]) ).
tff(c_123305,plain,
incident(a1,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_123295,c_28]) ).
tff(c_123313,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_122832,c_123305]) ).
tff(c_123314,plain,
b3 = a3,
inference(splitRight,[status(thm)],[c_122989]) ).
tff(c_122670,plain,
( ( p1 = b3 )
| ~ incident(b3,a2a3) ),
inference(resolution,[status(thm)],[c_32,c_122638]) ).
tff(c_122673,plain,
~ incident(b3,a2a3),
inference(splitLeft,[status(thm)],[c_122670]) ).
tff(c_123321,plain,
~ incident(a3,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_123314,c_122673]) ).
tff(c_123330,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_20,c_123321]) ).
tff(c_123331,plain,
b2 = a1,
inference(splitRight,[status(thm)],[c_122824]) ).
tff(c_123362,plain,
b3 != a1,
inference(demodulation,[status(thm),theory(equality)],[c_123331,c_118]) ).
tff(c_123804,plain,
! [C_4247,A_4248] :
( ( b2b3 = C_4247 )
| ( a1 = A_4248 )
| ~ incident(a1,C_4247)
| ~ incident(A_4248,b2b3)
| ~ incident(A_4248,C_4247) ),
inference(resolution,[status(thm)],[c_102984,c_120513]) ).
tff(c_123829,plain,
! [A_4248] :
( ( b2b3 = a1a2 )
| ( a1 = A_4248 )
| ~ incident(A_4248,b2b3)
| ~ incident(A_4248,a1a2) ),
inference(resolution,[status(thm)],[c_14,c_123804]) ).
tff(c_123958,plain,
b2b3 = a1a2,
inference(splitLeft,[status(thm)],[c_123829]) ).
tff(c_123970,plain,
incident(b3,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_123958,c_32]) ).
tff(c_122704,plain,
incident(s,b2b3),
inference(demodulation,[status(thm),theory(equality)],[c_122675,c_40]) ).
tff(c_123645,plain,
s3 = b2b3,
inference(splitLeft,[status(thm)],[c_122790]) ).
tff(c_123682,plain,
incident(a3,b2b3),
inference(demodulation,[status(thm),theory(equality)],[c_123645,c_48]) ).
tff(c_123696,plain,
( ( a3 = a2 )
| ~ incident(a3,a2a3) ),
inference(resolution,[status(thm)],[c_123682,c_122749]) ).
tff(c_123711,plain,
a3 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_20,c_123696]) ).
tff(c_123713,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_121,c_123711]) ).
tff(c_123716,plain,
! [A_4244] :
( ( b3 = A_4244 )
| ~ incident(A_4244,s3)
| ~ incident(A_4244,b2b3) ),
inference(splitRight,[status(thm)],[c_122790]) ).
tff(c_123733,plain,
( ( s = b3 )
| ~ incident(s,b2b3) ),
inference(resolution,[status(thm)],[c_42,c_123716]) ).
tff(c_123747,plain,
s = b3,
inference(demodulation,[status(thm),theory(equality)],[c_122704,c_123733]) ).
tff(c_123752,plain,
incident(b3,s1),
inference(demodulation,[status(thm),theory(equality)],[c_123747,c_38]) ).
tff(c_123361,plain,
b1 != a1,
inference(demodulation,[status(thm),theory(equality)],[c_123331,c_119]) ).
tff(c_123332,plain,
incident(a1,b1b2),
inference(splitRight,[status(thm)],[c_122824]) ).
tff(c_123333,plain,
! [C_4230,A_4231] :
( ( a1a2 = C_4230 )
| ( p3 = A_4231 )
| ~ incident(p3,C_4230)
| ~ incident(A_4231,a1a2)
| ~ incident(A_4231,C_4230) ),
inference(resolution,[status(thm)],[c_56,c_120513]) ).
tff(c_123343,plain,
! [A_4231] :
( ( b1b2 = a1a2 )
| ( p3 = A_4231 )
| ~ incident(A_4231,a1a2)
| ~ incident(A_4231,b1b2) ),
inference(resolution,[status(thm)],[c_58,c_123333]) ).
tff(c_123354,plain,
! [A_4231] :
( ( p3 = A_4231 )
| ~ incident(A_4231,a1a2)
| ~ incident(A_4231,b1b2) ),
inference(negUnitSimplification,[status(thm)],[c_116,c_123343]) ).
tff(c_123398,plain,
( ( p3 = a1 )
| ~ incident(a1,a1a2) ),
inference(resolution,[status(thm)],[c_123332,c_123354]) ).
tff(c_123409,plain,
p3 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_123398]) ).
tff(c_123370,plain,
! [A_4232] :
( ( p3 = A_4232 )
| ~ incident(A_4232,a1a2)
| ~ incident(A_4232,b1b2) ),
inference(negUnitSimplification,[status(thm)],[c_116,c_123343]) ).
tff(c_123395,plain,
( ( p3 = b1 )
| ~ incident(b1,a1a2) ),
inference(resolution,[status(thm)],[c_26,c_123370]) ).
tff(c_123430,plain,
( ( b1 = a1 )
| ~ incident(b1,a1a2) ),
inference(demodulation,[status(thm),theory(equality)],[c_123409,c_123395]) ).
tff(c_123431,plain,
~ incident(b1,a1a2),
inference(negUnitSimplification,[status(thm)],[c_123361,c_123430]) ).
tff(c_123832,plain,
! [A_4248] :
( ( s1 = b2b3 )
| ( a1 = A_4248 )
| ~ incident(A_4248,b2b3)
| ~ incident(A_4248,s1) ),
inference(resolution,[status(thm)],[c_44,c_123804]) ).
tff(c_124382,plain,
! [A_4248] :
( ( s1 = a1a2 )
| ( a1 = A_4248 )
| ~ incident(A_4248,a1a2)
| ~ incident(A_4248,s1) ),
inference(demodulation,[status(thm),theory(equality)],[c_123958,c_123958,c_123832]) ).
tff(c_124383,plain,
s1 = a1a2,
inference(splitLeft,[status(thm)],[c_124382]) ).
tff(c_124387,plain,
incident(b1,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_124383,c_50]) ).
tff(c_124392,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_123431,c_124387]) ).
tff(c_124396,plain,
! [A_4266] :
( ( a1 = A_4266 )
| ~ incident(A_4266,a1a2)
| ~ incident(A_4266,s1) ),
inference(splitRight,[status(thm)],[c_124382]) ).
tff(c_124399,plain,
( ( b3 = a1 )
| ~ incident(b3,a1a2) ),
inference(resolution,[status(thm)],[c_123752,c_124396]) ).
tff(c_124416,plain,
b3 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_123970,c_124399]) ).
tff(c_124418,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_123362,c_124416]) ).
tff(c_124489,plain,
! [A_4269] :
( ( a1 = A_4269 )
| ~ incident(A_4269,b2b3)
| ~ incident(A_4269,a1a2) ),
inference(splitRight,[status(thm)],[c_123829]) ).
tff(c_124492,plain,
( ( a2 = a1 )
| ~ incident(a2,a1a2) ),
inference(resolution,[status(thm)],[c_122705,c_124489]) ).
tff(c_124509,plain,
a2 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_124492]) ).
tff(c_124511,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_122,c_124509]) ).
tff(c_124537,plain,
! [A_4272] :
( ( b2 = A_4272 )
| ~ incident(A_4272,s2)
| ~ incident(A_4272,b2b3) ),
inference(splitRight,[status(thm)],[c_120644]) ).
tff(c_124566,plain,
( ( b2 = a2 )
| ~ incident(a2,b2b3) ),
inference(resolution,[status(thm)],[c_46,c_124537]) ).
tff(c_124594,plain,
~ incident(a2,b2b3),
inference(splitLeft,[status(thm)],[c_124566]) ).
tff(c_124596,plain,
~ incident(a2,a3a1),
inference(demodulation,[status(thm),theory(equality)],[c_124595,c_124594]) ).
tff(c_125358,plain,
~ incident(a2,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_125351,c_124596]) ).
tff(c_125371,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_125358]) ).
tff(c_125429,plain,
! [A_4304] :
( ( a1 = A_4304 )
| ~ incident(A_4304,a3a1)
| ~ incident(A_4304,a1a2) ),
inference(splitRight,[status(thm)],[c_125350]) ).
tff(c_125446,plain,
( ( a3 = a1 )
| ~ incident(a3,a1a2) ),
inference(resolution,[status(thm)],[c_22,c_125429]) ).
tff(c_125460,plain,
a3 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_124819,c_125446]) ).
tff(c_125462,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_120,c_125460]) ).
tff(c_125465,plain,
! [A_4305] :
( ( a1 = A_4305 )
| ~ incident(A_4305,b2b3)
| ~ incident(A_4305,a3a1) ),
inference(splitRight,[status(thm)],[c_124593]) ).
tff(c_125485,plain,
( ( b2 = a1 )
| ~ incident(b2,a3a1) ),
inference(resolution,[status(thm)],[c_30,c_125465]) ).
tff(c_125500,plain,
b2 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_120384,c_125485]) ).
tff(c_125528,plain,
incident(a1,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_125500,c_28]) ).
tff(c_125501,plain,
b2b3 = a1a2,
inference(splitLeft,[status(thm)],[c_124589]) ).
tff(c_125504,plain,
~ incident(a2,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_125501,c_124594]) ).
tff(c_125518,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_125504]) ).
tff(c_125683,plain,
! [A_4311] :
( ( a1 = A_4311 )
| ~ incident(A_4311,b2b3)
| ~ incident(A_4311,a1a2) ),
inference(splitRight,[status(thm)],[c_124589]) ).
tff(c_125697,plain,
( ( p1 = a1 )
| ~ incident(p1,a1a2) ),
inference(resolution,[status(thm)],[c_62,c_125683]) ).
tff(c_125713,plain,
p1 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_120263,c_125697]) ).
tff(c_125496,plain,
( ( p1 = a1 )
| ~ incident(p1,a3a1) ),
inference(resolution,[status(thm)],[c_62,c_125465]) ).
tff(c_125617,plain,
~ incident(p1,a3a1),
inference(splitLeft,[status(thm)],[c_125496]) ).
tff(c_125717,plain,
~ incident(a1,a3a1),
inference(demodulation,[status(thm),theory(equality)],[c_125713,c_125617]) ).
tff(c_125732,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_24,c_125717]) ).
tff(c_125733,plain,
p1 = a1,
inference(splitRight,[status(thm)],[c_125496]) ).
tff(c_125759,plain,
~ incident(a1,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_125733,c_120264]) ).
tff(c_125767,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_125528,c_125759]) ).
tff(c_125768,plain,
b2 = a2,
inference(splitRight,[status(thm)],[c_124566]) ).
tff(c_122671,plain,
( ( p1 = b2 )
| ~ incident(b2,a2a3) ),
inference(resolution,[status(thm)],[c_30,c_122638]) ).
tff(c_122674,plain,
~ incident(b2,a2a3),
inference(splitLeft,[status(thm)],[c_122671]) ).
tff(c_125771,plain,
~ incident(a2,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_125768,c_122674]) ).
tff(c_125783,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_18,c_125771]) ).
tff(c_125784,plain,
p1 = b2,
inference(splitRight,[status(thm)],[c_122671]) ).
tff(c_125793,plain,
~ incident(b2,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_125784,c_120264]) ).
tff(c_125800,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_28,c_125793]) ).
tff(c_125801,plain,
p1 = b3,
inference(splitRight,[status(thm)],[c_122670]) ).
tff(c_125832,plain,
incident(b3,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_125801,c_120263]) ).
tff(c_127496,plain,
! [C_4364,A_4365] :
( ( b2b3 = C_4364 )
| ( a1 = A_4365 )
| ~ incident(a1,C_4364)
| ~ incident(A_4365,b2b3)
| ~ incident(A_4365,C_4364) ),
inference(resolution,[status(thm)],[c_102984,c_120513]) ).
tff(c_127517,plain,
! [A_4365] :
( ( b2b3 = a1a2 )
| ( a1 = A_4365 )
| ~ incident(A_4365,b2b3)
| ~ incident(A_4365,a1a2) ),
inference(resolution,[status(thm)],[c_14,c_127496]) ).
tff(c_127525,plain,
b2b3 = a1a2,
inference(splitLeft,[status(thm)],[c_127517]) ).
tff(c_125802,plain,
incident(b3,a2a3),
inference(splitRight,[status(thm)],[c_122670]) ).
tff(c_126590,plain,
! [C_4336,A_4337] :
( ( b2b3 = C_4336 )
| ( a1 = A_4337 )
| ~ incident(a1,C_4336)
| ~ incident(A_4337,b2b3)
| ~ incident(A_4337,C_4336) ),
inference(resolution,[status(thm)],[c_102984,c_120513]) ).
tff(c_126612,plain,
! [A_4337] :
( ( b2b3 = a3a1 )
| ( a1 = A_4337 )
| ~ incident(A_4337,b2b3)
| ~ incident(A_4337,a3a1) ),
inference(resolution,[status(thm)],[c_24,c_126590]) ).
tff(c_126649,plain,
b2b3 = a3a1,
inference(splitLeft,[status(thm)],[c_126612]) ).
tff(c_126682,plain,
incident(b3,a3a1),
inference(demodulation,[status(thm),theory(equality)],[c_126649,c_32]) ).
tff(c_125894,plain,
( ( b3 = b2 )
| ~ incident(b2,a2a3) ),
inference(demodulation,[status(thm),theory(equality)],[c_125801,c_122671]) ).
tff(c_125895,plain,
~ incident(b2,a2a3),
inference(negUnitSimplification,[status(thm)],[c_118,c_125894]) ).
tff(c_125803,plain,
! [C_4312,A_4313] :
( ( a2a3 = C_4312 )
| ( a3 = A_4313 )
| ~ incident(a3,C_4312)
| ~ incident(A_4313,a2a3)
| ~ incident(A_4313,C_4312) ),
inference(resolution,[status(thm)],[c_20,c_120513]) ).
tff(c_125825,plain,
! [A_4313] :
( ( a3a1 = a2a3 )
| ( a3 = A_4313 )
| ~ incident(A_4313,a2a3)
| ~ incident(A_4313,a3a1) ),
inference(resolution,[status(thm)],[c_22,c_125803]) ).
tff(c_126578,plain,
a3a1 = a2a3,
inference(splitLeft,[status(thm)],[c_125825]) ).
tff(c_126580,plain,
incident(b2,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_126578,c_120384]) ).
tff(c_126587,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_125895,c_126580]) ).
tff(c_126588,plain,
! [A_4313] :
( ( a3 = A_4313 )
| ~ incident(A_4313,a2a3)
| ~ incident(A_4313,a3a1) ),
inference(splitRight,[status(thm)],[c_125825]) ).
tff(c_126698,plain,
( ( b3 = a3 )
| ~ incident(b3,a2a3) ),
inference(resolution,[status(thm)],[c_126682,c_126588]) ).
tff(c_126711,plain,
b3 = a3,
inference(demodulation,[status(thm),theory(equality)],[c_125802,c_126698]) ).
tff(c_126775,plain,
b1 != a3,
inference(demodulation,[status(thm),theory(equality)],[c_126711,c_117]) ).
tff(c_125896,plain,
! [C_4315,A_4316] :
( ( s1 = C_4315 )
| ( a1 = A_4316 )
| ~ incident(a1,C_4315)
| ~ incident(A_4316,s1)
| ~ incident(A_4316,C_4315) ),
inference(resolution,[status(thm)],[c_44,c_120513]) ).
tff(c_125918,plain,
! [A_4316] :
( ( s1 = b2b3 )
| ( a1 = A_4316 )
| ~ incident(A_4316,s1)
| ~ incident(A_4316,b2b3) ),
inference(resolution,[status(thm)],[c_102984,c_125896]) ).
tff(c_125953,plain,
s1 = b2b3,
inference(splitLeft,[status(thm)],[c_125918]) ).
tff(c_125958,plain,
incident(b1,b2b3),
inference(demodulation,[status(thm),theory(equality)],[c_125953,c_50]) ).
tff(c_126677,plain,
incident(b1,a3a1),
inference(demodulation,[status(thm),theory(equality)],[c_126649,c_125958]) ).
tff(c_126773,plain,
incident(a3,b3b1),
inference(demodulation,[status(thm),theory(equality)],[c_126711,c_34]) ).
tff(c_120609,plain,
! [C_4144,A_4146] :
( ( a3a1 = C_4144 )
| ( a3 = A_4146 )
| ~ incident(a3,C_4144)
| ~ incident(A_4146,a3a1)
| ~ incident(A_4146,C_4144) ),
inference(resolution,[status(thm)],[c_22,c_120513]) ).
tff(c_126836,plain,
! [A_4146] :
( ( b3b1 = a3a1 )
| ( a3 = A_4146 )
| ~ incident(A_4146,a3a1)
| ~ incident(A_4146,b3b1) ),
inference(resolution,[status(thm)],[c_126773,c_120609]) ).
tff(c_126856,plain,
! [A_4344] :
( ( a3 = A_4344 )
| ~ incident(A_4344,a3a1)
| ~ incident(A_4344,b3b1) ),
inference(negUnitSimplification,[status(thm)],[c_114,c_126836]) ).
tff(c_126876,plain,
( ( b1 = a3 )
| ~ incident(b1,a3a1) ),
inference(resolution,[status(thm)],[c_36,c_126856]) ).
tff(c_126895,plain,
b1 = a3,
inference(demodulation,[status(thm),theory(equality)],[c_126677,c_126876]) ).
tff(c_126897,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_126775,c_126895]) ).
tff(c_126900,plain,
! [A_4345] :
( ( a1 = A_4345 )
| ~ incident(A_4345,b2b3)
| ~ incident(A_4345,a3a1) ),
inference(splitRight,[status(thm)],[c_126612]) ).
tff(c_126920,plain,
( ( b2 = a1 )
| ~ incident(b2,a3a1) ),
inference(resolution,[status(thm)],[c_30,c_126900]) ).
tff(c_126935,plain,
b2 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_120384,c_126920]) ).
tff(c_126945,plain,
b3 != a1,
inference(demodulation,[status(thm),theory(equality)],[c_126935,c_118]) ).
tff(c_126941,plain,
incident(a1,s2),
inference(demodulation,[status(thm),theory(equality)],[c_126935,c_52]) ).
tff(c_126944,plain,
b1 != a1,
inference(demodulation,[status(thm),theory(equality)],[c_126935,c_119]) ).
tff(c_126609,plain,
! [A_4337] :
( ( b2b3 = a1a2 )
| ( a1 = A_4337 )
| ~ incident(A_4337,b2b3)
| ~ incident(A_4337,a1a2) ),
inference(resolution,[status(thm)],[c_14,c_126590]) ).
tff(c_127012,plain,
b2b3 = a1a2,
inference(splitLeft,[status(thm)],[c_126609]) ).
tff(c_127016,plain,
incident(b1,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_127012,c_125958]) ).
tff(c_127047,plain,
! [C_4348,A_4349] :
( ( a1a2 = C_4348 )
| ( a2 = A_4349 )
| ~ incident(a2,C_4348)
| ~ incident(A_4349,a1a2)
| ~ incident(A_4349,C_4348) ),
inference(resolution,[status(thm)],[c_16,c_120513]) ).
tff(c_127074,plain,
! [A_4349] :
( ( s2 = a1a2 )
| ( a2 = A_4349 )
| ~ incident(A_4349,a1a2)
| ~ incident(A_4349,s2) ),
inference(resolution,[status(thm)],[c_46,c_127047]) ).
tff(c_127274,plain,
s2 = a1a2,
inference(splitLeft,[status(thm)],[c_127074]) ).
tff(c_126937,plain,
! [A_4148] :
( ( a1 = A_4148 )
| ~ incident(A_4148,s2)
| ~ incident(A_4148,b1b2) ),
inference(demodulation,[status(thm),theory(equality)],[c_126935,c_122579]) ).
tff(c_127314,plain,
! [A_4358] :
( ( a1 = A_4358 )
| ~ incident(A_4358,a1a2)
| ~ incident(A_4358,b1b2) ),
inference(demodulation,[status(thm),theory(equality)],[c_127274,c_126937]) ).
tff(c_127331,plain,
( ( b1 = a1 )
| ~ incident(b1,a1a2) ),
inference(resolution,[status(thm)],[c_26,c_127314]) ).
tff(c_127347,plain,
b1 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_127016,c_127331]) ).
tff(c_127349,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_126944,c_127347]) ).
tff(c_127352,plain,
! [A_4359] :
( ( a2 = A_4359 )
| ~ incident(A_4359,a1a2)
| ~ incident(A_4359,s2) ),
inference(splitRight,[status(thm)],[c_127074]) ).
tff(c_127355,plain,
( ( a2 = a1 )
| ~ incident(a1,a1a2) ),
inference(resolution,[status(thm)],[c_126941,c_127352]) ).
tff(c_127369,plain,
a2 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_127355]) ).
tff(c_127371,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_122,c_127369]) ).
tff(c_127428,plain,
! [A_4362] :
( ( a1 = A_4362 )
| ~ incident(A_4362,b2b3)
| ~ incident(A_4362,a1a2) ),
inference(splitRight,[status(thm)],[c_126609]) ).
tff(c_127445,plain,
( ( b3 = a1 )
| ~ incident(b3,a1a2) ),
inference(resolution,[status(thm)],[c_32,c_127428]) ).
tff(c_127461,plain,
b3 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_125832,c_127445]) ).
tff(c_127463,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_126945,c_127461]) ).
tff(c_127466,plain,
! [A_4363] :
( ( a1 = A_4363 )
| ~ incident(A_4363,s1)
| ~ incident(A_4363,b2b3) ),
inference(splitRight,[status(thm)],[c_125918]) ).
tff(c_127490,plain,
( ( s = a1 )
| ~ incident(s,b2b3) ),
inference(resolution,[status(thm)],[c_38,c_127466]) ).
tff(c_127523,plain,
~ incident(s,b2b3),
inference(splitLeft,[status(thm)],[c_127490]) ).
tff(c_127554,plain,
~ incident(s,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_127525,c_127523]) ).
tff(c_127562,plain,
incident(b2,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_127525,c_30]) ).
tff(c_127522,plain,
! [A_4365] :
( ( b2b3 = a3a1 )
| ( a1 = A_4365 )
| ~ incident(A_4365,b2b3)
| ~ incident(A_4365,a3a1) ),
inference(resolution,[status(thm)],[c_24,c_127496]) ).
tff(c_128287,plain,
! [A_4365] :
( ( a3a1 = a1a2 )
| ( a1 = A_4365 )
| ~ incident(A_4365,a1a2)
| ~ incident(A_4365,a3a1) ),
inference(demodulation,[status(thm),theory(equality)],[c_127525,c_127525,c_127522]) ).
tff(c_128288,plain,
a3a1 = a1a2,
inference(splitLeft,[status(thm)],[c_128287]) ).
tff(c_127749,plain,
! [C_4373,A_4374] :
( ( b1b2 = C_4373 )
| ( b2 = A_4374 )
| ~ incident(b2,C_4373)
| ~ incident(A_4374,b1b2)
| ~ incident(A_4374,C_4373) ),
inference(resolution,[status(thm)],[c_28,c_120513]) ).
tff(c_127751,plain,
! [A_4374] :
( ( b1b2 = a1a2 )
| ( b2 = A_4374 )
| ~ incident(A_4374,b1b2)
| ~ incident(A_4374,a1a2) ),
inference(resolution,[status(thm)],[c_127562,c_127749]) ).
tff(c_127778,plain,
! [A_4375] :
( ( b2 = A_4375 )
| ~ incident(A_4375,b1b2)
| ~ incident(A_4375,a1a2) ),
inference(negUnitSimplification,[status(thm)],[c_116,c_127751]) ).
tff(c_127789,plain,
( ( p3 = b2 )
| ~ incident(p3,a1a2) ),
inference(resolution,[status(thm)],[c_58,c_127778]) ).
tff(c_127804,plain,
p3 = b2,
inference(demodulation,[status(thm),theory(equality)],[c_56,c_127789]) ).
tff(c_125826,plain,
! [A_4208] :
( ( b3 = A_4208 )
| ~ incident(A_4208,a2a3)
| ~ incident(A_4208,b2b3) ),
inference(demodulation,[status(thm),theory(equality)],[c_125801,c_122637]) ).
tff(c_127571,plain,
! [A_4368] :
( ( b3 = A_4368 )
| ~ incident(A_4368,a2a3)
| ~ incident(A_4368,a1a2) ),
inference(demodulation,[status(thm),theory(equality)],[c_127525,c_125826]) ).
tff(c_127585,plain,
( ( b3 = a2 )
| ~ incident(a2,a1a2) ),
inference(resolution,[status(thm)],[c_18,c_127571]) ).
tff(c_127601,plain,
b3 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_127585]) ).
tff(c_125835,plain,
! [A_1] :
( ~ incident(p2,A_1)
| ~ incident(b3,A_1)
| ~ incident(p3,A_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_125801,c_125]) ).
tff(c_127608,plain,
! [A_1] :
( ~ incident(p2,A_1)
| ~ incident(a2,A_1)
| ~ incident(p3,A_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_127601,c_125835]) ).
tff(c_127824,plain,
! [A_4376] :
( ~ incident(p2,A_4376)
| ~ incident(a2,A_4376)
| ~ incident(b2,A_4376) ),
inference(demodulation,[status(thm),theory(equality)],[c_127804,c_127608]) ).
tff(c_127835,plain,
( ~ incident(a2,a3a1)
| ~ incident(b2,a3a1) ),
inference(resolution,[status(thm)],[c_64,c_127824]) ).
tff(c_127847,plain,
~ incident(a2,a3a1),
inference(demodulation,[status(thm),theory(equality)],[c_120384,c_127835]) ).
tff(c_128291,plain,
~ incident(a2,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_128288,c_127847]) ).
tff(c_128300,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_128291]) ).
tff(c_128303,plain,
! [A_4391] :
( ( a1 = A_4391 )
| ~ incident(A_4391,a1a2)
| ~ incident(A_4391,a3a1) ),
inference(splitRight,[status(thm)],[c_128287]) ).
tff(c_128314,plain,
( ( b2 = a1 )
| ~ incident(b2,a1a2) ),
inference(resolution,[status(thm)],[c_120384,c_128303]) ).
tff(c_128332,plain,
b2 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_127562,c_128314]) ).
tff(c_128668,plain,
! [A_4148] :
( ( s2 = a1a2 )
| ( a1 = A_4148 )
| ~ incident(A_4148,s2)
| ~ incident(A_4148,a1a2) ),
inference(demodulation,[status(thm),theory(equality)],[c_127525,c_128332,c_127525,c_120644]) ).
tff(c_128669,plain,
s2 = a1a2,
inference(splitLeft,[status(thm)],[c_128668]) ).
tff(c_128707,plain,
incident(s,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_128669,c_40]) ).
tff(c_128712,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_127554,c_128707]) ).
tff(c_128715,plain,
! [A_4404] :
( ( a1 = A_4404 )
| ~ incident(A_4404,s2)
| ~ incident(A_4404,a1a2) ),
inference(splitRight,[status(thm)],[c_128668]) ).
tff(c_128732,plain,
( ( a2 = a1 )
| ~ incident(a2,a1a2) ),
inference(resolution,[status(thm)],[c_46,c_128715]) ).
tff(c_128746,plain,
a2 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_128732]) ).
tff(c_128748,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_122,c_128746]) ).
tff(c_128876,plain,
! [A_4408] :
( ( a1 = A_4408 )
| ~ incident(A_4408,b2b3)
| ~ incident(A_4408,a1a2) ),
inference(splitRight,[status(thm)],[c_127517]) ).
tff(c_128890,plain,
( ( b3 = a1 )
| ~ incident(b3,a1a2) ),
inference(resolution,[status(thm)],[c_32,c_128876]) ).
tff(c_128906,plain,
b3 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_125832,c_128890]) ).
tff(c_128914,plain,
incident(a1,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_128906,c_125802]) ).
tff(c_128924,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_122672,c_128914]) ).
tff(c_128925,plain,
s = a1,
inference(splitRight,[status(thm)],[c_127490]) ).
tff(c_122609,plain,
( ( s = b2 )
| ~ incident(s,b1b2) ),
inference(resolution,[status(thm)],[c_40,c_122581]) ).
tff(c_122611,plain,
~ incident(s,b1b2),
inference(splitLeft,[status(thm)],[c_122609]) ).
tff(c_128953,plain,
~ incident(a1,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_128925,c_122611]) ).
tff(c_128988,plain,
b2b3 = a1a2,
inference(splitLeft,[status(thm)],[c_127517]) ).
tff(c_128997,plain,
incident(b2,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_128988,c_30]) ).
tff(c_129137,plain,
! [C_4414,A_4415] :
( ( a3a1 = C_4414 )
| ( a1 = A_4415 )
| ~ incident(a1,C_4414)
| ~ incident(A_4415,a3a1)
| ~ incident(A_4415,C_4414) ),
inference(resolution,[status(thm)],[c_24,c_120513]) ).
tff(c_129162,plain,
! [A_4415] :
( ( a3a1 = a1a2 )
| ( a1 = A_4415 )
| ~ incident(A_4415,a3a1)
| ~ incident(A_4415,a1a2) ),
inference(resolution,[status(thm)],[c_14,c_129137]) ).
tff(c_129406,plain,
a3a1 = a1a2,
inference(splitLeft,[status(thm)],[c_129162]) ).
tff(c_129413,plain,
incident(p2,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_129406,c_64]) ).
tff(c_129420,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_120262,c_129413]) ).
tff(c_129422,plain,
a3a1 != a1a2,
inference(splitRight,[status(thm)],[c_129162]) ).
tff(c_129423,plain,
! [A_4365] :
( ( a3a1 = a1a2 )
| ( a1 = A_4365 )
| ~ incident(A_4365,a1a2)
| ~ incident(A_4365,a3a1) ),
inference(demodulation,[status(thm),theory(equality)],[c_128988,c_128988,c_127522]) ).
tff(c_129425,plain,
! [A_4425] :
( ( a1 = A_4425 )
| ~ incident(A_4425,a1a2)
| ~ incident(A_4425,a3a1) ),
inference(negUnitSimplification,[status(thm)],[c_129422,c_129423]) ).
tff(c_129436,plain,
( ( b2 = a1 )
| ~ incident(b2,a1a2) ),
inference(resolution,[status(thm)],[c_120384,c_129425]) ).
tff(c_129454,plain,
b2 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_128997,c_129436]) ).
tff(c_129470,plain,
incident(a1,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_129454,c_28]) ).
tff(c_129477,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_128953,c_129470]) ).
tff(c_129529,plain,
! [A_4428] :
( ( a1 = A_4428 )
| ~ incident(A_4428,b2b3)
| ~ incident(A_4428,a1a2) ),
inference(splitRight,[status(thm)],[c_127517]) ).
tff(c_129543,plain,
( ( b3 = a1 )
| ~ incident(b3,a1a2) ),
inference(resolution,[status(thm)],[c_32,c_129529]) ).
tff(c_129559,plain,
b3 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_125832,c_129543]) ).
tff(c_129588,plain,
incident(a1,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_129559,c_125802]) ).
tff(c_129597,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_122672,c_129588]) ).
tff(c_129598,plain,
p1 = a1,
inference(splitRight,[status(thm)],[c_122665]) ).
tff(c_129623,plain,
! [A_4208] :
( ( a1 = A_4208 )
| ~ incident(A_4208,a2a3)
| ~ incident(A_4208,b2b3) ),
inference(demodulation,[status(thm),theory(equality)],[c_129598,c_122637]) ).
tff(c_130686,plain,
! [A_4470] :
( ( a1 = A_4470 )
| ~ incident(A_4470,a2a3)
| ~ incident(A_4470,a3a1) ),
inference(demodulation,[status(thm),theory(equality)],[c_130669,c_129623]) ).
tff(c_130703,plain,
( ( a3 = a1 )
| ~ incident(a3,a2a3) ),
inference(resolution,[status(thm)],[c_22,c_130686]) ).
tff(c_130717,plain,
a3 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_20,c_130703]) ).
tff(c_130719,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_120,c_130717]) ).
tff(c_130749,plain,
! [A_4473] :
( ( a1 = A_4473 )
| ~ incident(A_4473,b2b3)
| ~ incident(A_4473,a3a1) ),
inference(splitRight,[status(thm)],[c_130595]) ).
tff(c_130766,plain,
( ( b2 = a1 )
| ~ incident(b2,a3a1) ),
inference(resolution,[status(thm)],[c_30,c_130749]) ).
tff(c_130782,plain,
b2 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_120384,c_130766]) ).
tff(c_130312,plain,
! [C_4455,A_4456] :
( ( s1 = C_4455 )
| ( s = A_4456 )
| ~ incident(s,C_4455)
| ~ incident(A_4456,s1)
| ~ incident(A_4456,C_4455) ),
inference(resolution,[status(thm)],[c_38,c_120513]) ).
tff(c_130333,plain,
! [A_4456] :
( ( s2 = s1 )
| ( s = A_4456 )
| ~ incident(A_4456,s1)
| ~ incident(A_4456,s2) ),
inference(resolution,[status(thm)],[c_40,c_130312]) ).
tff(c_130391,plain,
s2 = s1,
inference(splitLeft,[status(thm)],[c_130333]) ).
tff(c_130464,plain,
! [A_4461] :
( ( b2 = A_4461 )
| ~ incident(A_4461,s1)
| ~ incident(A_4461,b1b2) ),
inference(demodulation,[status(thm),theory(equality)],[c_130391,c_122579]) ).
tff(c_130487,plain,
( ( b2 = b1 )
| ~ incident(b1,b1b2) ),
inference(resolution,[status(thm)],[c_50,c_130464]) ).
tff(c_130503,plain,
b2 = b1,
inference(demodulation,[status(thm),theory(equality)],[c_26,c_130487]) ).
tff(c_130505,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_119,c_130503]) ).
tff(c_130535,plain,
! [A_4464] :
( ( s = A_4464 )
| ~ incident(A_4464,s1)
| ~ incident(A_4464,s2) ),
inference(splitRight,[status(thm)],[c_130333]) ).
tff(c_130559,plain,
( ( s = b2 )
| ~ incident(b2,s1) ),
inference(resolution,[status(thm)],[c_52,c_130535]) ).
tff(c_130565,plain,
~ incident(b2,s1),
inference(splitLeft,[status(thm)],[c_130559]) ).
tff(c_130784,plain,
~ incident(a1,s1),
inference(demodulation,[status(thm),theory(equality)],[c_130782,c_130565]) ).
tff(c_130798,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_44,c_130784]) ).
tff(c_130799,plain,
s = b2,
inference(splitRight,[status(thm)],[c_130559]) ).
tff(c_130833,plain,
~ incident(b2,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_130799,c_122611]) ).
tff(c_130840,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_28,c_130833]) ).
tff(c_130841,plain,
s = b2,
inference(splitRight,[status(thm)],[c_122609]) ).
tff(c_130844,plain,
incident(b2,s1),
inference(demodulation,[status(thm),theory(equality)],[c_130841,c_38]) ).
tff(c_130921,plain,
! [C_4478,A_4479] :
( ( b2b3 = C_4478 )
| ( a1 = A_4479 )
| ~ incident(a1,C_4478)
| ~ incident(A_4479,b2b3)
| ~ incident(A_4479,C_4478) ),
inference(resolution,[status(thm)],[c_102984,c_120513]) ).
tff(c_130945,plain,
! [A_4479] :
( ( s1 = b2b3 )
| ( a1 = A_4479 )
| ~ incident(A_4479,b2b3)
| ~ incident(A_4479,s1) ),
inference(resolution,[status(thm)],[c_44,c_130921]) ).
tff(c_131712,plain,
s1 = b2b3,
inference(splitLeft,[status(thm)],[c_130945]) ).
tff(c_131717,plain,
incident(b1,b2b3),
inference(demodulation,[status(thm),theory(equality)],[c_131712,c_50]) ).
tff(c_130947,plain,
! [A_4148] :
( ( b2 = A_4148 )
| ~ incident(A_4148,b2b3)
| ~ incident(A_4148,b1b2) ),
inference(demodulation,[status(thm),theory(equality)],[c_130920,c_122579]) ).
tff(c_131727,plain,
( ( b2 = b1 )
| ~ incident(b1,b1b2) ),
inference(resolution,[status(thm)],[c_131717,c_130947]) ).
tff(c_131738,plain,
b2 = b1,
inference(demodulation,[status(thm),theory(equality)],[c_26,c_131727]) ).
tff(c_131740,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_119,c_131738]) ).
tff(c_131790,plain,
! [A_4503] :
( ( a1 = A_4503 )
| ~ incident(A_4503,b2b3)
| ~ incident(A_4503,s1) ),
inference(splitRight,[status(thm)],[c_130945]) ).
tff(c_131793,plain,
( ( b2 = a1 )
| ~ incident(b2,b2b3) ),
inference(resolution,[status(thm)],[c_130844,c_131790]) ).
tff(c_131810,plain,
b2 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_30,c_131793]) ).
tff(c_131829,plain,
incident(a1,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_131810,c_28]) ).
tff(c_131837,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_131035,c_131829]) ).
tff(c_131838,plain,
b2 = a1,
inference(splitRight,[status(thm)],[c_131003]) ).
tff(c_131850,plain,
b3 != a1,
inference(demodulation,[status(thm),theory(equality)],[c_131838,c_118]) ).
tff(c_130846,plain,
incident(b2,s3),
inference(demodulation,[status(thm),theory(equality)],[c_130841,c_42]) ).
tff(c_131842,plain,
incident(a1,s3),
inference(demodulation,[status(thm),theory(equality)],[c_131838,c_130846]) ).
tff(c_130942,plain,
! [A_4479] :
( ( b2b3 = a1a2 )
| ( a1 = A_4479 )
| ~ incident(A_4479,b2b3)
| ~ incident(A_4479,a1a2) ),
inference(resolution,[status(thm)],[c_14,c_130921]) ).
tff(c_131957,plain,
b2b3 = a1a2,
inference(splitLeft,[status(thm)],[c_130942]) ).
tff(c_131968,plain,
a2a3 != a1a2,
inference(demodulation,[status(thm),theory(equality)],[c_131957,c_115]) ).
tff(c_132096,plain,
! [C_4511,A_4512] :
( ( a1a2 = C_4511 )
| ( a2 = A_4512 )
| ~ incident(a2,C_4511)
| ~ incident(A_4512,a1a2)
| ~ incident(A_4512,C_4511) ),
inference(resolution,[status(thm)],[c_16,c_120513]) ).
tff(c_132106,plain,
! [A_4512] :
( ( a2a3 = a1a2 )
| ( a2 = A_4512 )
| ~ incident(A_4512,a1a2)
| ~ incident(A_4512,a2a3) ),
inference(resolution,[status(thm)],[c_18,c_132096]) ).
tff(c_132121,plain,
! [A_4513] :
( ( a2 = A_4513 )
| ~ incident(A_4513,a1a2)
| ~ incident(A_4513,a2a3) ),
inference(negUnitSimplification,[status(thm)],[c_131968,c_132106]) ).
tff(c_132135,plain,
( ( a3 = a2 )
| ~ incident(a3,a1a2) ),
inference(resolution,[status(thm)],[c_20,c_132121]) ).
tff(c_132151,plain,
~ incident(a3,a1a2),
inference(negUnitSimplification,[status(thm)],[c_121,c_132135]) ).
tff(c_131012,plain,
! [C_4481,A_4482] :
( ( s3 = C_4481 )
| ( b3 = A_4482 )
| ~ incident(b3,C_4481)
| ~ incident(A_4482,s3)
| ~ incident(A_4482,C_4481) ),
inference(resolution,[status(thm)],[c_54,c_120513]) ).
tff(c_131033,plain,
! [A_4482] :
( ( s3 = b2b3 )
| ( b3 = A_4482 )
| ~ incident(A_4482,s3)
| ~ incident(A_4482,b2b3) ),
inference(resolution,[status(thm)],[c_32,c_131012]) ).
tff(c_132197,plain,
! [A_4482] :
( ( s3 = a1a2 )
| ( b3 = A_4482 )
| ~ incident(A_4482,s3)
| ~ incident(A_4482,a1a2) ),
inference(demodulation,[status(thm),theory(equality)],[c_131957,c_131957,c_131033]) ).
tff(c_132198,plain,
s3 = a1a2,
inference(splitLeft,[status(thm)],[c_132197]) ).
tff(c_132225,plain,
incident(a3,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_132198,c_48]) ).
tff(c_132230,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_132151,c_132225]) ).
tff(c_132233,plain,
! [A_4517] :
( ( b3 = A_4517 )
| ~ incident(A_4517,s3)
| ~ incident(A_4517,a1a2) ),
inference(splitRight,[status(thm)],[c_132197]) ).
tff(c_132236,plain,
( ( b3 = a1 )
| ~ incident(a1,a1a2) ),
inference(resolution,[status(thm)],[c_131842,c_132233]) ).
tff(c_132253,plain,
b3 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_132236]) ).
tff(c_132255,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_131850,c_132253]) ).
tff(c_132337,plain,
! [A_4521] :
( ( a1 = A_4521 )
| ~ incident(A_4521,b2b3)
| ~ incident(A_4521,a1a2) ),
inference(splitRight,[status(thm)],[c_130942]) ).
tff(c_132340,plain,
( ( a2 = a1 )
| ~ incident(a2,a1a2) ),
inference(resolution,[status(thm)],[c_130952,c_132337]) ).
tff(c_132360,plain,
a2 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_132340]) ).
tff(c_132362,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_122,c_132360]) ).
tff(c_132391,plain,
! [A_4524] :
( ( b2 = A_4524 )
| ~ incident(A_4524,s2)
| ~ incident(A_4524,b2b3) ),
inference(splitRight,[status(thm)],[c_120644]) ).
tff(c_132416,plain,
( ( b2 = a2 )
| ~ incident(a2,b2b3) ),
inference(resolution,[status(thm)],[c_46,c_132391]) ).
tff(c_132417,plain,
~ incident(a2,b2b3),
inference(splitLeft,[status(thm)],[c_132416]) ).
tff(c_132442,plain,
~ incident(a2,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_132418,c_132417]) ).
tff(c_132454,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_132442]) ).
tff(c_132457,plain,
! [A_4527] :
( ( a1 = A_4527 )
| ~ incident(A_4527,b2b3)
| ~ incident(A_4527,a1a2) ),
inference(splitRight,[status(thm)],[c_132386]) ).
tff(c_132471,plain,
( ( p1 = a1 )
| ~ incident(p1,a1a2) ),
inference(resolution,[status(thm)],[c_62,c_132457]) ).
tff(c_132490,plain,
p1 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_120263,c_132471]) ).
tff(c_132510,plain,
~ incident(a1,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_132490,c_120264]) ).
tff(c_132513,plain,
incident(a1,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_132490,c_60]) ).
tff(c_132390,plain,
! [A_4523] :
( ( b2b3 = a3a1 )
| ( a1 = A_4523 )
| ~ incident(A_4523,b2b3)
| ~ incident(A_4523,a3a1) ),
inference(resolution,[status(thm)],[c_24,c_132365]) ).
tff(c_132623,plain,
b2b3 = a3a1,
inference(splitLeft,[status(thm)],[c_132390]) ).
tff(c_120596,plain,
! [C_4144,A_4146] :
( ( b2b3 = C_4144 )
| ( a1 = A_4146 )
| ~ incident(a1,C_4144)
| ~ incident(A_4146,b2b3)
| ~ incident(A_4146,C_4144) ),
inference(resolution,[status(thm)],[c_102984,c_120513]) ).
tff(c_132540,plain,
! [A_4146] :
( ( b2b3 = a2a3 )
| ( a1 = A_4146 )
| ~ incident(A_4146,b2b3)
| ~ incident(A_4146,a2a3) ),
inference(resolution,[status(thm)],[c_132513,c_120596]) ).
tff(c_132551,plain,
! [A_4146] :
( ( a1 = A_4146 )
| ~ incident(A_4146,b2b3)
| ~ incident(A_4146,a2a3) ),
inference(negUnitSimplification,[status(thm)],[c_115,c_132540]) ).
tff(c_132825,plain,
! [A_4537] :
( ( a1 = A_4537 )
| ~ incident(A_4537,a3a1)
| ~ incident(A_4537,a2a3) ),
inference(demodulation,[status(thm),theory(equality)],[c_132623,c_132551]) ).
tff(c_132848,plain,
( ( a3 = a1 )
| ~ incident(a3,a2a3) ),
inference(resolution,[status(thm)],[c_22,c_132825]) ).
tff(c_132864,plain,
a3 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_20,c_132848]) ).
tff(c_132866,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_120,c_132864]) ).
tff(c_132869,plain,
! [A_4538] :
( ( a1 = A_4538 )
| ~ incident(A_4538,b2b3)
| ~ incident(A_4538,a3a1) ),
inference(splitRight,[status(thm)],[c_132390]) ).
tff(c_132889,plain,
( ( b2 = a1 )
| ~ incident(b2,a3a1) ),
inference(resolution,[status(thm)],[c_30,c_132869]) ).
tff(c_132904,plain,
b2 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_120384,c_132889]) ).
tff(c_132560,plain,
! [A_4528] :
( ( a1 = A_4528 )
| ~ incident(A_4528,b2b3)
| ~ incident(A_4528,a2a3) ),
inference(negUnitSimplification,[status(thm)],[c_115,c_132540]) ).
tff(c_132593,plain,
( ( b2 = a1 )
| ~ incident(b2,a2a3) ),
inference(resolution,[status(thm)],[c_30,c_132560]) ).
tff(c_132597,plain,
~ incident(b2,a2a3),
inference(splitLeft,[status(thm)],[c_132593]) ).
tff(c_132913,plain,
~ incident(a1,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_132904,c_132597]) ).
tff(c_132930,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_132513,c_132913]) ).
tff(c_132931,plain,
b2 = a1,
inference(splitRight,[status(thm)],[c_132593]) ).
tff(c_132492,plain,
( ( b2 = a1 )
| ~ incident(b2,a1a2) ),
inference(resolution,[status(thm)],[c_30,c_132457]) ).
tff(c_132558,plain,
~ incident(b2,a1a2),
inference(splitLeft,[status(thm)],[c_132492]) ).
tff(c_132933,plain,
~ incident(a1,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_132931,c_132558]) ).
tff(c_132949,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_132933]) ).
tff(c_132950,plain,
b2 = a1,
inference(splitRight,[status(thm)],[c_132492]) ).
tff(c_132961,plain,
incident(a1,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_132950,c_28]) ).
tff(c_132968,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_132510,c_132961]) ).
tff(c_132969,plain,
b2 = a2,
inference(splitRight,[status(thm)],[c_132416]) ).
tff(c_132981,plain,
incident(a2,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_132969,c_28]) ).
tff(c_132988,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_130919,c_132981]) ).
tff(c_132989,plain,
b2 = a2,
inference(splitRight,[status(thm)],[c_122610]) ).
tff(c_133000,plain,
incident(a2,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_132989,c_28]) ).
tff(c_133001,plain,
incident(a2,b2b3),
inference(demodulation,[status(thm),theory(equality)],[c_132989,c_30]) ).
tff(c_120593,plain,
! [C_4144,A_4146] :
( ( a2a3 = C_4144 )
| ( a2 = A_4146 )
| ~ incident(a2,C_4144)
| ~ incident(A_4146,a2a3)
| ~ incident(A_4146,C_4144) ),
inference(resolution,[status(thm)],[c_18,c_120513]) ).
tff(c_133155,plain,
! [A_4146] :
( ( b2b3 = a2a3 )
| ( a2 = A_4146 )
| ~ incident(A_4146,a2a3)
| ~ incident(A_4146,b2b3) ),
inference(resolution,[status(thm)],[c_133001,c_120593]) ).
tff(c_133194,plain,
! [A_4547] :
( ( a2 = A_4547 )
| ~ incident(A_4547,a2a3)
| ~ incident(A_4547,b2b3) ),
inference(negUnitSimplification,[status(thm)],[c_115,c_133155]) ).
tff(c_133211,plain,
( ( p1 = a2 )
| ~ incident(p1,a2a3) ),
inference(resolution,[status(thm)],[c_62,c_133194]) ).
tff(c_133230,plain,
p1 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_60,c_133211]) ).
tff(c_133239,plain,
~ incident(a2,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_133230,c_120264]) ).
tff(c_133247,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_133000,c_133239]) ).
tff(c_133249,plain,
incident(p1,b1b2),
inference(splitRight,[status(thm)],[c_102990]) ).
tff(c_136516,plain,
incident(a1,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_136494,c_133249]) ).
tff(c_136587,plain,
! [C_4659,A_4660] :
( ( b1b2 = C_4659 )
| ( p3 = A_4660 )
| ~ incident(p3,C_4659)
| ~ incident(A_4660,b1b2)
| ~ incident(A_4660,C_4659) ),
inference(resolution,[status(thm)],[c_58,c_133508]) ).
tff(c_136595,plain,
! [A_4660] :
( ( b1b2 = a1a2 )
| ( p3 = A_4660 )
| ~ incident(A_4660,b1b2)
| ~ incident(A_4660,a1a2) ),
inference(resolution,[status(thm)],[c_56,c_136587]) ).
tff(c_136609,plain,
! [A_4661] :
( ( p3 = A_4661 )
| ~ incident(A_4661,b1b2)
| ~ incident(A_4661,a1a2) ),
inference(negUnitSimplification,[status(thm)],[c_116,c_136595]) ).
tff(c_136612,plain,
( ( p3 = a1 )
| ~ incident(a1,a1a2) ),
inference(resolution,[status(thm)],[c_136516,c_136609]) ).
tff(c_136632,plain,
p3 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_136612]) ).
tff(c_103090,plain,
point(p3),
inference(resolution,[status(thm)],[c_58,c_102995]) ).
tff(c_133477,plain,
! [B_4561,A_4562] :
( incident(B_4561,'#skF_1'(A_4562,B_4561))
| ~ point(B_4561)
| ~ point(A_4562) ),
inference(cnfTransformation,[status(thm)],[f_162]) ).
tff(c_133421,plain,
! [A_4550,B_4551] :
( incident(A_4550,'#skF_1'(A_4550,B_4551))
| ~ point(B_4551)
| ~ point(A_4550) ),
inference(cnfTransformation,[status(thm)],[f_162]) ).
tff(c_133431,plain,
! [B_4551] :
( ~ incident(p2,'#skF_1'(p3,B_4551))
| ~ incident(p1,'#skF_1'(p3,B_4551))
| ~ point(B_4551)
| ~ point(p3) ),
inference(resolution,[status(thm)],[c_133421,c_125]) ).
tff(c_133436,plain,
! [B_4551] :
( ~ incident(p2,'#skF_1'(p3,B_4551))
| ~ incident(p1,'#skF_1'(p3,B_4551))
| ~ point(B_4551) ),
inference(demodulation,[status(thm),theory(equality)],[c_103090,c_133431]) ).
tff(c_133481,plain,
( ~ incident(p1,'#skF_1'(p3,p2))
| ~ point(p2)
| ~ point(p3) ),
inference(resolution,[status(thm)],[c_133477,c_133436]) ).
tff(c_133494,plain,
~ incident(p1,'#skF_1'(p3,p2)),
inference(demodulation,[status(thm),theory(equality)],[c_103090,c_103081,c_133481]) ).
tff(c_136514,plain,
~ incident(a1,'#skF_1'(p3,p2)),
inference(demodulation,[status(thm),theory(equality)],[c_136494,c_133494]) ).
tff(c_136646,plain,
~ incident(a1,'#skF_1'(a1,p2)),
inference(demodulation,[status(thm),theory(equality)],[c_136632,c_136514]) ).
tff(c_136664,plain,
( ~ point(p2)
| ~ point(a1) ),
inference(resolution,[status(thm)],[c_107,c_136646]) ).
tff(c_136668,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_103096,c_103081,c_136664]) ).
tff(c_137093,plain,
! [A_4676] :
( ( a1 = A_4676 )
| ~ incident(A_4676,b2b3)
| ~ incident(A_4676,a3a1) ),
inference(splitRight,[status(thm)],[c_134444]) ).
tff(c_137113,plain,
( ( b2 = a1 )
| ~ incident(b2,a3a1) ),
inference(resolution,[status(thm)],[c_30,c_137093]) ).
tff(c_137128,plain,
b2 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_133393,c_137113]) ).
tff(c_137132,plain,
incident(a1,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_137128,c_28]) ).
tff(c_137497,plain,
! [C_4688,A_4689] :
( ( a1a2 = C_4688 )
| ( p3 = A_4689 )
| ~ incident(p3,C_4688)
| ~ incident(A_4689,a1a2)
| ~ incident(A_4689,C_4688) ),
inference(resolution,[status(thm)],[c_56,c_133508]) ).
tff(c_137507,plain,
! [A_4689] :
( ( b1b2 = a1a2 )
| ( p3 = A_4689 )
| ~ incident(A_4689,a1a2)
| ~ incident(A_4689,b1b2) ),
inference(resolution,[status(thm)],[c_58,c_137497]) ).
tff(c_137519,plain,
! [A_4690] :
( ( p3 = A_4690 )
| ~ incident(A_4690,a1a2)
| ~ incident(A_4690,b1b2) ),
inference(negUnitSimplification,[status(thm)],[c_116,c_137507]) ).
tff(c_137522,plain,
( ( p3 = a1 )
| ~ incident(a1,a1a2) ),
inference(resolution,[status(thm)],[c_137132,c_137519]) ).
tff(c_137539,plain,
p3 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_137522]) ).
tff(c_103101,plain,
point(a2),
inference(resolution,[status(thm)],[c_46,c_102995]) ).
tff(c_136726,plain,
b2b3 = a1a2,
inference(splitLeft,[status(thm)],[c_134440]) ).
tff(c_136736,plain,
a2a3 != a1a2,
inference(demodulation,[status(thm),theory(equality)],[c_136726,c_115]) ).
tff(c_136757,plain,
! [C_4665,A_4666] :
( ( a2a3 = C_4665 )
| ( a2 = A_4666 )
| ~ incident(a2,C_4665)
| ~ incident(A_4666,a2a3)
| ~ incident(A_4666,C_4665) ),
inference(resolution,[status(thm)],[c_18,c_133508]) ).
tff(c_136769,plain,
! [A_4666] :
( ( a2a3 = a1a2 )
| ( a2 = A_4666 )
| ~ incident(A_4666,a2a3)
| ~ incident(A_4666,a1a2) ),
inference(resolution,[status(thm)],[c_16,c_136757]) ).
tff(c_136801,plain,
! [A_4667] :
( ( a2 = A_4667 )
| ~ incident(A_4667,a2a3)
| ~ incident(A_4667,a1a2) ),
inference(negUnitSimplification,[status(thm)],[c_136736,c_136769]) ).
tff(c_136818,plain,
( ( p1 = a2 )
| ~ incident(p1,a1a2) ),
inference(resolution,[status(thm)],[c_60,c_136801]) ).
tff(c_136834,plain,
p1 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_120263,c_136818]) ).
tff(c_136839,plain,
incident(a2,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_136834,c_133249]) ).
tff(c_136872,plain,
! [C_4668,A_4669] :
( ( b1b2 = C_4668 )
| ( p3 = A_4669 )
| ~ incident(p3,C_4668)
| ~ incident(A_4669,b1b2)
| ~ incident(A_4669,C_4668) ),
inference(resolution,[status(thm)],[c_58,c_133508]) ).
tff(c_136880,plain,
! [A_4669] :
( ( b1b2 = a1a2 )
| ( p3 = A_4669 )
| ~ incident(A_4669,b1b2)
| ~ incident(A_4669,a1a2) ),
inference(resolution,[status(thm)],[c_56,c_136872]) ).
tff(c_136894,plain,
! [A_4670] :
( ( p3 = A_4670 )
| ~ incident(A_4670,b1b2)
| ~ incident(A_4670,a1a2) ),
inference(negUnitSimplification,[status(thm)],[c_116,c_136880]) ).
tff(c_136897,plain,
( ( p3 = a2 )
| ~ incident(a2,a1a2) ),
inference(resolution,[status(thm)],[c_136839,c_136894]) ).
tff(c_136917,plain,
p3 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_136897]) ).
tff(c_136735,plain,
incident(b2,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_136726,c_30]) ).
tff(c_136914,plain,
( ( p3 = b2 )
| ~ incident(b2,a1a2) ),
inference(resolution,[status(thm)],[c_28,c_136894]) ).
tff(c_136931,plain,
p3 = b2,
inference(demodulation,[status(thm),theory(equality)],[c_136735,c_136914]) ).
tff(c_136978,plain,
b2 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_136917,c_136931]) ).
tff(c_133491,plain,
! [A_4562] :
( ~ incident(p2,'#skF_1'(A_4562,p3))
| ~ incident(p1,'#skF_1'(A_4562,p3))
| ~ point(p3)
| ~ point(A_4562) ),
inference(resolution,[status(thm)],[c_133477,c_125]) ).
tff(c_133500,plain,
! [A_4563] :
( ~ incident(p2,'#skF_1'(A_4563,p3))
| ~ incident(p1,'#skF_1'(A_4563,p3))
| ~ point(A_4563) ),
inference(demodulation,[status(thm),theory(equality)],[c_103090,c_133491]) ).
tff(c_133504,plain,
( ~ incident(p1,'#skF_1'(p2,p3))
| ~ point(p3)
| ~ point(p2) ),
inference(resolution,[status(thm)],[c_107,c_133500]) ).
tff(c_133507,plain,
~ incident(p1,'#skF_1'(p2,p3)),
inference(demodulation,[status(thm),theory(equality)],[c_103081,c_103090,c_133504]) ).
tff(c_136835,plain,
~ incident(a2,'#skF_1'(p2,p3)),
inference(demodulation,[status(thm),theory(equality)],[c_136834,c_133507]) ).
tff(c_136935,plain,
~ incident(a2,'#skF_1'(p2,b2)),
inference(demodulation,[status(thm),theory(equality)],[c_136931,c_136835]) ).
tff(c_137043,plain,
~ incident(a2,'#skF_1'(p2,a2)),
inference(demodulation,[status(thm),theory(equality)],[c_136978,c_136935]) ).
tff(c_137046,plain,
( ~ point(a2)
| ~ point(p2) ),
inference(resolution,[status(thm)],[c_105,c_137043]) ).
tff(c_137050,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_103081,c_103101,c_137046]) ).
tff(c_137302,plain,
! [A_4683] :
( ( a1 = A_4683 )
| ~ incident(A_4683,b2b3)
| ~ incident(A_4683,a1a2) ),
inference(splitRight,[status(thm)],[c_134440]) ).
tff(c_137316,plain,
( ( p1 = a1 )
| ~ incident(p1,a1a2) ),
inference(resolution,[status(thm)],[c_62,c_137302]) ).
tff(c_137332,plain,
p1 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_120263,c_137316]) ).
tff(c_137124,plain,
( ( p1 = a1 )
| ~ incident(p1,a3a1) ),
inference(resolution,[status(thm)],[c_62,c_137093]) ).
tff(c_137176,plain,
~ incident(p1,a3a1),
inference(splitLeft,[status(thm)],[c_137124]) ).
tff(c_137338,plain,
~ incident(a1,a3a1),
inference(demodulation,[status(thm),theory(equality)],[c_137332,c_137176]) ).
tff(c_137351,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_24,c_137338]) ).
tff(c_137352,plain,
p1 = a1,
inference(splitRight,[status(thm)],[c_137124]) ).
tff(c_137372,plain,
~ incident(a1,'#skF_1'(p3,p2)),
inference(demodulation,[status(thm),theory(equality)],[c_137352,c_133494]) ).
tff(c_137553,plain,
~ incident(a1,'#skF_1'(a1,p2)),
inference(demodulation,[status(thm),theory(equality)],[c_137539,c_137372]) ).
tff(c_137567,plain,
( ~ point(p2)
| ~ point(a1) ),
inference(resolution,[status(thm)],[c_107,c_137553]) ).
tff(c_137571,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_103096,c_103081,c_137567]) ).
tff(c_137572,plain,
~ incident(a2,b3b1),
inference(splitRight,[status(thm)],[c_102983]) ).
tff(c_137729,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_137572,c_102985,c_10]) ).
tff(c_137731,plain,
incident(b1,a2a3),
inference(splitRight,[status(thm)],[c_123]) ).
tff(c_138672,plain,
! [C_4735,A_4736] :
( ( a2a3 = C_4735 )
| ( b1 = A_4736 )
| ~ incident(b1,C_4735)
| ~ incident(A_4736,a2a3)
| ~ incident(A_4736,C_4735) ),
inference(resolution,[status(thm)],[c_137731,c_138100]) ).
tff(c_138693,plain,
! [A_4736] :
( ( b1b2 = a2a3 )
| ( b1 = A_4736 )
| ~ incident(A_4736,a2a3)
| ~ incident(A_4736,b1b2) ),
inference(resolution,[status(thm)],[c_26,c_138672]) ).
tff(c_138731,plain,
b1b2 = a2a3,
inference(splitLeft,[status(thm)],[c_138693]) ).
tff(c_137740,plain,
( ~ incident(p2,b1b2)
| ~ incident(p1,b1b2) ),
inference(resolution,[status(thm)],[c_58,c_125]) ).
tff(c_137985,plain,
~ incident(p1,b1b2),
inference(splitLeft,[status(thm)],[c_137740]) ).
tff(c_138762,plain,
~ incident(p1,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_138731,c_137985]) ).
tff(c_138771,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_60,c_138762]) ).
tff(c_138774,plain,
! [A_4740] :
( ( b1 = A_4740 )
| ~ incident(A_4740,a2a3)
| ~ incident(A_4740,b1b2) ),
inference(splitRight,[status(thm)],[c_138693]) ).
tff(c_138777,plain,
( ( b1 = a2 )
| ~ incident(a2,a2a3) ),
inference(resolution,[status(thm)],[c_138234,c_138774]) ).
tff(c_138797,plain,
b1 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_18,c_138777]) ).
tff(c_138307,plain,
! [C_4720,A_4721] :
( ( a1a2 = C_4720 )
| ( p3 = A_4721 )
| ~ incident(p3,C_4720)
| ~ incident(A_4721,a1a2)
| ~ incident(A_4721,C_4720) ),
inference(resolution,[status(thm)],[c_56,c_138100]) ).
tff(c_138315,plain,
! [A_4721] :
( ( b1b2 = a1a2 )
| ( p3 = A_4721 )
| ~ incident(A_4721,a1a2)
| ~ incident(A_4721,b1b2) ),
inference(resolution,[status(thm)],[c_58,c_138307]) ).
tff(c_138329,plain,
! [A_4722] :
( ( p3 = A_4722 )
| ~ incident(A_4722,a1a2)
| ~ incident(A_4722,b1b2) ),
inference(negUnitSimplification,[status(thm)],[c_116,c_138315]) ).
tff(c_138332,plain,
( ( p3 = a2 )
| ~ incident(a2,a1a2) ),
inference(resolution,[status(thm)],[c_138234,c_138329]) ).
tff(c_138355,plain,
p3 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_138332]) ).
tff(c_138367,plain,
( ( p3 = b1 )
| ~ incident(b1,a1a2) ),
inference(resolution,[status(thm)],[c_26,c_138329]) ).
tff(c_138386,plain,
( ( b1 = a2 )
| ~ incident(b1,a1a2) ),
inference(demodulation,[status(thm),theory(equality)],[c_138355,c_138367]) ).
tff(c_138387,plain,
~ incident(b1,a1a2),
inference(splitLeft,[status(thm)],[c_138386]) ).
tff(c_138815,plain,
~ incident(a2,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_138797,c_138387]) ).
tff(c_138825,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_138815]) ).
tff(c_138826,plain,
b1 = a2,
inference(splitRight,[status(thm)],[c_138386]) ).
tff(c_138834,plain,
b3 != a2,
inference(demodulation,[status(thm),theory(equality)],[c_138826,c_117]) ).
tff(c_138832,plain,
incident(a2,b3b1),
inference(demodulation,[status(thm),theory(equality)],[c_138826,c_36]) ).
tff(c_138831,plain,
incident(a2,s1),
inference(demodulation,[status(thm),theory(equality)],[c_138826,c_50]) ).
tff(c_138233,plain,
incident(s,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_138229,c_40]) ).
tff(c_138356,plain,
( ( s = p3 )
| ~ incident(s,a1a2) ),
inference(resolution,[status(thm)],[c_138233,c_138329]) ).
tff(c_138934,plain,
( ( s = a2 )
| ~ incident(s,a1a2) ),
inference(demodulation,[status(thm),theory(equality)],[c_138355,c_138356]) ).
tff(c_138935,plain,
~ incident(s,a1a2),
inference(splitLeft,[status(thm)],[c_138934]) ).
tff(c_138936,plain,
! [C_4744,A_4745] :
( ( s1 = C_4744 )
| ( a1 = A_4745 )
| ~ incident(a1,C_4744)
| ~ incident(A_4745,s1)
| ~ incident(A_4745,C_4744) ),
inference(resolution,[status(thm)],[c_44,c_138100]) ).
tff(c_138957,plain,
! [A_4745] :
( ( s1 = a1a2 )
| ( a1 = A_4745 )
| ~ incident(A_4745,s1)
| ~ incident(A_4745,a1a2) ),
inference(resolution,[status(thm)],[c_14,c_138936]) ).
tff(c_139507,plain,
s1 = a1a2,
inference(splitLeft,[status(thm)],[c_138957]) ).
tff(c_139543,plain,
incident(s,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_139507,c_38]) ).
tff(c_139548,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_138935,c_139543]) ).
tff(c_139551,plain,
! [A_4768] :
( ( a1 = A_4768 )
| ~ incident(A_4768,s1)
| ~ incident(A_4768,a1a2) ),
inference(splitRight,[status(thm)],[c_138957]) ).
tff(c_139554,plain,
( ( a2 = a1 )
| ~ incident(a2,a1a2) ),
inference(resolution,[status(thm)],[c_138831,c_139551]) ).
tff(c_139571,plain,
a2 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_139554]) ).
tff(c_139573,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_122,c_139571]) ).
tff(c_139574,plain,
s = a2,
inference(splitRight,[status(thm)],[c_138934]) ).
tff(c_139579,plain,
incident(a2,s3),
inference(demodulation,[status(thm),theory(equality)],[c_139574,c_42]) ).
tff(c_140305,plain,
! [C_4793,A_4794] :
( ( s3 = C_4793 )
| ( b3 = A_4794 )
| ~ incident(b3,C_4793)
| ~ incident(A_4794,s3)
| ~ incident(A_4794,C_4793) ),
inference(resolution,[status(thm)],[c_54,c_138100]) ).
tff(c_140330,plain,
! [A_4794] :
( ( s3 = b3b1 )
| ( b3 = A_4794 )
| ~ incident(A_4794,s3)
| ~ incident(A_4794,b3b1) ),
inference(resolution,[status(thm)],[c_34,c_140305]) ).
tff(c_140653,plain,
s3 = b3b1,
inference(splitLeft,[status(thm)],[c_140330]) ).
tff(c_140661,plain,
incident(a3,b3b1),
inference(demodulation,[status(thm),theory(equality)],[c_140653,c_48]) ).
tff(c_139694,plain,
! [C_4773,A_4774] :
( ( a3a1 = C_4773 )
| ( p2 = A_4774 )
| ~ incident(p2,C_4773)
| ~ incident(A_4774,a3a1)
| ~ incident(A_4774,C_4773) ),
inference(resolution,[status(thm)],[c_64,c_138100]) ).
tff(c_139704,plain,
! [A_4774] :
( ( b3b1 = a3a1 )
| ( p2 = A_4774 )
| ~ incident(A_4774,a3a1)
| ~ incident(A_4774,b3b1) ),
inference(resolution,[status(thm)],[c_66,c_139694]) ).
tff(c_139717,plain,
! [A_4775] :
( ( p2 = A_4775 )
| ~ incident(A_4775,a3a1)
| ~ incident(A_4775,b3b1) ),
inference(negUnitSimplification,[status(thm)],[c_114,c_139704]) ).
tff(c_139746,plain,
( ( p2 = b3 )
| ~ incident(b3,a3a1) ),
inference(resolution,[status(thm)],[c_34,c_139717]) ).
tff(c_139747,plain,
~ incident(b3,a3a1),
inference(splitLeft,[status(thm)],[c_139746]) ).
tff(c_137998,plain,
incident(b2,a3a1),
inference(negUnitSimplification,[status(thm)],[c_137975,c_12]) ).
tff(c_138241,plain,
! [C_4718,A_4719] :
( ( b2b3 = C_4718 )
| ( a1 = A_4719 )
| ~ incident(a1,C_4718)
| ~ incident(A_4719,b2b3)
| ~ incident(A_4719,C_4718) ),
inference(resolution,[status(thm)],[c_102984,c_138100]) ).
tff(c_138266,plain,
! [A_4719] :
( ( b2b3 = a3a1 )
| ( a1 = A_4719 )
| ~ incident(A_4719,b2b3)
| ~ incident(A_4719,a3a1) ),
inference(resolution,[status(thm)],[c_24,c_138241]) ).
tff(c_140109,plain,
b2b3 = a3a1,
inference(splitLeft,[status(thm)],[c_138266]) ).
tff(c_139760,plain,
! [C_4776,A_4777] :
( ( b2b3 = C_4776 )
| ( b3 = A_4777 )
| ~ incident(b3,C_4776)
| ~ incident(A_4777,b2b3)
| ~ incident(A_4777,C_4776) ),
inference(resolution,[status(thm)],[c_32,c_138100]) ).
tff(c_139782,plain,
! [A_4777] :
( ( b3b1 = b2b3 )
| ( b3 = A_4777 )
| ~ incident(A_4777,b2b3)
| ~ incident(A_4777,b3b1) ),
inference(resolution,[status(thm)],[c_34,c_139760]) ).
tff(c_139959,plain,
b3b1 = b2b3,
inference(splitLeft,[status(thm)],[c_139782]) ).
tff(c_139630,plain,
! [A_4771] :
( ~ incident(p2,A_4771)
| ~ incident(p1,A_4771)
| ~ incident(a2,A_4771) ),
inference(demodulation,[status(thm),theory(equality)],[c_138355,c_125]) ).
tff(c_139644,plain,
( ~ incident(p1,b3b1)
| ~ incident(a2,b3b1) ),
inference(resolution,[status(thm)],[c_66,c_139630]) ).
tff(c_139654,plain,
~ incident(p1,b3b1),
inference(demodulation,[status(thm),theory(equality)],[c_138832,c_139644]) ).
tff(c_139961,plain,
~ incident(p1,b2b3),
inference(demodulation,[status(thm),theory(equality)],[c_139959,c_139654]) ).
tff(c_139969,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_62,c_139961]) ).
tff(c_139996,plain,
! [A_4784] :
( ( b3 = A_4784 )
| ~ incident(A_4784,b2b3)
| ~ incident(A_4784,b3b1) ),
inference(splitRight,[status(thm)],[c_139782]) ).
tff(c_140022,plain,
( ( p2 = b3 )
| ~ incident(p2,b2b3) ),
inference(resolution,[status(thm)],[c_66,c_139996]) ).
tff(c_140027,plain,
~ incident(p2,b2b3),
inference(splitLeft,[status(thm)],[c_140022]) ).
tff(c_140110,plain,
~ incident(p2,a3a1),
inference(demodulation,[status(thm),theory(equality)],[c_140109,c_140027]) ).
tff(c_140131,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_64,c_140110]) ).
tff(c_140134,plain,
! [A_4788] :
( ( a1 = A_4788 )
| ~ incident(A_4788,b2b3)
| ~ incident(A_4788,a3a1) ),
inference(splitRight,[status(thm)],[c_138266]) ).
tff(c_140154,plain,
( ( b2 = a1 )
| ~ incident(b2,a3a1) ),
inference(resolution,[status(thm)],[c_30,c_140134]) ).
tff(c_140169,plain,
b2 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_137998,c_140154]) ).
tff(c_138833,plain,
b2 != a2,
inference(demodulation,[status(thm),theory(equality)],[c_138826,c_119]) ).
tff(c_138368,plain,
( ( p3 = b2 )
| ~ incident(b2,a1a2) ),
inference(resolution,[status(thm)],[c_28,c_138329]) ).
tff(c_138901,plain,
( ( b2 = a2 )
| ~ incident(b2,a1a2) ),
inference(demodulation,[status(thm),theory(equality)],[c_138355,c_138368]) ).
tff(c_138902,plain,
~ incident(b2,a1a2),
inference(negUnitSimplification,[status(thm)],[c_138833,c_138901]) ).
tff(c_140172,plain,
~ incident(a1,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_140169,c_138902]) ).
tff(c_140181,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_140172]) ).
tff(c_140182,plain,
p2 = b3,
inference(splitRight,[status(thm)],[c_140022]) ).
tff(c_140190,plain,
incident(b3,a3a1),
inference(demodulation,[status(thm),theory(equality)],[c_140182,c_64]) ).
tff(c_140194,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_139747,c_140190]) ).
tff(c_140195,plain,
p2 = b3,
inference(splitRight,[status(thm)],[c_139746]) ).
tff(c_139715,plain,
! [A_4774] :
( ( p2 = A_4774 )
| ~ incident(A_4774,a3a1)
| ~ incident(A_4774,b3b1) ),
inference(negUnitSimplification,[status(thm)],[c_114,c_139704]) ).
tff(c_140220,plain,
! [A_4774] :
( ( b3 = A_4774 )
| ~ incident(A_4774,a3a1)
| ~ incident(A_4774,b3b1) ),
inference(demodulation,[status(thm),theory(equality)],[c_140195,c_139715]) ).
tff(c_140701,plain,
( ( b3 = a3 )
| ~ incident(a3,a3a1) ),
inference(resolution,[status(thm)],[c_140661,c_140220]) ).
tff(c_140713,plain,
b3 = a3,
inference(demodulation,[status(thm),theory(equality)],[c_22,c_140701]) ).
tff(c_138378,plain,
! [A_1] :
( ~ incident(p2,A_1)
| ~ incident(p1,A_1)
| ~ incident(a2,A_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_138355,c_125]) ).
tff(c_140278,plain,
! [A_4792] :
( ~ incident(b3,A_4792)
| ~ incident(p1,A_4792)
| ~ incident(a2,A_4792) ),
inference(demodulation,[status(thm),theory(equality)],[c_140195,c_138378]) ).
tff(c_140289,plain,
( ~ incident(b3,a2a3)
| ~ incident(a2,a2a3) ),
inference(resolution,[status(thm)],[c_60,c_140278]) ).
tff(c_140301,plain,
~ incident(b3,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_18,c_140289]) ).
tff(c_140720,plain,
~ incident(a3,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_140713,c_140301]) ).
tff(c_140737,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_20,c_140720]) ).
tff(c_140740,plain,
! [A_4808] :
( ( b3 = A_4808 )
| ~ incident(A_4808,s3)
| ~ incident(A_4808,b3b1) ),
inference(splitRight,[status(thm)],[c_140330]) ).
tff(c_140743,plain,
( ( b3 = a2 )
| ~ incident(a2,b3b1) ),
inference(resolution,[status(thm)],[c_139579,c_140740]) ).
tff(c_140760,plain,
b3 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_138832,c_140743]) ).
tff(c_140762,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_138834,c_140760]) ).
tff(c_140791,plain,
! [A_4811] :
( ( b2 = A_4811 )
| ~ incident(A_4811,s2)
| ~ incident(A_4811,b1b2) ),
inference(splitRight,[status(thm)],[c_138227]) ).
tff(c_140820,plain,
( ( b2 = a2 )
| ~ incident(a2,b1b2) ),
inference(resolution,[status(thm)],[c_46,c_140791]) ).
tff(c_144256,plain,
~ incident(a2,b1b2),
inference(splitLeft,[status(thm)],[c_140820]) ).
tff(c_141015,plain,
! [C_4818,A_4819] :
( ( a3a1 = C_4818 )
| ( p2 = A_4819 )
| ~ incident(p2,C_4818)
| ~ incident(A_4819,a3a1)
| ~ incident(A_4819,C_4818) ),
inference(resolution,[status(thm)],[c_64,c_138100]) ).
tff(c_141025,plain,
! [A_4819] :
( ( b3b1 = a3a1 )
| ( p2 = A_4819 )
| ~ incident(A_4819,a3a1)
| ~ incident(A_4819,b3b1) ),
inference(resolution,[status(thm)],[c_66,c_141015]) ).
tff(c_141037,plain,
! [A_4820] :
( ( p2 = A_4820 )
| ~ incident(A_4820,a3a1)
| ~ incident(A_4820,b3b1) ),
inference(negUnitSimplification,[status(thm)],[c_114,c_141025]) ).
tff(c_141066,plain,
( ( p2 = b3 )
| ~ incident(b3,a3a1) ),
inference(resolution,[status(thm)],[c_34,c_141037]) ).
tff(c_141068,plain,
~ incident(b3,a3a1),
inference(splitLeft,[status(thm)],[c_141066]) ).
tff(c_140765,plain,
! [C_4809,A_4810] :
( ( b2b3 = C_4809 )
| ( a1 = A_4810 )
| ~ incident(a1,C_4809)
| ~ incident(A_4810,b2b3)
| ~ incident(A_4810,C_4809) ),
inference(resolution,[status(thm)],[c_102984,c_138100]) ).
tff(c_140790,plain,
! [A_4810] :
( ( b2b3 = a3a1 )
| ( a1 = A_4810 )
| ~ incident(A_4810,b2b3)
| ~ incident(A_4810,a3a1) ),
inference(resolution,[status(thm)],[c_24,c_140765]) ).
tff(c_141401,plain,
b2b3 = a3a1,
inference(splitLeft,[status(thm)],[c_140790]) ).
tff(c_141408,plain,
incident(b3,a3a1),
inference(demodulation,[status(thm),theory(equality)],[c_141401,c_32]) ).
tff(c_141414,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_141068,c_141408]) ).
tff(c_141443,plain,
! [A_4830] :
( ( a1 = A_4830 )
| ~ incident(A_4830,b2b3)
| ~ incident(A_4830,a3a1) ),
inference(splitRight,[status(thm)],[c_140790]) ).
tff(c_141463,plain,
( ( b2 = a1 )
| ~ incident(b2,a3a1) ),
inference(resolution,[status(thm)],[c_30,c_141443]) ).
tff(c_141478,plain,
b2 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_137998,c_141463]) ).
tff(c_137736,plain,
( ~ incident(p2,a1a2)
| ~ incident(p1,a1a2) ),
inference(resolution,[status(thm)],[c_56,c_125]) ).
tff(c_137994,plain,
~ incident(p1,a1a2),
inference(splitLeft,[status(thm)],[c_137736]) ).
tff(c_140786,plain,
! [A_4810] :
( ( b2b3 = a1a2 )
| ( a1 = A_4810 )
| ~ incident(A_4810,b2b3)
| ~ incident(A_4810,a1a2) ),
inference(resolution,[status(thm)],[c_14,c_140765]) ).
tff(c_140849,plain,
b2b3 = a1a2,
inference(splitLeft,[status(thm)],[c_140786]) ).
tff(c_140853,plain,
incident(p1,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_140849,c_62]) ).
tff(c_140860,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_137994,c_140853]) ).
tff(c_140886,plain,
! [A_4816] :
( ( a1 = A_4816 )
| ~ incident(A_4816,b2b3)
| ~ incident(A_4816,a1a2) ),
inference(splitRight,[status(thm)],[c_140786]) ).
tff(c_140919,plain,
( ( b2 = a1 )
| ~ incident(b2,a1a2) ),
inference(resolution,[status(thm)],[c_30,c_140886]) ).
tff(c_140920,plain,
~ incident(b2,a1a2),
inference(splitLeft,[status(thm)],[c_140919]) ).
tff(c_141479,plain,
~ incident(a1,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_141478,c_140920]) ).
tff(c_141491,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_141479]) ).
tff(c_141493,plain,
incident(b3,a3a1),
inference(splitRight,[status(thm)],[c_141066]) ).
tff(c_141696,plain,
b2b3 = a3a1,
inference(splitLeft,[status(thm)],[c_140790]) ).
tff(c_138228,plain,
! [A_4717] :
( ( s2 = b2b3 )
| ( b2 = A_4717 )
| ~ incident(A_4717,s2)
| ~ incident(A_4717,b2b3) ),
inference(resolution,[status(thm)],[c_30,c_138203]) ).
tff(c_141793,plain,
! [A_4717] :
( ( s2 = a3a1 )
| ( b2 = A_4717 )
| ~ incident(A_4717,s2)
| ~ incident(A_4717,a3a1) ),
inference(demodulation,[status(thm),theory(equality)],[c_141696,c_141696,c_138228]) ).
tff(c_141794,plain,
s2 = a3a1,
inference(splitLeft,[status(thm)],[c_141793]) ).
tff(c_141804,plain,
incident(a2,a3a1),
inference(demodulation,[status(thm),theory(equality)],[c_141794,c_46]) ).
tff(c_140861,plain,
! [A_4810] :
( ( a1 = A_4810 )
| ~ incident(A_4810,b2b3)
| ~ incident(A_4810,a1a2) ),
inference(splitRight,[status(thm)],[c_140786]) ).
tff(c_141697,plain,
! [A_4810] :
( ( a1 = A_4810 )
| ~ incident(A_4810,a3a1)
| ~ incident(A_4810,a1a2) ),
inference(demodulation,[status(thm),theory(equality)],[c_141696,c_140861]) ).
tff(c_141845,plain,
( ( a2 = a1 )
| ~ incident(a2,a1a2) ),
inference(resolution,[status(thm)],[c_141804,c_141697]) ).
tff(c_141858,plain,
a2 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_141845]) ).
tff(c_141860,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_122,c_141858]) ).
tff(c_141890,plain,
! [A_4844] :
( ( b2 = A_4844 )
| ~ incident(A_4844,s2)
| ~ incident(A_4844,a3a1) ),
inference(splitRight,[status(thm)],[c_141793]) ).
tff(c_141918,plain,
( ( s = b2 )
| ~ incident(s,a3a1) ),
inference(resolution,[status(thm)],[c_40,c_141890]) ).
tff(c_141920,plain,
~ incident(s,a3a1),
inference(splitLeft,[status(thm)],[c_141918]) ).
tff(c_141642,plain,
! [C_4836,A_4837] :
( ( s3 = C_4836 )
| ( a3 = A_4837 )
| ~ incident(a3,C_4836)
| ~ incident(A_4837,s3)
| ~ incident(A_4837,C_4836) ),
inference(resolution,[status(thm)],[c_48,c_138100]) ).
tff(c_141664,plain,
! [A_4837] :
( ( s3 = a3a1 )
| ( a3 = A_4837 )
| ~ incident(A_4837,s3)
| ~ incident(A_4837,a3a1) ),
inference(resolution,[status(thm)],[c_22,c_141642]) ).
tff(c_143221,plain,
s3 = a3a1,
inference(splitLeft,[status(thm)],[c_141664]) ).
tff(c_143230,plain,
incident(s,a3a1),
inference(demodulation,[status(thm),theory(equality)],[c_143221,c_42]) ).
tff(c_143235,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_141920,c_143230]) ).
tff(c_143262,plain,
! [A_4891] :
( ( a3 = A_4891 )
| ~ incident(A_4891,s3)
| ~ incident(A_4891,a3a1) ),
inference(splitRight,[status(thm)],[c_141664]) ).
tff(c_143273,plain,
( ( b3 = a3 )
| ~ incident(b3,a3a1) ),
inference(resolution,[status(thm)],[c_54,c_143262]) ).
tff(c_143288,plain,
b3 = a3,
inference(demodulation,[status(thm),theory(equality)],[c_141493,c_143273]) ).
tff(c_137834,plain,
point(p3),
inference(resolution,[status(thm)],[c_56,c_137741]) ).
tff(c_137843,plain,
point(a3),
inference(resolution,[status(thm)],[c_48,c_137741]) ).
tff(c_141727,plain,
! [C_4839,A_4840] :
( ( b3b1 = C_4839 )
| ( b1 = A_4840 )
| ~ incident(b1,C_4839)
| ~ incident(A_4840,b3b1)
| ~ incident(A_4840,C_4839) ),
inference(resolution,[status(thm)],[c_36,c_138100]) ).
tff(c_141749,plain,
! [A_4840] :
( ( b3b1 = a2a3 )
| ( b1 = A_4840 )
| ~ incident(A_4840,b3b1)
| ~ incident(A_4840,a2a3) ),
inference(resolution,[status(thm)],[c_137731,c_141727]) ).
tff(c_141921,plain,
b3b1 = a2a3,
inference(splitLeft,[status(thm)],[c_141749]) ).
tff(c_141492,plain,
p2 = b3,
inference(splitRight,[status(thm)],[c_141066]) ).
tff(c_141036,plain,
! [A_4819] :
( ( p2 = A_4819 )
| ~ incident(A_4819,a3a1)
| ~ incident(A_4819,b3b1) ),
inference(negUnitSimplification,[status(thm)],[c_114,c_141025]) ).
tff(c_141494,plain,
! [A_4819] :
( ( b3 = A_4819 )
| ~ incident(A_4819,a3a1)
| ~ incident(A_4819,b3b1) ),
inference(demodulation,[status(thm),theory(equality)],[c_141492,c_141036]) ).
tff(c_141971,plain,
! [A_4847] :
( ( b3 = A_4847 )
| ~ incident(A_4847,a3a1)
| ~ incident(A_4847,a2a3) ),
inference(demodulation,[status(thm),theory(equality)],[c_141921,c_141494]) ).
tff(c_141991,plain,
( ( b3 = a3 )
| ~ incident(a3,a2a3) ),
inference(resolution,[status(thm)],[c_22,c_141971]) ).
tff(c_142012,plain,
b3 = a3,
inference(demodulation,[status(thm),theory(equality)],[c_20,c_141991]) ).
tff(c_141702,plain,
incident(p1,a3a1),
inference(demodulation,[status(thm),theory(equality)],[c_141696,c_62]) ).
tff(c_141974,plain,
( ( p1 = b3 )
| ~ incident(p1,a2a3) ),
inference(resolution,[status(thm)],[c_141702,c_141971]) ).
tff(c_141997,plain,
p1 = b3,
inference(demodulation,[status(thm),theory(equality)],[c_60,c_141974]) ).
tff(c_142038,plain,
p1 = a3,
inference(demodulation,[status(thm),theory(equality)],[c_142012,c_141997]) ).
tff(c_138060,plain,
! [A_4707,B_4708] :
( incident(A_4707,'#skF_1'(A_4707,B_4708))
| ~ point(B_4708)
| ~ point(A_4707) ),
inference(cnfTransformation,[status(thm)],[f_162]) ).
tff(c_138074,plain,
! [B_4708] :
( ~ incident(p2,'#skF_1'(p3,B_4708))
| ~ incident(p1,'#skF_1'(p3,B_4708))
| ~ point(B_4708)
| ~ point(p3) ),
inference(resolution,[status(thm)],[c_138060,c_125]) ).
tff(c_138092,plain,
! [B_4711] :
( ~ incident(p2,'#skF_1'(p3,B_4711))
| ~ incident(p1,'#skF_1'(p3,B_4711))
| ~ point(B_4711) ),
inference(demodulation,[status(thm),theory(equality)],[c_137834,c_138074]) ).
tff(c_138096,plain,
( ~ incident(p1,'#skF_1'(p3,p2))
| ~ point(p2)
| ~ point(p3) ),
inference(resolution,[status(thm)],[c_105,c_138092]) ).
tff(c_138099,plain,
~ incident(p1,'#skF_1'(p3,p2)),
inference(demodulation,[status(thm),theory(equality)],[c_137834,c_137850,c_138096]) ).
tff(c_141496,plain,
~ incident(p1,'#skF_1'(p3,b3)),
inference(demodulation,[status(thm),theory(equality)],[c_141492,c_138099]) ).
tff(c_142018,plain,
~ incident(p1,'#skF_1'(p3,a3)),
inference(demodulation,[status(thm),theory(equality)],[c_142012,c_141496]) ).
tff(c_142051,plain,
~ incident(a3,'#skF_1'(p3,a3)),
inference(demodulation,[status(thm),theory(equality)],[c_142038,c_142018]) ).
tff(c_142054,plain,
( ~ point(a3)
| ~ point(p3) ),
inference(resolution,[status(thm)],[c_105,c_142051]) ).
tff(c_142058,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_137834,c_137843,c_142054]) ).
tff(c_142088,plain,
! [A_4850] :
( ( b1 = A_4850 )
| ~ incident(A_4850,b3b1)
| ~ incident(A_4850,a2a3) ),
inference(splitRight,[status(thm)],[c_141749]) ).
tff(c_142102,plain,
( ( b3 = b1 )
| ~ incident(b3,a2a3) ),
inference(resolution,[status(thm)],[c_34,c_142088]) ).
tff(c_142115,plain,
~ incident(b3,a2a3),
inference(negUnitSimplification,[status(thm)],[c_117,c_142102]) ).
tff(c_143307,plain,
~ incident(a3,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_143288,c_142115]) ).
tff(c_143319,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_20,c_143307]) ).
tff(c_143320,plain,
s = b2,
inference(splitRight,[status(thm)],[c_141918]) ).
tff(c_140819,plain,
( ( s = b2 )
| ~ incident(s,b1b2) ),
inference(resolution,[status(thm)],[c_40,c_140791]) ).
tff(c_140821,plain,
~ incident(s,b1b2),
inference(splitLeft,[status(thm)],[c_140819]) ).
tff(c_143337,plain,
~ incident(b2,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_143320,c_140821]) ).
tff(c_143344,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_28,c_143337]) ).
tff(c_143347,plain,
! [A_4892] :
( ( a1 = A_4892 )
| ~ incident(A_4892,b2b3)
| ~ incident(A_4892,a3a1) ),
inference(splitRight,[status(thm)],[c_140790]) ).
tff(c_143364,plain,
( ( b3 = a1 )
| ~ incident(b3,a3a1) ),
inference(resolution,[status(thm)],[c_32,c_143347]) ).
tff(c_143381,plain,
b3 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_141493,c_143364]) ).
tff(c_137730,plain,
( ~ incident(b2,a3a1)
| ~ incident(b3,a1a2) ),
inference(splitRight,[status(thm)],[c_123]) ).
tff(c_137978,plain,
~ incident(b3,a1a2),
inference(splitLeft,[status(thm)],[c_137730]) ).
tff(c_143413,plain,
~ incident(a1,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_143381,c_137978]) ).
tff(c_143423,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_143413]) ).
tff(c_143424,plain,
b2 = a1,
inference(splitRight,[status(thm)],[c_140919]) ).
tff(c_143431,plain,
incident(a1,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_143424,c_28]) ).
tff(c_143430,plain,
incident(a1,s2),
inference(demodulation,[status(thm),theory(equality)],[c_143424,c_52]) ).
tff(c_140848,plain,
~ incident(a2,b1b2),
inference(splitLeft,[status(thm)],[c_140820]) ).
tff(c_140863,plain,
! [C_4814,A_4815] :
( ( s1 = C_4814 )
| ( s = A_4815 )
| ~ incident(s,C_4814)
| ~ incident(A_4815,s1)
| ~ incident(A_4815,C_4814) ),
inference(resolution,[status(thm)],[c_38,c_138100]) ).
tff(c_140884,plain,
! [A_4815] :
( ( s2 = s1 )
| ( s = A_4815 )
| ~ incident(A_4815,s1)
| ~ incident(A_4815,s2) ),
inference(resolution,[status(thm)],[c_40,c_140863]) ).
tff(c_143697,plain,
s2 = s1,
inference(splitLeft,[status(thm)],[c_140884]) ).
tff(c_143703,plain,
incident(a2,s1),
inference(demodulation,[status(thm),theory(equality)],[c_143697,c_46]) ).
tff(c_143433,plain,
b1 != a1,
inference(demodulation,[status(thm),theory(equality)],[c_143424,c_119]) ).
tff(c_140822,plain,
! [C_4812,A_4813] :
( ( a2a3 = C_4812 )
| ( b1 = A_4813 )
| ~ incident(b1,C_4812)
| ~ incident(A_4813,a2a3)
| ~ incident(A_4813,C_4812) ),
inference(resolution,[status(thm)],[c_137731,c_138100]) ).
tff(c_140843,plain,
! [A_4813] :
( ( b1b2 = a2a3 )
| ( b1 = A_4813 )
| ~ incident(A_4813,a2a3)
| ~ incident(A_4813,b1b2) ),
inference(resolution,[status(thm)],[c_26,c_140822]) ).
tff(c_143711,plain,
b1b2 = a2a3,
inference(splitLeft,[status(thm)],[c_140843]) ).
tff(c_143713,plain,
~ incident(a2,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_143711,c_140848]) ).
tff(c_143723,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_18,c_143713]) ).
tff(c_143746,plain,
! [A_4902] :
( ( b1 = A_4902 )
| ~ incident(A_4902,a2a3)
| ~ incident(A_4902,b1b2) ),
inference(splitRight,[status(thm)],[c_140843]) ).
tff(c_143749,plain,
( ( b1 = a1 )
| ~ incident(a1,a2a3) ),
inference(resolution,[status(thm)],[c_143431,c_143746]) ).
tff(c_143766,plain,
~ incident(a1,a2a3),
inference(negUnitSimplification,[status(thm)],[c_143433,c_143749]) ).
tff(c_140846,plain,
! [A_4813] :
( ( s1 = a2a3 )
| ( b1 = A_4813 )
| ~ incident(A_4813,a2a3)
| ~ incident(A_4813,s1) ),
inference(resolution,[status(thm)],[c_50,c_140822]) ).
tff(c_143779,plain,
s1 = a2a3,
inference(splitLeft,[status(thm)],[c_140846]) ).
tff(c_143788,plain,
incident(a1,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_143779,c_44]) ).
tff(c_143793,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_143766,c_143788]) ).
tff(c_143796,plain,
! [A_4903] :
( ( b1 = A_4903 )
| ~ incident(A_4903,a2a3)
| ~ incident(A_4903,s1) ),
inference(splitRight,[status(thm)],[c_140846]) ).
tff(c_143799,plain,
( ( b1 = a2 )
| ~ incident(a2,a2a3) ),
inference(resolution,[status(thm)],[c_143703,c_143796]) ).
tff(c_143819,plain,
b1 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_18,c_143799]) ).
tff(c_143839,plain,
incident(a2,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_143819,c_26]) ).
tff(c_143846,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_140848,c_143839]) ).
tff(c_143971,plain,
! [A_4910] :
( ( s = A_4910 )
| ~ incident(A_4910,s1)
| ~ incident(A_4910,s2) ),
inference(splitRight,[status(thm)],[c_140884]) ).
tff(c_143974,plain,
( ( s = a1 )
| ~ incident(a1,s1) ),
inference(resolution,[status(thm)],[c_143430,c_143971]) ).
tff(c_143991,plain,
s = a1,
inference(demodulation,[status(thm),theory(equality)],[c_44,c_143974]) ).
tff(c_140789,plain,
! [A_4810] :
( ( s1 = b2b3 )
| ( a1 = A_4810 )
| ~ incident(A_4810,b2b3)
| ~ incident(A_4810,s1) ),
inference(resolution,[status(thm)],[c_44,c_140765]) ).
tff(c_143506,plain,
s1 = b2b3,
inference(splitLeft,[status(thm)],[c_140789]) ).
tff(c_143534,plain,
incident(b1,b2b3),
inference(demodulation,[status(thm),theory(equality)],[c_143506,c_50]) ).
tff(c_138177,plain,
! [C_4713,A_4715] :
( ( a2a3 = C_4713 )
| ( b1 = A_4715 )
| ~ incident(b1,C_4713)
| ~ incident(A_4715,a2a3)
| ~ incident(A_4715,C_4713) ),
inference(resolution,[status(thm)],[c_137731,c_138100]) ).
tff(c_143562,plain,
! [A_4715] :
( ( b2b3 = a2a3 )
| ( b1 = A_4715 )
| ~ incident(A_4715,a2a3)
| ~ incident(A_4715,b2b3) ),
inference(resolution,[status(thm)],[c_143534,c_138177]) ).
tff(c_143582,plain,
! [A_4898] :
( ( b1 = A_4898 )
| ~ incident(A_4898,a2a3)
| ~ incident(A_4898,b2b3) ),
inference(negUnitSimplification,[status(thm)],[c_115,c_143562]) ).
tff(c_143602,plain,
( ( p1 = b1 )
| ~ incident(p1,a2a3) ),
inference(resolution,[status(thm)],[c_62,c_143582]) ).
tff(c_143622,plain,
p1 = b1,
inference(demodulation,[status(thm),theory(equality)],[c_60,c_143602]) ).
tff(c_143631,plain,
~ incident(b1,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_143622,c_137985]) ).
tff(c_143638,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_26,c_143631]) ).
tff(c_143641,plain,
! [A_4899] :
( ( a1 = A_4899 )
| ~ incident(A_4899,b2b3)
| ~ incident(A_4899,s1) ),
inference(splitRight,[status(thm)],[c_140789]) ).
tff(c_143665,plain,
( ( s = a1 )
| ~ incident(s,b2b3) ),
inference(resolution,[status(thm)],[c_38,c_143641]) ).
tff(c_143673,plain,
~ incident(s,b2b3),
inference(splitLeft,[status(thm)],[c_143665]) ).
tff(c_144004,plain,
~ incident(a1,b2b3),
inference(demodulation,[status(thm),theory(equality)],[c_143991,c_143673]) ).
tff(c_144013,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_102984,c_144004]) ).
tff(c_144014,plain,
s = a1,
inference(splitRight,[status(thm)],[c_143665]) ).
tff(c_144035,plain,
~ incident(a1,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_144014,c_140821]) ).
tff(c_144042,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_143431,c_144035]) ).
tff(c_144043,plain,
b2 = a2,
inference(splitRight,[status(thm)],[c_140820]) ).
tff(c_144074,plain,
incident(a2,b2b3),
inference(demodulation,[status(thm),theory(equality)],[c_144043,c_30]) ).
tff(c_144083,plain,
b2b3 = a1a2,
inference(splitLeft,[status(thm)],[c_140786]) ).
tff(c_144087,plain,
incident(p1,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_144083,c_62]) ).
tff(c_144093,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_137994,c_144087]) ).
tff(c_144159,plain,
! [A_4915] :
( ( a1 = A_4915 )
| ~ incident(A_4915,b2b3)
| ~ incident(A_4915,a1a2) ),
inference(splitRight,[status(thm)],[c_140786]) ).
tff(c_144162,plain,
( ( a2 = a1 )
| ~ incident(a2,a1a2) ),
inference(resolution,[status(thm)],[c_144074,c_144159]) ).
tff(c_144182,plain,
a2 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_144162]) ).
tff(c_144184,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_122,c_144182]) ).
tff(c_144185,plain,
s = b2,
inference(splitRight,[status(thm)],[c_140819]) ).
tff(c_144188,plain,
incident(b2,s1),
inference(demodulation,[status(thm),theory(equality)],[c_144185,c_38]) ).
tff(c_144550,plain,
b2b3 = a3a1,
inference(splitLeft,[status(thm)],[c_140790]) ).
tff(c_145035,plain,
! [A_4810] :
( ( s1 = a3a1 )
| ( a1 = A_4810 )
| ~ incident(A_4810,a3a1)
| ~ incident(A_4810,s1) ),
inference(demodulation,[status(thm),theory(equality)],[c_144550,c_144550,c_140789]) ).
tff(c_145036,plain,
s1 = a3a1,
inference(splitLeft,[status(thm)],[c_145035]) ).
tff(c_144197,plain,
! [C_4916,A_4917] :
( ( a2a3 = C_4916 )
| ( b1 = A_4917 )
| ~ incident(b1,C_4916)
| ~ incident(A_4917,a2a3)
| ~ incident(A_4917,C_4916) ),
inference(resolution,[status(thm)],[c_137731,c_138100]) ).
tff(c_144218,plain,
! [A_4917] :
( ( b1b2 = a2a3 )
| ( b1 = A_4917 )
| ~ incident(A_4917,a2a3)
| ~ incident(A_4917,b1b2) ),
inference(resolution,[status(thm)],[c_26,c_144197]) ).
tff(c_144593,plain,
b1b2 = a2a3,
inference(splitLeft,[status(thm)],[c_144218]) ).
tff(c_144595,plain,
~ incident(a2,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_144593,c_144256]) ).
tff(c_144607,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_18,c_144595]) ).
tff(c_144666,plain,
! [A_4933] :
( ( b1 = A_4933 )
| ~ incident(A_4933,a2a3)
| ~ incident(A_4933,b1b2) ),
inference(splitRight,[status(thm)],[c_144218]) ).
tff(c_144683,plain,
( ( b2 = b1 )
| ~ incident(b2,a2a3) ),
inference(resolution,[status(thm)],[c_28,c_144666]) ).
tff(c_144697,plain,
~ incident(b2,a2a3),
inference(negUnitSimplification,[status(thm)],[c_119,c_144683]) ).
tff(c_144221,plain,
! [A_4917] :
( ( s1 = a2a3 )
| ( b1 = A_4917 )
| ~ incident(A_4917,a2a3)
| ~ incident(A_4917,s1) ),
inference(resolution,[status(thm)],[c_50,c_144197]) ).
tff(c_144698,plain,
s1 = a2a3,
inference(splitLeft,[status(thm)],[c_144221]) ).
tff(c_144701,plain,
incident(b2,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_144698,c_144188]) ).
tff(c_144706,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_144697,c_144701]) ).
tff(c_144707,plain,
! [A_4917] :
( ( b1 = A_4917 )
| ~ incident(A_4917,a2a3)
| ~ incident(A_4917,s1) ),
inference(splitRight,[status(thm)],[c_144221]) ).
tff(c_145074,plain,
! [A_4943] :
( ( b1 = A_4943 )
| ~ incident(A_4943,a2a3)
| ~ incident(A_4943,a3a1) ),
inference(demodulation,[status(thm),theory(equality)],[c_145036,c_144707]) ).
tff(c_145100,plain,
( ( b1 = a3 )
| ~ incident(a3,a2a3) ),
inference(resolution,[status(thm)],[c_22,c_145074]) ).
tff(c_145125,plain,
b1 = a3,
inference(demodulation,[status(thm),theory(equality)],[c_20,c_145100]) ).
tff(c_145133,plain,
incident(a3,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_145125,c_26]) ).
tff(c_145141,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_137975,c_145133]) ).
tff(c_145251,plain,
! [A_4948] :
( ( a1 = A_4948 )
| ~ incident(A_4948,a3a1)
| ~ incident(A_4948,s1) ),
inference(splitRight,[status(thm)],[c_145035]) ).
tff(c_145254,plain,
( ( b2 = a1 )
| ~ incident(b2,a3a1) ),
inference(resolution,[status(thm)],[c_144188,c_145251]) ).
tff(c_145271,plain,
b2 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_137998,c_145254]) ).
tff(c_144356,plain,
! [C_4921,A_4922] :
( ( a1a2 = C_4921 )
| ( p3 = A_4922 )
| ~ incident(p3,C_4921)
| ~ incident(A_4922,a1a2)
| ~ incident(A_4922,C_4921) ),
inference(resolution,[status(thm)],[c_56,c_138100]) ).
tff(c_144364,plain,
! [A_4922] :
( ( b1b2 = a1a2 )
| ( p3 = A_4922 )
| ~ incident(A_4922,a1a2)
| ~ incident(A_4922,b1b2) ),
inference(resolution,[status(thm)],[c_58,c_144356]) ).
tff(c_144378,plain,
! [A_4923] :
( ( p3 = A_4923 )
| ~ incident(A_4923,a1a2)
| ~ incident(A_4923,b1b2) ),
inference(negUnitSimplification,[status(thm)],[c_116,c_144364]) ).
tff(c_144407,plain,
( ( p3 = b2 )
| ~ incident(b2,a1a2) ),
inference(resolution,[status(thm)],[c_28,c_144378]) ).
tff(c_144409,plain,
~ incident(b2,a1a2),
inference(splitLeft,[status(thm)],[c_144407]) ).
tff(c_145311,plain,
~ incident(a1,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_145271,c_144409]) ).
tff(c_145325,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_145311]) ).
tff(c_145328,plain,
! [A_4951] :
( ( a1 = A_4951 )
| ~ incident(A_4951,b2b3)
| ~ incident(A_4951,a3a1) ),
inference(splitRight,[status(thm)],[c_140790]) ).
tff(c_145348,plain,
( ( b2 = a1 )
| ~ incident(b2,a3a1) ),
inference(resolution,[status(thm)],[c_30,c_145328]) ).
tff(c_145363,plain,
b2 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_137998,c_145348]) ).
tff(c_145382,plain,
~ incident(a1,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_145363,c_144409]) ).
tff(c_145397,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_145382]) ).
tff(c_145399,plain,
incident(b2,a1a2),
inference(splitRight,[status(thm)],[c_144407]) ).
tff(c_144257,plain,
! [C_4918,A_4919] :
( ( a1a2 = C_4918 )
| ( a1 = A_4919 )
| ~ incident(a1,C_4918)
| ~ incident(A_4919,a1a2)
| ~ incident(A_4919,C_4918) ),
inference(resolution,[status(thm)],[c_14,c_138100]) ).
tff(c_144280,plain,
! [A_4919] :
( ( b2b3 = a1a2 )
| ( a1 = A_4919 )
| ~ incident(A_4919,a1a2)
| ~ incident(A_4919,b2b3) ),
inference(resolution,[status(thm)],[c_102984,c_144257]) ).
tff(c_147120,plain,
b2b3 = a1a2,
inference(splitLeft,[status(thm)],[c_144280]) ).
tff(c_144283,plain,
s2 = b2b3,
inference(splitLeft,[status(thm)],[c_138228]) ).
tff(c_144289,plain,
incident(a2,b2b3),
inference(demodulation,[status(thm),theory(equality)],[c_144283,c_46]) ).
tff(c_144296,plain,
b2b3 = a1a2,
inference(splitLeft,[status(thm)],[c_144280]) ).
tff(c_144302,plain,
incident(p1,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_144296,c_62]) ).
tff(c_144309,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_137994,c_144302]) ).
tff(c_144325,plain,
! [A_4920] :
( ( a1 = A_4920 )
| ~ incident(A_4920,a1a2)
| ~ incident(A_4920,b2b3) ),
inference(splitRight,[status(thm)],[c_144280]) ).
tff(c_144328,plain,
( ( a2 = a1 )
| ~ incident(a2,a1a2) ),
inference(resolution,[status(thm)],[c_144289,c_144325]) ).
tff(c_144351,plain,
a2 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_144328]) ).
tff(c_144353,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_122,c_144351]) ).
tff(c_145485,plain,
! [A_4955] :
( ( b2 = A_4955 )
| ~ incident(A_4955,s2)
| ~ incident(A_4955,b2b3) ),
inference(splitRight,[status(thm)],[c_138228]) ).
tff(c_145510,plain,
( ( b2 = a2 )
| ~ incident(a2,b2b3) ),
inference(resolution,[status(thm)],[c_46,c_145485]) ).
tff(c_145511,plain,
~ incident(a2,b2b3),
inference(splitLeft,[status(thm)],[c_145510]) ).
tff(c_147121,plain,
~ incident(a2,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_147120,c_145511]) ).
tff(c_147133,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_147121]) ).
tff(c_147136,plain,
! [A_5005] :
( ( a1 = A_5005 )
| ~ incident(A_5005,a1a2)
| ~ incident(A_5005,b2b3) ),
inference(splitRight,[status(thm)],[c_144280]) ).
tff(c_147156,plain,
( ( b2 = a1 )
| ~ incident(b2,a1a2) ),
inference(resolution,[status(thm)],[c_30,c_147136]) ).
tff(c_147171,plain,
b2 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_145399,c_147156]) ).
tff(c_144190,plain,
incident(b2,s3),
inference(demodulation,[status(thm),theory(equality)],[c_144185,c_42]) ).
tff(c_147181,plain,
incident(a1,s3),
inference(demodulation,[status(thm),theory(equality)],[c_147171,c_144190]) ).
tff(c_147826,plain,
! [C_5026,A_5027] :
( ( a3a1 = C_5026 )
| ( p2 = A_5027 )
| ~ incident(p2,C_5026)
| ~ incident(A_5027,a3a1)
| ~ incident(A_5027,C_5026) ),
inference(resolution,[status(thm)],[c_64,c_138100]) ).
tff(c_147836,plain,
! [A_5027] :
( ( b3b1 = a3a1 )
| ( p2 = A_5027 )
| ~ incident(A_5027,a3a1)
| ~ incident(A_5027,b3b1) ),
inference(resolution,[status(thm)],[c_66,c_147826]) ).
tff(c_147848,plain,
! [A_5028] :
( ( p2 = A_5028 )
| ~ incident(A_5028,a3a1)
| ~ incident(A_5028,b3b1) ),
inference(negUnitSimplification,[status(thm)],[c_114,c_147836]) ).
tff(c_147877,plain,
( ( p2 = b3 )
| ~ incident(b3,a3a1) ),
inference(resolution,[status(thm)],[c_34,c_147848]) ).
tff(c_147879,plain,
~ incident(b3,a3a1),
inference(splitLeft,[status(thm)],[c_147877]) ).
tff(c_145512,plain,
! [C_4956,A_4957] :
( ( a3a1 = C_4956 )
| ( a3 = A_4957 )
| ~ incident(a3,C_4956)
| ~ incident(A_4957,a3a1)
| ~ incident(A_4957,C_4956) ),
inference(resolution,[status(thm)],[c_22,c_138100]) ).
tff(c_145532,plain,
! [A_4957] :
( ( s3 = a3a1 )
| ( a3 = A_4957 )
| ~ incident(A_4957,a3a1)
| ~ incident(A_4957,s3) ),
inference(resolution,[status(thm)],[c_48,c_145512]) ).
tff(c_148479,plain,
s3 = a3a1,
inference(splitLeft,[status(thm)],[c_145532]) ).
tff(c_148484,plain,
incident(b3,a3a1),
inference(demodulation,[status(thm),theory(equality)],[c_148479,c_54]) ).
tff(c_148489,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_147879,c_148484]) ).
tff(c_148492,plain,
! [A_5050] :
( ( a3 = A_5050 )
| ~ incident(A_5050,a3a1)
| ~ incident(A_5050,s3) ),
inference(splitRight,[status(thm)],[c_145532]) ).
tff(c_148495,plain,
( ( a3 = a1 )
| ~ incident(a1,a3a1) ),
inference(resolution,[status(thm)],[c_147181,c_148492]) ).
tff(c_148512,plain,
a3 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_24,c_148495]) ).
tff(c_148514,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_120,c_148512]) ).
tff(c_148515,plain,
p2 = b3,
inference(splitRight,[status(thm)],[c_147877]) ).
tff(c_145398,plain,
p3 = b2,
inference(splitRight,[status(thm)],[c_144407]) ).
tff(c_145409,plain,
! [A_1] :
( ~ incident(p2,A_1)
| ~ incident(p1,A_1)
| ~ incident(b2,A_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_145398,c_125]) ).
tff(c_147176,plain,
! [A_1] :
( ~ incident(p2,A_1)
| ~ incident(p1,A_1)
| ~ incident(a1,A_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_147171,c_145409]) ).
tff(c_148626,plain,
! [A_5055] :
( ~ incident(b3,A_5055)
| ~ incident(p1,A_5055)
| ~ incident(a1,A_5055) ),
inference(demodulation,[status(thm),theory(equality)],[c_148515,c_147176]) ).
tff(c_148640,plain,
( ~ incident(b3,b2b3)
| ~ incident(a1,b2b3) ),
inference(resolution,[status(thm)],[c_62,c_148626]) ).
tff(c_148651,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_102984,c_32,c_148640]) ).
tff(c_148652,plain,
b2 = a2,
inference(splitRight,[status(thm)],[c_145510]) ).
tff(c_148669,plain,
incident(a2,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_148652,c_28]) ).
tff(c_148677,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_144256,c_148669]) ).
tff(c_148678,plain,
b2 = a2,
inference(splitRight,[status(thm)],[c_140820]) ).
tff(c_148689,plain,
incident(a2,b2b3),
inference(demodulation,[status(thm),theory(equality)],[c_148678,c_30]) ).
tff(c_148702,plain,
! [C_5056,A_5057] :
( ( a1a2 = C_5056 )
| ( a1 = A_5057 )
| ~ incident(a1,C_5056)
| ~ incident(A_5057,a1a2)
| ~ incident(A_5057,C_5056) ),
inference(resolution,[status(thm)],[c_14,c_138100]) ).
tff(c_148725,plain,
! [A_5057] :
( ( b2b3 = a1a2 )
| ( a1 = A_5057 )
| ~ incident(A_5057,a1a2)
| ~ incident(A_5057,b2b3) ),
inference(resolution,[status(thm)],[c_102984,c_148702]) ).
tff(c_148741,plain,
b2b3 = a1a2,
inference(splitLeft,[status(thm)],[c_148725]) ).
tff(c_148745,plain,
incident(p1,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_148741,c_62]) ).
tff(c_148751,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_137994,c_148745]) ).
tff(c_148861,plain,
! [A_5061] :
( ( a1 = A_5061 )
| ~ incident(A_5061,a1a2)
| ~ incident(A_5061,b2b3) ),
inference(splitRight,[status(thm)],[c_148725]) ).
tff(c_148864,plain,
( ( a2 = a1 )
| ~ incident(a2,a1a2) ),
inference(resolution,[status(thm)],[c_148689,c_148861]) ).
tff(c_148884,plain,
a2 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_148864]) ).
tff(c_148886,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_122,c_148884]) ).
tff(c_148888,plain,
incident(p1,a1a2),
inference(splitRight,[status(thm)],[c_137736]) ).
tff(c_149004,plain,
! [D_5076,C_5077,B_5078,A_5079] :
( ( D_5076 = C_5077 )
| ( B_5078 = A_5079 )
| ~ incident(B_5078,D_5076)
| ~ incident(B_5078,C_5077)
| ~ incident(A_5079,D_5076)
| ~ incident(A_5079,C_5077) ),
inference(cnfTransformation,[status(thm)],[f_153]) ).
tff(c_151598,plain,
! [C_5156,A_5157] :
( ( b2b3 = C_5156 )
| ( a1 = A_5157 )
| ~ incident(a1,C_5156)
| ~ incident(A_5157,b2b3)
| ~ incident(A_5157,C_5156) ),
inference(resolution,[status(thm)],[c_102984,c_149004]) ).
tff(c_151623,plain,
! [A_5157] :
( ( b2b3 = a3a1 )
| ( a1 = A_5157 )
| ~ incident(A_5157,b2b3)
| ~ incident(A_5157,a3a1) ),
inference(resolution,[status(thm)],[c_24,c_151598]) ).
tff(c_151652,plain,
b2b3 = a3a1,
inference(splitLeft,[status(thm)],[c_151623]) ).
tff(c_151656,plain,
incident(p1,a3a1),
inference(demodulation,[status(thm),theory(equality)],[c_151652,c_62]) ).
tff(c_151619,plain,
! [A_5157] :
( ( b2b3 = a1a2 )
| ( a1 = A_5157 )
| ~ incident(A_5157,b2b3)
| ~ incident(A_5157,a1a2) ),
inference(resolution,[status(thm)],[c_14,c_151598]) ).
tff(c_153417,plain,
! [A_5157] :
( ( a3a1 = a1a2 )
| ( a1 = A_5157 )
| ~ incident(A_5157,a3a1)
| ~ incident(A_5157,a1a2) ),
inference(demodulation,[status(thm),theory(equality)],[c_151652,c_151652,c_151619]) ).
tff(c_153418,plain,
a3a1 = a1a2,
inference(splitLeft,[status(thm)],[c_153417]) ).
tff(c_151657,plain,
incident(b3,a3a1),
inference(demodulation,[status(thm),theory(equality)],[c_151652,c_32]) ).
tff(c_153424,plain,
incident(b3,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_153418,c_151657]) ).
tff(c_153434,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_137978,c_153424]) ).
tff(c_153465,plain,
! [A_5209] :
( ( a1 = A_5209 )
| ~ incident(A_5209,a3a1)
| ~ incident(A_5209,a1a2) ),
inference(splitRight,[status(thm)],[c_153417]) ).
tff(c_153471,plain,
( ( p1 = a1 )
| ~ incident(p1,a1a2) ),
inference(resolution,[status(thm)],[c_151656,c_153465]) ).
tff(c_153492,plain,
p1 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_148888,c_153471]) ).
tff(c_151659,plain,
a3a1 != a2a3,
inference(demodulation,[status(thm),theory(equality)],[c_151652,c_115]) ).
tff(c_153507,plain,
! [C_5210,A_5211] :
( ( a2a3 = C_5210 )
| ( p1 = A_5211 )
| ~ incident(p1,C_5210)
| ~ incident(A_5211,a2a3)
| ~ incident(A_5211,C_5210) ),
inference(resolution,[status(thm)],[c_60,c_149004]) ).
tff(c_153509,plain,
! [A_5211] :
( ( a3a1 = a2a3 )
| ( p1 = A_5211 )
| ~ incident(A_5211,a2a3)
| ~ incident(A_5211,a3a1) ),
inference(resolution,[status(thm)],[c_151656,c_153507]) ).
tff(c_153522,plain,
! [A_5211] :
( ( p1 = A_5211 )
| ~ incident(A_5211,a2a3)
| ~ incident(A_5211,a3a1) ),
inference(negUnitSimplification,[status(thm)],[c_151659,c_153509]) ).
tff(c_153565,plain,
! [A_5212] :
( ( a1 = A_5212 )
| ~ incident(A_5212,a2a3)
| ~ incident(A_5212,a3a1) ),
inference(demodulation,[status(thm),theory(equality)],[c_153492,c_153522]) ).
tff(c_153582,plain,
( ( a3 = a1 )
| ~ incident(a3,a2a3) ),
inference(resolution,[status(thm)],[c_22,c_153565]) ).
tff(c_153596,plain,
a3 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_20,c_153582]) ).
tff(c_153598,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_120,c_153596]) ).
tff(c_153601,plain,
! [A_5213] :
( ( a1 = A_5213 )
| ~ incident(A_5213,b2b3)
| ~ incident(A_5213,a3a1) ),
inference(splitRight,[status(thm)],[c_151623]) ).
tff(c_153621,plain,
( ( b2 = a1 )
| ~ incident(b2,a3a1) ),
inference(resolution,[status(thm)],[c_30,c_153601]) ).
tff(c_153636,plain,
b2 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_148896,c_153621]) ).
tff(c_153642,plain,
incident(a1,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_153636,c_28]) ).
tff(c_154836,plain,
b2b3 = a1a2,
inference(splitLeft,[status(thm)],[c_151619]) ).
tff(c_154853,plain,
incident(b3,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_154836,c_32]) ).
tff(c_154859,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_137978,c_154853]) ).
tff(c_154862,plain,
! [A_5253] :
( ( a1 = A_5253 )
| ~ incident(A_5253,b2b3)
| ~ incident(A_5253,a1a2) ),
inference(splitRight,[status(thm)],[c_151619]) ).
tff(c_154876,plain,
( ( p1 = a1 )
| ~ incident(p1,a1a2) ),
inference(resolution,[status(thm)],[c_62,c_154862]) ).
tff(c_154892,plain,
p1 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_148888,c_154876]) ).
tff(c_153632,plain,
( ( p1 = a1 )
| ~ incident(p1,a3a1) ),
inference(resolution,[status(thm)],[c_62,c_153601]) ).
tff(c_153827,plain,
~ incident(p1,a3a1),
inference(splitLeft,[status(thm)],[c_153632]) ).
tff(c_154921,plain,
~ incident(a1,a3a1),
inference(demodulation,[status(thm),theory(equality)],[c_154892,c_153827]) ).
tff(c_154929,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_24,c_154921]) ).
tff(c_154930,plain,
p1 = a1,
inference(splitRight,[status(thm)],[c_153632]) ).
tff(c_154938,plain,
~ incident(a1,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_154930,c_137985]) ).
tff(c_154946,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_153642,c_154938]) ).
tff(c_154948,plain,
incident(p1,b1b2),
inference(splitRight,[status(thm)],[c_137740]) ).
tff(c_162028,plain,
incident(a3,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_162021,c_154948]) ).
tff(c_162034,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_137975,c_162028]) ).
tff(c_162037,plain,
! [A_5479] :
( ( a1 = A_5479 )
| ~ incident(A_5479,b2b3)
| ~ incident(A_5479,a3a1) ),
inference(splitRight,[status(thm)],[c_155230]) ).
tff(c_162057,plain,
( ( b2 = a1 )
| ~ incident(b2,a3a1) ),
inference(resolution,[status(thm)],[c_30,c_162037]) ).
tff(c_162072,plain,
b2 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_154972,c_162057]) ).
tff(c_162084,plain,
b1 != a1,
inference(demodulation,[status(thm),theory(equality)],[c_162072,c_119]) ).
tff(c_162335,plain,
! [C_5487,A_5488] :
( ( s1 = C_5487 )
| ( a1 = A_5488 )
| ~ incident(a1,C_5487)
| ~ incident(A_5488,s1)
| ~ incident(A_5488,C_5487) ),
inference(resolution,[status(thm)],[c_44,c_155073]) ).
tff(c_162366,plain,
! [A_5488] :
( ( s1 = b2b3 )
| ( a1 = A_5488 )
| ~ incident(A_5488,s1)
| ~ incident(A_5488,b2b3) ),
inference(resolution,[status(thm)],[c_102984,c_162335]) ).
tff(c_162398,plain,
s1 = b2b3,
inference(splitLeft,[status(thm)],[c_162366]) ).
tff(c_162402,plain,
incident(b1,b2b3),
inference(demodulation,[status(thm),theory(equality)],[c_162398,c_50]) ).
tff(c_162082,plain,
incident(a1,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_162072,c_28]) ).
tff(c_155166,plain,
! [C_5271,A_5273] :
( ( b1b2 = C_5271 )
| ( b2 = A_5273 )
| ~ incident(b2,C_5271)
| ~ incident(A_5273,b1b2)
| ~ incident(A_5273,C_5271) ),
inference(resolution,[status(thm)],[c_28,c_155073]) ).
tff(c_162770,plain,
! [C_5500,A_5501] :
( ( b1b2 = C_5500 )
| ( a1 = A_5501 )
| ~ incident(a1,C_5500)
| ~ incident(A_5501,b1b2)
| ~ incident(A_5501,C_5500) ),
inference(demodulation,[status(thm),theory(equality)],[c_162072,c_162072,c_155166]) ).
tff(c_162803,plain,
! [A_5501] :
( ( b2b3 = b1b2 )
| ( a1 = A_5501 )
| ~ incident(A_5501,b1b2)
| ~ incident(A_5501,b2b3) ),
inference(resolution,[status(thm)],[c_102984,c_162770]) ).
tff(c_162956,plain,
b2b3 = b1b2,
inference(splitLeft,[status(thm)],[c_162803]) ).
tff(c_162666,plain,
! [C_5496,A_5497] :
( ( b2b3 = C_5496 )
| ( b3 = A_5497 )
| ~ incident(b3,C_5496)
| ~ incident(A_5497,b2b3)
| ~ incident(A_5497,C_5496) ),
inference(resolution,[status(thm)],[c_32,c_155073]) ).
tff(c_162688,plain,
! [A_5497] :
( ( b3b1 = b2b3 )
| ( b3 = A_5497 )
| ~ incident(A_5497,b2b3)
| ~ incident(A_5497,b3b1) ),
inference(resolution,[status(thm)],[c_34,c_162666]) ).
tff(c_163175,plain,
! [A_5497] :
( ( b3b1 = b1b2 )
| ( b3 = A_5497 )
| ~ incident(A_5497,b1b2)
| ~ incident(A_5497,b3b1) ),
inference(demodulation,[status(thm),theory(equality)],[c_162956,c_162956,c_162688]) ).
tff(c_163176,plain,
b3b1 = b1b2,
inference(splitLeft,[status(thm)],[c_163175]) ).
tff(c_162085,plain,
b3 != a1,
inference(demodulation,[status(thm),theory(equality)],[c_162072,c_118]) ).
tff(c_158975,plain,
! [C_5385,A_5386] :
( ( a3a1 = C_5385 )
| ( a1 = A_5386 )
| ~ incident(a1,C_5385)
| ~ incident(A_5386,a3a1)
| ~ incident(A_5386,C_5385) ),
inference(resolution,[status(thm)],[c_24,c_155073]) ).
tff(c_158995,plain,
! [A_5386] :
( ( b2b3 = a3a1 )
| ( a1 = A_5386 )
| ~ incident(A_5386,a3a1)
| ~ incident(A_5386,b2b3) ),
inference(resolution,[status(thm)],[c_102984,c_158975]) ).
tff(c_159114,plain,
b2b3 = a3a1,
inference(splitLeft,[status(thm)],[c_158995]) ).
tff(c_155229,plain,
! [A_5277] :
( ( s1 = b2b3 )
| ( a1 = A_5277 )
| ~ incident(A_5277,b2b3)
| ~ incident(A_5277,s1) ),
inference(resolution,[status(thm)],[c_44,c_155205]) ).
tff(c_158901,plain,
s1 = b2b3,
inference(splitLeft,[status(thm)],[c_155229]) ).
tff(c_158905,plain,
incident(b1,b2b3),
inference(demodulation,[status(thm),theory(equality)],[c_158901,c_50]) ).
tff(c_155153,plain,
! [C_5271,A_5273] :
( ( a2a3 = C_5271 )
| ( b1 = A_5273 )
| ~ incident(b1,C_5271)
| ~ incident(A_5273,a2a3)
| ~ incident(A_5273,C_5271) ),
inference(resolution,[status(thm)],[c_137731,c_155073]) ).
tff(c_158926,plain,
! [A_5273] :
( ( b2b3 = a2a3 )
| ( b1 = A_5273 )
| ~ incident(A_5273,a2a3)
| ~ incident(A_5273,b2b3) ),
inference(resolution,[status(thm)],[c_158905,c_155153]) ).
tff(c_158937,plain,
! [A_5273] :
( ( b1 = A_5273 )
| ~ incident(A_5273,a2a3)
| ~ incident(A_5273,b2b3) ),
inference(negUnitSimplification,[status(thm)],[c_115,c_158926]) ).
tff(c_159206,plain,
! [A_5393] :
( ( b1 = A_5393 )
| ~ incident(A_5393,a2a3)
| ~ incident(A_5393,a3a1) ),
inference(demodulation,[status(thm),theory(equality)],[c_159114,c_158937]) ).
tff(c_159232,plain,
( ( b1 = a3 )
| ~ incident(a3,a2a3) ),
inference(resolution,[status(thm)],[c_22,c_159206]) ).
tff(c_159254,plain,
b1 = a3,
inference(demodulation,[status(thm),theory(equality)],[c_20,c_159232]) ).
tff(c_159266,plain,
incident(a3,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_159254,c_26]) ).
tff(c_159274,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_137975,c_159266]) ).
tff(c_159277,plain,
! [A_5394] :
( ( a1 = A_5394 )
| ~ incident(A_5394,a3a1)
| ~ incident(A_5394,b2b3) ),
inference(splitRight,[status(thm)],[c_158995]) ).
tff(c_159300,plain,
( ( b2 = a1 )
| ~ incident(b2,a3a1) ),
inference(resolution,[status(thm)],[c_30,c_159277]) ).
tff(c_159316,plain,
b2 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_154972,c_159300]) ).
tff(c_159325,plain,
b1 != a1,
inference(demodulation,[status(thm),theory(equality)],[c_159316,c_119]) ).
tff(c_155179,plain,
! [C_5274,A_5275] :
( ( s2 = C_5274 )
| ( b2 = A_5275 )
| ~ incident(b2,C_5274)
| ~ incident(A_5275,s2)
| ~ incident(A_5275,C_5274) ),
inference(resolution,[status(thm)],[c_52,c_155073]) ).
tff(c_155203,plain,
! [A_5275] :
( ( s2 = b1b2 )
| ( b2 = A_5275 )
| ~ incident(A_5275,s2)
| ~ incident(A_5275,b1b2) ),
inference(resolution,[status(thm)],[c_28,c_155179]) ).
tff(c_155231,plain,
s2 = b1b2,
inference(splitLeft,[status(thm)],[c_155203]) ).
tff(c_155236,plain,
incident(a2,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_155231,c_46]) ).
tff(c_155256,plain,
! [C_5278,A_5279] :
( ( a2a3 = C_5278 )
| ( b1 = A_5279 )
| ~ incident(b1,C_5278)
| ~ incident(A_5279,a2a3)
| ~ incident(A_5279,C_5278) ),
inference(resolution,[status(thm)],[c_137731,c_155073]) ).
tff(c_155277,plain,
! [A_5279] :
( ( b1b2 = a2a3 )
| ( b1 = A_5279 )
| ~ incident(A_5279,a2a3)
| ~ incident(A_5279,b1b2) ),
inference(resolution,[status(thm)],[c_26,c_155256]) ).
tff(c_156742,plain,
b1b2 = a2a3,
inference(splitLeft,[status(thm)],[c_155277]) ).
tff(c_156750,plain,
~ incident(a3,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_156742,c_137975]) ).
tff(c_156759,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_20,c_156750]) ).
tff(c_156762,plain,
! [A_5325] :
( ( b1 = A_5325 )
| ~ incident(A_5325,a2a3)
| ~ incident(A_5325,b1b2) ),
inference(splitRight,[status(thm)],[c_155277]) ).
tff(c_156768,plain,
( ( b1 = a2 )
| ~ incident(a2,a2a3) ),
inference(resolution,[status(thm)],[c_155236,c_156762]) ).
tff(c_156794,plain,
b1 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_18,c_156768]) ).
tff(c_156782,plain,
( ( p1 = b1 )
| ~ incident(p1,a2a3) ),
inference(resolution,[status(thm)],[c_154948,c_156762]) ).
tff(c_156804,plain,
p1 = b1,
inference(demodulation,[status(thm),theory(equality)],[c_60,c_156782]) ).
tff(c_156827,plain,
p1 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_156794,c_156804]) ).
tff(c_154950,plain,
~ incident(p1,a1a2),
inference(splitLeft,[status(thm)],[c_137736]) ).
tff(c_156834,plain,
~ incident(a2,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_156827,c_154950]) ).
tff(c_156842,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_156834]) ).
tff(c_156868,plain,
! [A_5328] :
( ( b2 = A_5328 )
| ~ incident(A_5328,s2)
| ~ incident(A_5328,b1b2) ),
inference(splitRight,[status(thm)],[c_155203]) ).
tff(c_156896,plain,
( ( s = b2 )
| ~ incident(s,b1b2) ),
inference(resolution,[status(thm)],[c_40,c_156868]) ).
tff(c_156898,plain,
~ incident(s,b1b2),
inference(splitLeft,[status(thm)],[c_156896]) ).
tff(c_159323,plain,
incident(a1,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_159316,c_28]) ).
tff(c_155162,plain,
! [C_5271,A_5273] :
( ( b2b3 = C_5271 )
| ( a1 = A_5273 )
| ~ incident(a1,C_5271)
| ~ incident(A_5273,b2b3)
| ~ incident(A_5273,C_5271) ),
inference(resolution,[status(thm)],[c_102984,c_155073]) ).
tff(c_159370,plain,
! [A_5273] :
( ( b2b3 = b1b2 )
| ( a1 = A_5273 )
| ~ incident(A_5273,b2b3)
| ~ incident(A_5273,b1b2) ),
inference(resolution,[status(thm)],[c_159323,c_155162]) ).
tff(c_159649,plain,
b2b3 = b1b2,
inference(splitLeft,[status(thm)],[c_159370]) ).
tff(c_158903,plain,
incident(s,b2b3),
inference(demodulation,[status(thm),theory(equality)],[c_158901,c_38]) ).
tff(c_159658,plain,
incident(s,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_159649,c_158903]) ).
tff(c_159667,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_156898,c_159658]) ).
tff(c_159701,plain,
! [A_5406] :
( ( a1 = A_5406 )
| ~ incident(A_5406,b2b3)
| ~ incident(A_5406,b1b2) ),
inference(splitRight,[status(thm)],[c_159370]) ).
tff(c_159704,plain,
( ( b1 = a1 )
| ~ incident(b1,b1b2) ),
inference(resolution,[status(thm)],[c_158905,c_159701]) ).
tff(c_159724,plain,
b1 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_26,c_159704]) ).
tff(c_159726,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_159325,c_159724]) ).
tff(c_159755,plain,
! [A_5409] :
( ( a1 = A_5409 )
| ~ incident(A_5409,b2b3)
| ~ incident(A_5409,s1) ),
inference(splitRight,[status(thm)],[c_155229]) ).
tff(c_159784,plain,
( ( b1 = a1 )
| ~ incident(b1,b2b3) ),
inference(resolution,[status(thm)],[c_50,c_159755]) ).
tff(c_160715,plain,
~ incident(b1,b2b3),
inference(splitLeft,[status(thm)],[c_159784]) ).
tff(c_160973,plain,
! [C_5448,A_5449] :
( ( b2b3 = C_5448 )
| ( p1 = A_5449 )
| ~ incident(p1,C_5448)
| ~ incident(A_5449,b2b3)
| ~ incident(A_5449,C_5448) ),
inference(resolution,[status(thm)],[c_62,c_155073]) ).
tff(c_160983,plain,
! [A_5449] :
( ( b2b3 = a2a3 )
| ( p1 = A_5449 )
| ~ incident(A_5449,b2b3)
| ~ incident(A_5449,a2a3) ),
inference(resolution,[status(thm)],[c_60,c_160973]) ).
tff(c_160998,plain,
! [A_5450] :
( ( p1 = A_5450 )
| ~ incident(A_5450,b2b3)
| ~ incident(A_5450,a2a3) ),
inference(negUnitSimplification,[status(thm)],[c_115,c_160983]) ).
tff(c_161022,plain,
( ( p1 = a1 )
| ~ incident(a1,a2a3) ),
inference(resolution,[status(thm)],[c_102984,c_160998]) ).
tff(c_161028,plain,
~ incident(a1,a2a3),
inference(splitLeft,[status(thm)],[c_161022]) ).
tff(c_156899,plain,
! [C_5329,A_5330] :
( ( a2a3 = C_5329 )
| ( b1 = A_5330 )
| ~ incident(b1,C_5329)
| ~ incident(A_5330,a2a3)
| ~ incident(A_5330,C_5329) ),
inference(resolution,[status(thm)],[c_137731,c_155073]) ).
tff(c_156920,plain,
! [A_5330] :
( ( b1b2 = a2a3 )
| ( b1 = A_5330 )
| ~ incident(A_5330,a2a3)
| ~ incident(A_5330,b1b2) ),
inference(resolution,[status(thm)],[c_26,c_156899]) ).
tff(c_161377,plain,
b1b2 = a2a3,
inference(splitLeft,[status(thm)],[c_156920]) ).
tff(c_159729,plain,
! [C_5407,A_5408] :
( ( a3a1 = C_5407 )
| ( a1 = A_5408 )
| ~ incident(a1,C_5407)
| ~ incident(A_5408,a3a1)
| ~ incident(A_5408,C_5407) ),
inference(resolution,[status(thm)],[c_24,c_155073]) ).
tff(c_159751,plain,
! [A_5408] :
( ( b2b3 = a3a1 )
| ( a1 = A_5408 )
| ~ incident(A_5408,a3a1)
| ~ incident(A_5408,b2b3) ),
inference(resolution,[status(thm)],[c_102984,c_159729]) ).
tff(c_159786,plain,
b2b3 = a3a1,
inference(splitLeft,[status(thm)],[c_159751]) ).
tff(c_159853,plain,
( ( b1 = a1 )
| ~ incident(b1,a3a1) ),
inference(demodulation,[status(thm),theory(equality)],[c_159786,c_159784]) ).
tff(c_159854,plain,
~ incident(b1,a3a1),
inference(splitLeft,[status(thm)],[c_159853]) ).
tff(c_160404,plain,
b1b2 = a2a3,
inference(splitLeft,[status(thm)],[c_156920]) ).
tff(c_156897,plain,
( ( b2 = a2 )
| ~ incident(a2,b1b2) ),
inference(resolution,[status(thm)],[c_46,c_156868]) ).
tff(c_156925,plain,
~ incident(a2,b1b2),
inference(splitLeft,[status(thm)],[c_156897]) ).
tff(c_160408,plain,
~ incident(a2,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_160404,c_156925]) ).
tff(c_160421,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_18,c_160408]) ).
tff(c_160478,plain,
! [A_5434] :
( ( b1 = A_5434 )
| ~ incident(A_5434,a2a3)
| ~ incident(A_5434,b1b2) ),
inference(splitRight,[status(thm)],[c_156920]) ).
tff(c_160489,plain,
( ( p1 = b1 )
| ~ incident(p1,a2a3) ),
inference(resolution,[status(thm)],[c_154948,c_160478]) ).
tff(c_160507,plain,
p1 = b1,
inference(demodulation,[status(thm),theory(equality)],[c_60,c_160489]) ).
tff(c_159793,plain,
incident(p1,a3a1),
inference(demodulation,[status(thm),theory(equality)],[c_159786,c_62]) ).
tff(c_160519,plain,
incident(b1,a3a1),
inference(demodulation,[status(thm),theory(equality)],[c_160507,c_159793]) ).
tff(c_160525,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_159854,c_160519]) ).
tff(c_160526,plain,
b1 = a1,
inference(splitRight,[status(thm)],[c_159853]) ).
tff(c_160535,plain,
b3 != a1,
inference(demodulation,[status(thm),theory(equality)],[c_160526,c_117]) ).
tff(c_159794,plain,
incident(b3,a3a1),
inference(demodulation,[status(thm),theory(equality)],[c_159786,c_32]) ).
tff(c_160533,plain,
incident(a1,b3b1),
inference(demodulation,[status(thm),theory(equality)],[c_160526,c_36]) ).
tff(c_155174,plain,
! [C_5271,A_5273] :
( ( a3a1 = C_5271 )
| ( a1 = A_5273 )
| ~ incident(a1,C_5271)
| ~ incident(A_5273,a3a1)
| ~ incident(A_5273,C_5271) ),
inference(resolution,[status(thm)],[c_24,c_155073]) ).
tff(c_160544,plain,
! [A_5273] :
( ( b3b1 = a3a1 )
| ( a1 = A_5273 )
| ~ incident(A_5273,a3a1)
| ~ incident(A_5273,b3b1) ),
inference(resolution,[status(thm)],[c_160533,c_155174]) ).
tff(c_160677,plain,
! [A_5439] :
( ( a1 = A_5439 )
| ~ incident(A_5439,a3a1)
| ~ incident(A_5439,b3b1) ),
inference(negUnitSimplification,[status(thm)],[c_114,c_160544]) ).
tff(c_160694,plain,
( ( b3 = a1 )
| ~ incident(b3,a3a1) ),
inference(resolution,[status(thm)],[c_34,c_160677]) ).
tff(c_160710,plain,
b3 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_159794,c_160694]) ).
tff(c_160712,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_160535,c_160710]) ).
tff(c_160772,plain,
! [A_5443] :
( ( a1 = A_5443 )
| ~ incident(A_5443,a3a1)
| ~ incident(A_5443,b2b3) ),
inference(splitRight,[status(thm)],[c_159751]) ).
tff(c_160792,plain,
( ( b2 = a1 )
| ~ incident(b2,a3a1) ),
inference(resolution,[status(thm)],[c_30,c_160772]) ).
tff(c_160807,plain,
b2 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_154972,c_160792]) ).
tff(c_160814,plain,
incident(a1,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_160807,c_28]) ).
tff(c_161381,plain,
incident(a1,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_161377,c_160814]) ).
tff(c_161392,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_161028,c_161381]) ).
tff(c_161395,plain,
! [A_5463] :
( ( b1 = A_5463 )
| ~ incident(A_5463,a2a3)
| ~ incident(A_5463,b1b2) ),
inference(splitRight,[status(thm)],[c_156920]) ).
tff(c_161409,plain,
( ( p1 = b1 )
| ~ incident(p1,a2a3) ),
inference(resolution,[status(thm)],[c_154948,c_161395]) ).
tff(c_161423,plain,
p1 = b1,
inference(demodulation,[status(thm),theory(equality)],[c_60,c_161409]) ).
tff(c_161438,plain,
incident(b1,b2b3),
inference(demodulation,[status(thm),theory(equality)],[c_161423,c_62]) ).
tff(c_161443,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_160715,c_161438]) ).
tff(c_161444,plain,
p1 = a1,
inference(splitRight,[status(thm)],[c_161022]) ).
tff(c_160803,plain,
( ( p1 = a1 )
| ~ incident(p1,a3a1) ),
inference(resolution,[status(thm)],[c_62,c_160772]) ).
tff(c_160885,plain,
~ incident(p1,a3a1),
inference(splitLeft,[status(thm)],[c_160803]) ).
tff(c_161450,plain,
~ incident(a1,a3a1),
inference(demodulation,[status(thm),theory(equality)],[c_161444,c_160885]) ).
tff(c_161458,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_24,c_161450]) ).
tff(c_161459,plain,
p1 = a1,
inference(splitRight,[status(thm)],[c_160803]) ).
tff(c_161489,plain,
~ incident(a1,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_161459,c_154950]) ).
tff(c_161497,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_161489]) ).
tff(c_161498,plain,
b1 = a1,
inference(splitRight,[status(thm)],[c_159784]) ).
tff(c_161503,plain,
incident(a1,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_161498,c_137731]) ).
tff(c_161517,plain,
! [A_5273] :
( ( b2b3 = a2a3 )
| ( a1 = A_5273 )
| ~ incident(A_5273,b2b3)
| ~ incident(A_5273,a2a3) ),
inference(resolution,[status(thm)],[c_161503,c_155162]) ).
tff(c_161633,plain,
! [A_5469] :
( ( a1 = A_5469 )
| ~ incident(A_5469,b2b3)
| ~ incident(A_5469,a2a3) ),
inference(negUnitSimplification,[status(thm)],[c_115,c_161517]) ).
tff(c_161647,plain,
( ( p1 = a1 )
| ~ incident(p1,a2a3) ),
inference(resolution,[status(thm)],[c_62,c_161633]) ).
tff(c_161666,plain,
p1 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_60,c_161647]) ).
tff(c_161677,plain,
~ incident(a1,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_161666,c_154950]) ).
tff(c_161685,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_161677]) ).
tff(c_161686,plain,
b2 = a2,
inference(splitRight,[status(thm)],[c_156897]) ).
tff(c_161694,plain,
incident(a2,b2b3),
inference(demodulation,[status(thm),theory(equality)],[c_161686,c_30]) ).
tff(c_155154,plain,
! [C_5271,A_5273] :
( ( a2a3 = C_5271 )
| ( a2 = A_5273 )
| ~ incident(a2,C_5271)
| ~ incident(A_5273,a2a3)
| ~ incident(A_5273,C_5271) ),
inference(resolution,[status(thm)],[c_18,c_155073]) ).
tff(c_161704,plain,
! [A_5273] :
( ( b2b3 = a2a3 )
| ( a2 = A_5273 )
| ~ incident(A_5273,a2a3)
| ~ incident(A_5273,b2b3) ),
inference(resolution,[status(thm)],[c_161694,c_155154]) ).
tff(c_161788,plain,
! [A_5472] :
( ( a2 = A_5472 )
| ~ incident(A_5472,a2a3)
| ~ incident(A_5472,b2b3) ),
inference(negUnitSimplification,[status(thm)],[c_115,c_161704]) ).
tff(c_161805,plain,
( ( p1 = a2 )
| ~ incident(p1,a2a3) ),
inference(resolution,[status(thm)],[c_62,c_161788]) ).
tff(c_161824,plain,
p1 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_60,c_161805]) ).
tff(c_161833,plain,
~ incident(a2,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_161824,c_154950]) ).
tff(c_161841,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_161833]) ).
tff(c_161842,plain,
s = b2,
inference(splitRight,[status(thm)],[c_156896]) ).
tff(c_161847,plain,
incident(b2,s3),
inference(demodulation,[status(thm),theory(equality)],[c_161842,c_42]) ).
tff(c_162074,plain,
incident(a1,s3),
inference(demodulation,[status(thm),theory(equality)],[c_162072,c_161847]) ).
tff(c_162210,plain,
! [C_5484,A_5485] :
( ( s3 = C_5484 )
| ( b3 = A_5485 )
| ~ incident(b3,C_5484)
| ~ incident(A_5485,s3)
| ~ incident(A_5485,C_5484) ),
inference(resolution,[status(thm)],[c_54,c_155073]) ).
tff(c_162232,plain,
! [A_5485] :
( ( s3 = b3b1 )
| ( b3 = A_5485 )
| ~ incident(A_5485,s3)
| ~ incident(A_5485,b3b1) ),
inference(resolution,[status(thm)],[c_34,c_162210]) ).
tff(c_162518,plain,
s3 = b3b1,
inference(splitLeft,[status(thm)],[c_162232]) ).
tff(c_162520,plain,
incident(a1,b3b1),
inference(demodulation,[status(thm),theory(equality)],[c_162518,c_162074]) ).
tff(c_155164,plain,
! [C_5271,A_5273] :
( ( s3 = C_5271 )
| ( a3 = A_5273 )
| ~ incident(a3,C_5271)
| ~ incident(A_5273,s3)
| ~ incident(A_5273,C_5271) ),
inference(resolution,[status(thm)],[c_48,c_155073]) ).
tff(c_162544,plain,
! [C_5492,A_5493] :
( ( b3b1 = C_5492 )
| ( a3 = A_5493 )
| ~ incident(a3,C_5492)
| ~ incident(A_5493,b3b1)
| ~ incident(A_5493,C_5492) ),
inference(demodulation,[status(thm),theory(equality)],[c_162518,c_162518,c_155164]) ).
tff(c_162556,plain,
! [A_5493] :
( ( b3b1 = a3a1 )
| ( a3 = A_5493 )
| ~ incident(A_5493,b3b1)
| ~ incident(A_5493,a3a1) ),
inference(resolution,[status(thm)],[c_22,c_162544]) ).
tff(c_162590,plain,
! [A_5494] :
( ( a3 = A_5494 )
| ~ incident(A_5494,b3b1)
| ~ incident(A_5494,a3a1) ),
inference(negUnitSimplification,[status(thm)],[c_114,c_162556]) ).
tff(c_162593,plain,
( ( a3 = a1 )
| ~ incident(a1,a3a1) ),
inference(resolution,[status(thm)],[c_162520,c_162590]) ).
tff(c_162616,plain,
a3 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_24,c_162593]) ).
tff(c_162618,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_120,c_162616]) ).
tff(c_162689,plain,
! [A_5498] :
( ( b3 = A_5498 )
| ~ incident(A_5498,s3)
| ~ incident(A_5498,b3b1) ),
inference(splitRight,[status(thm)],[c_162232]) ).
tff(c_162692,plain,
( ( b3 = a1 )
| ~ incident(a1,b3b1) ),
inference(resolution,[status(thm)],[c_162074,c_162689]) ).
tff(c_162709,plain,
~ incident(a1,b3b1),
inference(negUnitSimplification,[status(thm)],[c_162085,c_162692]) ).
tff(c_163179,plain,
~ incident(a1,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_163176,c_162709]) ).
tff(c_163191,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_162082,c_163179]) ).
tff(c_163194,plain,
! [A_5512] :
( ( b3 = A_5512 )
| ~ incident(A_5512,b1b2)
| ~ incident(A_5512,b3b1) ),
inference(splitRight,[status(thm)],[c_163175]) ).
tff(c_163208,plain,
( ( b3 = b1 )
| ~ incident(b1,b1b2) ),
inference(resolution,[status(thm)],[c_36,c_163194]) ).
tff(c_163221,plain,
b3 = b1,
inference(demodulation,[status(thm),theory(equality)],[c_26,c_163208]) ).
tff(c_163223,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_117,c_163221]) ).
tff(c_163242,plain,
! [A_5513] :
( ( a1 = A_5513 )
| ~ incident(A_5513,b1b2)
| ~ incident(A_5513,b2b3) ),
inference(splitRight,[status(thm)],[c_162803]) ).
tff(c_163245,plain,
( ( b1 = a1 )
| ~ incident(b1,b1b2) ),
inference(resolution,[status(thm)],[c_162402,c_163242]) ).
tff(c_163262,plain,
b1 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_26,c_163245]) ).
tff(c_163264,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_162084,c_163262]) ).
tff(c_163267,plain,
! [A_5514] :
( ( a1 = A_5514 )
| ~ incident(A_5514,s1)
| ~ incident(A_5514,b2b3) ),
inference(splitRight,[status(thm)],[c_162366]) ).
tff(c_163281,plain,
( ( b1 = a1 )
| ~ incident(b1,b2b3) ),
inference(resolution,[status(thm)],[c_50,c_163267]) ).
tff(c_163294,plain,
~ incident(b1,b2b3),
inference(negUnitSimplification,[status(thm)],[c_162084,c_163281]) ).
tff(c_161913,plain,
! [A_5475] :
( ( p1 = A_5475 )
| ~ incident(A_5475,b2b3)
| ~ incident(A_5475,a2a3) ),
inference(negUnitSimplification,[status(thm)],[c_115,c_161897]) ).
tff(c_161940,plain,
( ( p1 = a1 )
| ~ incident(a1,a2a3) ),
inference(resolution,[status(thm)],[c_102984,c_161913]) ).
tff(c_161947,plain,
~ incident(a1,a2a3),
inference(splitLeft,[status(thm)],[c_161940]) ).
tff(c_162144,plain,
! [C_5482,A_5483] :
( ( a2a3 = C_5482 )
| ( b1 = A_5483 )
| ~ incident(b1,C_5482)
| ~ incident(A_5483,a2a3)
| ~ incident(A_5483,C_5482) ),
inference(resolution,[status(thm)],[c_137731,c_155073]) ).
tff(c_162165,plain,
! [A_5483] :
( ( b1b2 = a2a3 )
| ( b1 = A_5483 )
| ~ incident(A_5483,a2a3)
| ~ incident(A_5483,b1b2) ),
inference(resolution,[status(thm)],[c_26,c_162144]) ).
tff(c_163571,plain,
b1b2 = a2a3,
inference(splitLeft,[status(thm)],[c_162165]) ).
tff(c_163573,plain,
incident(a1,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_163571,c_162082]) ).
tff(c_163582,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_161947,c_163573]) ).
tff(c_163586,plain,
! [A_5524] :
( ( b1 = A_5524 )
| ~ incident(A_5524,a2a3)
| ~ incident(A_5524,b1b2) ),
inference(splitRight,[status(thm)],[c_162165]) ).
tff(c_163600,plain,
( ( p1 = b1 )
| ~ incident(p1,a2a3) ),
inference(resolution,[status(thm)],[c_154948,c_163586]) ).
tff(c_163614,plain,
p1 = b1,
inference(demodulation,[status(thm),theory(equality)],[c_60,c_163600]) ).
tff(c_163629,plain,
incident(b1,b2b3),
inference(demodulation,[status(thm),theory(equality)],[c_163614,c_62]) ).
tff(c_163634,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_163294,c_163629]) ).
tff(c_163635,plain,
p1 = a1,
inference(splitRight,[status(thm)],[c_161940]) ).
tff(c_163644,plain,
~ incident(a1,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_163635,c_154950]) ).
tff(c_163651,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_163644]) ).
tff(c_163653,plain,
incident(p1,a1a2),
inference(splitRight,[status(thm)],[c_137736]) ).
tff(c_163778,plain,
! [D_5538,C_5539,B_5540,A_5541] :
( ( D_5538 = C_5539 )
| ( B_5540 = A_5541 )
| ~ incident(B_5540,D_5538)
| ~ incident(B_5540,C_5539)
| ~ incident(A_5541,D_5538)
| ~ incident(A_5541,C_5539) ),
inference(cnfTransformation,[status(thm)],[f_153]) ).
tff(c_164394,plain,
! [C_5559,A_5560] :
( ( b1b2 = C_5559 )
| ( p3 = A_5560 )
| ~ incident(p3,C_5559)
| ~ incident(A_5560,b1b2)
| ~ incident(A_5560,C_5559) ),
inference(resolution,[status(thm)],[c_58,c_163778]) ).
tff(c_164404,plain,
! [A_5560] :
( ( b1b2 = a1a2 )
| ( p3 = A_5560 )
| ~ incident(A_5560,b1b2)
| ~ incident(A_5560,a1a2) ),
inference(resolution,[status(thm)],[c_56,c_164394]) ).
tff(c_164416,plain,
! [A_5561] :
( ( p3 = A_5561 )
| ~ incident(A_5561,b1b2)
| ~ incident(A_5561,a1a2) ),
inference(negUnitSimplification,[status(thm)],[c_116,c_164404]) ).
tff(c_164423,plain,
( ( p3 = p1 )
| ~ incident(p1,a1a2) ),
inference(resolution,[status(thm)],[c_154948,c_164416]) ).
tff(c_164442,plain,
p3 = p1,
inference(demodulation,[status(thm),theory(equality)],[c_163653,c_164423]) ).
tff(c_163746,plain,
! [B_5534,A_5535] :
( incident(B_5534,'#skF_1'(A_5535,B_5534))
| ~ point(B_5534)
| ~ point(A_5535) ),
inference(cnfTransformation,[status(thm)],[f_162]) ).
tff(c_163760,plain,
! [A_5535] :
( ~ incident(p2,'#skF_1'(A_5535,p3))
| ~ incident(p1,'#skF_1'(A_5535,p3))
| ~ point(p3)
| ~ point(A_5535) ),
inference(resolution,[status(thm)],[c_163746,c_125]) ).
tff(c_163887,plain,
! [A_5542] :
( ~ incident(p2,'#skF_1'(A_5542,p3))
| ~ incident(p1,'#skF_1'(A_5542,p3))
| ~ point(A_5542) ),
inference(demodulation,[status(thm),theory(equality)],[c_137834,c_163760]) ).
tff(c_163891,plain,
( ~ incident(p1,'#skF_1'(p2,p3))
| ~ point(p3)
| ~ point(p2) ),
inference(resolution,[status(thm)],[c_107,c_163887]) ).
tff(c_163894,plain,
~ incident(p1,'#skF_1'(p2,p3)),
inference(demodulation,[status(thm),theory(equality)],[c_137850,c_137834,c_163891]) ).
tff(c_164454,plain,
~ incident(p1,'#skF_1'(p2,p1)),
inference(demodulation,[status(thm),theory(equality)],[c_164442,c_163894]) ).
tff(c_164521,plain,
( ~ point(p1)
| ~ point(p2) ),
inference(resolution,[status(thm)],[c_105,c_164454]) ).
tff(c_164525,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_137850,c_137847,c_164521]) ).
tff(c_164526,plain,
~ incident(b2,a3a1),
inference(splitRight,[status(thm)],[c_137730]) ).
tff(c_164571,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_137975,c_164526,c_12]) ).
tff(c_164573,plain,
incident(a3,b1b2),
inference(splitRight,[status(thm)],[c_102983]) ).
tff(c_186821,plain,
! [D_6369,C_6370,B_6371,A_6372] :
( ( D_6369 = C_6370 )
| ( B_6371 = A_6372 )
| ~ incident(B_6371,D_6369)
| ~ incident(B_6371,C_6370)
| ~ incident(A_6372,D_6369)
| ~ incident(A_6372,C_6370) ),
inference(cnfTransformation,[status(thm)],[f_153]) ).
tff(c_186959,plain,
! [C_6375,A_6376] :
( ( a2a3 = C_6375 )
| ( a3 = A_6376 )
| ~ incident(a3,C_6375)
| ~ incident(A_6376,a2a3)
| ~ incident(A_6376,C_6375) ),
inference(resolution,[status(thm)],[c_20,c_186821]) ).
tff(c_186980,plain,
! [A_6376] :
( ( b1b2 = a2a3 )
| ( a3 = A_6376 )
| ~ incident(A_6376,a2a3)
| ~ incident(A_6376,b1b2) ),
inference(resolution,[status(thm)],[c_164573,c_186959]) ).
tff(c_187051,plain,
b1b2 = a2a3,
inference(splitLeft,[status(thm)],[c_186980]) ).
tff(c_187059,plain,
a2a3 != a1a2,
inference(demodulation,[status(thm),theory(equality)],[c_187051,c_116]) ).
tff(c_137835,plain,
point(a2),
inference(resolution,[status(thm)],[c_16,c_137741]) ).
tff(c_175360,plain,
! [D_5936,C_5937,B_5938,A_5939] :
( ( D_5936 = C_5937 )
| ( B_5938 = A_5939 )
| ~ incident(B_5938,D_5936)
| ~ incident(B_5938,C_5937)
| ~ incident(A_5939,D_5936)
| ~ incident(A_5939,C_5937) ),
inference(cnfTransformation,[status(thm)],[f_153]) ).
tff(c_175469,plain,
! [C_5940,A_5941] :
( ( b1b2 = C_5940 )
| ( a3 = A_5941 )
| ~ incident(a3,C_5940)
| ~ incident(A_5941,b1b2)
| ~ incident(A_5941,C_5940) ),
inference(resolution,[status(thm)],[c_164573,c_175360]) ).
tff(c_175492,plain,
! [A_5941] :
( ( b1b2 = a2a3 )
| ( a3 = A_5941 )
| ~ incident(A_5941,b1b2)
| ~ incident(A_5941,a2a3) ),
inference(resolution,[status(thm)],[c_20,c_175469]) ).
tff(c_175495,plain,
b1b2 = a2a3,
inference(splitLeft,[status(thm)],[c_175492]) ).
tff(c_175526,plain,
a2a3 != a1a2,
inference(demodulation,[status(thm),theory(equality)],[c_175495,c_116]) ).
tff(c_175441,plain,
! [C_5937,A_5939] :
( ( b1b2 = C_5937 )
| ( p3 = A_5939 )
| ~ incident(p3,C_5937)
| ~ incident(A_5939,b1b2)
| ~ incident(A_5939,C_5937) ),
inference(resolution,[status(thm)],[c_58,c_175360]) ).
tff(c_175600,plain,
! [C_5945,A_5946] :
( ( a2a3 = C_5945 )
| ( p3 = A_5946 )
| ~ incident(p3,C_5945)
| ~ incident(A_5946,a2a3)
| ~ incident(A_5946,C_5945) ),
inference(demodulation,[status(thm),theory(equality)],[c_175495,c_175495,c_175441]) ).
tff(c_175610,plain,
! [A_5946] :
( ( a2a3 = a1a2 )
| ( p3 = A_5946 )
| ~ incident(A_5946,a2a3)
| ~ incident(A_5946,a1a2) ),
inference(resolution,[status(thm)],[c_56,c_175600]) ).
tff(c_175622,plain,
! [A_5947] :
( ( p3 = A_5947 )
| ~ incident(A_5947,a2a3)
| ~ incident(A_5947,a1a2) ),
inference(negUnitSimplification,[status(thm)],[c_175526,c_175610]) ).
tff(c_175642,plain,
( ( p3 = a2 )
| ~ incident(a2,a1a2) ),
inference(resolution,[status(thm)],[c_18,c_175622]) ).
tff(c_175663,plain,
p3 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_175642]) ).
tff(c_167798,plain,
! [D_5685,C_5686,B_5687,A_5688] :
( ( D_5685 = C_5686 )
| ( B_5687 = A_5688 )
| ~ incident(B_5687,D_5685)
| ~ incident(B_5687,C_5686)
| ~ incident(A_5688,D_5685)
| ~ incident(A_5688,C_5686) ),
inference(cnfTransformation,[status(thm)],[f_153]) ).
tff(c_173814,plain,
! [C_5880,A_5881] :
( ( b2b3 = C_5880 )
| ( p1 = A_5881 )
| ~ incident(p1,C_5880)
| ~ incident(A_5881,b2b3)
| ~ incident(A_5881,C_5880) ),
inference(resolution,[status(thm)],[c_62,c_167798]) ).
tff(c_173824,plain,
! [A_5881] :
( ( b2b3 = a2a3 )
| ( p1 = A_5881 )
| ~ incident(A_5881,b2b3)
| ~ incident(A_5881,a2a3) ),
inference(resolution,[status(thm)],[c_60,c_173814]) ).
tff(c_173839,plain,
! [A_5882] :
( ( p1 = A_5882 )
| ~ incident(A_5882,b2b3)
| ~ incident(A_5882,a2a3) ),
inference(negUnitSimplification,[status(thm)],[c_115,c_173824]) ).
tff(c_173872,plain,
( ( p1 = b2 )
| ~ incident(b2,a2a3) ),
inference(resolution,[status(thm)],[c_30,c_173839]) ).
tff(c_173873,plain,
~ incident(b2,a2a3),
inference(splitLeft,[status(thm)],[c_173872]) ).
tff(c_164699,plain,
! [D_5579,C_5580,B_5581,A_5582] :
( ( D_5579 = C_5580 )
| ( B_5581 = A_5582 )
| ~ incident(B_5581,D_5579)
| ~ incident(B_5581,C_5580)
| ~ incident(A_5582,D_5579)
| ~ incident(A_5582,C_5580) ),
inference(cnfTransformation,[status(thm)],[f_153]) ).
tff(c_164802,plain,
! [C_5583,A_5584] :
( ( b1b2 = C_5583 )
| ( a3 = A_5584 )
| ~ incident(a3,C_5583)
| ~ incident(A_5584,b1b2)
| ~ incident(A_5584,C_5583) ),
inference(resolution,[status(thm)],[c_164573,c_164699]) ).
tff(c_164825,plain,
! [A_5584] :
( ( b1b2 = a2a3 )
| ( a3 = A_5584 )
| ~ incident(A_5584,b1b2)
| ~ incident(A_5584,a2a3) ),
inference(resolution,[status(thm)],[c_20,c_164802]) ).
tff(c_164828,plain,
b1b2 = a2a3,
inference(splitLeft,[status(thm)],[c_164825]) ).
tff(c_164588,plain,
~ incident(p1,b1b2),
inference(splitLeft,[status(thm)],[c_137740]) ).
tff(c_164856,plain,
~ incident(p1,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_164828,c_164588]) ).
tff(c_164865,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_60,c_164856]) ).
tff(c_164868,plain,
! [A_5587] :
( ( a3 = A_5587 )
| ~ incident(A_5587,b1b2)
| ~ incident(A_5587,a2a3) ),
inference(splitRight,[status(thm)],[c_164825]) ).
tff(c_164885,plain,
( ( b1 = a3 )
| ~ incident(b1,a2a3) ),
inference(resolution,[status(thm)],[c_26,c_164868]) ).
tff(c_164902,plain,
b1 = a3,
inference(demodulation,[status(thm),theory(equality)],[c_137731,c_164885]) ).
tff(c_164935,plain,
b2 != a3,
inference(demodulation,[status(thm),theory(equality)],[c_164902,c_119]) ).
tff(c_164936,plain,
b3 != a3,
inference(demodulation,[status(thm),theory(equality)],[c_164902,c_117]) ).
tff(c_164798,plain,
! [C_5580,A_5582] :
( ( b3b1 = C_5580 )
| ( b1 = A_5582 )
| ~ incident(b1,C_5580)
| ~ incident(A_5582,b3b1)
| ~ incident(A_5582,C_5580) ),
inference(resolution,[status(thm)],[c_36,c_164699]) ).
tff(c_165337,plain,
! [C_5601,A_5602] :
( ( b3b1 = C_5601 )
| ( a3 = A_5602 )
| ~ incident(a3,C_5601)
| ~ incident(A_5602,b3b1)
| ~ incident(A_5602,C_5601) ),
inference(demodulation,[status(thm),theory(equality)],[c_164902,c_164902,c_164798]) ).
tff(c_165366,plain,
! [A_5602] :
( ( b3b1 = b1b2 )
| ( a3 = A_5602 )
| ~ incident(A_5602,b3b1)
| ~ incident(A_5602,b1b2) ),
inference(resolution,[status(thm)],[c_164573,c_165337]) ).
tff(c_165604,plain,
b3b1 = b1b2,
inference(splitLeft,[status(thm)],[c_165366]) ).
tff(c_165610,plain,
incident(b3,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_165604,c_34]) ).
tff(c_164976,plain,
! [C_5590,A_5591] :
( ( s3 = C_5590 )
| ( s = A_5591 )
| ~ incident(s,C_5590)
| ~ incident(A_5591,s3)
| ~ incident(A_5591,C_5590) ),
inference(resolution,[status(thm)],[c_42,c_164699]) ).
tff(c_164996,plain,
! [A_5591] :
( ( s3 = s2 )
| ( s = A_5591 )
| ~ incident(A_5591,s3)
| ~ incident(A_5591,s2) ),
inference(resolution,[status(thm)],[c_40,c_164976]) ).
tff(c_165202,plain,
s3 = s2,
inference(splitLeft,[status(thm)],[c_164996]) ).
tff(c_165205,plain,
incident(b3,s2),
inference(demodulation,[status(thm),theory(equality)],[c_165202,c_54]) ).
tff(c_164572,plain,
~ incident(a2,b3b1),
inference(splitRight,[status(thm)],[c_102983]) ).
tff(c_165608,plain,
~ incident(a2,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_165604,c_164572]) ).
tff(c_164826,plain,
! [A_5584] :
( ( s3 = b1b2 )
| ( a3 = A_5584 )
| ~ incident(A_5584,b1b2)
| ~ incident(A_5584,s3) ),
inference(resolution,[status(thm)],[c_48,c_164802]) ).
tff(c_165832,plain,
! [A_5584] :
( ( s2 = b1b2 )
| ( a3 = A_5584 )
| ~ incident(A_5584,b1b2)
| ~ incident(A_5584,s2) ),
inference(demodulation,[status(thm),theory(equality)],[c_165202,c_165202,c_164826]) ).
tff(c_165833,plain,
s2 = b1b2,
inference(splitLeft,[status(thm)],[c_165832]) ).
tff(c_165844,plain,
incident(a2,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_165833,c_46]) ).
tff(c_165850,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_165608,c_165844]) ).
tff(c_165853,plain,
! [A_5617] :
( ( a3 = A_5617 )
| ~ incident(A_5617,b1b2)
| ~ incident(A_5617,s2) ),
inference(splitRight,[status(thm)],[c_165832]) ).
tff(c_165859,plain,
( ( b3 = a3 )
| ~ incident(b3,b1b2) ),
inference(resolution,[status(thm)],[c_165205,c_165853]) ).
tff(c_165880,plain,
b3 = a3,
inference(demodulation,[status(thm),theory(equality)],[c_165610,c_165859]) ).
tff(c_165882,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_164936,c_165880]) ).
tff(c_166014,plain,
! [A_5621] :
( ( a3 = A_5621 )
| ~ incident(A_5621,b3b1)
| ~ incident(A_5621,b1b2) ),
inference(splitRight,[status(thm)],[c_165366]) ).
tff(c_166028,plain,
( ( b3 = a3 )
| ~ incident(b3,b1b2) ),
inference(resolution,[status(thm)],[c_34,c_166014]) ).
tff(c_166041,plain,
~ incident(b3,b1b2),
inference(negUnitSimplification,[status(thm)],[c_164936,c_166028]) ).
tff(c_166283,plain,
! [A_5584] :
( ( s2 = b1b2 )
| ( a3 = A_5584 )
| ~ incident(A_5584,b1b2)
| ~ incident(A_5584,s2) ),
inference(demodulation,[status(thm),theory(equality)],[c_165202,c_165202,c_164826]) ).
tff(c_166284,plain,
s2 = b1b2,
inference(splitLeft,[status(thm)],[c_166283]) ).
tff(c_166290,plain,
incident(b3,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_166284,c_165205]) ).
tff(c_166297,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_166041,c_166290]) ).
tff(c_166332,plain,
! [A_5632] :
( ( a3 = A_5632 )
| ~ incident(A_5632,b1b2)
| ~ incident(A_5632,s2) ),
inference(splitRight,[status(thm)],[c_166283]) ).
tff(c_166349,plain,
( ( b2 = a3 )
| ~ incident(b2,b1b2) ),
inference(resolution,[status(thm)],[c_52,c_166332]) ).
tff(c_166367,plain,
b2 = a3,
inference(demodulation,[status(thm),theory(equality)],[c_28,c_166349]) ).
tff(c_166369,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_164935,c_166367]) ).
tff(c_166372,plain,
! [A_5633] :
( ( s = A_5633 )
| ~ incident(A_5633,s3)
| ~ incident(A_5633,s2) ),
inference(splitRight,[status(thm)],[c_164996]) ).
tff(c_166397,plain,
( ( s = a3 )
| ~ incident(a3,s2) ),
inference(resolution,[status(thm)],[c_48,c_166372]) ).
tff(c_166427,plain,
~ incident(a3,s2),
inference(splitLeft,[status(thm)],[c_166397]) ).
tff(c_164933,plain,
incident(a3,s1),
inference(demodulation,[status(thm),theory(equality)],[c_164902,c_50]) ).
tff(c_164995,plain,
! [A_5591] :
( ( s3 = s1 )
| ( s = A_5591 )
| ~ incident(A_5591,s3)
| ~ incident(A_5591,s1) ),
inference(resolution,[status(thm)],[c_38,c_164976]) ).
tff(c_166617,plain,
s3 = s1,
inference(splitLeft,[status(thm)],[c_164995]) ).
tff(c_166622,plain,
incident(b3,s1),
inference(demodulation,[status(thm),theory(equality)],[c_166617,c_54]) ).
tff(c_164904,plain,
! [C_5588,A_5589] :
( ( b2b3 = C_5588 )
| ( a1 = A_5589 )
| ~ incident(a1,C_5588)
| ~ incident(A_5589,b2b3)
| ~ incident(A_5589,C_5588) ),
inference(resolution,[status(thm)],[c_102984,c_164699]) ).
tff(c_164928,plain,
! [A_5589] :
( ( s1 = b2b3 )
| ( a1 = A_5589 )
| ~ incident(A_5589,b2b3)
| ~ incident(A_5589,s1) ),
inference(resolution,[status(thm)],[c_44,c_164904]) ).
tff(c_165035,plain,
s1 = b2b3,
inference(splitLeft,[status(thm)],[c_164928]) ).
tff(c_165036,plain,
incident(a3,b2b3),
inference(demodulation,[status(thm),theory(equality)],[c_165035,c_164933]) ).
tff(c_164776,plain,
! [C_5580,A_5582] :
( ( a2a3 = C_5580 )
| ( b1 = A_5582 )
| ~ incident(b1,C_5580)
| ~ incident(A_5582,a2a3)
| ~ incident(A_5582,C_5580) ),
inference(resolution,[status(thm)],[c_137731,c_164699]) ).
tff(c_165001,plain,
! [C_5580,A_5582] :
( ( a2a3 = C_5580 )
| ( a3 = A_5582 )
| ~ incident(a3,C_5580)
| ~ incident(A_5582,a2a3)
| ~ incident(A_5582,C_5580) ),
inference(demodulation,[status(thm),theory(equality)],[c_164902,c_164902,c_164776]) ).
tff(c_165063,plain,
! [A_5582] :
( ( b2b3 = a2a3 )
| ( a3 = A_5582 )
| ~ incident(A_5582,a2a3)
| ~ incident(A_5582,b2b3) ),
inference(resolution,[status(thm)],[c_165036,c_165001]) ).
tff(c_165083,plain,
! [A_5594] :
( ( a3 = A_5594 )
| ~ incident(A_5594,a2a3)
| ~ incident(A_5594,b2b3) ),
inference(negUnitSimplification,[status(thm)],[c_115,c_165063]) ).
tff(c_165103,plain,
( ( p1 = a3 )
| ~ incident(p1,a2a3) ),
inference(resolution,[status(thm)],[c_62,c_165083]) ).
tff(c_165126,plain,
p1 = a3,
inference(demodulation,[status(thm),theory(equality)],[c_60,c_165103]) ).
tff(c_165159,plain,
~ incident(a3,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_165126,c_164588]) ).
tff(c_165166,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_164573,c_165159]) ).
tff(c_165167,plain,
! [A_5589] :
( ( a1 = A_5589 )
| ~ incident(A_5589,b2b3)
| ~ incident(A_5589,s1) ),
inference(splitRight,[status(thm)],[c_164928]) ).
tff(c_166654,plain,
( ( b3 = a1 )
| ~ incident(b3,b2b3) ),
inference(resolution,[status(thm)],[c_166622,c_165167]) ).
tff(c_166665,plain,
b3 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_32,c_166654]) ).
tff(c_166481,plain,
! [C_5637,A_5638] :
( ( b3b1 = C_5637 )
| ( a3 = A_5638 )
| ~ incident(a3,C_5637)
| ~ incident(A_5638,b3b1)
| ~ incident(A_5638,C_5637) ),
inference(demodulation,[status(thm),theory(equality)],[c_164902,c_164902,c_164798]) ).
tff(c_166499,plain,
! [A_5638] :
( ( b3b1 = a3a1 )
| ( a3 = A_5638 )
| ~ incident(A_5638,b3b1)
| ~ incident(A_5638,a3a1) ),
inference(resolution,[status(thm)],[c_22,c_166481]) ).
tff(c_166516,plain,
! [A_5639] :
( ( a3 = A_5639 )
| ~ incident(A_5639,b3b1)
| ~ incident(A_5639,a3a1) ),
inference(negUnitSimplification,[status(thm)],[c_114,c_166499]) ).
tff(c_166533,plain,
( ( b3 = a3 )
| ~ incident(b3,a3a1) ),
inference(resolution,[status(thm)],[c_34,c_166516]) ).
tff(c_166549,plain,
~ incident(b3,a3a1),
inference(negUnitSimplification,[status(thm)],[c_164936,c_166533]) ).
tff(c_166672,plain,
~ incident(a1,a3a1),
inference(demodulation,[status(thm),theory(equality)],[c_166665,c_166549]) ).
tff(c_166683,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_24,c_166672]) ).
tff(c_166686,plain,
! [A_5643] :
( ( s = A_5643 )
| ~ incident(A_5643,s3)
| ~ incident(A_5643,s1) ),
inference(splitRight,[status(thm)],[c_164995]) ).
tff(c_166700,plain,
( ( s = a3 )
| ~ incident(a3,s1) ),
inference(resolution,[status(thm)],[c_48,c_166686]) ).
tff(c_166713,plain,
s = a3,
inference(demodulation,[status(thm),theory(equality)],[c_164933,c_166700]) ).
tff(c_166725,plain,
incident(a3,s2),
inference(demodulation,[status(thm),theory(equality)],[c_166713,c_40]) ).
tff(c_166730,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_166427,c_166725]) ).
tff(c_166732,plain,
incident(a3,s2),
inference(splitRight,[status(thm)],[c_166397]) ).
tff(c_167278,plain,
! [C_5660,A_5661] :
( ( b1b2 = C_5660 )
| ( b2 = A_5661 )
| ~ incident(b2,C_5660)
| ~ incident(A_5661,b1b2)
| ~ incident(A_5661,C_5660) ),
inference(resolution,[status(thm)],[c_28,c_164699]) ).
tff(c_167297,plain,
! [A_5661] :
( ( s2 = b1b2 )
| ( b2 = A_5661 )
| ~ incident(A_5661,b1b2)
| ~ incident(A_5661,s2) ),
inference(resolution,[status(thm)],[c_52,c_167278]) ).
tff(c_167506,plain,
s2 = b1b2,
inference(splitLeft,[status(thm)],[c_167297]) ).
tff(c_167514,plain,
incident(a2,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_167506,c_46]) ).
tff(c_164866,plain,
! [A_5584] :
( ( a3 = A_5584 )
| ~ incident(A_5584,b1b2)
| ~ incident(A_5584,a2a3) ),
inference(splitRight,[status(thm)],[c_164825]) ).
tff(c_167540,plain,
( ( a3 = a2 )
| ~ incident(a2,a2a3) ),
inference(resolution,[status(thm)],[c_167514,c_164866]) ).
tff(c_167554,plain,
a3 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_18,c_167540]) ).
tff(c_167556,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_121,c_167554]) ).
tff(c_167653,plain,
! [A_5670] :
( ( b2 = A_5670 )
| ~ incident(A_5670,b1b2)
| ~ incident(A_5670,s2) ),
inference(splitRight,[status(thm)],[c_167297]) ).
tff(c_167656,plain,
( ( b2 = a3 )
| ~ incident(a3,b1b2) ),
inference(resolution,[status(thm)],[c_166732,c_167653]) ).
tff(c_167673,plain,
b2 = a3,
inference(demodulation,[status(thm),theory(equality)],[c_164573,c_167656]) ).
tff(c_167675,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_164935,c_167673]) ).
tff(c_167677,plain,
incident(p1,b1b2),
inference(splitRight,[status(thm)],[c_137740]) ).
tff(c_173833,plain,
! [A_5881] :
( ( b2b3 = b1b2 )
| ( p1 = A_5881 )
| ~ incident(A_5881,b2b3)
| ~ incident(A_5881,b1b2) ),
inference(resolution,[status(thm)],[c_167677,c_173814]) ).
tff(c_174176,plain,
b2b3 = b1b2,
inference(splitLeft,[status(thm)],[c_173833]) ).
tff(c_172014,plain,
! [C_5819,A_5820] :
( ( a2a3 = C_5819 )
| ( b1 = A_5820 )
| ~ incident(b1,C_5819)
| ~ incident(A_5820,a2a3)
| ~ incident(A_5820,C_5819) ),
inference(resolution,[status(thm)],[c_137731,c_167798]) ).
tff(c_172038,plain,
! [A_5820] :
( ( b1b2 = a2a3 )
| ( b1 = A_5820 )
| ~ incident(A_5820,a2a3)
| ~ incident(A_5820,b1b2) ),
inference(resolution,[status(thm)],[c_26,c_172014]) ).
tff(c_172644,plain,
b1b2 = a2a3,
inference(splitLeft,[status(thm)],[c_172038]) ).
tff(c_169785,plain,
! [C_5750,A_5751] :
( ( b3b1 = C_5750 )
| ( b1 = A_5751 )
| ~ incident(b1,C_5750)
| ~ incident(A_5751,b3b1)
| ~ incident(A_5751,C_5750) ),
inference(resolution,[status(thm)],[c_36,c_167798]) ).
tff(c_169810,plain,
! [A_5751] :
( ( b3b1 = a2a3 )
| ( b1 = A_5751 )
| ~ incident(A_5751,b3b1)
| ~ incident(A_5751,a2a3) ),
inference(resolution,[status(thm)],[c_137731,c_169785]) ).
tff(c_169895,plain,
b3b1 = a2a3,
inference(splitLeft,[status(thm)],[c_169810]) ).
tff(c_169900,plain,
~ incident(a2,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_169895,c_164572]) ).
tff(c_169908,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_18,c_169900]) ).
tff(c_169911,plain,
! [A_5753] :
( ( b1 = A_5753 )
| ~ incident(A_5753,b3b1)
| ~ incident(A_5753,a2a3) ),
inference(splitRight,[status(thm)],[c_169810]) ).
tff(c_169928,plain,
( ( b3 = b1 )
| ~ incident(b3,a2a3) ),
inference(resolution,[status(thm)],[c_34,c_169911]) ).
tff(c_169942,plain,
~ incident(b3,a2a3),
inference(negUnitSimplification,[status(thm)],[c_117,c_169928]) ).
tff(c_167904,plain,
! [C_5689,A_5690] :
( ( s2 = C_5689 )
| ( b2 = A_5690 )
| ~ incident(b2,C_5689)
| ~ incident(A_5690,s2)
| ~ incident(A_5690,C_5689) ),
inference(resolution,[status(thm)],[c_52,c_167798]) ).
tff(c_167925,plain,
! [A_5690] :
( ( s2 = b1b2 )
| ( b2 = A_5690 )
| ~ incident(A_5690,s2)
| ~ incident(A_5690,b1b2) ),
inference(resolution,[status(thm)],[c_28,c_167904]) ).
tff(c_167927,plain,
s2 = b1b2,
inference(splitLeft,[status(thm)],[c_167925]) ).
tff(c_167957,plain,
incident(s,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_167927,c_40]) ).
tff(c_167958,plain,
incident(a2,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_167927,c_46]) ).
tff(c_167926,plain,
! [A_5690] :
( ( s2 = b2b3 )
| ( b2 = A_5690 )
| ~ incident(A_5690,s2)
| ~ incident(A_5690,b2b3) ),
inference(resolution,[status(thm)],[c_30,c_167904]) ).
tff(c_167991,plain,
! [A_5690] :
( ( b2b3 = b1b2 )
| ( b2 = A_5690 )
| ~ incident(A_5690,b1b2)
| ~ incident(A_5690,b2b3) ),
inference(demodulation,[status(thm),theory(equality)],[c_167927,c_167927,c_167926]) ).
tff(c_167992,plain,
b2b3 = b1b2,
inference(splitLeft,[status(thm)],[c_167991]) ).
tff(c_167999,plain,
b1b2 != a2a3,
inference(demodulation,[status(thm),theory(equality)],[c_167992,c_115]) ).
tff(c_168059,plain,
! [C_5695,A_5696] :
( ( a2a3 = C_5695 )
| ( b1 = A_5696 )
| ~ incident(b1,C_5695)
| ~ incident(A_5696,a2a3)
| ~ incident(A_5696,C_5695) ),
inference(resolution,[status(thm)],[c_137731,c_167798]) ).
tff(c_168067,plain,
! [A_5696] :
( ( b1b2 = a2a3 )
| ( b1 = A_5696 )
| ~ incident(A_5696,a2a3)
| ~ incident(A_5696,b1b2) ),
inference(resolution,[status(thm)],[c_26,c_168059]) ).
tff(c_168087,plain,
! [A_5697] :
( ( b1 = A_5697 )
| ~ incident(A_5697,a2a3)
| ~ incident(A_5697,b1b2) ),
inference(negUnitSimplification,[status(thm)],[c_167999,c_168067]) ).
tff(c_168096,plain,
( ( b1 = a2 )
| ~ incident(a2,a2a3) ),
inference(resolution,[status(thm)],[c_167958,c_168087]) ).
tff(c_168129,plain,
b1 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_18,c_168096]) ).
tff(c_168113,plain,
( ( b1 = a3 )
| ~ incident(a3,a2a3) ),
inference(resolution,[status(thm)],[c_164573,c_168087]) ).
tff(c_168142,plain,
b1 = a3,
inference(demodulation,[status(thm),theory(equality)],[c_20,c_168113]) ).
tff(c_168217,plain,
a3 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_168129,c_168142]) ).
tff(c_168219,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_121,c_168217]) ).
tff(c_168248,plain,
! [A_5702] :
( ( b2 = A_5702 )
| ~ incident(A_5702,b1b2)
| ~ incident(A_5702,b2b3) ),
inference(splitRight,[status(thm)],[c_167991]) ).
tff(c_168275,plain,
( ( b2 = a1 )
| ~ incident(a1,b1b2) ),
inference(resolution,[status(thm)],[c_102984,c_168248]) ).
tff(c_168342,plain,
~ incident(a1,b1b2),
inference(splitLeft,[status(thm)],[c_168275]) ).
tff(c_168316,plain,
! [C_5703,A_5704] :
( ( s1 = C_5703 )
| ( b1 = A_5704 )
| ~ incident(b1,C_5703)
| ~ incident(A_5704,s1)
| ~ incident(A_5704,C_5703) ),
inference(resolution,[status(thm)],[c_50,c_167798]) ).
tff(c_168337,plain,
! [A_5704] :
( ( s1 = b1b2 )
| ( b1 = A_5704 )
| ~ incident(A_5704,s1)
| ~ incident(A_5704,b1b2) ),
inference(resolution,[status(thm)],[c_26,c_168316]) ).
tff(c_169626,plain,
s1 = b1b2,
inference(splitLeft,[status(thm)],[c_168337]) ).
tff(c_169634,plain,
incident(a1,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_169626,c_44]) ).
tff(c_169639,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_168342,c_169634]) ).
tff(c_169670,plain,
! [A_5748] :
( ( b1 = A_5748 )
| ~ incident(A_5748,s1)
| ~ incident(A_5748,b1b2) ),
inference(splitRight,[status(thm)],[c_168337]) ).
tff(c_169681,plain,
( ( s = b1 )
| ~ incident(s,b1b2) ),
inference(resolution,[status(thm)],[c_38,c_169670]) ).
tff(c_169696,plain,
s = b1,
inference(demodulation,[status(thm),theory(equality)],[c_167957,c_169681]) ).
tff(c_168262,plain,
( ( p1 = b2 )
| ~ incident(p1,b1b2) ),
inference(resolution,[status(thm)],[c_62,c_168248]) ).
tff(c_168278,plain,
p1 = b2,
inference(demodulation,[status(thm),theory(equality)],[c_167677,c_168262]) ).
tff(c_168294,plain,
incident(b2,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_168278,c_60]) ).
tff(c_168338,plain,
! [A_5704] :
( ( s1 = a2a3 )
| ( b1 = A_5704 )
| ~ incident(A_5704,s1)
| ~ incident(A_5704,a2a3) ),
inference(resolution,[status(thm)],[c_137731,c_168316]) ).
tff(c_169109,plain,
s1 = a2a3,
inference(splitLeft,[status(thm)],[c_168338]) ).
tff(c_169115,plain,
incident(a1,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_169109,c_44]) ).
tff(c_167887,plain,
! [C_5686,A_5688] :
( ( b2b3 = C_5686 )
| ( a1 = A_5688 )
| ~ incident(a1,C_5686)
| ~ incident(A_5688,b2b3)
| ~ incident(A_5688,C_5686) ),
inference(resolution,[status(thm)],[c_102984,c_167798]) ).
tff(c_169140,plain,
! [A_5688] :
( ( b2b3 = a2a3 )
| ( a1 = A_5688 )
| ~ incident(A_5688,b2b3)
| ~ incident(A_5688,a2a3) ),
inference(resolution,[status(thm)],[c_169115,c_167887]) ).
tff(c_169217,plain,
! [A_5732] :
( ( a1 = A_5732 )
| ~ incident(A_5732,b2b3)
| ~ incident(A_5732,a2a3) ),
inference(negUnitSimplification,[status(thm)],[c_115,c_169140]) ).
tff(c_169234,plain,
( ( b2 = a1 )
| ~ incident(b2,a2a3) ),
inference(resolution,[status(thm)],[c_30,c_169217]) ).
tff(c_169248,plain,
b2 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_168294,c_169234]) ).
tff(c_167680,plain,
~ incident(p1,a1a2),
inference(splitLeft,[status(thm)],[c_137736]) ).
tff(c_168290,plain,
~ incident(b2,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_168278,c_167680]) ).
tff(c_169252,plain,
~ incident(a1,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_169248,c_168290]) ).
tff(c_169263,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_169252]) ).
tff(c_169530,plain,
! [A_5743] :
( ( b1 = A_5743 )
| ~ incident(A_5743,s1)
| ~ incident(A_5743,a2a3) ),
inference(splitRight,[status(thm)],[c_168338]) ).
tff(c_169554,plain,
( ( s = b1 )
| ~ incident(s,a2a3) ),
inference(resolution,[status(thm)],[c_38,c_169530]) ).
tff(c_169560,plain,
~ incident(s,a2a3),
inference(splitLeft,[status(thm)],[c_169554]) ).
tff(c_169702,plain,
~ incident(b1,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_169696,c_169560]) ).
tff(c_169712,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_137731,c_169702]) ).
tff(c_169713,plain,
s = b1,
inference(splitRight,[status(thm)],[c_169554]) ).
tff(c_168341,plain,
! [A_5704] :
( ( s1 = b3b1 )
| ( b1 = A_5704 )
| ~ incident(A_5704,s1)
| ~ incident(A_5704,b3b1) ),
inference(resolution,[status(thm)],[c_36,c_168316]) ).
tff(c_168368,plain,
s1 = b3b1,
inference(splitLeft,[status(thm)],[c_168341]) ).
tff(c_167928,plain,
! [C_5691,A_5692] :
( ( b2b3 = C_5691 )
| ( a1 = A_5692 )
| ~ incident(a1,C_5691)
| ~ incident(A_5692,b2b3)
| ~ incident(A_5692,C_5691) ),
inference(resolution,[status(thm)],[c_102984,c_167798]) ).
tff(c_167952,plain,
! [A_5692] :
( ( s1 = b2b3 )
| ( a1 = A_5692 )
| ~ incident(A_5692,b2b3)
| ~ incident(A_5692,s1) ),
inference(resolution,[status(thm)],[c_44,c_167928]) ).
tff(c_168894,plain,
! [A_5692] :
( ( b3b1 = b2b3 )
| ( a1 = A_5692 )
| ~ incident(A_5692,b2b3)
| ~ incident(A_5692,b3b1) ),
inference(demodulation,[status(thm),theory(equality)],[c_168368,c_168368,c_167952]) ).
tff(c_168895,plain,
b3b1 = b2b3,
inference(splitLeft,[status(thm)],[c_168894]) ).
tff(c_168903,plain,
incident(b1,b2b3),
inference(demodulation,[status(thm),theory(equality)],[c_168895,c_36]) ).
tff(c_167888,plain,
! [C_5686,A_5688] :
( ( a2a3 = C_5686 )
| ( p1 = A_5688 )
| ~ incident(p1,C_5686)
| ~ incident(A_5688,a2a3)
| ~ incident(A_5688,C_5686) ),
inference(resolution,[status(thm)],[c_60,c_167798]) ).
tff(c_168410,plain,
! [C_5706,A_5707] :
( ( a2a3 = C_5706 )
| ( b2 = A_5707 )
| ~ incident(b2,C_5706)
| ~ incident(A_5707,a2a3)
| ~ incident(A_5707,C_5706) ),
inference(demodulation,[status(thm),theory(equality)],[c_168278,c_168278,c_167888]) ).
tff(c_168422,plain,
! [A_5707] :
( ( b2b3 = a2a3 )
| ( b2 = A_5707 )
| ~ incident(A_5707,a2a3)
| ~ incident(A_5707,b2b3) ),
inference(resolution,[status(thm)],[c_30,c_168410]) ).
tff(c_168434,plain,
! [A_5707] :
( ( b2 = A_5707 )
| ~ incident(A_5707,a2a3)
| ~ incident(A_5707,b2b3) ),
inference(negUnitSimplification,[status(thm)],[c_115,c_168422]) ).
tff(c_168941,plain,
( ( b2 = b1 )
| ~ incident(b1,a2a3) ),
inference(resolution,[status(thm)],[c_168903,c_168434]) ).
tff(c_168954,plain,
b2 = b1,
inference(demodulation,[status(thm),theory(equality)],[c_137731,c_168941]) ).
tff(c_168956,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_119,c_168954]) ).
tff(c_169005,plain,
! [A_5725] :
( ( a1 = A_5725 )
| ~ incident(A_5725,b2b3)
| ~ incident(A_5725,b3b1) ),
inference(splitRight,[status(thm)],[c_168894]) ).
tff(c_169025,plain,
( ( b3 = a1 )
| ~ incident(b3,b2b3) ),
inference(resolution,[status(thm)],[c_34,c_169005]) ).
tff(c_169040,plain,
b3 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_32,c_169025]) ).
tff(c_164574,plain,
~ incident(b3,a1a2),
inference(splitLeft,[status(thm)],[c_137730]) ).
tff(c_169042,plain,
~ incident(a1,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_169040,c_164574]) ).
tff(c_169051,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_169042]) ).
tff(c_169078,plain,
! [A_5728] :
( ( b1 = A_5728 )
| ~ incident(A_5728,s1)
| ~ incident(A_5728,b3b1) ),
inference(splitRight,[status(thm)],[c_168341]) ).
tff(c_169102,plain,
( ( s = b1 )
| ~ incident(s,b3b1) ),
inference(resolution,[status(thm)],[c_38,c_169078]) ).
tff(c_169108,plain,
~ incident(s,b3b1),
inference(splitLeft,[status(thm)],[c_169102]) ).
tff(c_169741,plain,
~ incident(b1,b3b1),
inference(demodulation,[status(thm),theory(equality)],[c_169713,c_169108]) ).
tff(c_169749,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_36,c_169741]) ).
tff(c_169750,plain,
s = b1,
inference(splitRight,[status(thm)],[c_169102]) ).
tff(c_169756,plain,
incident(b1,s3),
inference(demodulation,[status(thm),theory(equality)],[c_169750,c_42]) ).
tff(c_167878,plain,
! [C_5686,A_5688] :
( ( a2a3 = C_5686 )
| ( b1 = A_5688 )
| ~ incident(b1,C_5686)
| ~ incident(A_5688,a2a3)
| ~ incident(A_5688,C_5686) ),
inference(resolution,[status(thm)],[c_137731,c_167798]) ).
tff(c_169778,plain,
! [A_5688] :
( ( s3 = a2a3 )
| ( b1 = A_5688 )
| ~ incident(A_5688,a2a3)
| ~ incident(A_5688,s3) ),
inference(resolution,[status(thm)],[c_169756,c_167878]) ).
tff(c_171313,plain,
s3 = a2a3,
inference(splitLeft,[status(thm)],[c_169778]) ).
tff(c_171321,plain,
incident(b3,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_171313,c_54]) ).
tff(c_171326,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_169942,c_171321]) ).
tff(c_171360,plain,
! [A_5800] :
( ( b1 = A_5800 )
| ~ incident(A_5800,a2a3)
| ~ incident(A_5800,s3) ),
inference(splitRight,[status(thm)],[c_169778]) ).
tff(c_171377,plain,
( ( b1 = a3 )
| ~ incident(a3,a2a3) ),
inference(resolution,[status(thm)],[c_48,c_171360]) ).
tff(c_171392,plain,
b1 = a3,
inference(demodulation,[status(thm),theory(equality)],[c_20,c_171377]) ).
tff(c_167953,plain,
! [A_5692] :
( ( b2b3 = a3a1 )
| ( a1 = A_5692 )
| ~ incident(A_5692,b2b3)
| ~ incident(A_5692,a3a1) ),
inference(resolution,[status(thm)],[c_24,c_167928]) ).
tff(c_170361,plain,
b2b3 = a3a1,
inference(splitLeft,[status(thm)],[c_167953]) ).
tff(c_168220,plain,
! [A_5690] :
( ( b2 = A_5690 )
| ~ incident(A_5690,b1b2)
| ~ incident(A_5690,b2b3) ),
inference(splitRight,[status(thm)],[c_167991]) ).
tff(c_170510,plain,
! [A_5773] :
( ( b2 = A_5773 )
| ~ incident(A_5773,b1b2)
| ~ incident(A_5773,a3a1) ),
inference(demodulation,[status(thm),theory(equality)],[c_170361,c_168220]) ).
tff(c_170524,plain,
( ( b2 = a3 )
| ~ incident(a3,a3a1) ),
inference(resolution,[status(thm)],[c_164573,c_170510]) ).
tff(c_170540,plain,
b2 = a3,
inference(demodulation,[status(thm),theory(equality)],[c_22,c_170524]) ).
tff(c_170557,plain,
b1 != a3,
inference(demodulation,[status(thm),theory(equality)],[c_170540,c_119]) ).
tff(c_170830,plain,
s3 = a2a3,
inference(splitLeft,[status(thm)],[c_169778]) ).
tff(c_167898,plain,
! [C_5686,A_5688] :
( ( b2b3 = C_5686 )
| ( b3 = A_5688 )
| ~ incident(b3,C_5686)
| ~ incident(A_5688,b2b3)
| ~ incident(A_5688,C_5686) ),
inference(resolution,[status(thm)],[c_32,c_167798]) ).
tff(c_170393,plain,
! [C_5769,A_5770] :
( ( a3a1 = C_5769 )
| ( b3 = A_5770 )
| ~ incident(b3,C_5769)
| ~ incident(A_5770,a3a1)
| ~ incident(A_5770,C_5769) ),
inference(demodulation,[status(thm),theory(equality)],[c_170361,c_170361,c_167898]) ).
tff(c_170405,plain,
! [A_5770] :
( ( b3b1 = a3a1 )
| ( b3 = A_5770 )
| ~ incident(A_5770,a3a1)
| ~ incident(A_5770,b3b1) ),
inference(resolution,[status(thm)],[c_34,c_170393]) ).
tff(c_170462,plain,
! [A_5772] :
( ( b3 = A_5772 )
| ~ incident(A_5772,a3a1)
| ~ incident(A_5772,b3b1) ),
inference(negUnitSimplification,[status(thm)],[c_114,c_170405]) ).
tff(c_170473,plain,
( ( p2 = b3 )
| ~ incident(p2,a3a1) ),
inference(resolution,[status(thm)],[c_66,c_170462]) ).
tff(c_170488,plain,
p2 = b3,
inference(demodulation,[status(thm),theory(equality)],[c_64,c_170473]) ).
tff(c_169944,plain,
! [C_5754,A_5755] :
( ( b1b2 = C_5754 )
| ( p3 = A_5755 )
| ~ incident(p3,C_5754)
| ~ incident(A_5755,b1b2)
| ~ incident(A_5755,C_5754) ),
inference(resolution,[status(thm)],[c_58,c_167798]) ).
tff(c_169954,plain,
! [A_5755] :
( ( b1b2 = a1a2 )
| ( p3 = A_5755 )
| ~ incident(A_5755,b1b2)
| ~ incident(A_5755,a1a2) ),
inference(resolution,[status(thm)],[c_56,c_169944]) ).
tff(c_169966,plain,
! [A_5756] :
( ( p3 = A_5756 )
| ~ incident(A_5756,b1b2)
| ~ incident(A_5756,a1a2) ),
inference(negUnitSimplification,[status(thm)],[c_116,c_169954]) ).
tff(c_169969,plain,
( ( p3 = a2 )
| ~ incident(a2,a1a2) ),
inference(resolution,[status(thm)],[c_167958,c_169966]) ).
tff(c_169992,plain,
p3 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_169969]) ).
tff(c_168293,plain,
! [A_1] :
( ~ incident(p2,A_1)
| ~ incident(b2,A_1)
| ~ incident(p3,A_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_168278,c_125]) ).
tff(c_170009,plain,
! [A_1] :
( ~ incident(p2,A_1)
| ~ incident(b2,A_1)
| ~ incident(a2,A_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_169992,c_168293]) ).
tff(c_170495,plain,
! [A_1] :
( ~ incident(b3,A_1)
| ~ incident(b2,A_1)
| ~ incident(a2,A_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_170488,c_170009]) ).
tff(c_170573,plain,
! [A_5774] :
( ~ incident(b3,A_5774)
| ~ incident(a3,A_5774)
| ~ incident(a2,A_5774) ),
inference(demodulation,[status(thm),theory(equality)],[c_170540,c_170495]) ).
tff(c_170587,plain,
( ~ incident(a3,s3)
| ~ incident(a2,s3) ),
inference(resolution,[status(thm)],[c_54,c_170573]) ).
tff(c_170602,plain,
~ incident(a2,s3),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_170587]) ).
tff(c_170831,plain,
~ incident(a2,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_170830,c_170602]) ).
tff(c_170838,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_18,c_170831]) ).
tff(c_170841,plain,
! [A_5783] :
( ( b1 = A_5783 )
| ~ incident(A_5783,a2a3)
| ~ incident(A_5783,s3) ),
inference(splitRight,[status(thm)],[c_169778]) ).
tff(c_170858,plain,
( ( b1 = a3 )
| ~ incident(a3,a2a3) ),
inference(resolution,[status(thm)],[c_48,c_170841]) ).
tff(c_170873,plain,
b1 = a3,
inference(demodulation,[status(thm),theory(equality)],[c_20,c_170858]) ).
tff(c_170875,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_170557,c_170873]) ).
tff(c_170878,plain,
! [A_5784] :
( ( a1 = A_5784 )
| ~ incident(A_5784,b2b3)
| ~ incident(A_5784,a3a1) ),
inference(splitRight,[status(thm)],[c_167953]) ).
tff(c_170906,plain,
( ( b3 = a1 )
| ~ incident(b3,a3a1) ),
inference(resolution,[status(thm)],[c_32,c_170878]) ).
tff(c_170931,plain,
~ incident(b3,a3a1),
inference(splitLeft,[status(thm)],[c_170906]) ).
tff(c_171083,plain,
! [C_5790,A_5791] :
( ( s3 = C_5790 )
| ( a3 = A_5791 )
| ~ incident(a3,C_5790)
| ~ incident(A_5791,s3)
| ~ incident(A_5791,C_5790) ),
inference(resolution,[status(thm)],[c_48,c_167798]) ).
tff(c_171105,plain,
! [A_5791] :
( ( s3 = a3a1 )
| ( a3 = A_5791 )
| ~ incident(A_5791,s3)
| ~ incident(A_5791,a3a1) ),
inference(resolution,[status(thm)],[c_22,c_171083]) ).
tff(c_171160,plain,
s3 = a3a1,
inference(splitLeft,[status(thm)],[c_171105]) ).
tff(c_171164,plain,
incident(b3,a3a1),
inference(demodulation,[status(thm),theory(equality)],[c_171160,c_54]) ).
tff(c_171168,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_170931,c_171164]) ).
tff(c_171171,plain,
! [A_5793] :
( ( a3 = A_5793 )
| ~ incident(A_5793,s3)
| ~ incident(A_5793,a3a1) ),
inference(splitRight,[status(thm)],[c_171105]) ).
tff(c_171189,plain,
( ( b1 = a3 )
| ~ incident(b1,a3a1) ),
inference(resolution,[status(thm)],[c_169756,c_171171]) ).
tff(c_171225,plain,
~ incident(b1,a3a1),
inference(splitLeft,[status(thm)],[c_171189]) ).
tff(c_171394,plain,
~ incident(a3,a3a1),
inference(demodulation,[status(thm),theory(equality)],[c_171392,c_171225]) ).
tff(c_171413,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_22,c_171394]) ).
tff(c_171414,plain,
b1 = a3,
inference(splitRight,[status(thm)],[c_171189]) ).
tff(c_171451,plain,
incident(a3,b3b1),
inference(demodulation,[status(thm),theory(equality)],[c_171414,c_36]) ).
tff(c_167894,plain,
! [C_5686,A_5688] :
( ( a3a1 = C_5686 )
| ( a3 = A_5688 )
| ~ incident(a3,C_5686)
| ~ incident(A_5688,a3a1)
| ~ incident(A_5688,C_5686) ),
inference(resolution,[status(thm)],[c_22,c_167798]) ).
tff(c_171467,plain,
! [A_5688] :
( ( b3b1 = a3a1 )
| ( a3 = A_5688 )
| ~ incident(A_5688,a3a1)
| ~ incident(A_5688,b3b1) ),
inference(resolution,[status(thm)],[c_171451,c_167894]) ).
tff(c_171601,plain,
! [A_5807] :
( ( a3 = A_5807 )
| ~ incident(A_5807,a3a1)
| ~ incident(A_5807,b3b1) ),
inference(negUnitSimplification,[status(thm)],[c_114,c_171467]) ).
tff(c_171615,plain,
( ( p2 = a3 )
| ~ incident(p2,a3a1) ),
inference(resolution,[status(thm)],[c_66,c_171601]) ).
tff(c_171631,plain,
p2 = a3,
inference(demodulation,[status(thm),theory(equality)],[c_64,c_171615]) ).
tff(c_169935,plain,
( ( p2 = b1 )
| ~ incident(p2,a2a3) ),
inference(resolution,[status(thm)],[c_66,c_169911]) ).
tff(c_169943,plain,
~ incident(p2,a2a3),
inference(splitLeft,[status(thm)],[c_169935]) ).
tff(c_171638,plain,
~ incident(a3,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_171631,c_169943]) ).
tff(c_171644,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_20,c_171638]) ).
tff(c_171645,plain,
b3 = a1,
inference(splitRight,[status(thm)],[c_170906]) ).
tff(c_171650,plain,
~ incident(a1,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_171645,c_164574]) ).
tff(c_171659,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_171650]) ).
tff(c_171660,plain,
p2 = b1,
inference(splitRight,[status(thm)],[c_169935]) ).
tff(c_167676,plain,
~ incident(p2,b1b2),
inference(splitRight,[status(thm)],[c_137740]) ).
tff(c_171665,plain,
~ incident(b1,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_171660,c_167676]) ).
tff(c_171671,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_26,c_171665]) ).
tff(c_171672,plain,
b2 = a1,
inference(splitRight,[status(thm)],[c_168275]) ).
tff(c_171675,plain,
~ incident(a1,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_171672,c_168290]) ).
tff(c_171686,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_171675]) ).
tff(c_171712,plain,
! [A_5810] :
( ( b2 = A_5810 )
| ~ incident(A_5810,s2)
| ~ incident(A_5810,b1b2) ),
inference(splitRight,[status(thm)],[c_167925]) ).
tff(c_171741,plain,
( ( b2 = a2 )
| ~ incident(a2,b1b2) ),
inference(resolution,[status(thm)],[c_46,c_171712]) ).
tff(c_171769,plain,
~ incident(a2,b1b2),
inference(splitLeft,[status(thm)],[c_171741]) ).
tff(c_172647,plain,
~ incident(a2,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_172644,c_171769]) ).
tff(c_172659,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_18,c_172647]) ).
tff(c_172662,plain,
! [A_5842] :
( ( b1 = A_5842 )
| ~ incident(A_5842,a2a3)
| ~ incident(A_5842,b1b2) ),
inference(splitRight,[status(thm)],[c_172038]) ).
tff(c_172673,plain,
( ( b1 = a3 )
| ~ incident(a3,a2a3) ),
inference(resolution,[status(thm)],[c_164573,c_172662]) ).
tff(c_172691,plain,
b1 = a3,
inference(demodulation,[status(thm),theory(equality)],[c_20,c_172673]) ).
tff(c_172714,plain,
b3 != a3,
inference(demodulation,[status(thm),theory(equality)],[c_172691,c_117]) ).
tff(c_171743,plain,
! [C_5811,A_5812] :
( ( b2b3 = C_5811 )
| ( a1 = A_5812 )
| ~ incident(a1,C_5811)
| ~ incident(A_5812,b2b3)
| ~ incident(A_5812,C_5811) ),
inference(resolution,[status(thm)],[c_102984,c_167798]) ).
tff(c_171767,plain,
! [A_5812] :
( ( s1 = b2b3 )
| ( a1 = A_5812 )
| ~ incident(A_5812,b2b3)
| ~ incident(A_5812,s1) ),
inference(resolution,[status(thm)],[c_44,c_171743]) ).
tff(c_171770,plain,
s1 = b2b3,
inference(splitLeft,[status(thm)],[c_171767]) ).
tff(c_171774,plain,
incident(b1,b2b3),
inference(demodulation,[status(thm),theory(equality)],[c_171770,c_50]) ).
tff(c_172708,plain,
incident(a3,b2b3),
inference(demodulation,[status(thm),theory(equality)],[c_172691,c_171774]) ).
tff(c_172712,plain,
incident(a3,b3b1),
inference(demodulation,[status(thm),theory(equality)],[c_172691,c_36]) ).
tff(c_172792,plain,
! [C_5844,A_5845] :
( ( b2b3 = C_5844 )
| ( b3 = A_5845 )
| ~ incident(b3,C_5844)
| ~ incident(A_5845,b2b3)
| ~ incident(A_5845,C_5844) ),
inference(resolution,[status(thm)],[c_32,c_167798]) ).
tff(c_172817,plain,
! [A_5845] :
( ( b3b1 = b2b3 )
| ( b3 = A_5845 )
| ~ incident(A_5845,b2b3)
| ~ incident(A_5845,b3b1) ),
inference(resolution,[status(thm)],[c_34,c_172792]) ).
tff(c_172909,plain,
b3b1 = b2b3,
inference(splitLeft,[status(thm)],[c_172817]) ).
tff(c_172915,plain,
b2b3 != a3a1,
inference(demodulation,[status(thm),theory(equality)],[c_172909,c_114]) ).
tff(c_171768,plain,
! [A_5812] :
( ( b2b3 = a3a1 )
| ( a1 = A_5812 )
| ~ incident(A_5812,b2b3)
| ~ incident(A_5812,a3a1) ),
inference(resolution,[status(thm)],[c_24,c_171743]) ).
tff(c_172948,plain,
! [A_5849] :
( ( a1 = A_5849 )
| ~ incident(A_5849,b2b3)
| ~ incident(A_5849,a3a1) ),
inference(negUnitSimplification,[status(thm)],[c_172915,c_171768]) ).
tff(c_172954,plain,
( ( a3 = a1 )
| ~ incident(a3,a3a1) ),
inference(resolution,[status(thm)],[c_172708,c_172948]) ).
tff(c_172977,plain,
a3 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_22,c_172954]) ).
tff(c_172979,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_120,c_172977]) ).
tff(c_172982,plain,
! [A_5850] :
( ( b3 = A_5850 )
| ~ incident(A_5850,b2b3)
| ~ incident(A_5850,b3b1) ),
inference(splitRight,[status(thm)],[c_172817]) ).
tff(c_172985,plain,
( ( b3 = a3 )
| ~ incident(a3,b2b3) ),
inference(resolution,[status(thm)],[c_172712,c_172982]) ).
tff(c_173002,plain,
b3 = a3,
inference(demodulation,[status(thm),theory(equality)],[c_172708,c_172985]) ).
tff(c_173004,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_172714,c_173002]) ).
tff(c_173007,plain,
! [A_5851] :
( ( a1 = A_5851 )
| ~ incident(A_5851,b2b3)
| ~ incident(A_5851,s1) ),
inference(splitRight,[status(thm)],[c_171767]) ).
tff(c_173036,plain,
( ( b1 = a1 )
| ~ incident(b1,b2b3) ),
inference(resolution,[status(thm)],[c_50,c_173007]) ).
tff(c_173060,plain,
~ incident(b1,b2b3),
inference(splitLeft,[status(thm)],[c_173036]) ).
tff(c_174190,plain,
~ incident(b1,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_174176,c_173060]) ).
tff(c_174203,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_26,c_174190]) ).
tff(c_174206,plain,
! [A_5891] :
( ( p1 = A_5891 )
| ~ incident(A_5891,b2b3)
| ~ incident(A_5891,b1b2) ),
inference(splitRight,[status(thm)],[c_173833]) ).
tff(c_174226,plain,
( ( p1 = b2 )
| ~ incident(b2,b1b2) ),
inference(resolution,[status(thm)],[c_30,c_174206]) ).
tff(c_174241,plain,
p1 = b2,
inference(demodulation,[status(thm),theory(equality)],[c_28,c_174226]) ).
tff(c_174254,plain,
incident(b2,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_174241,c_60]) ).
tff(c_174259,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_173873,c_174254]) ).
tff(c_174261,plain,
incident(b2,a2a3),
inference(splitRight,[status(thm)],[c_173872]) ).
tff(c_173143,plain,
! [C_5857,A_5858] :
( ( a2a3 = C_5857 )
| ( b1 = A_5858 )
| ~ incident(b1,C_5857)
| ~ incident(A_5858,a2a3)
| ~ incident(A_5858,C_5857) ),
inference(resolution,[status(thm)],[c_137731,c_167798]) ).
tff(c_173164,plain,
! [A_5858] :
( ( b1b2 = a2a3 )
| ( b1 = A_5858 )
| ~ incident(A_5858,a2a3)
| ~ incident(A_5858,b1b2) ),
inference(resolution,[status(thm)],[c_26,c_173143]) ).
tff(c_174534,plain,
b1b2 = a2a3,
inference(splitLeft,[status(thm)],[c_173164]) ).
tff(c_174544,plain,
~ incident(a2,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_174534,c_171769]) ).
tff(c_174557,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_18,c_174544]) ).
tff(c_174620,plain,
! [A_5905] :
( ( b1 = A_5905 )
| ~ incident(A_5905,a2a3)
| ~ incident(A_5905,b1b2) ),
inference(splitRight,[status(thm)],[c_173164]) ).
tff(c_174640,plain,
( ( b2 = b1 )
| ~ incident(b2,a2a3) ),
inference(resolution,[status(thm)],[c_28,c_174620]) ).
tff(c_174657,plain,
b2 = b1,
inference(demodulation,[status(thm),theory(equality)],[c_174261,c_174640]) ).
tff(c_174659,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_119,c_174657]) ).
tff(c_174660,plain,
b1 = a1,
inference(splitRight,[status(thm)],[c_173036]) ).
tff(c_174664,plain,
incident(a1,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_174660,c_137731]) ).
tff(c_174676,plain,
! [A_5688] :
( ( b2b3 = a2a3 )
| ( a1 = A_5688 )
| ~ incident(A_5688,b2b3)
| ~ incident(A_5688,a2a3) ),
inference(resolution,[status(thm)],[c_174664,c_167887]) ).
tff(c_174823,plain,
! [A_5909] :
( ( a1 = A_5909 )
| ~ incident(A_5909,b2b3)
| ~ incident(A_5909,a2a3) ),
inference(negUnitSimplification,[status(thm)],[c_115,c_174676]) ).
tff(c_174837,plain,
( ( p1 = a1 )
| ~ incident(p1,a2a3) ),
inference(resolution,[status(thm)],[c_62,c_174823]) ).
tff(c_174856,plain,
p1 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_60,c_174837]) ).
tff(c_174863,plain,
~ incident(a1,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_174856,c_167680]) ).
tff(c_174870,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_174863]) ).
tff(c_174871,plain,
b2 = a2,
inference(splitRight,[status(thm)],[c_171741]) ).
tff(c_174878,plain,
incident(a2,b2b3),
inference(demodulation,[status(thm),theory(equality)],[c_174871,c_30]) ).
tff(c_171764,plain,
! [A_5812] :
( ( b2b3 = a1a2 )
| ( a1 = A_5812 )
| ~ incident(A_5812,b2b3)
| ~ incident(A_5812,a1a2) ),
inference(resolution,[status(thm)],[c_14,c_171743]) ).
tff(c_175188,plain,
b2b3 = a1a2,
inference(splitLeft,[status(thm)],[c_171764]) ).
tff(c_175195,plain,
incident(p1,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_175188,c_62]) ).
tff(c_175202,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_167680,c_175195]) ).
tff(c_175205,plain,
! [A_5921] :
( ( a1 = A_5921 )
| ~ incident(A_5921,b2b3)
| ~ incident(A_5921,a1a2) ),
inference(splitRight,[status(thm)],[c_171764]) ).
tff(c_175208,plain,
( ( a2 = a1 )
| ~ incident(a2,a1a2) ),
inference(resolution,[status(thm)],[c_174878,c_175205]) ).
tff(c_175228,plain,
a2 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_175208]) ).
tff(c_175230,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_122,c_175228]) ).
tff(c_175232,plain,
incident(p1,a1a2),
inference(splitRight,[status(thm)],[c_137736]) ).
tff(c_175648,plain,
( ( p3 = p1 )
| ~ incident(p1,a1a2) ),
inference(resolution,[status(thm)],[c_60,c_175622]) ).
tff(c_175667,plain,
p3 = p1,
inference(demodulation,[status(thm),theory(equality)],[c_175232,c_175648]) ).
tff(c_175708,plain,
p1 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_175663,c_175667]) ).
tff(c_175328,plain,
! [A_5932,B_5933] :
( incident(A_5932,'#skF_1'(A_5932,B_5933))
| ~ point(B_5933)
| ~ point(A_5932) ),
inference(cnfTransformation,[status(thm)],[f_162]) ).
tff(c_175338,plain,
! [B_5933] :
( ~ incident(p2,'#skF_1'(p3,B_5933))
| ~ incident(p1,'#skF_1'(p3,B_5933))
| ~ point(B_5933)
| ~ point(p3) ),
inference(resolution,[status(thm)],[c_175328,c_125]) ).
tff(c_175352,plain,
! [B_5935] :
( ~ incident(p2,'#skF_1'(p3,B_5935))
| ~ incident(p1,'#skF_1'(p3,B_5935))
| ~ point(B_5935) ),
inference(demodulation,[status(thm),theory(equality)],[c_137834,c_175338]) ).
tff(c_175356,plain,
( ~ incident(p1,'#skF_1'(p3,p2))
| ~ point(p2)
| ~ point(p3) ),
inference(resolution,[status(thm)],[c_105,c_175352]) ).
tff(c_175359,plain,
~ incident(p1,'#skF_1'(p3,p2)),
inference(demodulation,[status(thm),theory(equality)],[c_137834,c_137850,c_175356]) ).
tff(c_175671,plain,
~ incident(p1,'#skF_1'(a2,p2)),
inference(demodulation,[status(thm),theory(equality)],[c_175663,c_175359]) ).
tff(c_175736,plain,
~ incident(a2,'#skF_1'(a2,p2)),
inference(demodulation,[status(thm),theory(equality)],[c_175708,c_175671]) ).
tff(c_175739,plain,
( ~ point(p2)
| ~ point(a2) ),
inference(resolution,[status(thm)],[c_107,c_175736]) ).
tff(c_175743,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_137835,c_137850,c_175739]) ).
tff(c_175800,plain,
! [A_5952] :
( ( a3 = A_5952 )
| ~ incident(A_5952,b1b2)
| ~ incident(A_5952,a2a3) ),
inference(splitRight,[status(thm)],[c_175492]) ).
tff(c_175820,plain,
( ( b1 = a3 )
| ~ incident(b1,a2a3) ),
inference(resolution,[status(thm)],[c_26,c_175800]) ).
tff(c_175840,plain,
b1 = a3,
inference(demodulation,[status(thm),theory(equality)],[c_137731,c_175820]) ).
tff(c_175746,plain,
! [C_5949,A_5950] :
( ( a3a1 = C_5949 )
| ( p2 = A_5950 )
| ~ incident(p2,C_5949)
| ~ incident(A_5950,a3a1)
| ~ incident(A_5950,C_5949) ),
inference(resolution,[status(thm)],[c_64,c_175360]) ).
tff(c_175756,plain,
! [A_5950] :
( ( b3b1 = a3a1 )
| ( p2 = A_5950 )
| ~ incident(A_5950,a3a1)
| ~ incident(A_5950,b3b1) ),
inference(resolution,[status(thm)],[c_66,c_175746]) ).
tff(c_175768,plain,
! [A_5951] :
( ( p2 = A_5951 )
| ~ incident(A_5951,a3a1)
| ~ incident(A_5951,b3b1) ),
inference(negUnitSimplification,[status(thm)],[c_114,c_175756]) ).
tff(c_175796,plain,
( ( p2 = b1 )
| ~ incident(b1,a3a1) ),
inference(resolution,[status(thm)],[c_36,c_175768]) ).
tff(c_175798,plain,
~ incident(b1,a3a1),
inference(splitLeft,[status(thm)],[c_175796]) ).
tff(c_175859,plain,
~ incident(a3,a3a1),
inference(demodulation,[status(thm),theory(equality)],[c_175840,c_175798]) ).
tff(c_175869,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_22,c_175859]) ).
tff(c_175870,plain,
p2 = b1,
inference(splitRight,[status(thm)],[c_175796]) ).
tff(c_175902,plain,
~ incident(b1,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_175870,c_167676]) ).
tff(c_175909,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_26,c_175902]) ).
tff(c_175911,plain,
incident(b3,a1a2),
inference(splitRight,[status(thm)],[c_137730]) ).
tff(c_186933,plain,
! [C_6373,A_6374] :
( ( a1a2 = C_6373 )
| ( b3 = A_6374 )
| ~ incident(b3,C_6373)
| ~ incident(A_6374,a1a2)
| ~ incident(A_6374,C_6373) ),
inference(resolution,[status(thm)],[c_175911,c_186821]) ).
tff(c_186956,plain,
! [A_6374] :
( ( s3 = a1a2 )
| ( b3 = A_6374 )
| ~ incident(A_6374,a1a2)
| ~ incident(A_6374,s3) ),
inference(resolution,[status(thm)],[c_54,c_186933]) ).
tff(c_186985,plain,
s3 = a1a2,
inference(splitLeft,[status(thm)],[c_186956]) ).
tff(c_186983,plain,
! [A_6376] :
( ( s3 = a2a3 )
| ( a3 = A_6376 )
| ~ incident(A_6376,a2a3)
| ~ incident(A_6376,s3) ),
inference(resolution,[status(thm)],[c_48,c_186959]) ).
tff(c_187123,plain,
! [A_6376] :
( ( a2a3 = a1a2 )
| ( a3 = A_6376 )
| ~ incident(A_6376,a2a3)
| ~ incident(A_6376,a1a2) ),
inference(demodulation,[status(thm),theory(equality)],[c_186985,c_186985,c_186983]) ).
tff(c_187125,plain,
! [A_6381] :
( ( a3 = A_6381 )
| ~ incident(A_6381,a2a3)
| ~ incident(A_6381,a1a2) ),
inference(negUnitSimplification,[status(thm)],[c_187059,c_187123]) ).
tff(c_187145,plain,
( ( a3 = a2 )
| ~ incident(a2,a1a2) ),
inference(resolution,[status(thm)],[c_18,c_187125]) ).
tff(c_187165,plain,
a3 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_187145]) ).
tff(c_187167,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_121,c_187165]) ).
tff(c_187196,plain,
! [A_6384] :
( ( a3 = A_6384 )
| ~ incident(A_6384,a2a3)
| ~ incident(A_6384,b1b2) ),
inference(splitRight,[status(thm)],[c_186980]) ).
tff(c_187216,plain,
( ( b1 = a3 )
| ~ incident(b1,a2a3) ),
inference(resolution,[status(thm)],[c_26,c_187196]) ).
tff(c_187236,plain,
b1 = a3,
inference(demodulation,[status(thm),theory(equality)],[c_137731,c_187216]) ).
tff(c_187261,plain,
incident(a3,b3b1),
inference(demodulation,[status(thm),theory(equality)],[c_187236,c_36]) ).
tff(c_187271,plain,
! [C_6385,A_6386] :
( ( b3b1 = C_6385 )
| ( p2 = A_6386 )
| ~ incident(p2,C_6385)
| ~ incident(A_6386,b3b1)
| ~ incident(A_6386,C_6385) ),
inference(resolution,[status(thm)],[c_66,c_186821]) ).
tff(c_187279,plain,
! [A_6386] :
( ( b3b1 = a3a1 )
| ( p2 = A_6386 )
| ~ incident(A_6386,b3b1)
| ~ incident(A_6386,a3a1) ),
inference(resolution,[status(thm)],[c_64,c_187271]) ).
tff(c_187325,plain,
! [A_6387] :
( ( p2 = A_6387 )
| ~ incident(A_6387,b3b1)
| ~ incident(A_6387,a3a1) ),
inference(negUnitSimplification,[status(thm)],[c_114,c_187279]) ).
tff(c_187328,plain,
( ( p2 = a3 )
| ~ incident(a3,a3a1) ),
inference(resolution,[status(thm)],[c_187261,c_187325]) ).
tff(c_187345,plain,
p2 = a3,
inference(demodulation,[status(thm),theory(equality)],[c_22,c_187328]) ).
tff(c_176959,plain,
! [D_6009,C_6010,B_6011,A_6012] :
( ( D_6009 = C_6010 )
| ( B_6011 = A_6012 )
| ~ incident(B_6011,D_6009)
| ~ incident(B_6011,C_6010)
| ~ incident(A_6012,D_6009)
| ~ incident(A_6012,C_6010) ),
inference(cnfTransformation,[status(thm)],[f_153]) ).
tff(c_180078,plain,
! [C_6118,A_6119] :
( ( b2b3 = C_6118 )
| ( p1 = A_6119 )
| ~ incident(p1,C_6118)
| ~ incident(A_6119,b2b3)
| ~ incident(A_6119,C_6118) ),
inference(resolution,[status(thm)],[c_62,c_176959]) ).
tff(c_180088,plain,
! [A_6119] :
( ( b2b3 = a2a3 )
| ( p1 = A_6119 )
| ~ incident(A_6119,b2b3)
| ~ incident(A_6119,a2a3) ),
inference(resolution,[status(thm)],[c_60,c_180078]) ).
tff(c_180126,plain,
! [A_6120] :
( ( p1 = A_6120 )
| ~ incident(A_6120,b2b3)
| ~ incident(A_6120,a2a3) ),
inference(negUnitSimplification,[status(thm)],[c_115,c_180088]) ).
tff(c_180153,plain,
( ( p1 = a1 )
| ~ incident(a1,a2a3) ),
inference(resolution,[status(thm)],[c_102984,c_180126]) ).
tff(c_180160,plain,
~ incident(a1,a2a3),
inference(splitLeft,[status(thm)],[c_180153]) ).
tff(c_175925,plain,
~ incident(p1,a1a2),
inference(splitLeft,[status(thm)],[c_137736]) ).
tff(c_176046,plain,
! [D_5969,C_5970,B_5971,A_5972] :
( ( D_5969 = C_5970 )
| ( B_5971 = A_5972 )
| ~ incident(B_5971,D_5969)
| ~ incident(B_5971,C_5970)
| ~ incident(A_5972,D_5969)
| ~ incident(A_5972,C_5970) ),
inference(cnfTransformation,[status(thm)],[f_153]) ).
tff(c_176192,plain,
! [C_5975,A_5976] :
( ( b2b3 = C_5975 )
| ( a1 = A_5976 )
| ~ incident(a1,C_5975)
| ~ incident(A_5976,b2b3)
| ~ incident(A_5976,C_5975) ),
inference(resolution,[status(thm)],[c_102984,c_176046]) ).
tff(c_176213,plain,
! [A_5976] :
( ( b2b3 = a1a2 )
| ( a1 = A_5976 )
| ~ incident(A_5976,b2b3)
| ~ incident(A_5976,a1a2) ),
inference(resolution,[status(thm)],[c_14,c_176192]) ).
tff(c_176325,plain,
b2b3 = a1a2,
inference(splitLeft,[status(thm)],[c_176213]) ).
tff(c_176329,plain,
incident(p1,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_176325,c_62]) ).
tff(c_176336,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_175925,c_176329]) ).
tff(c_176373,plain,
! [A_5982] :
( ( a1 = A_5982 )
| ~ incident(A_5982,b2b3)
| ~ incident(A_5982,a1a2) ),
inference(splitRight,[status(thm)],[c_176213]) ).
tff(c_176390,plain,
( ( b3 = a1 )
| ~ incident(b3,a1a2) ),
inference(resolution,[status(thm)],[c_32,c_176373]) ).
tff(c_176407,plain,
b3 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_175911,c_176390]) ).
tff(c_176414,plain,
incident(a1,b3b1),
inference(demodulation,[status(thm),theory(equality)],[c_176407,c_34]) ).
tff(c_176152,plain,
! [C_5973,A_5974] :
( ( b1b2 = C_5973 )
| ( a3 = A_5974 )
| ~ incident(a3,C_5973)
| ~ incident(A_5974,b1b2)
| ~ incident(A_5974,C_5973) ),
inference(resolution,[status(thm)],[c_164573,c_176046]) ).
tff(c_176175,plain,
! [A_5974] :
( ( b1b2 = a2a3 )
| ( a3 = A_5974 )
| ~ incident(A_5974,b1b2)
| ~ incident(A_5974,a2a3) ),
inference(resolution,[status(thm)],[c_20,c_176152]) ).
tff(c_176178,plain,
b1b2 = a2a3,
inference(splitLeft,[status(thm)],[c_176175]) ).
tff(c_175912,plain,
~ incident(p1,b1b2),
inference(splitLeft,[status(thm)],[c_137740]) ).
tff(c_176180,plain,
~ incident(p1,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_176178,c_175912]) ).
tff(c_176189,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_60,c_176180]) ).
tff(c_176218,plain,
! [A_5977] :
( ( a3 = A_5977 )
| ~ incident(A_5977,b1b2)
| ~ incident(A_5977,a2a3) ),
inference(splitRight,[status(thm)],[c_176175]) ).
tff(c_176235,plain,
( ( b1 = a3 )
| ~ incident(b1,a2a3) ),
inference(resolution,[status(thm)],[c_26,c_176218]) ).
tff(c_176252,plain,
b1 = a3,
inference(demodulation,[status(thm),theory(equality)],[c_137731,c_176235]) ).
tff(c_176258,plain,
incident(a3,b3b1),
inference(demodulation,[status(thm),theory(equality)],[c_176252,c_36]) ).
tff(c_176769,plain,
! [C_5992,A_5993] :
( ( a3a1 = C_5992 )
| ( a3 = A_5993 )
| ~ incident(a3,C_5992)
| ~ incident(A_5993,a3a1)
| ~ incident(A_5993,C_5992) ),
inference(resolution,[status(thm)],[c_22,c_176046]) ).
tff(c_176773,plain,
! [A_5993] :
( ( b3b1 = a3a1 )
| ( a3 = A_5993 )
| ~ incident(A_5993,a3a1)
| ~ incident(A_5993,b3b1) ),
inference(resolution,[status(thm)],[c_176258,c_176769]) ).
tff(c_176804,plain,
! [A_5994] :
( ( a3 = A_5994 )
| ~ incident(A_5994,a3a1)
| ~ incident(A_5994,b3b1) ),
inference(negUnitSimplification,[status(thm)],[c_114,c_176773]) ).
tff(c_176807,plain,
( ( a3 = a1 )
| ~ incident(a1,a3a1) ),
inference(resolution,[status(thm)],[c_176414,c_176804]) ).
tff(c_176824,plain,
a3 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_24,c_176807]) ).
tff(c_176826,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_120,c_176824]) ).
tff(c_176828,plain,
incident(p1,a1a2),
inference(splitRight,[status(thm)],[c_137736]) ).
tff(c_177068,plain,
! [C_6013,A_6014] :
( ( b1b2 = C_6013 )
| ( a3 = A_6014 )
| ~ incident(a3,C_6013)
| ~ incident(A_6014,b1b2)
| ~ incident(A_6014,C_6013) ),
inference(resolution,[status(thm)],[c_164573,c_176959]) ).
tff(c_177091,plain,
! [A_6014] :
( ( b1b2 = a2a3 )
| ( a3 = A_6014 )
| ~ incident(A_6014,b1b2)
| ~ incident(A_6014,a2a3) ),
inference(resolution,[status(thm)],[c_20,c_177068]) ).
tff(c_177094,plain,
b1b2 = a2a3,
inference(splitLeft,[status(thm)],[c_177091]) ).
tff(c_177096,plain,
~ incident(p1,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_177094,c_175912]) ).
tff(c_177105,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_60,c_177096]) ).
tff(c_177294,plain,
! [A_6022] :
( ( a3 = A_6022 )
| ~ incident(A_6022,b1b2)
| ~ incident(A_6022,a2a3) ),
inference(splitRight,[status(thm)],[c_177091]) ).
tff(c_177311,plain,
( ( b1 = a3 )
| ~ incident(b1,a2a3) ),
inference(resolution,[status(thm)],[c_26,c_177294]) ).
tff(c_177328,plain,
b1 = a3,
inference(demodulation,[status(thm),theory(equality)],[c_137731,c_177311]) ).
tff(c_177339,plain,
incident(a3,s1),
inference(demodulation,[status(thm),theory(equality)],[c_177328,c_50]) ).
tff(c_178634,plain,
! [C_6067,A_6068] :
( ( s3 = C_6067 )
| ( s = A_6068 )
| ~ incident(s,C_6067)
| ~ incident(A_6068,s3)
| ~ incident(A_6068,C_6067) ),
inference(resolution,[status(thm)],[c_42,c_176959]) ).
tff(c_178653,plain,
! [A_6068] :
( ( s3 = s1 )
| ( s = A_6068 )
| ~ incident(A_6068,s3)
| ~ incident(A_6068,s1) ),
inference(resolution,[status(thm)],[c_38,c_178634]) ).
tff(c_178768,plain,
s3 = s1,
inference(splitLeft,[status(thm)],[c_178653]) ).
tff(c_178801,plain,
incident(b3,s1),
inference(demodulation,[status(thm),theory(equality)],[c_178768,c_54]) ).
tff(c_178857,plain,
! [C_6076,A_6077] :
( ( s1 = C_6076 )
| ( a1 = A_6077 )
| ~ incident(a1,C_6076)
| ~ incident(A_6077,s1)
| ~ incident(A_6077,C_6076) ),
inference(resolution,[status(thm)],[c_44,c_176959]) ).
tff(c_178879,plain,
! [A_6077] :
( ( s1 = b2b3 )
| ( a1 = A_6077 )
| ~ incident(A_6077,s1)
| ~ incident(A_6077,b2b3) ),
inference(resolution,[status(thm)],[c_102984,c_178857]) ).
tff(c_178885,plain,
s1 = b2b3,
inference(splitLeft,[status(thm)],[c_178879]) ).
tff(c_177341,plain,
b2 != a3,
inference(demodulation,[status(thm),theory(equality)],[c_177328,c_119]) ).
tff(c_177241,plain,
! [C_6019,A_6020] :
( ( s2 = C_6019 )
| ( s = A_6020 )
| ~ incident(s,C_6019)
| ~ incident(A_6020,s2)
| ~ incident(A_6020,C_6019) ),
inference(resolution,[status(thm)],[c_40,c_176959]) ).
tff(c_177263,plain,
! [A_6020] :
( ( s3 = s2 )
| ( s = A_6020 )
| ~ incident(A_6020,s2)
| ~ incident(A_6020,s3) ),
inference(resolution,[status(thm)],[c_42,c_177241]) ).
tff(c_178281,plain,
s3 = s2,
inference(splitLeft,[status(thm)],[c_177263]) ).
tff(c_177092,plain,
! [A_6014] :
( ( s3 = b1b2 )
| ( a3 = A_6014 )
| ~ incident(A_6014,b1b2)
| ~ incident(A_6014,s3) ),
inference(resolution,[status(thm)],[c_48,c_177068]) ).
tff(c_178083,plain,
s3 = b1b2,
inference(splitLeft,[status(thm)],[c_177092]) ).
tff(c_178119,plain,
incident(b3,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_178083,c_54]) ).
tff(c_177450,plain,
! [C_6026,A_6027] :
( ( b1b2 = C_6026 )
| ( p3 = A_6027 )
| ~ incident(p3,C_6026)
| ~ incident(A_6027,b1b2)
| ~ incident(A_6027,C_6026) ),
inference(resolution,[status(thm)],[c_58,c_176959]) ).
tff(c_177460,plain,
! [A_6027] :
( ( b1b2 = a1a2 )
| ( p3 = A_6027 )
| ~ incident(A_6027,b1b2)
| ~ incident(A_6027,a1a2) ),
inference(resolution,[status(thm)],[c_56,c_177450]) ).
tff(c_177473,plain,
! [A_6028] :
( ( p3 = A_6028 )
| ~ incident(A_6028,b1b2)
| ~ incident(A_6028,a1a2) ),
inference(negUnitSimplification,[status(thm)],[c_116,c_177460]) ).
tff(c_177502,plain,
( ( p3 = b2 )
| ~ incident(b2,a1a2) ),
inference(resolution,[status(thm)],[c_28,c_177473]) ).
tff(c_177503,plain,
~ incident(b2,a1a2),
inference(splitLeft,[status(thm)],[c_177502]) ).
tff(c_177543,plain,
! [C_6030,A_6031] :
( ( a1a2 = C_6030 )
| ( a1 = A_6031 )
| ~ incident(a1,C_6030)
| ~ incident(A_6031,a1a2)
| ~ incident(A_6031,C_6030) ),
inference(resolution,[status(thm)],[c_14,c_176959]) ).
tff(c_177566,plain,
! [A_6031] :
( ( b2b3 = a1a2 )
| ( a1 = A_6031 )
| ~ incident(A_6031,a1a2)
| ~ incident(A_6031,b2b3) ),
inference(resolution,[status(thm)],[c_102984,c_177543]) ).
tff(c_177850,plain,
b2b3 = a1a2,
inference(splitLeft,[status(thm)],[c_177566]) ).
tff(c_177856,plain,
incident(b2,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_177850,c_30]) ).
tff(c_177863,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_177503,c_177856]) ).
tff(c_177904,plain,
! [A_6041] :
( ( a1 = A_6041 )
| ~ incident(A_6041,a1a2)
| ~ incident(A_6041,b2b3) ),
inference(splitRight,[status(thm)],[c_177566]) ).
tff(c_177921,plain,
( ( b3 = a1 )
| ~ incident(b3,a1a2) ),
inference(resolution,[status(thm)],[c_32,c_177904]) ).
tff(c_177940,plain,
b3 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_175911,c_177921]) ).
tff(c_177162,plain,
! [A_6018] :
( ( a3 = A_6018 )
| ~ incident(A_6018,b1b2)
| ~ incident(A_6018,a2a3) ),
inference(splitRight,[status(thm)],[c_177091]) ).
tff(c_177179,plain,
( ( b1 = a3 )
| ~ incident(b1,a2a3) ),
inference(resolution,[status(thm)],[c_26,c_177162]) ).
tff(c_177196,plain,
b1 = a3,
inference(demodulation,[status(thm),theory(equality)],[c_137731,c_177179]) ).
tff(c_177108,plain,
! [C_6015,A_6016] :
( ( a3a1 = C_6015 )
| ( p2 = A_6016 )
| ~ incident(p2,C_6015)
| ~ incident(A_6016,a3a1)
| ~ incident(A_6016,C_6015) ),
inference(resolution,[status(thm)],[c_64,c_176959]) ).
tff(c_177118,plain,
! [A_6016] :
( ( b3b1 = a3a1 )
| ( p2 = A_6016 )
| ~ incident(A_6016,a3a1)
| ~ incident(A_6016,b3b1) ),
inference(resolution,[status(thm)],[c_66,c_177108]) ).
tff(c_177130,plain,
! [A_6017] :
( ( p2 = A_6017 )
| ~ incident(A_6017,a3a1)
| ~ incident(A_6017,b3b1) ),
inference(negUnitSimplification,[status(thm)],[c_114,c_177118]) ).
tff(c_177158,plain,
( ( p2 = b1 )
| ~ incident(b1,a3a1) ),
inference(resolution,[status(thm)],[c_36,c_177130]) ).
tff(c_177160,plain,
~ incident(b1,a3a1),
inference(splitLeft,[status(thm)],[c_177158]) ).
tff(c_177198,plain,
~ incident(a3,a3a1),
inference(demodulation,[status(thm),theory(equality)],[c_177196,c_177160]) ).
tff(c_177208,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_22,c_177198]) ).
tff(c_177209,plain,
p2 = b1,
inference(splitRight,[status(thm)],[c_177158]) ).
tff(c_177159,plain,
( ( p2 = b3 )
| ~ incident(b3,a3a1) ),
inference(resolution,[status(thm)],[c_34,c_177130]) ).
tff(c_177265,plain,
( ( b3 = b1 )
| ~ incident(b3,a3a1) ),
inference(demodulation,[status(thm),theory(equality)],[c_177209,c_177159]) ).
tff(c_177266,plain,
~ incident(b3,a3a1),
inference(negUnitSimplification,[status(thm)],[c_117,c_177265]) ).
tff(c_177951,plain,
~ incident(a1,a3a1),
inference(demodulation,[status(thm),theory(equality)],[c_177940,c_177266]) ).
tff(c_177959,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_24,c_177951]) ).
tff(c_177960,plain,
p3 = b2,
inference(splitRight,[status(thm)],[c_177502]) ).
tff(c_177471,plain,
! [A_6027] :
( ( p3 = A_6027 )
| ~ incident(A_6027,b1b2)
| ~ incident(A_6027,a1a2) ),
inference(negUnitSimplification,[status(thm)],[c_116,c_177460]) ).
tff(c_177962,plain,
! [A_6027] :
( ( b2 = A_6027 )
| ~ incident(A_6027,b1b2)
| ~ incident(A_6027,a1a2) ),
inference(demodulation,[status(thm),theory(equality)],[c_177960,c_177471]) ).
tff(c_178130,plain,
( ( b3 = b2 )
| ~ incident(b3,a1a2) ),
inference(resolution,[status(thm)],[c_178119,c_177962]) ).
tff(c_178144,plain,
b3 = b2,
inference(demodulation,[status(thm),theory(equality)],[c_175911,c_178130]) ).
tff(c_178146,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_118,c_178144]) ).
tff(c_178147,plain,
! [A_6014] :
( ( a3 = A_6014 )
| ~ incident(A_6014,b1b2)
| ~ incident(A_6014,s3) ),
inference(splitRight,[status(thm)],[c_177092]) ).
tff(c_178392,plain,
! [A_6057] :
( ( a3 = A_6057 )
| ~ incident(A_6057,b1b2)
| ~ incident(A_6057,s2) ),
inference(demodulation,[status(thm),theory(equality)],[c_178281,c_178147]) ).
tff(c_178409,plain,
( ( b2 = a3 )
| ~ incident(b2,b1b2) ),
inference(resolution,[status(thm)],[c_52,c_178392]) ).
tff(c_178430,plain,
b2 = a3,
inference(demodulation,[status(thm),theory(equality)],[c_28,c_178409]) ).
tff(c_178432,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_177341,c_178430]) ).
tff(c_178433,plain,
! [A_6020] :
( ( s = A_6020 )
| ~ incident(A_6020,s2)
| ~ incident(A_6020,s3) ),
inference(splitRight,[status(thm)],[c_177263]) ).
tff(c_178827,plain,
! [A_6075] :
( ( s = A_6075 )
| ~ incident(A_6075,s2)
| ~ incident(A_6075,s1) ),
inference(demodulation,[status(thm),theory(equality)],[c_178768,c_178433]) ).
tff(c_178851,plain,
( ( s = b2 )
| ~ incident(b2,s1) ),
inference(resolution,[status(thm)],[c_52,c_178827]) ).
tff(c_178883,plain,
~ incident(b2,s1),
inference(splitLeft,[status(thm)],[c_178851]) ).
tff(c_178886,plain,
~ incident(b2,b2b3),
inference(demodulation,[status(thm),theory(equality)],[c_178885,c_178883]) ).
tff(c_178900,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_30,c_178886]) ).
tff(c_178903,plain,
! [A_6078] :
( ( a1 = A_6078 )
| ~ incident(A_6078,s1)
| ~ incident(A_6078,b2b3) ),
inference(splitRight,[status(thm)],[c_178879]) ).
tff(c_178906,plain,
( ( b3 = a1 )
| ~ incident(b3,b2b3) ),
inference(resolution,[status(thm)],[c_178801,c_178903]) ).
tff(c_178926,plain,
b3 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_32,c_178906]) ).
tff(c_178948,plain,
~ incident(a1,a3a1),
inference(demodulation,[status(thm),theory(equality)],[c_178926,c_177266]) ).
tff(c_178957,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_24,c_178948]) ).
tff(c_178958,plain,
s = b2,
inference(splitRight,[status(thm)],[c_178851]) ).
tff(c_178181,plain,
! [C_6049,A_6050] :
( ( b2b3 = C_6049 )
| ( b2 = A_6050 )
| ~ incident(b2,C_6049)
| ~ incident(A_6050,b2b3)
| ~ incident(A_6050,C_6049) ),
inference(resolution,[status(thm)],[c_30,c_176959]) ).
tff(c_178203,plain,
! [A_6050] :
( ( s2 = b2b3 )
| ( b2 = A_6050 )
| ~ incident(A_6050,b2b3)
| ~ incident(A_6050,s2) ),
inference(resolution,[status(thm)],[c_52,c_178181]) ).
tff(c_178554,plain,
s2 = b2b3,
inference(splitLeft,[status(thm)],[c_178203]) ).
tff(c_178496,plain,
! [A_6061] :
( ( s = A_6061 )
| ~ incident(A_6061,s2)
| ~ incident(A_6061,s3) ),
inference(splitRight,[status(thm)],[c_177263]) ).
tff(c_178520,plain,
( ( s = b3 )
| ~ incident(b3,s2) ),
inference(resolution,[status(thm)],[c_54,c_178496]) ).
tff(c_178526,plain,
~ incident(b3,s2),
inference(splitLeft,[status(thm)],[c_178520]) ).
tff(c_178590,plain,
~ incident(b3,b2b3),
inference(demodulation,[status(thm),theory(equality)],[c_178554,c_178526]) ).
tff(c_178600,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_32,c_178590]) ).
tff(c_178603,plain,
! [A_6066] :
( ( b2 = A_6066 )
| ~ incident(A_6066,b2b3)
| ~ incident(A_6066,s2) ),
inference(splitRight,[status(thm)],[c_178203]) ).
tff(c_178631,plain,
( ( s = b2 )
| ~ incident(s,b2b3) ),
inference(resolution,[status(thm)],[c_40,c_178603]) ).
tff(c_178633,plain,
~ incident(s,b2b3),
inference(splitLeft,[status(thm)],[c_178631]) ).
tff(c_178988,plain,
~ incident(b2,b2b3),
inference(demodulation,[status(thm),theory(equality)],[c_178958,c_178633]) ).
tff(c_178996,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_30,c_178988]) ).
tff(c_178999,plain,
! [A_6081] :
( ( s = A_6081 )
| ~ incident(A_6081,s3)
| ~ incident(A_6081,s1) ),
inference(splitRight,[status(thm)],[c_178653]) ).
tff(c_179013,plain,
( ( s = a3 )
| ~ incident(a3,s1) ),
inference(resolution,[status(thm)],[c_48,c_178999]) ).
tff(c_179026,plain,
s = a3,
inference(demodulation,[status(thm),theory(equality)],[c_177339,c_179013]) ).
tff(c_178149,plain,
! [A_6048] :
( ( a3 = A_6048 )
| ~ incident(A_6048,b1b2)
| ~ incident(A_6048,s3) ),
inference(splitRight,[status(thm)],[c_177092]) ).
tff(c_178180,plain,
( ( s = a3 )
| ~ incident(s,b1b2) ),
inference(resolution,[status(thm)],[c_42,c_178149]) ).
tff(c_178207,plain,
~ incident(s,b1b2),
inference(splitLeft,[status(thm)],[c_178180]) ).
tff(c_179069,plain,
~ incident(a3,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_179026,c_178207]) ).
tff(c_179077,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_164573,c_179069]) ).
tff(c_179078,plain,
s = b2,
inference(splitRight,[status(thm)],[c_178631]) ).
tff(c_179081,plain,
~ incident(b2,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_179078,c_178207]) ).
tff(c_179089,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_28,c_179081]) ).
tff(c_179091,plain,
incident(b3,s2),
inference(splitRight,[status(thm)],[c_178520]) ).
tff(c_179361,plain,
s2 = b2b3,
inference(splitLeft,[status(thm)],[c_178203]) ).
tff(c_179368,plain,
incident(a2,b2b3),
inference(demodulation,[status(thm),theory(equality)],[c_179361,c_46]) ).
tff(c_179090,plain,
s = b3,
inference(splitRight,[status(thm)],[c_178520]) ).
tff(c_179096,plain,
incident(b3,s1),
inference(demodulation,[status(thm),theory(equality)],[c_179090,c_38]) ).
tff(c_176827,plain,
~ incident(p2,a1a2),
inference(splitRight,[status(thm)],[c_137736]) ).
tff(c_177217,plain,
~ incident(b1,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_177209,c_176827]) ).
tff(c_177333,plain,
~ incident(a3,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_177328,c_177217]) ).
tff(c_179674,plain,
! [C_6104,A_6105] :
( ( a1a2 = C_6104 )
| ( a1 = A_6105 )
| ~ incident(a1,C_6104)
| ~ incident(A_6105,a1a2)
| ~ incident(A_6105,C_6104) ),
inference(resolution,[status(thm)],[c_14,c_176959]) ).
tff(c_179697,plain,
! [A_6105] :
( ( b2b3 = a1a2 )
| ( a1 = A_6105 )
| ~ incident(A_6105,a1a2)
| ~ incident(A_6105,b2b3) ),
inference(resolution,[status(thm)],[c_102984,c_179674]) ).
tff(c_179716,plain,
b2b3 = a1a2,
inference(splitLeft,[status(thm)],[c_179697]) ).
tff(c_179335,plain,
! [C_6093,A_6094] :
( ( b2b3 = C_6093 )
| ( a1 = A_6094 )
| ~ incident(a1,C_6093)
| ~ incident(A_6094,b2b3)
| ~ incident(A_6094,C_6093) ),
inference(resolution,[status(thm)],[c_102984,c_176959]) ).
tff(c_179359,plain,
! [A_6094] :
( ( s1 = b2b3 )
| ( a1 = A_6094 )
| ~ incident(A_6094,b2b3)
| ~ incident(A_6094,s1) ),
inference(resolution,[status(thm)],[c_44,c_179335]) ).
tff(c_179897,plain,
! [A_6094] :
( ( s1 = a1a2 )
| ( a1 = A_6094 )
| ~ incident(A_6094,a1a2)
| ~ incident(A_6094,s1) ),
inference(demodulation,[status(thm),theory(equality)],[c_179716,c_179716,c_179359]) ).
tff(c_179898,plain,
s1 = a1a2,
inference(splitLeft,[status(thm)],[c_179897]) ).
tff(c_179901,plain,
incident(a3,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_179898,c_177339]) ).
tff(c_179906,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_177333,c_179901]) ).
tff(c_179933,plain,
! [A_6114] :
( ( a1 = A_6114 )
| ~ incident(A_6114,a1a2)
| ~ incident(A_6114,s1) ),
inference(splitRight,[status(thm)],[c_179897]) ).
tff(c_179936,plain,
( ( b3 = a1 )
| ~ incident(b3,a1a2) ),
inference(resolution,[status(thm)],[c_179096,c_179933]) ).
tff(c_179953,plain,
b3 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_175911,c_179936]) ).
tff(c_179974,plain,
~ incident(a1,a3a1),
inference(demodulation,[status(thm),theory(equality)],[c_179953,c_177266]) ).
tff(c_179983,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_24,c_179974]) ).
tff(c_180013,plain,
! [A_6116] :
( ( a1 = A_6116 )
| ~ incident(A_6116,a1a2)
| ~ incident(A_6116,b2b3) ),
inference(splitRight,[status(thm)],[c_179697]) ).
tff(c_180016,plain,
( ( a2 = a1 )
| ~ incident(a2,a1a2) ),
inference(resolution,[status(thm)],[c_179368,c_180013]) ).
tff(c_180036,plain,
a2 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_180016]) ).
tff(c_180038,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_122,c_180036]) ).
tff(c_180041,plain,
! [A_6117] :
( ( b2 = A_6117 )
| ~ incident(A_6117,b2b3)
| ~ incident(A_6117,s2) ),
inference(splitRight,[status(thm)],[c_178203]) ).
tff(c_180044,plain,
( ( b3 = b2 )
| ~ incident(b3,b2b3) ),
inference(resolution,[status(thm)],[c_179091,c_180041]) ).
tff(c_180061,plain,
b3 = b2,
inference(demodulation,[status(thm),theory(equality)],[c_32,c_180044]) ).
tff(c_180063,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_118,c_180061]) ).
tff(c_180064,plain,
s = a3,
inference(splitRight,[status(thm)],[c_178180]) ).
tff(c_180069,plain,
incident(a3,s2),
inference(demodulation,[status(thm),theory(equality)],[c_180064,c_40]) ).
tff(c_180178,plain,
! [C_6121,A_6122] :
( ( a1a2 = C_6121 )
| ( a1 = A_6122 )
| ~ incident(a1,C_6121)
| ~ incident(A_6122,a1a2)
| ~ incident(A_6122,C_6121) ),
inference(resolution,[status(thm)],[c_14,c_176959]) ).
tff(c_180201,plain,
! [A_6122] :
( ( b2b3 = a1a2 )
| ( a1 = A_6122 )
| ~ incident(A_6122,a1a2)
| ~ incident(A_6122,b2b3) ),
inference(resolution,[status(thm)],[c_102984,c_180178]) ).
tff(c_180240,plain,
b2b3 = a1a2,
inference(splitLeft,[status(thm)],[c_180201]) ).
tff(c_180100,plain,
! [A_6119] :
( ( p1 = A_6119 )
| ~ incident(A_6119,b2b3)
| ~ incident(A_6119,a2a3) ),
inference(negUnitSimplification,[status(thm)],[c_115,c_180088]) ).
tff(c_180262,plain,
! [A_6124] :
( ( p1 = A_6124 )
| ~ incident(A_6124,a1a2)
| ~ incident(A_6124,a2a3) ),
inference(demodulation,[status(thm),theory(equality)],[c_180240,c_180100]) ).
tff(c_180273,plain,
( ( p1 = a2 )
| ~ incident(a2,a1a2) ),
inference(resolution,[status(thm)],[c_18,c_180262]) ).
tff(c_180288,plain,
p1 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_180273]) ).
tff(c_177220,plain,
! [A_1] :
( ~ incident(b1,A_1)
| ~ incident(p1,A_1)
| ~ incident(p3,A_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_177209,c_125]) ).
tff(c_177332,plain,
! [A_1] :
( ~ incident(a3,A_1)
| ~ incident(p1,A_1)
| ~ incident(p3,A_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_177328,c_177220]) ).
tff(c_178049,plain,
! [A_1] :
( ~ incident(a3,A_1)
| ~ incident(p1,A_1)
| ~ incident(b2,A_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_177960,c_177332]) ).
tff(c_180409,plain,
! [A_6130] :
( ~ incident(a3,A_6130)
| ~ incident(a2,A_6130)
| ~ incident(b2,A_6130) ),
inference(demodulation,[status(thm),theory(equality)],[c_180288,c_178049]) ).
tff(c_180423,plain,
( ~ incident(a3,s2)
| ~ incident(a2,s2) ),
inference(resolution,[status(thm)],[c_52,c_180409]) ).
tff(c_180439,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_46,c_180069,c_180423]) ).
tff(c_180442,plain,
! [A_6131] :
( ( a1 = A_6131 )
| ~ incident(A_6131,a1a2)
| ~ incident(A_6131,b2b3) ),
inference(splitRight,[status(thm)],[c_180201]) ).
tff(c_180456,plain,
( ( p1 = a1 )
| ~ incident(p1,a1a2) ),
inference(resolution,[status(thm)],[c_62,c_180442]) ).
tff(c_180475,plain,
p1 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_176828,c_180456]) ).
tff(c_180526,plain,
incident(a1,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_180475,c_60]) ).
tff(c_180531,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_180160,c_180526]) ).
tff(c_180533,plain,
incident(a1,a2a3),
inference(splitRight,[status(thm)],[c_180153]) ).
tff(c_180672,plain,
! [C_6138,A_6139] :
( ( b2b3 = C_6138 )
| ( a1 = A_6139 )
| ~ incident(a1,C_6138)
| ~ incident(A_6139,b2b3)
| ~ incident(A_6139,C_6138) ),
inference(resolution,[status(thm)],[c_102984,c_176959]) ).
tff(c_180697,plain,
! [A_6139] :
( ( b2b3 = a1a2 )
| ( a1 = A_6139 )
| ~ incident(A_6139,b2b3)
| ~ incident(A_6139,a1a2) ),
inference(resolution,[status(thm)],[c_14,c_180672]) ).
tff(c_180830,plain,
b2b3 = a1a2,
inference(splitLeft,[status(thm)],[c_180697]) ).
tff(c_180532,plain,
p1 = a1,
inference(splitRight,[status(thm)],[c_180153]) ).
tff(c_180534,plain,
! [A_6119] :
( ( a1 = A_6119 )
| ~ incident(A_6119,b2b3)
| ~ incident(A_6119,a2a3) ),
inference(demodulation,[status(thm),theory(equality)],[c_180532,c_180100]) ).
tff(c_180900,plain,
! [A_6147] :
( ( a1 = A_6147 )
| ~ incident(A_6147,a1a2)
| ~ incident(A_6147,a2a3) ),
inference(demodulation,[status(thm),theory(equality)],[c_180830,c_180534]) ).
tff(c_180914,plain,
( ( a2 = a1 )
| ~ incident(a2,a1a2) ),
inference(resolution,[status(thm)],[c_18,c_180900]) ).
tff(c_180930,plain,
a2 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_180914]) ).
tff(c_180932,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_122,c_180930]) ).
tff(c_180935,plain,
! [A_6148] :
( ( a1 = A_6148 )
| ~ incident(A_6148,b2b3)
| ~ incident(A_6148,a1a2) ),
inference(splitRight,[status(thm)],[c_180697]) ).
tff(c_180949,plain,
( ( b3 = a1 )
| ~ incident(b3,a1a2) ),
inference(resolution,[status(thm)],[c_32,c_180935]) ).
tff(c_180965,plain,
b3 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_175911,c_180949]) ).
tff(c_180158,plain,
( ( p1 = b3 )
| ~ incident(b3,a2a3) ),
inference(resolution,[status(thm)],[c_32,c_180126]) ).
tff(c_180564,plain,
( ( b3 = a1 )
| ~ incident(b3,a2a3) ),
inference(demodulation,[status(thm),theory(equality)],[c_180532,c_180158]) ).
tff(c_180565,plain,
~ incident(b3,a2a3),
inference(splitLeft,[status(thm)],[c_180564]) ).
tff(c_180970,plain,
~ incident(a1,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_180965,c_180565]) ).
tff(c_180982,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_180533,c_180970]) ).
tff(c_180983,plain,
b3 = a1,
inference(splitRight,[status(thm)],[c_180564]) ).
tff(c_180987,plain,
~ incident(a1,a3a1),
inference(demodulation,[status(thm),theory(equality)],[c_180983,c_177266]) ).
tff(c_180996,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_24,c_180987]) ).
tff(c_180997,plain,
~ incident(p2,b1b2),
inference(splitRight,[status(thm)],[c_137740]) ).
tff(c_187359,plain,
~ incident(a3,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_187345,c_180997]) ).
tff(c_187366,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_164573,c_187359]) ).
tff(c_187369,plain,
! [A_6388] :
( ( b3 = A_6388 )
| ~ incident(A_6388,a1a2)
| ~ incident(A_6388,s3) ),
inference(splitRight,[status(thm)],[c_186956]) ).
tff(c_187397,plain,
( ( b3 = a3 )
| ~ incident(a3,a1a2) ),
inference(resolution,[status(thm)],[c_48,c_187369]) ).
tff(c_187399,plain,
~ incident(a3,a1a2),
inference(splitLeft,[status(thm)],[c_187397]) ).
tff(c_137851,plain,
point(a2),
inference(resolution,[status(thm)],[c_46,c_137741]) ).
tff(c_187400,plain,
! [C_6389,A_6390] :
( ( b1b2 = C_6389 )
| ( b1 = A_6390 )
| ~ incident(b1,C_6389)
| ~ incident(A_6390,b1b2)
| ~ incident(A_6390,C_6389) ),
inference(resolution,[status(thm)],[c_26,c_186821]) ).
tff(c_187423,plain,
! [A_6390] :
( ( b1b2 = a2a3 )
| ( b1 = A_6390 )
| ~ incident(A_6390,b1b2)
| ~ incident(A_6390,a2a3) ),
inference(resolution,[status(thm)],[c_137731,c_187400]) ).
tff(c_187789,plain,
b1b2 = a2a3,
inference(splitLeft,[status(thm)],[c_187423]) ).
tff(c_187799,plain,
a2a3 != a1a2,
inference(demodulation,[status(thm),theory(equality)],[c_187789,c_116]) ).
tff(c_186905,plain,
! [C_6370,A_6372] :
( ( b1b2 = C_6370 )
| ( p3 = A_6372 )
| ~ incident(p3,C_6370)
| ~ incident(A_6372,b1b2)
| ~ incident(A_6372,C_6370) ),
inference(resolution,[status(thm)],[c_58,c_186821]) ).
tff(c_187932,plain,
! [C_6406,A_6407] :
( ( a2a3 = C_6406 )
| ( p3 = A_6407 )
| ~ incident(p3,C_6406)
| ~ incident(A_6407,a2a3)
| ~ incident(A_6407,C_6406) ),
inference(demodulation,[status(thm),theory(equality)],[c_187789,c_187789,c_186905]) ).
tff(c_187942,plain,
! [A_6407] :
( ( a2a3 = a1a2 )
| ( p3 = A_6407 )
| ~ incident(A_6407,a2a3)
| ~ incident(A_6407,a1a2) ),
inference(resolution,[status(thm)],[c_56,c_187932]) ).
tff(c_187989,plain,
! [A_6409] :
( ( p3 = A_6409 )
| ~ incident(A_6409,a2a3)
| ~ incident(A_6409,a1a2) ),
inference(negUnitSimplification,[status(thm)],[c_187799,c_187942]) ).
tff(c_188012,plain,
( ( p3 = a2 )
| ~ incident(a2,a1a2) ),
inference(resolution,[status(thm)],[c_18,c_187989]) ).
tff(c_188034,plain,
p3 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_188012]) ).
tff(c_181013,plain,
~ incident(p1,a1a2),
inference(splitLeft,[status(thm)],[c_137736]) ).
tff(c_181142,plain,
! [D_6163,C_6164,B_6165,A_6166] :
( ( D_6163 = C_6164 )
| ( B_6165 = A_6166 )
| ~ incident(B_6165,D_6163)
| ~ incident(B_6165,C_6164)
| ~ incident(A_6166,D_6163)
| ~ incident(A_6166,C_6164) ),
inference(cnfTransformation,[status(thm)],[f_153]) ).
tff(c_181251,plain,
! [C_6167,A_6168] :
( ( a1a2 = C_6167 )
| ( b3 = A_6168 )
| ~ incident(b3,C_6167)
| ~ incident(A_6168,a1a2)
| ~ incident(A_6168,C_6167) ),
inference(resolution,[status(thm)],[c_175911,c_181142]) ).
tff(c_181275,plain,
! [A_6168] :
( ( b2b3 = a1a2 )
| ( b3 = A_6168 )
| ~ incident(A_6168,a1a2)
| ~ incident(A_6168,b2b3) ),
inference(resolution,[status(thm)],[c_32,c_181251]) ).
tff(c_185893,plain,
b2b3 = a1a2,
inference(splitLeft,[status(thm)],[c_181275]) ).
tff(c_185920,plain,
incident(p1,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_185893,c_62]) ).
tff(c_185927,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_181013,c_185920]) ).
tff(c_185930,plain,
! [A_6329] :
( ( b3 = A_6329 )
| ~ incident(A_6329,a1a2)
| ~ incident(A_6329,b2b3) ),
inference(splitRight,[status(thm)],[c_181275]) ).
tff(c_185941,plain,
( ( b3 = a1 )
| ~ incident(a1,a1a2) ),
inference(resolution,[status(thm)],[c_102984,c_185930]) ).
tff(c_185959,plain,
b3 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_185941]) ).
tff(c_185987,plain,
b2 != a1,
inference(demodulation,[status(thm),theory(equality)],[c_185959,c_118]) ).
tff(c_185777,plain,
! [C_6321,A_6322] :
( ( s2 = C_6321 )
| ( a2 = A_6322 )
| ~ incident(a2,C_6321)
| ~ incident(A_6322,s2)
| ~ incident(A_6322,C_6321) ),
inference(resolution,[status(thm)],[c_46,c_181142]) ).
tff(c_185796,plain,
! [A_6322] :
( ( s2 = a2a3 )
| ( a2 = A_6322 )
| ~ incident(A_6322,s2)
| ~ incident(A_6322,a2a3) ),
inference(resolution,[status(thm)],[c_18,c_185777]) ).
tff(c_186274,plain,
s2 = a2a3,
inference(splitLeft,[status(thm)],[c_185796]) ).
tff(c_183855,plain,
! [C_6260,A_6261] :
( ( b2b3 = C_6260 )
| ( a1 = A_6261 )
| ~ incident(a1,C_6260)
| ~ incident(A_6261,b2b3)
| ~ incident(A_6261,C_6260) ),
inference(resolution,[status(thm)],[c_102984,c_181142]) ).
tff(c_183876,plain,
! [A_6261] :
( ( b2b3 = a1a2 )
| ( a1 = A_6261 )
| ~ incident(A_6261,b2b3)
| ~ incident(A_6261,a1a2) ),
inference(resolution,[status(thm)],[c_14,c_183855]) ).
tff(c_183995,plain,
b2b3 = a1a2,
inference(splitLeft,[status(thm)],[c_183876]) ).
tff(c_183999,plain,
incident(p1,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_183995,c_62]) ).
tff(c_184006,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_181013,c_183999]) ).
tff(c_184009,plain,
! [A_6266] :
( ( a1 = A_6266 )
| ~ incident(A_6266,b2b3)
| ~ incident(A_6266,a1a2) ),
inference(splitRight,[status(thm)],[c_183876]) ).
tff(c_184026,plain,
( ( b3 = a1 )
| ~ incident(b3,a1a2) ),
inference(resolution,[status(thm)],[c_32,c_184009]) ).
tff(c_184043,plain,
b3 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_175911,c_184026]) ).
tff(c_184056,plain,
incident(a1,s3),
inference(demodulation,[status(thm),theory(equality)],[c_184043,c_54]) ).
tff(c_183296,plain,
! [C_6239,A_6240] :
( ( a3a1 = C_6239 )
| ( p2 = A_6240 )
| ~ incident(p2,C_6239)
| ~ incident(A_6240,a3a1)
| ~ incident(A_6240,C_6239) ),
inference(resolution,[status(thm)],[c_64,c_181142]) ).
tff(c_183306,plain,
! [A_6240] :
( ( b3b1 = a3a1 )
| ( p2 = A_6240 )
| ~ incident(A_6240,a3a1)
| ~ incident(A_6240,b3b1) ),
inference(resolution,[status(thm)],[c_66,c_183296]) ).
tff(c_183319,plain,
! [A_6241] :
( ( p2 = A_6241 )
| ~ incident(A_6241,a3a1)
| ~ incident(A_6241,b3b1) ),
inference(negUnitSimplification,[status(thm)],[c_114,c_183306]) ).
tff(c_183347,plain,
( ( p2 = b1 )
| ~ incident(b1,a3a1) ),
inference(resolution,[status(thm)],[c_36,c_183319]) ).
tff(c_183349,plain,
~ incident(b1,a3a1),
inference(splitLeft,[status(thm)],[c_183347]) ).
tff(c_184850,plain,
! [C_6292,A_6293] :
( ( s1 = C_6292 )
| ( a1 = A_6293 )
| ~ incident(a1,C_6292)
| ~ incident(A_6293,s1)
| ~ incident(A_6293,C_6292) ),
inference(resolution,[status(thm)],[c_44,c_181142]) ).
tff(c_184882,plain,
! [A_6293] :
( ( s1 = a3a1 )
| ( a1 = A_6293 )
| ~ incident(A_6293,s1)
| ~ incident(A_6293,a3a1) ),
inference(resolution,[status(thm)],[c_24,c_184850]) ).
tff(c_184927,plain,
s1 = a3a1,
inference(splitLeft,[status(thm)],[c_184882]) ).
tff(c_184936,plain,
incident(b1,a3a1),
inference(demodulation,[status(thm),theory(equality)],[c_184927,c_50]) ).
tff(c_184940,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_183349,c_184936]) ).
tff(c_184977,plain,
! [A_6297] :
( ( a1 = A_6297 )
| ~ incident(A_6297,s1)
| ~ incident(A_6297,a3a1) ),
inference(splitRight,[status(thm)],[c_184882]) ).
tff(c_185001,plain,
( ( s = a1 )
| ~ incident(s,a3a1) ),
inference(resolution,[status(thm)],[c_38,c_184977]) ).
tff(c_185008,plain,
~ incident(s,a3a1),
inference(splitLeft,[status(thm)],[c_185001]) ).
tff(c_184550,plain,
! [C_6282,A_6283] :
( ( s3 = C_6282 )
| ( a3 = A_6283 )
| ~ incident(a3,C_6282)
| ~ incident(A_6283,s3)
| ~ incident(A_6283,C_6282) ),
inference(resolution,[status(thm)],[c_48,c_181142]) ).
tff(c_184572,plain,
! [A_6283] :
( ( s3 = a3a1 )
| ( a3 = A_6283 )
| ~ incident(A_6283,s3)
| ~ incident(A_6283,a3a1) ),
inference(resolution,[status(thm)],[c_22,c_184550]) ).
tff(c_185211,plain,
s3 = a3a1,
inference(splitLeft,[status(thm)],[c_184572]) ).
tff(c_185220,plain,
incident(s,a3a1),
inference(demodulation,[status(thm),theory(equality)],[c_185211,c_42]) ).
tff(c_185225,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_185008,c_185220]) ).
tff(c_185261,plain,
! [A_6306] :
( ( a3 = A_6306 )
| ~ incident(A_6306,s3)
| ~ incident(A_6306,a3a1) ),
inference(splitRight,[status(thm)],[c_184572]) ).
tff(c_185264,plain,
( ( a3 = a1 )
| ~ incident(a1,a3a1) ),
inference(resolution,[status(thm)],[c_184056,c_185261]) ).
tff(c_185281,plain,
a3 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_24,c_185264]) ).
tff(c_185283,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_120,c_185281]) ).
tff(c_185284,plain,
s = a1,
inference(splitRight,[status(thm)],[c_185001]) ).
tff(c_183879,plain,
! [A_6261] :
( ( s1 = b2b3 )
| ( a1 = A_6261 )
| ~ incident(A_6261,b2b3)
| ~ incident(A_6261,s1) ),
inference(resolution,[status(thm)],[c_44,c_183855]) ).
tff(c_184419,plain,
s1 = b2b3,
inference(splitLeft,[status(thm)],[c_183879]) ).
tff(c_184456,plain,
incident(b1,b2b3),
inference(demodulation,[status(thm),theory(equality)],[c_184419,c_50]) ).
tff(c_184156,plain,
! [C_6270,A_6271] :
( ( b1b2 = C_6270 )
| ( b1 = A_6271 )
| ~ incident(b1,C_6270)
| ~ incident(A_6271,b1b2)
| ~ incident(A_6271,C_6270) ),
inference(resolution,[status(thm)],[c_26,c_181142]) ).
tff(c_184179,plain,
! [A_6271] :
( ( b1b2 = a2a3 )
| ( b1 = A_6271 )
| ~ incident(A_6271,b1b2)
| ~ incident(A_6271,a2a3) ),
inference(resolution,[status(thm)],[c_137731,c_184156]) ).
tff(c_184240,plain,
b1b2 = a2a3,
inference(splitLeft,[status(thm)],[c_184179]) ).
tff(c_184248,plain,
incident(b2,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_184240,c_28]) ).
tff(c_181248,plain,
! [C_6164,A_6166] :
( ( b2b3 = C_6164 )
| ( b2 = A_6166 )
| ~ incident(b2,C_6164)
| ~ incident(A_6166,b2b3)
| ~ incident(A_6166,C_6164) ),
inference(resolution,[status(thm)],[c_30,c_181142]) ).
tff(c_184278,plain,
! [A_6166] :
( ( b2b3 = a2a3 )
| ( b2 = A_6166 )
| ~ incident(A_6166,b2b3)
| ~ incident(A_6166,a2a3) ),
inference(resolution,[status(thm)],[c_184248,c_181248]) ).
tff(c_184289,plain,
! [A_6166] :
( ( b2 = A_6166 )
| ~ incident(A_6166,b2b3)
| ~ incident(A_6166,a2a3) ),
inference(negUnitSimplification,[status(thm)],[c_115,c_184278]) ).
tff(c_184486,plain,
( ( b2 = b1 )
| ~ incident(b1,a2a3) ),
inference(resolution,[status(thm)],[c_184456,c_184289]) ).
tff(c_184502,plain,
b2 = b1,
inference(demodulation,[status(thm),theory(equality)],[c_137731,c_184486]) ).
tff(c_184504,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_119,c_184502]) ).
tff(c_184518,plain,
! [A_6281] :
( ( a1 = A_6281 )
| ~ incident(A_6281,b2b3)
| ~ incident(A_6281,s1) ),
inference(splitRight,[status(thm)],[c_183879]) ).
tff(c_184542,plain,
( ( s = a1 )
| ~ incident(s,b2b3) ),
inference(resolution,[status(thm)],[c_38,c_184518]) ).
tff(c_184573,plain,
~ incident(s,b2b3),
inference(splitLeft,[status(thm)],[c_184542]) ).
tff(c_185287,plain,
~ incident(a1,b2b3),
inference(demodulation,[status(thm),theory(equality)],[c_185284,c_184573]) ).
tff(c_185295,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_102984,c_185287]) ).
tff(c_185296,plain,
s = a1,
inference(splitRight,[status(thm)],[c_184542]) ).
tff(c_181274,plain,
! [A_6168] :
( ( s3 = a1a2 )
| ( b3 = A_6168 )
| ~ incident(A_6168,a1a2)
| ~ incident(A_6168,s3) ),
inference(resolution,[status(thm)],[c_54,c_181251]) ).
tff(c_181277,plain,
s3 = a1a2,
inference(splitLeft,[status(thm)],[c_181274]) ).
tff(c_181302,plain,
incident(a3,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_181277,c_48]) ).
tff(c_181845,plain,
! [C_6189,A_6190] :
( ( b2b3 = C_6189 )
| ( p1 = A_6190 )
| ~ incident(p1,C_6189)
| ~ incident(A_6190,b2b3)
| ~ incident(A_6190,C_6189) ),
inference(resolution,[status(thm)],[c_62,c_181142]) ).
tff(c_181855,plain,
! [A_6190] :
( ( b2b3 = a2a3 )
| ( p1 = A_6190 )
| ~ incident(A_6190,b2b3)
| ~ incident(A_6190,a2a3) ),
inference(resolution,[status(thm)],[c_60,c_181845]) ).
tff(c_181870,plain,
! [A_6191] :
( ( p1 = A_6191 )
| ~ incident(A_6191,b2b3)
| ~ incident(A_6191,a2a3) ),
inference(negUnitSimplification,[status(thm)],[c_115,c_181855]) ).
tff(c_181899,plain,
( ( p1 = b2 )
| ~ incident(b2,a2a3) ),
inference(resolution,[status(thm)],[c_30,c_181870]) ).
tff(c_181901,plain,
~ incident(b2,a2a3),
inference(splitLeft,[status(thm)],[c_181899]) ).
tff(c_180998,plain,
incident(p1,b1b2),
inference(splitRight,[status(thm)],[c_137740]) ).
tff(c_181642,plain,
b2b3 = a1a2,
inference(splitLeft,[status(thm)],[c_181275]) ).
tff(c_181673,plain,
incident(p1,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_181642,c_62]) ).
tff(c_181680,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_181013,c_181673]) ).
tff(c_181683,plain,
! [A_6184] :
( ( b3 = A_6184 )
| ~ incident(A_6184,a1a2)
| ~ incident(A_6184,b2b3) ),
inference(splitRight,[status(thm)],[c_181275]) ).
tff(c_181694,plain,
( ( b3 = a1 )
| ~ incident(a1,a1a2) ),
inference(resolution,[status(thm)],[c_102984,c_181683]) ).
tff(c_181712,plain,
b3 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_181694]) ).
tff(c_181439,plain,
b2b3 = a1a2,
inference(splitLeft,[status(thm)],[c_181275]) ).
tff(c_181442,plain,
incident(p1,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_181439,c_62]) ).
tff(c_181449,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_181013,c_181442]) ).
tff(c_181478,plain,
! [A_6177] :
( ( b3 = A_6177 )
| ~ incident(A_6177,a1a2)
| ~ incident(A_6177,b2b3) ),
inference(splitRight,[status(thm)],[c_181275]) ).
tff(c_181489,plain,
( ( b3 = a1 )
| ~ incident(a1,a1a2) ),
inference(resolution,[status(thm)],[c_102984,c_181478]) ).
tff(c_181507,plain,
b3 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_181489]) ).
tff(c_181278,plain,
! [C_6169,A_6170] :
( ( a3a1 = C_6169 )
| ( p2 = A_6170 )
| ~ incident(p2,C_6169)
| ~ incident(A_6170,a3a1)
| ~ incident(A_6170,C_6169) ),
inference(resolution,[status(thm)],[c_64,c_181142]) ).
tff(c_181288,plain,
! [A_6170] :
( ( b3b1 = a3a1 )
| ( p2 = A_6170 )
| ~ incident(A_6170,a3a1)
| ~ incident(A_6170,b3b1) ),
inference(resolution,[status(thm)],[c_66,c_181278]) ).
tff(c_181336,plain,
! [A_6171] :
( ( p2 = A_6171 )
| ~ incident(A_6171,a3a1)
| ~ incident(A_6171,b3b1) ),
inference(negUnitSimplification,[status(thm)],[c_114,c_181288]) ).
tff(c_181365,plain,
( ( p2 = b3 )
| ~ incident(b3,a3a1) ),
inference(resolution,[status(thm)],[c_34,c_181336]) ).
tff(c_181367,plain,
~ incident(b3,a3a1),
inference(splitLeft,[status(thm)],[c_181365]) ).
tff(c_181518,plain,
~ incident(a1,a3a1),
inference(demodulation,[status(thm),theory(equality)],[c_181507,c_181367]) ).
tff(c_181528,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_24,c_181518]) ).
tff(c_181529,plain,
p2 = b3,
inference(splitRight,[status(thm)],[c_181365]) ).
tff(c_181537,plain,
~ incident(b3,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_181529,c_180997]) ).
tff(c_181725,plain,
~ incident(a1,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_181712,c_181537]) ).
tff(c_181592,plain,
! [C_6179,A_6180] :
( ( b2b3 = C_6179 )
| ( b2 = A_6180 )
| ~ incident(b2,C_6179)
| ~ incident(A_6180,b2b3)
| ~ incident(A_6180,C_6179) ),
inference(resolution,[status(thm)],[c_30,c_181142]) ).
tff(c_181612,plain,
! [A_6180] :
( ( b2b3 = b1b2 )
| ( b2 = A_6180 )
| ~ incident(A_6180,b2b3)
| ~ incident(A_6180,b1b2) ),
inference(resolution,[status(thm)],[c_28,c_181592]) ).
tff(c_182069,plain,
b2b3 = b1b2,
inference(splitLeft,[status(thm)],[c_181612]) ).
tff(c_182077,plain,
incident(a1,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_182069,c_102984]) ).
tff(c_182083,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_181725,c_182077]) ).
tff(c_182111,plain,
! [A_6201] :
( ( b2 = A_6201 )
| ~ incident(A_6201,b2b3)
| ~ incident(A_6201,b1b2) ),
inference(splitRight,[status(thm)],[c_181612]) ).
tff(c_182125,plain,
( ( p1 = b2 )
| ~ incident(p1,b1b2) ),
inference(resolution,[status(thm)],[c_62,c_182111]) ).
tff(c_182139,plain,
p1 = b2,
inference(demodulation,[status(thm),theory(equality)],[c_180998,c_182125]) ).
tff(c_182152,plain,
incident(b2,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_182139,c_60]) ).
tff(c_182157,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_181901,c_182152]) ).
tff(c_182159,plain,
incident(b2,a2a3),
inference(splitRight,[status(thm)],[c_181899]) ).
tff(c_182785,plain,
! [C_6223,A_6224] :
( ( a2a3 = C_6223 )
| ( b1 = A_6224 )
| ~ incident(b1,C_6223)
| ~ incident(A_6224,a2a3)
| ~ incident(A_6224,C_6223) ),
inference(resolution,[status(thm)],[c_137731,c_181142]) ).
tff(c_182806,plain,
! [A_6224] :
( ( b1b2 = a2a3 )
| ( b1 = A_6224 )
| ~ incident(A_6224,a2a3)
| ~ incident(A_6224,b1b2) ),
inference(resolution,[status(thm)],[c_26,c_182785]) ).
tff(c_182954,plain,
b1b2 = a2a3,
inference(splitLeft,[status(thm)],[c_182806]) ).
tff(c_182489,plain,
! [C_6211,A_6212] :
( ( s2 = C_6211 )
| ( b2 = A_6212 )
| ~ incident(b2,C_6211)
| ~ incident(A_6212,s2)
| ~ incident(A_6212,C_6211) ),
inference(resolution,[status(thm)],[c_52,c_181142]) ).
tff(c_182513,plain,
! [A_6212] :
( ( s2 = b1b2 )
| ( b2 = A_6212 )
| ~ incident(A_6212,s2)
| ~ incident(A_6212,b1b2) ),
inference(resolution,[status(thm)],[c_28,c_182489]) ).
tff(c_182697,plain,
s2 = b1b2,
inference(splitLeft,[status(thm)],[c_182513]) ).
tff(c_182354,plain,
! [C_6206,A_6207] :
( ( a1a2 = C_6206 )
| ( p3 = A_6207 )
| ~ incident(p3,C_6206)
| ~ incident(A_6207,a1a2)
| ~ incident(A_6207,C_6206) ),
inference(resolution,[status(thm)],[c_56,c_181142]) ).
tff(c_182362,plain,
! [A_6207] :
( ( b1b2 = a1a2 )
| ( p3 = A_6207 )
| ~ incident(A_6207,a1a2)
| ~ incident(A_6207,b1b2) ),
inference(resolution,[status(thm)],[c_58,c_182354]) ).
tff(c_182376,plain,
! [A_6208] :
( ( p3 = A_6208 )
| ~ incident(A_6208,a1a2)
| ~ incident(A_6208,b1b2) ),
inference(negUnitSimplification,[status(thm)],[c_116,c_182362]) ).
tff(c_182387,plain,
( ( p3 = a3 )
| ~ incident(a3,a1a2) ),
inference(resolution,[status(thm)],[c_164573,c_182376]) ).
tff(c_182405,plain,
p3 = a3,
inference(demodulation,[status(thm),theory(equality)],[c_181302,c_182387]) ).
tff(c_182158,plain,
p1 = b2,
inference(splitRight,[status(thm)],[c_181899]) ).
tff(c_181540,plain,
! [A_1] :
( ~ incident(b3,A_1)
| ~ incident(p1,A_1)
| ~ incident(p3,A_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_181529,c_125]) ).
tff(c_181727,plain,
! [A_1] :
( ~ incident(a1,A_1)
| ~ incident(p1,A_1)
| ~ incident(p3,A_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_181712,c_181540]) ).
tff(c_182219,plain,
! [A_1] :
( ~ incident(a1,A_1)
| ~ incident(b2,A_1)
| ~ incident(p3,A_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_182158,c_181727]) ).
tff(c_182592,plain,
! [A_6216] :
( ~ incident(a1,A_6216)
| ~ incident(b2,A_6216)
| ~ incident(a3,A_6216) ),
inference(demodulation,[status(thm),theory(equality)],[c_182405,c_182219]) ).
tff(c_182622,plain,
( ~ incident(a1,s2)
| ~ incident(a3,s2) ),
inference(resolution,[status(thm)],[c_52,c_182592]) ).
tff(c_182641,plain,
~ incident(a3,s2),
inference(splitLeft,[status(thm)],[c_182622]) ).
tff(c_182698,plain,
~ incident(a3,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_182697,c_182641]) ).
tff(c_182708,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_164573,c_182698]) ).
tff(c_182711,plain,
! [A_6220] :
( ( b2 = A_6220 )
| ~ incident(A_6220,s2)
| ~ incident(A_6220,b1b2) ),
inference(splitRight,[status(thm)],[c_182513]) ).
tff(c_182740,plain,
( ( b2 = a2 )
| ~ incident(a2,b1b2) ),
inference(resolution,[status(thm)],[c_46,c_182711]) ).
tff(c_182742,plain,
~ incident(a2,b1b2),
inference(splitLeft,[status(thm)],[c_182740]) ).
tff(c_182959,plain,
~ incident(a2,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_182954,c_182742]) ).
tff(c_182972,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_18,c_182959]) ).
tff(c_182976,plain,
! [A_6229] :
( ( b1 = A_6229 )
| ~ incident(A_6229,a2a3)
| ~ incident(A_6229,b1b2) ),
inference(splitRight,[status(thm)],[c_182806]) ).
tff(c_182993,plain,
( ( b2 = b1 )
| ~ incident(b2,a2a3) ),
inference(resolution,[status(thm)],[c_28,c_182976]) ).
tff(c_183009,plain,
b2 = b1,
inference(demodulation,[status(thm),theory(equality)],[c_182159,c_182993]) ).
tff(c_183011,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_119,c_183009]) ).
tff(c_183012,plain,
b2 = a2,
inference(splitRight,[status(thm)],[c_182740]) ).
tff(c_181703,plain,
( ( b3 = b2 )
| ~ incident(b2,a1a2) ),
inference(resolution,[status(thm)],[c_30,c_181683]) ).
tff(c_181720,plain,
~ incident(b2,a1a2),
inference(negUnitSimplification,[status(thm)],[c_118,c_181703]) ).
tff(c_183052,plain,
~ incident(a2,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_183012,c_181720]) ).
tff(c_183064,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_183052]) ).
tff(c_183066,plain,
incident(a3,s2),
inference(splitRight,[status(thm)],[c_182622]) ).
tff(c_183140,plain,
s2 = b1b2,
inference(splitLeft,[status(thm)],[c_182513]) ).
tff(c_183149,plain,
incident(a2,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_183140,c_46]) ).
tff(c_182373,plain,
! [A_6207] :
( ( p3 = A_6207 )
| ~ incident(A_6207,a1a2)
| ~ incident(A_6207,b1b2) ),
inference(negUnitSimplification,[status(thm)],[c_116,c_182362]) ).
tff(c_182412,plain,
! [A_6207] :
( ( a3 = A_6207 )
| ~ incident(A_6207,a1a2)
| ~ incident(A_6207,b1b2) ),
inference(demodulation,[status(thm),theory(equality)],[c_182405,c_182373]) ).
tff(c_183189,plain,
( ( a3 = a2 )
| ~ incident(a2,a1a2) ),
inference(resolution,[status(thm)],[c_183149,c_182412]) ).
tff(c_183200,plain,
a3 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_183189]) ).
tff(c_183202,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_121,c_183200]) ).
tff(c_183205,plain,
! [A_6237] :
( ( b2 = A_6237 )
| ~ incident(A_6237,s2)
| ~ incident(A_6237,b1b2) ),
inference(splitRight,[status(thm)],[c_182513]) ).
tff(c_183208,plain,
( ( b2 = a3 )
| ~ incident(a3,b1b2) ),
inference(resolution,[status(thm)],[c_183066,c_183205]) ).
tff(c_183228,plain,
b2 = a3,
inference(demodulation,[status(thm),theory(equality)],[c_164573,c_183208]) ).
tff(c_183250,plain,
~ incident(a3,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_183228,c_181720]) ).
tff(c_183262,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_181302,c_183250]) ).
tff(c_183265,plain,
! [A_6238] :
( ( b3 = A_6238 )
| ~ incident(A_6238,a1a2)
| ~ incident(A_6238,s3) ),
inference(splitRight,[status(thm)],[c_181274]) ).
tff(c_183294,plain,
( ( s = b3 )
| ~ incident(s,a1a2) ),
inference(resolution,[status(thm)],[c_42,c_183265]) ).
tff(c_183318,plain,
~ incident(s,a1a2),
inference(splitLeft,[status(thm)],[c_183294]) ).
tff(c_185298,plain,
~ incident(a1,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_185296,c_183318]) ).
tff(c_185305,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_185298]) ).
tff(c_185365,plain,
! [A_6310] :
( ( b1 = A_6310 )
| ~ incident(A_6310,b1b2)
| ~ incident(A_6310,a2a3) ),
inference(splitRight,[status(thm)],[c_184179]) ).
tff(c_185379,plain,
( ( b1 = a3 )
| ~ incident(a3,a2a3) ),
inference(resolution,[status(thm)],[c_164573,c_185365]) ).
tff(c_185400,plain,
b1 = a3,
inference(demodulation,[status(thm),theory(equality)],[c_20,c_185379]) ).
tff(c_185430,plain,
~ incident(a3,a3a1),
inference(demodulation,[status(thm),theory(equality)],[c_185400,c_183349]) ).
tff(c_185439,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_22,c_185430]) ).
tff(c_185440,plain,
p2 = b1,
inference(splitRight,[status(thm)],[c_183347]) ).
tff(c_185474,plain,
~ incident(b1,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_185440,c_180997]) ).
tff(c_185481,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_26,c_185474]) ).
tff(c_185482,plain,
s = b3,
inference(splitRight,[status(thm)],[c_183294]) ).
tff(c_185486,plain,
incident(b3,s2),
inference(demodulation,[status(thm),theory(equality)],[c_185482,c_40]) ).
tff(c_185977,plain,
incident(a1,s2),
inference(demodulation,[status(thm),theory(equality)],[c_185959,c_185486]) ).
tff(c_186275,plain,
incident(a1,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_186274,c_185977]) ).
tff(c_186278,plain,
incident(b2,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_186274,c_52]) ).
tff(c_186299,plain,
! [C_6341,A_6342] :
( ( b2b3 = C_6341 )
| ( p1 = A_6342 )
| ~ incident(p1,C_6341)
| ~ incident(A_6342,b2b3)
| ~ incident(A_6342,C_6341) ),
inference(resolution,[status(thm)],[c_62,c_181142]) ).
tff(c_186309,plain,
! [A_6342] :
( ( b2b3 = a2a3 )
| ( p1 = A_6342 )
| ~ incident(A_6342,b2b3)
| ~ incident(A_6342,a2a3) ),
inference(resolution,[status(thm)],[c_60,c_186299]) ).
tff(c_186340,plain,
! [A_6343] :
( ( p1 = A_6343 )
| ~ incident(A_6343,b2b3)
| ~ incident(A_6343,a2a3) ),
inference(negUnitSimplification,[status(thm)],[c_115,c_186309]) ).
tff(c_186357,plain,
( ( p1 = b2 )
| ~ incident(b2,a2a3) ),
inference(resolution,[status(thm)],[c_30,c_186340]) ).
tff(c_186373,plain,
p1 = b2,
inference(demodulation,[status(thm),theory(equality)],[c_186278,c_186357]) ).
tff(c_186321,plain,
! [A_6342] :
( ( p1 = A_6342 )
| ~ incident(A_6342,b2b3)
| ~ incident(A_6342,a2a3) ),
inference(negUnitSimplification,[status(thm)],[c_115,c_186309]) ).
tff(c_186392,plain,
! [A_6344] :
( ( b2 = A_6344 )
| ~ incident(A_6344,b2b3)
| ~ incident(A_6344,a2a3) ),
inference(demodulation,[status(thm),theory(equality)],[c_186373,c_186321]) ).
tff(c_186403,plain,
( ( b2 = a1 )
| ~ incident(a1,a2a3) ),
inference(resolution,[status(thm)],[c_102984,c_186392]) ).
tff(c_186415,plain,
b2 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_186275,c_186403]) ).
tff(c_186417,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_185987,c_186415]) ).
tff(c_186420,plain,
! [A_6345] :
( ( a2 = A_6345 )
| ~ incident(A_6345,s2)
| ~ incident(A_6345,a2a3) ),
inference(splitRight,[status(thm)],[c_185796]) ).
tff(c_186447,plain,
( ( b2 = a2 )
| ~ incident(b2,a2a3) ),
inference(resolution,[status(thm)],[c_52,c_186420]) ).
tff(c_186452,plain,
~ incident(b2,a2a3),
inference(splitLeft,[status(thm)],[c_186447]) ).
tff(c_185621,plain,
b2b3 = a1a2,
inference(splitLeft,[status(thm)],[c_181275]) ).
tff(c_185624,plain,
incident(p1,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_185621,c_62]) ).
tff(c_185631,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_181013,c_185624]) ).
tff(c_185660,plain,
! [A_6319] :
( ( b3 = A_6319 )
| ~ incident(A_6319,a1a2)
| ~ incident(A_6319,b2b3) ),
inference(splitRight,[status(thm)],[c_181275]) ).
tff(c_185671,plain,
( ( b3 = a1 )
| ~ incident(a1,a1a2) ),
inference(resolution,[status(thm)],[c_102984,c_185660]) ).
tff(c_185689,plain,
b3 = a1,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_185671]) ).
tff(c_185495,plain,
! [A_6313] :
( ( p2 = A_6313 )
| ~ incident(A_6313,a3a1)
| ~ incident(A_6313,b3b1) ),
inference(negUnitSimplification,[status(thm)],[c_114,c_183306]) ).
tff(c_185524,plain,
( ( p2 = b3 )
| ~ incident(b3,a3a1) ),
inference(resolution,[status(thm)],[c_34,c_185495]) ).
tff(c_185558,plain,
~ incident(b3,a3a1),
inference(splitLeft,[status(thm)],[c_185524]) ).
tff(c_185698,plain,
~ incident(a1,a3a1),
inference(demodulation,[status(thm),theory(equality)],[c_185689,c_185558]) ).
tff(c_185713,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_24,c_185698]) ).
tff(c_185714,plain,
p2 = b3,
inference(splitRight,[status(thm)],[c_185524]) ).
tff(c_185722,plain,
~ incident(b3,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_185714,c_180997]) ).
tff(c_185973,plain,
~ incident(a1,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_185959,c_185722]) ).
tff(c_186453,plain,
! [C_6346,A_6347] :
( ( b2b3 = C_6346 )
| ( p1 = A_6347 )
| ~ incident(p1,C_6346)
| ~ incident(A_6347,b2b3)
| ~ incident(A_6347,C_6346) ),
inference(resolution,[status(thm)],[c_62,c_181142]) ).
tff(c_186472,plain,
! [A_6347] :
( ( b2b3 = b1b2 )
| ( p1 = A_6347 )
| ~ incident(A_6347,b2b3)
| ~ incident(A_6347,b1b2) ),
inference(resolution,[status(thm)],[c_180998,c_186453]) ).
tff(c_186580,plain,
b2b3 = b1b2,
inference(splitLeft,[status(thm)],[c_186472]) ).
tff(c_186587,plain,
incident(a1,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_186580,c_102984]) ).
tff(c_186593,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_185973,c_186587]) ).
tff(c_186621,plain,
! [A_6354] :
( ( p1 = A_6354 )
| ~ incident(A_6354,b2b3)
| ~ incident(A_6354,b1b2) ),
inference(splitRight,[status(thm)],[c_186472]) ).
tff(c_186638,plain,
( ( p1 = b2 )
| ~ incident(b2,b1b2) ),
inference(resolution,[status(thm)],[c_30,c_186621]) ).
tff(c_186652,plain,
p1 = b2,
inference(demodulation,[status(thm),theory(equality)],[c_28,c_186638]) ).
tff(c_186662,plain,
incident(b2,a2a3),
inference(demodulation,[status(thm),theory(equality)],[c_186652,c_60]) ).
tff(c_186667,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_186452,c_186662]) ).
tff(c_186668,plain,
b2 = a2,
inference(splitRight,[status(thm)],[c_186447]) ).
tff(c_185950,plain,
( ( b3 = b2 )
| ~ incident(b2,a1a2) ),
inference(resolution,[status(thm)],[c_30,c_185930]) ).
tff(c_185967,plain,
~ incident(b2,a1a2),
inference(negUnitSimplification,[status(thm)],[c_118,c_185950]) ).
tff(c_186671,plain,
~ incident(a2,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_186668,c_185967]) ).
tff(c_186680,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_186671]) ).
tff(c_186682,plain,
incident(p1,a1a2),
inference(splitRight,[status(thm)],[c_137736]) ).
tff(c_188018,plain,
( ( p3 = p1 )
| ~ incident(p1,a1a2) ),
inference(resolution,[status(thm)],[c_60,c_187989]) ).
tff(c_188038,plain,
p3 = p1,
inference(demodulation,[status(thm),theory(equality)],[c_186682,c_188018]) ).
tff(c_188056,plain,
p1 = a2,
inference(demodulation,[status(thm),theory(equality)],[c_188034,c_188038]) ).
tff(c_186772,plain,
! [B_6361,A_6362] :
( incident(B_6361,'#skF_1'(A_6362,B_6361))
| ~ point(B_6361)
| ~ point(A_6362) ),
inference(cnfTransformation,[status(thm)],[f_162]) ).
tff(c_186782,plain,
! [A_6362] :
( ~ incident(p2,'#skF_1'(A_6362,p3))
| ~ incident(p1,'#skF_1'(A_6362,p3))
| ~ point(p3)
| ~ point(A_6362) ),
inference(resolution,[status(thm)],[c_186772,c_125]) ).
tff(c_186805,plain,
! [A_6367] :
( ~ incident(p2,'#skF_1'(A_6367,p3))
| ~ incident(p1,'#skF_1'(A_6367,p3))
| ~ point(A_6367) ),
inference(demodulation,[status(thm),theory(equality)],[c_137834,c_186782]) ).
tff(c_186809,plain,
( ~ incident(p1,'#skF_1'(p2,p3))
| ~ point(p3)
| ~ point(p2) ),
inference(resolution,[status(thm)],[c_107,c_186805]) ).
tff(c_186812,plain,
~ incident(p1,'#skF_1'(p2,p3)),
inference(demodulation,[status(thm),theory(equality)],[c_137850,c_137834,c_186809]) ).
tff(c_188044,plain,
~ incident(p1,'#skF_1'(p2,a2)),
inference(demodulation,[status(thm),theory(equality)],[c_188034,c_186812]) ).
tff(c_188112,plain,
~ incident(a2,'#skF_1'(p2,a2)),
inference(demodulation,[status(thm),theory(equality)],[c_188056,c_188044]) ).
tff(c_188115,plain,
( ~ point(a2)
| ~ point(p2) ),
inference(resolution,[status(thm)],[c_105,c_188112]) ).
tff(c_188119,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_137850,c_137851,c_188115]) ).
tff(c_188149,plain,
! [A_6414] :
( ( b1 = A_6414 )
| ~ incident(A_6414,b1b2)
| ~ incident(A_6414,a2a3) ),
inference(splitRight,[status(thm)],[c_187423]) ).
tff(c_188163,plain,
( ( b1 = a3 )
| ~ incident(a3,a2a3) ),
inference(resolution,[status(thm)],[c_164573,c_188149]) ).
tff(c_188184,plain,
b1 = a3,
inference(demodulation,[status(thm),theory(equality)],[c_20,c_188163]) ).
tff(c_188160,plain,
( ( p1 = b1 )
| ~ incident(p1,a2a3) ),
inference(resolution,[status(thm)],[c_180998,c_188149]) ).
tff(c_188181,plain,
p1 = b1,
inference(demodulation,[status(thm),theory(equality)],[c_60,c_188160]) ).
tff(c_188197,plain,
incident(b1,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_188181,c_186682]) ).
tff(c_188257,plain,
incident(a3,a1a2),
inference(demodulation,[status(thm),theory(equality)],[c_188184,c_188197]) ).
tff(c_188258,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_187399,c_188257]) ).
tff(c_188259,plain,
b3 = a3,
inference(splitRight,[status(thm)],[c_187397]) ).
tff(c_188267,plain,
incident(a3,b3b1),
inference(demodulation,[status(thm),theory(equality)],[c_188259,c_34]) ).
tff(c_188418,plain,
! [C_6420,A_6421] :
( ( a3a1 = C_6420 )
| ( a3 = A_6421 )
| ~ incident(a3,C_6420)
| ~ incident(A_6421,a3a1)
| ~ incident(A_6421,C_6420) ),
inference(resolution,[status(thm)],[c_22,c_186821]) ).
tff(c_188424,plain,
! [A_6421] :
( ( b3b1 = a3a1 )
| ( a3 = A_6421 )
| ~ incident(A_6421,a3a1)
| ~ incident(A_6421,b3b1) ),
inference(resolution,[status(thm)],[c_188267,c_188418]) ).
tff(c_188481,plain,
! [A_6423] :
( ( a3 = A_6423 )
| ~ incident(A_6423,a3a1)
| ~ incident(A_6423,b3b1) ),
inference(negUnitSimplification,[status(thm)],[c_114,c_188424]) ).
tff(c_188495,plain,
( ( p2 = a3 )
| ~ incident(p2,a3a1) ),
inference(resolution,[status(thm)],[c_66,c_188481]) ).
tff(c_188511,plain,
p2 = a3,
inference(demodulation,[status(thm),theory(equality)],[c_64,c_188495]) ).
tff(c_188517,plain,
~ incident(a3,b1b2),
inference(demodulation,[status(thm),theory(equality)],[c_188511,c_180997]) ).
tff(c_188524,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_164573,c_188517]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO169+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.34 % Computer : n002.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 4 00:28:47 EDT 2023
% 0.13/0.34 % CPUTime :
% 34.04/20.27 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 36.62/22.45
% 36.62/22.45 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 37.56/22.69
% 37.56/22.69 Inference rules
% 37.56/22.69 ----------------------
% 37.56/22.69 #Ref : 0
% 37.56/22.69 #Sup : 31199
% 37.56/22.69 #Fact : 0
% 37.56/22.69 #Define : 0
% 37.56/22.69 #Split : 2681
% 37.56/22.69 #Chain : 0
% 37.56/22.69 #Close : 0
% 37.56/22.69
% 37.56/22.69 Ordering : KBO
% 37.56/22.69
% 37.56/22.69 Simplification rules
% 37.56/22.69 ----------------------
% 37.56/22.70 #Subsume : 4428
% 37.56/22.70 #Demod : 45673
% 37.56/22.70 #Tautology : 14105
% 37.56/22.70 #SimpNegUnit : 3321
% 37.56/22.70 #BackRed : 20742
% 37.56/22.70
% 37.56/22.70 #Partial instantiations: 0
% 37.56/22.70 #Strategies tried : 1
% 37.56/22.70
% 37.56/22.70 Timing (in seconds)
% 37.56/22.70 ----------------------
% 37.56/22.70 Preprocessing : 0.62
% 37.56/22.70 Parsing : 0.31
% 37.56/22.70 CNF conversion : 0.04
% 37.56/22.70 Main loop : 18.60
% 37.56/22.70 Inferencing : 4.57
% 37.56/22.70 Reduction : 8.52
% 37.56/22.70 Demodulation : 6.12
% 37.56/22.70 BG Simplification : 0.26
% 37.56/22.70 Subsumption : 4.00
% 37.56/22.70 Abstraction : 0.37
% 37.56/22.70 MUC search : 0.00
% 37.56/22.70 Cooper : 0.00
% 37.56/22.70 Total : 21.66
% 37.56/22.70 Index Insertion : 0.00
% 37.56/22.70 Index Deletion : 0.00
% 37.56/22.70 Index Matching : 0.00
% 37.56/22.70 BG Taut test : 0.00
%------------------------------------------------------------------------------