TSTP Solution File: SWV103+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWV103+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/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 11:02:55 EDT 2023
% Result : Theorem 19.33s 6.85s
% Output : CNFRefutation 19.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 82
% Syntax : Number of formulae : 246 ( 129 unt; 63 typ; 0 def)
% Number of atoms : 278 ( 164 equ)
% Maximal formula atoms : 18 ( 1 avg)
% Number of connectives : 215 ( 120 ~; 70 |; 18 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 160 ( 49 >; 111 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 2 prp; 0-2 aty)
% Number of functors : 58 ( 58 usr; 13 con; 0-8 aty)
% Number of variables : 104 (; 104 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ lt > leq > gt > geq > tptp_update3 > tptp_update2 > tptp_const_array2 > sum > a_select3 > uniform_int_rnd > tptp_msub > tptp_mmul > tptp_madd > tptp_const_array1 > plus > minus > dim > a_select2 > #nlpp > trans > succ > pred > inv > xinit_defuse > use > u_defuse > true > tptp_minus_1 > tptp_float_0_0 > sigma_defuse > n5 > n4 > n3 > n2 > n1 > n0 > def > #skF_13 > #skF_24 > #skF_17 > #skF_23 > #skF_6 > #skF_19 > #skF_27 > #skF_21 > #skF_25 > #skF_12 > #skF_18 > #skF_3 > #skF_26 > #skF_20 > #skF_11 > #skF_7 > #skF_9 > #skF_15 > #skF_22 > #skF_14 > #skF_2 > #skF_8 > #skF_1 > #skF_5 > #skF_4 > #skF_16 > #skF_10
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_13',type,
'#skF_13': ( $i * $i * $i ) > $i ).
tff('#skF_24',type,
'#skF_24': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(xinit_defuse,type,
xinit_defuse: $i ).
tff(true,type,
true: $o ).
tff('#skF_17',type,
'#skF_17': ( $i * $i * $i * $i ) > $i ).
tff(tptp_const_array2,type,
tptp_const_array2: ( $i * $i * $i ) > $i ).
tff('#skF_23',type,
'#skF_23': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_6',type,
'#skF_6': ( $i * $i ) > $i ).
tff(tptp_minus_1,type,
tptp_minus_1: $i ).
tff('#skF_19',type,
'#skF_19': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_27',type,
'#skF_27': ( $i * $i * $i * $i ) > $i ).
tff('#skF_21',type,
'#skF_21': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_25',type,
'#skF_25': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_12',type,
'#skF_12': ( $i * $i * $i ) > $i ).
tff('#skF_18',type,
'#skF_18': ( $i * $i * $i * $i ) > $i ).
tff(a_select3,type,
a_select3: ( $i * $i * $i ) > $i ).
tff(tptp_float_0_0,type,
tptp_float_0_0: $i ).
tff(a_select2,type,
a_select2: ( $i * $i ) > $i ).
tff('#skF_3',type,
'#skF_3': ( $i * $i ) > $i ).
tff(trans,type,
trans: $i > $i ).
tff(tptp_update3,type,
tptp_update3: ( $i * $i * $i * $i ) > $i ).
tff(n3,type,
n3: $i ).
tff('#skF_26',type,
'#skF_26': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(use,type,
use: $i ).
tff(inv,type,
inv: $i > $i ).
tff(n1,type,
n1: $i ).
tff(tptp_madd,type,
tptp_madd: ( $i * $i ) > $i ).
tff(plus,type,
plus: ( $i * $i ) > $i ).
tff('#skF_20',type,
'#skF_20': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(n0,type,
n0: $i ).
tff('#skF_11',type,
'#skF_11': ( $i * $i * $i ) > $i ).
tff(tptp_update2,type,
tptp_update2: ( $i * $i * $i ) > $i ).
tff(gt,type,
gt: ( $i * $i ) > $o ).
tff('#skF_7',type,
'#skF_7': ( $i * $i * $i ) > $i ).
tff(n4,type,
n4: $i ).
tff(tptp_msub,type,
tptp_msub: ( $i * $i ) > $i ).
tff('#skF_9',type,
'#skF_9': ( $i * $i * $i ) > $i ).
tff(tptp_const_array1,type,
tptp_const_array1: ( $i * $i ) > $i ).
tff('#skF_15',type,
'#skF_15': ( $i * $i * $i ) > $i ).
tff('#skF_22',type,
'#skF_22': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_14',type,
'#skF_14': ( $i * $i * $i ) > $i ).
tff(tptp_mmul,type,
tptp_mmul: ( $i * $i ) > $i ).
tff(uniform_int_rnd,type,
uniform_int_rnd: ( $i * $i ) > $i ).
tff(geq,type,
geq: ( $i * $i ) > $o ).
tff(leq,type,
leq: ( $i * $i ) > $o ).
tff(lt,type,
lt: ( $i * $i ) > $o ).
tff('#skF_2',type,
'#skF_2': ( $i * $i ) > $i ).
tff(def,type,
def: $i ).
tff('#skF_8',type,
'#skF_8': ( $i * $i * $i ) > $i ).
tff(u_defuse,type,
u_defuse: $i ).
tff(n2,type,
n2: $i ).
tff(n5,type,
n5: $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff(succ,type,
succ: $i > $i ).
tff(pred,type,
pred: $i > $i ).
tff(sum,type,
sum: ( $i * $i * $i ) > $i ).
tff('#skF_5',type,
'#skF_5': ( $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i ) > $i ).
tff('#skF_16',type,
'#skF_16': ( $i * $i * $i ) > $i ).
tff('#skF_10',type,
'#skF_10': ( $i * $i * $i ) > $i ).
tff(dim,type,
dim: ( $i * $i ) > $i ).
tff(sigma_defuse,type,
sigma_defuse: $i ).
tff(minus,type,
minus: ( $i * $i ) > $i ).
tff(f_89,axiom,
! [X,Y] :
( geq(X,Y)
<=> leq(Y,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_geq) ).
tff(f_608,axiom,
succ(succ(n0)) = n2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_2) ).
tff(f_609,axiom,
succ(succ(succ(n0))) = n3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_3) ).
tff(f_607,axiom,
succ(n0) = n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_1) ).
tff(f_605,axiom,
succ(succ(succ(succ(n0)))) = n4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_4) ).
tff(f_116,axiom,
! [X,Y] :
( leq(X,Y)
<=> gt(succ(Y),X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_succ_gt_equiv) ).
tff(f_71,axiom,
! [X] : ~ gt(X,X),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',irreflexivity_gt) ).
tff(f_453,axiom,
! [X,U,VAL] : ( a_select2(tptp_update2(X,U,VAL),U) = VAL ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',sel2_update_1) ).
tff(f_460,axiom,
! [I,U,X,VAL,VAL2] :
( ( ( I != U )
& ( a_select2(X,U) = VAL ) )
=> ( a_select2(tptp_update2(X,I,VAL2),U) = VAL ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',sel2_update_2) ).
tff(f_74,axiom,
! [X] : leq(X,X),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',reflexivity_leq) ).
tff(f_384,axiom,
! [X] : ( plus(X,n2) = succ(succ(X)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_plus_2_r) ).
tff(f_112,axiom,
! [X,Y] :
( leq(X,Y)
=> leq(X,succ(Y)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_succ) ).
tff(f_516,negated_conjecture,
~ ( ( ( a_select3(u_defuse,n0,n0) = use )
& ( a_select3(u_defuse,n1,n0) = use )
& ( a_select3(u_defuse,n2,n0) = use )
& ( a_select2(xinit_defuse,n3) = use )
& ( a_select2(xinit_defuse,n4) = use )
& ( a_select2(xinit_defuse,n5) = use ) )
=> ( ( a_select3(u_defuse,n0,n0) = use )
& ( a_select3(u_defuse,n1,n0) = use )
& ( a_select3(u_defuse,n2,n0) = use )
& ( a_select2(xinit_defuse,n3) = use )
& ( a_select2(xinit_defuse,n4) = use )
& ( a_select2(xinit_defuse,n5) = use )
& ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0) = use )
& ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) = use )
& ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) = use )
& ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) = use )
& ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) = use )
& ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5) = use ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_inuse_0015) ).
tff(f_108,axiom,
! [X] : gt(succ(X),X),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',gt_succ) ).
tff(f_518,axiom,
gt(n5,n4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_5_4) ).
tff(f_68,axiom,
! [X,Y,Z] :
( ( gt(X,Y)
& gt(Y,Z) )
=> gt(X,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',transitivity_gt) ).
tff(f_534,axiom,
gt(n4,n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_4_2) ).
tff(f_94,axiom,
! [X,Y] :
( gt(Y,X)
=> leq(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_gt1) ).
tff(f_606,axiom,
succ(succ(succ(succ(succ(n0))))) = n5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_5) ).
tff(c_16,plain,
! [Y_14,X_13] :
( leq(Y_14,X_13)
| ~ geq(X_13,Y_14) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_586,plain,
succ(succ(n0)) = n2,
inference(cnfTransformation,[status(thm)],[f_608]) ).
tff(c_588,plain,
succ(succ(succ(n0))) = n3,
inference(cnfTransformation,[status(thm)],[f_609]) ).
tff(c_589,plain,
succ(n2) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_586,c_588]) ).
tff(c_584,plain,
succ(n0) = n1,
inference(cnfTransformation,[status(thm)],[f_607]) ).
tff(c_590,plain,
succ(n1) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_584,c_586]) ).
tff(c_580,plain,
succ(succ(succ(succ(n0)))) = n4,
inference(cnfTransformation,[status(thm)],[f_605]) ).
tff(c_592,plain,
succ(n3) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_589,c_590,c_584,c_580]) ).
tff(c_21448,plain,
! [Y_777,X_778] :
( gt(succ(Y_777),X_778)
| ~ leq(X_778,Y_777) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_6,plain,
! [X_6] : ~ gt(X_6,X_6),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_21489,plain,
! [Y_779] : ~ leq(succ(Y_779),Y_779),
inference(resolution,[status(thm)],[c_21448,c_6]) ).
tff(c_21524,plain,
~ leq(n4,n3),
inference(superposition,[status(thm),theory(equality)],[c_592,c_21489]) ).
tff(c_21553,plain,
~ geq(n3,n4),
inference(resolution,[status(thm)],[c_16,c_21524]) ).
tff(c_498,plain,
! [X_168,U_169,VAL_170] : ( a_select2(tptp_update2(X_168,U_169,VAL_170),U_169) = VAL_170 ),
inference(cnfTransformation,[status(thm)],[f_453]) ).
tff(c_500,plain,
! [X_173,I_171,VAL2_175,U_172] :
( ( a_select2(tptp_update2(X_173,I_171,VAL2_175),U_172) = a_select2(X_173,U_172) )
| ( U_172 = I_171 ) ),
inference(cnfTransformation,[status(thm)],[f_460]) ).
tff(c_23794,plain,
! [X_842,I_843,VAL2_844,U_845] :
( ( a_select2(tptp_update2(X_842,I_843,VAL2_844),U_845) = a_select2(X_842,U_845) )
| ( U_845 = I_843 ) ),
inference(cnfTransformation,[status(thm)],[f_460]) ).
tff(c_8,plain,
! [X_7] : leq(X_7,X_7),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_5558,plain,
! [X_338,Y_339] :
( geq(X_338,Y_339)
| ~ leq(Y_339,X_338) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_5566,plain,
! [X_7] : geq(X_7,X_7),
inference(resolution,[status(thm)],[c_8,c_5558]) ).
tff(c_18137,plain,
! [X_685,I_686,VAL2_687,U_688] :
( ( a_select2(tptp_update2(X_685,I_686,VAL2_687),U_688) = a_select2(X_685,U_688) )
| ( U_688 = I_686 ) ),
inference(cnfTransformation,[status(thm)],[f_460]) ).
tff(c_915,plain,
! [X_198] : ( succ(succ(X_198)) = plus(X_198,n2) ),
inference(cnfTransformation,[status(thm)],[f_384]) ).
tff(c_960,plain,
plus(n2,n2) = succ(n3),
inference(superposition,[status(thm),theory(equality)],[c_589,c_915]) ).
tff(c_971,plain,
plus(n2,n2) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_592,c_960]) ).
tff(c_454,plain,
! [X_132] : ( succ(succ(X_132)) = plus(X_132,n2) ),
inference(cnfTransformation,[status(thm)],[f_384]) ).
tff(c_9075,plain,
! [X_444,Y_445] :
( leq(X_444,succ(Y_445))
| ~ leq(X_444,Y_445) ),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_8898,plain,
! [Y_440,X_441] :
( gt(succ(Y_440),X_441)
| ~ leq(X_441,Y_440) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_8938,plain,
! [Y_440] : ~ leq(succ(Y_440),Y_440),
inference(resolution,[status(thm)],[c_8898,c_6]) ).
tff(c_9079,plain,
! [Y_445] : ~ leq(succ(succ(Y_445)),Y_445),
inference(resolution,[status(thm)],[c_9075,c_8938]) ).
tff(c_9709,plain,
! [Y_460] : ~ leq(plus(Y_460,n2),Y_460),
inference(demodulation,[status(thm),theory(equality)],[c_454,c_9079]) ).
tff(c_9736,plain,
~ leq(n4,n2),
inference(superposition,[status(thm),theory(equality)],[c_971,c_9709]) ).
tff(c_9865,plain,
~ geq(n2,n4),
inference(resolution,[status(thm)],[c_16,c_9736]) ).
tff(c_11222,plain,
! [X_504,I_505,VAL2_506,U_507] :
( ( a_select2(tptp_update2(X_504,I_505,VAL2_506),U_507) = a_select2(X_504,U_507) )
| ( U_507 = I_505 ) ),
inference(cnfTransformation,[status(thm)],[f_460]) ).
tff(c_8464,plain,
! [X_423,I_424,VAL2_425,U_426] :
( ( a_select2(tptp_update2(X_423,I_424,VAL2_425),U_426) = a_select2(X_423,U_426) )
| ( U_426 = I_424 ) ),
inference(cnfTransformation,[status(thm)],[f_460]) ).
tff(c_1473,plain,
! [Y_226,X_227] :
( gt(succ(Y_226),X_227)
| ~ leq(X_227,Y_226) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_1516,plain,
! [Y_228] : ~ leq(succ(Y_228),Y_228),
inference(resolution,[status(thm)],[c_1473,c_6]) ).
tff(c_1546,plain,
~ leq(n2,n1),
inference(superposition,[status(thm),theory(equality)],[c_590,c_1516]) ).
tff(c_1572,plain,
~ geq(n1,n2),
inference(resolution,[status(thm)],[c_16,c_1546]) ).
tff(c_3207,plain,
! [X_276,I_277,VAL2_278,U_279] :
( ( a_select2(tptp_update2(X_276,I_277,VAL2_278),U_279) = a_select2(X_276,U_279) )
| ( U_279 = I_277 ) ),
inference(cnfTransformation,[status(thm)],[f_460]) ).
tff(c_524,plain,
a_select3(u_defuse,n0,n0) = use,
inference(cnfTransformation,[status(thm)],[f_516]) ).
tff(c_522,plain,
a_select3(u_defuse,n1,n0) = use,
inference(cnfTransformation,[status(thm)],[f_516]) ).
tff(c_520,plain,
a_select3(u_defuse,n2,n0) = use,
inference(cnfTransformation,[status(thm)],[f_516]) ).
tff(c_518,plain,
a_select2(xinit_defuse,n3) = use,
inference(cnfTransformation,[status(thm)],[f_516]) ).
tff(c_516,plain,
a_select2(xinit_defuse,n4) = use,
inference(cnfTransformation,[status(thm)],[f_516]) ).
tff(c_514,plain,
a_select2(xinit_defuse,n5) = use,
inference(cnfTransformation,[status(thm)],[f_516]) ).
tff(c_512,plain,
( ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0) != use )
| ( a_select2(xinit_defuse,n5) != use )
| ( a_select2(xinit_defuse,n4) != use )
| ( a_select2(xinit_defuse,n3) != use )
| ( a_select3(u_defuse,n2,n0) != use )
| ( a_select3(u_defuse,n1,n0) != use )
| ( a_select3(u_defuse,n0,n0) != use ) ),
inference(cnfTransformation,[status(thm)],[f_516]) ).
tff(c_595,plain,
( ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0) != use ) ),
inference(demodulation,[status(thm),theory(equality)],[c_524,c_522,c_520,c_518,c_516,c_514,c_512]) ).
tff(c_597,plain,
( ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0) != use ) ),
inference(demodulation,[status(thm),theory(equality)],[c_498,c_595]) ).
tff(c_994,plain,
a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0) != use,
inference(splitLeft,[status(thm)],[c_597]) ).
tff(c_3217,plain,
( ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n0) != use )
| ( n5 = n0 ) ),
inference(superposition,[status(thm),theory(equality)],[c_3207,c_994]) ).
tff(c_3341,plain,
a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n0) != use,
inference(splitLeft,[status(thm)],[c_3217]) ).
tff(c_3639,plain,
( ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n0) != use )
| ( n4 = n0 ) ),
inference(superposition,[status(thm),theory(equality)],[c_500,c_3341]) ).
tff(c_3806,plain,
a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n0) != use,
inference(splitLeft,[status(thm)],[c_3639]) ).
tff(c_4233,plain,
( ( a_select2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n0) != use )
| ( n3 = n0 ) ),
inference(superposition,[status(thm),theory(equality)],[c_500,c_3806]) ).
tff(c_4514,plain,
a_select2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n0) != use,
inference(splitLeft,[status(thm)],[c_4233]) ).
tff(c_4823,plain,
( ( a_select2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n0) != use )
| ( n2 = n0 ) ),
inference(superposition,[status(thm),theory(equality)],[c_500,c_4514]) ).
tff(c_4991,plain,
a_select2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n0) != use,
inference(splitLeft,[status(thm)],[c_4823]) ).
tff(c_5206,plain,
( ( a_select2(tptp_update2(sigma_defuse,n0,use),n0) != use )
| ( n1 = n0 ) ),
inference(superposition,[status(thm),theory(equality)],[c_500,c_4991]) ).
tff(c_5208,plain,
n1 = n0,
inference(demodulation,[status(thm),theory(equality)],[c_498,c_5206]) ).
tff(c_5209,plain,
a_select2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n0,use),n0) != use,
inference(demodulation,[status(thm),theory(equality)],[c_5208,c_4991]) ).
tff(c_5270,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_498,c_5209]) ).
tff(c_5271,plain,
n2 = n0,
inference(splitRight,[status(thm)],[c_4823]) ).
tff(c_5275,plain,
a_select2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n0,use),n0) != use,
inference(demodulation,[status(thm),theory(equality)],[c_5271,c_4514]) ).
tff(c_5350,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_498,c_5275]) ).
tff(c_5351,plain,
n3 = n0,
inference(splitRight,[status(thm)],[c_4233]) ).
tff(c_5354,plain,
a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n0,use),n0) != use,
inference(demodulation,[status(thm),theory(equality)],[c_5351,c_3806]) ).
tff(c_5413,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_498,c_5354]) ).
tff(c_5414,plain,
n4 = n0,
inference(splitRight,[status(thm)],[c_3639]) ).
tff(c_5418,plain,
a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n0,use),n0) != use,
inference(demodulation,[status(thm),theory(equality)],[c_5414,c_3341]) ).
tff(c_5474,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_498,c_5418]) ).
tff(c_5475,plain,
n5 = n0,
inference(splitRight,[status(thm)],[c_3217]) ).
tff(c_28,plain,
! [X_21] : gt(succ(X_21),X_21),
inference(cnfTransformation,[status(thm)],[f_108]) ).
tff(c_526,plain,
gt(n5,n4),
inference(cnfTransformation,[status(thm)],[f_518]) ).
tff(c_2832,plain,
! [X_262,Z_263,Y_264] :
( gt(X_262,Z_263)
| ~ gt(Y_264,Z_263)
| ~ gt(X_262,Y_264) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_3228,plain,
! [X_280] :
( gt(X_280,n4)
| ~ gt(X_280,n5) ),
inference(resolution,[status(thm)],[c_526,c_2832]) ).
tff(c_3248,plain,
gt(succ(n5),n4),
inference(resolution,[status(thm)],[c_28,c_3228]) ).
tff(c_558,plain,
gt(n4,n2),
inference(cnfTransformation,[status(thm)],[f_534]) ).
tff(c_2910,plain,
! [X_262] :
( gt(X_262,n2)
| ~ gt(X_262,n4) ),
inference(resolution,[status(thm)],[c_558,c_2832]) ).
tff(c_3260,plain,
gt(succ(n5),n2),
inference(resolution,[status(thm)],[c_3248,c_2910]) ).
tff(c_20,plain,
! [X_15,Y_16] :
( leq(X_15,Y_16)
| ~ gt(Y_16,X_15) ),
inference(cnfTransformation,[status(thm)],[f_94]) ).
tff(c_1022,plain,
! [X_203,Y_204] :
( geq(X_203,Y_204)
| ~ leq(Y_204,X_203) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_1029,plain,
! [Y_16,X_15] :
( geq(Y_16,X_15)
| ~ gt(Y_16,X_15) ),
inference(resolution,[status(thm)],[c_20,c_1022]) ).
tff(c_3287,plain,
geq(succ(n5),n2),
inference(resolution,[status(thm)],[c_3260,c_1029]) ).
tff(c_5478,plain,
geq(succ(n0),n2),
inference(demodulation,[status(thm),theory(equality)],[c_5475,c_3287]) ).
tff(c_5523,plain,
geq(n1,n2),
inference(demodulation,[status(thm),theory(equality)],[c_584,c_5478]) ).
tff(c_5525,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1572,c_5523]) ).
tff(c_5526,plain,
( ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use ) ),
inference(splitRight,[status(thm)],[c_597]) ).
tff(c_5579,plain,
a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use,
inference(splitLeft,[status(thm)],[c_5526]) ).
tff(c_8474,plain,
( ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n4) != use )
| ( n5 = n4 ) ),
inference(superposition,[status(thm),theory(equality)],[c_8464,c_5579]) ).
tff(c_8490,plain,
n5 = n4,
inference(demodulation,[status(thm),theory(equality)],[c_498,c_8474]) ).
tff(c_582,plain,
succ(succ(succ(succ(succ(n0))))) = n5,
inference(cnfTransformation,[status(thm)],[f_606]) ).
tff(c_591,plain,
succ(succ(n3)) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_589,c_590,c_584,c_582]) ).
tff(c_593,plain,
succ(n4) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_592,c_591]) ).
tff(c_6942,plain,
! [Y_385,X_386] :
( gt(succ(Y_385),X_386)
| ~ leq(X_386,Y_385) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_6992,plain,
! [Y_387] : ~ leq(succ(Y_387),Y_387),
inference(resolution,[status(thm)],[c_6942,c_6]) ).
tff(c_7052,plain,
~ leq(n5,n4),
inference(superposition,[status(thm),theory(equality)],[c_593,c_6992]) ).
tff(c_7099,plain,
~ geq(n4,n5),
inference(resolution,[status(thm)],[c_16,c_7052]) ).
tff(c_8504,plain,
~ geq(n4,n4),
inference(demodulation,[status(thm),theory(equality)],[c_8490,c_7099]) ).
tff(c_8538,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_5566,c_8504]) ).
tff(c_8539,plain,
( ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use ) ),
inference(splitRight,[status(thm)],[c_5526]) ).
tff(c_8786,plain,
a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use,
inference(splitLeft,[status(thm)],[c_8539]) ).
tff(c_11228,plain,
( ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n1) != use )
| ( n5 = n1 ) ),
inference(superposition,[status(thm),theory(equality)],[c_11222,c_8786]) ).
tff(c_12642,plain,
a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n1) != use,
inference(splitLeft,[status(thm)],[c_11228]) ).
tff(c_12911,plain,
( ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n1) != use )
| ( n4 = n1 ) ),
inference(superposition,[status(thm),theory(equality)],[c_500,c_12642]) ).
tff(c_13372,plain,
a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n1) != use,
inference(splitLeft,[status(thm)],[c_12911]) ).
tff(c_14113,plain,
( ( a_select2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n1) != use )
| ( n3 = n1 ) ),
inference(superposition,[status(thm),theory(equality)],[c_500,c_13372]) ).
tff(c_15012,plain,
a_select2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n1) != use,
inference(splitLeft,[status(thm)],[c_14113]) ).
tff(c_15272,plain,
( ( a_select2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n1) != use )
| ( n2 = n1 ) ),
inference(superposition,[status(thm),theory(equality)],[c_500,c_15012]) ).
tff(c_15274,plain,
n2 = n1,
inference(demodulation,[status(thm),theory(equality)],[c_498,c_15272]) ).
tff(c_15275,plain,
a_select2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n1,use),n1) != use,
inference(demodulation,[status(thm),theory(equality)],[c_15274,c_15012]) ).
tff(c_15387,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_498,c_15275]) ).
tff(c_15388,plain,
n3 = n1,
inference(splitRight,[status(thm)],[c_14113]) ).
tff(c_15390,plain,
a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n1,use),n1) != use,
inference(demodulation,[status(thm),theory(equality)],[c_15388,c_13372]) ).
tff(c_15477,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_498,c_15390]) ).
tff(c_15478,plain,
n4 = n1,
inference(splitRight,[status(thm)],[c_12911]) ).
tff(c_15481,plain,
a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n1,use),n1) != use,
inference(demodulation,[status(thm),theory(equality)],[c_15478,c_12642]) ).
tff(c_15553,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_498,c_15481]) ).
tff(c_15554,plain,
n5 = n1,
inference(splitRight,[status(thm)],[c_11228]) ).
tff(c_10610,plain,
! [X_482,Z_483,Y_484] :
( gt(X_482,Z_483)
| ~ gt(Y_484,Z_483)
| ~ gt(X_482,Y_484) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_12423,plain,
! [X_538] :
( gt(X_538,n4)
| ~ gt(X_538,n5) ),
inference(resolution,[status(thm)],[c_526,c_10610]) ).
tff(c_12443,plain,
gt(succ(n5),n4),
inference(resolution,[status(thm)],[c_28,c_12423]) ).
tff(c_5565,plain,
! [Y_16,X_15] :
( geq(Y_16,X_15)
| ~ gt(Y_16,X_15) ),
inference(resolution,[status(thm)],[c_20,c_5558]) ).
tff(c_12474,plain,
geq(succ(n5),n4),
inference(resolution,[status(thm)],[c_12443,c_5565]) ).
tff(c_15557,plain,
geq(succ(n1),n4),
inference(demodulation,[status(thm),theory(equality)],[c_15554,c_12474]) ).
tff(c_15618,plain,
geq(n2,n4),
inference(demodulation,[status(thm),theory(equality)],[c_590,c_15557]) ).
tff(c_15620,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_9865,c_15618]) ).
tff(c_15621,plain,
( ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use ) ),
inference(splitRight,[status(thm)],[c_8539]) ).
tff(c_15675,plain,
a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use,
inference(splitLeft,[status(thm)],[c_15621]) ).
tff(c_18143,plain,
( ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n3) != use )
| ( n5 = n3 ) ),
inference(superposition,[status(thm),theory(equality)],[c_18137,c_15675]) ).
tff(c_20118,plain,
a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n3) != use,
inference(splitLeft,[status(thm)],[c_18143]) ).
tff(c_21231,plain,
( ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n3) != use )
| ( n4 = n3 ) ),
inference(superposition,[status(thm),theory(equality)],[c_500,c_20118]) ).
tff(c_21233,plain,
n4 = n3,
inference(demodulation,[status(thm),theory(equality)],[c_498,c_21231]) ).
tff(c_21234,plain,
a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n3,use),n3) != use,
inference(demodulation,[status(thm),theory(equality)],[c_21233,c_20118]) ).
tff(c_21317,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_498,c_21234]) ).
tff(c_21318,plain,
n5 = n3,
inference(splitRight,[status(thm)],[c_18143]) ).
tff(c_954,plain,
plus(n4,n2) = succ(n5),
inference(superposition,[status(thm),theory(equality)],[c_593,c_915]) ).
tff(c_15954,plain,
! [X_628,Y_629] :
( leq(X_628,succ(Y_629))
| ~ leq(X_628,Y_629) ),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_15740,plain,
! [Y_622,X_623] :
( gt(succ(Y_622),X_623)
| ~ leq(X_623,Y_622) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_15780,plain,
! [Y_622] : ~ leq(succ(Y_622),Y_622),
inference(resolution,[status(thm)],[c_15740,c_6]) ).
tff(c_15958,plain,
! [Y_629] : ~ leq(succ(succ(Y_629)),Y_629),
inference(resolution,[status(thm)],[c_15954,c_15780]) ).
tff(c_16256,plain,
! [Y_638] : ~ leq(plus(Y_638,n2),Y_638),
inference(demodulation,[status(thm),theory(equality)],[c_454,c_15958]) ).
tff(c_16274,plain,
~ leq(succ(n5),n4),
inference(superposition,[status(thm),theory(equality)],[c_954,c_16256]) ).
tff(c_16652,plain,
~ geq(n4,succ(n5)),
inference(resolution,[status(thm)],[c_16,c_16274]) ).
tff(c_21360,plain,
~ geq(n4,succ(n3)),
inference(demodulation,[status(thm),theory(equality)],[c_21318,c_16652]) ).
tff(c_21411,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_5566,c_592,c_21360]) ).
tff(c_21412,plain,
a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use,
inference(splitRight,[status(thm)],[c_15621]) ).
tff(c_23800,plain,
( ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n2) != use )
| ( n5 = n2 ) ),
inference(superposition,[status(thm),theory(equality)],[c_23794,c_21412]) ).
tff(c_26399,plain,
a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n2) != use,
inference(splitLeft,[status(thm)],[c_23800]) ).
tff(c_27937,plain,
( ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n2) != use )
| ( n4 = n2 ) ),
inference(superposition,[status(thm),theory(equality)],[c_500,c_26399]) ).
tff(c_28791,plain,
a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n2) != use,
inference(splitLeft,[status(thm)],[c_27937]) ).
tff(c_30717,plain,
( ( a_select2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n2) != use )
| ( n3 = n2 ) ),
inference(superposition,[status(thm),theory(equality)],[c_500,c_28791]) ).
tff(c_30719,plain,
n3 = n2,
inference(demodulation,[status(thm),theory(equality)],[c_498,c_30717]) ).
tff(c_30720,plain,
a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n2,use),n2) != use,
inference(demodulation,[status(thm),theory(equality)],[c_30719,c_28791]) ).
tff(c_30821,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_498,c_30720]) ).
tff(c_30822,plain,
n4 = n2,
inference(splitRight,[status(thm)],[c_27937]) ).
tff(c_30831,plain,
a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n2,use),n2) != use,
inference(demodulation,[status(thm),theory(equality)],[c_30822,c_26399]) ).
tff(c_30915,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_498,c_30831]) ).
tff(c_30916,plain,
n5 = n2,
inference(splitRight,[status(thm)],[c_23800]) ).
tff(c_23470,plain,
! [X_829,Z_830,Y_831] :
( gt(X_829,Z_830)
| ~ gt(Y_831,Z_830)
| ~ gt(X_829,Y_831) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_25582,plain,
! [X_880] :
( gt(X_880,n4)
| ~ gt(X_880,n5) ),
inference(resolution,[status(thm)],[c_526,c_23470]) ).
tff(c_25602,plain,
gt(succ(n5),n4),
inference(resolution,[status(thm)],[c_28,c_25582]) ).
tff(c_25629,plain,
geq(succ(n5),n4),
inference(resolution,[status(thm)],[c_25602,c_5565]) ).
tff(c_30932,plain,
geq(succ(n2),n4),
inference(demodulation,[status(thm),theory(equality)],[c_30916,c_25629]) ).
tff(c_31006,plain,
geq(n3,n4),
inference(demodulation,[status(thm),theory(equality)],[c_589,c_30932]) ).
tff(c_31008,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_21553,c_31006]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWV103+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.15/0.34 % Computer : n002.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Thu Aug 3 23:00:46 EDT 2023
% 0.15/0.34 % CPUTime :
% 19.33/6.85 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.33/6.86
% 19.33/6.86 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 19.57/6.90
% 19.57/6.90 Inference rules
% 19.57/6.91 ----------------------
% 19.57/6.91 #Ref : 0
% 19.57/6.91 #Sup : 6883
% 19.57/6.91 #Fact : 10
% 19.57/6.91 #Define : 0
% 19.57/6.91 #Split : 31
% 19.57/6.91 #Chain : 0
% 19.57/6.91 #Close : 0
% 19.57/6.91
% 19.57/6.91 Ordering : KBO
% 19.57/6.91
% 19.57/6.91 Simplification rules
% 19.57/6.91 ----------------------
% 19.57/6.91 #Subsume : 1375
% 19.57/6.91 #Demod : 4940
% 19.57/6.91 #Tautology : 1714
% 19.57/6.91 #SimpNegUnit : 165
% 19.57/6.91 #BackRed : 2269
% 19.57/6.91
% 19.57/6.91 #Partial instantiations: 0
% 19.57/6.91 #Strategies tried : 1
% 19.57/6.91
% 19.57/6.91 Timing (in seconds)
% 19.57/6.91 ----------------------
% 19.57/6.91 Preprocessing : 0.95
% 19.57/6.91 Parsing : 0.37
% 19.57/6.91 CNF conversion : 0.07
% 19.57/6.91 Main loop : 4.82
% 19.57/6.91 Inferencing : 1.13
% 19.57/6.91 Reduction : 2.13
% 19.57/6.91 Demodulation : 1.52
% 19.57/6.91 BG Simplification : 0.18
% 19.57/6.91 Subsumption : 1.06
% 19.57/6.91 Abstraction : 0.14
% 19.57/6.91 MUC search : 0.00
% 19.57/6.91 Cooper : 0.00
% 19.57/6.91 Total : 5.85
% 19.57/6.91 Index Insertion : 0.00
% 19.57/6.91 Index Deletion : 0.00
% 19.57/6.91 Index Matching : 0.00
% 19.57/6.91 BG Taut test : 0.00
%------------------------------------------------------------------------------