TSTP Solution File: GRP632+1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP632+1 : TPTP v8.1.2. Released v3.4.0.
% 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 : n013.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 10:41:43 EDT 2023
% Result : Theorem 32.38s 20.91s
% Output : CNFRefutation 32.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 81
% Syntax : Number of formulae : 206 ( 59 unt; 66 typ; 0 def)
% Number of atoms : 357 ( 43 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 379 ( 162 ~; 167 |; 34 &)
% ( 2 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 90 ( 50 >; 40 *; 0 +; 0 <<)
% Number of predicates : 29 ( 27 usr; 1 prp; 0-4 aty)
% Number of functors : 39 ( 39 usr; 16 con; 0-6 aty)
% Number of variables : 151 (; 151 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ m2_fraenkel > v3_funct_2 > v2_funct_2 > v1_partfun1 > v1_funct_2 > m2_relset_1 > m1_relset_1 > m1_fraenkel > r2_hidden > r1_tarski > m1_subset_1 > v8_relat_2 > v4_relat_2 > v4_group_1 > v3_struct_0 > v3_relat_2 > v3_group_1 > v2_group_1 > v2_funct_1 > v1_xboole_0 > v1_relat_2 > v1_relat_1 > v1_group_1 > v1_funct_1 > v1_fraenkel > l1_struct_0 > l1_group_1 > k7_relset_1 > k7_funct_2 > k6_autgroup > k5_relat_1 > k2_zfmisc_1 > g1_group_1 > #nlpp > u1_struct_0 > u1_group_1 > k6_relat_1 > k6_partfun1 > k4_autgroup > k2_group_1 > k1_zfmisc_1 > k1_xboole_0 > #skF_25 > #skF_7 > #skF_6 > #skF_20 > #skF_18 > #skF_11 > #skF_15 > #skF_10 > #skF_16 > #skF_12 > #skF_14 > #skF_19 > #skF_13 > #skF_2 > #skF_3 > #skF_1 > #skF_21 > #skF_23 > #skF_4 > #skF_17 > #skF_22 > #skF_24 > #skF_8 > #skF_9 > #skF_5
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(k6_autgroup,type,
k6_autgroup: ( $i * $i ) > $i ).
tff('#skF_25',type,
'#skF_25': $i > $i ).
tff(v2_group_1,type,
v2_group_1: $i > $o ).
tff('#skF_7',type,
'#skF_7': $i > $i ).
tff(m2_relset_1,type,
m2_relset_1: ( $i * $i * $i ) > $o ).
tff(v3_group_1,type,
v3_group_1: $i > $o ).
tff('#skF_6',type,
'#skF_6': ( $i * $i ) > $i ).
tff(u1_group_1,type,
u1_group_1: $i > $i ).
tff('#skF_20',type,
'#skF_20': $i ).
tff(v1_funct_1,type,
v1_funct_1: $i > $o ).
tff(v2_funct_1,type,
v2_funct_1: $i > $o ).
tff('#skF_18',type,
'#skF_18': $i ).
tff(k4_autgroup,type,
k4_autgroup: $i > $i ).
tff(r2_hidden,type,
r2_hidden: ( $i * $i ) > $o ).
tff('#skF_11',type,
'#skF_11': $i ).
tff('#skF_15',type,
'#skF_15': $i ).
tff(v1_partfun1,type,
v1_partfun1: ( $i * $i * $i ) > $o ).
tff(k7_relset_1,type,
k7_relset_1: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(k1_xboole_0,type,
k1_xboole_0: $i ).
tff(v1_relat_2,type,
v1_relat_2: $i > $o ).
tff(k5_relat_1,type,
k5_relat_1: ( $i * $i ) > $i ).
tff(v8_relat_2,type,
v8_relat_2: $i > $o ).
tff(r1_tarski,type,
r1_tarski: ( $i * $i ) > $o ).
tff('#skF_10',type,
'#skF_10': $i ).
tff(m1_relset_1,type,
m1_relset_1: ( $i * $i * $i ) > $o ).
tff(m1_fraenkel,type,
m1_fraenkel: ( $i * $i * $i ) > $o ).
tff('#skF_16',type,
'#skF_16': $i ).
tff(v4_relat_2,type,
v4_relat_2: $i > $o ).
tff('#skF_12',type,
'#skF_12': ( $i * $i ) > $i ).
tff('#skF_14',type,
'#skF_14': $i ).
tff('#skF_19',type,
'#skF_19': ( $i * $i ) > $i ).
tff(v1_funct_2,type,
v1_funct_2: ( $i * $i * $i ) > $o ).
tff('#skF_13',type,
'#skF_13': $i ).
tff(v1_group_1,type,
v1_group_1: $i > $o ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(k2_group_1,type,
k2_group_1: $i > $i ).
tff(v2_funct_2,type,
v2_funct_2: ( $i * $i * $i ) > $o ).
tff('#skF_21',type,
'#skF_21': $i ).
tff(k1_zfmisc_1,type,
k1_zfmisc_1: $i > $i ).
tff(l1_struct_0,type,
l1_struct_0: $i > $o ).
tff('#skF_23',type,
'#skF_23': $i > $i ).
tff(k6_partfun1,type,
k6_partfun1: $i > $i ).
tff(k7_funct_2,type,
k7_funct_2: ( $i * $i * $i * $i * $i ) > $i ).
tff(v1_relat_1,type,
v1_relat_1: $i > $o ).
tff(k2_zfmisc_1,type,
k2_zfmisc_1: ( $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': $i ).
tff('#skF_17',type,
'#skF_17': $i > $i ).
tff('#skF_22',type,
'#skF_22': $i ).
tff(m2_fraenkel,type,
m2_fraenkel: ( $i * $i * $i * $i ) > $o ).
tff(k6_relat_1,type,
k6_relat_1: $i > $i ).
tff('#skF_24',type,
'#skF_24': $i ).
tff(v4_group_1,type,
v4_group_1: $i > $o ).
tff(v1_fraenkel,type,
v1_fraenkel: $i > $o ).
tff('#skF_8',type,
'#skF_8': ( $i * $i * $i ) > $i ).
tff(v3_funct_2,type,
v3_funct_2: ( $i * $i * $i ) > $o ).
tff(g1_group_1,type,
g1_group_1: ( $i * $i ) > $i ).
tff(u1_struct_0,type,
u1_struct_0: $i > $i ).
tff(v1_xboole_0,type,
v1_xboole_0: $i > $o ).
tff('#skF_9',type,
'#skF_9': ( $i * $i ) > $i ).
tff(l1_group_1,type,
l1_group_1: $i > $o ).
tff('#skF_5',type,
'#skF_5': ( $i * $i ) > $i ).
tff(v3_struct_0,type,
v3_struct_0: $i > $o ).
tff(m1_subset_1,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(v3_relat_2,type,
v3_relat_2: $i > $o ).
tff(f_48,negated_conjecture,
~ ! [A] :
( ( ~ v3_struct_0(A)
& v1_group_1(A)
& v3_group_1(A)
& v4_group_1(A)
& l1_group_1(A) )
=> ! [B] :
( m2_fraenkel(B,u1_struct_0(A),u1_struct_0(A),k4_autgroup(A))
=> ( ( k7_funct_2(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),k6_autgroup(A,k2_group_1(A)),B) = B )
& ( k7_funct_2(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),B,k6_autgroup(A,k2_group_1(A))) = B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t30_autgroup) ).
tff(f_299,axiom,
! [A] :
( l1_group_1(A)
=> l1_struct_0(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_group_1) ).
tff(f_241,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v1_group_1(A)
& v3_group_1(A)
& v4_group_1(A)
& l1_group_1(A) )
=> m1_fraenkel(k4_autgroup(A),u1_struct_0(A),u1_struct_0(A)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_autgroup) ).
tff(f_320,axiom,
! [A,B,C] :
( ( ~ v1_xboole_0(B)
& m1_fraenkel(C,A,B) )
=> ! [D] :
( m2_fraenkel(D,A,B,C)
=> ( v1_funct_1(D)
& v1_funct_2(D,A,B)
& m2_relset_1(D,A,B) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_fraenkel) ).
tff(f_575,axiom,
! [A,B,C] :
( ( ~ v1_xboole_0(B)
& m1_fraenkel(C,A,B) )
=> ! [D] :
( m2_fraenkel(D,A,B,C)
<=> m1_subset_1(D,C) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_fraenkel) ).
tff(f_390,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& l1_struct_0(A) )
=> ~ v1_xboole_0(u1_struct_0(A)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
tff(f_579,axiom,
! [A,B,C] :
( m2_relset_1(C,A,B)
<=> m1_relset_1(C,A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
tff(f_542,axiom,
! [A] : ( k6_partfun1(A) = k6_relat_1(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k6_partfun1) ).
tff(f_407,axiom,
! [A] :
( v1_relat_1(k6_relat_1(A))
& v1_funct_1(k6_relat_1(A))
& v1_relat_2(k6_relat_1(A))
& v3_relat_2(k6_relat_1(A))
& v4_relat_2(k6_relat_1(A))
& v8_relat_2(k6_relat_1(A)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_partfun1) ).
tff(f_266,axiom,
! [A] :
( v1_partfun1(k6_partfun1(A),A,A)
& m2_relset_1(k6_partfun1(A),A,A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_partfun1) ).
tff(f_82,axiom,
! [A,B,C] :
( m1_relset_1(C,A,B)
=> ( ( v1_funct_1(C)
& v1_partfun1(C,A,B) )
=> ( v1_funct_1(C)
& v1_funct_2(C,A,B) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_funct_2) ).
tff(f_559,axiom,
! [A,B,C,D,E] :
( ( ~ v1_xboole_0(B)
& v1_funct_1(D)
& v1_funct_2(D,A,B)
& m1_relset_1(D,A,B)
& v1_funct_1(E)
& v1_funct_2(E,B,C)
& m1_relset_1(E,B,C) )
=> ( k7_funct_2(A,B,C,D,E) = k5_relat_1(D,E) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k7_funct_2) ).
tff(f_604,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v1_group_1(A)
& v3_group_1(A)
& v4_group_1(A)
& l1_group_1(A) )
=> ( k6_autgroup(A,k2_group_1(A)) = k6_partfun1(u1_struct_0(A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t24_autgroup) ).
tff(f_565,axiom,
! [A,B,C,D,E,F] :
( ( m1_relset_1(E,A,B)
& m1_relset_1(F,C,D) )
=> ( k7_relset_1(A,B,C,D,E,F) = k5_relat_1(E,F) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k7_relset_1) ).
tff(f_591,axiom,
! [A,B,C] :
( m2_relset_1(C,A,B)
=> ( ( k7_relset_1(A,A,A,B,k6_partfun1(A),C) = C )
& ( k7_relset_1(A,B,B,B,C,k6_partfun1(B)) = C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_funct_2) ).
tff(c_6,plain,
l1_group_1('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_116,plain,
! [A_55] :
( l1_struct_0(A_55)
| ~ l1_group_1(A_55) ),
inference(cnfTransformation,[status(thm)],[f_299]) ).
tff(c_14,plain,
~ v3_struct_0('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_12,plain,
v1_group_1('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_10,plain,
v3_group_1('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_8,plain,
v4_group_1('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_4950,plain,
! [A_1037] :
( m1_fraenkel(k4_autgroup(A_1037),u1_struct_0(A_1037),u1_struct_0(A_1037))
| ~ l1_group_1(A_1037)
| ~ v4_group_1(A_1037)
| ~ v3_group_1(A_1037)
| ~ v1_group_1(A_1037)
| v3_struct_0(A_1037) ),
inference(cnfTransformation,[status(thm)],[f_241]) ).
tff(c_4,plain,
m2_fraenkel('#skF_2',u1_struct_0('#skF_1'),u1_struct_0('#skF_1'),k4_autgroup('#skF_1')),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_4302,plain,
! [D_929,A_930,B_931,C_932] :
( v1_funct_1(D_929)
| ~ m2_fraenkel(D_929,A_930,B_931,C_932)
| ~ m1_fraenkel(C_932,A_930,B_931)
| v1_xboole_0(B_931) ),
inference(cnfTransformation,[status(thm)],[f_320]) ).
tff(c_4306,plain,
( v1_funct_1('#skF_2')
| ~ m1_fraenkel(k4_autgroup('#skF_1'),u1_struct_0('#skF_1'),u1_struct_0('#skF_1'))
| v1_xboole_0(u1_struct_0('#skF_1')) ),
inference(resolution,[status(thm)],[c_4,c_4302]) ).
tff(c_4438,plain,
~ m1_fraenkel(k4_autgroup('#skF_1'),u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),
inference(splitLeft,[status(thm)],[c_4306]) ).
tff(c_4955,plain,
( ~ l1_group_1('#skF_1')
| ~ v4_group_1('#skF_1')
| ~ v3_group_1('#skF_1')
| ~ v1_group_1('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_4950,c_4438]) ).
tff(c_4965,plain,
v3_struct_0('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_10,c_8,c_6,c_4955]) ).
tff(c_4967,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14,c_4965]) ).
tff(c_4969,plain,
m1_fraenkel(k4_autgroup('#skF_1'),u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),
inference(splitRight,[status(thm)],[c_4306]) ).
tff(c_5127,plain,
! [D_1047,C_1048,A_1049,B_1050] :
( m1_subset_1(D_1047,C_1048)
| ~ m2_fraenkel(D_1047,A_1049,B_1050,C_1048)
| ~ m1_fraenkel(C_1048,A_1049,B_1050)
| v1_xboole_0(B_1050) ),
inference(cnfTransformation,[status(thm)],[f_575]) ).
tff(c_5130,plain,
( m1_subset_1('#skF_2',k4_autgroup('#skF_1'))
| ~ m1_fraenkel(k4_autgroup('#skF_1'),u1_struct_0('#skF_1'),u1_struct_0('#skF_1'))
| v1_xboole_0(u1_struct_0('#skF_1')) ),
inference(resolution,[status(thm)],[c_4,c_5127]) ).
tff(c_5133,plain,
( m1_subset_1('#skF_2',k4_autgroup('#skF_1'))
| v1_xboole_0(u1_struct_0('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_4969,c_5130]) ).
tff(c_5134,plain,
v1_xboole_0(u1_struct_0('#skF_1')),
inference(splitLeft,[status(thm)],[c_5133]) ).
tff(c_166,plain,
! [A_87] :
( ~ v1_xboole_0(u1_struct_0(A_87))
| ~ l1_struct_0(A_87)
| v3_struct_0(A_87) ),
inference(cnfTransformation,[status(thm)],[f_390]) ).
tff(c_5139,plain,
( ~ l1_struct_0('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_5134,c_166]) ).
tff(c_5151,plain,
~ l1_struct_0('#skF_1'),
inference(negUnitSimplification,[status(thm)],[c_14,c_5139]) ).
tff(c_5157,plain,
~ l1_group_1('#skF_1'),
inference(resolution,[status(thm)],[c_116,c_5151]) ).
tff(c_5161,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_6,c_5157]) ).
tff(c_5163,plain,
~ v1_xboole_0(u1_struct_0('#skF_1')),
inference(splitRight,[status(thm)],[c_5133]) ).
tff(c_4968,plain,
( v1_xboole_0(u1_struct_0('#skF_1'))
| v1_funct_1('#skF_2') ),
inference(splitRight,[status(thm)],[c_4306]) ).
tff(c_4970,plain,
v1_funct_1('#skF_2'),
inference(splitLeft,[status(thm)],[c_4968]) ).
tff(c_5322,plain,
! [D_1083,A_1084,B_1085,C_1086] :
( v1_funct_2(D_1083,A_1084,B_1085)
| ~ m2_fraenkel(D_1083,A_1084,B_1085,C_1086)
| ~ m1_fraenkel(C_1086,A_1084,B_1085)
| v1_xboole_0(B_1085) ),
inference(cnfTransformation,[status(thm)],[f_320]) ).
tff(c_5331,plain,
( v1_funct_2('#skF_2',u1_struct_0('#skF_1'),u1_struct_0('#skF_1'))
| ~ m1_fraenkel(k4_autgroup('#skF_1'),u1_struct_0('#skF_1'),u1_struct_0('#skF_1'))
| v1_xboole_0(u1_struct_0('#skF_1')) ),
inference(resolution,[status(thm)],[c_4,c_5322]) ).
tff(c_5336,plain,
( v1_funct_2('#skF_2',u1_struct_0('#skF_1'),u1_struct_0('#skF_1'))
| v1_xboole_0(u1_struct_0('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_4969,c_5331]) ).
tff(c_5337,plain,
v1_funct_2('#skF_2',u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_5163,c_5336]) ).
tff(c_5291,plain,
! [D_1079,A_1080,B_1081,C_1082] :
( m2_relset_1(D_1079,A_1080,B_1081)
| ~ m2_fraenkel(D_1079,A_1080,B_1081,C_1082)
| ~ m1_fraenkel(C_1082,A_1080,B_1081)
| v1_xboole_0(B_1081) ),
inference(cnfTransformation,[status(thm)],[f_320]) ).
tff(c_5300,plain,
( m2_relset_1('#skF_2',u1_struct_0('#skF_1'),u1_struct_0('#skF_1'))
| ~ m1_fraenkel(k4_autgroup('#skF_1'),u1_struct_0('#skF_1'),u1_struct_0('#skF_1'))
| v1_xboole_0(u1_struct_0('#skF_1')) ),
inference(resolution,[status(thm)],[c_4,c_5291]) ).
tff(c_5305,plain,
( m2_relset_1('#skF_2',u1_struct_0('#skF_1'),u1_struct_0('#skF_1'))
| v1_xboole_0(u1_struct_0('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_4969,c_5300]) ).
tff(c_5306,plain,
m2_relset_1('#skF_2',u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_5163,c_5305]) ).
tff(c_304,plain,
! [C_127,A_125,B_126] :
( m1_relset_1(C_127,A_125,B_126)
| ~ m2_relset_1(C_127,A_125,B_126) ),
inference(cnfTransformation,[status(thm)],[f_579]) ).
tff(c_5315,plain,
m1_relset_1('#skF_2',u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),
inference(resolution,[status(thm)],[c_5306,c_304]) ).
tff(c_294,plain,
! [A_108] : ( k6_relat_1(A_108) = k6_partfun1(A_108) ),
inference(cnfTransformation,[status(thm)],[f_542]) ).
tff(c_176,plain,
! [A_89] : v1_funct_1(k6_relat_1(A_89)),
inference(cnfTransformation,[status(thm)],[f_407]) ).
tff(c_337,plain,
! [A_89] : v1_funct_1(k6_partfun1(A_89)),
inference(demodulation,[status(thm),theory(equality)],[c_294,c_176]) ).
tff(c_104,plain,
! [A_42] : m2_relset_1(k6_partfun1(A_42),A_42,A_42),
inference(cnfTransformation,[status(thm)],[f_266]) ).
tff(c_4059,plain,
! [C_851,A_852,B_853] :
( m1_relset_1(C_851,A_852,B_853)
| ~ m2_relset_1(C_851,A_852,B_853) ),
inference(cnfTransformation,[status(thm)],[f_579]) ).
tff(c_4071,plain,
! [A_42] : m1_relset_1(k6_partfun1(A_42),A_42,A_42),
inference(resolution,[status(thm)],[c_104,c_4059]) ).
tff(c_102,plain,
! [A_42] : v1_partfun1(k6_partfun1(A_42),A_42,A_42),
inference(cnfTransformation,[status(thm)],[f_266]) ).
tff(c_5181,plain,
! [C_1051,A_1052,B_1053] :
( v1_funct_2(C_1051,A_1052,B_1053)
| ~ v1_partfun1(C_1051,A_1052,B_1053)
| ~ v1_funct_1(C_1051)
| ~ m1_relset_1(C_1051,A_1052,B_1053) ),
inference(cnfTransformation,[status(thm)],[f_82]) ).
tff(c_5187,plain,
! [A_42] :
( v1_funct_2(k6_partfun1(A_42),A_42,A_42)
| ~ v1_funct_1(k6_partfun1(A_42))
| ~ m1_relset_1(k6_partfun1(A_42),A_42,A_42) ),
inference(resolution,[status(thm)],[c_102,c_5181]) ).
tff(c_5193,plain,
! [A_42] : v1_funct_2(k6_partfun1(A_42),A_42,A_42),
inference(demodulation,[status(thm),theory(equality)],[c_4071,c_337,c_5187]) ).
tff(c_6885,plain,
! [A_1350,D_1351,E_1349,B_1352,C_1353] :
( ( k7_funct_2(A_1350,B_1352,C_1353,D_1351,E_1349) = k5_relat_1(D_1351,E_1349) )
| ~ m1_relset_1(E_1349,B_1352,C_1353)
| ~ v1_funct_2(E_1349,B_1352,C_1353)
| ~ v1_funct_1(E_1349)
| ~ m1_relset_1(D_1351,A_1350,B_1352)
| ~ v1_funct_2(D_1351,A_1350,B_1352)
| ~ v1_funct_1(D_1351)
| v1_xboole_0(B_1352) ),
inference(cnfTransformation,[status(thm)],[f_559]) ).
tff(c_6897,plain,
! [A_1350,A_42,D_1351] :
( ( k7_funct_2(A_1350,A_42,A_42,D_1351,k6_partfun1(A_42)) = k5_relat_1(D_1351,k6_partfun1(A_42)) )
| ~ m1_relset_1(k6_partfun1(A_42),A_42,A_42)
| ~ v1_funct_1(k6_partfun1(A_42))
| ~ m1_relset_1(D_1351,A_1350,A_42)
| ~ v1_funct_2(D_1351,A_1350,A_42)
| ~ v1_funct_1(D_1351)
| v1_xboole_0(A_42) ),
inference(resolution,[status(thm)],[c_5193,c_6885]) ).
tff(c_23528,plain,
! [A_3286,A_3287,D_3288] :
( ( k7_funct_2(A_3286,A_3287,A_3287,D_3288,k6_partfun1(A_3287)) = k5_relat_1(D_3288,k6_partfun1(A_3287)) )
| ~ m1_relset_1(D_3288,A_3286,A_3287)
| ~ v1_funct_2(D_3288,A_3286,A_3287)
| ~ v1_funct_1(D_3288)
| v1_xboole_0(A_3287) ),
inference(demodulation,[status(thm),theory(equality)],[c_337,c_4071,c_6897]) ).
tff(c_5518,plain,
! [A_1116] :
( ( k6_autgroup(A_1116,k2_group_1(A_1116)) = k6_partfun1(u1_struct_0(A_1116)) )
| ~ l1_group_1(A_1116)
| ~ v4_group_1(A_1116)
| ~ v3_group_1(A_1116)
| ~ v1_group_1(A_1116)
| v3_struct_0(A_1116) ),
inference(cnfTransformation,[status(thm)],[f_604]) ).
tff(c_547,plain,
! [C_240,A_241,B_242] :
( m1_relset_1(C_240,A_241,B_242)
| ~ m2_relset_1(C_240,A_241,B_242) ),
inference(cnfTransformation,[status(thm)],[f_579]) ).
tff(c_559,plain,
! [A_42] : m1_relset_1(k6_partfun1(A_42),A_42,A_42),
inference(resolution,[status(thm)],[c_104,c_547]) ).
tff(c_1842,plain,
! [C_459,A_460,B_461] :
( v1_funct_2(C_459,A_460,B_461)
| ~ v1_partfun1(C_459,A_460,B_461)
| ~ v1_funct_1(C_459)
| ~ m1_relset_1(C_459,A_460,B_461) ),
inference(cnfTransformation,[status(thm)],[f_82]) ).
tff(c_1845,plain,
! [A_42] :
( v1_funct_2(k6_partfun1(A_42),A_42,A_42)
| ~ v1_funct_1(k6_partfun1(A_42))
| ~ m1_relset_1(k6_partfun1(A_42),A_42,A_42) ),
inference(resolution,[status(thm)],[c_102,c_1842]) ).
tff(c_1851,plain,
! [A_42] : v1_funct_2(k6_partfun1(A_42),A_42,A_42),
inference(demodulation,[status(thm),theory(equality)],[c_559,c_337,c_1845]) ).
tff(c_1499,plain,
! [A_432] :
( m1_fraenkel(k4_autgroup(A_432),u1_struct_0(A_432),u1_struct_0(A_432))
| ~ l1_group_1(A_432)
| ~ v4_group_1(A_432)
| ~ v3_group_1(A_432)
| ~ v1_group_1(A_432)
| v3_struct_0(A_432) ),
inference(cnfTransformation,[status(thm)],[f_241]) ).
tff(c_825,plain,
! [D_327,A_328,B_329,C_330] :
( v1_funct_1(D_327)
| ~ m2_fraenkel(D_327,A_328,B_329,C_330)
| ~ m1_fraenkel(C_330,A_328,B_329)
| v1_xboole_0(B_329) ),
inference(cnfTransformation,[status(thm)],[f_320]) ).
tff(c_829,plain,
( v1_funct_1('#skF_2')
| ~ m1_fraenkel(k4_autgroup('#skF_1'),u1_struct_0('#skF_1'),u1_struct_0('#skF_1'))
| v1_xboole_0(u1_struct_0('#skF_1')) ),
inference(resolution,[status(thm)],[c_4,c_825]) ).
tff(c_897,plain,
~ m1_fraenkel(k4_autgroup('#skF_1'),u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),
inference(splitLeft,[status(thm)],[c_829]) ).
tff(c_1504,plain,
( ~ l1_group_1('#skF_1')
| ~ v4_group_1('#skF_1')
| ~ v3_group_1('#skF_1')
| ~ v1_group_1('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_1499,c_897]) ).
tff(c_1514,plain,
v3_struct_0('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_10,c_8,c_6,c_1504]) ).
tff(c_1516,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14,c_1514]) ).
tff(c_1518,plain,
m1_fraenkel(k4_autgroup('#skF_1'),u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),
inference(splitRight,[status(thm)],[c_829]) ).
tff(c_1787,plain,
! [D_455,C_456,A_457,B_458] :
( m1_subset_1(D_455,C_456)
| ~ m2_fraenkel(D_455,A_457,B_458,C_456)
| ~ m1_fraenkel(C_456,A_457,B_458)
| v1_xboole_0(B_458) ),
inference(cnfTransformation,[status(thm)],[f_575]) ).
tff(c_1790,plain,
( m1_subset_1('#skF_2',k4_autgroup('#skF_1'))
| ~ m1_fraenkel(k4_autgroup('#skF_1'),u1_struct_0('#skF_1'),u1_struct_0('#skF_1'))
| v1_xboole_0(u1_struct_0('#skF_1')) ),
inference(resolution,[status(thm)],[c_4,c_1787]) ).
tff(c_1793,plain,
( m1_subset_1('#skF_2',k4_autgroup('#skF_1'))
| v1_xboole_0(u1_struct_0('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_1518,c_1790]) ).
tff(c_1794,plain,
v1_xboole_0(u1_struct_0('#skF_1')),
inference(splitLeft,[status(thm)],[c_1793]) ).
tff(c_1799,plain,
( ~ l1_struct_0('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_1794,c_166]) ).
tff(c_1811,plain,
~ l1_struct_0('#skF_1'),
inference(negUnitSimplification,[status(thm)],[c_14,c_1799]) ).
tff(c_1817,plain,
~ l1_group_1('#skF_1'),
inference(resolution,[status(thm)],[c_116,c_1811]) ).
tff(c_1821,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_6,c_1817]) ).
tff(c_1823,plain,
~ v1_xboole_0(u1_struct_0('#skF_1')),
inference(splitRight,[status(thm)],[c_1793]) ).
tff(c_1970,plain,
! [D_493,A_494,B_495,C_496] :
( m2_relset_1(D_493,A_494,B_495)
| ~ m2_fraenkel(D_493,A_494,B_495,C_496)
| ~ m1_fraenkel(C_496,A_494,B_495)
| v1_xboole_0(B_495) ),
inference(cnfTransformation,[status(thm)],[f_320]) ).
tff(c_1979,plain,
( m2_relset_1('#skF_2',u1_struct_0('#skF_1'),u1_struct_0('#skF_1'))
| ~ m1_fraenkel(k4_autgroup('#skF_1'),u1_struct_0('#skF_1'),u1_struct_0('#skF_1'))
| v1_xboole_0(u1_struct_0('#skF_1')) ),
inference(resolution,[status(thm)],[c_4,c_1970]) ).
tff(c_1984,plain,
( m2_relset_1('#skF_2',u1_struct_0('#skF_1'),u1_struct_0('#skF_1'))
| v1_xboole_0(u1_struct_0('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_1518,c_1979]) ).
tff(c_1985,plain,
m2_relset_1('#skF_2',u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_1823,c_1984]) ).
tff(c_1994,plain,
m1_relset_1('#skF_2',u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),
inference(resolution,[status(thm)],[c_1985,c_304]) ).
tff(c_2476,plain,
! [A_599,D_600,F_601,C_596,E_598,B_597] :
( ( k7_relset_1(A_599,B_597,C_596,D_600,E_598,F_601) = k5_relat_1(E_598,F_601) )
| ~ m1_relset_1(F_601,C_596,D_600)
| ~ m1_relset_1(E_598,A_599,B_597) ),
inference(cnfTransformation,[status(thm)],[f_565]) ).
tff(c_2605,plain,
! [A_612,B_613,E_614] :
( ( k7_relset_1(A_612,B_613,u1_struct_0('#skF_1'),u1_struct_0('#skF_1'),E_614,'#skF_2') = k5_relat_1(E_614,'#skF_2') )
| ~ m1_relset_1(E_614,A_612,B_613) ),
inference(resolution,[status(thm)],[c_1994,c_2476]) ).
tff(c_314,plain,
! [A_132,B_133,C_134] :
( ( k7_relset_1(A_132,A_132,A_132,B_133,k6_partfun1(A_132),C_134) = C_134 )
| ~ m2_relset_1(C_134,A_132,B_133) ),
inference(cnfTransformation,[status(thm)],[f_591]) ).
tff(c_2615,plain,
( ( k5_relat_1(k6_partfun1(u1_struct_0('#skF_1')),'#skF_2') = '#skF_2' )
| ~ m2_relset_1('#skF_2',u1_struct_0('#skF_1'),u1_struct_0('#skF_1'))
| ~ m1_relset_1(k6_partfun1(u1_struct_0('#skF_1')),u1_struct_0('#skF_1'),u1_struct_0('#skF_1')) ),
inference(superposition,[status(thm),theory(equality)],[c_2605,c_314]) ).
tff(c_2627,plain,
k5_relat_1(k6_partfun1(u1_struct_0('#skF_1')),'#skF_2') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_559,c_1985,c_2615]) ).
tff(c_1517,plain,
( v1_xboole_0(u1_struct_0('#skF_1'))
| v1_funct_1('#skF_2') ),
inference(splitRight,[status(thm)],[c_829]) ).
tff(c_1519,plain,
v1_funct_1('#skF_2'),
inference(splitLeft,[status(thm)],[c_1517]) ).
tff(c_1915,plain,
! [D_484,A_485,B_486,C_487] :
( v1_funct_2(D_484,A_485,B_486)
| ~ m2_fraenkel(D_484,A_485,B_486,C_487)
| ~ m1_fraenkel(C_487,A_485,B_486)
| v1_xboole_0(B_486) ),
inference(cnfTransformation,[status(thm)],[f_320]) ).
tff(c_1924,plain,
( v1_funct_2('#skF_2',u1_struct_0('#skF_1'),u1_struct_0('#skF_1'))
| ~ m1_fraenkel(k4_autgroup('#skF_1'),u1_struct_0('#skF_1'),u1_struct_0('#skF_1'))
| v1_xboole_0(u1_struct_0('#skF_1')) ),
inference(resolution,[status(thm)],[c_4,c_1915]) ).
tff(c_1929,plain,
( v1_funct_2('#skF_2',u1_struct_0('#skF_1'),u1_struct_0('#skF_1'))
| v1_xboole_0(u1_struct_0('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_1518,c_1924]) ).
tff(c_1930,plain,
v1_funct_2('#skF_2',u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_1823,c_1929]) ).
tff(c_3681,plain,
! [B_747,D_746,C_748,A_745,E_744] :
( ( k7_funct_2(A_745,B_747,C_748,D_746,E_744) = k5_relat_1(D_746,E_744) )
| ~ m1_relset_1(E_744,B_747,C_748)
| ~ v1_funct_2(E_744,B_747,C_748)
| ~ v1_funct_1(E_744)
| ~ m1_relset_1(D_746,A_745,B_747)
| ~ v1_funct_2(D_746,A_745,B_747)
| ~ v1_funct_1(D_746)
| v1_xboole_0(B_747) ),
inference(cnfTransformation,[status(thm)],[f_559]) ).
tff(c_3689,plain,
! [A_745,D_746] :
( ( k7_funct_2(A_745,u1_struct_0('#skF_1'),u1_struct_0('#skF_1'),D_746,'#skF_2') = k5_relat_1(D_746,'#skF_2') )
| ~ m1_relset_1('#skF_2',u1_struct_0('#skF_1'),u1_struct_0('#skF_1'))
| ~ v1_funct_1('#skF_2')
| ~ m1_relset_1(D_746,A_745,u1_struct_0('#skF_1'))
| ~ v1_funct_2(D_746,A_745,u1_struct_0('#skF_1'))
| ~ v1_funct_1(D_746)
| v1_xboole_0(u1_struct_0('#skF_1')) ),
inference(resolution,[status(thm)],[c_1930,c_3681]) ).
tff(c_3705,plain,
! [A_745,D_746] :
( ( k7_funct_2(A_745,u1_struct_0('#skF_1'),u1_struct_0('#skF_1'),D_746,'#skF_2') = k5_relat_1(D_746,'#skF_2') )
| ~ m1_relset_1(D_746,A_745,u1_struct_0('#skF_1'))
| ~ v1_funct_2(D_746,A_745,u1_struct_0('#skF_1'))
| ~ v1_funct_1(D_746)
| v1_xboole_0(u1_struct_0('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_1519,c_1994,c_3689]) ).
tff(c_3753,plain,
! [A_751,D_752] :
( ( k7_funct_2(A_751,u1_struct_0('#skF_1'),u1_struct_0('#skF_1'),D_752,'#skF_2') = k5_relat_1(D_752,'#skF_2') )
| ~ m1_relset_1(D_752,A_751,u1_struct_0('#skF_1'))
| ~ v1_funct_2(D_752,A_751,u1_struct_0('#skF_1'))
| ~ v1_funct_1(D_752) ),
inference(negUnitSimplification,[status(thm)],[c_1823,c_3705]) ).
tff(c_2162,plain,
! [A_527] :
( ( k6_autgroup(A_527,k2_group_1(A_527)) = k6_partfun1(u1_struct_0(A_527)) )
| ~ l1_group_1(A_527)
| ~ v4_group_1(A_527)
| ~ v3_group_1(A_527)
| ~ v1_group_1(A_527)
| v3_struct_0(A_527) ),
inference(cnfTransformation,[status(thm)],[f_604]) ).
tff(c_2,plain,
( ( k7_funct_2(u1_struct_0('#skF_1'),u1_struct_0('#skF_1'),u1_struct_0('#skF_1'),'#skF_2',k6_autgroup('#skF_1',k2_group_1('#skF_1'))) != '#skF_2' )
| ( k7_funct_2(u1_struct_0('#skF_1'),u1_struct_0('#skF_1'),u1_struct_0('#skF_1'),k6_autgroup('#skF_1',k2_group_1('#skF_1')),'#skF_2') != '#skF_2' ) ),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_342,plain,
k7_funct_2(u1_struct_0('#skF_1'),u1_struct_0('#skF_1'),u1_struct_0('#skF_1'),k6_autgroup('#skF_1',k2_group_1('#skF_1')),'#skF_2') != '#skF_2',
inference(splitLeft,[status(thm)],[c_2]) ).
tff(c_2168,plain,
( ( k7_funct_2(u1_struct_0('#skF_1'),u1_struct_0('#skF_1'),u1_struct_0('#skF_1'),k6_partfun1(u1_struct_0('#skF_1')),'#skF_2') != '#skF_2' )
| ~ l1_group_1('#skF_1')
| ~ v4_group_1('#skF_1')
| ~ v3_group_1('#skF_1')
| ~ v1_group_1('#skF_1')
| v3_struct_0('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_2162,c_342]) ).
tff(c_2174,plain,
( ( k7_funct_2(u1_struct_0('#skF_1'),u1_struct_0('#skF_1'),u1_struct_0('#skF_1'),k6_partfun1(u1_struct_0('#skF_1')),'#skF_2') != '#skF_2' )
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_10,c_8,c_6,c_2168]) ).
tff(c_2175,plain,
k7_funct_2(u1_struct_0('#skF_1'),u1_struct_0('#skF_1'),u1_struct_0('#skF_1'),k6_partfun1(u1_struct_0('#skF_1')),'#skF_2') != '#skF_2',
inference(negUnitSimplification,[status(thm)],[c_14,c_2174]) ).
tff(c_3768,plain,
( ( k5_relat_1(k6_partfun1(u1_struct_0('#skF_1')),'#skF_2') != '#skF_2' )
| ~ m1_relset_1(k6_partfun1(u1_struct_0('#skF_1')),u1_struct_0('#skF_1'),u1_struct_0('#skF_1'))
| ~ v1_funct_2(k6_partfun1(u1_struct_0('#skF_1')),u1_struct_0('#skF_1'),u1_struct_0('#skF_1'))
| ~ v1_funct_1(k6_partfun1(u1_struct_0('#skF_1'))) ),
inference(superposition,[status(thm),theory(equality)],[c_3753,c_2175]) ).
tff(c_3787,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_337,c_1851,c_559,c_2627,c_3768]) ).
tff(c_3788,plain,
v1_xboole_0(u1_struct_0('#skF_1')),
inference(splitRight,[status(thm)],[c_1517]) ).
tff(c_3792,plain,
( ~ l1_struct_0('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_3788,c_166]) ).
tff(c_3803,plain,
~ l1_struct_0('#skF_1'),
inference(negUnitSimplification,[status(thm)],[c_14,c_3792]) ).
tff(c_3809,plain,
~ l1_group_1('#skF_1'),
inference(resolution,[status(thm)],[c_116,c_3803]) ).
tff(c_3813,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_6,c_3809]) ).
tff(c_3814,plain,
k7_funct_2(u1_struct_0('#skF_1'),u1_struct_0('#skF_1'),u1_struct_0('#skF_1'),'#skF_2',k6_autgroup('#skF_1',k2_group_1('#skF_1'))) != '#skF_2',
inference(splitRight,[status(thm)],[c_2]) ).
tff(c_5524,plain,
( ( k7_funct_2(u1_struct_0('#skF_1'),u1_struct_0('#skF_1'),u1_struct_0('#skF_1'),'#skF_2',k6_partfun1(u1_struct_0('#skF_1'))) != '#skF_2' )
| ~ l1_group_1('#skF_1')
| ~ v4_group_1('#skF_1')
| ~ v3_group_1('#skF_1')
| ~ v1_group_1('#skF_1')
| v3_struct_0('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_5518,c_3814]) ).
tff(c_5533,plain,
( ( k7_funct_2(u1_struct_0('#skF_1'),u1_struct_0('#skF_1'),u1_struct_0('#skF_1'),'#skF_2',k6_partfun1(u1_struct_0('#skF_1'))) != '#skF_2' )
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_10,c_8,c_6,c_5524]) ).
tff(c_5534,plain,
k7_funct_2(u1_struct_0('#skF_1'),u1_struct_0('#skF_1'),u1_struct_0('#skF_1'),'#skF_2',k6_partfun1(u1_struct_0('#skF_1'))) != '#skF_2',
inference(negUnitSimplification,[status(thm)],[c_14,c_5533]) ).
tff(c_23563,plain,
( ( k5_relat_1('#skF_2',k6_partfun1(u1_struct_0('#skF_1'))) != '#skF_2' )
| ~ m1_relset_1('#skF_2',u1_struct_0('#skF_1'),u1_struct_0('#skF_1'))
| ~ v1_funct_2('#skF_2',u1_struct_0('#skF_1'),u1_struct_0('#skF_1'))
| ~ v1_funct_1('#skF_2')
| v1_xboole_0(u1_struct_0('#skF_1')) ),
inference(superposition,[status(thm),theory(equality)],[c_23528,c_5534]) ).
tff(c_23587,plain,
( ( k5_relat_1('#skF_2',k6_partfun1(u1_struct_0('#skF_1'))) != '#skF_2' )
| v1_xboole_0(u1_struct_0('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_4970,c_5337,c_5315,c_23563]) ).
tff(c_23588,plain,
k5_relat_1('#skF_2',k6_partfun1(u1_struct_0('#skF_1'))) != '#skF_2',
inference(negUnitSimplification,[status(thm)],[c_5163,c_23587]) ).
tff(c_312,plain,
! [A_132,B_133,C_134] :
( ( k7_relset_1(A_132,B_133,B_133,B_133,C_134,k6_partfun1(B_133)) = C_134 )
| ~ m2_relset_1(C_134,A_132,B_133) ),
inference(cnfTransformation,[status(thm)],[f_591]) ).
tff(c_5674,plain,
! [E_1147,B_1146,A_1148,D_1149,F_1150,C_1145] :
( ( k7_relset_1(A_1148,B_1146,C_1145,D_1149,E_1147,F_1150) = k5_relat_1(E_1147,F_1150) )
| ~ m1_relset_1(F_1150,C_1145,D_1149)
| ~ m1_relset_1(E_1147,A_1148,B_1146) ),
inference(cnfTransformation,[status(thm)],[f_565]) ).
tff(c_20278,plain,
! [A_2712,B_2713,A_2714,E_2715] :
( ( k7_relset_1(A_2712,B_2713,A_2714,A_2714,E_2715,k6_partfun1(A_2714)) = k5_relat_1(E_2715,k6_partfun1(A_2714)) )
| ~ m1_relset_1(E_2715,A_2712,B_2713) ),
inference(resolution,[status(thm)],[c_4071,c_5674]) ).
tff(c_31405,plain,
! [C_4553,B_4554,A_4555] :
( ( k5_relat_1(C_4553,k6_partfun1(B_4554)) = C_4553 )
| ~ m1_relset_1(C_4553,A_4555,B_4554)
| ~ m2_relset_1(C_4553,A_4555,B_4554) ),
inference(superposition,[status(thm),theory(equality)],[c_312,c_20278]) ).
tff(c_31755,plain,
( ( k5_relat_1('#skF_2',k6_partfun1(u1_struct_0('#skF_1'))) = '#skF_2' )
| ~ m1_relset_1('#skF_2',u1_struct_0('#skF_1'),u1_struct_0('#skF_1')) ),
inference(resolution,[status(thm)],[c_5306,c_31405]) ).
tff(c_32252,plain,
k5_relat_1('#skF_2',k6_partfun1(u1_struct_0('#skF_1'))) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_5315,c_31755]) ).
tff(c_32254,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_23588,c_32252]) ).
tff(c_32255,plain,
v1_xboole_0(u1_struct_0('#skF_1')),
inference(splitRight,[status(thm)],[c_4968]) ).
tff(c_32259,plain,
( ~ l1_struct_0('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_32255,c_166]) ).
tff(c_32270,plain,
~ l1_struct_0('#skF_1'),
inference(negUnitSimplification,[status(thm)],[c_14,c_32259]) ).
tff(c_32276,plain,
~ l1_group_1('#skF_1'),
inference(resolution,[status(thm)],[c_116,c_32270]) ).
tff(c_32280,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_6,c_32276]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : GRP632+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.15 % 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
% 0.16/0.36 % Computer : n013.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Thu Aug 3 22:05:02 EDT 2023
% 0.16/0.37 % CPUTime :
% 32.38/20.91 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 32.38/20.93
% 32.38/20.93 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 32.63/20.97
% 32.63/20.97 Inference rules
% 32.63/20.97 ----------------------
% 32.63/20.97 #Ref : 8
% 32.63/20.97 #Sup : 8345
% 32.63/20.97 #Fact : 0
% 32.63/20.97 #Define : 0
% 32.63/20.97 #Split : 53
% 32.63/20.97 #Chain : 0
% 32.63/20.97 #Close : 0
% 32.63/20.97
% 32.63/20.97 Ordering : KBO
% 32.63/20.97
% 32.63/20.97 Simplification rules
% 32.63/20.97 ----------------------
% 32.63/20.97 #Subsume : 572
% 32.63/20.97 #Demod : 3337
% 32.63/20.97 #Tautology : 1208
% 32.63/20.97 #SimpNegUnit : 419
% 32.63/20.97 #BackRed : 44
% 32.63/20.97
% 32.63/20.97 #Partial instantiations: 0
% 32.63/20.97 #Strategies tried : 1
% 32.63/20.97
% 32.63/20.97 Timing (in seconds)
% 32.63/20.97 ----------------------
% 32.63/20.97 Preprocessing : 0.77
% 32.63/20.97 Parsing : 0.41
% 32.63/20.97 CNF conversion : 0.07
% 32.63/20.97 Main loop : 19.09
% 32.63/20.97 Inferencing : 4.30
% 32.63/20.97 Reduction : 10.03
% 32.63/20.97 Demodulation : 8.50
% 32.63/20.97 BG Simplification : 0.12
% 32.63/20.98 Subsumption : 3.74
% 32.63/20.98 Abstraction : 0.15
% 32.63/20.98 MUC search : 0.00
% 32.63/20.98 Cooper : 0.00
% 32.63/20.98 Total : 19.94
% 32.63/20.98 Index Insertion : 0.00
% 32.63/20.98 Index Deletion : 0.00
% 32.63/20.98 Index Matching : 0.00
% 32.63/20.98 BG Taut test : 0.00
%------------------------------------------------------------------------------