TSTP Solution File: GRP624+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP624+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 : n028.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 10:41:41 EDT 2023
% Result : Theorem 103.95s 69.40s
% Output : CNFRefutation 104.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 78
% Syntax : Number of formulae : 167 ( 36 unt; 64 typ; 0 def)
% Number of atoms : 400 ( 19 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 503 ( 206 ~; 228 |; 46 &)
% ( 3 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 89 ( 47 >; 42 *; 0 +; 0 <<)
% Number of predicates : 23 ( 21 usr; 1 prp; 0-4 aty)
% Number of functors : 43 ( 43 usr; 17 con; 0-6 aty)
% Number of variables : 128 (; 128 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ m2_fraenkel > v1_partfun1 > v1_funct_2 > m2_relset_1 > m1_relset_1 > m1_fraenkel > r2_hidden > r1_tarski > m1_subset_1 > v4_group_1 > v3_struct_0 > v3_group_1 > v2_group_1 > v2_funct_1 > v1_xboole_0 > v1_relat_1 > v1_group_1 > v1_funct_1 > v1_fraenkel > l1_struct_0 > l1_group_1 > k2_binop_1 > k7_funct_2 > k1_binop_1 > k5_relat_1 > k4_tarski > k2_zfmisc_1 > k2_tarski > k1_funct_1 > g1_group_1 > #nlpp > u1_struct_0 > u1_group_1 > k4_autgroup > k2_autgroup > k1_zfmisc_1 > k1_tarski > k1_autgroup > k1_xboole_0 > #skF_20 > #skF_18 > #skF_17 > #skF_25 > #skF_19 > #skF_7 > #skF_16 > #skF_12 > #skF_14 > #skF_10 > #skF_6 > #skF_13 > #skF_2 > #skF_3 > #skF_1 > #skF_8 > #skF_11 > #skF_26 > #skF_22 > #skF_24 > #skF_23 > #skF_21 > #skF_9 > #skF_5 > #skF_15 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(v2_group_1,type,
v2_group_1: $i > $o ).
tff(m2_relset_1,type,
m2_relset_1: ( $i * $i * $i ) > $o ).
tff(v3_group_1,type,
v3_group_1: $i > $o ).
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(k1_autgroup,type,
k1_autgroup: $i > $i ).
tff('#skF_18',type,
'#skF_18': $i ).
tff('#skF_17',type,
'#skF_17': $i ).
tff(k4_autgroup,type,
k4_autgroup: $i > $i ).
tff(r2_hidden,type,
r2_hidden: ( $i * $i ) > $o ).
tff(k1_tarski,type,
k1_tarski: $i > $i ).
tff(k4_tarski,type,
k4_tarski: ( $i * $i ) > $i ).
tff(v1_partfun1,type,
v1_partfun1: ( $i * $i * $i ) > $o ).
tff('#skF_25',type,
'#skF_25': $i ).
tff(k1_xboole_0,type,
k1_xboole_0: $i ).
tff(k5_relat_1,type,
k5_relat_1: ( $i * $i ) > $i ).
tff('#skF_19',type,
'#skF_19': $i ).
tff('#skF_7',type,
'#skF_7': $i ).
tff(r1_tarski,type,
r1_tarski: ( $i * $i ) > $o ).
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('#skF_12',type,
'#skF_12': ( $i * $i ) > $i ).
tff(k2_tarski,type,
k2_tarski: ( $i * $i ) > $i ).
tff('#skF_14',type,
'#skF_14': $i ).
tff(v1_funct_2,type,
v1_funct_2: ( $i * $i * $i ) > $o ).
tff('#skF_10',type,
'#skF_10': $i > $i ).
tff('#skF_6',type,
'#skF_6': $i ).
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_autgroup,type,
k2_autgroup: $i > $i ).
tff('#skF_8',type,
'#skF_8': ( $i * $i ) > $i ).
tff('#skF_11',type,
'#skF_11': ( $i * $i * $i ) > $i ).
tff(k2_binop_1,type,
k2_binop_1: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(k1_binop_1,type,
k1_binop_1: ( $i * $i * $i ) > $i ).
tff(k1_zfmisc_1,type,
k1_zfmisc_1: $i > $i ).
tff(l1_struct_0,type,
l1_struct_0: $i > $o ).
tff(k1_funct_1,type,
k1_funct_1: ( $i * $i ) > $i ).
tff('#skF_26',type,
'#skF_26': $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_22',type,
'#skF_22': $i ).
tff(m2_fraenkel,type,
m2_fraenkel: ( $i * $i * $i * $i ) > $o ).
tff('#skF_24',type,
'#skF_24': $i ).
tff('#skF_23',type,
'#skF_23': $i ).
tff(v4_group_1,type,
v4_group_1: $i > $o ).
tff(v1_fraenkel,type,
v1_fraenkel: $i > $o ).
tff(g1_group_1,type,
g1_group_1: ( $i * $i ) > $i ).
tff(u1_struct_0,type,
u1_struct_0: $i > $i ).
tff('#skF_21',type,
'#skF_21': ( $i * $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('#skF_15',type,
'#skF_15': ( $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': ( $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(f_49,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))
=> ! [C] :
( m2_fraenkel(C,u1_struct_0(A),u1_struct_0(A),k4_autgroup(A))
=> ( k1_binop_1(k2_autgroup(A),B,C) = k7_funct_2(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),C,B) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_autgroup) ).
tff(f_211,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v1_group_1(A)
& v3_group_1(A)
& v4_group_1(A)
& l1_group_1(A) )
=> m1_fraenkel(k1_autgroup(A),u1_struct_0(A),u1_struct_0(A)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_autgroup) ).
tff(f_291,axiom,
! [A] :
( l1_group_1(A)
=> l1_struct_0(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_group_1) ).
tff(f_260,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_312,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_382,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_553,axiom,
! [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))
=> m2_fraenkel(B,u1_struct_0(A),u1_struct_0(A),k1_autgroup(A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_autgroup) ).
tff(f_531,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_229,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v1_group_1(A)
& v3_group_1(A)
& v4_group_1(A)
& l1_group_1(A) )
=> ( v1_funct_1(k2_autgroup(A))
& v1_funct_2(k2_autgroup(A),k2_zfmisc_1(k1_autgroup(A),k1_autgroup(A)),k1_autgroup(A))
& m2_relset_1(k2_autgroup(A),k2_zfmisc_1(k1_autgroup(A),k1_autgroup(A)),k1_autgroup(A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_autgroup) ).
tff(f_298,axiom,
! [A,B,C] :
( m1_fraenkel(C,A,B)
=> ( ~ v1_xboole_0(C)
& v1_fraenkel(C) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_fraenkel) ).
tff(f_247,axiom,
! [A,B,C,D,E,F] :
( ( ~ v1_xboole_0(A)
& ~ v1_xboole_0(B)
& v1_funct_1(D)
& v1_funct_2(D,k2_zfmisc_1(A,B),C)
& m1_relset_1(D,k2_zfmisc_1(A,B),C)
& m1_subset_1(E,A)
& m1_subset_1(F,B) )
=> m1_subset_1(k2_binop_1(A,B,C,D,E,F),C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_binop_1) ).
tff(f_186,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v1_group_1(A)
& v3_group_1(A)
& v4_group_1(A)
& l1_group_1(A) )
=> ! [B] :
( ( v1_funct_1(B)
& v1_funct_2(B,k2_zfmisc_1(k1_autgroup(A),k1_autgroup(A)),k1_autgroup(A))
& m2_relset_1(B,k2_zfmisc_1(k1_autgroup(A),k1_autgroup(A)),k1_autgroup(A)) )
=> ( ( B = k2_autgroup(A) )
<=> ! [C] :
( m2_fraenkel(C,u1_struct_0(A),u1_struct_0(A),k1_autgroup(A))
=> ! [D] :
( m2_fraenkel(D,u1_struct_0(A),u1_struct_0(A),k1_autgroup(A))
=> ( k2_binop_1(k1_autgroup(A),k1_autgroup(A),k1_autgroup(A),B,C,D) = k7_funct_2(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),D,C) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_autgroup) ).
tff(f_535,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_504,axiom,
! [A,B,C,D,E,F] :
( ( ~ v1_xboole_0(A)
& ~ v1_xboole_0(B)
& v1_funct_1(D)
& v1_funct_2(D,k2_zfmisc_1(A,B),C)
& m1_relset_1(D,k2_zfmisc_1(A,B),C)
& m1_subset_1(E,A)
& m1_subset_1(F,B) )
=> ( k2_binop_1(A,B,C,D,E,F) = k1_binop_1(D,E,F) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k2_binop_1) ).
tff(c_2,plain,
k7_funct_2(u1_struct_0('#skF_1'),u1_struct_0('#skF_1'),u1_struct_0('#skF_1'),'#skF_3','#skF_2') != k1_binop_1(k2_autgroup('#skF_1'),'#skF_2','#skF_3'),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_16,plain,
~ v3_struct_0('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_14,plain,
v1_group_1('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_12,plain,
v3_group_1('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_10,plain,
v4_group_1('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_8,plain,
l1_group_1('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_76,plain,
! [A_64] :
( m1_fraenkel(k1_autgroup(A_64),u1_struct_0(A_64),u1_struct_0(A_64))
| ~ l1_group_1(A_64)
| ~ v4_group_1(A_64)
| ~ v3_group_1(A_64)
| ~ v1_group_1(A_64)
| v3_struct_0(A_64) ),
inference(cnfTransformation,[status(thm)],[f_211]) ).
tff(c_112,plain,
! [A_80] :
( l1_struct_0(A_80)
| ~ l1_group_1(A_80) ),
inference(cnfTransformation,[status(thm)],[f_291]) ).
tff(c_1536,plain,
! [A_427] :
( m1_fraenkel(k4_autgroup(A_427),u1_struct_0(A_427),u1_struct_0(A_427))
| ~ l1_group_1(A_427)
| ~ v4_group_1(A_427)
| ~ v3_group_1(A_427)
| ~ v1_group_1(A_427)
| v3_struct_0(A_427) ),
inference(cnfTransformation,[status(thm)],[f_260]) ).
tff(c_4,plain,
m2_fraenkel('#skF_3',u1_struct_0('#skF_1'),u1_struct_0('#skF_1'),k4_autgroup('#skF_1')),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_983,plain,
! [D_333,A_334,B_335,C_336] :
( v1_funct_1(D_333)
| ~ m2_fraenkel(D_333,A_334,B_335,C_336)
| ~ m1_fraenkel(C_336,A_334,B_335)
| v1_xboole_0(B_335) ),
inference(cnfTransformation,[status(thm)],[f_312]) ).
tff(c_990,plain,
( v1_funct_1('#skF_3')
| ~ 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_983]) ).
tff(c_1059,plain,
~ m1_fraenkel(k4_autgroup('#skF_1'),u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),
inference(splitLeft,[status(thm)],[c_990]) ).
tff(c_1543,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_1536,c_1059]) ).
tff(c_1554,plain,
v3_struct_0('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_12,c_10,c_8,c_1543]) ).
tff(c_1556,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_16,c_1554]) ).
tff(c_1558,plain,
m1_fraenkel(k4_autgroup('#skF_1'),u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),
inference(splitRight,[status(thm)],[c_990]) ).
tff(c_6,plain,
m2_fraenkel('#skF_2',u1_struct_0('#skF_1'),u1_struct_0('#skF_1'),k4_autgroup('#skF_1')),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_991,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_6,c_983]) ).
tff(c_1569,plain,
( v1_funct_1('#skF_2')
| v1_xboole_0(u1_struct_0('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_1558,c_991]) ).
tff(c_1570,plain,
v1_xboole_0(u1_struct_0('#skF_1')),
inference(splitLeft,[status(thm)],[c_1569]) ).
tff(c_162,plain,
! [A_112] :
( ~ v1_xboole_0(u1_struct_0(A_112))
| ~ l1_struct_0(A_112)
| v3_struct_0(A_112) ),
inference(cnfTransformation,[status(thm)],[f_382]) ).
tff(c_1575,plain,
( ~ l1_struct_0('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_1570,c_162]) ).
tff(c_1587,plain,
~ l1_struct_0('#skF_1'),
inference(negUnitSimplification,[status(thm)],[c_16,c_1575]) ).
tff(c_1593,plain,
~ l1_group_1('#skF_1'),
inference(resolution,[status(thm)],[c_112,c_1587]) ).
tff(c_1597,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_8,c_1593]) ).
tff(c_1599,plain,
~ v1_xboole_0(u1_struct_0('#skF_1')),
inference(splitRight,[status(thm)],[c_1569]) ).
tff(c_2364,plain,
! [B_542,A_543] :
( m2_fraenkel(B_542,u1_struct_0(A_543),u1_struct_0(A_543),k1_autgroup(A_543))
| ~ m2_fraenkel(B_542,u1_struct_0(A_543),u1_struct_0(A_543),k4_autgroup(A_543))
| ~ l1_group_1(A_543)
| ~ v4_group_1(A_543)
| ~ v3_group_1(A_543)
| ~ v1_group_1(A_543)
| v3_struct_0(A_543) ),
inference(cnfTransformation,[status(thm)],[f_553]) ).
tff(c_2375,plain,
( m2_fraenkel('#skF_3',u1_struct_0('#skF_1'),u1_struct_0('#skF_1'),k1_autgroup('#skF_1'))
| ~ 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_4,c_2364]) ).
tff(c_2383,plain,
( m2_fraenkel('#skF_3',u1_struct_0('#skF_1'),u1_struct_0('#skF_1'),k1_autgroup('#skF_1'))
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_12,c_10,c_8,c_2375]) ).
tff(c_2384,plain,
m2_fraenkel('#skF_3',u1_struct_0('#skF_1'),u1_struct_0('#skF_1'),k1_autgroup('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_16,c_2383]) ).
tff(c_250,plain,
! [D_142,C_140,A_138,B_139] :
( m1_subset_1(D_142,C_140)
| ~ m2_fraenkel(D_142,A_138,B_139,C_140)
| ~ m1_fraenkel(C_140,A_138,B_139)
| v1_xboole_0(B_139) ),
inference(cnfTransformation,[status(thm)],[f_531]) ).
tff(c_2397,plain,
( m1_subset_1('#skF_3',k1_autgroup('#skF_1'))
| ~ m1_fraenkel(k1_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_2384,c_250]) ).
tff(c_2409,plain,
( m1_subset_1('#skF_3',k1_autgroup('#skF_1'))
| ~ m1_fraenkel(k1_autgroup('#skF_1'),u1_struct_0('#skF_1'),u1_struct_0('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_1599,c_2397]) ).
tff(c_2452,plain,
~ m1_fraenkel(k1_autgroup('#skF_1'),u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),
inference(splitLeft,[status(thm)],[c_2409]) ).
tff(c_2455,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_76,c_2452]) ).
tff(c_2458,plain,
v3_struct_0('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_12,c_10,c_8,c_2455]) ).
tff(c_2460,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_16,c_2458]) ).
tff(c_2462,plain,
m1_fraenkel(k1_autgroup('#skF_1'),u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),
inference(splitRight,[status(thm)],[c_2409]) ).
tff(c_2378,plain,
( m2_fraenkel('#skF_2',u1_struct_0('#skF_1'),u1_struct_0('#skF_1'),k1_autgroup('#skF_1'))
| ~ 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_6,c_2364]) ).
tff(c_2387,plain,
( m2_fraenkel('#skF_2',u1_struct_0('#skF_1'),u1_struct_0('#skF_1'),k1_autgroup('#skF_1'))
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_12,c_10,c_8,c_2378]) ).
tff(c_2388,plain,
m2_fraenkel('#skF_2',u1_struct_0('#skF_1'),u1_struct_0('#skF_1'),k1_autgroup('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_16,c_2387]) ).
tff(c_2421,plain,
( m1_subset_1('#skF_2',k1_autgroup('#skF_1'))
| ~ m1_fraenkel(k1_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_2388,c_250]) ).
tff(c_2433,plain,
( m1_subset_1('#skF_2',k1_autgroup('#skF_1'))
| ~ m1_fraenkel(k1_autgroup('#skF_1'),u1_struct_0('#skF_1'),u1_struct_0('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_1599,c_2421]) ).
tff(c_2505,plain,
m1_subset_1('#skF_2',k1_autgroup('#skF_1')),
inference(demodulation,[status(thm),theory(equality)],[c_2462,c_2433]) ).
tff(c_92,plain,
! [A_65] :
( v1_funct_1(k2_autgroup(A_65))
| ~ l1_group_1(A_65)
| ~ v4_group_1(A_65)
| ~ v3_group_1(A_65)
| ~ v1_group_1(A_65)
| v3_struct_0(A_65) ),
inference(cnfTransformation,[status(thm)],[f_229]) ).
tff(c_118,plain,
! [C_83,A_81,B_82] :
( ~ v1_xboole_0(C_83)
| ~ m1_fraenkel(C_83,A_81,B_82) ),
inference(cnfTransformation,[status(thm)],[f_298]) ).
tff(c_2502,plain,
~ v1_xboole_0(k1_autgroup('#skF_1')),
inference(resolution,[status(thm)],[c_2462,c_118]) ).
tff(c_90,plain,
! [A_65] :
( v1_funct_2(k2_autgroup(A_65),k2_zfmisc_1(k1_autgroup(A_65),k1_autgroup(A_65)),k1_autgroup(A_65))
| ~ l1_group_1(A_65)
| ~ v4_group_1(A_65)
| ~ v3_group_1(A_65)
| ~ v1_group_1(A_65)
| v3_struct_0(A_65) ),
inference(cnfTransformation,[status(thm)],[f_229]) ).
tff(c_2988,plain,
! [E_606,F_605,D_609,A_604,B_607,C_608] :
( m1_subset_1(k2_binop_1(A_604,B_607,C_608,D_609,E_606,F_605),C_608)
| ~ m1_subset_1(F_605,B_607)
| ~ m1_subset_1(E_606,A_604)
| ~ m1_relset_1(D_609,k2_zfmisc_1(A_604,B_607),C_608)
| ~ v1_funct_2(D_609,k2_zfmisc_1(A_604,B_607),C_608)
| ~ v1_funct_1(D_609)
| v1_xboole_0(B_607)
| v1_xboole_0(A_604) ),
inference(cnfTransformation,[status(thm)],[f_247]) ).
tff(c_7754,plain,
! [A_929,E_930,F_931] :
( m1_subset_1(k2_binop_1(k1_autgroup(A_929),k1_autgroup(A_929),k1_autgroup(A_929),k2_autgroup(A_929),E_930,F_931),k1_autgroup(A_929))
| ~ m1_subset_1(F_931,k1_autgroup(A_929))
| ~ m1_subset_1(E_930,k1_autgroup(A_929))
| ~ m1_relset_1(k2_autgroup(A_929),k2_zfmisc_1(k1_autgroup(A_929),k1_autgroup(A_929)),k1_autgroup(A_929))
| ~ v1_funct_1(k2_autgroup(A_929))
| v1_xboole_0(k1_autgroup(A_929))
| ~ l1_group_1(A_929)
| ~ v4_group_1(A_929)
| ~ v3_group_1(A_929)
| ~ v1_group_1(A_929)
| v3_struct_0(A_929) ),
inference(resolution,[status(thm)],[c_90,c_2988]) ).
tff(c_1752,plain,
! [D_437,A_438,B_439,C_440] :
( m2_fraenkel(D_437,A_438,B_439,C_440)
| ~ m1_subset_1(D_437,C_440)
| ~ m1_fraenkel(C_440,A_438,B_439)
| v1_xboole_0(B_439) ),
inference(cnfTransformation,[status(thm)],[f_531]) ).
tff(c_128,plain,
! [D_88,A_84,B_85,C_86] :
( v1_funct_1(D_88)
| ~ m2_fraenkel(D_88,A_84,B_85,C_86)
| ~ m1_fraenkel(C_86,A_84,B_85)
| v1_xboole_0(B_85) ),
inference(cnfTransformation,[status(thm)],[f_312]) ).
tff(c_1760,plain,
! [D_437,C_440,A_438,B_439] :
( v1_funct_1(D_437)
| ~ m1_subset_1(D_437,C_440)
| ~ m1_fraenkel(C_440,A_438,B_439)
| v1_xboole_0(B_439) ),
inference(resolution,[status(thm)],[c_1752,c_128]) ).
tff(c_29127,plain,
! [E_2314,A_2316,F_2317,A_2313,B_2315] :
( v1_funct_1(k2_binop_1(k1_autgroup(A_2313),k1_autgroup(A_2313),k1_autgroup(A_2313),k2_autgroup(A_2313),E_2314,F_2317))
| ~ m1_fraenkel(k1_autgroup(A_2313),A_2316,B_2315)
| v1_xboole_0(B_2315)
| ~ m1_subset_1(F_2317,k1_autgroup(A_2313))
| ~ m1_subset_1(E_2314,k1_autgroup(A_2313))
| ~ m1_relset_1(k2_autgroup(A_2313),k2_zfmisc_1(k1_autgroup(A_2313),k1_autgroup(A_2313)),k1_autgroup(A_2313))
| ~ v1_funct_1(k2_autgroup(A_2313))
| v1_xboole_0(k1_autgroup(A_2313))
| ~ l1_group_1(A_2313)
| ~ v4_group_1(A_2313)
| ~ v3_group_1(A_2313)
| ~ v1_group_1(A_2313)
| v3_struct_0(A_2313) ),
inference(resolution,[status(thm)],[c_7754,c_1760]) ).
tff(c_29129,plain,
! [E_2314,F_2317] :
( v1_funct_1(k2_binop_1(k1_autgroup('#skF_1'),k1_autgroup('#skF_1'),k1_autgroup('#skF_1'),k2_autgroup('#skF_1'),E_2314,F_2317))
| v1_xboole_0(u1_struct_0('#skF_1'))
| ~ m1_subset_1(F_2317,k1_autgroup('#skF_1'))
| ~ m1_subset_1(E_2314,k1_autgroup('#skF_1'))
| ~ m1_relset_1(k2_autgroup('#skF_1'),k2_zfmisc_1(k1_autgroup('#skF_1'),k1_autgroup('#skF_1')),k1_autgroup('#skF_1'))
| ~ v1_funct_1(k2_autgroup('#skF_1'))
| v1_xboole_0(k1_autgroup('#skF_1'))
| ~ 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_2462,c_29127]) ).
tff(c_29134,plain,
! [E_2314,F_2317] :
( v1_funct_1(k2_binop_1(k1_autgroup('#skF_1'),k1_autgroup('#skF_1'),k1_autgroup('#skF_1'),k2_autgroup('#skF_1'),E_2314,F_2317))
| v1_xboole_0(u1_struct_0('#skF_1'))
| ~ m1_subset_1(F_2317,k1_autgroup('#skF_1'))
| ~ m1_subset_1(E_2314,k1_autgroup('#skF_1'))
| ~ m1_relset_1(k2_autgroup('#skF_1'),k2_zfmisc_1(k1_autgroup('#skF_1'),k1_autgroup('#skF_1')),k1_autgroup('#skF_1'))
| ~ v1_funct_1(k2_autgroup('#skF_1'))
| v1_xboole_0(k1_autgroup('#skF_1'))
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_12,c_10,c_8,c_29129]) ).
tff(c_29135,plain,
! [E_2314,F_2317] :
( v1_funct_1(k2_binop_1(k1_autgroup('#skF_1'),k1_autgroup('#skF_1'),k1_autgroup('#skF_1'),k2_autgroup('#skF_1'),E_2314,F_2317))
| ~ m1_subset_1(F_2317,k1_autgroup('#skF_1'))
| ~ m1_subset_1(E_2314,k1_autgroup('#skF_1'))
| ~ m1_relset_1(k2_autgroup('#skF_1'),k2_zfmisc_1(k1_autgroup('#skF_1'),k1_autgroup('#skF_1')),k1_autgroup('#skF_1'))
| ~ v1_funct_1(k2_autgroup('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_16,c_2502,c_1599,c_29134]) ).
tff(c_32459,plain,
~ v1_funct_1(k2_autgroup('#skF_1')),
inference(splitLeft,[status(thm)],[c_29135]) ).
tff(c_32462,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_92,c_32459]) ).
tff(c_32465,plain,
v3_struct_0('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_12,c_10,c_8,c_32462]) ).
tff(c_32467,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_16,c_32465]) ).
tff(c_32469,plain,
v1_funct_1(k2_autgroup('#skF_1')),
inference(splitRight,[status(thm)],[c_29135]) ).
tff(c_88,plain,
! [A_65] :
( m2_relset_1(k2_autgroup(A_65),k2_zfmisc_1(k1_autgroup(A_65),k1_autgroup(A_65)),k1_autgroup(A_65))
| ~ l1_group_1(A_65)
| ~ v4_group_1(A_65)
| ~ v3_group_1(A_65)
| ~ v1_group_1(A_65)
| v3_struct_0(A_65) ),
inference(cnfTransformation,[status(thm)],[f_229]) ).
tff(c_3623,plain,
! [A_658,C_659,D_660] :
( ( k2_binop_1(k1_autgroup(A_658),k1_autgroup(A_658),k1_autgroup(A_658),k2_autgroup(A_658),C_659,D_660) = k7_funct_2(u1_struct_0(A_658),u1_struct_0(A_658),u1_struct_0(A_658),D_660,C_659) )
| ~ m2_fraenkel(D_660,u1_struct_0(A_658),u1_struct_0(A_658),k1_autgroup(A_658))
| ~ m2_fraenkel(C_659,u1_struct_0(A_658),u1_struct_0(A_658),k1_autgroup(A_658))
| ~ m2_relset_1(k2_autgroup(A_658),k2_zfmisc_1(k1_autgroup(A_658),k1_autgroup(A_658)),k1_autgroup(A_658))
| ~ v1_funct_2(k2_autgroup(A_658),k2_zfmisc_1(k1_autgroup(A_658),k1_autgroup(A_658)),k1_autgroup(A_658))
| ~ v1_funct_1(k2_autgroup(A_658))
| ~ l1_group_1(A_658)
| ~ v4_group_1(A_658)
| ~ v3_group_1(A_658)
| ~ v1_group_1(A_658)
| v3_struct_0(A_658) ),
inference(cnfTransformation,[status(thm)],[f_186]) ).
tff(c_10618,plain,
! [A_1064,C_1065,D_1066] :
( ( k2_binop_1(k1_autgroup(A_1064),k1_autgroup(A_1064),k1_autgroup(A_1064),k2_autgroup(A_1064),C_1065,D_1066) = k7_funct_2(u1_struct_0(A_1064),u1_struct_0(A_1064),u1_struct_0(A_1064),D_1066,C_1065) )
| ~ m2_fraenkel(D_1066,u1_struct_0(A_1064),u1_struct_0(A_1064),k1_autgroup(A_1064))
| ~ m2_fraenkel(C_1065,u1_struct_0(A_1064),u1_struct_0(A_1064),k1_autgroup(A_1064))
| ~ m2_relset_1(k2_autgroup(A_1064),k2_zfmisc_1(k1_autgroup(A_1064),k1_autgroup(A_1064)),k1_autgroup(A_1064))
| ~ v1_funct_1(k2_autgroup(A_1064))
| ~ l1_group_1(A_1064)
| ~ v4_group_1(A_1064)
| ~ v3_group_1(A_1064)
| ~ v1_group_1(A_1064)
| v3_struct_0(A_1064) ),
inference(resolution,[status(thm)],[c_90,c_3623]) ).
tff(c_10632,plain,
! [A_65,C_1065,D_1066] :
( ( k2_binop_1(k1_autgroup(A_65),k1_autgroup(A_65),k1_autgroup(A_65),k2_autgroup(A_65),C_1065,D_1066) = k7_funct_2(u1_struct_0(A_65),u1_struct_0(A_65),u1_struct_0(A_65),D_1066,C_1065) )
| ~ m2_fraenkel(D_1066,u1_struct_0(A_65),u1_struct_0(A_65),k1_autgroup(A_65))
| ~ m2_fraenkel(C_1065,u1_struct_0(A_65),u1_struct_0(A_65),k1_autgroup(A_65))
| ~ v1_funct_1(k2_autgroup(A_65))
| ~ l1_group_1(A_65)
| ~ v4_group_1(A_65)
| ~ v3_group_1(A_65)
| ~ v1_group_1(A_65)
| v3_struct_0(A_65) ),
inference(resolution,[status(thm)],[c_88,c_10618]) ).
tff(c_2150,plain,
! [A_502] :
( m2_relset_1(k2_autgroup(A_502),k2_zfmisc_1(k1_autgroup(A_502),k1_autgroup(A_502)),k1_autgroup(A_502))
| ~ l1_group_1(A_502)
| ~ v4_group_1(A_502)
| ~ v3_group_1(A_502)
| ~ v1_group_1(A_502)
| v3_struct_0(A_502) ),
inference(cnfTransformation,[status(thm)],[f_229]) ).
tff(c_254,plain,
! [C_145,A_143,B_144] :
( m1_relset_1(C_145,A_143,B_144)
| ~ m2_relset_1(C_145,A_143,B_144) ),
inference(cnfTransformation,[status(thm)],[f_535]) ).
tff(c_2158,plain,
! [A_502] :
( m1_relset_1(k2_autgroup(A_502),k2_zfmisc_1(k1_autgroup(A_502),k1_autgroup(A_502)),k1_autgroup(A_502))
| ~ l1_group_1(A_502)
| ~ v4_group_1(A_502)
| ~ v3_group_1(A_502)
| ~ v1_group_1(A_502)
| v3_struct_0(A_502) ),
inference(resolution,[status(thm)],[c_2150,c_254]) ).
tff(c_32468,plain,
! [E_2314,F_2317] :
( ~ m1_relset_1(k2_autgroup('#skF_1'),k2_zfmisc_1(k1_autgroup('#skF_1'),k1_autgroup('#skF_1')),k1_autgroup('#skF_1'))
| v1_funct_1(k2_binop_1(k1_autgroup('#skF_1'),k1_autgroup('#skF_1'),k1_autgroup('#skF_1'),k2_autgroup('#skF_1'),E_2314,F_2317))
| ~ m1_subset_1(F_2317,k1_autgroup('#skF_1'))
| ~ m1_subset_1(E_2314,k1_autgroup('#skF_1')) ),
inference(splitRight,[status(thm)],[c_29135]) ).
tff(c_32714,plain,
~ m1_relset_1(k2_autgroup('#skF_1'),k2_zfmisc_1(k1_autgroup('#skF_1'),k1_autgroup('#skF_1')),k1_autgroup('#skF_1')),
inference(splitLeft,[status(thm)],[c_32468]) ).
tff(c_32723,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_2158,c_32714]) ).
tff(c_32732,plain,
v3_struct_0('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_12,c_10,c_8,c_32723]) ).
tff(c_32734,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_16,c_32732]) ).
tff(c_32736,plain,
m1_relset_1(k2_autgroup('#skF_1'),k2_zfmisc_1(k1_autgroup('#skF_1'),k1_autgroup('#skF_1')),k1_autgroup('#skF_1')),
inference(splitRight,[status(thm)],[c_32468]) ).
tff(c_2461,plain,
m1_subset_1('#skF_3',k1_autgroup('#skF_1')),
inference(splitRight,[status(thm)],[c_2409]) ).
tff(c_3109,plain,
! [B_616,E_614,D_619,F_615,C_617,A_618] :
( ( k2_binop_1(A_618,B_616,C_617,D_619,E_614,F_615) = k1_binop_1(D_619,E_614,F_615) )
| ~ m1_subset_1(F_615,B_616)
| ~ m1_subset_1(E_614,A_618)
| ~ m1_relset_1(D_619,k2_zfmisc_1(A_618,B_616),C_617)
| ~ v1_funct_2(D_619,k2_zfmisc_1(A_618,B_616),C_617)
| ~ v1_funct_1(D_619)
| v1_xboole_0(B_616)
| v1_xboole_0(A_618) ),
inference(cnfTransformation,[status(thm)],[f_504]) ).
tff(c_3113,plain,
! [A_618,C_617,D_619,E_614] :
( ( k2_binop_1(A_618,k1_autgroup('#skF_1'),C_617,D_619,E_614,'#skF_3') = k1_binop_1(D_619,E_614,'#skF_3') )
| ~ m1_subset_1(E_614,A_618)
| ~ m1_relset_1(D_619,k2_zfmisc_1(A_618,k1_autgroup('#skF_1')),C_617)
| ~ v1_funct_2(D_619,k2_zfmisc_1(A_618,k1_autgroup('#skF_1')),C_617)
| ~ v1_funct_1(D_619)
| v1_xboole_0(k1_autgroup('#skF_1'))
| v1_xboole_0(A_618) ),
inference(resolution,[status(thm)],[c_2461,c_3109]) ).
tff(c_137023,plain,
! [A_4863,C_4864,D_4865,E_4866] :
( ( k2_binop_1(A_4863,k1_autgroup('#skF_1'),C_4864,D_4865,E_4866,'#skF_3') = k1_binop_1(D_4865,E_4866,'#skF_3') )
| ~ m1_subset_1(E_4866,A_4863)
| ~ m1_relset_1(D_4865,k2_zfmisc_1(A_4863,k1_autgroup('#skF_1')),C_4864)
| ~ v1_funct_2(D_4865,k2_zfmisc_1(A_4863,k1_autgroup('#skF_1')),C_4864)
| ~ v1_funct_1(D_4865)
| v1_xboole_0(A_4863) ),
inference(negUnitSimplification,[status(thm)],[c_2502,c_3113]) ).
tff(c_137163,plain,
! [E_4866] :
( ( k2_binop_1(k1_autgroup('#skF_1'),k1_autgroup('#skF_1'),k1_autgroup('#skF_1'),k2_autgroup('#skF_1'),E_4866,'#skF_3') = k1_binop_1(k2_autgroup('#skF_1'),E_4866,'#skF_3') )
| ~ m1_subset_1(E_4866,k1_autgroup('#skF_1'))
| ~ m1_relset_1(k2_autgroup('#skF_1'),k2_zfmisc_1(k1_autgroup('#skF_1'),k1_autgroup('#skF_1')),k1_autgroup('#skF_1'))
| ~ v1_funct_1(k2_autgroup('#skF_1'))
| v1_xboole_0(k1_autgroup('#skF_1'))
| ~ 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_90,c_137023]) ).
tff(c_137248,plain,
! [E_4866] :
( ( k2_binop_1(k1_autgroup('#skF_1'),k1_autgroup('#skF_1'),k1_autgroup('#skF_1'),k2_autgroup('#skF_1'),E_4866,'#skF_3') = k1_binop_1(k2_autgroup('#skF_1'),E_4866,'#skF_3') )
| ~ m1_subset_1(E_4866,k1_autgroup('#skF_1'))
| v1_xboole_0(k1_autgroup('#skF_1'))
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_12,c_10,c_8,c_32469,c_32736,c_137163]) ).
tff(c_140806,plain,
! [E_4884] :
( ( k2_binop_1(k1_autgroup('#skF_1'),k1_autgroup('#skF_1'),k1_autgroup('#skF_1'),k2_autgroup('#skF_1'),E_4884,'#skF_3') = k1_binop_1(k2_autgroup('#skF_1'),E_4884,'#skF_3') )
| ~ m1_subset_1(E_4884,k1_autgroup('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_16,c_2502,c_137248]) ).
tff(c_140885,plain,
! [C_1065] :
( ( k7_funct_2(u1_struct_0('#skF_1'),u1_struct_0('#skF_1'),u1_struct_0('#skF_1'),'#skF_3',C_1065) = k1_binop_1(k2_autgroup('#skF_1'),C_1065,'#skF_3') )
| ~ m1_subset_1(C_1065,k1_autgroup('#skF_1'))
| ~ m2_fraenkel('#skF_3',u1_struct_0('#skF_1'),u1_struct_0('#skF_1'),k1_autgroup('#skF_1'))
| ~ m2_fraenkel(C_1065,u1_struct_0('#skF_1'),u1_struct_0('#skF_1'),k1_autgroup('#skF_1'))
| ~ v1_funct_1(k2_autgroup('#skF_1'))
| ~ 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_10632,c_140806]) ).
tff(c_140940,plain,
! [C_1065] :
( ( k7_funct_2(u1_struct_0('#skF_1'),u1_struct_0('#skF_1'),u1_struct_0('#skF_1'),'#skF_3',C_1065) = k1_binop_1(k2_autgroup('#skF_1'),C_1065,'#skF_3') )
| ~ m1_subset_1(C_1065,k1_autgroup('#skF_1'))
| ~ m2_fraenkel(C_1065,u1_struct_0('#skF_1'),u1_struct_0('#skF_1'),k1_autgroup('#skF_1'))
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_12,c_10,c_8,c_32469,c_2384,c_140885]) ).
tff(c_142368,plain,
! [C_4919] :
( ( k7_funct_2(u1_struct_0('#skF_1'),u1_struct_0('#skF_1'),u1_struct_0('#skF_1'),'#skF_3',C_4919) = k1_binop_1(k2_autgroup('#skF_1'),C_4919,'#skF_3') )
| ~ m1_subset_1(C_4919,k1_autgroup('#skF_1'))
| ~ m2_fraenkel(C_4919,u1_struct_0('#skF_1'),u1_struct_0('#skF_1'),k1_autgroup('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_16,c_140940]) ).
tff(c_142390,plain,
( ( k7_funct_2(u1_struct_0('#skF_1'),u1_struct_0('#skF_1'),u1_struct_0('#skF_1'),'#skF_3','#skF_2') = k1_binop_1(k2_autgroup('#skF_1'),'#skF_2','#skF_3') )
| ~ m1_subset_1('#skF_2',k1_autgroup('#skF_1')) ),
inference(resolution,[status(thm)],[c_2388,c_142368]) ).
tff(c_142423,plain,
k7_funct_2(u1_struct_0('#skF_1'),u1_struct_0('#skF_1'),u1_struct_0('#skF_1'),'#skF_3','#skF_2') = k1_binop_1(k2_autgroup('#skF_1'),'#skF_2','#skF_3'),
inference(demodulation,[status(thm),theory(equality)],[c_2505,c_142390]) ).
tff(c_142425,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2,c_142423]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP624+1 : TPTP v8.1.2. Released v3.4.0.
% 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
% 0.16/0.35 % Computer : n028.cluster.edu
% 0.16/0.35 % Model : x86_64 x86_64
% 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35 % Memory : 8042.1875MB
% 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35 % CPULimit : 300
% 0.16/0.35 % WCLimit : 300
% 0.16/0.35 % DateTime : Thu Aug 3 22:28:09 EDT 2023
% 0.16/0.35 % CPUTime :
% 103.95/69.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 104.02/69.42
% 104.02/69.42 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 104.23/69.46
% 104.23/69.46 Inference rules
% 104.23/69.46 ----------------------
% 104.23/69.46 #Ref : 6
% 104.23/69.46 #Sup : 33119
% 104.23/69.46 #Fact : 0
% 104.23/69.46 #Define : 0
% 104.23/69.46 #Split : 153
% 104.23/69.46 #Chain : 0
% 104.23/69.46 #Close : 0
% 104.23/69.46
% 104.23/69.46 Ordering : KBO
% 104.23/69.46
% 104.23/69.46 Simplification rules
% 104.23/69.46 ----------------------
% 104.23/69.46 #Subsume : 10076
% 104.23/69.46 #Demod : 47882
% 104.23/69.46 #Tautology : 3426
% 104.23/69.46 #SimpNegUnit : 8151
% 104.23/69.46 #BackRed : 3114
% 104.23/69.46
% 104.23/69.46 #Partial instantiations: 0
% 104.23/69.46 #Strategies tried : 1
% 104.23/69.46
% 104.23/69.46 Timing (in seconds)
% 104.23/69.46 ----------------------
% 104.23/69.46 Preprocessing : 0.77
% 104.23/69.46 Parsing : 0.39
% 104.23/69.46 CNF conversion : 0.07
% 104.23/69.46 Main loop : 67.60
% 104.23/69.46 Inferencing : 10.24
% 104.23/69.46 Reduction : 38.62
% 104.23/69.46 Demodulation : 33.40
% 104.23/69.46 BG Simplification : 0.63
% 104.23/69.46 Subsumption : 14.57
% 104.23/69.46 Abstraction : 1.73
% 104.23/69.46 MUC search : 0.00
% 104.23/69.46 Cooper : 0.00
% 104.23/69.46 Total : 68.45
% 104.23/69.46 Index Insertion : 0.00
% 104.23/69.46 Index Deletion : 0.00
% 104.23/69.46 Index Matching : 0.00
% 104.23/69.46 BG Taut test : 0.00
%------------------------------------------------------------------------------