TSTP Solution File: GRP640+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP640+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 : n026.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 10:41:45 EDT 2023
% Result : Theorem 8.77s 3.07s
% Output : CNFRefutation 9.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 56
% Syntax : Number of formulae : 99 ( 22 unt; 49 typ; 0 def)
% Number of atoms : 205 ( 18 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 256 ( 101 ~; 106 |; 31 &)
% ( 2 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 65 ( 37 >; 28 *; 0 +; 0 <<)
% Number of predicates : 20 ( 18 usr; 1 prp; 0-3 aty)
% Number of functors : 31 ( 31 usr; 12 con; 0-4 aty)
% Number of variables : 54 (; 54 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ v1_partfun1 > v1_funct_2 > r1_group_2 > m2_relset_1 > m1_relset_1 > r2_hidden > r1_tarski > m1_subset_1 > m1_group_2 > v4_group_1 > v3_struct_0 > v3_group_1 > v1_xboole_0 > v1_relat_1 > v1_group_1 > v1_funct_1 > l1_struct_0 > l1_group_1 > k2_funct_2 > k8_group_4 > k9_relat_1 > k5_group_4 > k2_zfmisc_1 > k2_xboole_0 > g1_group_1 > #nlpp > u1_struct_0 > u1_group_1 > k1_zfmisc_1 > k1_xboole_0 > #skF_16 > #skF_18 > #skF_17 > #skF_15 > #skF_19 > #skF_20 > #skF_14 > #skF_5 > #skF_6 > #skF_2 > #skF_10 > #skF_3 > #skF_1 > #skF_8 > #skF_9 > #skF_13 > #skF_4 > #skF_11 > #skF_7 > #skF_12
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(m2_relset_1,type,
m2_relset_1: ( $i * $i * $i ) > $o ).
tff('#skF_16',type,
'#skF_16': $i > $i ).
tff(v3_group_1,type,
v3_group_1: $i > $o ).
tff(u1_group_1,type,
u1_group_1: $i > $i ).
tff(v1_funct_1,type,
v1_funct_1: $i > $o ).
tff('#skF_18',type,
'#skF_18': $i > $i ).
tff('#skF_17',type,
'#skF_17': $i ).
tff(r2_hidden,type,
r2_hidden: ( $i * $i ) > $o ).
tff('#skF_15',type,
'#skF_15': $i ).
tff(v1_partfun1,type,
v1_partfun1: ( $i * $i * $i ) > $o ).
tff('#skF_19',type,
'#skF_19': $i > $i ).
tff(k1_xboole_0,type,
k1_xboole_0: $i ).
tff('#skF_20',type,
'#skF_20': ( $i * $i ) > $i ).
tff(k2_funct_2,type,
k2_funct_2: ( $i * $i * $i * $i ) > $i ).
tff(r1_group_2,type,
r1_group_2: ( $i * $i * $i ) > $o ).
tff(r1_tarski,type,
r1_tarski: ( $i * $i ) > $o ).
tff(m1_relset_1,type,
m1_relset_1: ( $i * $i * $i ) > $o ).
tff('#skF_14',type,
'#skF_14': $i ).
tff('#skF_5',type,
'#skF_5': $i ).
tff(v1_funct_2,type,
v1_funct_2: ( $i * $i * $i ) > $o ).
tff('#skF_6',type,
'#skF_6': $i ).
tff(v1_group_1,type,
v1_group_1: $i > $o ).
tff('#skF_2',type,
'#skF_2': $i ).
tff(k9_relat_1,type,
k9_relat_1: ( $i * $i ) > $i ).
tff('#skF_10',type,
'#skF_10': ( $i * $i ) > $i ).
tff(k8_group_4,type,
k8_group_4: ( $i * $i * $i ) > $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff('#skF_8',type,
'#skF_8': ( $i * $i ) > $i ).
tff('#skF_9',type,
'#skF_9': $i ).
tff(k1_zfmisc_1,type,
k1_zfmisc_1: $i > $i ).
tff(l1_struct_0,type,
l1_struct_0: $i > $o ).
tff('#skF_13',type,
'#skF_13': $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_11',type,
'#skF_11': $i > $i ).
tff(m1_group_2,type,
m1_group_2: ( $i * $i ) > $o ).
tff(v4_group_1,type,
v4_group_1: $i > $o ).
tff(g1_group_1,type,
g1_group_1: ( $i * $i ) > $i ).
tff(k2_xboole_0,type,
k2_xboole_0: ( $i * $i ) > $i ).
tff('#skF_7',type,
'#skF_7': ( $i * $i ) > $i ).
tff(k5_group_4,type,
k5_group_4: ( $i * $i ) > $i ).
tff(u1_struct_0,type,
u1_struct_0: $i > $i ).
tff(v1_xboole_0,type,
v1_xboole_0: $i > $o ).
tff(l1_group_1,type,
l1_group_1: $i > $o ).
tff('#skF_12',type,
'#skF_12': $i ).
tff(v3_struct_0,type,
v3_struct_0: $i > $o ).
tff(m1_subset_1,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(f_69,negated_conjecture,
~ ! [A] :
( ( ~ v3_struct_0(A)
& v3_group_1(A)
& v4_group_1(A)
& l1_group_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v3_group_1(B)
& v4_group_1(B)
& l1_group_1(B) )
=> ! [C] :
( m1_group_2(C,A)
=> ! [D] :
( m1_group_2(D,A)
=> ! [E] :
( ( v1_funct_1(E)
& v1_funct_2(E,u1_struct_0(A),u1_struct_0(B))
& m2_relset_1(E,u1_struct_0(A),u1_struct_0(B)) )
=> ! [F] :
( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A)))
=> ( ( F = k2_xboole_0(u1_struct_0(C),u1_struct_0(D)) )
=> ( k2_funct_2(u1_struct_0(A),u1_struct_0(B),E,u1_struct_0(k8_group_4(A,C,D))) = k2_funct_2(u1_struct_0(A),u1_struct_0(B),E,u1_struct_0(k5_group_4(A,F))) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_latsubgr) ).
tff(f_429,axiom,
! [A,B,C] :
( ( ~ v3_struct_0(A)
& v3_group_1(A)
& v4_group_1(A)
& l1_group_1(A)
& m1_group_2(B,A)
& m1_group_2(C,A) )
=> ( v1_group_1(k8_group_4(A,B,C))
& m1_group_2(k8_group_4(A,B,C),A) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_group_4) ).
tff(f_412,axiom,
! [A,B] :
( ( ~ v3_struct_0(A)
& v3_group_1(A)
& v4_group_1(A)
& l1_group_1(A)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
=> ( v1_group_1(k5_group_4(A,B))
& m1_group_2(k5_group_4(A,B),A) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_group_4) ).
tff(f_483,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_group_1(A)
& v4_group_1(A)
& l1_group_1(A) )
=> ! [B] :
( m1_group_2(B,A)
=> ! [C] :
( m1_group_2(C,A)
=> ! [D] :
( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A)))
=> ( ( D = k2_xboole_0(u1_struct_0(B),u1_struct_0(C)) )
=> r1_group_2(A,k8_group_4(A,B,C),k5_group_4(A,D)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_latsubgr) ).
tff(f_389,axiom,
! [A,B,C] :
( ( ~ v3_struct_0(A)
& v3_group_1(A)
& v4_group_1(A)
& l1_group_1(A)
& v1_group_1(B)
& m1_group_2(B,A)
& v1_group_1(C)
& m1_group_2(C,A) )
=> ( r1_group_2(A,B,C)
<=> ( B = C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_r1_group_2) ).
tff(f_368,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_364,axiom,
! [A,B,C,D] :
( ( v1_funct_1(C)
& v1_funct_2(C,A,B)
& m1_relset_1(C,A,B) )
=> ( k2_funct_2(A,B,C,D) = k9_relat_1(C,D) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k2_funct_2) ).
tff(c_32,plain,
~ v3_struct_0('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_30,plain,
v3_group_1('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_28,plain,
v4_group_1('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_26,plain,
l1_group_1('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_16,plain,
m1_group_2('#skF_3','#skF_1'),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_14,plain,
m1_group_2('#skF_4','#skF_1'),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_186,plain,
! [A_157,B_158,C_159] :
( v1_group_1(k8_group_4(A_157,B_158,C_159))
| ~ m1_group_2(C_159,A_157)
| ~ m1_group_2(B_158,A_157)
| ~ l1_group_1(A_157)
| ~ v4_group_1(A_157)
| ~ v3_group_1(A_157)
| v3_struct_0(A_157) ),
inference(cnfTransformation,[status(thm)],[f_429]) ).
tff(c_6,plain,
m1_subset_1('#skF_6',k1_zfmisc_1(u1_struct_0('#skF_1'))),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_1289,plain,
! [A_389,B_390] :
( v1_group_1(k5_group_4(A_389,B_390))
| ~ m1_subset_1(B_390,k1_zfmisc_1(u1_struct_0(A_389)))
| ~ l1_group_1(A_389)
| ~ v4_group_1(A_389)
| ~ v3_group_1(A_389)
| v3_struct_0(A_389) ),
inference(cnfTransformation,[status(thm)],[f_412]) ).
tff(c_1315,plain,
( v1_group_1(k5_group_4('#skF_1','#skF_6'))
| ~ l1_group_1('#skF_1')
| ~ v4_group_1('#skF_1')
| ~ v3_group_1('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_6,c_1289]) ).
tff(c_1324,plain,
( v1_group_1(k5_group_4('#skF_1','#skF_6'))
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_30,c_28,c_26,c_1315]) ).
tff(c_1325,plain,
v1_group_1(k5_group_4('#skF_1','#skF_6')),
inference(negUnitSimplification,[status(thm)],[c_32,c_1324]) ).
tff(c_1540,plain,
! [A_424,B_425] :
( m1_group_2(k5_group_4(A_424,B_425),A_424)
| ~ m1_subset_1(B_425,k1_zfmisc_1(u1_struct_0(A_424)))
| ~ l1_group_1(A_424)
| ~ v4_group_1(A_424)
| ~ v3_group_1(A_424)
| v3_struct_0(A_424) ),
inference(cnfTransformation,[status(thm)],[f_412]) ).
tff(c_1570,plain,
( m1_group_2(k5_group_4('#skF_1','#skF_6'),'#skF_1')
| ~ l1_group_1('#skF_1')
| ~ v4_group_1('#skF_1')
| ~ v3_group_1('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_6,c_1540]) ).
tff(c_1586,plain,
( m1_group_2(k5_group_4('#skF_1','#skF_6'),'#skF_1')
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_30,c_28,c_26,c_1570]) ).
tff(c_1587,plain,
m1_group_2(k5_group_4('#skF_1','#skF_6'),'#skF_1'),
inference(negUnitSimplification,[status(thm)],[c_32,c_1586]) ).
tff(c_184,plain,
! [A_157,B_158,C_159] :
( m1_group_2(k8_group_4(A_157,B_158,C_159),A_157)
| ~ m1_group_2(C_159,A_157)
| ~ m1_group_2(B_158,A_157)
| ~ l1_group_1(A_157)
| ~ v4_group_1(A_157)
| ~ v3_group_1(A_157)
| v3_struct_0(A_157) ),
inference(cnfTransformation,[status(thm)],[f_429]) ).
tff(c_4,plain,
k2_xboole_0(u1_struct_0('#skF_3'),u1_struct_0('#skF_4')) = '#skF_6',
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_2481,plain,
! [A_586,B_587,C_588] :
( r1_group_2(A_586,k8_group_4(A_586,B_587,C_588),k5_group_4(A_586,k2_xboole_0(u1_struct_0(B_587),u1_struct_0(C_588))))
| ~ m1_subset_1(k2_xboole_0(u1_struct_0(B_587),u1_struct_0(C_588)),k1_zfmisc_1(u1_struct_0(A_586)))
| ~ m1_group_2(C_588,A_586)
| ~ m1_group_2(B_587,A_586)
| ~ l1_group_1(A_586)
| ~ v4_group_1(A_586)
| ~ v3_group_1(A_586)
| v3_struct_0(A_586) ),
inference(cnfTransformation,[status(thm)],[f_483]) ).
tff(c_2498,plain,
! [A_586] :
( r1_group_2(A_586,k8_group_4(A_586,'#skF_3','#skF_4'),k5_group_4(A_586,'#skF_6'))
| ~ m1_subset_1(k2_xboole_0(u1_struct_0('#skF_3'),u1_struct_0('#skF_4')),k1_zfmisc_1(u1_struct_0(A_586)))
| ~ m1_group_2('#skF_4',A_586)
| ~ m1_group_2('#skF_3',A_586)
| ~ l1_group_1(A_586)
| ~ v4_group_1(A_586)
| ~ v3_group_1(A_586)
| v3_struct_0(A_586) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_2481]) ).
tff(c_2698,plain,
! [A_598] :
( r1_group_2(A_598,k8_group_4(A_598,'#skF_3','#skF_4'),k5_group_4(A_598,'#skF_6'))
| ~ m1_subset_1('#skF_6',k1_zfmisc_1(u1_struct_0(A_598)))
| ~ m1_group_2('#skF_4',A_598)
| ~ m1_group_2('#skF_3',A_598)
| ~ l1_group_1(A_598)
| ~ v4_group_1(A_598)
| ~ v3_group_1(A_598)
| v3_struct_0(A_598) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_2498]) ).
tff(c_172,plain,
! [C_150,B_149,A_148] :
( ( C_150 = B_149 )
| ~ r1_group_2(A_148,B_149,C_150)
| ~ m1_group_2(C_150,A_148)
| ~ v1_group_1(C_150)
| ~ m1_group_2(B_149,A_148)
| ~ v1_group_1(B_149)
| ~ l1_group_1(A_148)
| ~ v4_group_1(A_148)
| ~ v3_group_1(A_148)
| v3_struct_0(A_148) ),
inference(cnfTransformation,[status(thm)],[f_389]) ).
tff(c_2879,plain,
! [A_622] :
( ( k8_group_4(A_622,'#skF_3','#skF_4') = k5_group_4(A_622,'#skF_6') )
| ~ m1_group_2(k5_group_4(A_622,'#skF_6'),A_622)
| ~ v1_group_1(k5_group_4(A_622,'#skF_6'))
| ~ m1_group_2(k8_group_4(A_622,'#skF_3','#skF_4'),A_622)
| ~ v1_group_1(k8_group_4(A_622,'#skF_3','#skF_4'))
| ~ m1_subset_1('#skF_6',k1_zfmisc_1(u1_struct_0(A_622)))
| ~ m1_group_2('#skF_4',A_622)
| ~ m1_group_2('#skF_3',A_622)
| ~ l1_group_1(A_622)
| ~ v4_group_1(A_622)
| ~ v3_group_1(A_622)
| v3_struct_0(A_622) ),
inference(resolution,[status(thm)],[c_2698,c_172]) ).
tff(c_3419,plain,
! [A_683] :
( ( k8_group_4(A_683,'#skF_3','#skF_4') = k5_group_4(A_683,'#skF_6') )
| ~ m1_group_2(k5_group_4(A_683,'#skF_6'),A_683)
| ~ v1_group_1(k5_group_4(A_683,'#skF_6'))
| ~ v1_group_1(k8_group_4(A_683,'#skF_3','#skF_4'))
| ~ m1_subset_1('#skF_6',k1_zfmisc_1(u1_struct_0(A_683)))
| ~ m1_group_2('#skF_4',A_683)
| ~ m1_group_2('#skF_3',A_683)
| ~ l1_group_1(A_683)
| ~ v4_group_1(A_683)
| ~ v3_group_1(A_683)
| v3_struct_0(A_683) ),
inference(resolution,[status(thm)],[c_184,c_2879]) ).
tff(c_3421,plain,
( ( k8_group_4('#skF_1','#skF_3','#skF_4') = k5_group_4('#skF_1','#skF_6') )
| ~ v1_group_1(k5_group_4('#skF_1','#skF_6'))
| ~ v1_group_1(k8_group_4('#skF_1','#skF_3','#skF_4'))
| ~ m1_subset_1('#skF_6',k1_zfmisc_1(u1_struct_0('#skF_1')))
| ~ m1_group_2('#skF_4','#skF_1')
| ~ m1_group_2('#skF_3','#skF_1')
| ~ l1_group_1('#skF_1')
| ~ v4_group_1('#skF_1')
| ~ v3_group_1('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_1587,c_3419]) ).
tff(c_3424,plain,
( ( k8_group_4('#skF_1','#skF_3','#skF_4') = k5_group_4('#skF_1','#skF_6') )
| ~ v1_group_1(k8_group_4('#skF_1','#skF_3','#skF_4'))
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_30,c_28,c_26,c_16,c_14,c_6,c_1325,c_3421]) ).
tff(c_3425,plain,
( ( k8_group_4('#skF_1','#skF_3','#skF_4') = k5_group_4('#skF_1','#skF_6') )
| ~ v1_group_1(k8_group_4('#skF_1','#skF_3','#skF_4')) ),
inference(negUnitSimplification,[status(thm)],[c_32,c_3424]) ).
tff(c_3426,plain,
~ v1_group_1(k8_group_4('#skF_1','#skF_3','#skF_4')),
inference(splitLeft,[status(thm)],[c_3425]) ).
tff(c_3429,plain,
( ~ m1_group_2('#skF_4','#skF_1')
| ~ m1_group_2('#skF_3','#skF_1')
| ~ l1_group_1('#skF_1')
| ~ v4_group_1('#skF_1')
| ~ v3_group_1('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_186,c_3426]) ).
tff(c_3432,plain,
v3_struct_0('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_30,c_28,c_26,c_16,c_14,c_3429]) ).
tff(c_3434,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_32,c_3432]) ).
tff(c_3435,plain,
k8_group_4('#skF_1','#skF_3','#skF_4') = k5_group_4('#skF_1','#skF_6'),
inference(splitRight,[status(thm)],[c_3425]) ).
tff(c_12,plain,
v1_funct_1('#skF_5'),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_8,plain,
m2_relset_1('#skF_5',u1_struct_0('#skF_1'),u1_struct_0('#skF_2')),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_529,plain,
! [C_249,A_250,B_251] :
( m1_relset_1(C_249,A_250,B_251)
| ~ m2_relset_1(C_249,A_250,B_251) ),
inference(cnfTransformation,[status(thm)],[f_368]) ).
tff(c_541,plain,
m1_relset_1('#skF_5',u1_struct_0('#skF_1'),u1_struct_0('#skF_2')),
inference(resolution,[status(thm)],[c_8,c_529]) ).
tff(c_10,plain,
v1_funct_2('#skF_5',u1_struct_0('#skF_1'),u1_struct_0('#skF_2')),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_1347,plain,
! [A_395,B_396,C_397,D_398] :
( ( k2_funct_2(A_395,B_396,C_397,D_398) = k9_relat_1(C_397,D_398) )
| ~ m1_relset_1(C_397,A_395,B_396)
| ~ v1_funct_2(C_397,A_395,B_396)
| ~ v1_funct_1(C_397) ),
inference(cnfTransformation,[status(thm)],[f_364]) ).
tff(c_1353,plain,
! [D_398] :
( ( k2_funct_2(u1_struct_0('#skF_1'),u1_struct_0('#skF_2'),'#skF_5',D_398) = k9_relat_1('#skF_5',D_398) )
| ~ m1_relset_1('#skF_5',u1_struct_0('#skF_1'),u1_struct_0('#skF_2'))
| ~ v1_funct_1('#skF_5') ),
inference(resolution,[status(thm)],[c_10,c_1347]) ).
tff(c_1360,plain,
! [D_398] : ( k2_funct_2(u1_struct_0('#skF_1'),u1_struct_0('#skF_2'),'#skF_5',D_398) = k9_relat_1('#skF_5',D_398) ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_541,c_1353]) ).
tff(c_2,plain,
k2_funct_2(u1_struct_0('#skF_1'),u1_struct_0('#skF_2'),'#skF_5',u1_struct_0(k8_group_4('#skF_1','#skF_3','#skF_4'))) != k2_funct_2(u1_struct_0('#skF_1'),u1_struct_0('#skF_2'),'#skF_5',u1_struct_0(k5_group_4('#skF_1','#skF_6'))),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_1361,plain,
k9_relat_1('#skF_5',u1_struct_0(k8_group_4('#skF_1','#skF_3','#skF_4'))) != k9_relat_1('#skF_5',u1_struct_0(k5_group_4('#skF_1','#skF_6'))),
inference(demodulation,[status(thm),theory(equality)],[c_1360,c_1360,c_2]) ).
tff(c_3441,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_3435,c_1361]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP640+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13 % 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
% 0.13/0.35 % Computer : n026.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 3 22:28:47 EDT 2023
% 0.13/0.35 % CPUTime :
% 8.77/3.07 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.77/3.08
% 8.77/3.08 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 9.06/3.11
% 9.06/3.11 Inference rules
% 9.06/3.11 ----------------------
% 9.06/3.11 #Ref : 2
% 9.06/3.11 #Sup : 712
% 9.06/3.11 #Fact : 0
% 9.06/3.11 #Define : 0
% 9.06/3.11 #Split : 8
% 9.06/3.11 #Chain : 0
% 9.06/3.11 #Close : 0
% 9.06/3.11
% 9.06/3.11 Ordering : KBO
% 9.06/3.11
% 9.06/3.11 Simplification rules
% 9.06/3.11 ----------------------
% 9.06/3.11 #Subsume : 247
% 9.06/3.11 #Demod : 141
% 9.06/3.11 #Tautology : 117
% 9.06/3.11 #SimpNegUnit : 139
% 9.06/3.11 #BackRed : 8
% 9.06/3.11
% 9.06/3.11 #Partial instantiations: 0
% 9.06/3.11 #Strategies tried : 1
% 9.06/3.11
% 9.06/3.11 Timing (in seconds)
% 9.06/3.11 ----------------------
% 9.06/3.11 Preprocessing : 0.73
% 9.06/3.11 Parsing : 0.37
% 9.06/3.11 CNF conversion : 0.07
% 9.06/3.11 Main loop : 1.24
% 9.06/3.11 Inferencing : 0.45
% 9.06/3.11 Reduction : 0.42
% 9.06/3.11 Demodulation : 0.29
% 9.06/3.11 BG Simplification : 0.05
% 9.06/3.11 Subsumption : 0.24
% 9.06/3.11 Abstraction : 0.03
% 9.06/3.11 MUC search : 0.00
% 9.06/3.11 Cooper : 0.00
% 9.06/3.11 Total : 2.03
% 9.06/3.11 Index Insertion : 0.00
% 9.06/3.11 Index Deletion : 0.00
% 9.06/3.11 Index Matching : 0.00
% 9.06/3.11 BG Taut test : 0.00
%------------------------------------------------------------------------------