TSTP Solution File: GRP645+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP645+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 : n011.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 10:41:47 EDT 2023
% Result : Theorem 42.33s 27.38s
% Output : CNFRefutation 42.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 55
% Syntax : Number of formulae : 103 ( 23 unt; 47 typ; 0 def)
% Number of atoms : 233 ( 32 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 296 ( 119 ~; 126 |; 37 &)
% ( 1 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 63 ( 38 >; 25 *; 0 +; 0 <<)
% Number of predicates : 19 ( 17 usr; 1 prp; 0-3 aty)
% Number of functors : 30 ( 30 usr; 9 con; 0-3 aty)
% Number of variables : 58 (; 58 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ v1_partfun1 > v1_funct_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 > k9_group_2 > k8_group_2 > k3_xboole_0 > k2_zfmisc_1 > k1_funct_1 > g1_group_1 > #nlpp > u1_struct_0 > u1_group_1 > k1_zfmisc_1 > k1_latsubgr > k1_group_3 > k1_xboole_0 > #skF_9 > #skF_7 > #skF_11 > #skF_18 > #skF_17 > #skF_16 > #skF_14 > #skF_15 > #skF_5 > #skF_6 > #skF_13 > #skF_2 > #skF_10 > #skF_3 > #skF_1 > #skF_8 > #skF_12 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_9',type,
'#skF_9': $i > $i ).
tff('#skF_7',type,
'#skF_7': $i > $i ).
tff('#skF_11',type,
'#skF_11': ( $i * $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(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(k8_group_2,type,
k8_group_2: ( $i * $i * $i ) > $i ).
tff(v1_partfun1,type,
v1_partfun1: ( $i * $i * $i ) > $o ).
tff(k1_xboole_0,type,
k1_xboole_0: $i ).
tff(r1_tarski,type,
r1_tarski: ( $i * $i ) > $o ).
tff(m1_relset_1,type,
m1_relset_1: ( $i * $i * $i ) > $o ).
tff('#skF_16',type,
'#skF_16': $i ).
tff('#skF_14',type,
'#skF_14': ( $i * $i ) > $i ).
tff('#skF_15',type,
'#skF_15': $i > $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('#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_10',type,
'#skF_10': ( $i * $i ) > $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff(k1_group_3,type,
k1_group_3: $i > $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff('#skF_8',type,
'#skF_8': ( $i * $i ) > $i ).
tff(k1_latsubgr,type,
k1_latsubgr: $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(v1_relat_1,type,
v1_relat_1: $i > $o ).
tff(k2_zfmisc_1,type,
k2_zfmisc_1: ( $i * $i ) > $i ).
tff(m1_group_2,type,
m1_group_2: ( $i * $i ) > $o ).
tff(v4_group_1,type,
v4_group_1: $i > $o ).
tff(k3_xboole_0,type,
k3_xboole_0: ( $i * $i ) > $i ).
tff('#skF_12',type,
'#skF_12': $i > $i ).
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(l1_group_1,type,
l1_group_1: $i > $o ).
tff(k9_group_2,type,
k9_group_2: ( $i * $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_51,negated_conjecture,
~ ! [A] :
( ( ~ v3_struct_0(A)
& v3_group_1(A)
& v4_group_1(A)
& l1_group_1(A) )
=> ! [B] :
( ( v1_group_1(B)
& m1_group_2(B,A) )
=> ! [C] :
( ( v1_group_1(C)
& m1_group_2(C,A) )
=> ( k1_funct_1(k1_latsubgr(A),k9_group_2(A,B,C)) = k3_xboole_0(k1_funct_1(k1_latsubgr(A),B),k1_funct_1(k1_latsubgr(A),C)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t24_latsubgr) ).
tff(f_386,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) )
=> ( k9_group_2(A,B,C) = k8_group_2(A,B,C) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k9_group_2) ).
tff(f_131,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) )
=> ( k9_group_2(A,B,C) = k9_group_2(A,C,B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k9_group_2) ).
tff(f_216,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(k9_group_2(A,B,C))
& m1_group_2(k9_group_2(A,B,C),A) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k9_group_2) ).
tff(f_182,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_group_1(A)
& v4_group_1(A)
& l1_group_1(A) )
=> ( v1_funct_1(k1_latsubgr(A))
& v1_funct_2(k1_latsubgr(A),k1_group_3(A),k1_zfmisc_1(u1_struct_0(A)))
& m2_relset_1(k1_latsubgr(A),k1_group_3(A),k1_zfmisc_1(u1_struct_0(A))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_latsubgr) ).
tff(f_156,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_group_1(A)
& v4_group_1(A)
& l1_group_1(A) )
=> ! [B] :
( ( v1_funct_1(B)
& v1_funct_2(B,k1_group_3(A),k1_zfmisc_1(u1_struct_0(A)))
& m2_relset_1(B,k1_group_3(A),k1_zfmisc_1(u1_struct_0(A))) )
=> ( ( B = k1_latsubgr(A) )
<=> ! [C] :
( ( v1_group_1(C)
& m1_group_2(C,A) )
=> ( k1_funct_1(B,C) = u1_struct_0(C) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_latsubgr) ).
tff(f_417,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_group_1(A)
& v4_group_1(A)
& l1_group_1(A) )
=> ! [B] :
( ( v1_group_1(B)
& m1_group_2(B,A) )
=> ! [C] :
( ( v1_group_1(C)
& m1_group_2(C,A) )
=> ( u1_struct_0(k9_group_2(A,B,C)) = k3_xboole_0(k1_funct_1(k1_latsubgr(A),B),k1_funct_1(k1_latsubgr(A),C)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_latsubgr) ).
tff(f_116,axiom,
! [A,B] : ( k3_xboole_0(A,B) = k3_xboole_0(B,A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
tff(c_18,plain,
~ v3_struct_0('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_16,plain,
v3_group_1('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_14,plain,
v4_group_1('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_12,plain,
l1_group_1('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_4,plain,
m1_group_2('#skF_3','#skF_1'),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_8,plain,
m1_group_2('#skF_2','#skF_1'),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_1598,plain,
! [A_392,B_393,C_394] :
( ( k9_group_2(A_392,B_393,C_394) = k8_group_2(A_392,B_393,C_394) )
| ~ m1_group_2(C_394,A_392)
| ~ m1_group_2(B_393,A_392)
| ~ l1_group_1(A_392)
| ~ v4_group_1(A_392)
| ~ v3_group_1(A_392)
| v3_struct_0(A_392) ),
inference(cnfTransformation,[status(thm)],[f_386]) ).
tff(c_1610,plain,
! [B_393] :
( ( k9_group_2('#skF_1',B_393,'#skF_2') = k8_group_2('#skF_1',B_393,'#skF_2') )
| ~ m1_group_2(B_393,'#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_8,c_1598]) ).
tff(c_1626,plain,
! [B_393] :
( ( k9_group_2('#skF_1',B_393,'#skF_2') = k8_group_2('#skF_1',B_393,'#skF_2') )
| ~ m1_group_2(B_393,'#skF_1')
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_14,c_12,c_1610]) ).
tff(c_1632,plain,
! [B_395] :
( ( k9_group_2('#skF_1',B_395,'#skF_2') = k8_group_2('#skF_1',B_395,'#skF_2') )
| ~ m1_group_2(B_395,'#skF_1') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_1626]) ).
tff(c_1672,plain,
k9_group_2('#skF_1','#skF_3','#skF_2') = k8_group_2('#skF_1','#skF_3','#skF_2'),
inference(resolution,[status(thm)],[c_4,c_1632]) ).
tff(c_1426,plain,
! [A_384,C_385,B_386] :
( ( k9_group_2(A_384,C_385,B_386) = k9_group_2(A_384,B_386,C_385) )
| ~ m1_group_2(C_385,A_384)
| ~ m1_group_2(B_386,A_384)
| ~ l1_group_1(A_384)
| ~ v4_group_1(A_384)
| ~ v3_group_1(A_384)
| v3_struct_0(A_384) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_1434,plain,
! [B_386] :
( ( k9_group_2('#skF_1',B_386,'#skF_2') = k9_group_2('#skF_1','#skF_2',B_386) )
| ~ m1_group_2(B_386,'#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_8,c_1426]) ).
tff(c_1442,plain,
! [B_386] :
( ( k9_group_2('#skF_1',B_386,'#skF_2') = k9_group_2('#skF_1','#skF_2',B_386) )
| ~ m1_group_2(B_386,'#skF_1')
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_14,c_12,c_1434]) ).
tff(c_1448,plain,
! [B_387] :
( ( k9_group_2('#skF_1',B_387,'#skF_2') = k9_group_2('#skF_1','#skF_2',B_387) )
| ~ m1_group_2(B_387,'#skF_1') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_1442]) ).
tff(c_1481,plain,
k9_group_2('#skF_1','#skF_2','#skF_3') = k9_group_2('#skF_1','#skF_3','#skF_2'),
inference(resolution,[status(thm)],[c_4,c_1448]) ).
tff(c_84,plain,
! [A_43,B_44,C_45] :
( v1_group_1(k9_group_2(A_43,B_44,C_45))
| ~ m1_group_2(C_45,A_43)
| ~ m1_group_2(B_44,A_43)
| ~ l1_group_1(A_43)
| ~ v4_group_1(A_43)
| ~ v3_group_1(A_43)
| v3_struct_0(A_43) ),
inference(cnfTransformation,[status(thm)],[f_216]) ).
tff(c_1489,plain,
( v1_group_1(k9_group_2('#skF_1','#skF_3','#skF_2'))
| ~ m1_group_2('#skF_3','#skF_1')
| ~ m1_group_2('#skF_2','#skF_1')
| ~ l1_group_1('#skF_1')
| ~ v4_group_1('#skF_1')
| ~ v3_group_1('#skF_1')
| v3_struct_0('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_1481,c_84]) ).
tff(c_1496,plain,
( v1_group_1(k9_group_2('#skF_1','#skF_3','#skF_2'))
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_14,c_12,c_8,c_4,c_1489]) ).
tff(c_1497,plain,
v1_group_1(k9_group_2('#skF_1','#skF_3','#skF_2')),
inference(negUnitSimplification,[status(thm)],[c_18,c_1496]) ).
tff(c_1734,plain,
v1_group_1(k8_group_2('#skF_1','#skF_3','#skF_2')),
inference(demodulation,[status(thm),theory(equality)],[c_1672,c_1497]) ).
tff(c_82,plain,
! [A_43,B_44,C_45] :
( m1_group_2(k9_group_2(A_43,B_44,C_45),A_43)
| ~ m1_group_2(C_45,A_43)
| ~ m1_group_2(B_44,A_43)
| ~ l1_group_1(A_43)
| ~ v4_group_1(A_43)
| ~ v3_group_1(A_43)
| v3_struct_0(A_43) ),
inference(cnfTransformation,[status(thm)],[f_216]) ).
tff(c_1739,plain,
( m1_group_2(k8_group_2('#skF_1','#skF_3','#skF_2'),'#skF_1')
| ~ m1_group_2('#skF_2','#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(superposition,[status(thm),theory(equality)],[c_1672,c_82]) ).
tff(c_1746,plain,
( m1_group_2(k8_group_2('#skF_1','#skF_3','#skF_2'),'#skF_1')
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_14,c_12,c_4,c_8,c_1739]) ).
tff(c_1747,plain,
m1_group_2(k8_group_2('#skF_1','#skF_3','#skF_2'),'#skF_1'),
inference(negUnitSimplification,[status(thm)],[c_18,c_1746]) ).
tff(c_68,plain,
! [A_39] :
( v1_funct_1(k1_latsubgr(A_39))
| ~ l1_group_1(A_39)
| ~ v4_group_1(A_39)
| ~ v3_group_1(A_39)
| v3_struct_0(A_39) ),
inference(cnfTransformation,[status(thm)],[f_182]) ).
tff(c_64,plain,
! [A_39] :
( m2_relset_1(k1_latsubgr(A_39),k1_group_3(A_39),k1_zfmisc_1(u1_struct_0(A_39)))
| ~ l1_group_1(A_39)
| ~ v4_group_1(A_39)
| ~ v3_group_1(A_39)
| v3_struct_0(A_39) ),
inference(cnfTransformation,[status(thm)],[f_182]) ).
tff(c_66,plain,
! [A_39] :
( v1_funct_2(k1_latsubgr(A_39),k1_group_3(A_39),k1_zfmisc_1(u1_struct_0(A_39)))
| ~ l1_group_1(A_39)
| ~ v4_group_1(A_39)
| ~ v3_group_1(A_39)
| v3_struct_0(A_39) ),
inference(cnfTransformation,[status(thm)],[f_182]) ).
tff(c_2278,plain,
! [A_411,C_412] :
( ( k1_funct_1(k1_latsubgr(A_411),C_412) = u1_struct_0(C_412) )
| ~ m1_group_2(C_412,A_411)
| ~ v1_group_1(C_412)
| ~ m2_relset_1(k1_latsubgr(A_411),k1_group_3(A_411),k1_zfmisc_1(u1_struct_0(A_411)))
| ~ v1_funct_2(k1_latsubgr(A_411),k1_group_3(A_411),k1_zfmisc_1(u1_struct_0(A_411)))
| ~ v1_funct_1(k1_latsubgr(A_411))
| ~ l1_group_1(A_411)
| ~ v4_group_1(A_411)
| ~ v3_group_1(A_411)
| v3_struct_0(A_411) ),
inference(cnfTransformation,[status(thm)],[f_156]) ).
tff(c_5811,plain,
! [A_490,C_491] :
( ( k1_funct_1(k1_latsubgr(A_490),C_491) = u1_struct_0(C_491) )
| ~ m1_group_2(C_491,A_490)
| ~ v1_group_1(C_491)
| ~ m2_relset_1(k1_latsubgr(A_490),k1_group_3(A_490),k1_zfmisc_1(u1_struct_0(A_490)))
| ~ v1_funct_1(k1_latsubgr(A_490))
| ~ l1_group_1(A_490)
| ~ v4_group_1(A_490)
| ~ v3_group_1(A_490)
| v3_struct_0(A_490) ),
inference(resolution,[status(thm)],[c_66,c_2278]) ).
tff(c_13654,plain,
! [A_571,C_572] :
( ( k1_funct_1(k1_latsubgr(A_571),C_572) = u1_struct_0(C_572) )
| ~ m1_group_2(C_572,A_571)
| ~ v1_group_1(C_572)
| ~ v1_funct_1(k1_latsubgr(A_571))
| ~ l1_group_1(A_571)
| ~ v4_group_1(A_571)
| ~ v3_group_1(A_571)
| v3_struct_0(A_571) ),
inference(resolution,[status(thm)],[c_64,c_5811]) ).
tff(c_73873,plain,
! [A_887,C_888] :
( ( k1_funct_1(k1_latsubgr(A_887),C_888) = u1_struct_0(C_888) )
| ~ m1_group_2(C_888,A_887)
| ~ v1_group_1(C_888)
| ~ l1_group_1(A_887)
| ~ v4_group_1(A_887)
| ~ v3_group_1(A_887)
| v3_struct_0(A_887) ),
inference(resolution,[status(thm)],[c_68,c_13654]) ).
tff(c_10,plain,
v1_group_1('#skF_2'),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_6,plain,
v1_group_1('#skF_3'),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_1735,plain,
k9_group_2('#skF_1','#skF_2','#skF_3') = k8_group_2('#skF_1','#skF_3','#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_1672,c_1481]) ).
tff(c_1911,plain,
! [A_402,B_403,C_404] :
( ( k3_xboole_0(k1_funct_1(k1_latsubgr(A_402),B_403),k1_funct_1(k1_latsubgr(A_402),C_404)) = u1_struct_0(k9_group_2(A_402,B_403,C_404)) )
| ~ m1_group_2(C_404,A_402)
| ~ v1_group_1(C_404)
| ~ m1_group_2(B_403,A_402)
| ~ v1_group_1(B_403)
| ~ l1_group_1(A_402)
| ~ v4_group_1(A_402)
| ~ v3_group_1(A_402)
| v3_struct_0(A_402) ),
inference(cnfTransformation,[status(thm)],[f_417]) ).
tff(c_44,plain,
! [B_23,A_22] : ( k3_xboole_0(B_23,A_22) = k3_xboole_0(A_22,B_23) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_1917,plain,
! [A_402,C_404,B_403] :
( ( k3_xboole_0(k1_funct_1(k1_latsubgr(A_402),C_404),k1_funct_1(k1_latsubgr(A_402),B_403)) = u1_struct_0(k9_group_2(A_402,B_403,C_404)) )
| ~ m1_group_2(C_404,A_402)
| ~ v1_group_1(C_404)
| ~ m1_group_2(B_403,A_402)
| ~ v1_group_1(B_403)
| ~ l1_group_1(A_402)
| ~ v4_group_1(A_402)
| ~ v3_group_1(A_402)
| v3_struct_0(A_402) ),
inference(superposition,[status(thm),theory(equality)],[c_1911,c_44]) ).
tff(c_2,plain,
k3_xboole_0(k1_funct_1(k1_latsubgr('#skF_1'),'#skF_2'),k1_funct_1(k1_latsubgr('#skF_1'),'#skF_3')) != k1_funct_1(k1_latsubgr('#skF_1'),k9_group_2('#skF_1','#skF_2','#skF_3')),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_201,plain,
k3_xboole_0(k1_funct_1(k1_latsubgr('#skF_1'),'#skF_3'),k1_funct_1(k1_latsubgr('#skF_1'),'#skF_2')) != k1_funct_1(k1_latsubgr('#skF_1'),k9_group_2('#skF_1','#skF_2','#skF_3')),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2]) ).
tff(c_1482,plain,
k3_xboole_0(k1_funct_1(k1_latsubgr('#skF_1'),'#skF_3'),k1_funct_1(k1_latsubgr('#skF_1'),'#skF_2')) != k1_funct_1(k1_latsubgr('#skF_1'),k9_group_2('#skF_1','#skF_3','#skF_2')),
inference(demodulation,[status(thm),theory(equality)],[c_1481,c_201]) ).
tff(c_10029,plain,
k3_xboole_0(k1_funct_1(k1_latsubgr('#skF_1'),'#skF_3'),k1_funct_1(k1_latsubgr('#skF_1'),'#skF_2')) != k1_funct_1(k1_latsubgr('#skF_1'),k8_group_2('#skF_1','#skF_3','#skF_2')),
inference(demodulation,[status(thm),theory(equality)],[c_1672,c_1482]) ).
tff(c_10032,plain,
( ( k1_funct_1(k1_latsubgr('#skF_1'),k8_group_2('#skF_1','#skF_3','#skF_2')) != u1_struct_0(k9_group_2('#skF_1','#skF_2','#skF_3')) )
| ~ m1_group_2('#skF_3','#skF_1')
| ~ v1_group_1('#skF_3')
| ~ m1_group_2('#skF_2','#skF_1')
| ~ v1_group_1('#skF_2')
| ~ l1_group_1('#skF_1')
| ~ v4_group_1('#skF_1')
| ~ v3_group_1('#skF_1')
| v3_struct_0('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_1917,c_10029]) ).
tff(c_10043,plain,
( ( k1_funct_1(k1_latsubgr('#skF_1'),k8_group_2('#skF_1','#skF_3','#skF_2')) != u1_struct_0(k8_group_2('#skF_1','#skF_3','#skF_2')) )
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_14,c_12,c_10,c_8,c_6,c_4,c_1735,c_10032]) ).
tff(c_10044,plain,
k1_funct_1(k1_latsubgr('#skF_1'),k8_group_2('#skF_1','#skF_3','#skF_2')) != u1_struct_0(k8_group_2('#skF_1','#skF_3','#skF_2')),
inference(negUnitSimplification,[status(thm)],[c_18,c_10043]) ).
tff(c_73980,plain,
( ~ m1_group_2(k8_group_2('#skF_1','#skF_3','#skF_2'),'#skF_1')
| ~ v1_group_1(k8_group_2('#skF_1','#skF_3','#skF_2'))
| ~ l1_group_1('#skF_1')
| ~ v4_group_1('#skF_1')
| ~ v3_group_1('#skF_1')
| v3_struct_0('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_73873,c_10044]) ).
tff(c_74056,plain,
v3_struct_0('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_14,c_12,c_1734,c_1747,c_73980]) ).
tff(c_74058,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_18,c_74056]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : GRP645+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
% 0.15/0.37 % Computer : n011.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Thu Aug 3 22:12:36 EDT 2023
% 0.15/0.37 % CPUTime :
% 42.33/27.38 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 42.33/27.39
% 42.33/27.39 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 42.33/27.43
% 42.33/27.43 Inference rules
% 42.33/27.43 ----------------------
% 42.33/27.43 #Ref : 6
% 42.33/27.43 #Sup : 14341
% 42.33/27.43 #Fact : 0
% 42.33/27.43 #Define : 0
% 42.33/27.43 #Split : 14
% 42.33/27.43 #Chain : 0
% 42.33/27.43 #Close : 0
% 42.33/27.43
% 42.33/27.43 Ordering : KBO
% 42.33/27.43
% 42.33/27.43 Simplification rules
% 42.33/27.43 ----------------------
% 42.33/27.43 #Subsume : 1373
% 42.33/27.43 #Demod : 51892
% 42.33/27.43 #Tautology : 2558
% 42.33/27.43 #SimpNegUnit : 6473
% 42.33/27.43 #BackRed : 202
% 42.33/27.43
% 42.33/27.43 #Partial instantiations: 0
% 42.33/27.43 #Strategies tried : 1
% 42.33/27.43
% 42.33/27.43 Timing (in seconds)
% 42.33/27.43 ----------------------
% 42.33/27.43 Preprocessing : 0.73
% 42.33/27.43 Parsing : 0.37
% 42.33/27.43 CNF conversion : 0.07
% 42.33/27.43 Main loop : 25.58
% 42.33/27.43 Inferencing : 3.47
% 42.33/27.43 Reduction : 17.38
% 42.33/27.43 Demodulation : 16.03
% 42.33/27.43 BG Simplification : 0.36
% 42.33/27.43 Subsumption : 3.74
% 42.33/27.43 Abstraction : 0.57
% 42.33/27.43 MUC search : 0.00
% 42.33/27.43 Cooper : 0.00
% 42.33/27.43 Total : 26.37
% 42.33/27.43 Index Insertion : 0.00
% 42.33/27.43 Index Deletion : 0.00
% 42.33/27.43 Index Matching : 0.00
% 42.33/27.43 BG Taut test : 0.00
%------------------------------------------------------------------------------