TSTP Solution File: GRP641+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP641+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 : n024.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 12.11s 3.98s
% Output : CNFRefutation 12.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 58
% Syntax : Number of formulae : 141 ( 31 unt; 44 typ; 0 def)
% Number of atoms : 313 ( 28 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 371 ( 155 ~; 172 |; 25 &)
% ( 2 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 56 ( 36 >; 20 *; 0 +; 0 <<)
% Number of predicates : 19 ( 17 usr; 1 prp; 0-3 aty)
% Number of functors : 27 ( 27 usr; 8 con; 0-2 aty)
% Number of variables : 90 (; 89 !; 1 ?; 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 > k2_zfmisc_1 > k1_funct_1 > g1_group_1 > #nlpp > u1_struct_0 > u1_group_1 > k2_group_1 > k1_zfmisc_1 > k1_latsubgr > k1_group_3 > k1_xboole_0 > #skF_15 > #skF_8 > #skF_3 > #skF_13 > #skF_16 > #skF_5 > #skF_2 > #skF_10 > #skF_1 > #skF_4 > #skF_17 > #skF_11 > #skF_14 > #skF_7 > #skF_9 > #skF_6 > #skF_12
%Foreground sorts:
%Background operators:
%Foreground operators:
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(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(k1_xboole_0,type,
k1_xboole_0: $i ).
tff('#skF_8',type,
'#skF_8': $i > $i ).
tff('#skF_3',type,
'#skF_3': ( $i * $i ) > $i ).
tff('#skF_13',type,
'#skF_13': ( $i * $i ) > $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_5',type,
'#skF_5': $i ).
tff(v1_funct_2,type,
v1_funct_2: ( $i * $i * $i ) > $o ).
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(k1_group_3,type,
k1_group_3: $i > $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(k2_group_1,type,
k2_group_1: $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('#skF_4',type,
'#skF_4': $i ).
tff('#skF_17',type,
'#skF_17': $i > $i ).
tff('#skF_11',type,
'#skF_11': $i > $i ).
tff(m1_group_2,type,
m1_group_2: ( $i * $i ) > $o ).
tff('#skF_14',type,
'#skF_14': $i > $i ).
tff(v4_group_1,type,
v4_group_1: $i > $o ).
tff(g1_group_1,type,
g1_group_1: ( $i * $i ) > $i ).
tff('#skF_7',type,
'#skF_7': ( $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_6',type,
'#skF_6': $i > $i ).
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_289,axiom,
? [A] : v1_xboole_0(A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_xboole_0) ).
tff(f_46,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) )
=> r2_hidden(k2_group_1(A),k1_funct_1(k1_latsubgr(A),B)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t19_latsubgr) ).
tff(f_160,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_134,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_188,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_group_1(A)
& l1_group_1(A) )
=> ! [B] :
( m1_group_2(B,A)
=> ( ~ v3_struct_0(B)
& v3_group_1(B)
& l1_group_1(B) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_group_2) ).
tff(f_360,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_group_1(A)
& v4_group_1(A)
& l1_group_1(A) )
=> ! [B] :
( m1_group_2(B,A)
=> ( k2_group_1(B) = k2_group_1(A) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t53_group_2) ).
tff(f_167,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& l1_group_1(A) )
=> m1_subset_1(k2_group_1(A),u1_struct_0(A)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_group_1) ).
tff(f_336,axiom,
! [A,B] :
( m1_subset_1(A,B)
=> ( v1_xboole_0(B)
| r2_hidden(A,B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
tff(f_371,axiom,
! [A] :
( v1_xboole_0(A)
=> ( A = k1_xboole_0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
tff(f_171,axiom,
! [A] :
( l1_group_1(A)
=> l1_struct_0(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_group_1) ).
tff(f_324,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_192,axiom,
! [A,B,C] :
( m2_relset_1(C,A,B)
=> m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_relset_1) ).
tff(f_346,axiom,
! [A,B,C] :
( ( r2_hidden(A,B)
& m1_subset_1(B,k1_zfmisc_1(C)) )
=> m1_subset_1(A,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
tff(f_243,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(c_132,plain,
v1_xboole_0('#skF_12'),
inference(cnfTransformation,[status(thm)],[f_289]) ).
tff(c_14,plain,
~ v3_struct_0('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_12,plain,
v3_group_1('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_10,plain,
v4_group_1('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_8,plain,
l1_group_1('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_6,plain,
v1_group_1('#skF_2'),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_4,plain,
m1_group_2('#skF_2','#skF_1'),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_60,plain,
! [A_31] :
( v1_funct_1(k1_latsubgr(A_31))
| ~ l1_group_1(A_31)
| ~ v4_group_1(A_31)
| ~ v3_group_1(A_31)
| v3_struct_0(A_31) ),
inference(cnfTransformation,[status(thm)],[f_160]) ).
tff(c_56,plain,
! [A_31] :
( m2_relset_1(k1_latsubgr(A_31),k1_group_3(A_31),k1_zfmisc_1(u1_struct_0(A_31)))
| ~ l1_group_1(A_31)
| ~ v4_group_1(A_31)
| ~ v3_group_1(A_31)
| v3_struct_0(A_31) ),
inference(cnfTransformation,[status(thm)],[f_160]) ).
tff(c_58,plain,
! [A_31] :
( v1_funct_2(k1_latsubgr(A_31),k1_group_3(A_31),k1_zfmisc_1(u1_struct_0(A_31)))
| ~ l1_group_1(A_31)
| ~ v4_group_1(A_31)
| ~ v3_group_1(A_31)
| v3_struct_0(A_31) ),
inference(cnfTransformation,[status(thm)],[f_160]) ).
tff(c_7551,plain,
! [A_850,C_851] :
( ( k1_funct_1(k1_latsubgr(A_850),C_851) = u1_struct_0(C_851) )
| ~ m1_group_2(C_851,A_850)
| ~ v1_group_1(C_851)
| ~ m2_relset_1(k1_latsubgr(A_850),k1_group_3(A_850),k1_zfmisc_1(u1_struct_0(A_850)))
| ~ v1_funct_2(k1_latsubgr(A_850),k1_group_3(A_850),k1_zfmisc_1(u1_struct_0(A_850)))
| ~ v1_funct_1(k1_latsubgr(A_850))
| ~ l1_group_1(A_850)
| ~ v4_group_1(A_850)
| ~ v3_group_1(A_850)
| v3_struct_0(A_850) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_8480,plain,
! [A_915,C_916] :
( ( k1_funct_1(k1_latsubgr(A_915),C_916) = u1_struct_0(C_916) )
| ~ m1_group_2(C_916,A_915)
| ~ v1_group_1(C_916)
| ~ m2_relset_1(k1_latsubgr(A_915),k1_group_3(A_915),k1_zfmisc_1(u1_struct_0(A_915)))
| ~ v1_funct_1(k1_latsubgr(A_915))
| ~ l1_group_1(A_915)
| ~ v4_group_1(A_915)
| ~ v3_group_1(A_915)
| v3_struct_0(A_915) ),
inference(resolution,[status(thm)],[c_58,c_7551]) ).
tff(c_9139,plain,
! [A_990,C_991] :
( ( k1_funct_1(k1_latsubgr(A_990),C_991) = u1_struct_0(C_991) )
| ~ m1_group_2(C_991,A_990)
| ~ v1_group_1(C_991)
| ~ v1_funct_1(k1_latsubgr(A_990))
| ~ l1_group_1(A_990)
| ~ v4_group_1(A_990)
| ~ v3_group_1(A_990)
| v3_struct_0(A_990) ),
inference(resolution,[status(thm)],[c_56,c_8480]) ).
tff(c_12149,plain,
! [A_1065,C_1066] :
( ( k1_funct_1(k1_latsubgr(A_1065),C_1066) = u1_struct_0(C_1066) )
| ~ m1_group_2(C_1066,A_1065)
| ~ v1_group_1(C_1066)
| ~ l1_group_1(A_1065)
| ~ v4_group_1(A_1065)
| ~ v3_group_1(A_1065)
| v3_struct_0(A_1065) ),
inference(resolution,[status(thm)],[c_60,c_9139]) ).
tff(c_550,plain,
! [B_219,A_220] :
( ~ v3_struct_0(B_219)
| ~ m1_group_2(B_219,A_220)
| ~ l1_group_1(A_220)
| ~ v3_group_1(A_220)
| v3_struct_0(A_220) ),
inference(cnfTransformation,[status(thm)],[f_188]) ).
tff(c_556,plain,
( ~ v3_struct_0('#skF_2')
| ~ l1_group_1('#skF_1')
| ~ v3_group_1('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_4,c_550]) ).
tff(c_560,plain,
( ~ v3_struct_0('#skF_2')
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_8,c_556]) ).
tff(c_561,plain,
~ v3_struct_0('#skF_2'),
inference(negUnitSimplification,[status(thm)],[c_14,c_560]) ).
tff(c_588,plain,
! [B_232,A_233] :
( l1_group_1(B_232)
| ~ m1_group_2(B_232,A_233)
| ~ l1_group_1(A_233)
| ~ v3_group_1(A_233)
| v3_struct_0(A_233) ),
inference(cnfTransformation,[status(thm)],[f_188]) ).
tff(c_594,plain,
( l1_group_1('#skF_2')
| ~ l1_group_1('#skF_1')
| ~ v3_group_1('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_4,c_588]) ).
tff(c_598,plain,
( l1_group_1('#skF_2')
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_8,c_594]) ).
tff(c_599,plain,
l1_group_1('#skF_2'),
inference(negUnitSimplification,[status(thm)],[c_14,c_598]) ).
tff(c_840,plain,
! [B_268,A_269] :
( ( k2_group_1(B_268) = k2_group_1(A_269) )
| ~ m1_group_2(B_268,A_269)
| ~ l1_group_1(A_269)
| ~ v4_group_1(A_269)
| ~ v3_group_1(A_269)
| v3_struct_0(A_269) ),
inference(cnfTransformation,[status(thm)],[f_360]) ).
tff(c_846,plain,
( ( k2_group_1('#skF_2') = k2_group_1('#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_4,c_840]) ).
tff(c_850,plain,
( ( k2_group_1('#skF_2') = k2_group_1('#skF_1') )
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_10,c_8,c_846]) ).
tff(c_851,plain,
k2_group_1('#skF_2') = k2_group_1('#skF_1'),
inference(negUnitSimplification,[status(thm)],[c_14,c_850]) ).
tff(c_66,plain,
! [A_32] :
( m1_subset_1(k2_group_1(A_32),u1_struct_0(A_32))
| ~ l1_group_1(A_32)
| v3_struct_0(A_32) ),
inference(cnfTransformation,[status(thm)],[f_167]) ).
tff(c_855,plain,
( m1_subset_1(k2_group_1('#skF_1'),u1_struct_0('#skF_2'))
| ~ l1_group_1('#skF_2')
| v3_struct_0('#skF_2') ),
inference(superposition,[status(thm),theory(equality)],[c_851,c_66]) ).
tff(c_859,plain,
( m1_subset_1(k2_group_1('#skF_1'),u1_struct_0('#skF_2'))
| v3_struct_0('#skF_2') ),
inference(demodulation,[status(thm),theory(equality)],[c_599,c_855]) ).
tff(c_860,plain,
m1_subset_1(k2_group_1('#skF_1'),u1_struct_0('#skF_2')),
inference(negUnitSimplification,[status(thm)],[c_561,c_859]) ).
tff(c_1471,plain,
! [A_391,C_392] :
( ( k1_funct_1(k1_latsubgr(A_391),C_392) = u1_struct_0(C_392) )
| ~ m1_group_2(C_392,A_391)
| ~ v1_group_1(C_392)
| ~ m2_relset_1(k1_latsubgr(A_391),k1_group_3(A_391),k1_zfmisc_1(u1_struct_0(A_391)))
| ~ v1_funct_2(k1_latsubgr(A_391),k1_group_3(A_391),k1_zfmisc_1(u1_struct_0(A_391)))
| ~ v1_funct_1(k1_latsubgr(A_391))
| ~ l1_group_1(A_391)
| ~ v4_group_1(A_391)
| ~ v3_group_1(A_391)
| v3_struct_0(A_391) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_2400,plain,
! [A_467,C_468] :
( ( k1_funct_1(k1_latsubgr(A_467),C_468) = u1_struct_0(C_468) )
| ~ m1_group_2(C_468,A_467)
| ~ v1_group_1(C_468)
| ~ m2_relset_1(k1_latsubgr(A_467),k1_group_3(A_467),k1_zfmisc_1(u1_struct_0(A_467)))
| ~ v1_funct_1(k1_latsubgr(A_467))
| ~ l1_group_1(A_467)
| ~ v4_group_1(A_467)
| ~ v3_group_1(A_467)
| v3_struct_0(A_467) ),
inference(resolution,[status(thm)],[c_58,c_1471]) ).
tff(c_3089,plain,
! [A_540,C_541] :
( ( k1_funct_1(k1_latsubgr(A_540),C_541) = u1_struct_0(C_541) )
| ~ m1_group_2(C_541,A_540)
| ~ v1_group_1(C_541)
| ~ v1_funct_1(k1_latsubgr(A_540))
| ~ l1_group_1(A_540)
| ~ v4_group_1(A_540)
| ~ v3_group_1(A_540)
| v3_struct_0(A_540) ),
inference(resolution,[status(thm)],[c_56,c_2400]) ).
tff(c_6312,plain,
! [A_615,C_616] :
( ( k1_funct_1(k1_latsubgr(A_615),C_616) = u1_struct_0(C_616) )
| ~ m1_group_2(C_616,A_615)
| ~ v1_group_1(C_616)
| ~ l1_group_1(A_615)
| ~ v4_group_1(A_615)
| ~ v3_group_1(A_615)
| v3_struct_0(A_615) ),
inference(resolution,[status(thm)],[c_60,c_3089]) ).
tff(c_319,plain,
! [A_163,B_164] :
( r2_hidden(A_163,B_164)
| v1_xboole_0(B_164)
| ~ m1_subset_1(A_163,B_164) ),
inference(cnfTransformation,[status(thm)],[f_336]) ).
tff(c_2,plain,
~ r2_hidden(k2_group_1('#skF_1'),k1_funct_1(k1_latsubgr('#skF_1'),'#skF_2')),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_334,plain,
( v1_xboole_0(k1_funct_1(k1_latsubgr('#skF_1'),'#skF_2'))
| ~ m1_subset_1(k2_group_1('#skF_1'),k1_funct_1(k1_latsubgr('#skF_1'),'#skF_2')) ),
inference(resolution,[status(thm)],[c_319,c_2]) ).
tff(c_346,plain,
~ m1_subset_1(k2_group_1('#skF_1'),k1_funct_1(k1_latsubgr('#skF_1'),'#skF_2')),
inference(splitLeft,[status(thm)],[c_334]) ).
tff(c_6321,plain,
( ~ m1_subset_1(k2_group_1('#skF_1'),u1_struct_0('#skF_2'))
| ~ 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_6312,c_346]) ).
tff(c_6331,plain,
v3_struct_0('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_10,c_8,c_6,c_4,c_860,c_6321]) ).
tff(c_6333,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14,c_6331]) ).
tff(c_6334,plain,
v1_xboole_0(k1_funct_1(k1_latsubgr('#skF_1'),'#skF_2')),
inference(splitRight,[status(thm)],[c_334]) ).
tff(c_186,plain,
! [A_109] :
( ( k1_xboole_0 = A_109 )
| ~ v1_xboole_0(A_109) ),
inference(cnfTransformation,[status(thm)],[f_371]) ).
tff(c_197,plain,
k1_xboole_0 = '#skF_12',
inference(resolution,[status(thm)],[c_132,c_186]) ).
tff(c_174,plain,
! [A_94] :
( ( k1_xboole_0 = A_94 )
| ~ v1_xboole_0(A_94) ),
inference(cnfTransformation,[status(thm)],[f_371]) ).
tff(c_200,plain,
! [A_94] :
( ( A_94 = '#skF_12' )
| ~ v1_xboole_0(A_94) ),
inference(demodulation,[status(thm),theory(equality)],[c_197,c_174]) ).
tff(c_6342,plain,
k1_funct_1(k1_latsubgr('#skF_1'),'#skF_2') = '#skF_12',
inference(resolution,[status(thm)],[c_6334,c_200]) ).
tff(c_12158,plain,
( ( u1_struct_0('#skF_2') = '#skF_12' )
| ~ 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_12149,c_6342]) ).
tff(c_12168,plain,
( ( u1_struct_0('#skF_2') = '#skF_12' )
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_10,c_8,c_6,c_4,c_12158]) ).
tff(c_12169,plain,
u1_struct_0('#skF_2') = '#skF_12',
inference(negUnitSimplification,[status(thm)],[c_14,c_12168]) ).
tff(c_6564,plain,
! [B_665,A_666] :
( l1_group_1(B_665)
| ~ m1_group_2(B_665,A_666)
| ~ l1_group_1(A_666)
| ~ v3_group_1(A_666)
| v3_struct_0(A_666) ),
inference(cnfTransformation,[status(thm)],[f_188]) ).
tff(c_6570,plain,
( l1_group_1('#skF_2')
| ~ l1_group_1('#skF_1')
| ~ v3_group_1('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_4,c_6564]) ).
tff(c_6574,plain,
( l1_group_1('#skF_2')
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_8,c_6570]) ).
tff(c_6575,plain,
l1_group_1('#skF_2'),
inference(negUnitSimplification,[status(thm)],[c_14,c_6574]) ).
tff(c_70,plain,
! [A_33] :
( l1_struct_0(A_33)
| ~ l1_group_1(A_33) ),
inference(cnfTransformation,[status(thm)],[f_171]) ).
tff(c_6615,plain,
! [B_681,A_682] :
( ~ v3_struct_0(B_681)
| ~ m1_group_2(B_681,A_682)
| ~ l1_group_1(A_682)
| ~ v3_group_1(A_682)
| v3_struct_0(A_682) ),
inference(cnfTransformation,[status(thm)],[f_188]) ).
tff(c_6621,plain,
( ~ v3_struct_0('#skF_2')
| ~ l1_group_1('#skF_1')
| ~ v3_group_1('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_4,c_6615]) ).
tff(c_6625,plain,
( ~ v3_struct_0('#skF_2')
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_8,c_6621]) ).
tff(c_6626,plain,
~ v3_struct_0('#skF_2'),
inference(negUnitSimplification,[status(thm)],[c_14,c_6625]) ).
tff(c_6854,plain,
! [B_714,A_715] :
( ( k2_group_1(B_714) = k2_group_1(A_715) )
| ~ m1_group_2(B_714,A_715)
| ~ l1_group_1(A_715)
| ~ v4_group_1(A_715)
| ~ v3_group_1(A_715)
| v3_struct_0(A_715) ),
inference(cnfTransformation,[status(thm)],[f_360]) ).
tff(c_6860,plain,
( ( k2_group_1('#skF_2') = k2_group_1('#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_4,c_6854]) ).
tff(c_6864,plain,
( ( k2_group_1('#skF_2') = k2_group_1('#skF_1') )
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_10,c_8,c_6860]) ).
tff(c_6865,plain,
k2_group_1('#skF_2') = k2_group_1('#skF_1'),
inference(negUnitSimplification,[status(thm)],[c_14,c_6864]) ).
tff(c_6869,plain,
( m1_subset_1(k2_group_1('#skF_1'),u1_struct_0('#skF_2'))
| ~ l1_group_1('#skF_2')
| v3_struct_0('#skF_2') ),
inference(superposition,[status(thm),theory(equality)],[c_6865,c_66]) ).
tff(c_6873,plain,
( m1_subset_1(k2_group_1('#skF_1'),u1_struct_0('#skF_2'))
| v3_struct_0('#skF_2') ),
inference(demodulation,[status(thm),theory(equality)],[c_6575,c_6869]) ).
tff(c_6874,plain,
m1_subset_1(k2_group_1('#skF_1'),u1_struct_0('#skF_2')),
inference(negUnitSimplification,[status(thm)],[c_6626,c_6873]) ).
tff(c_156,plain,
! [C_76,A_74,B_75] :
( m2_relset_1(C_76,A_74,B_75)
| ~ m1_relset_1(C_76,A_74,B_75) ),
inference(cnfTransformation,[status(thm)],[f_324]) ).
tff(c_162,plain,
! [A_81,B_82] :
( r2_hidden(A_81,B_82)
| v1_xboole_0(B_82)
| ~ m1_subset_1(A_81,B_82) ),
inference(cnfTransformation,[status(thm)],[f_336]) ).
tff(c_84,plain,
! [C_39,A_37,B_38] :
( m1_subset_1(C_39,k1_zfmisc_1(k2_zfmisc_1(A_37,B_38)))
| ~ m2_relset_1(C_39,A_37,B_38) ),
inference(cnfTransformation,[status(thm)],[f_192]) ).
tff(c_6447,plain,
! [A_645,C_646,B_647] :
( m1_subset_1(A_645,C_646)
| ~ m1_subset_1(B_647,k1_zfmisc_1(C_646))
| ~ r2_hidden(A_645,B_647) ),
inference(cnfTransformation,[status(thm)],[f_346]) ).
tff(c_6913,plain,
! [A_725,A_726,B_727,C_728] :
( m1_subset_1(A_725,k2_zfmisc_1(A_726,B_727))
| ~ r2_hidden(A_725,C_728)
| ~ m2_relset_1(C_728,A_726,B_727) ),
inference(resolution,[status(thm)],[c_84,c_6447]) ).
tff(c_7143,plain,
! [A_762,A_763,B_764,B_765] :
( m1_subset_1(A_762,k2_zfmisc_1(A_763,B_764))
| ~ m2_relset_1(B_765,A_763,B_764)
| v1_xboole_0(B_765)
| ~ m1_subset_1(A_762,B_765) ),
inference(resolution,[status(thm)],[c_162,c_6913]) ).
tff(c_7185,plain,
! [A_773,A_774,B_775,C_776] :
( m1_subset_1(A_773,k2_zfmisc_1(A_774,B_775))
| v1_xboole_0(C_776)
| ~ m1_subset_1(A_773,C_776)
| ~ m1_relset_1(C_776,A_774,B_775) ),
inference(resolution,[status(thm)],[c_156,c_7143]) ).
tff(c_7217,plain,
! [A_774,B_775] :
( m1_subset_1(k2_group_1('#skF_1'),k2_zfmisc_1(A_774,B_775))
| v1_xboole_0(u1_struct_0('#skF_2'))
| ~ m1_relset_1(u1_struct_0('#skF_2'),A_774,B_775) ),
inference(resolution,[status(thm)],[c_6874,c_7185]) ).
tff(c_7241,plain,
v1_xboole_0(u1_struct_0('#skF_2')),
inference(splitLeft,[status(thm)],[c_7217]) ).
tff(c_108,plain,
! [A_52] :
( ~ v1_xboole_0(u1_struct_0(A_52))
| ~ l1_struct_0(A_52)
| v3_struct_0(A_52) ),
inference(cnfTransformation,[status(thm)],[f_243]) ).
tff(c_7246,plain,
( ~ l1_struct_0('#skF_2')
| v3_struct_0('#skF_2') ),
inference(resolution,[status(thm)],[c_7241,c_108]) ).
tff(c_7255,plain,
~ l1_struct_0('#skF_2'),
inference(negUnitSimplification,[status(thm)],[c_6626,c_7246]) ).
tff(c_7260,plain,
~ l1_group_1('#skF_2'),
inference(resolution,[status(thm)],[c_70,c_7255]) ).
tff(c_7264,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_6575,c_7260]) ).
tff(c_7266,plain,
~ v1_xboole_0(u1_struct_0('#skF_2')),
inference(splitRight,[status(thm)],[c_7217]) ).
tff(c_12177,plain,
~ v1_xboole_0('#skF_12'),
inference(demodulation,[status(thm),theory(equality)],[c_12169,c_7266]) ).
tff(c_12182,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_132,c_12177]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP641+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.13 % 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
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 3 22:01:15 EDT 2023
% 0.13/0.35 % CPUTime :
% 12.11/3.98 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.11/3.99
% 12.11/3.99 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 12.37/4.02
% 12.37/4.02 Inference rules
% 12.37/4.02 ----------------------
% 12.37/4.02 #Ref : 12
% 12.37/4.02 #Sup : 3066
% 12.37/4.02 #Fact : 0
% 12.37/4.02 #Define : 0
% 12.37/4.02 #Split : 29
% 12.37/4.02 #Chain : 0
% 12.37/4.02 #Close : 0
% 12.37/4.02
% 12.37/4.02 Ordering : KBO
% 12.37/4.02
% 12.37/4.02 Simplification rules
% 12.37/4.02 ----------------------
% 12.37/4.02 #Subsume : 2196
% 12.37/4.02 #Demod : 729
% 12.37/4.02 #Tautology : 263
% 12.37/4.02 #SimpNegUnit : 777
% 12.37/4.02 #BackRed : 380
% 12.37/4.02
% 12.37/4.02 #Partial instantiations: 0
% 12.37/4.02 #Strategies tried : 1
% 12.37/4.02
% 12.37/4.02 Timing (in seconds)
% 12.37/4.02 ----------------------
% 12.37/4.03 Preprocessing : 0.61
% 12.37/4.03 Parsing : 0.31
% 12.37/4.03 CNF conversion : 0.05
% 12.37/4.03 Main loop : 2.37
% 12.37/4.03 Inferencing : 0.77
% 12.37/4.03 Reduction : 0.73
% 12.37/4.03 Demodulation : 0.50
% 12.37/4.03 BG Simplification : 0.07
% 12.37/4.03 Subsumption : 0.65
% 12.37/4.03 Abstraction : 0.07
% 12.37/4.03 MUC search : 0.00
% 12.37/4.03 Cooper : 0.00
% 12.37/4.03 Total : 3.03
% 12.37/4.03 Index Insertion : 0.00
% 12.37/4.03 Index Deletion : 0.00
% 12.37/4.03 Index Matching : 0.00
% 12.37/4.03 BG Taut test : 0.00
%------------------------------------------------------------------------------