TSTP Solution File: GRP637+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP637+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 : n009.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 10:41:44 EDT 2023
% Result : Theorem 7.34s 2.62s
% Output : CNFRefutation 7.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 58
% Syntax : Number of formulae : 133 ( 37 unt; 48 typ; 0 def)
% Number of atoms : 250 ( 11 equ)
% Maximal formula atoms : 20 ( 2 avg)
% Number of connectives : 272 ( 107 ~; 111 |; 29 &)
% ( 3 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 62 ( 35 >; 27 *; 0 +; 0 <<)
% Number of predicates : 20 ( 18 usr; 1 prp; 0-3 aty)
% Number of functors : 30 ( 30 usr; 13 con; 0-4 aty)
% Number of variables : 75 (; 75 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ v1_partfun1 > v1_group_6 > v1_funct_2 > m2_relset_1 > m1_relset_1 > m1_group_6 > 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_funct_1 > l1_struct_0 > l1_group_1 > k2_funct_2 > k9_relat_1 > k2_zfmisc_1 > k1_realset1 > #nlpp > u1_struct_0 > u1_group_1 > k1_zfmisc_1 > k1_xboole_0 > #skF_11 > #skF_16 > #skF_20 > #skF_17 > #skF_19 > #skF_22 > #skF_7 > #skF_14 > #skF_12 > #skF_18 > #skF_5 > #skF_10 > #skF_6 > #skF_2 > #skF_3 > #skF_1 > #skF_21 > #skF_9 > #skF_8 > #skF_13 > #skF_4 > #skF_15
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_11',type,
'#skF_11': ( $i * $i ) > $i ).
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('#skF_20',type,
'#skF_20': $i ).
tff(v1_funct_1,type,
v1_funct_1: $i > $o ).
tff('#skF_17',type,
'#skF_17': $i ).
tff(m1_group_6,type,
m1_group_6: ( $i * $i * $i ) > $o ).
tff(r2_hidden,type,
r2_hidden: ( $i * $i ) > $o ).
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_22',type,
'#skF_22': $i > $i ).
tff(k2_funct_2,type,
k2_funct_2: ( $i * $i * $i * $i ) > $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(v1_group_6,type,
v1_group_6: ( $i * $i * $i ) > $o ).
tff('#skF_14',type,
'#skF_14': ( $i * $i ) > $i ).
tff('#skF_12',type,
'#skF_12': ( $i * $i ) > $i ).
tff('#skF_18',type,
'#skF_18': ( $i * $i ) > $i ).
tff('#skF_5',type,
'#skF_5': $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_2',type,
'#skF_2': $i ).
tff(k9_relat_1,type,
k9_relat_1: ( $i * $i ) > $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff('#skF_21',type,
'#skF_21': $i ).
tff('#skF_9',type,
'#skF_9': $i ).
tff(k1_zfmisc_1,type,
k1_zfmisc_1: $i > $i ).
tff(k1_realset1,type,
k1_realset1: ( $i * $i ) > $i ).
tff(l1_struct_0,type,
l1_struct_0: $i > $o ).
tff('#skF_8',type,
'#skF_8': $i ).
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(m1_group_2,type,
m1_group_2: ( $i * $i ) > $o ).
tff(v4_group_1,type,
v4_group_1: $i > $o ).
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_15',type,
'#skF_15': ( $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_78,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] :
( ( v1_funct_1(C)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v1_group_6(C,A,B)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ! [D] :
( m1_group_2(D,A)
=> ! [E] :
( m1_group_2(E,A)
=> ! [F] :
( m1_group_2(F,B)
=> ! [G] :
( m1_group_2(G,B)
=> ( ( ( u1_struct_0(F) = k2_funct_2(u1_struct_0(A),u1_struct_0(B),C,u1_struct_0(D)) )
& ( u1_struct_0(G) = k2_funct_2(u1_struct_0(A),u1_struct_0(B),C,u1_struct_0(E)) )
& m1_group_6(D,A,E) )
=> m1_group_6(F,B,G) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_latsubgr) ).
tff(f_347,axiom,
! [A,B] :
( ( ~ v3_struct_0(A)
& v3_group_1(A)
& v4_group_1(A)
& l1_group_1(A)
& m1_group_2(B,A) )
=> ! [C] :
( m1_group_6(C,A,B)
<=> m1_group_2(C,B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m1_group_6) ).
tff(f_186,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_156,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_group_1(A)
& l1_group_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v3_group_1(B)
& l1_group_1(B) )
=> ( m1_group_2(B,A)
<=> ( r1_tarski(u1_struct_0(B),u1_struct_0(A))
& ( u1_group_1(B) = k1_realset1(u1_group_1(A),u1_struct_0(B)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_group_2) ).
tff(f_351,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_331,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(f_206,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_97,axiom,
! [A,B,C] :
( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))
=> v1_relat_1(C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_relset_1) ).
tff(f_359,axiom,
! [A,B,C] :
( v1_relat_1(C)
=> ( r1_tarski(A,B)
=> r1_tarski(k9_relat_1(C,A),k9_relat_1(C,B)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t156_relat_1) ).
tff(f_405,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)
=> ( r1_tarski(u1_struct_0(B),u1_struct_0(C))
=> m1_group_2(B,C) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t66_group_2) ).
tff(c_32,plain,
~ v3_struct_0('#skF_2'),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_30,plain,
v3_group_1('#skF_2'),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_28,plain,
v4_group_1('#skF_2'),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_26,plain,
l1_group_1('#skF_2'),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_12,plain,
m1_group_2('#skF_6','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_10,plain,
m1_group_2('#skF_7','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_1141,plain,
! [C_424,A_425,B_426] :
( m1_group_6(C_424,A_425,B_426)
| ~ m1_group_2(C_424,B_426)
| ~ m1_group_2(B_426,A_425)
| ~ l1_group_1(A_425)
| ~ v4_group_1(A_425)
| ~ v3_group_1(A_425)
| v3_struct_0(A_425) ),
inference(cnfTransformation,[status(thm)],[f_347]) ).
tff(c_2,plain,
~ m1_group_6('#skF_6','#skF_2','#skF_7'),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_1144,plain,
( ~ m1_group_2('#skF_6','#skF_7')
| ~ m1_group_2('#skF_7','#skF_2')
| ~ l1_group_1('#skF_2')
| ~ v4_group_1('#skF_2')
| ~ v3_group_1('#skF_2')
| v3_struct_0('#skF_2') ),
inference(resolution,[status(thm)],[c_1141,c_2]) ).
tff(c_1147,plain,
( ~ m1_group_2('#skF_6','#skF_7')
| v3_struct_0('#skF_2') ),
inference(demodulation,[status(thm),theory(equality)],[c_30,c_28,c_26,c_10,c_1144]) ).
tff(c_1148,plain,
~ m1_group_2('#skF_6','#skF_7'),
inference(negUnitSimplification,[status(thm)],[c_32,c_1147]) ).
tff(c_40,plain,
~ v3_struct_0('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_38,plain,
v3_group_1('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_34,plain,
l1_group_1('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_14,plain,
m1_group_2('#skF_5','#skF_1'),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_472,plain,
! [B_325,A_326] :
( ~ v3_struct_0(B_325)
| ~ m1_group_2(B_325,A_326)
| ~ l1_group_1(A_326)
| ~ v3_group_1(A_326)
| v3_struct_0(A_326) ),
inference(cnfTransformation,[status(thm)],[f_186]) ).
tff(c_487,plain,
( ~ v3_struct_0('#skF_5')
| ~ l1_group_1('#skF_1')
| ~ v3_group_1('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_14,c_472]) ).
tff(c_503,plain,
( ~ v3_struct_0('#skF_5')
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_34,c_487]) ).
tff(c_504,plain,
~ v3_struct_0('#skF_5'),
inference(negUnitSimplification,[status(thm)],[c_40,c_503]) ).
tff(c_16,plain,
m1_group_2('#skF_4','#skF_1'),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_484,plain,
( ~ v3_struct_0('#skF_4')
| ~ l1_group_1('#skF_1')
| ~ v3_group_1('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_16,c_472]) ).
tff(c_499,plain,
( ~ v3_struct_0('#skF_4')
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_34,c_484]) ).
tff(c_500,plain,
~ v3_struct_0('#skF_4'),
inference(negUnitSimplification,[status(thm)],[c_40,c_499]) ).
tff(c_575,plain,
! [B_342,A_343] :
( v3_group_1(B_342)
| ~ m1_group_2(B_342,A_343)
| ~ l1_group_1(A_343)
| ~ v3_group_1(A_343)
| v3_struct_0(A_343) ),
inference(cnfTransformation,[status(thm)],[f_186]) ).
tff(c_590,plain,
( v3_group_1('#skF_5')
| ~ l1_group_1('#skF_1')
| ~ v3_group_1('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_14,c_575]) ).
tff(c_606,plain,
( v3_group_1('#skF_5')
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_34,c_590]) ).
tff(c_607,plain,
v3_group_1('#skF_5'),
inference(negUnitSimplification,[status(thm)],[c_40,c_606]) ).
tff(c_530,plain,
! [B_330,A_331] :
( l1_group_1(B_330)
| ~ m1_group_2(B_330,A_331)
| ~ l1_group_1(A_331)
| ~ v3_group_1(A_331)
| v3_struct_0(A_331) ),
inference(cnfTransformation,[status(thm)],[f_186]) ).
tff(c_545,plain,
( l1_group_1('#skF_5')
| ~ l1_group_1('#skF_1')
| ~ v3_group_1('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_14,c_530]) ).
tff(c_561,plain,
( l1_group_1('#skF_5')
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_34,c_545]) ).
tff(c_562,plain,
l1_group_1('#skF_5'),
inference(negUnitSimplification,[status(thm)],[c_40,c_561]) ).
tff(c_587,plain,
( v3_group_1('#skF_4')
| ~ l1_group_1('#skF_1')
| ~ v3_group_1('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_16,c_575]) ).
tff(c_602,plain,
( v3_group_1('#skF_4')
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_34,c_587]) ).
tff(c_603,plain,
v3_group_1('#skF_4'),
inference(negUnitSimplification,[status(thm)],[c_40,c_602]) ).
tff(c_542,plain,
( l1_group_1('#skF_4')
| ~ l1_group_1('#skF_1')
| ~ v3_group_1('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_16,c_530]) ).
tff(c_557,plain,
( l1_group_1('#skF_4')
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_34,c_542]) ).
tff(c_558,plain,
l1_group_1('#skF_4'),
inference(negUnitSimplification,[status(thm)],[c_40,c_557]) ).
tff(c_36,plain,
v4_group_1('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_4,plain,
m1_group_6('#skF_4','#skF_1','#skF_5'),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_1321,plain,
! [C_441,B_442,A_443] :
( m1_group_2(C_441,B_442)
| ~ m1_group_6(C_441,A_443,B_442)
| ~ m1_group_2(B_442,A_443)
| ~ l1_group_1(A_443)
| ~ v4_group_1(A_443)
| ~ v3_group_1(A_443)
| v3_struct_0(A_443) ),
inference(cnfTransformation,[status(thm)],[f_347]) ).
tff(c_1330,plain,
( m1_group_2('#skF_4','#skF_5')
| ~ m1_group_2('#skF_5','#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_1321]) ).
tff(c_1335,plain,
( m1_group_2('#skF_4','#skF_5')
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_36,c_34,c_14,c_1330]) ).
tff(c_1336,plain,
m1_group_2('#skF_4','#skF_5'),
inference(negUnitSimplification,[status(thm)],[c_40,c_1335]) ).
tff(c_1410,plain,
! [B_446,A_447] :
( r1_tarski(u1_struct_0(B_446),u1_struct_0(A_447))
| ~ m1_group_2(B_446,A_447)
| ~ l1_group_1(B_446)
| ~ v3_group_1(B_446)
| v3_struct_0(B_446)
| ~ l1_group_1(A_447)
| ~ v3_group_1(A_447)
| v3_struct_0(A_447) ),
inference(cnfTransformation,[status(thm)],[f_156]) ).
tff(c_24,plain,
v1_funct_1('#skF_3'),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_18,plain,
m2_relset_1('#skF_3',u1_struct_0('#skF_1'),u1_struct_0('#skF_2')),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_306,plain,
! [C_279,A_280,B_281] :
( m1_relset_1(C_279,A_280,B_281)
| ~ m2_relset_1(C_279,A_280,B_281) ),
inference(cnfTransformation,[status(thm)],[f_351]) ).
tff(c_317,plain,
m1_relset_1('#skF_3',u1_struct_0('#skF_1'),u1_struct_0('#skF_2')),
inference(resolution,[status(thm)],[c_18,c_306]) ).
tff(c_22,plain,
v1_funct_2('#skF_3',u1_struct_0('#skF_1'),u1_struct_0('#skF_2')),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_995,plain,
! [A_415,B_416,C_417,D_418] :
( ( k2_funct_2(A_415,B_416,C_417,D_418) = k9_relat_1(C_417,D_418) )
| ~ m1_relset_1(C_417,A_415,B_416)
| ~ v1_funct_2(C_417,A_415,B_416)
| ~ v1_funct_1(C_417) ),
inference(cnfTransformation,[status(thm)],[f_331]) ).
tff(c_1001,plain,
! [D_418] :
( ( k2_funct_2(u1_struct_0('#skF_1'),u1_struct_0('#skF_2'),'#skF_3',D_418) = k9_relat_1('#skF_3',D_418) )
| ~ m1_relset_1('#skF_3',u1_struct_0('#skF_1'),u1_struct_0('#skF_2'))
| ~ v1_funct_1('#skF_3') ),
inference(resolution,[status(thm)],[c_22,c_995]) ).
tff(c_1009,plain,
! [D_419] : ( k2_funct_2(u1_struct_0('#skF_1'),u1_struct_0('#skF_2'),'#skF_3',D_419) = k9_relat_1('#skF_3',D_419) ),
inference(demodulation,[status(thm),theory(equality)],[c_24,c_317,c_1001]) ).
tff(c_8,plain,
k2_funct_2(u1_struct_0('#skF_1'),u1_struct_0('#skF_2'),'#skF_3',u1_struct_0('#skF_4')) = u1_struct_0('#skF_6'),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_1015,plain,
k9_relat_1('#skF_3',u1_struct_0('#skF_4')) = u1_struct_0('#skF_6'),
inference(superposition,[status(thm),theory(equality)],[c_1009,c_8]) ).
tff(c_443,plain,
! [C_317,A_318,B_319] :
( m1_subset_1(C_317,k1_zfmisc_1(k2_zfmisc_1(A_318,B_319)))
| ~ m2_relset_1(C_317,A_318,B_319) ),
inference(cnfTransformation,[status(thm)],[f_206]) ).
tff(c_48,plain,
! [C_128,A_126,B_127] :
( v1_relat_1(C_128)
| ~ m1_subset_1(C_128,k1_zfmisc_1(k2_zfmisc_1(A_126,B_127))) ),
inference(cnfTransformation,[status(thm)],[f_97]) ).
tff(c_458,plain,
! [C_320,A_321,B_322] :
( v1_relat_1(C_320)
| ~ m2_relset_1(C_320,A_321,B_322) ),
inference(resolution,[status(thm)],[c_443,c_48]) ).
tff(c_469,plain,
v1_relat_1('#skF_3'),
inference(resolution,[status(thm)],[c_18,c_458]) ).
tff(c_6,plain,
k2_funct_2(u1_struct_0('#skF_1'),u1_struct_0('#skF_2'),'#skF_3',u1_struct_0('#skF_5')) = u1_struct_0('#skF_7'),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_1018,plain,
k9_relat_1('#skF_3',u1_struct_0('#skF_5')) = u1_struct_0('#skF_7'),
inference(superposition,[status(thm),theory(equality)],[c_1009,c_6]) ).
tff(c_176,plain,
! [C_200,A_198,B_199] :
( r1_tarski(k9_relat_1(C_200,A_198),k9_relat_1(C_200,B_199))
| ~ r1_tarski(A_198,B_199)
| ~ v1_relat_1(C_200) ),
inference(cnfTransformation,[status(thm)],[f_359]) ).
tff(c_1050,plain,
! [A_198] :
( r1_tarski(k9_relat_1('#skF_3',A_198),u1_struct_0('#skF_7'))
| ~ r1_tarski(A_198,u1_struct_0('#skF_5'))
| ~ v1_relat_1('#skF_3') ),
inference(superposition,[status(thm),theory(equality)],[c_1018,c_176]) ).
tff(c_1126,plain,
! [A_423] :
( r1_tarski(k9_relat_1('#skF_3',A_423),u1_struct_0('#skF_7'))
| ~ r1_tarski(A_423,u1_struct_0('#skF_5')) ),
inference(demodulation,[status(thm),theory(equality)],[c_469,c_1050]) ).
tff(c_1136,plain,
( r1_tarski(u1_struct_0('#skF_6'),u1_struct_0('#skF_7'))
| ~ r1_tarski(u1_struct_0('#skF_4'),u1_struct_0('#skF_5')) ),
inference(superposition,[status(thm),theory(equality)],[c_1015,c_1126]) ).
tff(c_1164,plain,
~ r1_tarski(u1_struct_0('#skF_4'),u1_struct_0('#skF_5')),
inference(splitLeft,[status(thm)],[c_1136]) ).
tff(c_1416,plain,
( ~ m1_group_2('#skF_4','#skF_5')
| ~ l1_group_1('#skF_4')
| ~ v3_group_1('#skF_4')
| v3_struct_0('#skF_4')
| ~ l1_group_1('#skF_5')
| ~ v3_group_1('#skF_5')
| v3_struct_0('#skF_5') ),
inference(resolution,[status(thm)],[c_1410,c_1164]) ).
tff(c_1427,plain,
( v3_struct_0('#skF_4')
| v3_struct_0('#skF_5') ),
inference(demodulation,[status(thm),theory(equality)],[c_607,c_562,c_603,c_558,c_1336,c_1416]) ).
tff(c_1429,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_504,c_500,c_1427]) ).
tff(c_1430,plain,
r1_tarski(u1_struct_0('#skF_6'),u1_struct_0('#skF_7')),
inference(splitRight,[status(thm)],[c_1136]) ).
tff(c_1831,plain,
! [B_476,C_477,A_478] :
( m1_group_2(B_476,C_477)
| ~ r1_tarski(u1_struct_0(B_476),u1_struct_0(C_477))
| ~ m1_group_2(C_477,A_478)
| ~ m1_group_2(B_476,A_478)
| ~ l1_group_1(A_478)
| ~ v4_group_1(A_478)
| ~ v3_group_1(A_478)
| v3_struct_0(A_478) ),
inference(cnfTransformation,[status(thm)],[f_405]) ).
tff(c_1841,plain,
! [A_478] :
( m1_group_2('#skF_6','#skF_7')
| ~ m1_group_2('#skF_7',A_478)
| ~ m1_group_2('#skF_6',A_478)
| ~ l1_group_1(A_478)
| ~ v4_group_1(A_478)
| ~ v3_group_1(A_478)
| v3_struct_0(A_478) ),
inference(resolution,[status(thm)],[c_1430,c_1831]) ).
tff(c_1881,plain,
! [A_480] :
( ~ m1_group_2('#skF_7',A_480)
| ~ m1_group_2('#skF_6',A_480)
| ~ l1_group_1(A_480)
| ~ v4_group_1(A_480)
| ~ v3_group_1(A_480)
| v3_struct_0(A_480) ),
inference(negUnitSimplification,[status(thm)],[c_1148,c_1841]) ).
tff(c_1884,plain,
( ~ m1_group_2('#skF_6','#skF_2')
| ~ l1_group_1('#skF_2')
| ~ v4_group_1('#skF_2')
| ~ v3_group_1('#skF_2')
| v3_struct_0('#skF_2') ),
inference(resolution,[status(thm)],[c_10,c_1881]) ).
tff(c_1887,plain,
v3_struct_0('#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_30,c_28,c_26,c_12,c_1884]) ).
tff(c_1889,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_32,c_1887]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP637+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
% 0.13/0.34 % Computer : n009.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 21:51:08 EDT 2023
% 0.13/0.35 % CPUTime :
% 7.34/2.62 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.49/2.63
% 7.49/2.63 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 7.51/2.67
% 7.51/2.67 Inference rules
% 7.51/2.67 ----------------------
% 7.51/2.67 #Ref : 0
% 7.51/2.67 #Sup : 366
% 7.51/2.67 #Fact : 0
% 7.51/2.67 #Define : 0
% 7.51/2.67 #Split : 21
% 7.51/2.67 #Chain : 0
% 7.51/2.67 #Close : 0
% 7.51/2.67
% 7.51/2.67 Ordering : KBO
% 7.51/2.67
% 7.51/2.67 Simplification rules
% 7.51/2.67 ----------------------
% 7.51/2.67 #Subsume : 89
% 7.51/2.67 #Demod : 162
% 7.51/2.67 #Tautology : 88
% 7.51/2.67 #SimpNegUnit : 74
% 7.51/2.67 #BackRed : 4
% 7.51/2.67
% 7.51/2.67 #Partial instantiations: 0
% 7.51/2.67 #Strategies tried : 1
% 7.51/2.67
% 7.51/2.67 Timing (in seconds)
% 7.51/2.67 ----------------------
% 7.51/2.67 Preprocessing : 0.69
% 7.51/2.67 Parsing : 0.36
% 7.51/2.67 CNF conversion : 0.07
% 7.51/2.67 Main loop : 0.91
% 7.51/2.67 Inferencing : 0.35
% 7.51/2.67 Reduction : 0.28
% 7.51/2.67 Demodulation : 0.19
% 7.51/2.67 BG Simplification : 0.04
% 7.51/2.67 Subsumption : 0.18
% 7.51/2.67 Abstraction : 0.04
% 7.51/2.67 MUC search : 0.00
% 7.51/2.67 Cooper : 0.00
% 7.51/2.67 Total : 1.66
% 7.51/2.67 Index Insertion : 0.00
% 7.51/2.67 Index Deletion : 0.00
% 7.51/2.67 Index Matching : 0.00
% 7.51/2.67 BG Taut test : 0.00
%------------------------------------------------------------------------------