TSTP Solution File: GRP628+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP628+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/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n007.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 10:41:42 EDT 2023
% Result : Theorem 15.15s 5.38s
% Output : CNFRefutation 15.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 70
% Syntax : Number of formulae : 144 ( 39 unt; 63 typ; 0 def)
% Number of atoms : 278 ( 21 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 341 ( 144 ~; 146 |; 31 &)
% ( 0 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 74 ( 46 >; 28 *; 0 +; 0 <<)
% Number of predicates : 25 ( 23 usr; 1 prp; 0-4 aty)
% Number of functors : 40 ( 40 usr; 17 con; 0-3 aty)
% Number of variables : 35 (; 35 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ m2_fraenkel > v1_partfun1 > v1_funct_2 > m2_relset_1 > m1_relset_1 > m1_fraenkel > v1_group_3 > r2_hidden > r1_tarski > m1_subset_1 > m1_group_2 > 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 > k3_group_1 > k2_zfmisc_1 > g1_group_1 > #nlpp > u1_struct_0 > u1_group_1 > k5_autgroup > k4_autgroup > k3_autgroup > k2_funct_1 > k2_autgroup > k1_zfmisc_1 > k1_autgroup > k1_xboole_0 > #skF_9 > #skF_7 > #skF_11 > #skF_22 > #skF_16 > #skF_6 > #skF_20 > #skF_18 > #skF_15 > #skF_25 > #skF_19 > #skF_14 > #skF_26 > #skF_5 > #skF_13 > #skF_2 > #skF_3 > #skF_1 > #skF_8 > #skF_21 > #skF_4 > #skF_17 > #skF_24 > #skF_23 > #skF_27 > #skF_12 > #skF_10
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_9',type,
'#skF_9': $i > $i ).
tff(v2_group_1,type,
v2_group_1: $i > $o ).
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('#skF_22',type,
'#skF_22': ( $i * $i ) > $i ).
tff('#skF_16',type,
'#skF_16': $i > $i ).
tff(v3_group_1,type,
v3_group_1: $i > $o ).
tff('#skF_6',type,
'#skF_6': ( $i * $i ) > $i ).
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(k2_funct_1,type,
k2_funct_1: $i > $i ).
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(k4_autgroup,type,
k4_autgroup: $i > $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_25',type,
'#skF_25': $i ).
tff(k1_xboole_0,type,
k1_xboole_0: $i ).
tff('#skF_19',type,
'#skF_19': $i ).
tff(k3_group_1,type,
k3_group_1: ( $i * $i ) > $i ).
tff(r1_tarski,type,
r1_tarski: ( $i * $i ) > $o ).
tff(k3_autgroup,type,
k3_autgroup: $i > $i ).
tff(m1_relset_1,type,
m1_relset_1: ( $i * $i * $i ) > $o ).
tff(m1_fraenkel,type,
m1_fraenkel: ( $i * $i * $i ) > $o ).
tff('#skF_14',type,
'#skF_14': ( $i * $i ) > $i ).
tff(v1_group_3,type,
v1_group_3: ( $i * $i ) > $o ).
tff('#skF_26',type,
'#skF_26': $i ).
tff('#skF_5',type,
'#skF_5': $i ).
tff(v1_funct_2,type,
v1_funct_2: ( $i * $i * $i ) > $o ).
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_21',type,
'#skF_21': $i ).
tff(k1_zfmisc_1,type,
k1_zfmisc_1: $i > $i ).
tff(l1_struct_0,type,
l1_struct_0: $i > $o ).
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(m1_group_2,type,
m1_group_2: ( $i * $i ) > $o ).
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(k5_autgroup,type,
k5_autgroup: $i > $i ).
tff('#skF_27',type,
'#skF_27': $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('#skF_12',type,
'#skF_12': $i ).
tff('#skF_10',type,
'#skF_10': ( $i * $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)
& 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] :
( m1_subset_1(C,u1_struct_0(k5_autgroup(A)))
=> ( ( B = C )
=> ( k2_funct_1(B) = k3_group_1(k5_autgroup(A),C) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t22_autgroup) ).
tff(f_249,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v1_group_1(A)
& v3_group_1(A)
& v4_group_1(A)
& l1_group_1(A) )
=> ( ~ v3_struct_0(k3_autgroup(A))
& v1_group_1(k3_autgroup(A))
& v3_group_1(k3_autgroup(A))
& v4_group_1(k3_autgroup(A))
& l1_group_1(k3_autgroup(A)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_autgroup) ).
tff(f_292,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v1_group_1(A)
& v3_group_1(A)
& v4_group_1(A)
& l1_group_1(A) )
=> ( v1_group_1(k5_autgroup(A))
& v1_group_3(k5_autgroup(A),k3_autgroup(A))
& m1_group_2(k5_autgroup(A),k3_autgroup(A)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_autgroup) ).
tff(f_642,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_group_1(A)
& l1_group_1(A) )
=> ! [B] :
( m1_group_2(B,A)
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> m1_subset_1(C,u1_struct_0(A)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t51_group_2) ).
tff(f_664,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_group_1(A)
& v4_group_1(A)
& l1_group_1(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_group_2(C,A)
=> ! [D] :
( m1_subset_1(D,u1_struct_0(C))
=> ( ( D = B )
=> ( k3_group_1(C,D) = k3_group_1(A,B) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t57_group_2) ).
tff(f_607,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/sandbox2/benchmark/theBenchmark.p',t13_autgroup) ).
tff(f_591,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),k1_autgroup(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(k3_autgroup(A)))
=> ( ( B = C )
=> ( k2_funct_1(B) = k3_group_1(k3_autgroup(A),C) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_autgroup) ).
tff(c_18,plain,
~ v3_struct_0('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_16,plain,
v1_group_1('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_14,plain,
v3_group_1('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_12,plain,
v4_group_1('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_10,plain,
l1_group_1('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_86,plain,
! [A_37] :
( l1_group_1(k3_autgroup(A_37))
| ~ l1_group_1(A_37)
| ~ v4_group_1(A_37)
| ~ v3_group_1(A_37)
| ~ v1_group_1(A_37)
| v3_struct_0(A_37) ),
inference(cnfTransformation,[status(thm)],[f_249]) ).
tff(c_88,plain,
! [A_37] :
( v4_group_1(k3_autgroup(A_37))
| ~ l1_group_1(A_37)
| ~ v4_group_1(A_37)
| ~ v3_group_1(A_37)
| ~ v1_group_1(A_37)
| v3_struct_0(A_37) ),
inference(cnfTransformation,[status(thm)],[f_249]) ).
tff(c_90,plain,
! [A_37] :
( v3_group_1(k3_autgroup(A_37))
| ~ l1_group_1(A_37)
| ~ v4_group_1(A_37)
| ~ v3_group_1(A_37)
| ~ v1_group_1(A_37)
| v3_struct_0(A_37) ),
inference(cnfTransformation,[status(thm)],[f_249]) ).
tff(c_4,plain,
'#skF_2' = '#skF_3',
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_2,plain,
k3_group_1(k5_autgroup('#skF_1'),'#skF_3') != k2_funct_1('#skF_2'),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_306,plain,
k3_group_1(k5_autgroup('#skF_1'),'#skF_3') != k2_funct_1('#skF_3'),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_2]) ).
tff(c_100,plain,
! [A_41] :
( m1_group_2(k5_autgroup(A_41),k3_autgroup(A_41))
| ~ l1_group_1(A_41)
| ~ v4_group_1(A_41)
| ~ v3_group_1(A_41)
| ~ v1_group_1(A_41)
| v3_struct_0(A_41) ),
inference(cnfTransformation,[status(thm)],[f_292]) ).
tff(c_6,plain,
m1_subset_1('#skF_3',u1_struct_0(k5_autgroup('#skF_1'))),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_3177,plain,
! [C_693,A_694,B_695] :
( m1_subset_1(C_693,u1_struct_0(A_694))
| ~ m1_subset_1(C_693,u1_struct_0(B_695))
| ~ m1_group_2(B_695,A_694)
| ~ l1_group_1(A_694)
| ~ v3_group_1(A_694)
| v3_struct_0(A_694) ),
inference(cnfTransformation,[status(thm)],[f_642]) ).
tff(c_3192,plain,
! [A_694] :
( m1_subset_1('#skF_3',u1_struct_0(A_694))
| ~ m1_group_2(k5_autgroup('#skF_1'),A_694)
| ~ l1_group_1(A_694)
| ~ v3_group_1(A_694)
| v3_struct_0(A_694) ),
inference(resolution,[status(thm)],[c_6,c_3177]) ).
tff(c_11867,plain,
! [C_1239,D_1240,A_1241] :
( ( k3_group_1(C_1239,D_1240) = k3_group_1(A_1241,D_1240) )
| ~ m1_subset_1(D_1240,u1_struct_0(C_1239))
| ~ m1_group_2(C_1239,A_1241)
| ~ m1_subset_1(D_1240,u1_struct_0(A_1241))
| ~ l1_group_1(A_1241)
| ~ v4_group_1(A_1241)
| ~ v3_group_1(A_1241)
| v3_struct_0(A_1241) ),
inference(cnfTransformation,[status(thm)],[f_664]) ).
tff(c_11900,plain,
! [A_1247] :
( ( k3_group_1(k5_autgroup('#skF_1'),'#skF_3') = k3_group_1(A_1247,'#skF_3') )
| ~ m1_group_2(k5_autgroup('#skF_1'),A_1247)
| ~ m1_subset_1('#skF_3',u1_struct_0(A_1247))
| ~ l1_group_1(A_1247)
| ~ v4_group_1(A_1247)
| ~ v3_group_1(A_1247)
| v3_struct_0(A_1247) ),
inference(resolution,[status(thm)],[c_6,c_11867]) ).
tff(c_12045,plain,
! [A_1257] :
( ( k3_group_1(k5_autgroup('#skF_1'),'#skF_3') = k3_group_1(A_1257,'#skF_3') )
| ~ v4_group_1(A_1257)
| ~ m1_group_2(k5_autgroup('#skF_1'),A_1257)
| ~ l1_group_1(A_1257)
| ~ v3_group_1(A_1257)
| v3_struct_0(A_1257) ),
inference(resolution,[status(thm)],[c_3192,c_11900]) ).
tff(c_12049,plain,
( ( k3_group_1(k5_autgroup('#skF_1'),'#skF_3') = k3_group_1(k3_autgroup('#skF_1'),'#skF_3') )
| ~ v4_group_1(k3_autgroup('#skF_1'))
| ~ l1_group_1(k3_autgroup('#skF_1'))
| ~ v3_group_1(k3_autgroup('#skF_1'))
| v3_struct_0(k3_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_100,c_12045]) ).
tff(c_12052,plain,
( ( k3_group_1(k5_autgroup('#skF_1'),'#skF_3') = k3_group_1(k3_autgroup('#skF_1'),'#skF_3') )
| ~ v4_group_1(k3_autgroup('#skF_1'))
| ~ l1_group_1(k3_autgroup('#skF_1'))
| ~ v3_group_1(k3_autgroup('#skF_1'))
| v3_struct_0(k3_autgroup('#skF_1'))
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_14,c_12,c_10,c_12049]) ).
tff(c_12053,plain,
( ( k3_group_1(k5_autgroup('#skF_1'),'#skF_3') = k3_group_1(k3_autgroup('#skF_1'),'#skF_3') )
| ~ v4_group_1(k3_autgroup('#skF_1'))
| ~ l1_group_1(k3_autgroup('#skF_1'))
| ~ v3_group_1(k3_autgroup('#skF_1'))
| v3_struct_0(k3_autgroup('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_18,c_12052]) ).
tff(c_12251,plain,
~ v3_group_1(k3_autgroup('#skF_1')),
inference(splitLeft,[status(thm)],[c_12053]) ).
tff(c_12254,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_90,c_12251]) ).
tff(c_12257,plain,
v3_struct_0('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_14,c_12,c_10,c_12254]) ).
tff(c_12259,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_18,c_12257]) ).
tff(c_12261,plain,
v3_group_1(k3_autgroup('#skF_1')),
inference(splitRight,[status(thm)],[c_12053]) ).
tff(c_8,plain,
m2_fraenkel('#skF_2',u1_struct_0('#skF_1'),u1_struct_0('#skF_1'),k4_autgroup('#skF_1')),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_305,plain,
m2_fraenkel('#skF_3',u1_struct_0('#skF_1'),u1_struct_0('#skF_1'),k4_autgroup('#skF_1')),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_8]) ).
tff(c_11926,plain,
! [B_1253,A_1254] :
( m2_fraenkel(B_1253,u1_struct_0(A_1254),u1_struct_0(A_1254),k1_autgroup(A_1254))
| ~ m2_fraenkel(B_1253,u1_struct_0(A_1254),u1_struct_0(A_1254),k4_autgroup(A_1254))
| ~ l1_group_1(A_1254)
| ~ v4_group_1(A_1254)
| ~ v3_group_1(A_1254)
| ~ v1_group_1(A_1254)
| v3_struct_0(A_1254) ),
inference(cnfTransformation,[status(thm)],[f_607]) ).
tff(c_11937,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_305,c_11926]) ).
tff(c_11942,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_16,c_14,c_12,c_10,c_11937]) ).
tff(c_11943,plain,
m2_fraenkel('#skF_3',u1_struct_0('#skF_1'),u1_struct_0('#skF_1'),k1_autgroup('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_18,c_11942]) ).
tff(c_12116,plain,
! [A_1258,C_1259] :
( ( k3_group_1(k3_autgroup(A_1258),C_1259) = k2_funct_1(C_1259) )
| ~ m1_subset_1(C_1259,u1_struct_0(k3_autgroup(A_1258)))
| ~ m2_fraenkel(C_1259,u1_struct_0(A_1258),u1_struct_0(A_1258),k1_autgroup(A_1258))
| ~ l1_group_1(A_1258)
| ~ v4_group_1(A_1258)
| ~ v3_group_1(A_1258)
| ~ v1_group_1(A_1258)
| v3_struct_0(A_1258) ),
inference(cnfTransformation,[status(thm)],[f_591]) ).
tff(c_12119,plain,
( ( k3_group_1(k3_autgroup('#skF_1'),'#skF_3') = k2_funct_1('#skF_3') )
| ~ m1_subset_1('#skF_3',u1_struct_0(k3_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_11943,c_12116]) ).
tff(c_12130,plain,
( ( k3_group_1(k3_autgroup('#skF_1'),'#skF_3') = k2_funct_1('#skF_3') )
| ~ m1_subset_1('#skF_3',u1_struct_0(k3_autgroup('#skF_1')))
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_14,c_12,c_10,c_12119]) ).
tff(c_12131,plain,
( ( k3_group_1(k3_autgroup('#skF_1'),'#skF_3') = k2_funct_1('#skF_3') )
| ~ m1_subset_1('#skF_3',u1_struct_0(k3_autgroup('#skF_1'))) ),
inference(negUnitSimplification,[status(thm)],[c_18,c_12130]) ).
tff(c_12134,plain,
~ m1_subset_1('#skF_3',u1_struct_0(k3_autgroup('#skF_1'))),
inference(splitLeft,[status(thm)],[c_12131]) ).
tff(c_12138,plain,
( ~ m1_group_2(k5_autgroup('#skF_1'),k3_autgroup('#skF_1'))
| ~ l1_group_1(k3_autgroup('#skF_1'))
| ~ v3_group_1(k3_autgroup('#skF_1'))
| v3_struct_0(k3_autgroup('#skF_1')) ),
inference(resolution,[status(thm)],[c_3192,c_12134]) ).
tff(c_12302,plain,
( ~ m1_group_2(k5_autgroup('#skF_1'),k3_autgroup('#skF_1'))
| ~ l1_group_1(k3_autgroup('#skF_1'))
| v3_struct_0(k3_autgroup('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_12261,c_12138]) ).
tff(c_12303,plain,
~ l1_group_1(k3_autgroup('#skF_1')),
inference(splitLeft,[status(thm)],[c_12302]) ).
tff(c_12306,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_86,c_12303]) ).
tff(c_12309,plain,
v3_struct_0('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_14,c_12,c_10,c_12306]) ).
tff(c_12311,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_18,c_12309]) ).
tff(c_12312,plain,
( ~ m1_group_2(k5_autgroup('#skF_1'),k3_autgroup('#skF_1'))
| v3_struct_0(k3_autgroup('#skF_1')) ),
inference(splitRight,[status(thm)],[c_12302]) ).
tff(c_12314,plain,
~ m1_group_2(k5_autgroup('#skF_1'),k3_autgroup('#skF_1')),
inference(splitLeft,[status(thm)],[c_12312]) ).
tff(c_12317,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_100,c_12314]) ).
tff(c_12320,plain,
v3_struct_0('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_14,c_12,c_10,c_12317]) ).
tff(c_12322,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_18,c_12320]) ).
tff(c_12323,plain,
v3_struct_0(k3_autgroup('#skF_1')),
inference(splitRight,[status(thm)],[c_12312]) ).
tff(c_94,plain,
! [A_37] :
( ~ v3_struct_0(k3_autgroup(A_37))
| ~ l1_group_1(A_37)
| ~ v4_group_1(A_37)
| ~ v3_group_1(A_37)
| ~ v1_group_1(A_37)
| v3_struct_0(A_37) ),
inference(cnfTransformation,[status(thm)],[f_249]) ).
tff(c_12327,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_12323,c_94]) ).
tff(c_12330,plain,
v3_struct_0('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_14,c_12,c_10,c_12327]) ).
tff(c_12332,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_18,c_12330]) ).
tff(c_12333,plain,
k3_group_1(k3_autgroup('#skF_1'),'#skF_3') = k2_funct_1('#skF_3'),
inference(splitRight,[status(thm)],[c_12131]) ).
tff(c_12417,plain,
( ( k3_group_1(k5_autgroup('#skF_1'),'#skF_3') = k2_funct_1('#skF_3') )
| ~ v4_group_1(k3_autgroup('#skF_1'))
| ~ l1_group_1(k3_autgroup('#skF_1'))
| ~ v3_group_1(k3_autgroup('#skF_1'))
| v3_struct_0(k3_autgroup('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_12333,c_12053]) ).
tff(c_12418,plain,
( ~ v4_group_1(k3_autgroup('#skF_1'))
| ~ l1_group_1(k3_autgroup('#skF_1'))
| ~ v3_group_1(k3_autgroup('#skF_1'))
| v3_struct_0(k3_autgroup('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_306,c_12417]) ).
tff(c_12419,plain,
~ v3_group_1(k3_autgroup('#skF_1')),
inference(splitLeft,[status(thm)],[c_12418]) ).
tff(c_12422,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_90,c_12419]) ).
tff(c_12425,plain,
v3_struct_0('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_14,c_12,c_10,c_12422]) ).
tff(c_12427,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_18,c_12425]) ).
tff(c_12428,plain,
( ~ l1_group_1(k3_autgroup('#skF_1'))
| ~ v4_group_1(k3_autgroup('#skF_1'))
| v3_struct_0(k3_autgroup('#skF_1')) ),
inference(splitRight,[status(thm)],[c_12418]) ).
tff(c_12431,plain,
~ v4_group_1(k3_autgroup('#skF_1')),
inference(splitLeft,[status(thm)],[c_12428]) ).
tff(c_12434,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_88,c_12431]) ).
tff(c_12437,plain,
v3_struct_0('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_14,c_12,c_10,c_12434]) ).
tff(c_12439,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_18,c_12437]) ).
tff(c_12440,plain,
( ~ l1_group_1(k3_autgroup('#skF_1'))
| v3_struct_0(k3_autgroup('#skF_1')) ),
inference(splitRight,[status(thm)],[c_12428]) ).
tff(c_12442,plain,
~ l1_group_1(k3_autgroup('#skF_1')),
inference(splitLeft,[status(thm)],[c_12440]) ).
tff(c_12445,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_86,c_12442]) ).
tff(c_12448,plain,
v3_struct_0('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_14,c_12,c_10,c_12445]) ).
tff(c_12450,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_18,c_12448]) ).
tff(c_12451,plain,
v3_struct_0(k3_autgroup('#skF_1')),
inference(splitRight,[status(thm)],[c_12440]) ).
tff(c_12468,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_12451,c_94]) ).
tff(c_12471,plain,
v3_struct_0('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_14,c_12,c_10,c_12468]) ).
tff(c_12473,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_18,c_12471]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP628+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/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.15/0.36 % Computer : n007.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 3 21:51:09 EDT 2023
% 0.15/0.36 % CPUTime :
% 15.15/5.38 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.15/5.38
% 15.15/5.38 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 15.15/5.42
% 15.15/5.42 Inference rules
% 15.15/5.42 ----------------------
% 15.15/5.42 #Ref : 6
% 15.15/5.42 #Sup : 2744
% 15.15/5.42 #Fact : 0
% 15.15/5.42 #Define : 0
% 15.15/5.42 #Split : 98
% 15.15/5.42 #Chain : 0
% 15.15/5.42 #Close : 0
% 15.15/5.42
% 15.15/5.42 Ordering : KBO
% 15.15/5.42
% 15.15/5.42 Simplification rules
% 15.15/5.42 ----------------------
% 15.15/5.42 #Subsume : 840
% 15.15/5.42 #Demod : 2186
% 15.15/5.42 #Tautology : 666
% 15.15/5.42 #SimpNegUnit : 256
% 15.15/5.42 #BackRed : 137
% 15.15/5.42
% 15.15/5.42 #Partial instantiations: 0
% 15.15/5.42 #Strategies tried : 1
% 15.15/5.42
% 15.15/5.42 Timing (in seconds)
% 15.15/5.42 ----------------------
% 15.15/5.42 Preprocessing : 0.76
% 15.15/5.42 Parsing : 0.39
% 15.15/5.42 CNF conversion : 0.07
% 15.15/5.42 Main loop : 3.53
% 15.15/5.42 Inferencing : 1.22
% 15.15/5.42 Reduction : 1.30
% 15.15/5.42 Demodulation : 0.92
% 15.15/5.42 BG Simplification : 0.08
% 15.15/5.42 Subsumption : 0.69
% 15.15/5.42 Abstraction : 0.07
% 15.15/5.42 MUC search : 0.00
% 15.15/5.42 Cooper : 0.00
% 15.15/5.42 Total : 4.35
% 15.15/5.42 Index Insertion : 0.00
% 15.15/5.42 Index Deletion : 0.00
% 15.15/5.42 Index Matching : 0.00
% 15.15/5.42 BG Taut test : 0.00
%------------------------------------------------------------------------------