%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GRP631+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:40:27 PM UTC 2026
% Result : Theorem 26.40s 4.39s
% Output : CNFRefutation 26.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 21
% Syntax : Number of formulae : 122 ( 36 unt; 0 def)
% Number of atoms : 405 ( 52 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 450 ( 167 ~; 155 |; 93 &)
% ( 3 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 1 prp; 0-4 aty)
% Number of functors : 14 ( 14 usr; 2 con; 0-6 aty)
% Number of variables : 218 ( 9 sgn 123 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t29_autgroup,conjecture,
! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& v1_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ( k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),k6_autgroup(X1,X2),k6_autgroup(X1,k2_group_1(X1))) = k6_autgroup(X1,X2)
& k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),k6_autgroup(X1,k2_group_1(X1)),k6_autgroup(X1,X2)) = k6_autgroup(X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t29_autgroup) ).
fof(rc5_struct_0,axiom,
! [X1] :
( ( l1_struct_0(X1)
& ~ v3_struct_0(X1) )
=> ? [X2] :
( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc5_struct_0) ).
fof(dt_l1_group_1,axiom,
! [X1] :
( l1_group_1(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_group_1) ).
fof(t5_subset,axiom,
! [X1,X2,X3] :
~ ( v1_xboole_0(X3)
& m1_subset_1(X2,k1_zfmisc_1(X3))
& r2_hidden(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_subset) ).
fof(t2_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,X2)
=> ( r2_hidden(X1,X2)
| v1_xboole_0(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(existence_m1_subset_1,axiom,
! [X1] :
? [X2] : m1_subset_1(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(dt_k6_autgroup,axiom,
! [X1,X2] :
( ( m1_subset_1(X2,u1_struct_0(X1))
& l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& v1_group_1(X1)
& ~ v3_struct_0(X1) )
=> m2_fraenkel(k6_autgroup(X1,X2),u1_struct_0(X1),u1_struct_0(X1),k4_autgroup(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_autgroup) ).
fof(dt_k4_autgroup,axiom,
! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& v1_group_1(X1)
& ~ v3_struct_0(X1) )
=> m1_fraenkel(k4_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_autgroup) ).
fof(redefinition_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
<=> m1_relset_1(X3,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(dt_k6_partfun1,axiom,
! [X1] :
( m2_relset_1(k6_partfun1(X1),X1,X1)
& v1_partfun1(k6_partfun1(X1),X1,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_partfun1) ).
fof(fc2_funct_1,axiom,
! [X1] :
( v1_funct_1(k6_relat_1(X1))
& v1_relat_1(k6_relat_1(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_funct_1) ).
fof(redefinition_k6_partfun1,axiom,
! [X1] : k6_partfun1(X1) = k6_relat_1(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k6_partfun1) ).
fof(dt_m2_fraenkel,axiom,
! [X1,X2,X3] :
( ( m1_fraenkel(X3,X1,X2)
& ~ v1_xboole_0(X2) )
=> ! [X4] :
( m2_fraenkel(X4,X1,X2,X3)
=> ( m2_relset_1(X4,X1,X2)
& v1_funct_2(X4,X1,X2)
& v1_funct_1(X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_fraenkel) ).
fof(redefinition_k7_funct_2,axiom,
! [X1,X2,X3,X4,X5] :
( ( m1_relset_1(X5,X2,X3)
& v1_funct_2(X5,X2,X3)
& v1_funct_1(X5)
& m1_relset_1(X4,X1,X2)
& v1_funct_2(X4,X1,X2)
& v1_funct_1(X4)
& ~ v1_xboole_0(X2) )
=> k7_funct_2(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k7_funct_2) ).
fof(cc1_funct_2,axiom,
! [X1,X2,X3] :
( m1_relset_1(X3,X1,X2)
=> ( ( v1_partfun1(X3,X1,X2)
& v1_funct_1(X3) )
=> ( v1_funct_2(X3,X1,X2)
& v1_funct_1(X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_funct_2) ).
fof(redefinition_m2_fraenkel,axiom,
! [X1,X2,X3] :
( ( m1_fraenkel(X3,X1,X2)
& ~ v1_xboole_0(X2) )
=> ! [X4] :
( m2_fraenkel(X4,X1,X2,X3)
<=> m1_subset_1(X4,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_fraenkel) ).
fof(cc1_fraenkel,axiom,
! [X1] :
( v1_fraenkel(X1)
=> ! [X2] :
( m1_subset_1(X2,X1)
=> ( v1_funct_1(X2)
& v1_relat_1(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_fraenkel) ).
fof(t24_autgroup,axiom,
! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& v1_group_1(X1)
& ~ v3_struct_0(X1) )
=> k6_autgroup(X1,k2_group_1(X1)) = k6_partfun1(u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t24_autgroup) ).
fof(dt_m1_fraenkel,axiom,
! [X1,X2,X3] :
( m1_fraenkel(X3,X1,X2)
=> ( v1_fraenkel(X3)
& ~ v1_xboole_0(X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_fraenkel) ).
fof(redefinition_k7_relset_1,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( m1_relset_1(X6,X3,X4)
& m1_relset_1(X5,X1,X2) )
=> k7_relset_1(X1,X2,X3,X4,X5,X6) = k5_relat_1(X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k7_relset_1) ).
fof(t23_funct_2,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
=> ( k7_relset_1(X1,X2,X2,X2,X3,k6_partfun1(X2)) = X3
& k7_relset_1(X1,X1,X1,X2,k6_partfun1(X1),X3) = X3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_funct_2) ).
fof(c_0_21,negated_conjecture,
~ ! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& v1_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ( k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),k6_autgroup(X1,X2),k6_autgroup(X1,k2_group_1(X1))) = k6_autgroup(X1,X2)
& k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),k6_autgroup(X1,k2_group_1(X1)),k6_autgroup(X1,X2)) = k6_autgroup(X1,X2) ) ) ),
inference(assume_negation,[status(cth)],[t29_autgroup]) ).
fof(c_0_22,plain,
! [X1] :
( ( l1_struct_0(X1)
& ~ v3_struct_0(X1) )
=> ? [X2] :
( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ),
inference(fof_simplification,[status(thm)],[rc5_struct_0]) ).
fof(c_0_23,negated_conjecture,
~ ! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& v1_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ( k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),k6_autgroup(X1,X2),k6_autgroup(X1,k2_group_1(X1))) = k6_autgroup(X1,X2)
& k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),k6_autgroup(X1,k2_group_1(X1)),k6_autgroup(X1,X2)) = k6_autgroup(X1,X2) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_21]) ).
fof(c_0_24,plain,
! [X120] :
( ( ~ l1_struct_0(X120)
| v3_struct_0(X120)
| ~ v1_xboole_0(esk25_1(X120)) )
& ( ~ l1_struct_0(X120)
| v3_struct_0(X120)
| m1_subset_1(esk25_1(X120),k1_zfmisc_1(u1_struct_0(X120))) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])])])]) ).
fof(c_0_25,plain,
! [X59] :
( l1_struct_0(X59)
| ~ l1_group_1(X59) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_group_1])])]) ).
fof(c_0_26,negated_conjecture,
( ( k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k6_autgroup(esk1_0,esk2_0),k6_autgroup(esk1_0,k2_group_1(esk1_0))) != k6_autgroup(esk1_0,esk2_0)
| k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k6_autgroup(esk1_0,k2_group_1(esk1_0)),k6_autgroup(esk1_0,esk2_0)) != k6_autgroup(esk1_0,esk2_0) )
& m1_subset_1(esk2_0,u1_struct_0(esk1_0))
& l1_group_1(esk1_0)
& v4_group_1(esk1_0)
& v3_group_1(esk1_0)
& v1_group_1(esk1_0)
& ~ v3_struct_0(esk1_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])])]) ).
cnf(c_0_27,plain,
( ~ l1_struct_0(X1)
| v3_struct_0(X1)
| m1_subset_1(esk25_1(X1),k1_zfmisc_1(u1_struct_0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_28,plain,
( ~ l1_group_1(X1)
| l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_29,plain,
! [X155,X156,X157] :
( ~ v1_xboole_0(X157)
| ~ m1_subset_1(X156,k1_zfmisc_1(X157))
| ~ r2_hidden(X155,X156) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])])]) ).
cnf(c_0_30,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_31,plain,
( ~ l1_group_1(X1)
| v3_struct_0(X1)
| m1_subset_1(esk25_1(X1),k1_zfmisc_1(u1_struct_0(X1))) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_32,negated_conjecture,
l1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_33,plain,
( ~ v1_xboole_0(X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_34,negated_conjecture,
m1_subset_1(esk25_1(esk1_0),k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32])]) ).
fof(c_0_35,plain,
! [X148,X149] :
( r2_hidden(X148,X149)
| v1_xboole_0(X149)
| ~ m1_subset_1(X148,X149) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])])]) ).
cnf(c_0_36,negated_conjecture,
( ~ r2_hidden(X1,esk25_1(esk1_0))
| ~ v1_xboole_0(u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_37,plain,
( ~ m1_subset_1(X1,X2)
| r2_hidden(X1,X2)
| v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
fof(c_0_38,plain,
! [X79] : m1_subset_1(esk7_1(X79),X79),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_subset_1])]) ).
fof(c_0_39,plain,
! [X1,X2] :
( ( m1_subset_1(X2,u1_struct_0(X1))
& l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& v1_group_1(X1)
& ~ v3_struct_0(X1) )
=> m2_fraenkel(k6_autgroup(X1,X2),u1_struct_0(X1),u1_struct_0(X1),k4_autgroup(X1)) ),
inference(fof_simplification,[status(thm)],[dt_k6_autgroup]) ).
fof(c_0_40,plain,
! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& v1_group_1(X1)
& ~ v3_struct_0(X1) )
=> m1_fraenkel(k4_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[dt_k4_autgroup]) ).
cnf(c_0_41,negated_conjecture,
( ~ m1_subset_1(X1,esk25_1(esk1_0))
| ~ v1_xboole_0(u1_struct_0(esk1_0))
| v1_xboole_0(esk25_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_42,plain,
m1_subset_1(esk7_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
fof(c_0_43,plain,
! [X138,X139,X140] :
( ( m2_relset_1(X140,X138,X139)
| ~ m1_relset_1(X140,X138,X139) )
& ( m1_relset_1(X140,X138,X139)
| ~ m2_relset_1(X140,X138,X139) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])])]) ).
fof(c_0_44,plain,
! [X46] :
( m2_relset_1(k6_partfun1(X46),X46,X46)
& v1_partfun1(k6_partfun1(X46),X46,X46) ),
inference(variable_rename,[status(thm)],[dt_k6_partfun1]) ).
fof(c_0_45,plain,
! [X93] :
( v1_funct_1(k6_relat_1(X93))
& v1_relat_1(k6_relat_1(X93)) ),
inference(variable_rename,[status(thm)],[fc2_funct_1]) ).
fof(c_0_46,plain,
! [X122] : k6_partfun1(X122) = k6_relat_1(X122),
inference(variable_rename,[status(thm)],[redefinition_k6_partfun1]) ).
fof(c_0_47,plain,
! [X1,X2,X3] :
( ( m1_fraenkel(X3,X1,X2)
& ~ v1_xboole_0(X2) )
=> ! [X4] :
( m2_fraenkel(X4,X1,X2,X3)
=> ( m2_relset_1(X4,X1,X2)
& v1_funct_2(X4,X1,X2)
& v1_funct_1(X4) ) ) ),
inference(fof_simplification,[status(thm)],[dt_m2_fraenkel]) ).
fof(c_0_48,plain,
! [X44,X45] :
( m2_fraenkel(k6_autgroup(X44,X45),u1_struct_0(X44),u1_struct_0(X44),k4_autgroup(X44))
| ~ m1_subset_1(X45,u1_struct_0(X44))
| ~ l1_group_1(X44)
| ~ v4_group_1(X44)
| ~ v3_group_1(X44)
| ~ v1_group_1(X44)
| v3_struct_0(X44) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])]) ).
fof(c_0_49,plain,
! [X41] :
( m1_fraenkel(k4_autgroup(X41),u1_struct_0(X41),u1_struct_0(X41))
| ~ l1_group_1(X41)
| ~ v4_group_1(X41)
| ~ v3_group_1(X41)
| ~ v1_group_1(X41)
| v3_struct_0(X41) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])]) ).
cnf(c_0_50,plain,
( ~ l1_struct_0(X1)
| ~ v1_xboole_0(esk25_1(X1))
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_51,negated_conjecture,
( ~ v1_xboole_0(u1_struct_0(esk1_0))
| v1_xboole_0(esk25_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
fof(c_0_52,plain,
! [X1,X2,X3,X4,X5] :
( ( m1_relset_1(X5,X2,X3)
& v1_funct_2(X5,X2,X3)
& v1_funct_1(X5)
& m1_relset_1(X4,X1,X2)
& v1_funct_2(X4,X1,X2)
& v1_funct_1(X4)
& ~ v1_xboole_0(X2) )
=> k7_funct_2(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5) ),
inference(fof_simplification,[status(thm)],[redefinition_k7_funct_2]) ).
fof(c_0_53,plain,
! [X15,X16,X17] :
( ( ~ m1_relset_1(X17,X15,X16)
| ~ v1_partfun1(X17,X15,X16)
| ~ v1_funct_1(X17)
| v1_funct_2(X17,X15,X16) )
& ( ~ m1_relset_1(X17,X15,X16)
| ~ v1_partfun1(X17,X15,X16)
| ~ v1_funct_1(X17)
| v1_funct_1(X17) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_funct_2])])])]) ).
cnf(c_0_54,plain,
( ~ m2_relset_1(X1,X2,X3)
| m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_55,plain,
m2_relset_1(k6_partfun1(X1),X1,X1),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_56,plain,
v1_funct_1(k6_relat_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_57,plain,
k6_partfun1(X1) = k6_relat_1(X1),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
fof(c_0_58,plain,
! [X63,X64,X65,X66] :
( ( ~ m1_fraenkel(X65,X63,X64)
| v1_xboole_0(X64)
| ~ m2_fraenkel(X66,X63,X64,X65)
| m2_relset_1(X66,X63,X64) )
& ( ~ m1_fraenkel(X65,X63,X64)
| v1_xboole_0(X64)
| ~ m2_fraenkel(X66,X63,X64,X65)
| v1_funct_2(X66,X63,X64) )
& ( ~ m1_fraenkel(X65,X63,X64)
| v1_xboole_0(X64)
| ~ m2_fraenkel(X66,X63,X64,X65)
| v1_funct_1(X66) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_47])])])])]) ).
cnf(c_0_59,plain,
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| m2_fraenkel(k6_autgroup(X1,X2),u1_struct_0(X1),u1_struct_0(X1),k4_autgroup(X1))
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_60,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_61,negated_conjecture,
v4_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_62,negated_conjecture,
v3_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_63,negated_conjecture,
v1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_64,plain,
( ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| m1_fraenkel(k4_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1))
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_65,negated_conjecture,
( ~ v1_xboole_0(u1_struct_0(esk1_0))
| ~ l1_struct_0(esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_30]) ).
fof(c_0_66,plain,
! [X123,X124,X125,X126,X127] :
( k7_funct_2(X123,X124,X125,X126,X127) = k5_relat_1(X126,X127)
| ~ m1_relset_1(X127,X124,X125)
| ~ v1_funct_2(X127,X124,X125)
| ~ v1_funct_1(X127)
| ~ m1_relset_1(X126,X123,X124)
| ~ v1_funct_2(X126,X123,X124)
| ~ v1_funct_1(X126)
| v1_xboole_0(X124) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_52])])]) ).
cnf(c_0_67,plain,
( ~ m1_relset_1(X1,X2,X3)
| ~ v1_partfun1(X1,X2,X3)
| ~ v1_funct_1(X1)
| v1_funct_2(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_68,plain,
v1_partfun1(k6_partfun1(X1),X1,X1),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_69,plain,
m1_relset_1(k6_partfun1(X1),X1,X1),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_70,plain,
v1_funct_1(k6_partfun1(X1)),
inference(rw,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_71,plain,
( ~ m1_fraenkel(X4,X2,X3)
| ~ m2_fraenkel(X1,X2,X3,X4)
| v1_xboole_0(X3)
| m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_72,negated_conjecture,
m2_fraenkel(k6_autgroup(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k4_autgroup(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_32]),c_0_61]),c_0_62]),c_0_63])]),c_0_30]) ).
cnf(c_0_73,negated_conjecture,
m1_fraenkel(k4_autgroup(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_61]),c_0_32]),c_0_62]),c_0_63])]),c_0_30]) ).
cnf(c_0_74,negated_conjecture,
~ v1_xboole_0(u1_struct_0(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_28]),c_0_32])]) ).
cnf(c_0_75,plain,
( ~ m1_relset_1(X4,X1,X5)
| ~ v1_funct_2(X4,X1,X5)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X2,X3,X1)
| ~ v1_funct_2(X2,X3,X1)
| ~ v1_funct_1(X2)
| k7_funct_2(X3,X1,X5,X2,X4) = k5_relat_1(X2,X4)
| v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_76,plain,
v1_funct_2(k6_partfun1(X1),X1,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_69]),c_0_70])]) ).
cnf(c_0_77,plain,
( ~ m1_fraenkel(X4,X2,X3)
| ~ m2_fraenkel(X1,X2,X3,X4)
| v1_xboole_0(X3)
| v1_funct_2(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_78,negated_conjecture,
m2_relset_1(k6_autgroup(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_73])]),c_0_74]) ).
fof(c_0_79,plain,
! [X1,X2,X3] :
( ( m1_fraenkel(X3,X1,X2)
& ~ v1_xboole_0(X2) )
=> ! [X4] :
( m2_fraenkel(X4,X1,X2,X3)
<=> m1_subset_1(X4,X3) ) ),
inference(fof_simplification,[status(thm)],[redefinition_m2_fraenkel]) ).
cnf(c_0_80,plain,
( ~ v1_funct_1(X3)
| ~ m1_relset_1(X3,X1,X2)
| ~ v1_funct_2(X3,X1,X2)
| v1_xboole_0(X2)
| k7_funct_2(X1,X2,X2,X3,k6_partfun1(X2)) = k5_relat_1(X3,k6_partfun1(X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_69]),c_0_70])]) ).
cnf(c_0_81,negated_conjecture,
v1_funct_2(k6_autgroup(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_72]),c_0_73])]),c_0_74]) ).
cnf(c_0_82,negated_conjecture,
m1_relset_1(k6_autgroup(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_54,c_0_78]) ).
fof(c_0_83,plain,
! [X12,X13] :
( ( ~ v1_fraenkel(X12)
| ~ m1_subset_1(X13,X12)
| v1_funct_1(X13) )
& ( ~ v1_fraenkel(X12)
| ~ m1_subset_1(X13,X12)
| v1_relat_1(X13) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_fraenkel])])])])]) ).
fof(c_0_84,plain,
! [X134,X135,X136,X137] :
( ( ~ m1_fraenkel(X136,X134,X135)
| v1_xboole_0(X135)
| m2_fraenkel(X137,X134,X135,X136)
| ~ m1_subset_1(X137,X136) )
& ( ~ m1_fraenkel(X136,X134,X135)
| v1_xboole_0(X135)
| m1_subset_1(X137,X136)
| ~ m2_fraenkel(X137,X134,X135,X136) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_79])])])])]) ).
fof(c_0_85,plain,
! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& v1_group_1(X1)
& ~ v3_struct_0(X1) )
=> k6_autgroup(X1,k2_group_1(X1)) = k6_partfun1(u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[t24_autgroup]) ).
cnf(c_0_86,negated_conjecture,
( ~ v1_funct_1(k6_autgroup(esk1_0,esk2_0))
| k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k6_autgroup(esk1_0,esk2_0),k6_partfun1(u1_struct_0(esk1_0))) = k5_relat_1(k6_autgroup(esk1_0,esk2_0),k6_partfun1(u1_struct_0(esk1_0))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_82])]),c_0_74]) ).
cnf(c_0_87,plain,
( ~ v1_fraenkel(X2)
| ~ m1_subset_1(X1,X2)
| v1_funct_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_88,plain,
( ~ m1_fraenkel(X4,X2,X3)
| ~ m2_fraenkel(X1,X2,X3,X4)
| v1_xboole_0(X3)
| m1_subset_1(X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
fof(c_0_89,plain,
! [X1,X2,X3] :
( m1_fraenkel(X3,X1,X2)
=> ( v1_fraenkel(X3)
& ~ v1_xboole_0(X3) ) ),
inference(fof_simplification,[status(thm)],[dt_m1_fraenkel]) ).
fof(c_0_90,plain,
! [X147] :
( k6_autgroup(X147,k2_group_1(X147)) = k6_partfun1(u1_struct_0(X147))
| ~ l1_group_1(X147)
| ~ v4_group_1(X147)
| ~ v3_group_1(X147)
| ~ v1_group_1(X147)
| v3_struct_0(X147) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_85])])]) ).
cnf(c_0_91,negated_conjecture,
( ~ m1_subset_1(k6_autgroup(esk1_0,esk2_0),X1)
| ~ v1_fraenkel(X1)
| k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k6_autgroup(esk1_0,esk2_0),k6_partfun1(u1_struct_0(esk1_0))) = k5_relat_1(k6_autgroup(esk1_0,esk2_0),k6_partfun1(u1_struct_0(esk1_0))) ),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_92,negated_conjecture,
m1_subset_1(k6_autgroup(esk1_0,esk2_0),k4_autgroup(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_72]),c_0_73])]),c_0_74]) ).
fof(c_0_93,plain,
! [X60,X61,X62] :
( ( ~ m1_fraenkel(X62,X60,X61)
| v1_fraenkel(X62) )
& ( ~ m1_fraenkel(X62,X60,X61)
| ~ v1_xboole_0(X62) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_89])])])]) ).
fof(c_0_94,plain,
! [X128,X129,X130,X131,X132,X133] :
( k7_relset_1(X128,X129,X130,X131,X132,X133) = k5_relat_1(X132,X133)
| ~ m1_relset_1(X133,X130,X131)
| ~ m1_relset_1(X132,X128,X129) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k7_relset_1])])]) ).
cnf(c_0_95,plain,
( ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| k6_autgroup(X1,k2_group_1(X1)) = k6_partfun1(u1_struct_0(X1))
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_96,negated_conjecture,
( ~ v1_fraenkel(k4_autgroup(esk1_0))
| k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k6_autgroup(esk1_0,esk2_0),k6_partfun1(u1_struct_0(esk1_0))) = k5_relat_1(k6_autgroup(esk1_0,esk2_0),k6_partfun1(u1_struct_0(esk1_0))) ),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_97,plain,
( ~ m1_fraenkel(X1,X2,X3)
| v1_fraenkel(X1) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
fof(c_0_98,plain,
! [X144,X145,X146] :
( ( ~ m2_relset_1(X146,X144,X145)
| k7_relset_1(X144,X145,X145,X145,X146,k6_partfun1(X145)) = X146 )
& ( ~ m2_relset_1(X146,X144,X145)
| k7_relset_1(X144,X144,X144,X145,k6_partfun1(X144),X146) = X146 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t23_funct_2])])])]) ).
cnf(c_0_99,plain,
( ~ m1_relset_1(X4,X5,X6)
| ~ m1_relset_1(X1,X2,X3)
| k7_relset_1(X2,X3,X5,X6,X1,X4) = k5_relat_1(X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_100,negated_conjecture,
( k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k6_autgroup(esk1_0,esk2_0),k6_autgroup(esk1_0,k2_group_1(esk1_0))) != k6_autgroup(esk1_0,esk2_0)
| k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k6_autgroup(esk1_0,k2_group_1(esk1_0)),k6_autgroup(esk1_0,esk2_0)) != k6_autgroup(esk1_0,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_101,negated_conjecture,
k6_autgroup(esk1_0,k2_group_1(esk1_0)) = k6_partfun1(u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_61]),c_0_32]),c_0_62]),c_0_63])]),c_0_30]) ).
cnf(c_0_102,negated_conjecture,
( ~ m1_fraenkel(k4_autgroup(esk1_0),X1,X2)
| k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k6_autgroup(esk1_0,esk2_0),k6_partfun1(u1_struct_0(esk1_0))) = k5_relat_1(k6_autgroup(esk1_0,esk2_0),k6_partfun1(u1_struct_0(esk1_0))) ),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_103,plain,
( ~ m2_relset_1(X3,X1,X2)
| k7_relset_1(X1,X2,X2,X2,X3,k6_partfun1(X2)) = X3 ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_104,plain,
( ~ m1_relset_1(X4,X1,X2)
| k7_relset_1(X1,X2,X3,X3,X4,k6_partfun1(X3)) = k5_relat_1(X4,k6_partfun1(X3)) ),
inference(spm,[status(thm)],[c_0_99,c_0_69]) ).
cnf(c_0_105,plain,
( ~ m2_relset_1(X3,X1,X2)
| k7_relset_1(X1,X1,X1,X2,k6_partfun1(X1),X3) = X3 ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_106,negated_conjecture,
( ~ m1_relset_1(X3,X1,X2)
| k7_relset_1(X1,X2,u1_struct_0(esk1_0),u1_struct_0(esk1_0),X3,k6_autgroup(esk1_0,esk2_0)) = k5_relat_1(X3,k6_autgroup(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_99,c_0_82]) ).
cnf(c_0_107,negated_conjecture,
( k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k6_partfun1(u1_struct_0(esk1_0)),k6_autgroup(esk1_0,esk2_0)) != k6_autgroup(esk1_0,esk2_0)
| k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k6_autgroup(esk1_0,esk2_0),k6_partfun1(u1_struct_0(esk1_0))) != k6_autgroup(esk1_0,esk2_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_100,c_0_101]),c_0_101]) ).
cnf(c_0_108,negated_conjecture,
k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k6_autgroup(esk1_0,esk2_0),k6_partfun1(u1_struct_0(esk1_0))) = k5_relat_1(k6_autgroup(esk1_0,esk2_0),k6_partfun1(u1_struct_0(esk1_0))),
inference(spm,[status(thm)],[c_0_102,c_0_73]) ).
cnf(c_0_109,negated_conjecture,
k7_relset_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k6_autgroup(esk1_0,esk2_0),k6_partfun1(u1_struct_0(esk1_0))) = k6_autgroup(esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_103,c_0_78]) ).
cnf(c_0_110,negated_conjecture,
k7_relset_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),X1,X1,k6_autgroup(esk1_0,esk2_0),k6_partfun1(X1)) = k5_relat_1(k6_autgroup(esk1_0,esk2_0),k6_partfun1(X1)),
inference(spm,[status(thm)],[c_0_104,c_0_82]) ).
cnf(c_0_111,negated_conjecture,
( ~ v1_funct_1(X2)
| ~ v1_funct_1(k6_autgroup(esk1_0,esk2_0))
| ~ m1_relset_1(X2,X1,u1_struct_0(esk1_0))
| ~ v1_funct_2(X2,X1,u1_struct_0(esk1_0))
| k7_funct_2(X1,u1_struct_0(esk1_0),u1_struct_0(esk1_0),X2,k6_autgroup(esk1_0,esk2_0)) = k5_relat_1(X2,k6_autgroup(esk1_0,esk2_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_81]),c_0_82])]),c_0_74]) ).
cnf(c_0_112,plain,
( ~ m1_fraenkel(X4,X2,X3)
| ~ m2_fraenkel(X1,X2,X3,X4)
| v1_xboole_0(X3)
| v1_funct_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_113,negated_conjecture,
k7_relset_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k6_partfun1(u1_struct_0(esk1_0)),k6_autgroup(esk1_0,esk2_0)) = k6_autgroup(esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_105,c_0_78]) ).
cnf(c_0_114,negated_conjecture,
k7_relset_1(X1,X1,u1_struct_0(esk1_0),u1_struct_0(esk1_0),k6_partfun1(X1),k6_autgroup(esk1_0,esk2_0)) = k5_relat_1(k6_partfun1(X1),k6_autgroup(esk1_0,esk2_0)),
inference(spm,[status(thm)],[c_0_106,c_0_69]) ).
cnf(c_0_115,negated_conjecture,
( k5_relat_1(k6_autgroup(esk1_0,esk2_0),k6_partfun1(u1_struct_0(esk1_0))) != k6_autgroup(esk1_0,esk2_0)
| k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k6_partfun1(u1_struct_0(esk1_0)),k6_autgroup(esk1_0,esk2_0)) != k6_autgroup(esk1_0,esk2_0) ),
inference(rw,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_116,negated_conjecture,
k5_relat_1(k6_autgroup(esk1_0,esk2_0),k6_partfun1(u1_struct_0(esk1_0))) = k6_autgroup(esk1_0,esk2_0),
inference(rw,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_117,negated_conjecture,
( ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X1,u1_struct_0(esk1_0))
| ~ v1_funct_2(X2,X1,u1_struct_0(esk1_0))
| ~ m1_fraenkel(X5,X4,X3)
| ~ m2_fraenkel(k6_autgroup(esk1_0,esk2_0),X4,X3,X5)
| v1_xboole_0(X3)
| k7_funct_2(X1,u1_struct_0(esk1_0),u1_struct_0(esk1_0),X2,k6_autgroup(esk1_0,esk2_0)) = k5_relat_1(X2,k6_autgroup(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_118,negated_conjecture,
k5_relat_1(k6_partfun1(u1_struct_0(esk1_0)),k6_autgroup(esk1_0,esk2_0)) = k6_autgroup(esk1_0,esk2_0),
inference(rw,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_119,negated_conjecture,
k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k6_partfun1(u1_struct_0(esk1_0)),k6_autgroup(esk1_0,esk2_0)) != k6_autgroup(esk1_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_115,c_0_116])]) ).
cnf(c_0_120,negated_conjecture,
( ~ m1_fraenkel(X3,X2,X1)
| ~ m2_fraenkel(k6_autgroup(esk1_0,esk2_0),X2,X1,X3)
| v1_xboole_0(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_76]),c_0_118]),c_0_69]),c_0_70])]),c_0_119]) ).
cnf(c_0_121,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_72]),c_0_73])]),c_0_74]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP631+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n015.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 20 20:25:20 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 26.40/4.39 % Version: 3.5.1
% 26.40/4.39 % Preprocessing class: FSLSSMSSSSSNFFN.
% 26.40/4.39 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 26.40/4.39 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 26.40/4.39 % Starting new_bool_3 with 300s (1) cores
% 26.40/4.39 % Starting new_bool_1 with 300s (1) cores
% 26.40/4.39 % Starting sh5l with 300s (1) cores
% 26.40/4.39 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 3861135 completed with status 0
% 26.40/4.39 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 26.40/4.39 % Preprocessing class: FSLSSMSSSSSNFFN.
% 26.40/4.39 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 26.40/4.39 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 26.40/4.39 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 26.40/4.39 % No SInE strategy applied
% 26.40/4.39 % Search class: FGHSM-FFMM31-MFFFFFNN
% 26.40/4.39 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 26.40/4.39 % Starting SubtermCWHack with 136s (1) cores
% 26.40/4.39 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 26.40/4.39 % Starting G-E--_208_C12_02_nc_F1_SE_CS_SP_PS_S5PRR_RG_S070I with 113s (1) cores
% 26.40/4.39 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SE_S0Y with 113s (1) cores
% 26.40/4.39 % Starting G-E--_103_C18_F1_PI_AE_Q4_CS_SP_S0Y with 113s (1) cores
% 26.40/4.39 % G-E--_208_C12_02_nc_F1_SE_CS_SP_PS_S5PRR_RG_S070I with pid 3861147 completed with status 0
% 26.40/4.39 % Result found by G-E--_208_C12_02_nc_F1_SE_CS_SP_PS_S5PRR_RG_S070I
% 26.40/4.39 % Preprocessing class: FSLSSMSSSSSNFFN.
% 26.40/4.39 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 26.40/4.39 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 26.40/4.39 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 26.40/4.39 % No SInE strategy applied
% 26.40/4.39 % Search class: FGHSM-FFMM31-MFFFFFNN
% 26.40/4.39 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 26.40/4.39 % Starting SubtermCWHack with 136s (1) cores
% 26.40/4.39 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 26.40/4.39 % Starting G-E--_208_C12_02_nc_F1_SE_CS_SP_PS_S5PRR_RG_S070I with 113s (1) cores
% 26.40/4.39 % Preprocessing time : 0.003 s
% 26.40/4.39 % Presaturation interreduction done
% 26.40/4.39
% 26.40/4.39 % Proof found!
% 26.40/4.39 % SZS status Theorem
% 26.40/4.39 % SZS output start CNFRefutation
% See solution above
% 26.40/4.39 % Parsed axioms : 82
% 26.40/4.39 % Removed by relevancy pruning/SinE : 0
% 26.40/4.39 % Initial clauses : 166
% 26.40/4.39 % Removed in clause preprocessing : 23
% 26.40/4.39 % Initial clauses in saturation : 143
% 26.40/4.39 % Processed clauses : 5925
% 26.40/4.39 % ...of these trivial : 375
% 26.40/4.39 % ...subsumed : 1395
% 26.40/4.39 % ...remaining for further processing : 4155
% 26.40/4.39 % Other redundant clauses eliminated : 0
% 26.40/4.39 % Clauses deleted for lack of memory : 0
% 26.40/4.39 % Backward-subsumed : 275
% 26.40/4.39 % Backward-rewritten : 636
% 26.40/4.39 % Generated clauses : 105011
% 26.40/4.39 % ...of the previous two non-redundant : 104417
% 26.40/4.39 % ...aggressively subsumed : 0
% 26.40/4.39 % Contextual simplify-reflections : 94
% 26.40/4.39 % Paramodulations : 105007
% 26.40/4.39 % Factorizations : 2
% 26.40/4.39 % NegExts : 0
% 26.40/4.39 % Equation resolutions : 2
% 26.40/4.39 % Disequality decompositions : 0
% 26.40/4.39 % Total rewrite steps : 5637
% 26.40/4.39 % ...of those cached : 4796
% 26.40/4.39 % Propositional unsat checks : 0
% 26.40/4.39 % Propositional check models : 0
% 26.40/4.39 % Propositional check unsatisfiable : 0
% 26.40/4.39 % Propositional clauses : 0
% 26.40/4.39 % Propositional clauses after purity: 0
% 26.40/4.39 % Propositional unsat core size : 0
% 26.40/4.39 % Propositional preprocessing time : 0.000
% 26.40/4.39 % Propositional encoding time : 0.000
% 26.40/4.39 % Propositional solver time : 0.000
% 26.40/4.39 % Success case prop preproc time : 0.000
% 26.40/4.39 % Success case prop encoding time : 0.000
% 26.40/4.39 % Success case prop solver time : 0.000
% 26.40/4.39 % Current number of processed clauses : 3107
% 26.40/4.39 % Positive orientable unit clauses : 838
% 26.40/4.39 % Positive unorientable unit clauses: 0
% 26.40/4.39 % Negative unit clauses : 46
% 26.40/4.39 % Non-unit-clauses : 2223
% 26.40/4.39 % Current number of unprocessed clauses: 97716
% 26.40/4.39 % ...number of literals in the above : 433784
% 26.40/4.39 % Current number of archived formulas : 0
% 26.40/4.39 % Current number of archived clauses : 1049
% 26.40/4.39 % Clause-clause subsumption calls (NU) : 705223
% 26.40/4.39 % Rec. Clause-clause subsumption calls : 364638
% 26.40/4.39 % Non-unit clause-clause subsumptions : 1432
% 26.40/4.39 % Unit Clause-clause subsumption calls : 78653
% 26.40/4.39 % Rewrite failures with RHS unbound : 0
% 26.40/4.39 % BW rewrite match attempts : 8290
% 26.40/4.39 % BW rewrite match successes : 135
% 26.40/4.39 % Condensation attempts : 0
% 26.40/4.39 % Condensation successes : 0
% 26.40/4.39 % Termbank termtop insertions : 2925503
% 26.40/4.39 % Search garbage collected termcells : 1630
% 26.40/4.39
% 26.40/4.39 % -------------------------------------------------
% 26.40/4.39 % User time : 3.548 s
% 26.40/4.39 % System time : 0.126 s
% 26.40/4.39 % Total time : 3.674 s
% 26.40/4.39 % Maximum resident set size: 3980 pages
% 26.40/4.39
% 26.40/4.39 % -------------------------------------------------
% 26.40/4.39 % User time : 17.711 s
% 26.40/4.39 % System time : 0.736 s
% 26.40/4.39 % Total time : 18.447 s
% 26.40/4.39 % Maximum resident set size: 4864 pages
% 26.40/4.39 % E exiting
%------------------------------------------------------------------------------