%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GRP639+4 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 12:40:30 PM UTC 2026
% Result : Theorem 156.37s 35.72s
% Output : CNFRefutation 156.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 52 ( 14 unt; 0 def)
% Number of atoms : 277 ( 12 equ)
% Maximal formula atoms : 61 ( 5 avg)
% Number of connectives : 354 ( 129 ~; 122 |; 68 &)
% ( 3 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-4 aty)
% Number of variables : 107 ( 5 sgn 71 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t12_latsubgr,conjecture,
! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l1_group_1(X2)
& v4_group_1(X2)
& v3_group_1(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X3) )
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
=> r1_tarski(k2_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,X4),k2_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,u1_struct_0(k5_group_4(X1,X4)))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_latsubgr) ).
fof(redefinition_k2_funct_2,axiom,
! [X1,X2,X3,X4] :
( ( m1_relset_1(X3,X1,X2)
& v1_funct_2(X3,X1,X2)
& v1_funct_1(X3) )
=> k2_funct_2(X1,X2,X3,X4) = k9_relat_1(X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+20.ax',redefinition_k2_funct_2) ).
fof(t158_relat_1,axiom,
! [X1,X2,X3] :
( v1_relat_1(X3)
=> ! [X4] :
( v1_relat_1(X4)
=> ( ( r1_tarski(X1,X2)
& r1_tarski(X3,X4) )
=> r1_tarski(k9_relat_1(X3,X1),k9_relat_1(X4,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t158_relat_1) ).
fof(t3_relat_1,axiom,
! [X1,X2] :
( v1_relat_1(X2)
=> ( r1_tarski(X1,X2)
=> v1_relat_1(X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t3_relat_1) ).
fof(reflexivity_r1_tarski,axiom,
! [X1,X2] : r1_tarski(X1,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+1.ax',reflexivity_r1_tarski) ).
fof(d5_group_4,axiom,
! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ! [X3] :
( ( m1_group_2(X3,X1)
& v1_group_1(X3) )
=> ( X3 = k5_group_4(X1,X2)
<=> ( ! [X4] :
( ( m1_group_2(X4,X1)
& v1_group_1(X4) )
=> ( r1_tarski(X2,u1_struct_0(X4))
=> m1_group_2(X3,X4) ) )
& r1_tarski(X2,u1_struct_0(X3)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+255.ax',d5_group_4) ).
fof(dt_k5_group_4,axiom,
! [X1,X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ( m1_group_2(k5_group_4(X1,X2),X1)
& v1_group_1(k5_group_4(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+255.ax',dt_k5_group_4) ).
fof(redefinition_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
<=> m1_relset_1(X3,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+16.ax',redefinition_m2_relset_1) ).
fof(cc1_relset_1,axiom,
! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
=> v1_relat_1(X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+16.ax',cc1_relset_1) ).
fof(dt_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
=> m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+16.ax',dt_m2_relset_1) ).
fof(c_0_10,negated_conjecture,
~ ! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l1_group_1(X2)
& v4_group_1(X2)
& v3_group_1(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X3) )
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
=> r1_tarski(k2_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,X4),k2_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,u1_struct_0(k5_group_4(X1,X4)))) ) ) ) ),
inference(assume_negation,[status(cth)],[t12_latsubgr]) ).
fof(c_0_11,negated_conjecture,
~ ! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l1_group_1(X2)
& v4_group_1(X2)
& v3_group_1(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X3) )
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
=> r1_tarski(k2_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,X4),k2_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,u1_struct_0(k5_group_4(X1,X4)))) ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_10]) ).
fof(c_0_12,negated_conjecture,
( ~ r1_tarski(k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,esk4_0),k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,u1_struct_0(k5_group_4(esk1_0,esk4_0))))
& m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
& m2_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
& v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
& v1_funct_1(esk3_0)
& l1_group_1(esk2_0)
& v4_group_1(esk2_0)
& v3_group_1(esk2_0)
& ~ v3_struct_0(esk2_0)
& l1_group_1(esk1_0)
& v4_group_1(esk1_0)
& v3_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_11])])])]) ).
fof(c_0_13,plain,
! [X155,X156,X157,X158] :
( k2_funct_2(X155,X156,X157,X158) = k9_relat_1(X157,X158)
| ~ m1_relset_1(X157,X155,X156)
| ~ v1_funct_2(X157,X155,X156)
| ~ v1_funct_1(X157) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k2_funct_2])])]) ).
cnf(c_0_14,negated_conjecture,
~ r1_tarski(k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,esk4_0),k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,u1_struct_0(k5_group_4(esk1_0,esk4_0)))),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_15,plain,
( ~ m1_relset_1(X1,X2,X3)
| ~ v1_funct_2(X1,X2,X3)
| ~ v1_funct_1(X1)
| k2_funct_2(X2,X3,X1,X4) = k9_relat_1(X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_16,negated_conjecture,
v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_17,negated_conjecture,
v1_funct_1(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_18,plain,
! [X727,X728,X729,X730] :
( r1_tarski(k9_relat_1(X729,X727),k9_relat_1(X730,X728))
| ~ r1_tarski(X727,X728)
| ~ r1_tarski(X729,X730)
| ~ v1_relat_1(X730)
| ~ v1_relat_1(X729) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t158_relat_1])])])]) ).
fof(c_0_19,plain,
! [X87,X88] :
( v1_relat_1(X87)
| ~ r1_tarski(X87,X88)
| ~ v1_relat_1(X88) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_relat_1])])]) ).
cnf(c_0_20,negated_conjecture,
( ~ r1_tarski(k9_relat_1(esk3_0,esk4_0),k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,u1_struct_0(k5_group_4(esk1_0,esk4_0))))
| ~ m1_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]),c_0_17])]) ).
cnf(c_0_21,plain,
( ~ r1_tarski(X3,X4)
| ~ r1_tarski(X1,X2)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| r1_tarski(k9_relat_1(X1,X3),k9_relat_1(X2,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_22,plain,
( ~ r1_tarski(X2,X1)
| ~ v1_relat_1(X1)
| v1_relat_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_23,plain,
! [X62] : r1_tarski(X62,X62),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[reflexivity_r1_tarski])]) ).
fof(c_0_24,plain,
! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ! [X3] :
( ( m1_group_2(X3,X1)
& v1_group_1(X3) )
=> ( X3 = k5_group_4(X1,X2)
<=> ( ! [X4] :
( ( m1_group_2(X4,X1)
& v1_group_1(X4) )
=> ( r1_tarski(X2,u1_struct_0(X4))
=> m1_group_2(X3,X4) ) )
& r1_tarski(X2,u1_struct_0(X3)) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[d5_group_4]) ).
fof(c_0_25,plain,
! [X1,X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ( m1_group_2(k5_group_4(X1,X2),X1)
& v1_group_1(k5_group_4(X1,X2)) ) ),
inference(fof_simplification,[status(thm)],[dt_k5_group_4]) ).
cnf(c_0_26,negated_conjecture,
( ~ r1_tarski(k9_relat_1(esk3_0,esk4_0),k9_relat_1(esk3_0,u1_struct_0(k5_group_4(esk1_0,esk4_0))))
| ~ m1_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_15]),c_0_16]),c_0_17])]) ).
cnf(c_0_27,plain,
( ~ r1_tarski(X1,X3)
| ~ r1_tarski(X2,X4)
| ~ v1_relat_1(X3)
| r1_tarski(k9_relat_1(X1,X2),k9_relat_1(X3,X4)) ),
inference(csr,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_28,plain,
r1_tarski(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_29,plain,
! [X655,X656,X657] :
( ( m2_relset_1(X657,X655,X656)
| ~ m1_relset_1(X657,X655,X656) )
& ( m1_relset_1(X657,X655,X656)
| ~ m2_relset_1(X657,X655,X656) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])])]) ).
fof(c_0_30,plain,
! [X221,X222,X223,X224] :
( ( ~ l1_group_1(X221)
| ~ v4_group_1(X221)
| ~ v3_group_1(X221)
| v3_struct_0(X221)
| ~ m1_subset_1(X222,k1_zfmisc_1(u1_struct_0(X221)))
| ~ m1_group_2(X223,X221)
| ~ v1_group_1(X223)
| X223 = k5_group_4(X221,X222)
| ~ r1_tarski(X222,u1_struct_0(X223))
| ~ m1_group_2(X223,esk14_3(X221,X222,X223)) )
& ( ~ l1_group_1(X221)
| ~ v4_group_1(X221)
| ~ v3_group_1(X221)
| v3_struct_0(X221)
| ~ m1_subset_1(X222,k1_zfmisc_1(u1_struct_0(X221)))
| ~ m1_group_2(X223,X221)
| ~ v1_group_1(X223)
| X223 = k5_group_4(X221,X222)
| ~ r1_tarski(X222,u1_struct_0(X223))
| r1_tarski(X222,u1_struct_0(esk14_3(X221,X222,X223))) )
& ( ~ l1_group_1(X221)
| ~ v4_group_1(X221)
| ~ v3_group_1(X221)
| v3_struct_0(X221)
| ~ m1_subset_1(X222,k1_zfmisc_1(u1_struct_0(X221)))
| ~ m1_group_2(X223,X221)
| ~ v1_group_1(X223)
| X223 = k5_group_4(X221,X222)
| ~ r1_tarski(X222,u1_struct_0(X223))
| m1_group_2(esk14_3(X221,X222,X223),X221) )
& ( ~ l1_group_1(X221)
| ~ v4_group_1(X221)
| ~ v3_group_1(X221)
| v3_struct_0(X221)
| ~ m1_subset_1(X222,k1_zfmisc_1(u1_struct_0(X221)))
| ~ m1_group_2(X223,X221)
| ~ v1_group_1(X223)
| X223 = k5_group_4(X221,X222)
| ~ r1_tarski(X222,u1_struct_0(X223))
| v1_group_1(esk14_3(X221,X222,X223)) )
& ( ~ l1_group_1(X221)
| ~ v4_group_1(X221)
| ~ v3_group_1(X221)
| v3_struct_0(X221)
| ~ m1_subset_1(X222,k1_zfmisc_1(u1_struct_0(X221)))
| ~ m1_group_2(X223,X221)
| ~ v1_group_1(X223)
| X223 != k5_group_4(X221,X222)
| m1_group_2(X223,X224)
| ~ r1_tarski(X222,u1_struct_0(X224))
| ~ m1_group_2(X224,X221)
| ~ v1_group_1(X224) )
& ( ~ l1_group_1(X221)
| ~ v4_group_1(X221)
| ~ v3_group_1(X221)
| v3_struct_0(X221)
| ~ m1_subset_1(X222,k1_zfmisc_1(u1_struct_0(X221)))
| ~ m1_group_2(X223,X221)
| ~ v1_group_1(X223)
| X223 != k5_group_4(X221,X222)
| r1_tarski(X222,u1_struct_0(X223)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])])])])]) ).
fof(c_0_31,plain,
! [X237,X238] :
( ( ~ m1_subset_1(X238,k1_zfmisc_1(u1_struct_0(X237)))
| ~ l1_group_1(X237)
| ~ v4_group_1(X237)
| ~ v3_group_1(X237)
| v3_struct_0(X237)
| m1_group_2(k5_group_4(X237,X238),X237) )
& ( ~ m1_subset_1(X238,k1_zfmisc_1(u1_struct_0(X237)))
| ~ l1_group_1(X237)
| ~ v4_group_1(X237)
| ~ v3_group_1(X237)
| v3_struct_0(X237)
| v1_group_1(k5_group_4(X237,X238)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])])]) ).
fof(c_0_32,plain,
! [X1213,X1214,X1215] :
( v1_relat_1(X1215)
| ~ m1_subset_1(X1215,k1_zfmisc_1(k2_zfmisc_1(X1213,X1214))) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relset_1])])]) ).
fof(c_0_33,plain,
! [X1216,X1217,X1218] :
( m1_subset_1(X1218,k1_zfmisc_1(k2_zfmisc_1(X1216,X1217)))
| ~ m2_relset_1(X1218,X1216,X1217) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_relset_1])])]) ).
cnf(c_0_34,negated_conjecture,
( ~ r1_tarski(esk4_0,u1_struct_0(k5_group_4(esk1_0,esk4_0)))
| ~ v1_relat_1(esk3_0)
| ~ m1_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28])]) ).
cnf(c_0_35,plain,
( ~ m2_relset_1(X1,X2,X3)
| m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_36,negated_conjecture,
m2_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_37,plain,
( ~ l1_group_1(X3)
| ~ v4_group_1(X3)
| ~ v3_group_1(X3)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X3)))
| ~ m1_group_2(X2,X3)
| ~ v1_group_1(X2)
| X2 != k5_group_4(X3,X1)
| v3_struct_0(X3)
| r1_tarski(X1,u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_38,plain,
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| v1_group_1(k5_group_4(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_39,plain,
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| m1_group_2(k5_group_4(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_40,plain,
( ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| v1_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_41,plain,
( ~ m2_relset_1(X1,X2,X3)
| m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_42,negated_conjecture,
( ~ r1_tarski(esk4_0,u1_struct_0(k5_group_4(esk1_0,esk4_0)))
| ~ v1_relat_1(esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36])]) ).
cnf(c_0_43,plain,
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| r1_tarski(X2,u1_struct_0(k5_group_4(X1,X2)))
| v3_struct_0(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_37]),c_0_38]),c_0_39]) ).
cnf(c_0_44,negated_conjecture,
v4_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_45,negated_conjecture,
v3_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_46,negated_conjecture,
l1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_47,negated_conjecture,
m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_48,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_49,plain,
( ~ m2_relset_1(X1,X2,X3)
| v1_relat_1(X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_50,negated_conjecture,
~ v1_relat_1(esk3_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_42,c_0_43]),c_0_44]),c_0_45]),c_0_46]),c_0_47])]),c_0_48]) ).
cnf(c_0_51,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_36]),c_0_50]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP639+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.40 % Computer : n014.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Sun Sep 20 20:24:35 UTC 2026
% 0.14/0.41 % CPUTime :
% 0.14/0.41 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 156.37/35.72 % Version: 3.5.1
% 156.37/35.72 % Preprocessing class: FMLLMLLLSSSNFFN.
% 156.37/35.72 % Scheduled 4 strats onto 8 cores with 297 seconds (2376 total)
% 156.37/35.72 % Starting new_bool_3 with 891s (3) cores
% 156.37/35.72 % Starting new_bool_1 with 891s (3) cores
% 156.37/35.72 % Starting sh5l with 297s (1) cores
% 156.37/35.72 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 297s (1) cores
% 156.37/35.72 % G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with pid 2292178 completed with status 0
% 156.37/35.72 % Result found by G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y
% 156.37/35.72 % Preprocessing class: FMLLMLLLSSSNFFN.
% 156.37/35.72 % Scheduled 4 strats onto 8 cores with 297 seconds (2376 total)
% 156.37/35.72 % Starting new_bool_3 with 891s (3) cores
% 156.37/35.72 % Starting new_bool_1 with 891s (3) cores
% 156.37/35.72 % Starting sh5l with 297s (1) cores
% 156.37/35.72 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 297s (1) cores
% 156.37/35.72 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 156.37/35.72 % SinE strategy is gf120_h_gu_R02_F100_L20000
% 156.37/35.72 % Search class: FGHSM-SMLM32-MFFFFFNN
% 156.37/35.72 % Scheduled 13 strats onto 1 cores with 297 seconds (297 total)
% 156.37/35.72 % Starting SubtermCWHack with 27s (1) cores
% 156.37/35.72 % SubtermCWHack with pid 2292179 completed with status 8
% 156.37/35.72 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 30s (1) cores
% 156.37/35.72 % G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with pid 2292187 completed with status 0
% 156.37/35.72 % Result found by G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y
% 156.37/35.72 % Preprocessing class: FMLLMLLLSSSNFFN.
% 156.37/35.72 % Scheduled 4 strats onto 8 cores with 297 seconds (2376 total)
% 156.37/35.72 % Starting new_bool_3 with 891s (3) cores
% 156.37/35.72 % Starting new_bool_1 with 891s (3) cores
% 156.37/35.72 % Starting sh5l with 297s (1) cores
% 156.37/35.72 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 297s (1) cores
% 156.37/35.72 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 156.37/35.72 % SinE strategy is gf120_h_gu_R02_F100_L20000
% 156.37/35.72 % Search class: FGHSM-SMLM32-MFFFFFNN
% 156.37/35.72 % Scheduled 13 strats onto 1 cores with 297 seconds (297 total)
% 156.37/35.72 % Starting SubtermCWHack with 27s (1) cores
% 156.37/35.72 % SubtermCWHack with pid 2292179 completed with status 8
% 156.37/35.72 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 30s (1) cores
% 156.37/35.72 % Preprocessing time : 0.101 s
% 156.37/35.72
% 156.37/35.72 % Proof found!
% 156.37/35.72 % SZS status Theorem
% 156.37/35.72 % SZS output start CNFRefutation
% See solution above
% 156.37/35.72 % Parsed axioms : 36501
% 156.37/35.72 % Removed by relevancy pruning/SinE : 35810
% 156.37/35.72 % Initial clauses : 1334
% 156.37/35.72 % Removed in clause preprocessing : 59
% 156.37/35.72 % Initial clauses in saturation : 1275
% 156.37/35.72 % Processed clauses : 6870
% 156.37/35.72 % ...of these trivial : 52
% 156.37/35.72 % ...subsumed : 3497
% 156.37/35.72 % ...remaining for further processing : 3321
% 156.37/35.72 % Other redundant clauses eliminated : 147
% 156.37/35.72 % Clauses deleted for lack of memory : 0
% 156.37/35.72 % Backward-subsumed : 81
% 156.37/35.72 % Backward-rewritten : 70
% 156.37/35.72 % Generated clauses : 37243
% 156.37/35.72 % ...of the previous two non-redundant : 34941
% 156.37/35.72 % ...aggressively subsumed : 0
% 156.37/35.72 % Contextual simplify-reflections : 105
% 156.37/35.72 % Paramodulations : 37085
% 156.37/35.72 % Factorizations : 3
% 156.37/35.72 % NegExts : 0
% 156.37/35.72 % Equation resolutions : 163
% 156.37/35.72 % Disequality decompositions : 0
% 156.37/35.72 % Total rewrite steps : 5880
% 156.37/35.72 % ...of those cached : 5240
% 156.37/35.72 % Propositional unsat checks : 0
% 156.37/35.72 % Propositional check models : 0
% 156.37/35.72 % Propositional check unsatisfiable : 0
% 156.37/35.72 % Propositional clauses : 0
% 156.37/35.72 % Propositional clauses after purity: 0
% 156.37/35.72 % Propositional unsat core size : 0
% 156.37/35.72 % Propositional preprocessing time : 0.000
% 156.37/35.72 % Propositional encoding time : 0.000
% 156.37/35.72 % Propositional solver time : 0.000
% 156.37/35.72 % Success case prop preproc time : 0.000
% 156.37/35.72 % Success case prop encoding time : 0.000
% 156.37/35.72 % Success case prop solver time : 0.000
% 156.37/35.72 % Current number of processed clauses : 3065
% 156.37/35.72 % Positive orientable unit clauses : 230
% 156.37/35.72 % Positive unorientable unit clauses: 0
% 156.37/35.72 % Negative unit clauses : 355
% 156.37/35.72 % Non-unit-clauses : 2480
% 156.37/35.72 % Current number of unprocessed clauses: 29056
% 156.37/35.72 % ...number of literals in the above : 162345
% 156.37/35.72 % Current number of archived formulas : 0
% 156.37/35.72 % Current number of archived clauses : 152
% 156.37/35.72 % Clause-clause subsumption calls (NU) : 954192
% 156.37/35.72 % Rec. Clause-clause subsumption calls : 249426
% 156.37/35.72 % Non-unit clause-clause subsumptions : 1977
% 156.37/35.72 % Unit Clause-clause subsumption calls : 87198
% 156.37/35.72 % Rewrite failures with RHS unbound : 0
% 156.37/35.72 % BW rewrite match attempts : 115
% 156.37/35.72 % BW rewrite match successes : 25
% 156.37/35.72 % Condensation attempts : 0
% 156.37/35.72 % Condensation successes : 0
% 156.37/35.72 % Termbank termtop insertions : 1811750
% 156.37/35.72 % Search garbage collected termcells : 385852
% 156.37/35.72
% 156.37/35.72 % -------------------------------------------------
% 156.37/35.72 % User time : 29.326 s
% 156.37/35.72 % System time : 0.969 s
% 156.37/35.72 % Total time : 30.296 s
% 156.37/35.72 % Maximum resident set size: 74384 pages
% 156.37/35.72
% 156.37/35.72 % -------------------------------------------------
% 156.37/35.72 % User time : 32.794 s
% 156.37/35.72 % System time : 1.137 s
% 156.37/35.72 % Total time : 33.932 s
% 156.37/35.72 % Maximum resident set size: 60160 pages
% 156.37/35.72 % E exiting
%------------------------------------------------------------------------------