%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GRP639+2 : TPTP v9.2.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n013.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 May 5 04:26:39 PM UTC 2026
% Result : Theorem 80.07s 49.84s
% Output : CNFRefutation 80.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 51 ( 17 unt; 0 def)
% Number of atoms : 262 ( 13 equ)
% Maximal formula atoms : 61 ( 5 avg)
% Number of connectives : 333 ( 122 ~; 120 |; 60 &)
% ( 3 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 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 67 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t12_latsubgr,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_group_1(X2)
& v4_group_1(X2)
& l1_group_1(X2) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ! [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] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,X1,X2)
& m1_relset_1(X3,X1,X2) )
=> 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(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(t158_relat_1,axiom,
! [X1,X2,X3] :
( v1_relat_1(X3)
=> ! [X4] :
( v1_relat_1(X4)
=> ( ( r1_tarski(X3,X4)
& r1_tarski(X1,X2) )
=> 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(d5_group_4,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ! [X3] :
( ( v1_group_1(X3)
& m1_group_2(X3,X1) )
=> ( X3 = k5_group_4(X1,X2)
<=> ( r1_tarski(X2,u1_struct_0(X3))
& ! [X4] :
( ( v1_group_1(X4)
& m1_group_2(X4,X1) )
=> ( r1_tarski(X2,u1_struct_0(X4))
=> m1_group_2(X3,X4) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+255.ax',d5_group_4) ).
fof(dt_k5_group_4,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> ( v1_group_1(k5_group_4(X1,X2))
& m1_group_2(k5_group_4(X1,X2),X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+255.ax',dt_k5_group_4) ).
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(c_0_10,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_group_1(X2)
& v4_group_1(X2)
& l1_group_1(X2) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ! [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)],[inference(assume_negation,[status(cth)],[t12_latsubgr])]) ).
fof(c_0_11,plain,
! [X1620,X1621,X1622,X1623] :
( ~ v1_funct_1(X1622)
| ~ v1_funct_2(X1622,X1620,X1621)
| ~ m1_relset_1(X1622,X1620,X1621)
| k2_funct_2(X1620,X1621,X1622,X1623) = k9_relat_1(X1622,X1623) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k2_funct_2])]) ).
fof(c_0_12,plain,
! [X1937,X1938,X1939] :
( ( ~ m2_relset_1(X1939,X1937,X1938)
| m1_relset_1(X1939,X1937,X1938) )
& ( ~ m1_relset_1(X1939,X1937,X1938)
| m2_relset_1(X1939,X1937,X1938) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).
fof(c_0_13,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v3_group_1(esk1_0)
& v4_group_1(esk1_0)
& l1_group_1(esk1_0)
& ~ v3_struct_0(esk2_0)
& v3_group_1(esk2_0)
& v4_group_1(esk2_0)
& l1_group_1(esk2_0)
& v1_funct_1(esk3_0)
& v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
& m2_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
& m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
& ~ 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(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])]) ).
cnf(c_0_14,plain,
( k2_funct_2(X2,X3,X1,X4) = k9_relat_1(X1,X4)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,X2,X3)
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_15,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_16,plain,
! [X2681,X2682,X2683] :
( ~ m1_subset_1(X2683,k1_zfmisc_1(k2_zfmisc_1(X2681,X2682)))
| v1_relat_1(X2683) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relset_1])]) ).
fof(c_0_17,plain,
! [X2684,X2685,X2686] :
( ~ m2_relset_1(X2686,X2684,X2685)
| m1_subset_1(X2686,k1_zfmisc_1(k2_zfmisc_1(X2684,X2685))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_relset_1])]) ).
cnf(c_0_18,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_13]) ).
cnf(c_0_19,plain,
( k2_funct_2(X1,X2,X3,X4) = k9_relat_1(X3,X4)
| ~ v1_funct_2(X3,X1,X2)
| ~ m2_relset_1(X3,X1,X2)
| ~ v1_funct_1(X3) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_20,negated_conjecture,
v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_21,negated_conjecture,
m2_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_22,negated_conjecture,
v1_funct_1(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_23,plain,
! [X2002,X2003,X2004,X2005] :
( ~ v1_relat_1(X2004)
| ~ v1_relat_1(X2005)
| ~ r1_tarski(X2004,X2005)
| ~ r1_tarski(X2002,X2003)
| r1_tarski(k9_relat_1(X2004,X2002),k9_relat_1(X2005,X2003)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t158_relat_1])])]) ).
fof(c_0_24,plain,
! [X1554,X1555] :
( ~ v1_relat_1(X1555)
| ~ r1_tarski(X1554,X1555)
| v1_relat_1(X1554) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_relat_1])]) ).
cnf(c_0_25,plain,
( v1_relat_1(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_26,plain,
( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_27,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ! [X3] :
( ( v1_group_1(X3)
& m1_group_2(X3,X1) )
=> ( X3 = k5_group_4(X1,X2)
<=> ( r1_tarski(X2,u1_struct_0(X3))
& ! [X4] :
( ( v1_group_1(X4)
& m1_group_2(X4,X1) )
=> ( r1_tarski(X2,u1_struct_0(X4))
=> m1_group_2(X3,X4) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[d5_group_4]) ).
fof(c_0_28,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> ( v1_group_1(k5_group_4(X1,X2))
& m1_group_2(k5_group_4(X1,X2),X1) ) ),
inference(fof_simplification,[status(thm)],[dt_k5_group_4]) ).
cnf(c_0_29,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)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]),c_0_21]),c_0_22])]) ).
cnf(c_0_30,plain,
( r1_tarski(k9_relat_1(X1,X3),k9_relat_1(X2,X4))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| ~ r1_tarski(X1,X2)
| ~ r1_tarski(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_31,plain,
( v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ r1_tarski(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_32,plain,
( v1_relat_1(X1)
| ~ m2_relset_1(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
fof(c_0_33,plain,
! [X1529] : r1_tarski(X1529,X1529),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[reflexivity_r1_tarski])]) ).
fof(c_0_34,plain,
! [X1640,X1641,X1642,X1643] :
( ( r1_tarski(X1641,u1_struct_0(X1642))
| X1642 != k5_group_4(X1640,X1641)
| ~ v1_group_1(X1642)
| ~ m1_group_2(X1642,X1640)
| ~ m1_subset_1(X1641,k1_zfmisc_1(u1_struct_0(X1640)))
| v3_struct_0(X1640)
| ~ v3_group_1(X1640)
| ~ v4_group_1(X1640)
| ~ l1_group_1(X1640) )
& ( ~ v1_group_1(X1643)
| ~ m1_group_2(X1643,X1640)
| ~ r1_tarski(X1641,u1_struct_0(X1643))
| m1_group_2(X1642,X1643)
| X1642 != k5_group_4(X1640,X1641)
| ~ v1_group_1(X1642)
| ~ m1_group_2(X1642,X1640)
| ~ m1_subset_1(X1641,k1_zfmisc_1(u1_struct_0(X1640)))
| v3_struct_0(X1640)
| ~ v3_group_1(X1640)
| ~ v4_group_1(X1640)
| ~ l1_group_1(X1640) )
& ( v1_group_1(esk12_3(X1640,X1641,X1642))
| ~ r1_tarski(X1641,u1_struct_0(X1642))
| X1642 = k5_group_4(X1640,X1641)
| ~ v1_group_1(X1642)
| ~ m1_group_2(X1642,X1640)
| ~ m1_subset_1(X1641,k1_zfmisc_1(u1_struct_0(X1640)))
| v3_struct_0(X1640)
| ~ v3_group_1(X1640)
| ~ v4_group_1(X1640)
| ~ l1_group_1(X1640) )
& ( m1_group_2(esk12_3(X1640,X1641,X1642),X1640)
| ~ r1_tarski(X1641,u1_struct_0(X1642))
| X1642 = k5_group_4(X1640,X1641)
| ~ v1_group_1(X1642)
| ~ m1_group_2(X1642,X1640)
| ~ m1_subset_1(X1641,k1_zfmisc_1(u1_struct_0(X1640)))
| v3_struct_0(X1640)
| ~ v3_group_1(X1640)
| ~ v4_group_1(X1640)
| ~ l1_group_1(X1640) )
& ( r1_tarski(X1641,u1_struct_0(esk12_3(X1640,X1641,X1642)))
| ~ r1_tarski(X1641,u1_struct_0(X1642))
| X1642 = k5_group_4(X1640,X1641)
| ~ v1_group_1(X1642)
| ~ m1_group_2(X1642,X1640)
| ~ m1_subset_1(X1641,k1_zfmisc_1(u1_struct_0(X1640)))
| v3_struct_0(X1640)
| ~ v3_group_1(X1640)
| ~ v4_group_1(X1640)
| ~ l1_group_1(X1640) )
& ( ~ m1_group_2(X1642,esk12_3(X1640,X1641,X1642))
| ~ r1_tarski(X1641,u1_struct_0(X1642))
| X1642 = k5_group_4(X1640,X1641)
| ~ v1_group_1(X1642)
| ~ m1_group_2(X1642,X1640)
| ~ m1_subset_1(X1641,k1_zfmisc_1(u1_struct_0(X1640)))
| v3_struct_0(X1640)
| ~ v3_group_1(X1640)
| ~ v4_group_1(X1640)
| ~ l1_group_1(X1640) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])])])]) ).
fof(c_0_35,plain,
! [X1662,X1663] :
( ( v1_group_1(k5_group_4(X1662,X1663))
| v3_struct_0(X1662)
| ~ v3_group_1(X1662)
| ~ v4_group_1(X1662)
| ~ l1_group_1(X1662)
| ~ m1_subset_1(X1663,k1_zfmisc_1(u1_struct_0(X1662))) )
& ( m1_group_2(k5_group_4(X1662,X1663),X1662)
| v3_struct_0(X1662)
| ~ v3_group_1(X1662)
| ~ v4_group_1(X1662)
| ~ l1_group_1(X1662)
| ~ m1_subset_1(X1663,k1_zfmisc_1(u1_struct_0(X1662))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])]) ).
cnf(c_0_36,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)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_19]),c_0_20]),c_0_21]),c_0_22])]) ).
cnf(c_0_37,plain,
( r1_tarski(k9_relat_1(X1,X2),k9_relat_1(X3,X4))
| ~ v1_relat_1(X3)
| ~ r1_tarski(X2,X4)
| ~ r1_tarski(X1,X3) ),
inference(csr,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_38,negated_conjecture,
v1_relat_1(esk3_0),
inference(spm,[status(thm)],[c_0_32,c_0_21]) ).
cnf(c_0_39,plain,
r1_tarski(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_40,plain,
( r1_tarski(X1,u1_struct_0(X2))
| v3_struct_0(X3)
| X2 != k5_group_4(X3,X1)
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X3)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X3)))
| ~ v3_group_1(X3)
| ~ v4_group_1(X3)
| ~ l1_group_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_41,plain,
( v1_group_1(k5_group_4(X1,X2))
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_42,plain,
( m1_group_2(k5_group_4(X1,X2),X1)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_43,negated_conjecture,
~ r1_tarski(esk4_0,u1_struct_0(k5_group_4(esk1_0,esk4_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]),c_0_39])]) ).
cnf(c_0_44,plain,
( v3_struct_0(X1)
| r1_tarski(X2,u1_struct_0(k5_group_4(X1,X2)))
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_40]),c_0_41]),c_0_42]) ).
cnf(c_0_45,negated_conjecture,
v4_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_46,negated_conjecture,
v3_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_47,negated_conjecture,
l1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_48,negated_conjecture,
m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_49,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_50,negated_conjecture,
$false,
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_43,c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48])]),c_0_49]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP639+2 : TPTP v9.2.1. Released v3.4.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.33 % Computer : n013.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Mon May 4 18:53:11 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 63.24/33.10 % Warning 104: No lemmas were extracted from the log file '/export/starexec/sandbox/solver/bin/output/initial_lemmas_CSE.log'. Continuing with baseline prover only.
% 80.07/49.84 % Version : CSE_E---1.7
% 80.07/49.84 % Problem : theBenchmark.p
% 80.07/49.84 % SZS status Theorem for theBenchmark.p
% 80.07/49.84 % SZS output start CNFRefutation
% See solution above
% 80.40/50.15 % Total time : 38.126s
%------------------------------------------------------------------------------