%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GRP643+4 : 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 : n031.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 04:26:41 PM UTC 2026
% Result : Theorem 285.18s 245.67s
% Output : CNFRefutation 285.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 48 ( 17 unt; 0 def)
% Number of atoms : 298 ( 14 equ)
% Maximal formula atoms : 38 ( 6 avg)
% Number of connectives : 388 ( 138 ~; 140 |; 70 &)
% ( 4 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-3 aty)
% Number of variables : 75 ( 0 sgn 50 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d1_latsubgr,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
& m2_relset_1(X2,k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1))) )
=> ( X2 = k1_latsubgr(X1)
<=> ! [X3] :
( ( v1_group_1(X3)
& m1_group_2(X3,X1) )
=> k1_funct_1(X2,X3) = u1_struct_0(X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_latsubgr) ).
fof(dt_k1_latsubgr,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ( v1_funct_1(k1_latsubgr(X1))
& v1_funct_2(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
& m2_relset_1(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_latsubgr) ).
fof(t21_latsubgr,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_group_1(X2)
& m1_group_2(X2,X1) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( ( r2_hidden(X3,k1_funct_1(k1_latsubgr(X1),X2))
& r2_hidden(X4,k1_funct_1(k1_latsubgr(X1),X2)) )
=> r2_hidden(k1_group_1(X1,X3,X4),k1_funct_1(k1_latsubgr(X1),X2)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_latsubgr) ).
fof(t18_latsubgr,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_group_1(X2)
& m1_group_2(X2,X1) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( r2_hidden(X3,k1_funct_1(k1_latsubgr(X1),X2))
<=> r1_rlvect_1(X2,X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_latsubgr) ).
fof(dt_k1_group_1,axiom,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& l1_group_1(X1)
& m1_subset_1(X2,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X1)) )
=> m1_subset_1(k1_group_1(X1,X2,X3),u1_struct_0(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+212.ax',dt_k1_group_1) ).
fof(t59_group_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_group_2(X4,X1)
=> ( ( r1_rlvect_1(X4,X2)
& r1_rlvect_1(X4,X3) )
=> r1_rlvect_1(X4,k1_group_1(X1,X2,X3)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+246.ax',t59_group_2) ).
fof(c_0_6,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
& m2_relset_1(X2,k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1))) )
=> ( X2 = k1_latsubgr(X1)
<=> ! [X3] :
( ( v1_group_1(X3)
& m1_group_2(X3,X1) )
=> k1_funct_1(X2,X3) = u1_struct_0(X3) ) ) ) ),
inference(fof_simplification,[status(thm)],[d1_latsubgr]) ).
fof(c_0_7,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ( v1_funct_1(k1_latsubgr(X1))
& v1_funct_2(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
& m2_relset_1(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1))) ) ),
inference(fof_simplification,[status(thm)],[dt_k1_latsubgr]) ).
fof(c_0_8,plain,
! [X556,X557,X558] :
( ( X557 != k1_latsubgr(X556)
| ~ v1_group_1(X558)
| ~ m1_group_2(X558,X556)
| k1_funct_1(X557,X558) = u1_struct_0(X558)
| ~ v1_funct_1(X557)
| ~ v1_funct_2(X557,k1_group_3(X556),k1_zfmisc_1(u1_struct_0(X556)))
| ~ m2_relset_1(X557,k1_group_3(X556),k1_zfmisc_1(u1_struct_0(X556)))
| v3_struct_0(X556)
| ~ v3_group_1(X556)
| ~ v4_group_1(X556)
| ~ l1_group_1(X556) )
& ( v1_group_1(esk11_2(X556,X557))
| X557 = k1_latsubgr(X556)
| ~ v1_funct_1(X557)
| ~ v1_funct_2(X557,k1_group_3(X556),k1_zfmisc_1(u1_struct_0(X556)))
| ~ m2_relset_1(X557,k1_group_3(X556),k1_zfmisc_1(u1_struct_0(X556)))
| v3_struct_0(X556)
| ~ v3_group_1(X556)
| ~ v4_group_1(X556)
| ~ l1_group_1(X556) )
& ( m1_group_2(esk11_2(X556,X557),X556)
| X557 = k1_latsubgr(X556)
| ~ v1_funct_1(X557)
| ~ v1_funct_2(X557,k1_group_3(X556),k1_zfmisc_1(u1_struct_0(X556)))
| ~ m2_relset_1(X557,k1_group_3(X556),k1_zfmisc_1(u1_struct_0(X556)))
| v3_struct_0(X556)
| ~ v3_group_1(X556)
| ~ v4_group_1(X556)
| ~ l1_group_1(X556) )
& ( k1_funct_1(X557,esk11_2(X556,X557)) != u1_struct_0(esk11_2(X556,X557))
| X557 = k1_latsubgr(X556)
| ~ v1_funct_1(X557)
| ~ v1_funct_2(X557,k1_group_3(X556),k1_zfmisc_1(u1_struct_0(X556)))
| ~ m2_relset_1(X557,k1_group_3(X556),k1_zfmisc_1(u1_struct_0(X556)))
| v3_struct_0(X556)
| ~ v3_group_1(X556)
| ~ v4_group_1(X556)
| ~ l1_group_1(X556) ) ),
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_6])])])])]) ).
fof(c_0_9,plain,
! [X555] :
( ( v1_funct_1(k1_latsubgr(X555))
| v3_struct_0(X555)
| ~ v3_group_1(X555)
| ~ v4_group_1(X555)
| ~ l1_group_1(X555) )
& ( v1_funct_2(k1_latsubgr(X555),k1_group_3(X555),k1_zfmisc_1(u1_struct_0(X555)))
| v3_struct_0(X555)
| ~ v3_group_1(X555)
| ~ v4_group_1(X555)
| ~ l1_group_1(X555) )
& ( m2_relset_1(k1_latsubgr(X555),k1_group_3(X555),k1_zfmisc_1(u1_struct_0(X555)))
| v3_struct_0(X555)
| ~ v3_group_1(X555)
| ~ v4_group_1(X555)
| ~ l1_group_1(X555) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])]) ).
fof(c_0_10,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_group_1(X2)
& m1_group_2(X2,X1) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( ( r2_hidden(X3,k1_funct_1(k1_latsubgr(X1),X2))
& r2_hidden(X4,k1_funct_1(k1_latsubgr(X1),X2)) )
=> r2_hidden(k1_group_1(X1,X3,X4),k1_funct_1(k1_latsubgr(X1),X2)) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t21_latsubgr])]) ).
cnf(c_0_11,plain,
( k1_funct_1(X1,X3) = u1_struct_0(X3)
| v3_struct_0(X2)
| X1 != k1_latsubgr(X2)
| ~ v1_group_1(X3)
| ~ m1_group_2(X3,X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k1_group_3(X2),k1_zfmisc_1(u1_struct_0(X2)))
| ~ m2_relset_1(X1,k1_group_3(X2),k1_zfmisc_1(u1_struct_0(X2)))
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,plain,
( v1_funct_1(k1_latsubgr(X1))
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,plain,
( m2_relset_1(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,plain,
( v1_funct_2(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_15,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v3_group_1(esk1_0)
& v4_group_1(esk1_0)
& l1_group_1(esk1_0)
& v1_group_1(esk2_0)
& m1_group_2(esk2_0,esk1_0)
& m1_subset_1(esk3_0,u1_struct_0(esk1_0))
& m1_subset_1(esk4_0,u1_struct_0(esk1_0))
& r2_hidden(esk3_0,k1_funct_1(k1_latsubgr(esk1_0),esk2_0))
& r2_hidden(esk4_0,k1_funct_1(k1_latsubgr(esk1_0),esk2_0))
& ~ r2_hidden(k1_group_1(esk1_0,esk3_0,esk4_0),k1_funct_1(k1_latsubgr(esk1_0),esk2_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])]) ).
fof(c_0_16,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_group_1(X2)
& m1_group_2(X2,X1) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( r2_hidden(X3,k1_funct_1(k1_latsubgr(X1),X2))
<=> r1_rlvect_1(X2,X3) ) ) ) ),
inference(fof_simplification,[status(thm)],[t18_latsubgr]) ).
cnf(c_0_17,plain,
( k1_funct_1(k1_latsubgr(X1),X2) = u1_struct_0(X2)
| v3_struct_0(X1)
| ~ m1_group_2(X2,X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X2)
| ~ l1_group_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_11]),c_0_12]),c_0_13]),c_0_14]) ).
cnf(c_0_18,negated_conjecture,
m1_group_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_19,negated_conjecture,
v4_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_20,negated_conjecture,
v3_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_21,negated_conjecture,
v1_group_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_22,negated_conjecture,
l1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_23,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_24,plain,
! [X560,X561,X562] :
( ( ~ r2_hidden(X562,k1_funct_1(k1_latsubgr(X560),X561))
| r1_rlvect_1(X561,X562)
| ~ m1_subset_1(X562,u1_struct_0(X560))
| ~ v1_group_1(X561)
| ~ m1_group_2(X561,X560)
| v3_struct_0(X560)
| ~ v3_group_1(X560)
| ~ v4_group_1(X560)
| ~ l1_group_1(X560) )
& ( ~ r1_rlvect_1(X561,X562)
| r2_hidden(X562,k1_funct_1(k1_latsubgr(X560),X561))
| ~ m1_subset_1(X562,u1_struct_0(X560))
| ~ v1_group_1(X561)
| ~ m1_group_2(X561,X560)
| v3_struct_0(X560)
| ~ v3_group_1(X560)
| ~ v4_group_1(X560)
| ~ l1_group_1(X560) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])]) ).
fof(c_0_25,plain,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& l1_group_1(X1)
& m1_subset_1(X2,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X1)) )
=> m1_subset_1(k1_group_1(X1,X2,X3),u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[dt_k1_group_1]) ).
cnf(c_0_26,negated_conjecture,
~ r2_hidden(k1_group_1(esk1_0,esk3_0,esk4_0),k1_funct_1(k1_latsubgr(esk1_0),esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_27,negated_conjecture,
k1_funct_1(k1_latsubgr(esk1_0),esk2_0) = u1_struct_0(esk2_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_17,c_0_18]),c_0_19]),c_0_20]),c_0_21]),c_0_22])]),c_0_23]) ).
cnf(c_0_28,plain,
( r2_hidden(X2,k1_funct_1(k1_latsubgr(X3),X1))
| v3_struct_0(X3)
| ~ r1_rlvect_1(X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X3))
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,X3)
| ~ v3_group_1(X3)
| ~ v4_group_1(X3)
| ~ l1_group_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_29,plain,
! [X613,X614,X615] :
( v3_struct_0(X613)
| ~ l1_group_1(X613)
| ~ m1_subset_1(X614,u1_struct_0(X613))
| ~ m1_subset_1(X615,u1_struct_0(X613))
| m1_subset_1(k1_group_1(X613,X614,X615),u1_struct_0(X613)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])]) ).
fof(c_0_30,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_group_2(X4,X1)
=> ( ( r1_rlvect_1(X4,X2)
& r1_rlvect_1(X4,X3) )
=> r1_rlvect_1(X4,k1_group_1(X1,X2,X3)) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t59_group_2]) ).
cnf(c_0_31,negated_conjecture,
~ r2_hidden(k1_group_1(esk1_0,esk3_0,esk4_0),u1_struct_0(esk2_0)),
inference(rw,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_32,negated_conjecture,
( r2_hidden(X1,u1_struct_0(esk2_0))
| ~ r1_rlvect_1(esk2_0,X1)
| ~ m1_subset_1(X1,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_27]),c_0_18]),c_0_19]),c_0_20]),c_0_21]),c_0_22])]),c_0_23]) ).
cnf(c_0_33,plain,
( v3_struct_0(X1)
| m1_subset_1(k1_group_1(X1,X2,X3),u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_34,negated_conjecture,
m1_subset_1(esk4_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_35,plain,
! [X625,X626,X627,X628] :
( v3_struct_0(X625)
| ~ v3_group_1(X625)
| ~ v4_group_1(X625)
| ~ l1_group_1(X625)
| ~ m1_subset_1(X626,u1_struct_0(X625))
| ~ m1_subset_1(X627,u1_struct_0(X625))
| ~ m1_group_2(X628,X625)
| ~ r1_rlvect_1(X628,X626)
| ~ r1_rlvect_1(X628,X627)
| r1_rlvect_1(X628,k1_group_1(X625,X626,X627)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])]) ).
cnf(c_0_36,negated_conjecture,
( ~ r1_rlvect_1(esk2_0,k1_group_1(esk1_0,esk3_0,esk4_0))
| ~ m1_subset_1(k1_group_1(esk1_0,esk3_0,esk4_0),u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_37,negated_conjecture,
( m1_subset_1(k1_group_1(esk1_0,X1,esk4_0),u1_struct_0(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_22])]),c_0_23]) ).
cnf(c_0_38,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_39,plain,
( v3_struct_0(X1)
| r1_rlvect_1(X4,k1_group_1(X1,X2,X3))
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_group_2(X4,X1)
| ~ r1_rlvect_1(X4,X2)
| ~ r1_rlvect_1(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_40,plain,
( r1_rlvect_1(X3,X1)
| v3_struct_0(X2)
| ~ r2_hidden(X1,k1_funct_1(k1_latsubgr(X2),X3))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ v1_group_1(X3)
| ~ m1_group_2(X3,X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_41,negated_conjecture,
r2_hidden(esk4_0,k1_funct_1(k1_latsubgr(esk1_0),esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_42,negated_conjecture,
r2_hidden(esk3_0,k1_funct_1(k1_latsubgr(esk1_0),esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_43,negated_conjecture,
~ r1_rlvect_1(esk2_0,k1_group_1(esk1_0,esk3_0,esk4_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38])]) ).
cnf(c_0_44,negated_conjecture,
( r1_rlvect_1(X1,k1_group_1(esk1_0,X2,esk4_0))
| ~ m1_group_2(X1,esk1_0)
| ~ r1_rlvect_1(X1,esk4_0)
| ~ r1_rlvect_1(X1,X2)
| ~ m1_subset_1(X2,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_39,c_0_34]),c_0_19]),c_0_20]),c_0_22])]),c_0_23]) ).
cnf(c_0_45,negated_conjecture,
r1_rlvect_1(esk2_0,esk4_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_18]),c_0_19]),c_0_20]),c_0_21]),c_0_22]),c_0_34])]),c_0_23]) ).
cnf(c_0_46,negated_conjecture,
r1_rlvect_1(esk2_0,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_42]),c_0_18]),c_0_19]),c_0_20]),c_0_21]),c_0_22]),c_0_38])]),c_0_23]) ).
cnf(c_0_47,negated_conjecture,
$false,
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_18]),c_0_45]),c_0_46]),c_0_38])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP643+4 : 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
% 0.15/0.32 % Computer : n031.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Mon May 4 18:56:59 EDT 2026
% 0.15/0.32 % CPUTime :
% 0.15/0.33 % start to proof: theBenchmark
% 285.18/245.67 % Version : CSE_E---1.7
% 285.18/245.67 % Problem : theBenchmark.p
% 285.18/245.67 % SZS status Theorem for theBenchmark.p
% 285.18/245.67 % SZS output start CNFRefutation
% See solution above
% 285.47/246.00 % Total time : 232.858s
%------------------------------------------------------------------------------