%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GRP645+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 : n007.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 12:40:33 PM UTC 2026
% Result : Theorem 152.68s 34.33s
% Output : CNFRefutation 152.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 42 ( 16 unt; 0 def)
% Number of atoms : 265 ( 28 equ)
% Maximal formula atoms : 38 ( 6 avg)
% Number of connectives : 346 ( 123 ~; 123 |; 73 &)
% ( 2 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-3 aty)
% Number of variables : 65 ( 0 sgn 43 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t24_latsubgr,conjecture,
! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m1_group_2(X2,X1)
& v1_group_1(X2) )
=> ! [X3] :
( ( m1_group_2(X3,X1)
& v1_group_1(X3) )
=> k1_funct_1(k1_latsubgr(X1),k9_group_2(X1,X2,X3)) = k3_xboole_0(k1_funct_1(k1_latsubgr(X1),X2),k1_funct_1(k1_latsubgr(X1),X3)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t24_latsubgr) ).
fof(t23_latsubgr,axiom,
! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m1_group_2(X2,X1)
& v1_group_1(X2) )
=> ! [X3] :
( ( m1_group_2(X3,X1)
& v1_group_1(X3) )
=> u1_struct_0(k9_group_2(X1,X2,X3)) = k3_xboole_0(k1_funct_1(k1_latsubgr(X1),X2),k1_funct_1(k1_latsubgr(X1),X3)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_latsubgr) ).
fof(t48_xboole_1,axiom,
! [X1,X2] : k4_xboole_0(X1,k4_xboole_0(X1,X2)) = k3_xboole_0(X1,X2),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t48_xboole_1) ).
fof(d1_latsubgr,axiom,
! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
& v1_funct_2(X2,k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
& v1_funct_1(X2) )
=> ( X2 = k1_latsubgr(X1)
<=> ! [X3] :
( ( m1_group_2(X3,X1)
& v1_group_1(X3) )
=> k1_funct_1(X2,X3) = u1_struct_0(X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_latsubgr) ).
fof(dt_k1_latsubgr,axiom,
! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ( m2_relset_1(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
& v1_funct_2(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
& v1_funct_1(k1_latsubgr(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_latsubgr) ).
fof(dt_k9_group_2,axiom,
! [X1,X2,X3] :
( ( m1_group_2(X3,X1)
& m1_group_2(X2,X1)
& l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ( m1_group_2(k9_group_2(X1,X2,X3),X1)
& v1_group_1(k9_group_2(X1,X2,X3)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+246.ax',dt_k9_group_2) ).
fof(c_0_6,negated_conjecture,
~ ! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m1_group_2(X2,X1)
& v1_group_1(X2) )
=> ! [X3] :
( ( m1_group_2(X3,X1)
& v1_group_1(X3) )
=> k1_funct_1(k1_latsubgr(X1),k9_group_2(X1,X2,X3)) = k3_xboole_0(k1_funct_1(k1_latsubgr(X1),X2),k1_funct_1(k1_latsubgr(X1),X3)) ) ) ),
inference(assume_negation,[status(cth)],[t24_latsubgr]) ).
fof(c_0_7,negated_conjecture,
~ ! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m1_group_2(X2,X1)
& v1_group_1(X2) )
=> ! [X3] :
( ( m1_group_2(X3,X1)
& v1_group_1(X3) )
=> k1_funct_1(k1_latsubgr(X1),k9_group_2(X1,X2,X3)) = k3_xboole_0(k1_funct_1(k1_latsubgr(X1),X2),k1_funct_1(k1_latsubgr(X1),X3)) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_6]) ).
fof(c_0_8,plain,
! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m1_group_2(X2,X1)
& v1_group_1(X2) )
=> ! [X3] :
( ( m1_group_2(X3,X1)
& v1_group_1(X3) )
=> u1_struct_0(k9_group_2(X1,X2,X3)) = k3_xboole_0(k1_funct_1(k1_latsubgr(X1),X2),k1_funct_1(k1_latsubgr(X1),X3)) ) ) ),
inference(fof_simplification,[status(thm)],[t23_latsubgr]) ).
fof(c_0_9,negated_conjecture,
( k1_funct_1(k1_latsubgr(esk1_0),k9_group_2(esk1_0,esk2_0,esk3_0)) != k3_xboole_0(k1_funct_1(k1_latsubgr(esk1_0),esk2_0),k1_funct_1(k1_latsubgr(esk1_0),esk3_0))
& m1_group_2(esk3_0,esk1_0)
& v1_group_1(esk3_0)
& m1_group_2(esk2_0,esk1_0)
& v1_group_1(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_7])])])]) ).
fof(c_0_10,plain,
! [X124,X125] : k4_xboole_0(X124,k4_xboole_0(X124,X125)) = k3_xboole_0(X124,X125),
inference(variable_rename,[status(thm)],[t48_xboole_1]) ).
fof(c_0_11,plain,
! [X300,X301,X302] :
( u1_struct_0(k9_group_2(X300,X301,X302)) = k3_xboole_0(k1_funct_1(k1_latsubgr(X300),X301),k1_funct_1(k1_latsubgr(X300),X302))
| ~ m1_group_2(X302,X300)
| ~ v1_group_1(X302)
| ~ m1_group_2(X301,X300)
| ~ v1_group_1(X301)
| ~ l1_group_1(X300)
| ~ v4_group_1(X300)
| ~ v3_group_1(X300)
| v3_struct_0(X300) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])]) ).
fof(c_0_12,plain,
! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
& v1_funct_2(X2,k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
& v1_funct_1(X2) )
=> ( X2 = k1_latsubgr(X1)
<=> ! [X3] :
( ( m1_group_2(X3,X1)
& v1_group_1(X3) )
=> k1_funct_1(X2,X3) = u1_struct_0(X3) ) ) ) ),
inference(fof_simplification,[status(thm)],[d1_latsubgr]) ).
fof(c_0_13,plain,
! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ( m2_relset_1(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
& v1_funct_2(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
& v1_funct_1(k1_latsubgr(X1)) ) ),
inference(fof_simplification,[status(thm)],[dt_k1_latsubgr]) ).
cnf(c_0_14,negated_conjecture,
k1_funct_1(k1_latsubgr(esk1_0),k9_group_2(esk1_0,esk2_0,esk3_0)) != k3_xboole_0(k1_funct_1(k1_latsubgr(esk1_0),esk2_0),k1_funct_1(k1_latsubgr(esk1_0),esk3_0)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,plain,
k4_xboole_0(X1,k4_xboole_0(X1,X2)) = k3_xboole_0(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,plain,
( ~ m1_group_2(X3,X1)
| ~ v1_group_1(X3)
| ~ m1_group_2(X2,X1)
| ~ v1_group_1(X2)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| u1_struct_0(k9_group_2(X1,X2,X3)) = k3_xboole_0(k1_funct_1(k1_latsubgr(X1),X2),k1_funct_1(k1_latsubgr(X1),X3))
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_17,plain,
! [X282,X283,X284] :
( ( ~ l1_group_1(X282)
| ~ v4_group_1(X282)
| ~ v3_group_1(X282)
| v3_struct_0(X282)
| ~ m2_relset_1(X283,k1_group_3(X282),k1_zfmisc_1(u1_struct_0(X282)))
| ~ v1_funct_2(X283,k1_group_3(X282),k1_zfmisc_1(u1_struct_0(X282)))
| ~ v1_funct_1(X283)
| X283 = k1_latsubgr(X282)
| k1_funct_1(X283,esk20_2(X282,X283)) != u1_struct_0(esk20_2(X282,X283)) )
& ( ~ l1_group_1(X282)
| ~ v4_group_1(X282)
| ~ v3_group_1(X282)
| v3_struct_0(X282)
| ~ m2_relset_1(X283,k1_group_3(X282),k1_zfmisc_1(u1_struct_0(X282)))
| ~ v1_funct_2(X283,k1_group_3(X282),k1_zfmisc_1(u1_struct_0(X282)))
| ~ v1_funct_1(X283)
| X283 = k1_latsubgr(X282)
| m1_group_2(esk20_2(X282,X283),X282) )
& ( ~ l1_group_1(X282)
| ~ v4_group_1(X282)
| ~ v3_group_1(X282)
| v3_struct_0(X282)
| ~ m2_relset_1(X283,k1_group_3(X282),k1_zfmisc_1(u1_struct_0(X282)))
| ~ v1_funct_2(X283,k1_group_3(X282),k1_zfmisc_1(u1_struct_0(X282)))
| ~ v1_funct_1(X283)
| X283 = k1_latsubgr(X282)
| v1_group_1(esk20_2(X282,X283)) )
& ( ~ l1_group_1(X282)
| ~ v4_group_1(X282)
| ~ v3_group_1(X282)
| v3_struct_0(X282)
| ~ m2_relset_1(X283,k1_group_3(X282),k1_zfmisc_1(u1_struct_0(X282)))
| ~ v1_funct_2(X283,k1_group_3(X282),k1_zfmisc_1(u1_struct_0(X282)))
| ~ v1_funct_1(X283)
| k1_funct_1(X283,X284) = u1_struct_0(X284)
| ~ m1_group_2(X284,X282)
| ~ v1_group_1(X284)
| X283 != k1_latsubgr(X282) ) ),
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_12])])])])])]) ).
fof(c_0_18,plain,
! [X281] :
( ( ~ l1_group_1(X281)
| ~ v4_group_1(X281)
| ~ v3_group_1(X281)
| v3_struct_0(X281)
| m2_relset_1(k1_latsubgr(X281),k1_group_3(X281),k1_zfmisc_1(u1_struct_0(X281))) )
& ( ~ l1_group_1(X281)
| ~ v4_group_1(X281)
| ~ v3_group_1(X281)
| v3_struct_0(X281)
| v1_funct_2(k1_latsubgr(X281),k1_group_3(X281),k1_zfmisc_1(u1_struct_0(X281))) )
& ( ~ l1_group_1(X281)
| ~ v4_group_1(X281)
| ~ v3_group_1(X281)
| v3_struct_0(X281)
| v1_funct_1(k1_latsubgr(X281)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])]) ).
cnf(c_0_19,negated_conjecture,
k1_funct_1(k1_latsubgr(esk1_0),k9_group_2(esk1_0,esk2_0,esk3_0)) != k4_xboole_0(k1_funct_1(k1_latsubgr(esk1_0),esk2_0),k4_xboole_0(k1_funct_1(k1_latsubgr(esk1_0),esk2_0),k1_funct_1(k1_latsubgr(esk1_0),esk3_0))),
inference(rw,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_20,plain,
( ~ m1_group_2(X2,X1)
| ~ m1_group_2(X3,X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X2)
| ~ v1_group_1(X3)
| ~ l1_group_1(X1)
| v3_struct_0(X1)
| u1_struct_0(k9_group_2(X1,X2,X3)) = k4_xboole_0(k1_funct_1(k1_latsubgr(X1),X2),k4_xboole_0(k1_funct_1(k1_latsubgr(X1),X2),k1_funct_1(k1_latsubgr(X1),X3))) ),
inference(rw,[status(thm)],[c_0_16,c_0_15]) ).
cnf(c_0_21,negated_conjecture,
m1_group_2(esk3_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_22,negated_conjecture,
m1_group_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_23,negated_conjecture,
v4_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_24,negated_conjecture,
v3_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_25,negated_conjecture,
v1_group_1(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_26,negated_conjecture,
v1_group_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_27,negated_conjecture,
l1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_28,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_29,plain,
( ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| ~ m2_relset_1(X1,k1_group_3(X2),k1_zfmisc_1(u1_struct_0(X2)))
| ~ v1_funct_2(X1,k1_group_3(X2),k1_zfmisc_1(u1_struct_0(X2)))
| ~ v1_funct_1(X1)
| ~ m1_group_2(X3,X2)
| ~ v1_group_1(X3)
| X1 != k1_latsubgr(X2)
| v3_struct_0(X2)
| k1_funct_1(X1,X3) = u1_struct_0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_30,plain,
( ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| v1_funct_1(k1_latsubgr(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_31,plain,
( ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| m2_relset_1(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_32,plain,
( ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| v1_funct_2(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_33,plain,
! [X1,X2,X3] :
( ( m1_group_2(X3,X1)
& m1_group_2(X2,X1)
& l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ( m1_group_2(k9_group_2(X1,X2,X3),X1)
& v1_group_1(k9_group_2(X1,X2,X3)) ) ),
inference(fof_simplification,[status(thm)],[dt_k9_group_2]) ).
cnf(c_0_34,negated_conjecture,
k1_funct_1(k1_latsubgr(esk1_0),k9_group_2(esk1_0,esk2_0,esk3_0)) != u1_struct_0(k9_group_2(esk1_0,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]),c_0_22]),c_0_23]),c_0_24]),c_0_25]),c_0_26]),c_0_27])]),c_0_28]) ).
cnf(c_0_35,plain,
( ~ l1_group_1(X1)
| ~ v1_group_1(X2)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_group_2(X2,X1)
| v3_struct_0(X1)
| k1_funct_1(k1_latsubgr(X1),X2) = u1_struct_0(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_29]),c_0_30]),c_0_31]),c_0_32]) ).
fof(c_0_36,plain,
! [X330,X331,X332] :
( ( ~ m1_group_2(X332,X330)
| ~ m1_group_2(X331,X330)
| ~ l1_group_1(X330)
| ~ v4_group_1(X330)
| ~ v3_group_1(X330)
| v3_struct_0(X330)
| m1_group_2(k9_group_2(X330,X331,X332),X330) )
& ( ~ m1_group_2(X332,X330)
| ~ m1_group_2(X331,X330)
| ~ l1_group_1(X330)
| ~ v4_group_1(X330)
| ~ v3_group_1(X330)
| v3_struct_0(X330)
| v1_group_1(k9_group_2(X330,X331,X332)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])])]) ).
cnf(c_0_37,negated_conjecture,
( ~ v1_group_1(k9_group_2(esk1_0,esk2_0,esk3_0))
| ~ m1_group_2(k9_group_2(esk1_0,esk2_0,esk3_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_34,c_0_35]),c_0_23]),c_0_24]),c_0_27])]),c_0_28]) ).
cnf(c_0_38,plain,
( ~ m1_group_2(X3,X1)
| ~ m1_group_2(X2,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| m1_group_2(k9_group_2(X1,X2,X3),X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_39,negated_conjecture,
~ v1_group_1(k9_group_2(esk1_0,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(spm,[status(thm)],[c_0_37,c_0_38]),c_0_21]),c_0_22]),c_0_23]),c_0_24]),c_0_27])]),c_0_28]) ).
cnf(c_0_40,plain,
( ~ m1_group_2(X3,X1)
| ~ m1_group_2(X2,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| v1_group_1(k9_group_2(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_41,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_21]),c_0_22]),c_0_23]),c_0_24]),c_0_27])]),c_0_28]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP645+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.22/0.48 % Computer : n007.cluster.edu
% 0.22/0.48 % Model : x86_64 x86_64
% 0.22/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.22/0.48 % Memory : 8046.5625MB
% 0.22/0.48 % OS : Linux 6.8.0-71-generic
% 0.22/0.48 % CPULimit : 300
% 0.22/0.48 % WCLimit : 300
% 0.22/0.48 % DateTime : Sun Sep 20 20:23:45 UTC 2026
% 0.22/0.48 % CPUTime :
% 0.22/0.48 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.25/0.55 Running first-order theorem proving
% 0.25/0.55 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
% 152.68/34.33 % Version: 3.5.1
% 152.68/34.33 % Preprocessing class: FMLLMLLLSSSNFFN.
% 152.68/34.33 % Scheduled 4 strats onto 8 cores with 298 seconds (2384 total)
% 152.68/34.33 % Starting new_bool_3 with 894s (3) cores
% 152.68/34.33 % Starting new_bool_1 with 894s (3) cores
% 152.68/34.33 % Starting sh5l with 298s (1) cores
% 152.68/34.33 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 298s (1) cores
% 152.68/34.33 % G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with pid 3528213 completed with status 0
% 152.68/34.33 % Result found by G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y
% 152.68/34.33 % Preprocessing class: FMLLMLLLSSSNFFN.
% 152.68/34.33 % Scheduled 4 strats onto 8 cores with 298 seconds (2384 total)
% 152.68/34.33 % Starting new_bool_3 with 894s (3) cores
% 152.68/34.33 % Starting new_bool_1 with 894s (3) cores
% 152.68/34.33 % Starting sh5l with 298s (1) cores
% 152.68/34.33 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 298s (1) cores
% 152.68/34.33 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 152.68/34.33 % SinE strategy is gf120_h_gu_R02_F100_L20000
% 152.68/34.33 % Search class: FGHSM-SMLM32-MFFFFFNN
% 152.68/34.33 % Scheduled 13 strats onto 1 cores with 298 seconds (298 total)
% 152.68/34.33 % Starting SubtermCWHack with 27s (1) cores
% 152.68/34.33 % SubtermCWHack with pid 3528214 completed with status 8
% 152.68/34.33 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 30s (1) cores
% 152.68/34.33 % G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with pid 3528483 completed with status 0
% 152.68/34.33 % Result found by G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y
% 152.68/34.33 % Preprocessing class: FMLLMLLLSSSNFFN.
% 152.68/34.33 % Scheduled 4 strats onto 8 cores with 298 seconds (2384 total)
% 152.68/34.33 % Starting new_bool_3 with 894s (3) cores
% 152.68/34.33 % Starting new_bool_1 with 894s (3) cores
% 152.68/34.33 % Starting sh5l with 298s (1) cores
% 152.68/34.33 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 298s (1) cores
% 152.68/34.33 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 152.68/34.33 % SinE strategy is gf120_h_gu_R02_F100_L20000
% 152.68/34.33 % Search class: FGHSM-SMLM32-MFFFFFNN
% 152.68/34.33 % Scheduled 13 strats onto 1 cores with 298 seconds (298 total)
% 152.68/34.33 % Starting SubtermCWHack with 27s (1) cores
% 152.68/34.33 % SubtermCWHack with pid 3528214 completed with status 8
% 152.68/34.33 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 30s (1) cores
% 152.68/34.33 % Preprocessing time : 0.106 s
% 152.68/34.33
% 152.68/34.33 % Proof found!
% 152.68/34.33 % SZS status Theorem
% 152.68/34.33 % SZS output start CNFRefutation
% See solution above
% 152.68/34.33 % Parsed axioms : 36514
% 152.68/34.33 % Removed by relevancy pruning/SinE : 35839
% 152.68/34.33 % Initial clauses : 1489
% 152.68/34.33 % Removed in clause preprocessing : 77
% 152.68/34.33 % Initial clauses in saturation : 1412
% 152.68/34.33 % Processed clauses : 2379
% 152.68/34.33 % ...of these trivial : 76
% 152.68/34.33 % ...subsumed : 613
% 152.68/34.33 % ...remaining for further processing : 1690
% 152.68/34.33 % Other redundant clauses eliminated : 488
% 152.68/34.33 % Clauses deleted for lack of memory : 0
% 152.68/34.33 % Backward-subsumed : 33
% 152.68/34.33 % Backward-rewritten : 22
% 152.68/34.33 % Generated clauses : 31395
% 152.68/34.33 % ...of the previous two non-redundant : 28659
% 152.68/34.33 % ...aggressively subsumed : 0
% 152.68/34.33 % Contextual simplify-reflections : 59
% 152.68/34.33 % Paramodulations : 30875
% 152.68/34.33 % Factorizations : 19
% 152.68/34.33 % NegExts : 0
% 152.68/34.33 % Equation resolutions : 508
% 152.68/34.33 % Disequality decompositions : 0
% 152.68/34.33 % Total rewrite steps : 9357
% 152.68/34.33 % ...of those cached : 7945
% 152.68/34.33 % Propositional unsat checks : 0
% 152.68/34.33 % Propositional check models : 0
% 152.68/34.33 % Propositional check unsatisfiable : 0
% 152.68/34.33 % Propositional clauses : 0
% 152.68/34.33 % Propositional clauses after purity: 0
% 152.68/34.33 % Propositional unsat core size : 0
% 152.68/34.33 % Propositional preprocessing time : 0.000
% 152.68/34.33 % Propositional encoding time : 0.000
% 152.68/34.33 % Propositional solver time : 0.000
% 152.68/34.33 % Success case prop preproc time : 0.000
% 152.68/34.33 % Success case prop encoding time : 0.000
% 152.68/34.33 % Success case prop solver time : 0.000
% 152.68/34.33 % Current number of processed clauses : 1527
% 152.68/34.33 % Positive orientable unit clauses : 201
% 152.68/34.33 % Positive unorientable unit clauses: 3
% 152.68/34.33 % Negative unit clauses : 106
% 152.68/34.33 % Non-unit-clauses : 1217
% 152.68/34.33 % Current number of unprocessed clauses: 27545
% 152.68/34.33 % ...number of literals in the above : 175253
% 152.68/34.33 % Current number of archived formulas : 0
% 152.68/34.33 % Current number of archived clauses : 56
% 152.68/34.33 % Clause-clause subsumption calls (NU) : 860421
% 152.68/34.33 % Rec. Clause-clause subsumption calls : 56778
% 152.68/34.33 % Non-unit clause-clause subsumptions : 258
% 152.68/34.33 % Unit Clause-clause subsumption calls : 84008
% 152.68/34.33 % Rewrite failures with RHS unbound : 0
% 152.68/34.33 % BW rewrite match attempts : 171
% 152.68/34.33 % BW rewrite match successes : 45
% 152.68/34.33 % Condensation attempts : 0
% 152.68/34.33 % Condensation successes : 0
% 152.68/34.33 % Termbank termtop insertions : 1878662
% 152.68/34.33 % Search garbage collected termcells : 386277
% 152.68/34.33
% 152.68/34.33 % -------------------------------------------------
% 152.68/34.33 % User time : 29.465 s
% 152.68/34.33 % System time : 1.028 s
% 152.68/34.33 % Total time : 30.493 s
% 152.68/34.33 % Maximum resident set size: 74400 pages
% 152.68/34.33
% 152.68/34.33 % -------------------------------------------------
% 152.68/34.33 % User time : 31.845 s
% 152.68/34.33 % System time : 1.158 s
% 152.68/34.33 % Total time : 33.003 s
% 152.68/34.33 % Maximum resident set size: 60160 pages
% 152.68/34.33 % E exiting
%------------------------------------------------------------------------------