%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : ITP012+4 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 12:55:48 PM UTC 2026
% Result : Theorem 65.19s 14.24s
% Output : CNFRefutation 65.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 33 ( 18 unt; 0 def)
% Number of atoms : 125 ( 42 equ)
% Maximal formula atoms : 29 ( 3 avg)
% Number of connectives : 125 ( 33 ~; 27 |; 36 &)
% ( 17 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 9 con; 0-2 aty)
% Number of variables : 46 ( 0 sgn 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thm_2Ebool_2EEQ__CLAUSES,axiom,
! [X8] :
( ( s(tyop_2Emin_2Ebool,X8) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
<=> ~ p(s(tyop_2Emin_2Ebool,X8)) )
& ( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X8)
<=> ~ p(s(tyop_2Emin_2Ebool,X8)) )
& ( s(tyop_2Emin_2Ebool,X8) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
<=> p(s(tyop_2Emin_2Ebool,X8)) )
& ( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,X8)
<=> p(s(tyop_2Emin_2Ebool,X8)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/ITP001/ITP003+4.ax',thm_2Ebool_2EEQ__CLAUSES) ).
fof(thm_2Einteger_2EINT__DIVIDES__RSUB,conjecture,
! [X33,X112,X278] :
( p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X33),s(tyop_2Einteger_2Eint,X112))))
=> s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X33),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,X278),s(tyop_2Einteger_2Eint,X112))))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X33),s(tyop_2Einteger_2Eint,X278))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Einteger_2EINT__DIVIDES__RSUB) ).
fof(thm_2Ebool_2EIMP__CLAUSES,axiom,
! [X8] :
( ( ( p(s(tyop_2Emin_2Ebool,X8))
=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) )
<=> ~ p(s(tyop_2Emin_2Ebool,X8)) )
& ( ( p(s(tyop_2Emin_2Ebool,X8))
=> p(s(tyop_2Emin_2Ebool,X8)) )
<=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
& ( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
=> p(s(tyop_2Emin_2Ebool,X8)) )
<=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
& ( ( p(s(tyop_2Emin_2Ebool,X8))
=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
<=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
& ( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
=> p(s(tyop_2Emin_2Ebool,X8)) )
<=> p(s(tyop_2Emin_2Ebool,X8)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/ITP001/ITP003+4.ax',thm_2Ebool_2EIMP__CLAUSES) ).
fof(thm_2Einteger_2EINT__DIVIDES__LSUB,axiom,
! [X33,X112,X278] :
( p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X33),s(tyop_2Einteger_2Eint,X112))))
=> s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X33),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,X112),s(tyop_2Einteger_2Eint,X278))))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X33),s(tyop_2Einteger_2Eint,X278))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Einteger_2EINT__DIVIDES__LSUB) ).
fof(thm_2Einteger_2EINT__SUB__LZERO,axiom,
! [X9] : s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),s(tyop_2Einteger_2Eint,X9))) = s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,X9))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Einteger_2EINT__SUB__LZERO) ).
fof(thm_2Einteger_2EINT__SUB__RNEG,axiom,
! [X9,X10] : s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,X9),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,X10))))) = s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,X9),s(tyop_2Einteger_2Eint,X10))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Einteger_2EINT__SUB__RNEG) ).
fof(thm_2Einteger_2EINT__DIVIDES__NEG,axiom,
! [X33,X112] :
( s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,X33))),s(tyop_2Einteger_2Eint,X112))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X33),s(tyop_2Einteger_2Eint,X112)))
& s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X33),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,X112))))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X33),s(tyop_2Einteger_2Eint,X112))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Einteger_2EINT__DIVIDES__NEG) ).
fof(thm_2Einteger_2EINT__SUB__ADD2,axiom,
! [X9,X10] : s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,X10),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,X9),s(tyop_2Einteger_2Eint,X10))))) = s(tyop_2Einteger_2Eint,X9),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Einteger_2EINT__SUB__ADD2) ).
fof(c_0_8,plain,
! [X8] :
( ( s(tyop_2Emin_2Ebool,X8) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
<=> ~ p(s(tyop_2Emin_2Ebool,X8)) )
& ( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X8)
<=> ~ p(s(tyop_2Emin_2Ebool,X8)) )
& ( s(tyop_2Emin_2Ebool,X8) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
<=> p(s(tyop_2Emin_2Ebool,X8)) )
& ( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,X8)
<=> p(s(tyop_2Emin_2Ebool,X8)) ) ),
inference(fof_simplification,[status(thm)],[thm_2Ebool_2EEQ__CLAUSES]) ).
fof(c_0_9,negated_conjecture,
~ ! [X33,X112,X278] :
( p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X33),s(tyop_2Einteger_2Eint,X112))))
=> s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X33),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,X278),s(tyop_2Einteger_2Eint,X112))))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X33),s(tyop_2Einteger_2Eint,X278))) ),
inference(assume_negation,[status(cth)],[thm_2Einteger_2EINT__DIVIDES__RSUB]) ).
fof(c_0_10,plain,
! [X16202] :
( ( s(tyop_2Emin_2Ebool,X16202) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
| p(s(tyop_2Emin_2Ebool,X16202)) )
& ( ~ p(s(tyop_2Emin_2Ebool,X16202))
| s(tyop_2Emin_2Ebool,X16202) != s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) )
& ( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X16202)
| p(s(tyop_2Emin_2Ebool,X16202)) )
& ( ~ p(s(tyop_2Emin_2Ebool,X16202))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) != s(tyop_2Emin_2Ebool,X16202) )
& ( s(tyop_2Emin_2Ebool,X16202) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| ~ p(s(tyop_2Emin_2Ebool,X16202)) )
& ( p(s(tyop_2Emin_2Ebool,X16202))
| s(tyop_2Emin_2Ebool,X16202) != s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) )
& ( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,X16202)
| ~ p(s(tyop_2Emin_2Ebool,X16202)) )
& ( p(s(tyop_2Emin_2Ebool,X16202))
| s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) != s(tyop_2Emin_2Ebool,X16202) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])]) ).
fof(c_0_11,negated_conjecture,
( s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,esk1_0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,esk3_0),s(tyop_2Einteger_2Eint,esk2_0))))) != s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,esk1_0),s(tyop_2Einteger_2Eint,esk3_0)))
& p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,esk1_0),s(tyop_2Einteger_2Eint,esk2_0)))) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])]) ).
fof(c_0_12,plain,
! [X8] :
( ( ( p(s(tyop_2Emin_2Ebool,X8))
=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) )
<=> ~ p(s(tyop_2Emin_2Ebool,X8)) )
& p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
& ( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
=> p(s(tyop_2Emin_2Ebool,X8)) )
<=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
& ( ( p(s(tyop_2Emin_2Ebool,X8))
=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
<=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
& ( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
=> p(s(tyop_2Emin_2Ebool,X8)) )
<=> p(s(tyop_2Emin_2Ebool,X8)) ) ),
inference(fof_simplification,[status(thm)],[thm_2Ebool_2EIMP__CLAUSES]) ).
fof(c_0_13,plain,
! [X13186,X13187,X13188] :
( s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X13186),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,X13187),s(tyop_2Einteger_2Eint,X13188))))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X13186),s(tyop_2Einteger_2Eint,X13188)))
| ~ p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X13186),s(tyop_2Einteger_2Eint,X13187)))) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[thm_2Einteger_2EINT__DIVIDES__LSUB])])]) ).
cnf(c_0_14,plain,
( ~ p(s(tyop_2Emin_2Ebool,X1))
| s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,negated_conjecture,
p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,esk1_0),s(tyop_2Einteger_2Eint,esk2_0)))),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_16,plain,
! [X16201] :
( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,X16201))
| p(s(tyop_2Emin_2Ebool,X16201)) )
& ( ~ p(s(tyop_2Emin_2Ebool,X16201))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) )
& ( ~ p(s(tyop_2Emin_2Ebool,X16201))
| p(s(tyop_2Emin_2Ebool,X16201)) )
& p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
& ( p(s(tyop_2Emin_2Ebool,X16201))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
& ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| ~ p(s(tyop_2Emin_2Ebool,X16201)) )
& ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) )
& ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| ~ p(s(tyop_2Emin_2Ebool,X16201))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
& ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
& ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| p(s(tyop_2Emin_2Ebool,X16201)) )
& ( p(s(tyop_2Emin_2Ebool,X16201))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| ~ p(s(tyop_2Emin_2Ebool,X16201)) )
& ( p(s(tyop_2Emin_2Ebool,X16201))
| ~ p(s(tyop_2Emin_2Ebool,X16201)) )
& ( p(s(tyop_2Emin_2Ebool,X16201))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])]) ).
cnf(c_0_17,plain,
( ~ p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X1),s(tyop_2Einteger_2Eint,X2))))
| s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X1),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,X2),s(tyop_2Einteger_2Eint,X3))))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X1),s(tyop_2Einteger_2Eint,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_18,negated_conjecture,
s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,esk1_0),s(tyop_2Einteger_2Eint,esk2_0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,plain,
p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_20,plain,
! [X13241] : s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),s(tyop_2Einteger_2Eint,X13241))) = s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,X13241))),
inference(variable_rename,[status(thm)],[thm_2Einteger_2EINT__SUB__LZERO]) ).
fof(c_0_21,plain,
! [X13245,X13246] : s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,X13245),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,X13246))))) = s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,X13245),s(tyop_2Einteger_2Eint,X13246))),
inference(variable_rename,[status(thm)],[thm_2Einteger_2EINT__SUB__RNEG]) ).
fof(c_0_22,plain,
! [X13184,X13185] :
( s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,X13184))),s(tyop_2Einteger_2Eint,X13185))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X13184),s(tyop_2Einteger_2Eint,X13185)))
& s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X13184),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,X13185))))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X13184),s(tyop_2Einteger_2Eint,X13185))) ),
inference(variable_rename,[status(thm)],[thm_2Einteger_2EINT__DIVIDES__NEG]) ).
cnf(c_0_23,negated_conjecture,
s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,esk1_0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,esk2_0),s(tyop_2Einteger_2Eint,X1))))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,esk1_0),s(tyop_2Einteger_2Eint,X1))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]) ).
cnf(c_0_24,plain,
s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),s(tyop_2Einteger_2Eint,X1))) = s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,X1))),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_25,plain,
s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,X1),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,X2))))) = s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,X1),s(tyop_2Einteger_2Eint,X2))),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_26,plain,
s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X1),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,X2))))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X1),s(tyop_2Einteger_2Eint,X2))),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_27,plain,
! [X13216,X13217] : s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,X13217),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,X13216),s(tyop_2Einteger_2Eint,X13217))))) = s(tyop_2Einteger_2Eint,X13216),
inference(variable_rename,[status(thm)],[thm_2Einteger_2EINT__SUB__ADD2]) ).
cnf(c_0_28,negated_conjecture,
s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,esk1_0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,esk2_0),s(tyop_2Einteger_2Eint,X1))))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,esk1_0),s(tyop_2Einteger_2Eint,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]),c_0_26]) ).
cnf(c_0_29,plain,
s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,X1),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,X2),s(tyop_2Einteger_2Eint,X1))))) = s(tyop_2Einteger_2Eint,X2),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_30,negated_conjecture,
s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,esk1_0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,esk3_0),s(tyop_2Einteger_2Eint,esk2_0))))) != s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,esk1_0),s(tyop_2Einteger_2Eint,esk3_0))),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_31,negated_conjecture,
s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,esk1_0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,X1),s(tyop_2Einteger_2Eint,esk2_0))))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,esk1_0),s(tyop_2Einteger_2Eint,X1))),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_32,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_31])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : ITP012+4 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.45 % Computer : n020.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Sun Sep 20 21:47:06 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.45 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.22/0.52 Running first-order theorem proving
% 0.22/0.53 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
% 65.19/14.24 % Version: 3.5.1
% 65.19/14.24 % Preprocessing class: FMLLSMLLSSSNFFN.
% 65.19/14.24 % Scheduled 4 strats onto 8 cores with 296 seconds (2368 total)
% 65.19/14.24 % Starting new_bool_3 with 888s (3) cores
% 65.19/14.24 % Starting new_bool_1 with 888s (3) cores
% 65.19/14.24 % Starting sh5l with 296s (1) cores
% 65.19/14.24 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 296s (1) cores
% 65.19/14.24 % new_bool_3 with pid 1261251 completed with status 0
% 65.19/14.24 % Result found by new_bool_3
% 65.19/14.24 % Preprocessing class: FMLLSMLLSSSNFFN.
% 65.19/14.24 % Scheduled 4 strats onto 8 cores with 296 seconds (2368 total)
% 65.19/14.24 % Starting new_bool_3 with 888s (3) cores
% 65.19/14.24 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 65.19/14.24 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 65.19/14.24 % Search class: FGHSM-SMLM33-DFFFFFNN
% 65.19/14.24 % Scheduled 7 strats onto 3 cores with 888 seconds (888 total)
% 65.19/14.24 % Starting SubtermCWHack with 80s (1) cores
% 65.19/14.24 % Starting new_bool_3 with 89s (1) cores
% 65.19/14.24 % Starting U----_206e_00_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 80s (1) cores
% 65.19/14.24 % new_bool_3 with pid 1261256 completed with status 0
% 65.19/14.24 % Result found by new_bool_3
% 65.19/14.24 % Preprocessing class: FMLLSMLLSSSNFFN.
% 65.19/14.24 % Scheduled 4 strats onto 8 cores with 296 seconds (2368 total)
% 65.19/14.24 % Starting new_bool_3 with 888s (3) cores
% 65.19/14.24 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 65.19/14.24 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 65.19/14.24 % Search class: FGHSM-SMLM33-DFFFFFNN
% 65.19/14.24 % Scheduled 7 strats onto 3 cores with 888 seconds (888 total)
% 65.19/14.24 % Starting SubtermCWHack with 80s (1) cores
% 65.19/14.24 % Starting new_bool_3 with 89s (1) cores
% 65.19/14.24 % Preprocessing time : 0.248 s
% 65.19/14.24 % Presaturation interreduction done
% 65.19/14.24
% 65.19/14.24 % Proof found!
% 65.19/14.24 % SZS status Theorem
% 65.19/14.24 % SZS output start CNFRefutation
% See solution above
% 65.19/14.24 % Parsed axioms : 14072
% 65.19/14.24 % Removed by relevancy pruning/SinE : 12772
% 65.19/14.24 % Initial clauses : 3630
% 65.19/14.24 % Removed in clause preprocessing : 897
% 65.19/14.24 % Initial clauses in saturation : 2733
% 65.19/14.24 % Processed clauses : 8782
% 65.19/14.24 % ...of these trivial : 202
% 65.19/14.24 % ...subsumed : 5656
% 65.19/14.24 % ...remaining for further processing : 2924
% 65.19/14.24 % Other redundant clauses eliminated : 0
% 65.19/14.24 % Clauses deleted for lack of memory : 0
% 65.19/14.24 % Backward-subsumed : 11
% 65.19/14.24 % Backward-rewritten : 99
% 65.19/14.24 % Generated clauses : 126162
% 65.19/14.24 % ...of the previous two non-redundant : 86768
% 65.19/14.24 % ...aggressively subsumed : 0
% 65.19/14.24 % Contextual simplify-reflections : 31
% 65.19/14.24 % Paramodulations : 125964
% 65.19/14.24 % Factorizations : 12
% 65.19/14.24 % NegExts : 0
% 65.19/14.24 % Equation resolutions : 186
% 65.19/14.24 % Disequality decompositions : 0
% 65.19/14.24 % Total rewrite steps : 75024
% 65.19/14.24 % ...of those cached : 55121
% 65.19/14.24 % Propositional unsat checks : 0
% 65.19/14.24 % Propositional check models : 0
% 65.19/14.24 % Propositional check unsatisfiable : 0
% 65.19/14.24 % Propositional clauses : 0
% 65.19/14.24 % Propositional clauses after purity: 0
% 65.19/14.24 % Propositional unsat core size : 0
% 65.19/14.24 % Propositional preprocessing time : 0.000
% 65.19/14.24 % Propositional encoding time : 0.000
% 65.19/14.24 % Propositional solver time : 0.000
% 65.19/14.24 % Success case prop preproc time : 0.000
% 65.19/14.24 % Success case prop encoding time : 0.000
% 65.19/14.24 % Success case prop solver time : 0.000
% 65.19/14.24 % Current number of processed clauses : 930
% 65.19/14.24 % Positive orientable unit clauses : 330
% 65.19/14.24 % Positive unorientable unit clauses: 13
% 65.19/14.24 % Negative unit clauses : 43
% 65.19/14.24 % Non-unit-clauses : 544
% 65.19/14.24 % Current number of unprocessed clauses: 82526
% 65.19/14.24 % ...number of literals in the above : 182163
% 65.19/14.24 % Current number of archived formulas : 0
% 65.19/14.24 % Current number of archived clauses : 1994
% 65.19/14.24 % Clause-clause subsumption calls (NU) : 2323815
% 65.19/14.24 % Rec. Clause-clause subsumption calls : 165990
% 65.19/14.24 % Non-unit clause-clause subsumptions : 2047
% 65.19/14.24 % Unit Clause-clause subsumption calls : 1858
% 65.19/14.24 % Rewrite failures with RHS unbound : 16
% 65.19/14.24 % BW rewrite match attempts : 9694
% 65.19/14.24 % BW rewrite match successes : 250
% 65.19/14.24 % Condensation attempts : 0
% 65.19/14.24 % Condensation successes : 0
% 65.19/14.24 % Termbank termtop insertions : 5521111
% 65.19/14.24 % Search garbage collected termcells : 277224
% 65.19/14.24
% 65.19/14.24 % -------------------------------------------------
% 65.19/14.24 % User time : 8.820 s
% 65.19/14.24 % System time : 0.242 s
% 65.19/14.24 % Total time : 9.062 s
% 65.19/14.24 % Maximum resident set size: 51000 pages
% 65.19/14.24
% 65.19/14.24 % -------------------------------------------------
% 65.19/14.24 % User time : 29.922 s
% 65.19/14.24 % System time : 0.866 s
% 65.19/14.24 % Total time : 30.788 s
% 65.19/14.24 % Maximum resident set size: 43776 pages
% 65.19/14.24 % E exiting
%------------------------------------------------------------------------------