TSTP Solution File: ITP012+1 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : ITP012+1 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n023.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 : Sat May 4 08:06:23 EDT 2024
% Result : Theorem 0.58s 0.59s
% Output : CNFRefutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 28 ( 12 unt; 0 def)
% Number of atoms : 121 ( 37 equ)
% Maximal formula atoms : 29 ( 4 avg)
% Number of connectives : 127 ( 34 ~; 28 |; 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; 8 con; 0-2 aty)
% Number of variables : 40 ( 0 sgn 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thm_2Ebool_2EEQ__CLAUSES,axiom,
! [X8] :
( ( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_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_2EF_2E0) = s(tyop_2Emin_2Ebool,X8)
<=> ~ p(s(tyop_2Emin_2Ebool,X8)) )
& ( s(tyop_2Emin_2Ebool,X8) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
<=> ~ p(s(tyop_2Emin_2Ebool,X8)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.rvsdJC3oIj/E---3.1_21433.p',thm_2Ebool_2EEQ__CLAUSES) ).
fof(thm_2Einteger_2EINT__DIVIDES__RSUB,conjecture,
! [X24,X25,X26] :
( p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X24),s(tyop_2Einteger_2Eint,X25))))
=> s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X24),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,X26),s(tyop_2Einteger_2Eint,X25))))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X24),s(tyop_2Einteger_2Eint,X26))) ),
file('/export/starexec/sandbox2/tmp/tmp.rvsdJC3oIj/E---3.1_21433.p',thm_2Einteger_2EINT__DIVIDES__RSUB) ).
fof(thm_2Einteger_2EINT__DIVIDES__RADD,axiom,
! [X24,X25,X26] :
( p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X24),s(tyop_2Einteger_2Eint,X25))))
=> s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X24),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,X26),s(tyop_2Einteger_2Eint,X25))))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X24),s(tyop_2Einteger_2Eint,X26))) ),
file('/export/starexec/sandbox2/tmp/tmp.rvsdJC3oIj/E---3.1_21433.p',thm_2Einteger_2EINT__DIVIDES__RADD) ).
fof(arityeq1_2Ec_2Einteger_2Eint__neg_2E1,axiom,
! [X13] : s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,X13))) = s(tyop_2Einteger_2Eint,app_2E2(s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint),c_2Einteger_2Eint__neg_2E0),s(tyop_2Einteger_2Eint,X13))),
file('/export/starexec/sandbox2/tmp/tmp.rvsdJC3oIj/E---3.1_21433.p',arityeq1_2Ec_2Einteger_2Eint__neg_2E1) ).
fof(thm_2Einteger_2Eint__sub,axiom,
! [X9,X10] : s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,X9),s(tyop_2Einteger_2Eint,X10))) = s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,X9),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,X10))))),
file('/export/starexec/sandbox2/tmp/tmp.rvsdJC3oIj/E---3.1_21433.p',thm_2Einteger_2Eint__sub) ).
fof(thm_2Einteger_2EINT__DIVIDES__NEG,axiom,
! [X24,X25] :
( s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X24),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,X25))))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X24),s(tyop_2Einteger_2Eint,X25)))
& s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,X24))),s(tyop_2Einteger_2Eint,X25))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X24),s(tyop_2Einteger_2Eint,X25))) ),
file('/export/starexec/sandbox2/tmp/tmp.rvsdJC3oIj/E---3.1_21433.p',thm_2Einteger_2EINT__DIVIDES__NEG) ).
fof(thm_2Ebool_2EIMP__CLAUSES,axiom,
! [X8] :
( ( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_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_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,X8)) )
<=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
& ( ( p(s(tyop_2Emin_2Ebool,X8))
=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) )
<=> ~ p(s(tyop_2Emin_2Ebool,X8)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.rvsdJC3oIj/E---3.1_21433.p',thm_2Ebool_2EIMP__CLAUSES) ).
fof(c_0_7,plain,
! [X8] :
( ( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_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_2EF_2E0) = s(tyop_2Emin_2Ebool,X8)
<=> ~ p(s(tyop_2Emin_2Ebool,X8)) )
& ( s(tyop_2Emin_2Ebool,X8) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
<=> ~ p(s(tyop_2Emin_2Ebool,X8)) ) ),
inference(fof_simplification,[status(thm)],[thm_2Ebool_2EEQ__CLAUSES]) ).
fof(c_0_8,negated_conjecture,
~ ! [X24,X25,X26] :
( p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X24),s(tyop_2Einteger_2Eint,X25))))
=> s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X24),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,X26),s(tyop_2Einteger_2Eint,X25))))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X24),s(tyop_2Einteger_2Eint,X26))) ),
inference(assume_negation,[status(cth)],[thm_2Einteger_2EINT__DIVIDES__RSUB]) ).
fof(c_0_9,plain,
! [X95,X96,X97] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X95),s(tyop_2Einteger_2Eint,X96))))
| s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X95),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,X97),s(tyop_2Einteger_2Eint,X96))))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X95),s(tyop_2Einteger_2Eint,X97))) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[thm_2Einteger_2EINT__DIVIDES__RADD])])]) ).
fof(c_0_10,plain,
! [X109] : s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,X109))) = s(tyop_2Einteger_2Eint,app_2E2(s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint),c_2Einteger_2Eint__neg_2E0),s(tyop_2Einteger_2Eint,X109))),
inference(variable_rename,[status(thm)],[arityeq1_2Ec_2Einteger_2Eint__neg_2E1]) ).
fof(c_0_11,plain,
! [X100,X101] : s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,X100),s(tyop_2Einteger_2Eint,X101))) = s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,X100),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,X101))))),
inference(variable_rename,[status(thm)],[thm_2Einteger_2Eint__sub]) ).
fof(c_0_12,plain,
! [X98,X99] :
( s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X98),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,X99))))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X98),s(tyop_2Einteger_2Eint,X99)))
& s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,X98))),s(tyop_2Einteger_2Eint,X99))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X98),s(tyop_2Einteger_2Eint,X99))) ),
inference(variable_rename,[status(thm)],[thm_2Einteger_2EINT__DIVIDES__NEG]) ).
fof(c_0_13,plain,
! [X106] :
( ( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) != s(tyop_2Emin_2Ebool,X106)
| p(s(tyop_2Emin_2Ebool,X106)) )
& ( ~ p(s(tyop_2Emin_2Ebool,X106))
| s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,X106) )
& ( s(tyop_2Emin_2Ebool,X106) != s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| p(s(tyop_2Emin_2Ebool,X106)) )
& ( ~ p(s(tyop_2Emin_2Ebool,X106))
| s(tyop_2Emin_2Ebool,X106) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) )
& ( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) != s(tyop_2Emin_2Ebool,X106)
| ~ p(s(tyop_2Emin_2Ebool,X106)) )
& ( p(s(tyop_2Emin_2Ebool,X106))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X106) )
& ( s(tyop_2Emin_2Ebool,X106) != s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
| ~ p(s(tyop_2Emin_2Ebool,X106)) )
& ( p(s(tyop_2Emin_2Ebool,X106))
| s(tyop_2Emin_2Ebool,X106) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])]) ).
fof(c_0_14,negated_conjecture,
( p(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_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(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])]) ).
fof(c_0_15,plain,
! [X8] :
( ( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_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_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,c_2Ebool_2ET_2E0))
& ( ( p(s(tyop_2Emin_2Ebool,X8))
=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) )
<=> ~ p(s(tyop_2Emin_2Ebool,X8)) ) ),
inference(fof_simplification,[status(thm)],[thm_2Ebool_2EIMP__CLAUSES]) ).
cnf(c_0_16,plain,
( s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X1),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,X3),s(tyop_2Einteger_2Eint,X2))))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X1),s(tyop_2Einteger_2Eint,X3)))
| ~ p(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_9]) ).
cnf(c_0_17,plain,
s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,X1))) = s(tyop_2Einteger_2Eint,app_2E2(s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint),c_2Einteger_2Eint__neg_2E0),s(tyop_2Einteger_2Eint,X1))),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_18,plain,
s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,X1),s(tyop_2Einteger_2Eint,X2))) = s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,X1),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,X2))))),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_19,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_12]) ).
cnf(c_0_20,plain,
( s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_21,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_14]) ).
fof(c_0_22,plain,
! [X105] :
( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| p(s(tyop_2Emin_2Ebool,X105)) )
& ( ~ p(s(tyop_2Emin_2Ebool,X105))
| p(s(tyop_2Emin_2Ebool,X105)) )
& ( ~ p(s(tyop_2Emin_2Ebool,X105))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| p(s(tyop_2Emin_2Ebool,X105)) )
& ( p(s(tyop_2Emin_2Ebool,X105))
| 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,X105))
| 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,X105))
| 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_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,X105)) )
& p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
& ( p(s(tyop_2Emin_2Ebool,X105))
| ~ p(s(tyop_2Emin_2Ebool,X105)) )
& ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,X105)) )
& ( p(s(tyop_2Emin_2Ebool,X105))
| ~ p(s(tyop_2Emin_2Ebool,X105))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])]) ).
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,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_14]) ).
cnf(c_0_24,plain,
( 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,X2)))
| ~ p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X1),s(tyop_2Einteger_2Eint,X3)))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),c_0_19]) ).
cnf(c_0_25,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_20,c_0_21]) ).
cnf(c_0_26,plain,
p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_27,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]),c_0_26])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14 % Problem : ITP012+1 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.12/0.15 % Command : run_E %s %d THM
% 0.15/0.36 % Computer : n023.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 12:25:39 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.22/0.51 Running first-order theorem proving
% 0.22/0.51 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/tmp/tmp.rvsdJC3oIj/E---3.1_21433.p
% 0.58/0.59 # Version: 3.1.0
% 0.58/0.59 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.58/0.59 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.58/0.59 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.58/0.59 # Starting new_bool_3 with 300s (1) cores
% 0.58/0.59 # Starting new_bool_1 with 300s (1) cores
% 0.58/0.59 # Starting sh5l with 300s (1) cores
% 0.58/0.59 # sh5l with pid 21554 completed with status 0
% 0.58/0.59 # Result found by sh5l
% 0.58/0.59 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.58/0.59 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.58/0.59 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.58/0.59 # Starting new_bool_3 with 300s (1) cores
% 0.58/0.59 # Starting new_bool_1 with 300s (1) cores
% 0.58/0.59 # Starting sh5l with 300s (1) cores
% 0.58/0.59 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.58/0.59 # Search class: FGHSM-FFMM32-DFFFFFNN
% 0.58/0.59 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.58/0.59 # Starting new_ho_10 with 55s (1) cores
% 0.58/0.59 # new_ho_10 with pid 21564 completed with status 0
% 0.58/0.59 # Result found by new_ho_10
% 0.58/0.59 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.58/0.59 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.58/0.59 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.58/0.59 # Starting new_bool_3 with 300s (1) cores
% 0.58/0.59 # Starting new_bool_1 with 300s (1) cores
% 0.58/0.59 # Starting sh5l with 300s (1) cores
% 0.58/0.59 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.58/0.59 # Search class: FGHSM-FFMM32-DFFFFFNN
% 0.58/0.59 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.58/0.59 # Starting new_ho_10 with 55s (1) cores
% 0.58/0.59 # Preprocessing time : 0.003 s
% 0.58/0.59 # Presaturation interreduction done
% 0.58/0.59
% 0.58/0.59 # Proof found!
% 0.58/0.59 # SZS status Theorem
% 0.58/0.59 # SZS output start CNFRefutation
% See solution above
% 0.58/0.59 # Parsed axioms : 52
% 0.58/0.59 # Removed by relevancy pruning/SinE : 17
% 0.58/0.59 # Initial clauses : 276
% 0.58/0.59 # Removed in clause preprocessing : 209
% 0.58/0.59 # Initial clauses in saturation : 67
% 0.58/0.59 # Processed clauses : 234
% 0.58/0.59 # ...of these trivial : 16
% 0.58/0.59 # ...subsumed : 126
% 0.58/0.59 # ...remaining for further processing : 92
% 0.58/0.59 # Other redundant clauses eliminated : 0
% 0.58/0.59 # Clauses deleted for lack of memory : 0
% 0.58/0.59 # Backward-subsumed : 0
% 0.58/0.59 # Backward-rewritten : 2
% 0.58/0.59 # Generated clauses : 861
% 0.58/0.59 # ...of the previous two non-redundant : 630
% 0.58/0.59 # ...aggressively subsumed : 0
% 0.58/0.59 # Contextual simplify-reflections : 0
% 0.58/0.59 # Paramodulations : 825
% 0.58/0.59 # Factorizations : 32
% 0.58/0.59 # NegExts : 0
% 0.58/0.59 # Equation resolutions : 4
% 0.58/0.59 # Disequality decompositions : 0
% 0.58/0.59 # Total rewrite steps : 229
% 0.58/0.59 # ...of those cached : 182
% 0.58/0.59 # Propositional unsat checks : 0
% 0.58/0.59 # Propositional check models : 0
% 0.58/0.59 # Propositional check unsatisfiable : 0
% 0.58/0.59 # Propositional clauses : 0
% 0.58/0.59 # Propositional clauses after purity: 0
% 0.58/0.59 # Propositional unsat core size : 0
% 0.58/0.59 # Propositional preprocessing time : 0.000
% 0.58/0.59 # Propositional encoding time : 0.000
% 0.58/0.59 # Propositional solver time : 0.000
% 0.58/0.59 # Success case prop preproc time : 0.000
% 0.58/0.59 # Success case prop encoding time : 0.000
% 0.58/0.59 # Success case prop solver time : 0.000
% 0.58/0.59 # Current number of processed clauses : 52
% 0.58/0.59 # Positive orientable unit clauses : 9
% 0.58/0.59 # Positive unorientable unit clauses: 0
% 0.58/0.59 # Negative unit clauses : 3
% 0.58/0.59 # Non-unit-clauses : 40
% 0.58/0.59 # Current number of unprocessed clauses: 476
% 0.58/0.59 # ...number of literals in the above : 1862
% 0.58/0.59 # Current number of archived formulas : 0
% 0.58/0.59 # Current number of archived clauses : 40
% 0.58/0.59 # Clause-clause subsumption calls (NU) : 841
% 0.58/0.59 # Rec. Clause-clause subsumption calls : 646
% 0.58/0.59 # Non-unit clause-clause subsumptions : 118
% 0.58/0.59 # Unit Clause-clause subsumption calls : 5
% 0.58/0.59 # Rewrite failures with RHS unbound : 0
% 0.58/0.59 # BW rewrite match attempts : 27
% 0.58/0.59 # BW rewrite match successes : 1
% 0.58/0.59 # Condensation attempts : 234
% 0.58/0.59 # Condensation successes : 21
% 0.58/0.59 # Termbank termtop insertions : 35140
% 0.58/0.59 # Search garbage collected termcells : 2069
% 0.58/0.59
% 0.58/0.59 # -------------------------------------------------
% 0.58/0.59 # User time : 0.032 s
% 0.58/0.59 # System time : 0.007 s
% 0.58/0.59 # Total time : 0.038 s
% 0.58/0.59 # Maximum resident set size: 2324 pages
% 0.58/0.59
% 0.58/0.59 # -------------------------------------------------
% 0.58/0.59 # User time : 0.036 s
% 0.58/0.59 # System time : 0.008 s
% 0.58/0.59 # Total time : 0.044 s
% 0.58/0.59 # Maximum resident set size: 1804 pages
% 0.58/0.59 % E---3.1 exiting
% 0.58/0.59 % E exiting
%------------------------------------------------------------------------------