TSTP Solution File: ITP006+1 by E-SAT---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : ITP006+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 08:08:42 EDT 2024
% Result : Theorem 6.18s 1.25s
% Output : CNFRefutation 6.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 29 ( 10 unt; 0 def)
% Number of atoms : 193 ( 28 equ)
% Maximal formula atoms : 36 ( 6 avg)
% Number of connectives : 228 ( 64 ~; 52 |; 60 &)
% ( 29 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 76 ( 8 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 27 ( 27 usr; 8 con; 0-5 aty)
% Number of variables : 137 ( 1 sgn 113 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thm_2EquantHeuristics_2EGUESS__RULES__WEAKEN__FORALL__POINT,conjecture,
! [X1,X2,X21,X22,X49] :
( ! [X50] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X49),s(X1,X50))))
=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X22),s(X1,X50)))) )
=> ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X2,X1),X21),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X22))))
=> p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X2,X1),X21),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X49)))) ) ),
file('/export/starexec/sandbox/tmp/tmp.0tmaDLWk4e/E---3.1_16612.p',thm_2EquantHeuristics_2EGUESS__RULES__WEAKEN__FORALL__POINT) ).
fof(thm_2EquantHeuristics_2EGUESS__REWRITES,axiom,
! [X1,X2,X21,X22] :
( ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,X2),X21),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X22))))
<=> ! [X23] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X22),s(X2,X23))))
=> ? [X24] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X22),s(X2,app_2E2(s(tyop_2Emin_2Efun(X1,X2),X21),s(X1,X24)))))) ) )
& ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL_2E2(s(tyop_2Emin_2Efun(X1,X2),X21),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X22))))
<=> ! [X25] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X22),s(X2,X25))))
=> ? [X26] : ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X22),s(X2,app_2E2(s(tyop_2Emin_2Efun(X1,X2),X21),s(X1,X26)))))) ) )
& ! [X27,X28] :
( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2(s(tyop_2Emin_2Efun(X1,X2),X27),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X28))))
<=> ! [X29] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X28),s(X2,app_2E2(s(tyop_2Emin_2Efun(X1,X2),X27),s(X1,X29)))))) )
& ! [X30,X31] :
( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X1,X2),X30),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X31))))
<=> ! [X32] : ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X31),s(X2,app_2E2(s(tyop_2Emin_2Efun(X1,X2),X30),s(X1,X32)))))) )
& ! [X33,X34] :
( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2(s(tyop_2Emin_2Efun(X1,X2),X33),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X34))))
<=> ! [X35] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X34),s(X2,X35))))
=> ? [X36] : s(X2,X35) = s(X2,app_2E2(s(tyop_2Emin_2Efun(X1,X2),X33),s(X1,X36))) ) )
& ! [X37,X38] :
( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2(s(tyop_2Emin_2Efun(X1,X2),X37),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X38))))
<=> ! [X39] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X38),s(X2,X39))))
=> ? [X40] : s(X2,X39) = s(X2,app_2E2(s(tyop_2Emin_2Efun(X1,X2),X37),s(X1,X40))) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.0tmaDLWk4e/E---3.1_16612.p',thm_2EquantHeuristics_2EGUESS__REWRITES) ).
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/sandbox/tmp/tmp.0tmaDLWk4e/E---3.1_16612.p',thm_2Ebool_2EEQ__CLAUSES) ).
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/sandbox/tmp/tmp.0tmaDLWk4e/E---3.1_16612.p',thm_2Ebool_2EIMP__CLAUSES) ).
fof(reserved_2Eho_2Enotfalse,axiom,
~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)),
file('/export/starexec/sandbox/tmp/tmp.0tmaDLWk4e/E---3.1_16612.p',reserved_2Eho_2Enotfalse) ).
fof(c_0_5,negated_conjecture,
~ ! [X1,X2,X21,X22,X49] :
( ! [X50] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X49),s(X1,X50))))
=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X22),s(X1,X50)))) )
=> ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X2,X1),X21),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X22))))
=> p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X2,X1),X21),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X49)))) ) ),
inference(assume_negation,[status(cth)],[thm_2EquantHeuristics_2EGUESS__RULES__WEAKEN__FORALL__POINT]) ).
fof(c_0_6,plain,
! [X1,X2,X21,X22] :
( ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,X2),X21),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X22))))
<=> ! [X23] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X22),s(X2,X23))))
=> ? [X24] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X22),s(X2,app_2E2(s(tyop_2Emin_2Efun(X1,X2),X21),s(X1,X24)))))) ) )
& ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL_2E2(s(tyop_2Emin_2Efun(X1,X2),X21),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X22))))
<=> ! [X25] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X22),s(X2,X25))))
=> ? [X26] : ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X22),s(X2,app_2E2(s(tyop_2Emin_2Efun(X1,X2),X21),s(X1,X26)))))) ) )
& ! [X27,X28] :
( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2(s(tyop_2Emin_2Efun(X1,X2),X27),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X28))))
<=> ! [X29] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X28),s(X2,app_2E2(s(tyop_2Emin_2Efun(X1,X2),X27),s(X1,X29)))))) )
& ! [X30,X31] :
( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X1,X2),X30),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X31))))
<=> ! [X32] : ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X31),s(X2,app_2E2(s(tyop_2Emin_2Efun(X1,X2),X30),s(X1,X32)))))) )
& ! [X33,X34] :
( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2(s(tyop_2Emin_2Efun(X1,X2),X33),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X34))))
<=> ! [X35] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X34),s(X2,X35))))
=> ? [X36] : s(X2,X35) = s(X2,app_2E2(s(tyop_2Emin_2Efun(X1,X2),X33),s(X1,X36))) ) )
& ! [X37,X38] :
( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2(s(tyop_2Emin_2Efun(X1,X2),X37),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X38))))
<=> ! [X39] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X38),s(X2,X39))))
=> ? [X40] : s(X2,X39) = s(X2,app_2E2(s(tyop_2Emin_2Efun(X1,X2),X37),s(X1,X40))) ) ) ),
inference(fof_simplification,[status(thm)],[thm_2EquantHeuristics_2EGUESS__REWRITES]) ).
fof(c_0_7,negated_conjecture,
! [X56] :
( ( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool),esk5_0),s(esk1_0,X56))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool),esk4_0),s(esk1_0,X56)))) )
& p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(esk2_0,esk1_0),esk3_0),s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool),esk4_0))))
& ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(esk2_0,esk1_0),esk3_0),s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool),esk5_0)))) ),
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_5])])])])]) ).
fof(c_0_8,plain,
! [X103,X104,X105,X106,X107,X109,X110,X111,X112,X114,X115,X116,X117,X118,X119,X121,X122,X123,X124,X126,X127,X128,X129,X130,X131,X132,X133,X134,X135,X137,X138,X139,X140,X141,X142,X143,X144,X145,X147,X148,X149,X150,X151,X153,X154,X155,X156,X158,X159,X160,X161,X162,X163,X165,X166,X167,X168,X170] :
( ( ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS_2E2(s(tyop_2Emin_2Efun(X103,X104),X105),s(tyop_2Emin_2Efun(X104,tyop_2Emin_2Ebool),X106))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X104,tyop_2Emin_2Ebool),X106),s(X104,X107))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X104,tyop_2Emin_2Ebool),X106),s(X104,app_2E2(s(tyop_2Emin_2Efun(X103,X104),X105),s(X103,esk7_4(X103,X104,X105,X106))))))) )
& ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X110,tyop_2Emin_2Ebool),X112),s(X110,esk8_4(X109,X110,X111,X112)))))
| p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS_2E2(s(tyop_2Emin_2Efun(X109,X110),X111),s(tyop_2Emin_2Efun(X110,tyop_2Emin_2Ebool),X112)))) )
& ( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X110,tyop_2Emin_2Ebool),X112),s(X110,app_2E2(s(tyop_2Emin_2Efun(X109,X110),X111),s(X109,X114))))))
| p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS_2E2(s(tyop_2Emin_2Efun(X109,X110),X111),s(tyop_2Emin_2Efun(X110,tyop_2Emin_2Ebool),X112)))) )
& ( ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL_2E2(s(tyop_2Emin_2Efun(X115,X116),X117),s(tyop_2Emin_2Efun(X116,tyop_2Emin_2Ebool),X118))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X116,tyop_2Emin_2Ebool),X118),s(X116,X119))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X116,tyop_2Emin_2Ebool),X118),s(X116,app_2E2(s(tyop_2Emin_2Efun(X115,X116),X117),s(X115,esk9_4(X115,X116,X117,X118))))))) )
& ( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X122,tyop_2Emin_2Ebool),X124),s(X122,esk10_4(X121,X122,X123,X124)))))
| p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL_2E2(s(tyop_2Emin_2Efun(X121,X122),X123),s(tyop_2Emin_2Efun(X122,tyop_2Emin_2Ebool),X124)))) )
& ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X122,tyop_2Emin_2Ebool),X124),s(X122,app_2E2(s(tyop_2Emin_2Efun(X121,X122),X123),s(X121,X126))))))
| p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL_2E2(s(tyop_2Emin_2Efun(X121,X122),X123),s(tyop_2Emin_2Efun(X122,tyop_2Emin_2Ebool),X124)))) )
& ( ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2(s(tyop_2Emin_2Efun(X127,X128),X129),s(tyop_2Emin_2Efun(X128,tyop_2Emin_2Ebool),X130))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X128,tyop_2Emin_2Ebool),X130),s(X128,app_2E2(s(tyop_2Emin_2Efun(X127,X128),X129),s(X127,X131)))))) )
& ( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X133,tyop_2Emin_2Ebool),X135),s(X133,app_2E2(s(tyop_2Emin_2Efun(X132,X133),X134),s(X132,esk11_4(X132,X133,X134,X135)))))))
| p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2(s(tyop_2Emin_2Efun(X132,X133),X134),s(tyop_2Emin_2Efun(X133,tyop_2Emin_2Ebool),X135)))) )
& ( ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X137,X138),X139),s(tyop_2Emin_2Efun(X138,tyop_2Emin_2Ebool),X140))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X138,tyop_2Emin_2Ebool),X140),s(X138,app_2E2(s(tyop_2Emin_2Efun(X137,X138),X139),s(X137,X141)))))) )
& ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X143,tyop_2Emin_2Ebool),X145),s(X143,app_2E2(s(tyop_2Emin_2Efun(X142,X143),X144),s(X142,esk12_4(X142,X143,X144,X145)))))))
| p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X142,X143),X144),s(tyop_2Emin_2Efun(X143,tyop_2Emin_2Ebool),X145)))) )
& ( ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2(s(tyop_2Emin_2Efun(X147,X148),X149),s(tyop_2Emin_2Efun(X148,tyop_2Emin_2Ebool),X150))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X148,tyop_2Emin_2Ebool),X150),s(X148,X151))))
| s(X148,X151) = s(X148,app_2E2(s(tyop_2Emin_2Efun(X147,X148),X149),s(X147,esk13_5(X147,X148,X149,X150,X151)))) )
& ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X154,tyop_2Emin_2Ebool),X156),s(X154,esk14_4(X153,X154,X155,X156)))))
| p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2(s(tyop_2Emin_2Efun(X153,X154),X155),s(tyop_2Emin_2Efun(X154,tyop_2Emin_2Ebool),X156)))) )
& ( s(X154,esk14_4(X153,X154,X155,X156)) != s(X154,app_2E2(s(tyop_2Emin_2Efun(X153,X154),X155),s(X153,X158)))
| p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2(s(tyop_2Emin_2Efun(X153,X154),X155),s(tyop_2Emin_2Efun(X154,tyop_2Emin_2Ebool),X156)))) )
& ( ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2(s(tyop_2Emin_2Efun(X159,X160),X161),s(tyop_2Emin_2Efun(X160,tyop_2Emin_2Ebool),X162))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X160,tyop_2Emin_2Ebool),X162),s(X160,X163))))
| s(X160,X163) = s(X160,app_2E2(s(tyop_2Emin_2Efun(X159,X160),X161),s(X159,esk15_5(X159,X160,X161,X162,X163)))) )
& ( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X166,tyop_2Emin_2Ebool),X168),s(X166,esk16_4(X165,X166,X167,X168)))))
| p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2(s(tyop_2Emin_2Efun(X165,X166),X167),s(tyop_2Emin_2Efun(X166,tyop_2Emin_2Ebool),X168)))) )
& ( s(X166,esk16_4(X165,X166,X167,X168)) != s(X166,app_2E2(s(tyop_2Emin_2Efun(X165,X166),X167),s(X165,X170)))
| p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2(s(tyop_2Emin_2Efun(X165,X166),X167),s(tyop_2Emin_2Efun(X166,tyop_2Emin_2Ebool),X168)))) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])])])])]) ).
fof(c_0_9,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]) ).
cnf(c_0_10,negated_conjecture,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool),esk4_0),s(esk1_0,X1))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool),esk5_0),s(esk1_0,X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,app_2E2(s(tyop_2Emin_2Efun(X3,X1),X4),s(X3,esk12_4(X3,X1,X4,X2)))))))
| p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X3,X1),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2)))) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_12,plain,
! [X173] :
( ( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) != s(tyop_2Emin_2Ebool,X173)
| p(s(tyop_2Emin_2Ebool,X173)) )
& ( ~ p(s(tyop_2Emin_2Ebool,X173))
| s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,X173) )
& ( s(tyop_2Emin_2Ebool,X173) != s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| p(s(tyop_2Emin_2Ebool,X173)) )
& ( ~ p(s(tyop_2Emin_2Ebool,X173))
| s(tyop_2Emin_2Ebool,X173) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) )
& ( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) != s(tyop_2Emin_2Ebool,X173)
| ~ p(s(tyop_2Emin_2Ebool,X173)) )
& ( p(s(tyop_2Emin_2Ebool,X173))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X173) )
& ( s(tyop_2Emin_2Ebool,X173) != s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
| ~ p(s(tyop_2Emin_2Ebool,X173)) )
& ( p(s(tyop_2Emin_2Ebool,X173))
| s(tyop_2Emin_2Ebool,X173) = 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_9])])]) ).
fof(c_0_13,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]) ).
fof(c_0_14,plain,
~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)),
inference(fof_simplification,[status(thm)],[reserved_2Eho_2Enotfalse]) ).
cnf(c_0_15,plain,
( ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X1,X2),X3),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X4))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X4),s(X2,app_2E2(s(tyop_2Emin_2Efun(X1,X2),X3),s(X1,X5)))))) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_16,negated_conjecture,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool),esk4_0),s(esk1_0,app_2E2(s(tyop_2Emin_2Efun(X1,esk1_0),X2),s(X1,esk12_4(X1,esk1_0,X2,esk5_0)))))))
| p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X1,esk1_0),X2),s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool),esk5_0)))) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_17,negated_conjecture,
~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(esk2_0,esk1_0),esk3_0),s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool),esk5_0)))),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_18,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19,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_12]) ).
cnf(c_0_20,negated_conjecture,
p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(esk2_0,esk1_0),esk3_0),s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool),esk4_0)))),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_21,plain,
! [X172] :
( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| p(s(tyop_2Emin_2Ebool,X172)) )
& ( ~ p(s(tyop_2Emin_2Ebool,X172))
| p(s(tyop_2Emin_2Ebool,X172)) )
& ( ~ p(s(tyop_2Emin_2Ebool,X172))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| p(s(tyop_2Emin_2Ebool,X172)) )
& ( p(s(tyop_2Emin_2Ebool,X172))
| 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,X172))
| 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,X172))
| 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,X172)) )
& p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
& ( p(s(tyop_2Emin_2Ebool,X172))
| ~ p(s(tyop_2Emin_2Ebool,X172)) )
& ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,X172)) )
& ( p(s(tyop_2Emin_2Ebool,X172))
| ~ p(s(tyop_2Emin_2Ebool,X172))
| 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_13])])])]) ).
fof(c_0_22,plain,
~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)),
inference(fof_nnf,[status(thm)],[c_0_14]) ).
cnf(c_0_23,negated_conjecture,
( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X1,esk1_0),X2),s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool),esk5_0))))
| ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X1,esk1_0),X2),s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool),esk4_0)))) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_24,negated_conjecture,
s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(esk2_0,esk1_0),esk3_0),s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool),esk5_0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_25,negated_conjecture,
s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(esk2_0,esk1_0),esk3_0),s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool),esk4_0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_26,plain,
p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_27,plain,
~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_28,negated_conjecture,
$false,
inference(sr,[status(thm)],[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])]),c_0_27]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ITP006+1 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.07/0.14 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n023.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 12:59:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.20/0.49 Running first-order model finding
% 0.20/0.49 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.0tmaDLWk4e/E---3.1_16612.p
% 6.18/1.25 # Version: 3.1.0
% 6.18/1.25 # Preprocessing class: FSLSSMSMSSSNFFN.
% 6.18/1.25 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.18/1.25 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 6.18/1.25 # Starting new_bool_3 with 300s (1) cores
% 6.18/1.25 # Starting new_bool_1 with 300s (1) cores
% 6.18/1.25 # Starting sh5l with 300s (1) cores
% 6.18/1.25 # sh5l with pid 16692 completed with status 0
% 6.18/1.25 # Result found by sh5l
% 6.18/1.25 # Preprocessing class: FSLSSMSMSSSNFFN.
% 6.18/1.25 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.18/1.25 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 6.18/1.25 # Starting new_bool_3 with 300s (1) cores
% 6.18/1.25 # Starting new_bool_1 with 300s (1) cores
% 6.18/1.25 # Starting sh5l with 300s (1) cores
% 6.18/1.25 # SinE strategy is gf500_gu_R04_F100_L20000
% 6.18/1.25 # Search class: FGHSM-FFLM33-DFFFFFNN
% 6.18/1.25 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 6.18/1.25 # Starting new_ho_10 with 55s (1) cores
% 6.18/1.25 # new_ho_10 with pid 16695 completed with status 0
% 6.18/1.25 # Result found by new_ho_10
% 6.18/1.25 # Preprocessing class: FSLSSMSMSSSNFFN.
% 6.18/1.25 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.18/1.25 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 6.18/1.25 # Starting new_bool_3 with 300s (1) cores
% 6.18/1.25 # Starting new_bool_1 with 300s (1) cores
% 6.18/1.25 # Starting sh5l with 300s (1) cores
% 6.18/1.25 # SinE strategy is gf500_gu_R04_F100_L20000
% 6.18/1.25 # Search class: FGHSM-FFLM33-DFFFFFNN
% 6.18/1.25 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 6.18/1.25 # Starting new_ho_10 with 55s (1) cores
% 6.18/1.25 # Preprocessing time : 0.003 s
% 6.18/1.25 # Presaturation interreduction done
% 6.18/1.25
% 6.18/1.25 # Proof found!
% 6.18/1.25 # SZS status Theorem
% 6.18/1.25 # SZS output start CNFRefutation
% See solution above
% 6.18/1.25 # Parsed axioms : 49
% 6.18/1.25 # Removed by relevancy pruning/SinE : 17
% 6.18/1.25 # Initial clauses : 239
% 6.18/1.25 # Removed in clause preprocessing : 165
% 6.18/1.25 # Initial clauses in saturation : 74
% 6.18/1.25 # Processed clauses : 1170
% 6.18/1.25 # ...of these trivial : 17
% 6.18/1.25 # ...subsumed : 656
% 6.18/1.25 # ...remaining for further processing : 497
% 6.18/1.25 # Other redundant clauses eliminated : 0
% 6.18/1.25 # Clauses deleted for lack of memory : 0
% 6.18/1.25 # Backward-subsumed : 0
% 6.18/1.25 # Backward-rewritten : 14
% 6.18/1.25 # Generated clauses : 32593
% 6.18/1.25 # ...of the previous two non-redundant : 30573
% 6.18/1.25 # ...aggressively subsumed : 0
% 6.18/1.25 # Contextual simplify-reflections : 0
% 6.18/1.25 # Paramodulations : 32532
% 6.18/1.25 # Factorizations : 42
% 6.18/1.25 # NegExts : 0
% 6.18/1.25 # Equation resolutions : 19
% 6.18/1.25 # Disequality decompositions : 0
% 6.18/1.25 # Total rewrite steps : 2144
% 6.18/1.25 # ...of those cached : 2051
% 6.18/1.25 # Propositional unsat checks : 0
% 6.18/1.25 # Propositional check models : 0
% 6.18/1.25 # Propositional check unsatisfiable : 0
% 6.18/1.25 # Propositional clauses : 0
% 6.18/1.25 # Propositional clauses after purity: 0
% 6.18/1.25 # Propositional unsat core size : 0
% 6.18/1.25 # Propositional preprocessing time : 0.000
% 6.18/1.25 # Propositional encoding time : 0.000
% 6.18/1.25 # Propositional solver time : 0.000
% 6.18/1.25 # Success case prop preproc time : 0.000
% 6.18/1.25 # Success case prop encoding time : 0.000
% 6.18/1.25 # Success case prop solver time : 0.000
% 6.18/1.25 # Current number of processed clauses : 436
% 6.18/1.25 # Positive orientable unit clauses : 13
% 6.18/1.25 # Positive unorientable unit clauses: 0
% 6.18/1.25 # Negative unit clauses : 2
% 6.18/1.25 # Non-unit-clauses : 421
% 6.18/1.25 # Current number of unprocessed clauses: 29447
% 6.18/1.25 # ...number of literals in the above : 136283
% 6.18/1.25 # Current number of archived formulas : 0
% 6.18/1.25 # Current number of archived clauses : 61
% 6.18/1.25 # Clause-clause subsumption calls (NU) : 28096
% 6.18/1.25 # Rec. Clause-clause subsumption calls : 15849
% 6.18/1.25 # Non-unit clause-clause subsumptions : 589
% 6.18/1.25 # Unit Clause-clause subsumption calls : 34
% 6.18/1.25 # Rewrite failures with RHS unbound : 0
% 6.18/1.25 # BW rewrite match attempts : 330
% 6.18/1.25 # BW rewrite match successes : 6
% 6.18/1.25 # Condensation attempts : 1170
% 6.18/1.25 # Condensation successes : 73
% 6.18/1.25 # Termbank termtop insertions : 1761140
% 6.18/1.25 # Search garbage collected termcells : 2492
% 6.18/1.25
% 6.18/1.25 # -------------------------------------------------
% 6.18/1.25 # User time : 0.709 s
% 6.18/1.25 # System time : 0.024 s
% 6.18/1.25 # Total time : 0.733 s
% 6.18/1.25 # Maximum resident set size: 2444 pages
% 6.18/1.25
% 6.18/1.25 # -------------------------------------------------
% 6.18/1.25 # User time : 0.713 s
% 6.18/1.25 # System time : 0.026 s
% 6.18/1.25 # Total time : 0.739 s
% 6.18/1.25 # Maximum resident set size: 1820 pages
% 6.18/1.25 % E---3.1 exiting
%------------------------------------------------------------------------------