%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP006+1 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 : Tue Sep 29 11:27:49 AM UTC 2026
% Result : Theorem 3.45s 1.42s
% Output : Refutation 4.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 19 ( 5 unt; 0 def)
% Number of atoms : 191 ( 20 equ)
% Maximal formula atoms : 32 ( 10 avg)
% Number of connectives : 256 ( 84 ~; 74 |; 76 &)
% ( 12 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 9 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 25 ( 25 usr; 6 con; 0-4 aty)
% Number of variables : 198 ( 150 !; 48 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f37,axiom,
! [X0,X1,X2,X3] :
( ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3))))
<=> ! [X4] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,X4))))
=> ? [X5] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,X5)))))) ) )
& ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3))))
<=> ! [X6] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,X6))))
=> ? [X7] : ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,X7)))))) ) )
& ! [X8,X9] :
( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X8),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X9))))
<=> ! [X10] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X9),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X8),s(X0,X10)))))) )
& ! [X11,X12] :
( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X11),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X12))))
<=> ! [X13] : ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X12),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X11),s(X0,X13)))))) )
& ! [X14,X15] :
( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X14),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X15))))
<=> ! [X16] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X15),s(X1,X16))))
=> ? [X17] : s(X1,X16) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X14),s(X0,X17))) ) )
& ! [X18,X19] :
( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X18),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X19))))
<=> ! [X20] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X19),s(X1,X20))))
=> ? [X21] : s(X1,X20) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X18),s(X0,X21))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2EquantHeuristics_2EGUESS__REWRITES) ).
fof(f49,conjecture,
! [X0,X1,X2,X3,X4] :
( ! [X5] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X4),s(X0,X5))))
=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3),s(X0,X5)))) )
=> ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X1,X0),X2),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3))))
=> p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X1,X0),X2),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X4)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2EquantHeuristics_2EGUESS__RULES__WEAKEN__FORALL__POINT) ).
fof(f50,negated_conjecture,
~ ! [X0,X1,X2,X3,X4] :
( ! [X5] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X4),s(X0,X5))))
=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3),s(X0,X5)))) )
=> ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X1,X0),X2),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3))))
=> p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X1,X0),X2),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X4)))) ) ),
inference(negated_conjecture,[status(cth)],[f49]) ).
fof(f60,plain,
! [X0,X1,X2,X3] :
( ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3))))
<=> ! [X4] :
( ? [X5] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,X5))))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,X4)))) ) )
& ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3))))
<=> ! [X6] :
( ? [X7] : ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,X7))))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,X6)))) ) )
& ! [X8,X9] :
( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X8),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X9))))
<=> ! [X10] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X9),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X8),s(X0,X10)))))) )
& ! [X11,X12] :
( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X11),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X12))))
<=> ! [X13] : ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X12),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X11),s(X0,X13)))))) )
& ! [X14,X15] :
( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X14),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X15))))
<=> ! [X16] :
( ? [X17] : s(X1,X16) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X14),s(X0,X17)))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X15),s(X1,X16)))) ) )
& ! [X18,X19] :
( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X18),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X19))))
<=> ! [X20] :
( ? [X21] : s(X1,X20) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X18),s(X0,X21)))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X19),s(X1,X20)))) ) ) ),
inference(ennf_transformation,[],[f37]) ).
fof(f74,plain,
? [X0,X1,X2,X3,X4] :
( ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X1,X0),X2),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X4))))
& p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X1,X0),X2),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3))))
& ! [X5] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3),s(X0,X5))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X4),s(X0,X5)))) ) ),
inference(ennf_transformation,[],[f50]) ).
fof(f75,plain,
? [X0,X1,X2,X3,X4] :
( ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X1,X0),X2),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X4))))
& p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X1,X0),X2),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3))))
& ! [X5] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3),s(X0,X5))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X4),s(X0,X5)))) ) ),
inference(flattening,[],[f74]) ).
fof(f126,plain,
! [X0,X1,X2,X3] :
( ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3))))
| ? [X4] :
( ! [X5] : ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,X5))))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,X4)))) ) )
& ( ! [X4] :
( ? [X5] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,X5))))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,X4)))) )
| ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3)))) )
& ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3))))
| ? [X6] :
( ! [X7] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,X7))))))
& ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,X6)))) ) )
& ( ! [X6] :
( ? [X7] : ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,X7))))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,X6)))) )
| ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3)))) )
& ! [X8,X9] :
( ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X8),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X9))))
| ? [X10] : ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X9),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X8),s(X0,X10)))))) )
& ( ! [X10] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X9),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X8),s(X0,X10))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X8),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X9)))) ) )
& ! [X11,X12] :
( ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X11),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X12))))
| ? [X13] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X12),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X11),s(X0,X13)))))) )
& ( ! [X13] : ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X12),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X11),s(X0,X13))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X11),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X12)))) ) )
& ! [X14,X15] :
( ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X14),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X15))))
| ? [X16] :
( ! [X17] : s(X1,X16) != s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X14),s(X0,X17)))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X15),s(X1,X16)))) ) )
& ( ! [X16] :
( ? [X17] : s(X1,X16) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X14),s(X0,X17)))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X15),s(X1,X16)))) )
| ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X14),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X15)))) ) )
& ! [X18,X19] :
( ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X18),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X19))))
| ? [X20] :
( ! [X21] : s(X1,X20) != s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X18),s(X0,X21)))
& ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X19),s(X1,X20)))) ) )
& ( ! [X20] :
( ? [X21] : s(X1,X20) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X18),s(X0,X21)))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X19),s(X1,X20)))) )
| ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X18),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X19)))) ) ) ),
inference(nnf_transformation,[],[f60]) ).
fof(f127,plain,
! [X0,X1,X2,X3] :
( ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3))))
| ? [X4] :
( ! [X5] : ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,X5))))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,X4)))) ) )
& ( ! [X4] :
( ? [X5] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,X5))))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,X4)))) )
| ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3)))) )
& ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3))))
| ? [X6] :
( ! [X7] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,X7))))))
& ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,X6)))) ) )
& ( ! [X6] :
( ? [X7] : ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,X7))))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,X6)))) )
| ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3)))) )
& ! [X8,X9] :
( ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X8),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X9))))
| ? [X10] : ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X9),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X8),s(X0,X10)))))) )
& ( ! [X10] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X9),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X8),s(X0,X10))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X8),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X9)))) ) )
& ! [X11,X12] :
( ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X11),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X12))))
| ? [X13] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X12),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X11),s(X0,X13)))))) )
& ( ! [X13] : ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X12),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X11),s(X0,X13))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X11),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X12)))) ) )
& ! [X14,X15] :
( ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X14),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X15))))
| ? [X16] :
( ! [X17] : s(X1,X16) != s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X14),s(X0,X17)))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X15),s(X1,X16)))) ) )
& ( ! [X16] :
( ? [X17] : s(X1,X16) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X14),s(X0,X17)))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X15),s(X1,X16)))) )
| ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X14),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X15)))) ) )
& ! [X18,X19] :
( ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X18),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X19))))
| ? [X20] :
( ! [X21] : s(X1,X20) != s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X18),s(X0,X21)))
& ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X19),s(X1,X20)))) ) )
& ( ! [X20] :
( ? [X21] : s(X1,X20) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X18),s(X0,X21)))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X19),s(X1,X20)))) )
| ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X18),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X19)))) ) ) ),
inference(flattening,[],[f126]) ).
fof(f128,plain,
! [X0,X1,X2,X3] :
( ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3))))
| ? [X4] :
( ! [X5] : ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,X5))))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,X4)))) ) )
& ( ! [X6] :
( ? [X7] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,X7))))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,X6)))) )
| ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3)))) )
& ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3))))
| ? [X8] :
( ! [X9] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,X9))))))
& ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,X8)))) ) )
& ( ! [X10] :
( ? [X11] : ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,X11))))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,X10)))) )
| ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3)))) )
& ! [X12,X13] :
( ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X12),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X13))))
| ? [X14] : ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X13),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X12),s(X0,X14)))))) )
& ( ! [X15] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X13),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X12),s(X0,X15))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X12),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X13)))) ) )
& ! [X16,X17] :
( ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X16),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X17))))
| ? [X18] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X17),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X16),s(X0,X18)))))) )
& ( ! [X19] : ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X17),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X16),s(X0,X19))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X16),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X17)))) ) )
& ! [X20,X21] :
( ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X20),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X21))))
| ? [X22] :
( ! [X23] : s(X1,X22) != s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X20),s(X0,X23)))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X21),s(X1,X22)))) ) )
& ( ! [X24] :
( ? [X25] : s(X1,X24) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X20),s(X0,X25)))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X21),s(X1,X24)))) )
| ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X20),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X21)))) ) )
& ! [X26,X27] :
( ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X26),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X27))))
| ? [X28] :
( ! [X29] : s(X1,X28) != s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X26),s(X0,X29)))
& ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X27),s(X1,X28)))) ) )
& ( ! [X30] :
( ? [X31] : s(X1,X30) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X26),s(X0,X31)))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X27),s(X1,X30)))) )
| ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X26),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X27)))) ) ) ),
inference(rectify,[],[f127]) ).
fof(f129,plain,
! [X0,X1,X2,X3] :
( ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3))))
| ( ! [X5] : ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,X5))))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,sK13(X0,X1,X2,X3))))) ) )
& ( ! [X6] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,sK14(X0,X1,X2,X3)))))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,X6)))) )
| ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3)))) )
& ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3))))
| ( ! [X9] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,X9))))))
& ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,sK15(X0,X1,X2,X3))))) ) )
& ( ! [X10] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,sK16(X0,X1,X2,X3)))))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,X10)))) )
| ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3)))) )
& ! [X12,X13] :
( ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X12),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X13))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X13),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X12),s(X0,sK17(X0,X1,X12,X13))))))) )
& ( ! [X15] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X13),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X12),s(X0,X15))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X12),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X13)))) ) )
& ! [X16,X17] :
( ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X16),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X17))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X17),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X16),s(X0,sK18(X0,X1,X16,X17))))))) )
& ( ! [X19] : ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X17),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X16),s(X0,X19))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X16),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X17)))) ) )
& ! [X20,X21] :
( ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X20),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X21))))
| ( ! [X23] : s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X20),s(X0,X23))) != s(X1,sK19(X0,X1,X20,X21))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X21),s(X1,sK19(X0,X1,X20,X21))))) ) )
& ( ! [X24] :
( s(X1,X24) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X20),s(X0,sK20(X0,X1,X20,X24))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X21),s(X1,X24)))) )
| ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X20),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X21)))) ) )
& ! [X26,X27] :
( ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X26),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X27))))
| ( ! [X29] : s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X26),s(X0,X29))) != s(X1,sK21(X0,X1,X26,X27))
& ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X27),s(X1,sK21(X0,X1,X26,X27))))) ) )
& ( ! [X30] :
( s(X1,X30) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X26),s(X0,sK22(X0,X1,X26,X30))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X27),s(X1,X30)))) )
| ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X26),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X27)))) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14,sK15,sK16,sK17,sK18,sK19,sK20,sK21,sK22]),skolemize(X4,sK13(X0,X1,X2,X3)),skolemize(X7,sK14(X0,X1,X2,X3)),skolemize(X8,sK15(X0,X1,X2,X3)),skolemize(X11,sK16(X0,X1,X2,X3)),skolemize(X14,sK17(X0,X1,X12,X13)),skolemize(X18,sK18(X0,X1,X16,X17)),skolemize(X22,sK19(X0,X1,X20,X21)),skolemize(X25,sK20(X0,X1,X20,X24)),skolemize(X28,sK21(X0,X1,X26,X27)),skolemize(X31,sK22(X0,X1,X26,X30))],[f128]) ).
fof(f170,plain,
( ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(sK24,sK23),sK25),s(tyop_2Emin_2Efun(sK23,tyop_2Emin_2Ebool),sK27))))
& p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(sK24,sK23),sK25),s(tyop_2Emin_2Efun(sK23,tyop_2Emin_2Ebool),sK26))))
& ! [X5] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK23,tyop_2Emin_2Ebool),sK26),s(sK23,X5))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK23,tyop_2Emin_2Ebool),sK27),s(sK23,X5)))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23,sK24,sK25,sK26,sK27]),skolemize(X0,sK23),skolemize(X1,sK24),skolemize(X2,sK25),skolemize(X3,sK26),skolemize(X4,sK27)],[f75]) ).
fof(f271,plain,
! [X0,X1,X19,X16,X17] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X17),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X16),s(X0,X19))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X16),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X17)))) ),
inference(cnf_transformation,[],[f129]) ).
fof(f272,plain,
! [X0,X1,X16,X17] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X17),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X16),s(X0,sK18(X0,X1,X16,X17)))))))
| p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X16),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X17)))) ),
inference(cnf_transformation,[],[f129]) ).
fof(f372,plain,
! [X5] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK23,tyop_2Emin_2Ebool),sK27),s(sK23,X5))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK23,tyop_2Emin_2Ebool),sK26),s(sK23,X5)))) ),
inference(cnf_transformation,[],[f170]) ).
fof(f373,plain,
p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(sK24,sK23),sK25),s(tyop_2Emin_2Efun(sK23,tyop_2Emin_2Ebool),sK26)))),
inference(cnf_transformation,[],[f170]) ).
fof(f374,plain,
~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(sK24,sK23),sK25),s(tyop_2Emin_2Efun(sK23,tyop_2Emin_2Ebool),sK27)))),
inference(cnf_transformation,[],[f170]) ).
fof(f482,plain,
! [X0] : ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK23,tyop_2Emin_2Ebool),sK26),s(sK23,app_2E2(s(tyop_2Emin_2Efun(sK24,sK23),sK25),s(sK24,X0)))))),
inference(unit_resulting_resolution,[],[f271,f373]) ).
fof(f532,plain,
p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK23,tyop_2Emin_2Ebool),sK27),s(sK23,app_2E2(s(tyop_2Emin_2Efun(sK24,sK23),sK25),s(sK24,sK18(sK24,sK23,sK25,sK27))))))),
inference(unit_resulting_resolution,[],[f272,f374]) ).
fof(f536,plain,
$false,
inference(unit_resulting_resolution,[],[f372,f482,f532]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP006+1 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n016.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 11:56:47 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.45/1.42 % (2495915)Detected formulas, will run a generic FOF schedule.
% 3.45/1.42 % (2495923)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4058669815:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.45/1.42 % (2495923)Refutation not found, incomplete strategy
% 3.45/1.42 % (2495923)------------------------------
% 3.45/1.42 % (2495923)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.45/1.42 % (2495923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/1.42 % (2495923)CaDiCaL version: 2.1.3
% 3.45/1.42 % (2495923)Termination reason: Refutation not found, incomplete strategy
% 3.45/1.42 % (2495923)Time elapsed: 0.003 s
% 3.45/1.42 % (2495923)Peak memory usage: 88 MB
% 3.45/1.42 % (2495923)Instructions burned: 6 (million)
% 3.45/1.42 % (2495926)dis-21_1_sil=8000:lcm=predicate:random_seed=383072843:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.45/1.42 % (2495922)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=4101869493:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.45/1.42 % (2495920)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=792910677:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.45/1.42 % (2495924)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2414285129:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.45/1.42 % (2495921)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=75054729:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.45/1.42 % (2495925)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1819168398:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.45/1.42 % (2495924)Instruction limit reached!
% 3.45/1.42 % (2495924)------------------------------
% 3.45/1.42 % (2495924)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.45/1.42 % (2495924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/1.42 % (2495924)CaDiCaL version: 2.1.3
% 3.45/1.42 % (2495924)Termination reason: Instruction limit
% 3.45/1.42 % (2495924)Termination phase: Saturation
% 3.45/1.42 % (2495924)Time elapsed: 0.065 s
% 3.45/1.42 % (2495924)Peak memory usage: 87 MB
% 3.45/1.42 % (2495924)Instructions burned: 120 (million)
% 3.45/1.42 % (2495926)Instruction limit reached!
% 3.45/1.42 % (2495926)------------------------------
% 3.45/1.42 % (2495926)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.45/1.42 % (2495926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/1.42 % (2495926)CaDiCaL version: 2.1.3
% 3.45/1.42 % (2495926)Termination reason: Instruction limit
% 3.45/1.42 % (2495926)Termination phase: Saturation
% 3.45/1.42 % (2495926)Time elapsed: 0.074 s
% 3.45/1.42 % (2495926)Peak memory usage: 89 MB
% 3.45/1.42 % (2495926)Instructions burned: 130 (million)
% 3.45/1.42 % (2495925)Instruction limit reached!
% 3.45/1.42 % (2495925)------------------------------
% 3.45/1.42 % (2495925)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.45/1.42 % (2495925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/1.42 % (2495925)CaDiCaL version: 2.1.3
% 3.45/1.42 % (2495925)Termination reason: Instruction limit
% 3.45/1.42 % (2495925)Termination phase: Saturation
% 3.45/1.42 % (2495925)Time elapsed: 0.082 s
% 3.45/1.42 % (2495925)Peak memory usage: 89 MB
% 3.45/1.42 % (2495925)Instructions burned: 139 (million)
% 3.45/1.42 % (2495923)------------------------------
% 3.45/1.42 % (2495923)------------------------------
% 3.45/1.42 % (2495934)lrs+10_1_sil=8000:sp=occurrence:random_seed=1142773996:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.45/1.42 % (2495935)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3055234699:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.45/1.42 % (2495937)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1470671432:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 3.45/1.42 % (2495937)First to succeed.
% 3.45/1.42 % (2495936)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3743484802:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.45/1.42 % (2495935)Also succeeded, but the first one will report.
% 3.45/1.42 % (2495937)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2495915"
% 3.45/1.42 % (2495936)Also succeeded, but the first one will report.
% 3.45/1.42 % (2495934)Instruction limit reached!
% 3.45/1.42 % (2495934)------------------------------
% 3.45/1.42 % (2495934)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.45/1.42 % (2495934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/1.42 % (2495934)CaDiCaL version: 2.1.3
% 3.45/1.42 % (2495934)Termination reason: Instruction limit
% 3.45/1.42 % (2495934)Termination phase: Saturation
% 3.45/1.42 % (2495934)Time elapsed: 0.152 s
% 3.45/1.42 % (2495934)Peak memory usage: 89 MB
% 3.45/1.42 % (2495934)Instructions burned: 286 (million)
% 3.45/1.42 % (2495937)Refutation found. Thanks to Tanya!
% 3.45/1.42 % SZS status Theorem for theBenchmark
% 3.45/1.42 % SZS output start Proof for theBenchmark
% See solution above
% 4.61/1.63 % (2495937)------------------------------
% 4.61/1.63 % (2495937)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.61/1.63 % (2495937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.61/1.63 % (2495937)CaDiCaL version: 2.1.3
% 4.61/1.63 % (2495937)Termination reason: Refutation
% 4.61/1.63 % (2495937)Time elapsed: 0.007 s
% 4.61/1.63 % (2495937)Peak memory usage: 89 MB
% 4.61/1.63 % (2495937)Instructions burned: 21 (million)
% 4.61/1.63 % (2495937)------------------------------
% 4.61/1.63 % (2495937)------------------------------
% 4.61/1.63 % (2495915)Success in time 0.569 s
% 4.61/1.63 % Vampire exiting
%------------------------------------------------------------------------------