%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP006+4 : 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 : n003.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 11:27:50 AM UTC 2026
% Result : Theorem 10.67s 4.22s
% Output : Refutation 17.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 40 ( 12 unt; 4 def)
% Number of atoms : 91 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 91 ( 40 ~; 31 |; 9 &)
% ( 5 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 5 prp; 0-1 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-4 aty)
% Number of variables : 60 ( 0 sgn 48 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5609,axiom,
! [X0,X1,X2,X3] :
( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_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,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,X4)))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2EquantHeuristics_2EGUESS__FORALL__POINT__def) ).
fof(f5653,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(f5654,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)],[f5653]) ).
fof(f5764,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,[],[f5654]) ).
fof(f5765,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,[],[f5764]) ).
fof(f6175,plain,
! [X0,X1,X2,X3] :
( ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_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,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,X4)))))) )
& ( ! [X4] : ~ 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,X4))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3)))) ) ),
inference(nnf_transformation,[],[f5609]) ).
fof(f6176,plain,
! [X0,X1,X2,X3] :
( ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_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,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,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__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3)))) ) ),
inference(rectify,[],[f6175]) ).
fof(f6177,plain,
! [X0,X1,X2,X3] :
( ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3))))
| 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,sK59(X0,X1,X2,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,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3)))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK59]),skolemize(X4,sK59(X0,X1,X2,X3))],[f6176]) ).
fof(f6418,plain,
( ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(sK813,sK812),sK814),s(tyop_2Emin_2Efun(sK812,tyop_2Emin_2Ebool),sK816))))
& p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(sK813,sK812),sK814),s(tyop_2Emin_2Efun(sK812,tyop_2Emin_2Ebool),sK815))))
& ! [X5] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK812,tyop_2Emin_2Ebool),sK815),s(sK812,X5))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK812,tyop_2Emin_2Ebool),sK816),s(sK812,X5)))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK812,sK813,sK814,sK815,sK816]),skolemize(X0,sK812),skolemize(X1,sK813),skolemize(X2,sK814),skolemize(X3,sK815),skolemize(X4,sK816)],[f5765]) ).
fof(f7748,plain,
! [X2,X3,X0,X1,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__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3)))) ),
inference(cnf_transformation,[],[f6177]) ).
fof(f7749,plain,
! [X2,X3,X0,X1] :
( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3))))
| 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,sK59(X0,X1,X2,X3))))))) ),
inference(cnf_transformation,[],[f6177]) ).
fof(f8313,plain,
! [X5] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK812,tyop_2Emin_2Ebool),sK815),s(sK812,X5))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK812,tyop_2Emin_2Ebool),sK816),s(sK812,X5)))) ),
inference(cnf_transformation,[],[f6418]) ).
fof(f8314,plain,
p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(sK813,sK812),sK814),s(tyop_2Emin_2Efun(sK812,tyop_2Emin_2Ebool),sK815)))),
inference(cnf_transformation,[],[f6418]) ).
fof(f8315,plain,
~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(sK813,sK812),sK814),s(tyop_2Emin_2Efun(sK812,tyop_2Emin_2Ebool),sK816)))),
inference(cnf_transformation,[],[f6418]) ).
fof(f15278,definition,
( spl3157_1
<=> p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(sK813,sK812),sK814),s(tyop_2Emin_2Efun(sK812,tyop_2Emin_2Ebool),sK815)))) ),
introduced(definition,[new_symbols(definition,[spl3157_1])],[avatar_definition]) ).
fof(f15280,plain,
( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(sK813,sK812),sK814),s(tyop_2Emin_2Efun(sK812,tyop_2Emin_2Ebool),sK815))))
| ~ spl3157_1 ),
inference(avatar_component_clause,[],[f15278]) ).
fof(f15281,plain,
spl3157_1,
inference(avatar_split_clause,[],[f8314,f15278]) ).
fof(f15283,definition,
( spl3157_2
<=> p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(sK813,sK812),sK814),s(tyop_2Emin_2Efun(sK812,tyop_2Emin_2Ebool),sK816)))) ),
introduced(definition,[new_symbols(definition,[spl3157_2])],[avatar_definition]) ).
fof(f15285,plain,
( ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(sK813,sK812),sK814),s(tyop_2Emin_2Efun(sK812,tyop_2Emin_2Ebool),sK816))))
| spl3157_2 ),
inference(avatar_component_clause,[],[f15283]) ).
fof(f15286,plain,
~ spl3157_2,
inference(avatar_split_clause,[],[f8315,f15283]) ).
fof(f15288,plain,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK812,tyop_2Emin_2Ebool),sK816),s(sK812,app_2E2(s(tyop_2Emin_2Efun(sK813,sK812),sK814),s(sK813,sK59(sK813,sK812,sK814,sK816)))))))
| spl3157_2 ),
inference(resolution,[],[f15285,f7749]) ).
fof(f17773,plain,
( ! [X0] : ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK812,tyop_2Emin_2Ebool),sK815),s(sK812,app_2E2(s(tyop_2Emin_2Efun(sK813,sK812),sK814),s(sK813,X0))))))
| ~ spl3157_1 ),
inference(resolution,[],[f15280,f7748]) ).
fof(f20242,definition,
( spl3157_20
<=> ! [X5] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK812,tyop_2Emin_2Ebool),sK815),s(sK812,X5))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK812,tyop_2Emin_2Ebool),sK816),s(sK812,X5)))) ) ),
introduced(definition,[new_symbols(definition,[spl3157_20])],[avatar_definition]) ).
fof(f20243,plain,
( ! [X5] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK812,tyop_2Emin_2Ebool),sK816),s(sK812,X5))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK812,tyop_2Emin_2Ebool),sK815),s(sK812,X5)))) )
| ~ spl3157_20 ),
inference(avatar_component_clause,[],[f20242]) ).
fof(f20244,plain,
spl3157_20,
inference(avatar_split_clause,[],[f8313,f20242]) ).
fof(f24927,definition,
( spl3157_38
<=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK812,tyop_2Emin_2Ebool),sK816),s(sK812,app_2E2(s(tyop_2Emin_2Efun(sK813,sK812),sK814),s(sK813,sK59(sK813,sK812,sK814,sK816))))))) ),
introduced(definition,[new_symbols(definition,[spl3157_38])],[avatar_definition]) ).
fof(f24929,plain,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK812,tyop_2Emin_2Ebool),sK816),s(sK812,app_2E2(s(tyop_2Emin_2Efun(sK813,sK812),sK814),s(sK813,sK59(sK813,sK812,sK814,sK816)))))))
| ~ spl3157_38 ),
inference(avatar_component_clause,[],[f24927]) ).
fof(f24930,plain,
( spl3157_38
| spl3157_2 ),
inference(avatar_split_clause,[],[f15288,f15283,f24927]) ).
fof(f24931,plain,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK812,tyop_2Emin_2Ebool),sK815),s(sK812,app_2E2(s(tyop_2Emin_2Efun(sK813,sK812),sK814),s(sK813,sK59(sK813,sK812,sK814,sK816)))))))
| ~ spl3157_20
| ~ spl3157_38 ),
inference(resolution,[],[f24929,f20243]) ).
fof(f27604,plain,
( $false
| ~ spl3157_1
| ~ spl3157_20
| ~ spl3157_38 ),
inference(forward_subsumption_resolution,[],[f24931,f17773]) ).
fof(f27605,plain,
( ~ spl3157_1
| ~ spl3157_20
| ~ spl3157_38 ),
inference(avatar_contradiction_clause,[],[f27604]) ).
cnf(s1,plain,
spl3157_1,
inference(sat_conversion,[],[f15281]) ).
cnf(s2,plain,
~ spl3157_2,
inference(sat_conversion,[],[f15286]) ).
cnf(s20,plain,
spl3157_20,
inference(sat_conversion,[],[f20244]) ).
cnf(s38,plain,
( spl3157_2
| spl3157_38 ),
inference(sat_conversion,[],[f24930]) ).
cnf(s39,plain,
( ~ spl3157_1
| ~ spl3157_20
| ~ spl3157_38 ),
inference(sat_conversion,[],[f27605]) ).
cnf(s40,plain,
spl3157_38,
inference(rat,[],[s38,s2]) ).
cnf(s58,plain,
~ spl3157_1,
inference(rat,[],[s39,s20,s40]) ).
cnf(s59,plain,
$false,
inference(rat,[],[s1,s58]) ).
fof(f27622,plain,
$false,
inference(avatar_sat_refutation,[],[s59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP006+4 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n003.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 11:54:11 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 12.92/3.73 % (388573)Detected formulas, will run a generic FOF schedule.
% 12.92/3.73 % (388730)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=1491540271:i=141695:sd=1:nm=32:gsp=on:ss=included_2989 on theBenchmark for (2989ds/141695Mi)
% 12.92/3.73 % (388733)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2218933624:s2a=on:i=139:gtg=position_2989 on theBenchmark for (2989ds/139Mi)
% 12.92/3.73 % (388732)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=613273103:i=119:av=off:ss=axioms_2989 on theBenchmark for (2989ds/119Mi)
% 12.92/3.73 % (388731)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2733898740:i=109:sd=1:ins=1:gsp=on:ss=axioms_2989 on theBenchmark for (2989ds/109Mi)
% 12.92/3.73 % (388728)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=662817663:i=141193_2989 on theBenchmark for (2989ds/141193Mi)
% 12.92/3.73 % (388729)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=2433697597:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2989 on theBenchmark for (2989ds/134677Mi)
% 12.92/3.73 % (388734)dis-21_1_sil=8000:lcm=predicate:random_seed=2462922891:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2989 on theBenchmark for (2989ds/129Mi)
% 12.92/3.73 % (388733)Instruction limit reached!
% 12.92/3.73 % (388733)------------------------------
% 12.92/3.73 % (388733)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.92/3.73 % (388733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.92/3.73 % (388733)CaDiCaL version: 2.1.3
% 12.92/3.73 % (388733)Termination reason: Instruction limit
% 12.92/3.73 % (388733)Termination phase: Property scanning
% 12.92/3.73 % (388733)Time elapsed: 0.049 s
% 12.92/3.73 % (388733)Peak memory usage: 92 MB
% 12.92/3.73 % (388733)Instructions burned: 140 (million)
% 12.92/3.73 % (388731)Instruction limit reached!
% 12.92/3.73 % (388731)------------------------------
% 12.92/3.73 % (388731)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.92/3.73 % (388731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.92/3.73 % (388731)CaDiCaL version: 2.1.3
% 12.92/3.73 % (388731)Termination reason: Instruction limit
% 12.92/3.73 % (388731)Termination phase: Blocked clause elimination
% 12.92/3.73 % (388731)Time elapsed: 0.059 s
% 12.92/3.73 % (388731)Peak memory usage: 95 MB
% 12.92/3.73 % (388731)Instructions burned: 110 (million)
% 12.92/3.73 % (388732)Instruction limit reached!
% 12.92/3.73 % (388732)------------------------------
% 12.92/3.73 % (388732)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.92/3.73 % (388732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.92/3.73 % (388732)CaDiCaL version: 2.1.3
% 12.92/3.73 % (388732)Termination reason: Instruction limit
% 12.92/3.73 % (388732)Termination phase: Property scanning
% 12.92/3.73 % (388732)Time elapsed: 0.068 s
% 12.92/3.73 % (388732)Peak memory usage: 94 MB
% 12.92/3.73 % (388732)Instructions burned: 119 (million)
% 12.92/3.73 % (388734)Instruction limit reached!
% 12.92/3.73 % (388734)------------------------------
% 12.92/3.73 % (388734)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.92/3.73 % (388734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.92/3.73 % (388734)CaDiCaL version: 2.1.3
% 12.92/3.73 % (388734)Termination reason: Instruction limit
% 12.92/3.73 % (388734)Termination phase: Preprocessing 1
% 12.92/3.73 % (388734)Time elapsed: 0.073 s
% 12.92/3.73 % (388734)Peak memory usage: 93 MB
% 12.92/3.73 % (388734)Instructions burned: 129 (million)
% 12.92/3.73 % (388791)lrs+10_1_sil=8000:sp=occurrence:random_seed=863866260:i=285:sd=3:ss=axioms:sgt=8_2987 on theBenchmark for (2987ds/285Mi)
% 12.92/3.73 % (388792)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3585575756:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2987 on theBenchmark for (2987ds/157Mi)
% 12.92/3.73 % (388793)lrs+1011_1_sil=32000:sp=occurrence:random_seed=892319307:i=325:sd=1:ss=axioms:sgt=32_2987 on theBenchmark for (2987ds/325Mi)
% 12.92/3.73 % (388794)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=2700418017:s2a=on:i=248:s2at=1.23:gtg=position_2987 on theBenchmark for (2987ds/248Mi)
% 12.92/3.73 % (388792)Instruction limit reached!
% 12.92/3.73 % (388792)------------------------------
% 10.67/4.22 % (388792)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.67/4.22 % (388792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.67/4.22 % (388792)CaDiCaL version: 2.1.3
% 10.67/4.22 % (388792)Termination reason: Instruction limit
% 10.67/4.22 % (388792)Termination phase: Property scanning
% 10.67/4.22 % (388792)Time elapsed: 0.057 s
% 10.67/4.22 % (388792)Peak memory usage: 92 MB
% 10.67/4.22 % (388792)Instructions burned: 160 (million)
% 10.67/4.22 % (388791)Instruction limit reached!
% 10.67/4.22 % (388791)------------------------------
% 10.67/4.22 % (388791)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.67/4.22 % (388791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.67/4.22 % (388791)CaDiCaL version: 2.1.3
% 10.67/4.22 % (388791)Termination reason: Instruction limit
% 10.67/4.22 % (388791)Termination phase: Saturation
% 10.67/4.22 % (388791)Time elapsed: 0.153 s
% 10.67/4.22 % (388791)Peak memory usage: 98 MB
% 10.67/4.22 % (388791)Instructions burned: 285 (million)
% 10.67/4.22 % (388794)Instruction limit reached!
% 10.67/4.22 % (388794)------------------------------
% 10.67/4.22 % (388794)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.67/4.22 % (388794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.67/4.22 % (388794)CaDiCaL version: 2.1.3
% 10.67/4.22 % (388794)Termination reason: Instruction limit
% 10.67/4.22 % (388794)Termination phase: Property scanning
% 10.67/4.22 % (388794)Time elapsed: 0.089 s
% 10.67/4.22 % (388794)Peak memory usage: 92 MB
% 10.67/4.22 % (388794)Instructions burned: 248 (million)
% 10.67/4.22 % (388793)Instruction limit reached!
% 10.67/4.22 % (388793)------------------------------
% 10.67/4.22 % (388793)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.67/4.22 % (388793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.67/4.22 % (388793)CaDiCaL version: 2.1.3
% 10.67/4.22 % (388793)Termination reason: Instruction limit
% 10.67/4.22 % (388793)Termination phase: Saturation
% 10.67/4.22 % (388793)Time elapsed: 0.149 s
% 10.67/4.22 % (388793)Peak memory usage: 99 MB
% 10.67/4.22 % (388793)Instructions burned: 326 (million)
% 10.67/4.22 % (388799)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2763607710:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2985 on theBenchmark for (2985ds/294Mi)
% 10.67/4.22 % (388800)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1133274070:i=2350_2984 on theBenchmark for (2984ds/2350Mi)
% 10.67/4.22 % (388801)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=142147530:cts=off:i=113:fsr=off:ss=included:sgt=4_2984 on theBenchmark for (2984ds/113Mi)
% 10.67/4.22 % (388802)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2438575196:i=127:av=off:fsr=off:sup=off_2984 on theBenchmark for (2984ds/127Mi)
% 10.67/4.22 % (388799)Instruction limit reached!
% 10.67/4.22 % (388799)------------------------------
% 10.67/4.22 % (388799)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.67/4.22 % (388799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.67/4.22 % (388799)CaDiCaL version: 2.1.3
% 10.67/4.22 % (388799)Termination reason: Instruction limit
% 10.67/4.22 % (388799)Termination phase: Property scanning
% 10.67/4.22 % (388799)Time elapsed: 0.137 s
% 10.67/4.22 % (388799)Peak memory usage: 96 MB
% 10.67/4.22 % (388799)Instructions burned: 296 (million)
% 10.67/4.22 % (388801)Instruction limit reached!
% 10.67/4.22 % (388801)------------------------------
% 10.67/4.22 % (388801)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.67/4.22 % (388801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.67/4.22 % (388801)CaDiCaL version: 2.1.3
% 10.67/4.22 % (388801)Termination reason: Instruction limit
% 10.67/4.22 % (388801)Termination phase: Preprocessing 3
% 10.67/4.22 % (388801)Time elapsed: 0.066 s
% 10.67/4.22 % (388801)Peak memory usage: 94 MB
% 10.67/4.22 % (388801)Instructions burned: 113 (million)
% 10.67/4.22 % (388802)Instruction limit reached!
% 10.67/4.22 % (388802)------------------------------
% 10.67/4.22 % (388802)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.67/4.22 % (388802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.67/4.22 % (388802)CaDiCaL version: 2.1.3
% 10.67/4.22 % (388802)Termination reason: Instruction limit
% 10.67/4.22 % (388802)Termination phase: Preprocessing 3
% 10.67/4.22 % (388802)Time elapsed: 0.074 s
% 10.67/4.22 % (388802)Peak memory usage: 95 MB
% 10.67/4.22 % (388802)Instructions burned: 127 (million)
% 10.67/4.22 % (388807)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2863891759:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2982 on theBenchmark for (2982ds/114Mi)
% 10.67/4.22 % (388808)lrs+10_1_sil=8000:sp=occurrence:random_seed=3614938766:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2982 on theBenchmark for (2982ds/907Mi)
% 10.67/4.22 % (388807)Instruction limit reached!
% 10.67/4.22 % (388807)------------------------------
% 10.67/4.22 % (388807)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.67/4.22 % (388807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.67/4.22 % (388807)CaDiCaL version: 2.1.3
% 10.67/4.22 % (388807)Termination reason: Instruction limit
% 10.67/4.22 % (388807)Termination phase: Property scanning
% 10.67/4.22 % (388807)Time elapsed: 0.041 s
% 10.67/4.22 % (388807)Peak memory usage: 92 MB
% 10.67/4.22 % (388807)Instructions burned: 115 (million)
% 10.67/4.22 % (388809)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=331347636:i=437:sd=1:aac=none:ss=included_2982 on theBenchmark for (2982ds/437Mi)
% 10.67/4.22 % (388813)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3636146050:i=5202:ss=axioms:sgt=16_2980 on theBenchmark for (2980ds/5202Mi)
% 10.67/4.22 % (388809)Instruction limit reached!
% 10.67/4.22 % (388809)------------------------------
% 10.67/4.22 % (388809)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.67/4.22 % (388809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.67/4.22 % (388809)CaDiCaL version: 2.1.3
% 10.67/4.22 % (388809)Termination reason: Instruction limit
% 10.67/4.22 % (388809)Termination phase: Saturation
% 10.67/4.22 % (388809)Time elapsed: 0.202 s
% 10.67/4.22 % (388809)Peak memory usage: 101 MB
% 10.67/4.22 % (388809)Instructions burned: 439 (million)
% 10.67/4.22 % (388815)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3045613793:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2978 on theBenchmark for (2978ds/134Mi)
% 10.67/4.22 % (388808)Instruction limit reached!
% 10.67/4.22 % (388808)------------------------------
% 10.67/4.22 % (388808)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.67/4.22 % (388808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.67/4.22 % (388808)CaDiCaL version: 2.1.3
% 10.67/4.22 % (388808)Termination reason: Instruction limit
% 10.67/4.22 % (388808)Termination phase: Saturation
% 10.67/4.22 % (388808)Time elapsed: 0.443 s
% 10.67/4.22 % (388808)Peak memory usage: 104 MB
% 10.67/4.22 % (388808)Instructions burned: 908 (million)
% 10.67/4.22 % (388815)Instruction limit reached!
% 10.67/4.22 % (388815)------------------------------
% 10.67/4.22 % (388815)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.67/4.22 % (388815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.67/4.22 % (388815)CaDiCaL version: 2.1.3
% 10.67/4.22 % (388815)Termination reason: Instruction limit
% 10.67/4.22 % (388815)Termination phase: NewCNF
% 10.67/4.22 % (388815)Time elapsed: 0.075 s
% 10.67/4.22 % (388815)Peak memory usage: 94 MB
% 10.67/4.22 % (388815)Instructions burned: 134 (million)
% 10.67/4.22 % (388817)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=614711259:st=8:i=592:sd=3:ep=RST:ss=axioms_2976 on theBenchmark for (2976ds/592Mi)
% 10.67/4.22 % (388818)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3624594757:st=3:i=13193:sd=3:ss=axioms_2976 on theBenchmark for (2976ds/13193Mi)
% 10.67/4.22 % (388800)Instruction limit reached!
% 10.67/4.22 % (388800)------------------------------
% 10.67/4.22 % (388800)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.67/4.22 % (388800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.67/4.22 % (388800)CaDiCaL version: 2.1.3
% 10.67/4.22 % (388800)Termination reason: Instruction limit
% 10.67/4.22 % (388800)Termination phase: Saturation
% 10.67/4.22 % (388800)Time elapsed: 0.995 s
% 10.67/4.22 % (388800)Peak memory usage: 122 MB
% 10.67/4.22 % (388800)Instructions burned: 2350 (million)
% 10.67/4.22 % (388817)Instruction limit reached!
% 10.67/4.22 % (388817)------------------------------
% 10.67/4.22 % (388817)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.67/4.22 % (388817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.67/4.22 % (388817)CaDiCaL version: 2.1.3
% 10.67/4.22 % (388817)Termination reason: Instruction limit
% 10.67/4.22 % (388817)Termination phase: Property scanning
% 10.67/4.22 % (388817)Time elapsed: 0.281 s
% 10.67/4.22 % (388817)Peak memory usage: 101 MB
% 10.67/4.22 % (388817)Instructions burned: 594 (million)
% 10.67/4.22 % (388821)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=3608134059:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2973 on theBenchmark for (2973ds/125Mi)
% 10.67/4.22 % (388821)Instruction limit reached!
% 10.67/4.22 % (388821)------------------------------
% 10.67/4.22 % (388821)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.67/4.22 % (388821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.67/4.22 % (388821)CaDiCaL version: 2.1.3
% 10.67/4.22 % (388821)Termination reason: Instruction limit
% 10.67/4.22 % (388821)Termination phase: Property scanning
% 10.67/4.22 % (388821)Time elapsed: 0.046 s
% 10.67/4.22 % (388821)Peak memory usage: 92 MB
% 10.67/4.22 % (388821)Instructions burned: 126 (million)
% 10.67/4.22 % (388822)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2547748754:i=134:gtgl=5:slsql=off:gtg=exists_sym_2972 on theBenchmark for (2972ds/134Mi)
% 10.67/4.22 % (388822)Instruction limit reached!
% 10.67/4.22 % (388822)------------------------------
% 10.67/4.22 % (388822)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.67/4.22 % (388822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.67/4.22 % (388822)CaDiCaL version: 2.1.3
% 10.67/4.22 % (388822)Termination reason: Instruction limit
% 10.67/4.22 % (388822)Termination phase: Property scanning
% 10.67/4.22 % (388822)Time elapsed: 0.048 s
% 10.67/4.22 % (388822)Peak memory usage: 92 MB
% 10.67/4.22 % (388822)Instructions burned: 135 (million)
% 10.67/4.22 % (388824)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1894500624:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2971 on theBenchmark for (2971ds/141Mi)
% 10.67/4.22 % (388730)First to succeed.
% 10.67/4.22 % (388730)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-388573"
% 10.67/4.22 % (388824)Instruction limit reached!
% 10.67/4.22 % (388824)------------------------------
% 10.67/4.22 % (388824)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.67/4.22 % (388824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.67/4.22 % (388824)CaDiCaL version: 2.1.3
% 10.67/4.22 % (388824)Termination reason: Instruction limit
% 10.67/4.22 % (388824)Termination phase: Saturation
% 10.67/4.22 % (388824)Time elapsed: 0.078 s
% 10.67/4.22 % (388824)Peak memory usage: 96 MB
% 10.67/4.22 % (388824)Instructions burned: 143 (million)
% 10.67/4.22 % (388826)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3279091573:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2969 on theBenchmark for (2969ds/431Mi)
% 10.67/4.22 % (388730)Refutation found. Thanks to Tanya!
% 10.67/4.22 % SZS status Theorem for theBenchmark
% 10.67/4.22 % SZS output start Proof for theBenchmark
% See solution above
% 17.55/4.42 % (388730)------------------------------
% 17.55/4.42 % (388730)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.55/4.42 % (388730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.55/4.42 % (388730)CaDiCaL version: 2.1.3
% 17.55/4.42 % (388730)Termination reason: Refutation
% 17.55/4.42 % (388730)Time elapsed: 1.940 s
% 17.55/4.42 % (388730)Peak memory usage: 256 MB
% 17.55/4.42 % (388730)Instructions burned: 6377 (million)
% 17.55/4.42 % (388730)------------------------------
% 17.55/4.42 % (388730)------------------------------
% 17.55/4.42 % (388573)Success in time 3.268 s
% 17.55/4.42 % Vampire exiting
%------------------------------------------------------------------------------