%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET854-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n009.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 12:44:50 PM UTC 2026
% Result : Unsatisfiable 79.42s 11.66s
% Output : Refutation 79.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 20
% Syntax : Number of formulae : 67 ( 21 unt; 2 def)
% Number of atoms : 176 ( 13 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 181 ( 72 ~; 107 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-4 aty)
% Number of variables : 64 ( 0 sgn 64 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ c_lessequals(X0,X1,tc_set(X2))
| ~ c_lessequals(X1,X0,tc_set(X2))
| X1 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__antisym_0) ).
fof(f2,plain,
! [X2,X0,X1] :
( ~ c_lessequals(X1,X0,tc_set(X2))
| ~ c_lessequals(X0,X1,tc_set(X2))
| X0 = X1 ),
inference(reorient_equations,[],[f1]) ).
fof(f3,axiom,
! [X2,X3,X0,X1] :
( ~ c_lessequals(X1,X3,tc_set(X2))
| ~ c_in(X0,X1,X2)
| c_in(X0,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).
fof(f4,axiom,
! [X2,X0,X1] :
( c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2)
| c_lessequals(X0,X1,tc_set(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).
fof(f5,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2)
| c_lessequals(X0,X1,tc_set(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).
fof(f6,axiom,
! [X2,X0,X1] : c_lessequals(X0,c_Zorn_Osucc(X1,X0,X2),tc_set(tc_set(X2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OAbrial__axiom1_0) ).
fof(f7,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(X3,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| ~ c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| c_in(c_Zorn_OTFin__linear__lemma1__1(X1,X0,X2),c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| c_lessequals(X3,X0,tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_Osucc(X1,X0,X2),X3,tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin__linear__lemma1_0) ).
fof(f8,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(X3,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| ~ c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| c_lessequals(X3,X0,tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X1,X0,X2),X0,tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_Osucc(X1,X0,X2),X3,tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin__linear__lemma1_1) ).
fof(f9,axiom,
! [X2,X3,X0,X1] :
( c_Zorn_OTFin__linear__lemma1__1(X1,X0,X2) != X0
| ~ c_in(X3,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| ~ c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| c_lessequals(X3,X0,tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_Osucc(X1,X0,X2),X3,tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin__linear__lemma1_2) ).
fof(f10,axiom,
! [X2,X3,X0,X1] :
( ~ c_lessequals(c_Zorn_Osucc(X1,c_Zorn_OTFin__linear__lemma1__1(X1,X0,X2),X2),X0,tc_set(tc_set(X2)))
| ~ c_in(X3,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| ~ c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| c_lessequals(X3,X0,tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_Osucc(X1,X0,X2),X3,tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin__linear__lemma1_3) ).
fof(f11,axiom,
! [X2,X3,X0,X1] :
( c_in(c_Zorn_OUnion__lemma0__1(X0,X1,X2,X3),X2,tc_set(X3))
| c_lessequals(X1,c_Union(X2,X3),tc_set(X3))
| c_lessequals(c_Union(X2,X3),X0,tc_set(X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OUnion__lemma0_0) ).
fof(f12,axiom,
! [X2,X3,X0,X1] :
( ~ c_lessequals(c_Zorn_OUnion__lemma0__1(X0,X1,X2,X3),X0,tc_set(X3))
| c_lessequals(X1,c_Union(X2,X3),tc_set(X3))
| c_lessequals(c_Union(X2,X3),X0,tc_set(X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OUnion__lemma0_1) ).
fof(f13,axiom,
! [X2,X3,X0,X1] :
( ~ c_lessequals(X0,c_Zorn_OUnion__lemma0__1(X1,X0,X2,X3),tc_set(X3))
| c_lessequals(X0,c_Union(X2,X3),tc_set(X3))
| c_lessequals(c_Union(X2,X3),X1,tc_set(X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OUnion__lemma0_2) ).
fof(f14,negated_conjecture,
c_lessequals(v_Y,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(tc_set(t_a)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f15,negated_conjecture,
c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f16,negated_conjecture,
c_lessequals(v_x,c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f17,negated_conjecture,
v_x != c_Union(v_Y,tc_set(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f18,negated_conjecture,
~ c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f19,negated_conjecture,
! [X0,X1] :
( ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| X0 = X1
| ~ c_lessequals(X0,X1,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,X0,t_a),X1,tc_set(tc_set(t_a)))
| ~ c_in(X1,v_Y,tc_set(tc_set(t_a))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f21,plain,
! [X0] :
( ~ c_in(X0,v_Y,tc_set(tc_set(t_a)))
| ~ c_lessequals(v_x,X0,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),X0,tc_set(tc_set(t_a)))
| v_x = X0 ),
inference(resolution,[],[f19,f15]) ).
fof(f28,plain,
! [X0,X1] :
( c_lessequals(X0,X0,tc_set(X1))
| c_lessequals(X0,X0,tc_set(X1)) ),
inference(resolution,[],[f5,f4]) ).
fof(f29,plain,
! [X0,X1] : c_lessequals(X0,X0,tc_set(X1)),
inference(duplicate_literal_removal,[],[f28]) ).
fof(f31,plain,
~ c_lessequals(c_Union(v_Y,tc_set(t_a)),v_x,tc_set(tc_set(t_a))),
inference(unit_resulting_resolution,[],[f2,f17,f16]) ).
fof(f74,plain,
! [X0] :
( c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X0,v_Y,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f3,f14]) ).
fof(f148,plain,
c_in(c_Zorn_OUnion__lemma0__1(v_x,c_Zorn_Osucc(v_S,v_x,t_a),v_Y,tc_set(t_a)),v_Y,tc_set(tc_set(t_a))),
inference(unit_resulting_resolution,[],[f11,f31,f18]) ).
fof(f151,plain,
! [X0,X1] :
( ~ c_lessequals(v_x,c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))
| c_lessequals(c_Union(v_Y,tc_set(t_a)),X1,tc_set(tc_set(t_a)))
| c_lessequals(X0,c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))
| v_x = c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,tc_set(t_a)) ),
inference(resolution,[],[f11,f21]) ).
fof(f153,plain,
c_in(c_Zorn_OUnion__lemma0__1(v_x,c_Zorn_Osucc(v_S,v_x,t_a),v_Y,tc_set(t_a)),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
inference(unit_resulting_resolution,[],[f74,f148]) ).
fof(f300,plain,
~ c_lessequals(c_Zorn_OUnion__lemma0__1(v_x,c_Zorn_Osucc(v_S,v_x,t_a),v_Y,tc_set(t_a)),v_x,tc_set(tc_set(t_a))),
inference(unit_resulting_resolution,[],[f12,f31,f18]) ).
fof(f304,plain,
~ c_in(c_Main_OsubsetI__1(c_Zorn_OUnion__lemma0__1(v_x,c_Zorn_Osucc(v_S,v_x,t_a),v_Y,tc_set(t_a)),v_x,tc_set(t_a)),v_x,tc_set(t_a)),
inference(unit_resulting_resolution,[],[f5,f300]) ).
fof(f305,plain,
c_in(c_Main_OsubsetI__1(c_Zorn_OUnion__lemma0__1(v_x,c_Zorn_Osucc(v_S,v_x,t_a),v_Y,tc_set(t_a)),v_x,tc_set(t_a)),c_Zorn_OUnion__lemma0__1(v_x,c_Zorn_Osucc(v_S,v_x,t_a),v_Y,tc_set(t_a)),tc_set(t_a)),
inference(unit_resulting_resolution,[],[f4,f300]) ).
fof(f315,plain,
! [X0] : c_in(c_Main_OsubsetI__1(c_Zorn_OUnion__lemma0__1(v_x,c_Zorn_Osucc(v_S,v_x,t_a),v_Y,tc_set(t_a)),v_x,tc_set(t_a)),c_Zorn_Osucc(X0,c_Zorn_OUnion__lemma0__1(v_x,c_Zorn_Osucc(v_S,v_x,t_a),v_Y,tc_set(t_a)),t_a),tc_set(t_a)),
inference(unit_resulting_resolution,[],[f3,f6,f305]) ).
fof(f321,plain,
! [X0] : ~ c_lessequals(c_Zorn_Osucc(X0,c_Zorn_OUnion__lemma0__1(v_x,c_Zorn_Osucc(v_S,v_x,t_a),v_Y,tc_set(t_a)),t_a),v_x,tc_set(tc_set(t_a))),
inference(unit_resulting_resolution,[],[f3,f304,f315]) ).
fof(f460,plain,
~ c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),c_Zorn_OUnion__lemma0__1(v_x,c_Zorn_Osucc(v_S,v_x,t_a),v_Y,tc_set(t_a)),tc_set(tc_set(t_a))),
inference(unit_resulting_resolution,[],[f13,f31,f18]) ).
fof(f779,plain,
! [X0] :
( ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(v_x,X0,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,X0,t_a),X0,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,X0,t_a),v_x,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f8,f15]) ).
fof(f1041,plain,
! [X0] :
( c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,X0,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(v_x,X0,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,X0,t_a),v_x,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f7,f15]) ).
fof(f1473,plain,
! [X0] :
( ~ c_in(X0,v_Y,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,X0,t_a),X0,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,X0,t_a),v_x,tc_set(tc_set(t_a)))
| c_lessequals(v_x,X0,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f779,f74]) ).
fof(f1688,plain,
! [X0,X1] :
( ~ c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,X0,t_a),X1,tc_set(tc_set(t_a)))
| c_lessequals(v_x,X0,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,X0,t_a),v_x,tc_set(tc_set(t_a)))
| c_Zorn_OTFin__linear__lemma1__1(v_S,X0,t_a) = X1
| ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,X0,t_a),t_a),X1,tc_set(tc_set(t_a)))
| ~ c_in(X1,v_Y,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f1041,f19]) ).
fof(f3039,plain,
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,c_Zorn_OUnion__lemma0__1(v_x,c_Zorn_Osucc(v_S,v_x,t_a),v_Y,tc_set(t_a)),t_a),c_Zorn_OUnion__lemma0__1(v_x,c_Zorn_Osucc(v_S,v_x,t_a),v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OUnion__lemma0__1(v_x,c_Zorn_Osucc(v_S,v_x,t_a),v_Y,tc_set(t_a)),t_a),v_x,tc_set(tc_set(t_a)))
| c_lessequals(v_x,c_Zorn_OUnion__lemma0__1(v_x,c_Zorn_Osucc(v_S,v_x,t_a),v_Y,tc_set(t_a)),tc_set(tc_set(t_a))) ),
inference(resolution,[],[f1473,f148]) ).
fof(f3062,plain,
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,c_Zorn_OUnion__lemma0__1(v_x,c_Zorn_Osucc(v_S,v_x,t_a),v_Y,tc_set(t_a)),t_a),c_Zorn_OUnion__lemma0__1(v_x,c_Zorn_Osucc(v_S,v_x,t_a),v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))
| c_lessequals(v_x,c_Zorn_OUnion__lemma0__1(v_x,c_Zorn_Osucc(v_S,v_x,t_a),v_Y,tc_set(t_a)),tc_set(tc_set(t_a))) ),
inference(forward_subsumption_resolution,[],[f3039,f321]) ).
fof(f9539,definition,
( spl0_3
<=> c_lessequals(v_x,c_Zorn_OUnion__lemma0__1(v_x,c_Zorn_Osucc(v_S,v_x,t_a),v_Y,tc_set(t_a)),tc_set(tc_set(t_a))) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f9540,plain,
( ~ c_lessequals(v_x,c_Zorn_OUnion__lemma0__1(v_x,c_Zorn_Osucc(v_S,v_x,t_a),v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))
| spl0_3 ),
inference(avatar_component_clause,[],[f9539]) ).
fof(f9541,plain,
( c_lessequals(v_x,c_Zorn_OUnion__lemma0__1(v_x,c_Zorn_Osucc(v_S,v_x,t_a),v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f9539]) ).
fof(f9543,definition,
( spl0_4
<=> c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,c_Zorn_OUnion__lemma0__1(v_x,c_Zorn_Osucc(v_S,v_x,t_a),v_Y,tc_set(t_a)),t_a),c_Zorn_OUnion__lemma0__1(v_x,c_Zorn_Osucc(v_S,v_x,t_a),v_Y,tc_set(t_a)),tc_set(tc_set(t_a))) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f9545,plain,
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,c_Zorn_OUnion__lemma0__1(v_x,c_Zorn_Osucc(v_S,v_x,t_a),v_Y,tc_set(t_a)),t_a),c_Zorn_OUnion__lemma0__1(v_x,c_Zorn_Osucc(v_S,v_x,t_a),v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f9543]) ).
fof(f9546,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f3062,f9543,f9539]) ).
fof(f9547,plain,
( v_x = c_Zorn_OUnion__lemma0__1(v_x,c_Zorn_Osucc(v_S,v_x,t_a),v_Y,tc_set(t_a))
| ~ spl0_3 ),
inference(unit_resulting_resolution,[],[f151,f31,f18,f460,f9541]) ).
fof(f9718,plain,
( ~ c_lessequals(v_x,v_x,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))
| c_lessequals(c_Union(v_Y,tc_set(t_a)),v_x,tc_set(tc_set(t_a)))
| ~ spl0_3 ),
inference(superposition,[],[f12,f9547]) ).
fof(f9721,plain,
( c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))
| c_lessequals(c_Union(v_Y,tc_set(t_a)),v_x,tc_set(tc_set(t_a)))
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f9718,f29]) ).
fof(f9727,plain,
( c_lessequals(c_Union(v_Y,tc_set(t_a)),v_x,tc_set(tc_set(t_a)))
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f9721,f18]) ).
fof(f9730,plain,
( $false
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f9727,f31]) ).
fof(f9731,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f9730]) ).
fof(f9745,plain,
( c_Zorn_OUnion__lemma0__1(v_x,c_Zorn_Osucc(v_S,v_x,t_a),v_Y,tc_set(t_a)) != c_Zorn_OTFin__linear__lemma1__1(v_S,c_Zorn_OUnion__lemma0__1(v_x,c_Zorn_Osucc(v_S,v_x,t_a),v_Y,tc_set(t_a)),t_a)
| spl0_3 ),
inference(unit_resulting_resolution,[],[f9,f15,f153,f321,f9540]) ).
fof(f9872,plain,
( c_lessequals(v_x,c_Zorn_OUnion__lemma0__1(v_x,c_Zorn_Osucc(v_S,v_x,t_a),v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OUnion__lemma0__1(v_x,c_Zorn_Osucc(v_S,v_x,t_a),v_Y,tc_set(t_a)),t_a),v_x,tc_set(tc_set(t_a)))
| c_Zorn_OUnion__lemma0__1(v_x,c_Zorn_Osucc(v_S,v_x,t_a),v_Y,tc_set(t_a)) = c_Zorn_OTFin__linear__lemma1__1(v_S,c_Zorn_OUnion__lemma0__1(v_x,c_Zorn_Osucc(v_S,v_x,t_a),v_Y,tc_set(t_a)),t_a)
| ~ c_in(c_Zorn_OUnion__lemma0__1(v_x,c_Zorn_Osucc(v_S,v_x,t_a),v_Y,tc_set(t_a)),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,c_Zorn_OUnion__lemma0__1(v_x,c_Zorn_Osucc(v_S,v_x,t_a),v_Y,tc_set(t_a)),t_a),t_a),c_Zorn_OUnion__lemma0__1(v_x,c_Zorn_Osucc(v_S,v_x,t_a),v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_OUnion__lemma0__1(v_x,c_Zorn_Osucc(v_S,v_x,t_a),v_Y,tc_set(t_a)),v_Y,tc_set(tc_set(t_a)))
| ~ spl0_4 ),
inference(resolution,[],[f9545,f1688]) ).
fof(f9876,plain,
( c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OUnion__lemma0__1(v_x,c_Zorn_Osucc(v_S,v_x,t_a),v_Y,tc_set(t_a)),t_a),v_x,tc_set(tc_set(t_a)))
| c_Zorn_OUnion__lemma0__1(v_x,c_Zorn_Osucc(v_S,v_x,t_a),v_Y,tc_set(t_a)) = c_Zorn_OTFin__linear__lemma1__1(v_S,c_Zorn_OUnion__lemma0__1(v_x,c_Zorn_Osucc(v_S,v_x,t_a),v_Y,tc_set(t_a)),t_a)
| ~ c_in(c_Zorn_OUnion__lemma0__1(v_x,c_Zorn_Osucc(v_S,v_x,t_a),v_Y,tc_set(t_a)),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,c_Zorn_OUnion__lemma0__1(v_x,c_Zorn_Osucc(v_S,v_x,t_a),v_Y,tc_set(t_a)),t_a),t_a),c_Zorn_OUnion__lemma0__1(v_x,c_Zorn_Osucc(v_S,v_x,t_a),v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_OUnion__lemma0__1(v_x,c_Zorn_Osucc(v_S,v_x,t_a),v_Y,tc_set(t_a)),v_Y,tc_set(tc_set(t_a)))
| spl0_3
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f9872,f9540]) ).
fof(f9879,plain,
( c_Zorn_OUnion__lemma0__1(v_x,c_Zorn_Osucc(v_S,v_x,t_a),v_Y,tc_set(t_a)) = c_Zorn_OTFin__linear__lemma1__1(v_S,c_Zorn_OUnion__lemma0__1(v_x,c_Zorn_Osucc(v_S,v_x,t_a),v_Y,tc_set(t_a)),t_a)
| ~ c_in(c_Zorn_OUnion__lemma0__1(v_x,c_Zorn_Osucc(v_S,v_x,t_a),v_Y,tc_set(t_a)),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,c_Zorn_OUnion__lemma0__1(v_x,c_Zorn_Osucc(v_S,v_x,t_a),v_Y,tc_set(t_a)),t_a),t_a),c_Zorn_OUnion__lemma0__1(v_x,c_Zorn_Osucc(v_S,v_x,t_a),v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_OUnion__lemma0__1(v_x,c_Zorn_Osucc(v_S,v_x,t_a),v_Y,tc_set(t_a)),v_Y,tc_set(tc_set(t_a)))
| spl0_3
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f9876,f321]) ).
fof(f9882,plain,
( ~ c_in(c_Zorn_OUnion__lemma0__1(v_x,c_Zorn_Osucc(v_S,v_x,t_a),v_Y,tc_set(t_a)),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,c_Zorn_OUnion__lemma0__1(v_x,c_Zorn_Osucc(v_S,v_x,t_a),v_Y,tc_set(t_a)),t_a),t_a),c_Zorn_OUnion__lemma0__1(v_x,c_Zorn_Osucc(v_S,v_x,t_a),v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_OUnion__lemma0__1(v_x,c_Zorn_Osucc(v_S,v_x,t_a),v_Y,tc_set(t_a)),v_Y,tc_set(tc_set(t_a)))
| spl0_3
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f9879,f9745]) ).
fof(f9885,plain,
( c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,c_Zorn_OUnion__lemma0__1(v_x,c_Zorn_Osucc(v_S,v_x,t_a),v_Y,tc_set(t_a)),t_a),t_a),c_Zorn_OUnion__lemma0__1(v_x,c_Zorn_Osucc(v_S,v_x,t_a),v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_OUnion__lemma0__1(v_x,c_Zorn_Osucc(v_S,v_x,t_a),v_Y,tc_set(t_a)),v_Y,tc_set(tc_set(t_a)))
| spl0_3
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f9882,f74]) ).
fof(f9886,plain,
( c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,c_Zorn_OUnion__lemma0__1(v_x,c_Zorn_Osucc(v_S,v_x,t_a),v_Y,tc_set(t_a)),t_a),t_a),c_Zorn_OUnion__lemma0__1(v_x,c_Zorn_Osucc(v_S,v_x,t_a),v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))
| spl0_3
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f9885,f148]) ).
fof(f10060,plain,
( ~ c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| spl0_3
| ~ spl0_4 ),
inference(unit_resulting_resolution,[],[f10,f9540,f321,f153,f9886]) ).
fof(f10078,plain,
( $false
| spl0_3
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f10060,f15]) ).
fof(f10079,plain,
( spl0_3
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f10078]) ).
cnf(s2,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f9546]) ).
cnf(s6,plain,
~ spl0_3,
inference(sat_conversion,[],[f9731]) ).
cnf(s11,plain,
( spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f10079]) ).
cnf(s12,plain,
~ spl0_4,
inference(rat,[],[s11,s6]) ).
cnf(s13,plain,
$false,
inference(rat,[],[s2,s12,s6]) ).
fof(f10080,plain,
$false,
inference(avatar_sat_refutation,[],[s13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET854-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36 % Computer : n009.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 28 03:01:30 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 Running first-order model finding
% 0.12/0.39 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.59/2.67 % (2623662)Will run a generic schedule for satisfiability detection.
% 15.59/2.67 % (2623668)% WARNING: option uhcvi not known.
% 15.59/2.67 % (2623672)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=997632808:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 15.59/2.67 % (2623667)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=376471483_2999 on theBenchmark for (2999ds/0Mi)
% 15.59/2.67 % (2623669)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3052929465:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 15.59/2.67 % (2623670)dis+10_1_sil=32000:sp=arity:random_seed=2201955005:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 15.59/2.67 % (2623671)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4199541337:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 15.59/2.67 % (2623668)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=731307101:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 15.59/2.67 % (2623673)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1637236718:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 15.59/2.67 % TRYING [1]
% 15.59/2.67 % TRYING [2]
% 15.59/2.67 % TRYING [3]
% 15.59/2.67 % TRYING [4]
% 15.59/2.67 % (2623670)Instruction limit reached!
% 15.59/2.67 % (2623670)------------------------------
% 15.59/2.67 % (2623670)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.59/2.67 % (2623670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.59/2.67 % (2623670)CaDiCaL version: 2.1.3
% 15.59/2.67 % (2623670)Termination reason: Instruction limit
% 15.59/2.67 % (2623670)Termination phase: Saturation
% 15.59/2.67 % (2623670)Time elapsed: 0.067 s
% 15.59/2.67 % (2623670)Peak memory usage: 11 MB
% 15.59/2.67 % (2623670)Instructions burned: 104 (million)
% 15.59/2.67 % (2623671)Instruction limit reached!
% 15.59/2.67 % (2623671)------------------------------
% 15.59/2.67 % (2623671)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.59/2.67 % (2623671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.59/2.67 % (2623671)CaDiCaL version: 2.1.3
% 15.59/2.67 % (2623671)Termination reason: Instruction limit
% 15.59/2.67 % (2623671)Termination phase: Saturation
% 15.59/2.67 % (2623671)Time elapsed: 0.069 s
% 15.59/2.67 % (2623671)Peak memory usage: 12 MB
% 15.59/2.67 % (2623671)Instructions burned: 116 (million)
% 15.59/2.67 % (2623672)Instruction limit reached!
% 15.59/2.67 % (2623672)------------------------------
% 15.59/2.67 % (2623672)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.59/2.67 % (2623672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.59/2.67 % (2623672)CaDiCaL version: 2.1.3
% 15.59/2.67 % (2623672)Termination reason: Instruction limit
% 15.59/2.67 % (2623672)Termination phase: Saturation
% 15.59/2.67 % (2623672)Time elapsed: 0.077 s
% 15.59/2.67 % (2623672)Peak memory usage: 12 MB
% 15.59/2.67 % (2623672)Instructions burned: 132 (million)
% 15.59/2.67 % (2623681)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3917984315:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 15.59/2.67 % (2623682)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=532268212:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 15.59/2.67 % TRYING [1]
% 15.59/2.67 % TRYING [2]
% 15.59/2.67 % (2623683)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2059661350:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 15.59/2.67 % TRYING [3]
% 15.59/2.67 % (2623673)Instruction limit reached!
% 15.59/2.67 % (2623673)------------------------------
% 15.59/2.67 % (2623673)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.59/2.67 % (2623673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.59/2.67 % (2623673)CaDiCaL version: 2.1.3
% 15.59/2.67 % (2623673)Termination reason: Instruction limit
% 15.59/2.67 % (2623673)Termination phase: Saturation
% 15.59/2.67 % (2623673)Time elapsed: 0.100 s
% 15.59/2.67 % (2623673)Peak memory usage: 13 MB
% 15.59/2.67 % (2623673)Instructions burned: 160 (million)
% 15.59/2.67 % (2623687)ott-21_1_sil=16000:fs=off:random_seed=1912039445:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 15.59/2.67 % TRYING [4]
% 15.59/2.67 % (2623682)Instruction limit reached!
% 15.59/2.67 % (2623682)------------------------------
% 15.59/2.67 % (2623682)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.59/2.67 % (2623682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.96/6.69 % (2623682)CaDiCaL version: 2.1.3
% 43.96/6.69 % (2623682)Termination reason: Instruction limit
% 43.96/6.69 % (2623682)Termination phase: Saturation
% 43.96/6.69 % (2623682)Time elapsed: 0.077 s
% 43.96/6.69 % (2623682)Peak memory usage: 12 MB
% 43.96/6.69 % (2623682)Instructions burned: 131 (million)
% 43.96/6.69 % (2623689)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1365687524:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 43.96/6.69 % TRYING [5]
% 43.96/6.69 % (2623687)Instruction limit reached!
% 43.96/6.69 % (2623687)------------------------------
% 43.96/6.69 % (2623687)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.96/6.69 % (2623687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.96/6.69 % (2623687)CaDiCaL version: 2.1.3
% 43.96/6.69 % (2623687)Termination reason: Instruction limit
% 43.96/6.69 % (2623687)Termination phase: Saturation
% 43.96/6.69 % (2623687)Time elapsed: 0.092 s
% 43.96/6.69 % (2623687)Peak memory usage: 11 MB
% 43.96/6.69 % (2623687)Instructions burned: 182 (million)
% 43.96/6.69 % (2623691)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2638114575:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 43.96/6.69 % TRYING [1]
% 43.96/6.69 % TRYING [2]
% 43.96/6.69 % TRYING [3]
% 43.96/6.69 % TRYING [4]
% 43.96/6.69 % TRYING [5]
% 43.96/6.69 % (2623681)Instruction limit reached!
% 43.96/6.69 % (2623681)------------------------------
% 43.96/6.69 % (2623681)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.96/6.69 % (2623681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.96/6.69 % (2623681)CaDiCaL version: 2.1.3
% 43.96/6.69 % (2623681)Termination reason: Instruction limit
% 43.96/6.69 % (2623681)Termination phase: Finite model building SAT solving
% 43.96/6.69 % (2623681)Time elapsed: 0.368 s
% 43.96/6.69 % (2623681)Peak memory usage: 21 MB
% 43.96/6.69 % (2623681)Instructions burned: 715 (million)
% 43.96/6.69 % (2623693)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3754019585:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 43.96/6.69 % (2623689)Instruction limit reached!
% 43.96/6.69 % (2623689)------------------------------
% 43.96/6.69 % (2623689)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.96/6.69 % (2623689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.96/6.69 % (2623689)CaDiCaL version: 2.1.3
% 43.96/6.69 % (2623689)Termination reason: Instruction limit
% 43.96/6.69 % (2623689)Termination phase: Saturation
% 43.96/6.69 % (2623689)Time elapsed: 0.311 s
% 43.96/6.69 % (2623689)Peak memory usage: 13 MB
% 43.96/6.69 % (2623689)Instructions burned: 478 (million)
% 43.96/6.69 % (2623683)Instruction limit reached!
% 43.96/6.69 % (2623683)------------------------------
% 43.96/6.69 % (2623683)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.96/6.69 % (2623683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.96/6.69 % (2623683)CaDiCaL version: 2.1.3
% 43.96/6.69 % (2623683)Termination reason: Instruction limit
% 43.96/6.69 % (2623683)Termination phase: Saturation
% 43.96/6.69 % (2623683)Time elapsed: 0.402 s
% 43.96/6.69 % (2623683)Peak memory usage: 16 MB
% 43.96/6.69 % (2623683)Instructions burned: 684 (million)
% 43.96/6.69 % (2623695)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=4213141239:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 43.96/6.69 % (2623696)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1682432067:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 43.96/6.69 % (2623691)Instruction limit reached!
% 43.96/6.69 % (2623691)------------------------------
% 43.96/6.69 % (2623691)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.96/6.69 % (2623691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.96/6.69 % (2623691)CaDiCaL version: 2.1.3
% 43.96/6.69 % (2623691)Termination reason: Instruction limit
% 43.96/6.69 % (2623691)Termination phase: Finite model building SAT solving
% 43.96/6.69 % (2623691)Time elapsed: 0.359 s
% 43.96/6.69 % (2623691)Peak memory usage: 22 MB
% 43.96/6.69 % (2623691)Instructions burned: 866 (million)
% 43.96/6.69 % (2623699)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=4103760782:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 43.96/6.69 % (2623696)Instruction limit reached!
% 43.96/6.69 % (2623696)------------------------------
% 79.42/11.65 % (2623696)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 79.42/11.65 % (2623696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.42/11.65 % (2623696)CaDiCaL version: 2.1.3
% 79.42/11.65 % (2623696)Termination reason: Instruction limit
% 79.42/11.65 % (2623696)Termination phase: Saturation
% 79.42/11.65 % (2623696)Time elapsed: 0.309 s
% 79.42/11.65 % (2623696)Peak memory usage: 15 MB
% 79.42/11.65 % (2623696)Instructions burned: 693 (million)
% 79.42/11.65 % (2623701)fmb+10_1_sil=64000:random_seed=452840454:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 79.42/11.65 % TRYING [1]
% 79.42/11.65 % TRYING [2]
% 79.42/11.65 % TRYING [3]
% 79.42/11.65 % TRYING [4]
% 79.42/11.65 % TRYING [14]
% 79.42/11.65 % (2623695)Instruction limit reached!
% 79.42/11.65 % (2623695)------------------------------
% 79.42/11.65 % (2623695)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 79.42/11.65 % (2623695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.42/11.65 % (2623695)CaDiCaL version: 2.1.3
% 79.42/11.65 % (2623695)Termination reason: Instruction limit
% 79.42/11.65 % (2623695)Termination phase: Finite model building constraint generation
% 79.42/11.65 % (2623695)Time elapsed: 0.406 s
% 79.42/11.65 % (2623695)Peak memory usage: 105 MB
% 79.42/11.65 % (2623695)Instructions burned: 891 (million)
% 79.42/11.65 % (2623703)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=920857320:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 79.42/11.65 % TRYING [20]
% 79.42/11.65 % TRYING [5]
% 79.42/11.65 % (2623699)Instruction limit reached!
% 79.42/11.65 % (2623699)------------------------------
% 79.42/11.65 % (2623699)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 79.42/11.65 % (2623699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.42/11.65 % (2623699)CaDiCaL version: 2.1.3
% 79.42/11.65 % (2623699)Termination reason: Instruction limit
% 79.42/11.65 % (2623699)Termination phase: Saturation
% 79.42/11.65 % (2623699)Time elapsed: 0.504 s
% 79.42/11.65 % (2623699)Peak memory usage: 18 MB
% 79.42/11.65 % (2623699)Instructions burned: 880 (million)
% 79.42/11.65 % (2623705)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=614383898:fmbsr=1.7:i=920_2988 on theBenchmark for (2988ds/920Mi)
% 79.42/11.65 % TRYING [8]
% 79.42/11.65 % (2623693)Instruction limit reached!
% 79.42/11.65 % (2623693)------------------------------
% 79.42/11.66 % (2623693)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 79.42/11.66 % (2623693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.42/11.66 % (2623693)CaDiCaL version: 2.1.3
% 79.42/11.66 % (2623693)Termination reason: Instruction limit
% 79.42/11.66 % (2623693)Termination phase: Saturation
% 79.42/11.66 % (2623693)Time elapsed: 0.690 s
% 79.42/11.66 % (2623693)Peak memory usage: 20 MB
% 79.42/11.66 % (2623693)Instructions burned: 1179 (million)
% 79.42/11.66 % (2623707)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=4131165825:i=5131_2987 on theBenchmark for (2987ds/5131Mi)
% 79.42/11.66 % TRYING [6]
% 79.42/11.66 % TRYING [6]
% 79.42/11.66 % (2623705)Instruction limit reached!
% 79.42/11.66 % (2623705)------------------------------
% 79.42/11.66 % (2623705)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 79.42/11.66 % (2623705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.42/11.66 % (2623705)CaDiCaL version: 2.1.3
% 79.42/11.66 % (2623705)Termination reason: Instruction limit
% 79.42/11.66 % (2623705)Termination phase: Finite model building constraint generation
% 79.42/11.66 % (2623705)Time elapsed: 0.392 s
% 79.42/11.66 % (2623705)Peak memory usage: 76 MB
% 79.42/11.66 % (2623705)Instructions burned: 921 (million)
% 79.42/11.66 % (2623709)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1810480255:i=1472:ins=7:fdi=8:gsp=on_2984 on theBenchmark for (2984ds/1472Mi)
% 79.42/11.66 % (2623709)Instruction limit reached!
% 79.42/11.66 % (2623709)------------------------------
% 79.42/11.66 % (2623709)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 79.42/11.66 % (2623709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.42/11.66 % (2623709)CaDiCaL version: 2.1.3
% 79.42/11.66 % (2623709)Termination reason: Instruction limit
% 79.42/11.66 % (2623709)Termination phase: Saturation
% 79.42/11.66 % (2623709)Time elapsed: 0.649 s
% 79.42/11.66 % (2623709)Peak memory usage: 21 MB
% 79.42/11.66 % (2623709)Instructions burned: 1474 (million)
% 79.42/11.66 % (2623711)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2378936781:i=6324_2977 on theBenchmark for (2977ds/6324Mi)
% 79.42/11.66 % (2623711)Cannot represent all propositional literals internally
% 79.42/11.66 % (2623711)Refutation not found, incomplete strategy
% 79.42/11.66 % (2623711)------------------------------
% 79.42/11.66 % (2623711)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 79.42/11.66 % (2623711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.42/11.66 % (2623711)CaDiCaL version: 2.1.3
% 79.42/11.66 % (2623711)Termination reason: Refutation not found, incomplete strategy
% 79.42/11.66 % (2623711)Time elapsed: 0.005 s
% 79.42/11.66 % (2623711)Peak memory usage: 10 MB
% 79.42/11.66 % (2623711)Instructions burned: 9 (million)
% 79.42/11.66 % (2623711)------------------------------
% 79.42/11.66 % (2623711)------------------------------
% 79.42/11.66 % (2623713)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2574820983:fmbsr=2.30978:i=2174_2977 on theBenchmark for (2977ds/2174Mi)
% 79.42/11.66 % TRYING [16]
% 79.42/11.66 % (2623713)Instruction limit reached!
% 79.42/11.66 % (2623713)------------------------------
% 79.42/11.66 % (2623713)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 79.42/11.66 % (2623713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.42/11.66 % (2623713)CaDiCaL version: 2.1.3
% 79.42/11.66 % (2623713)Termination reason: Instruction limit
% 79.42/11.66 % (2623713)Termination phase: Finite model building constraint generation
% 79.42/11.66 % (2623713)Time elapsed: 0.734 s
% 79.42/11.66 % (2623713)Peak memory usage: 133 MB
% 79.42/11.66 % (2623713)Instructions burned: 2174 (million)
% 79.42/11.66 % (2623715)ott-2_1_sil=16000:newcnf=on:random_seed=1479305806:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2969 on theBenchmark for (2969ds/869Mi)
% 79.42/11.66 % (2623715)Instruction limit reached!
% 79.42/11.66 % (2623715)------------------------------
% 79.42/11.66 % (2623715)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 79.42/11.66 % (2623715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.42/11.66 % (2623715)CaDiCaL version: 2.1.3
% 79.42/11.66 % (2623715)Termination reason: Instruction limit
% 79.42/11.66 % (2623715)Termination phase: Saturation
% 79.42/11.66 % (2623715)Time elapsed: 0.503 s
% 79.42/11.66 % (2623715)Peak memory usage: 16 MB
% 79.42/11.66 % (2623715)Instructions burned: 869 (million)
% 79.42/11.66 % (2623717)ott+10_1_sil=32000:tgt=ground:random_seed=418545827:i=5114:av=off_2964 on theBenchmark for (2964ds/5114Mi)
% 79.42/11.66 % (2623707)Instruction limit reached!
% 79.42/11.66 % (2623707)------------------------------
% 79.42/11.66 % (2623707)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 79.42/11.66 % (2623707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.42/11.66 % (2623707)CaDiCaL version: 2.1.3
% 79.42/11.66 % (2623707)Termination reason: Instruction limit
% 79.42/11.66 % (2623707)Termination phase: Saturation
% 79.42/11.66 % (2623707)Time elapsed: 2.814 s
% 79.42/11.66 % (2623707)Peak memory usage: 21 MB
% 79.42/11.66 % (2623707)Instructions burned: 5131 (million)
% 79.42/11.66 % (2623719)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1328458306:i=54282_2959 on theBenchmark for (2959ds/54282Mi)
% 79.42/11.66 % TRYING [1]
% 79.42/11.66 % TRYING [2]
% 79.42/11.66 % TRYING [3]
% 79.42/11.66 % TRYING [4]
% 79.42/11.66 % TRYING [5]
% 79.42/11.66 % (2623703)Instruction limit reached!
% 79.42/11.66 % (2623703)------------------------------
% 79.42/11.66 % (2623703)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 79.42/11.66 % (2623703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.42/11.66 % (2623703)CaDiCaL version: 2.1.3
% 79.42/11.66 % (2623703)Termination reason: Instruction limit
% 79.42/11.66 % (2623703)Termination phase: Finite model building constraint generation
% 79.42/11.66 % (2623703)Time elapsed: 3.284 s
% 79.42/11.66 % (2623703)Peak memory usage: 576 MB
% 79.42/11.66 % (2623703)Instructions burned: 9518 (million)
% 79.42/11.66 % (2623721)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=831945261:i=3512:aac=none_2956 on theBenchmark for (2956ds/3512Mi)
% 79.42/11.66 % TRYING [6]
% 79.42/11.66 % (2623721)Instruction limit reached!
% 79.42/11.66 % (2623721)------------------------------
% 79.42/11.66 % (2623721)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 79.42/11.66 % (2623721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.42/11.66 % (2623721)CaDiCaL version: 2.1.3
% 79.42/11.66 % (2623721)Termination reason: Instruction limit
% 79.42/11.66 % (2623721)Termination phase: Saturation
% 79.42/11.66 % (2623721)Time elapsed: 1.907 s
% 79.42/11.66 % (2623721)Peak memory usage: 19 MB
% 79.42/11.66 % (2623721)Instructions burned: 3512 (million)
% 79.42/11.66 % (2623723)dis+21_1_sil=32000:sas=cadical:random_seed=3775375467:i=3773:amm=off_2937 on theBenchmark for (2937ds/3773Mi)
% 79.42/11.66 % (2623717)Instruction limit reached!
% 79.42/11.66 % (2623717)------------------------------
% 79.42/11.66 % (2623717)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 79.42/11.66 % (2623717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.42/11.66 % (2623717)CaDiCaL version: 2.1.3
% 79.42/11.66 % (2623717)Termination reason: Instruction limit
% 79.42/11.66 % (2623717)Termination phase: Saturation
% 79.42/11.66 % (2623717)Time elapsed: 3.188 s
% 79.42/11.66 % (2623717)Peak memory usage: 32 MB
% 79.42/11.66 % (2623717)Instructions burned: 5115 (million)
% 79.42/11.66 % (2623725)ott+11_1_sil=16000:gs=on:random_seed=2784235515:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2932 on theBenchmark for (2932ds/2251Mi)
% 79.42/11.66 % (2623725)Instruction limit reached!
% 79.42/11.66 % (2623725)------------------------------
% 79.42/11.66 % (2623725)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 79.42/11.66 % (2623725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.42/11.66 % (2623725)CaDiCaL version: 2.1.3
% 79.42/11.66 % (2623725)Termination reason: Instruction limit
% 79.42/11.66 % (2623725)Termination phase: Saturation
% 79.42/11.66 % (2623725)Time elapsed: 1.278 s
% 79.42/11.66 % (2623725)Peak memory usage: 25 MB
% 79.42/11.66 % (2623725)Instructions burned: 2251 (million)
% 79.42/11.66 % (2623727)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=861904772:fmbsr=1.6:i=67534_2919 on theBenchmark for (2919ds/67534Mi)
% 79.42/11.66 % TRYING [7]
% 79.42/11.66 % (2623723)Instruction limit reached!
% 79.42/11.66 % (2623723)------------------------------
% 79.42/11.66 % (2623723)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 79.42/11.66 % (2623723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.42/11.66 % (2623723)CaDiCaL version: 2.1.3
% 79.42/11.66 % (2623723)Termination reason: Instruction limit
% 79.42/11.66 % (2623723)Termination phase: Saturation
% 79.42/11.66 % (2623723)Time elapsed: 2.321 s
% 79.42/11.66 % (2623723)Peak memory usage: 23 MB
% 79.42/11.66 % (2623723)Instructions burned: 3773 (million)
% 79.42/11.66 % (2623729)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=1161583564:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2913 on theBenchmark for (2913ds/4591Mi)
% 79.42/11.66 % TRYING [7]
% 79.42/11.66 % (2623729)Instruction limit reached!
% 79.42/11.66 % (2623729)------------------------------
% 79.42/11.66 % (2623729)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 79.42/11.66 % (2623729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.42/11.66 % (2623729)CaDiCaL version: 2.1.3
% 79.42/11.66 % (2623729)Termination reason: Instruction limit
% 79.42/11.66 % (2623729)Termination phase: Saturation
% 79.42/11.66 % (2623729)Time elapsed: 1.815 s
% 79.42/11.66 % (2623729)Peak memory usage: 27 MB
% 79.42/11.66 % (2623729)Instructions burned: 4592 (million)
% 79.42/11.66 % (2623731)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=2697312450:i=29340_2895 on theBenchmark for (2895ds/29340Mi)
% 79.42/11.66 % (2623731) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2623662-2623731"...
% 79.42/11.66 % (2623731)...printing done.
% 79.42/11.66 % (2623731)Refutation found. Thanks to Tanya!
% 79.42/11.66 % SZS status Unsatisfiable for theBenchmark
% 79.42/11.66 % SZS output start Proof for theBenchmark
% See solution above
% 79.42/11.66 % (2623731)------------------------------
% 79.42/11.66 % (2623731)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 79.42/11.66 % (2623731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.42/11.66 % (2623731)CaDiCaL version: 2.1.3
% 79.42/11.66 % (2623731)Termination reason: Refutation
% 79.42/11.66 % (2623731)Time elapsed: 0.743 s
% 79.42/11.66 % (2623731)Peak memory usage: 18 MB
% 79.42/11.66 % (2623731)Instructions burned: 1313 (million)
% 79.42/11.66 % (2623662)Success in time 11.26 s
% 79.42/11.66 % Vampire exiting
%------------------------------------------------------------------------------