%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET854-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 12:42:09 PM UTC 2026
% Result : Unsatisfiable 6.67s 2.03s
% Output : Refutation 9.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 24
% Syntax : Number of formulae : 132 ( 31 unt; 6 def)
% Number of atoms : 510 ( 52 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 584 ( 206 ~; 378 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 10 con; 0-4 aty)
% Number of variables : 249 ( 249 !; 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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_Zorn_OAbrial__axiom1_0) ).
fof(f7,axiom,
! [X2,X3,X0,X1] :
( c_in(c_Zorn_OTFin__linear__lemma1__1(X1,X0,X2),c_Zorn_OTFin(X1,X2),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/sandbox/benchmark/theBenchmark.p',cls_Zorn_OTFin__linear__lemma1_0) ).
fof(f8,axiom,
! [X2,X3,X0,X1] :
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X1,X0,X2),X0,tc_set(tc_set(X2)))
| ~ c_in(X3,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| c_lessequals(X3,X0,tc_set(tc_set(X2)))
| ~ c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_Osucc(X1,X0,X2),X3,tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OTFin__linear__lemma1_1) ).
fof(f9,axiom,
! [X2,X3,X0,X1] :
( c_lessequals(c_Zorn_Osucc(X1,X0,X2),X3,tc_set(tc_set(X2)))
| ~ c_in(X3,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| c_Zorn_OTFin__linear__lemma1__1(X1,X0,X2) != X0
| c_lessequals(X3,X0,tc_set(tc_set(X2)))
| ~ c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f17,negated_conjecture,
v_x != c_Union(v_Y,tc_set(t_a)),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f19,negated_conjecture,
! [X0,X1] :
( c_lessequals(c_Zorn_Osucc(v_S,X0,t_a),X1,tc_set(tc_set(t_a)))
| X0 = X1
| ~ c_lessequals(X0,X1,tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X1,v_Y,tc_set(tc_set(t_a))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f20,definition,
sF0 = c_Zorn_OTFin(v_S,t_a),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f21,plain,
c_Zorn_OTFin(v_S,t_a) = sF0,
inference(reorient_equations,[],[f20]) ).
fof(f22,definition,
sF1 = tc_set(t_a),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f23,plain,
tc_set(t_a) = sF1,
inference(reorient_equations,[],[f22]) ).
fof(f24,definition,
sF2 = tc_set(sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f25,plain,
tc_set(sF1) = sF2,
inference(reorient_equations,[],[f24]) ).
fof(f26,definition,
sF3 = tc_set(sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f27,plain,
tc_set(sF2) = sF3,
inference(reorient_equations,[],[f26]) ).
fof(f28,plain,
c_lessequals(v_Y,sF0,sF3),
inference(definition_folding,[],[f14,f27,f25,f23,f21]) ).
fof(f29,plain,
c_in(v_x,sF0,sF2),
inference(definition_folding,[],[f15,f25,f23,f21]) ).
fof(f30,definition,
sF4 = c_Union(v_Y,sF1),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f31,plain,
c_Union(v_Y,sF1) = sF4,
inference(reorient_equations,[],[f30]) ).
fof(f32,plain,
c_lessequals(v_x,sF4,sF2),
inference(definition_folding,[],[f16,f25,f23,f31,f23]) ).
fof(f33,plain,
v_x != sF4,
inference(definition_folding,[],[f17,f31,f23]) ).
fof(f34,definition,
sF5 = c_Zorn_Osucc(v_S,v_x,t_a),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f35,plain,
c_Zorn_Osucc(v_S,v_x,t_a) = sF5,
inference(reorient_equations,[],[f34]) ).
fof(f36,plain,
~ c_lessequals(sF5,sF4,sF2),
inference(definition_folding,[],[f18,f25,f23,f31,f23,f35]) ).
fof(f37,plain,
! [X0,X1] :
( c_lessequals(c_Zorn_Osucc(v_S,X0,t_a),X1,sF2)
| X0 = X1
| ~ c_lessequals(X0,X1,sF2)
| ~ c_in(X0,sF0,sF2)
| ~ c_in(X1,v_Y,sF2) ),
inference(definition_folding,[],[f19,f25,f23,f25,f23,f21,f25,f23,f25,f23]) ).
fof(f46,plain,
! [X0] :
( c_lessequals(sF5,X0,sF2)
| v_x = X0
| ~ c_lessequals(v_x,X0,sF2)
| ~ c_in(v_x,sF0,sF2)
| ~ c_in(X0,v_Y,sF2) ),
inference(superposition,[],[f37,f35]) ).
fof(f47,plain,
! [X0] :
( ~ c_in(X0,v_Y,sF2)
| v_x = X0
| ~ c_lessequals(v_x,X0,sF2)
| c_lessequals(sF5,X0,sF2) ),
inference(forward_subsumption_resolution,[],[f46,f29]) ).
fof(f50,plain,
! [X2,X3,X0,X1] :
( c_in(X0,c_Zorn_Osucc(X3,X1,X2),tc_set(X2))
| ~ c_in(X0,X1,tc_set(X2)) ),
inference(resolution,[],[f3,f6]) ).
fof(f51,plain,
! [X2,X0,X1] :
( c_in(X2,X1,sF1)
| ~ c_in(X2,X0,sF1)
| ~ c_lessequals(X0,X1,sF2) ),
inference(superposition,[],[f3,f25]) ).
fof(f52,plain,
! [X2,X0,X1] :
( c_in(X2,X1,sF2)
| ~ c_in(X2,X0,sF2)
| ~ c_lessequals(X0,X1,sF3) ),
inference(superposition,[],[f3,f27]) ).
fof(f55,plain,
! [X0,X1] :
( c_lessequals(X0,X0,tc_set(X1))
| c_lessequals(X0,X0,tc_set(X1)) ),
inference(resolution,[],[f5,f4]) ).
fof(f56,plain,
! [X0,X1] : c_lessequals(X0,X0,tc_set(X1)),
inference(duplicate_literal_removal,[],[f55]) ).
fof(f62,plain,
! [X2,X0,X1] :
( ~ c_lessequals(c_Zorn_Osucc(X0,c_Zorn_OTFin__linear__lemma1__1(X0,X1,t_a),t_a),X1,tc_set(sF1))
| ~ c_in(X2,c_Zorn_OTFin(X0,t_a),tc_set(sF1))
| ~ c_in(X1,c_Zorn_OTFin(X0,t_a),tc_set(sF1))
| c_lessequals(X2,X1,tc_set(sF1))
| c_lessequals(c_Zorn_Osucc(X0,X1,t_a),X2,tc_set(sF1)) ),
inference(superposition,[],[f10,f23]) ).
fof(f63,plain,
! [X2,X0,X1] :
( ~ c_lessequals(c_Zorn_Osucc(X0,c_Zorn_OTFin__linear__lemma1__1(X0,X1,t_a),t_a),X1,sF2)
| ~ c_in(X2,c_Zorn_OTFin(X0,t_a),tc_set(sF1))
| ~ c_in(X1,c_Zorn_OTFin(X0,t_a),tc_set(sF1))
| c_lessequals(X2,X1,tc_set(sF1))
| c_lessequals(c_Zorn_Osucc(X0,X1,t_a),X2,tc_set(sF1)) ),
inference(forward_demodulation,[],[f62,f25]) ).
fof(f65,plain,
! [X2,X0,X1] :
( ~ c_in(X2,c_Zorn_OTFin(X0,t_a),sF2)
| ~ c_lessequals(c_Zorn_Osucc(X0,c_Zorn_OTFin__linear__lemma1__1(X0,X1,t_a),t_a),X1,sF2)
| ~ c_in(X1,c_Zorn_OTFin(X0,t_a),tc_set(sF1))
| c_lessequals(X2,X1,tc_set(sF1))
| c_lessequals(c_Zorn_Osucc(X0,X1,t_a),X2,tc_set(sF1)) ),
inference(forward_demodulation,[],[f63,f25]) ).
fof(f67,plain,
! [X2,X0,X1] :
( ~ c_in(X1,c_Zorn_OTFin(X0,t_a),sF2)
| ~ c_in(X2,c_Zorn_OTFin(X0,t_a),sF2)
| ~ c_lessequals(c_Zorn_Osucc(X0,c_Zorn_OTFin__linear__lemma1__1(X0,X1,t_a),t_a),X1,sF2)
| c_lessequals(X2,X1,tc_set(sF1))
| c_lessequals(c_Zorn_Osucc(X0,X1,t_a),X2,tc_set(sF1)) ),
inference(forward_demodulation,[],[f65,f25]) ).
fof(f69,plain,
! [X2,X0,X1] :
( c_lessequals(X2,X1,sF2)
| ~ c_in(X1,c_Zorn_OTFin(X0,t_a),sF2)
| ~ c_in(X2,c_Zorn_OTFin(X0,t_a),sF2)
| ~ c_lessequals(c_Zorn_Osucc(X0,c_Zorn_OTFin__linear__lemma1__1(X0,X1,t_a),t_a),X1,sF2)
| c_lessequals(c_Zorn_Osucc(X0,X1,t_a),X2,tc_set(sF1)) ),
inference(forward_demodulation,[],[f67,f25]) ).
fof(f71,plain,
! [X2,X0,X1] :
( ~ c_lessequals(c_Zorn_Osucc(X0,c_Zorn_OTFin__linear__lemma1__1(X0,X1,t_a),t_a),X1,sF2)
| c_lessequals(X2,X1,sF2)
| ~ c_in(X1,c_Zorn_OTFin(X0,t_a),sF2)
| ~ c_in(X2,c_Zorn_OTFin(X0,t_a),sF2)
| c_lessequals(c_Zorn_Osucc(X0,X1,t_a),X2,sF2) ),
inference(forward_demodulation,[],[f69,f25]) ).
fof(f74,plain,
! [X0,X1] :
( ~ c_lessequals(X1,X0,sF2)
| ~ c_lessequals(X0,X1,sF2)
| X0 = X1 ),
inference(superposition,[],[f2,f25]) ).
fof(f91,plain,
( ~ c_lessequals(sF4,v_x,sF2)
| v_x = sF4 ),
inference(resolution,[],[f74,f32]) ).
fof(f92,plain,
~ c_lessequals(sF4,v_x,sF2),
inference(forward_subsumption_resolution,[],[f91,f33]) ).
fof(f106,plain,
! [X2,X0,X1] :
( c_in(c_Zorn_OUnion__lemma0__1(X0,X1,X2,sF1),X2,sF2)
| c_lessequals(X1,c_Union(X2,sF1),sF2)
| c_lessequals(c_Union(X2,sF1),X0,sF2) ),
inference(superposition,[],[f11,f25]) ).
fof(f109,plain,
! [X0,X1] :
( c_lessequals(X0,X1,sF2)
| ~ c_in(X1,c_Zorn_OTFin(v_S,t_a),sF2)
| ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),sF2)
| c_lessequals(c_Zorn_Osucc(v_S,X1,t_a),X0,sF2)
| c_Zorn_OTFin__linear__lemma1__1(v_S,X1,t_a) = X1
| ~ c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,X1,t_a),X1,sF2)
| ~ c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,X1,t_a),sF0,sF2)
| ~ c_in(X1,v_Y,sF2) ),
inference(resolution,[],[f71,f37]) ).
fof(f110,plain,
! [X0,X1] :
( ~ c_in(X1,sF0,sF2)
| c_lessequals(X0,X1,sF2)
| ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),sF2)
| c_lessequals(c_Zorn_Osucc(v_S,X1,t_a),X0,sF2)
| c_Zorn_OTFin__linear__lemma1__1(v_S,X1,t_a) = X1
| ~ c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,X1,t_a),X1,sF2)
| ~ c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,X1,t_a),sF0,sF2)
| ~ c_in(X1,v_Y,sF2) ),
inference(forward_demodulation,[],[f109,f21]) ).
fof(f111,plain,
! [X0,X1] :
( ~ c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,X1,t_a),sF0,sF2)
| ~ c_in(X1,sF0,sF2)
| c_lessequals(X0,X1,sF2)
| c_lessequals(c_Zorn_Osucc(v_S,X1,t_a),X0,sF2)
| c_Zorn_OTFin__linear__lemma1__1(v_S,X1,t_a) = X1
| ~ c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,X1,t_a),X1,sF2)
| ~ c_in(X0,sF0,sF2)
| ~ c_in(X1,v_Y,sF2) ),
inference(forward_demodulation,[],[f110,f21]) ).
fof(f112,plain,
! [X2,X0,X1] :
( ~ c_lessequals(X0,c_Zorn_OUnion__lemma0__1(X1,X0,X2,sF1),sF2)
| c_lessequals(X0,c_Union(X2,sF1),sF2)
| c_lessequals(c_Union(X2,sF1),X1,sF2) ),
inference(superposition,[],[f13,f25]) ).
fof(f122,plain,
! [X2,X0,X1] :
( c_lessequals(c_Zorn_Osucc(X0,X1,t_a),X2,tc_set(sF1))
| ~ c_in(X2,c_Zorn_OTFin(X0,t_a),tc_set(sF1))
| c_Zorn_OTFin__linear__lemma1__1(X0,X1,t_a) != X1
| c_lessequals(X2,X1,tc_set(sF1))
| ~ c_in(X1,c_Zorn_OTFin(X0,t_a),tc_set(sF1)) ),
inference(superposition,[],[f9,f23]) ).
fof(f124,plain,
! [X2,X0,X1] :
( c_lessequals(c_Zorn_Osucc(X0,X1,t_a),X2,sF2)
| ~ c_in(X2,c_Zorn_OTFin(X0,t_a),tc_set(sF1))
| c_Zorn_OTFin__linear__lemma1__1(X0,X1,t_a) != X1
| c_lessequals(X2,X1,tc_set(sF1))
| ~ c_in(X1,c_Zorn_OTFin(X0,t_a),tc_set(sF1)) ),
inference(forward_demodulation,[],[f122,f25]) ).
fof(f128,plain,
! [X2,X0,X1] :
( ~ c_in(X2,c_Zorn_OTFin(X0,t_a),sF2)
| c_lessequals(c_Zorn_Osucc(X0,X1,t_a),X2,sF2)
| c_Zorn_OTFin__linear__lemma1__1(X0,X1,t_a) != X1
| c_lessequals(X2,X1,tc_set(sF1))
| ~ c_in(X1,c_Zorn_OTFin(X0,t_a),tc_set(sF1)) ),
inference(forward_demodulation,[],[f124,f25]) ).
fof(f131,plain,
! [X2,X0,X1] :
( c_lessequals(X2,X1,sF2)
| ~ c_in(X2,c_Zorn_OTFin(X0,t_a),sF2)
| c_lessequals(c_Zorn_Osucc(X0,X1,t_a),X2,sF2)
| c_Zorn_OTFin__linear__lemma1__1(X0,X1,t_a) != X1
| ~ c_in(X1,c_Zorn_OTFin(X0,t_a),tc_set(sF1)) ),
inference(forward_demodulation,[],[f128,f25]) ).
fof(f134,plain,
! [X2,X0,X1] :
( c_lessequals(c_Zorn_Osucc(X0,X1,t_a),X2,sF2)
| c_lessequals(X2,X1,sF2)
| ~ c_in(X2,c_Zorn_OTFin(X0,t_a),sF2)
| ~ c_in(X1,c_Zorn_OTFin(X0,t_a),sF2)
| c_Zorn_OTFin__linear__lemma1__1(X0,X1,t_a) != X1 ),
inference(forward_demodulation,[],[f131,f25]) ).
fof(f152,plain,
! [X2,X0,X1] :
( ~ c_lessequals(c_Zorn_OUnion__lemma0__1(X0,X1,X2,sF1),X0,sF2)
| c_lessequals(X1,c_Union(X2,sF1),sF2)
| c_lessequals(c_Union(X2,sF1),X0,sF2) ),
inference(superposition,[],[f12,f25]) ).
fof(f158,plain,
! [X2,X0,X1] :
( c_in(c_Zorn_OTFin__linear__lemma1__1(X0,X1,t_a),c_Zorn_OTFin(X0,t_a),tc_set(sF1))
| ~ c_in(X2,c_Zorn_OTFin(X0,t_a),tc_set(sF1))
| ~ c_in(X1,c_Zorn_OTFin(X0,t_a),tc_set(sF1))
| c_lessequals(X2,X1,tc_set(sF1))
| c_lessequals(c_Zorn_Osucc(X0,X1,t_a),X2,tc_set(sF1)) ),
inference(superposition,[],[f7,f23]) ).
fof(f159,plain,
! [X2,X0,X1] :
( c_in(c_Zorn_OTFin__linear__lemma1__1(X0,X1,t_a),c_Zorn_OTFin(X0,t_a),sF2)
| ~ c_in(X2,c_Zorn_OTFin(X0,t_a),tc_set(sF1))
| ~ c_in(X1,c_Zorn_OTFin(X0,t_a),tc_set(sF1))
| c_lessequals(X2,X1,tc_set(sF1))
| c_lessequals(c_Zorn_Osucc(X0,X1,t_a),X2,tc_set(sF1)) ),
inference(forward_demodulation,[],[f158,f25]) ).
fof(f162,plain,
! [X2,X0,X1] :
( ~ c_in(X2,c_Zorn_OTFin(X0,t_a),sF2)
| c_in(c_Zorn_OTFin__linear__lemma1__1(X0,X1,t_a),c_Zorn_OTFin(X0,t_a),sF2)
| ~ c_in(X1,c_Zorn_OTFin(X0,t_a),tc_set(sF1))
| c_lessequals(X2,X1,tc_set(sF1))
| c_lessequals(c_Zorn_Osucc(X0,X1,t_a),X2,tc_set(sF1)) ),
inference(forward_demodulation,[],[f159,f25]) ).
fof(f165,plain,
! [X2,X0,X1] :
( ~ c_in(X1,c_Zorn_OTFin(X0,t_a),sF2)
| ~ c_in(X2,c_Zorn_OTFin(X0,t_a),sF2)
| c_in(c_Zorn_OTFin__linear__lemma1__1(X0,X1,t_a),c_Zorn_OTFin(X0,t_a),sF2)
| c_lessequals(X2,X1,tc_set(sF1))
| c_lessequals(c_Zorn_Osucc(X0,X1,t_a),X2,tc_set(sF1)) ),
inference(forward_demodulation,[],[f162,f25]) ).
fof(f168,plain,
! [X2,X0,X1] :
( c_lessequals(X2,X1,sF2)
| ~ c_in(X1,c_Zorn_OTFin(X0,t_a),sF2)
| ~ c_in(X2,c_Zorn_OTFin(X0,t_a),sF2)
| c_in(c_Zorn_OTFin__linear__lemma1__1(X0,X1,t_a),c_Zorn_OTFin(X0,t_a),sF2)
| c_lessequals(c_Zorn_Osucc(X0,X1,t_a),X2,tc_set(sF1)) ),
inference(forward_demodulation,[],[f165,f25]) ).
fof(f171,plain,
! [X2,X0,X1] :
( c_in(c_Zorn_OTFin__linear__lemma1__1(X0,X1,t_a),c_Zorn_OTFin(X0,t_a),sF2)
| c_lessequals(X2,X1,sF2)
| ~ c_in(X1,c_Zorn_OTFin(X0,t_a),sF2)
| ~ c_in(X2,c_Zorn_OTFin(X0,t_a),sF2)
| c_lessequals(c_Zorn_Osucc(X0,X1,t_a),X2,sF2) ),
inference(forward_demodulation,[],[f168,f25]) ).
fof(f192,plain,
! [X2,X0,X1] :
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X0,X1,t_a),X1,tc_set(sF1))
| ~ c_in(X2,c_Zorn_OTFin(X0,t_a),tc_set(sF1))
| c_lessequals(X2,X1,tc_set(sF1))
| ~ c_in(X1,c_Zorn_OTFin(X0,t_a),tc_set(sF1))
| c_lessequals(c_Zorn_Osucc(X0,X1,t_a),X2,tc_set(sF1)) ),
inference(superposition,[],[f8,f23]) ).
fof(f193,plain,
! [X2,X0,X1] :
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X0,X1,t_a),X1,sF2)
| ~ c_in(X2,c_Zorn_OTFin(X0,t_a),tc_set(sF1))
| c_lessequals(X2,X1,tc_set(sF1))
| ~ c_in(X1,c_Zorn_OTFin(X0,t_a),tc_set(sF1))
| c_lessequals(c_Zorn_Osucc(X0,X1,t_a),X2,tc_set(sF1)) ),
inference(forward_demodulation,[],[f192,f25]) ).
fof(f196,plain,
! [X2,X0,X1] :
( ~ c_in(X2,c_Zorn_OTFin(X0,t_a),sF2)
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X0,X1,t_a),X1,sF2)
| c_lessequals(X2,X1,tc_set(sF1))
| ~ c_in(X1,c_Zorn_OTFin(X0,t_a),tc_set(sF1))
| c_lessequals(c_Zorn_Osucc(X0,X1,t_a),X2,tc_set(sF1)) ),
inference(forward_demodulation,[],[f193,f25]) ).
fof(f198,plain,
! [X2,X0,X1] :
( c_lessequals(X2,X1,sF2)
| ~ c_in(X2,c_Zorn_OTFin(X0,t_a),sF2)
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X0,X1,t_a),X1,sF2)
| ~ c_in(X1,c_Zorn_OTFin(X0,t_a),tc_set(sF1))
| c_lessequals(c_Zorn_Osucc(X0,X1,t_a),X2,tc_set(sF1)) ),
inference(forward_demodulation,[],[f196,f25]) ).
fof(f200,plain,
! [X2,X0,X1] :
( ~ c_in(X1,c_Zorn_OTFin(X0,t_a),sF2)
| c_lessequals(X2,X1,sF2)
| ~ c_in(X2,c_Zorn_OTFin(X0,t_a),sF2)
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X0,X1,t_a),X1,sF2)
| c_lessequals(c_Zorn_Osucc(X0,X1,t_a),X2,tc_set(sF1)) ),
inference(forward_demodulation,[],[f198,f25]) ).
fof(f202,plain,
! [X2,X0,X1] :
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X0,X1,t_a),X1,sF2)
| ~ c_in(X1,c_Zorn_OTFin(X0,t_a),sF2)
| c_lessequals(X2,X1,sF2)
| ~ c_in(X2,c_Zorn_OTFin(X0,t_a),sF2)
| c_lessequals(c_Zorn_Osucc(X0,X1,t_a),X2,sF2) ),
inference(forward_demodulation,[],[f200,f25]) ).
fof(f207,plain,
! [X0,X1] :
( c_lessequals(X0,c_Union(v_Y,sF1),sF2)
| c_lessequals(c_Union(v_Y,sF1),X1,sF2)
| v_x = c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,sF1)
| ~ c_lessequals(v_x,c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,sF1),sF2)
| c_lessequals(sF5,c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,sF1),sF2) ),
inference(resolution,[],[f106,f47]) ).
fof(f209,plain,
! [X0,X1] :
( c_lessequals(X0,sF4,sF2)
| c_lessequals(c_Union(v_Y,sF1),X1,sF2)
| v_x = c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,sF1)
| ~ c_lessequals(v_x,c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,sF1),sF2)
| c_lessequals(sF5,c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,sF1),sF2) ),
inference(forward_demodulation,[],[f207,f31]) ).
fof(f210,plain,
! [X0,X1] :
( c_lessequals(sF5,c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,sF1),sF2)
| c_lessequals(X0,sF4,sF2)
| v_x = c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,sF1)
| ~ c_lessequals(v_x,c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,sF1),sF2)
| c_lessequals(sF4,X1,sF2) ),
inference(forward_demodulation,[],[f209,f31]) ).
fof(f213,plain,
! [X2,X0,X1] :
( ~ c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,X0,t_a),X2,sF2)
| c_lessequals(X1,X0,sF2)
| c_lessequals(c_Zorn_Osucc(v_S,X0,t_a),X1,sF2)
| c_Zorn_OTFin__linear__lemma1__1(v_S,X0,t_a) = X0
| ~ c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,X0,t_a),X0,sF2)
| ~ c_in(X1,sF0,sF2)
| ~ c_in(X0,v_Y,sF2)
| ~ c_in(X0,sF0,sF2)
| ~ c_lessequals(X2,sF0,sF3) ),
inference(resolution,[],[f111,f52]) ).
fof(f221,plain,
! [X0] : c_lessequals(X0,X0,sF2),
inference(superposition,[],[f56,f25]) ).
fof(f222,plain,
! [X0] : c_lessequals(X0,X0,sF3),
inference(superposition,[],[f56,f27]) ).
fof(f227,plain,
! [X2,X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,X1,sF1),X2,sF1)
| ~ c_lessequals(X2,X1,sF2)
| c_lessequals(X0,X1,tc_set(sF1)) ),
inference(resolution,[],[f51,f5]) ).
fof(f228,plain,
! [X2,X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,X1,sF1),X2,sF1)
| c_lessequals(X0,X1,sF2)
| ~ c_lessequals(X2,X1,sF2) ),
inference(forward_demodulation,[],[f227,f25]) ).
fof(f273,plain,
! [X2,X0,X1] :
( c_in(X0,c_Zorn_Osucc(X1,X2,t_a),sF1)
| ~ c_in(X0,X2,sF1) ),
inference(superposition,[],[f50,f23]) ).
fof(f291,plain,
! [X0] :
( c_lessequals(sF5,c_Union(v_Y,sF1),sF2)
| c_lessequals(c_Union(v_Y,sF1),X0,sF2)
| c_lessequals(sF5,sF4,sF2)
| v_x = c_Zorn_OUnion__lemma0__1(X0,sF5,v_Y,sF1)
| ~ c_lessequals(v_x,c_Zorn_OUnion__lemma0__1(X0,sF5,v_Y,sF1),sF2)
| c_lessequals(sF4,X0,sF2) ),
inference(resolution,[],[f112,f210]) ).
fof(f292,plain,
! [X0] :
( c_lessequals(sF5,c_Union(v_Y,sF1),sF2)
| c_lessequals(c_Union(v_Y,sF1),X0,sF2)
| v_x = c_Zorn_OUnion__lemma0__1(X0,sF5,v_Y,sF1)
| ~ c_lessequals(v_x,c_Zorn_OUnion__lemma0__1(X0,sF5,v_Y,sF1),sF2)
| c_lessequals(sF4,X0,sF2) ),
inference(forward_subsumption_resolution,[],[f291,f36]) ).
fof(f293,plain,
! [X0] :
( c_lessequals(sF5,sF4,sF2)
| c_lessequals(c_Union(v_Y,sF1),X0,sF2)
| v_x = c_Zorn_OUnion__lemma0__1(X0,sF5,v_Y,sF1)
| ~ c_lessequals(v_x,c_Zorn_OUnion__lemma0__1(X0,sF5,v_Y,sF1),sF2)
| c_lessequals(sF4,X0,sF2) ),
inference(forward_demodulation,[],[f292,f31]) ).
fof(f294,plain,
! [X0] :
( c_lessequals(c_Union(v_Y,sF1),X0,sF2)
| v_x = c_Zorn_OUnion__lemma0__1(X0,sF5,v_Y,sF1)
| ~ c_lessequals(v_x,c_Zorn_OUnion__lemma0__1(X0,sF5,v_Y,sF1),sF2)
| c_lessequals(sF4,X0,sF2) ),
inference(forward_subsumption_resolution,[],[f293,f36]) ).
fof(f295,plain,
! [X0] :
( c_lessequals(sF4,X0,sF2)
| v_x = c_Zorn_OUnion__lemma0__1(X0,sF5,v_Y,sF1)
| ~ c_lessequals(v_x,c_Zorn_OUnion__lemma0__1(X0,sF5,v_Y,sF1),sF2)
| c_lessequals(sF4,X0,sF2) ),
inference(forward_demodulation,[],[f294,f31]) ).
fof(f296,plain,
! [X0] :
( ~ c_lessequals(v_x,c_Zorn_OUnion__lemma0__1(X0,sF5,v_Y,sF1),sF2)
| v_x = c_Zorn_OUnion__lemma0__1(X0,sF5,v_Y,sF1)
| c_lessequals(sF4,X0,sF2) ),
inference(duplicate_literal_removal,[],[f295]) ).
fof(f551,plain,
! [X2,X0,X1] :
( c_lessequals(X0,X1,sF2)
| c_lessequals(c_Zorn_Osucc(v_S,X1,t_a),X0,sF2)
| c_Zorn_OTFin__linear__lemma1__1(v_S,X1,t_a) = X1
| ~ c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,X1,t_a),X1,sF2)
| ~ c_in(X0,sF0,sF2)
| ~ c_in(X1,v_Y,sF2)
| ~ c_in(X1,sF0,sF2)
| ~ c_lessequals(c_Zorn_OTFin(v_S,t_a),sF0,sF3)
| c_lessequals(X2,X1,sF2)
| ~ c_in(X1,c_Zorn_OTFin(v_S,t_a),sF2)
| ~ c_in(X2,c_Zorn_OTFin(v_S,t_a),sF2)
| c_lessequals(c_Zorn_Osucc(v_S,X1,t_a),X2,sF2) ),
inference(resolution,[],[f213,f171]) ).
fof(f556,plain,
! [X2,X0,X1] :
( c_lessequals(X0,X1,sF2)
| c_lessequals(c_Zorn_Osucc(v_S,X1,t_a),X0,sF2)
| c_Zorn_OTFin__linear__lemma1__1(v_S,X1,t_a) = X1
| ~ c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,X1,t_a),X1,sF2)
| ~ c_in(X0,sF0,sF2)
| ~ c_in(X1,v_Y,sF2)
| ~ c_lessequals(c_Zorn_OTFin(v_S,t_a),sF0,sF3)
| c_lessequals(X2,X1,sF2)
| ~ c_in(X1,c_Zorn_OTFin(v_S,t_a),sF2)
| ~ c_in(X2,c_Zorn_OTFin(v_S,t_a),sF2)
| c_lessequals(c_Zorn_Osucc(v_S,X1,t_a),X2,sF2) ),
inference(forward_subsumption_resolution,[],[f551,f52]) ).
fof(f557,plain,
! [X2,X0,X1] :
( c_lessequals(X0,X1,sF2)
| c_lessequals(c_Zorn_Osucc(v_S,X1,t_a),X0,sF2)
| ~ c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,X1,t_a),X1,sF2)
| ~ c_in(X0,sF0,sF2)
| ~ c_in(X1,v_Y,sF2)
| ~ c_lessequals(c_Zorn_OTFin(v_S,t_a),sF0,sF3)
| c_lessequals(X2,X1,sF2)
| ~ c_in(X1,c_Zorn_OTFin(v_S,t_a),sF2)
| ~ c_in(X2,c_Zorn_OTFin(v_S,t_a),sF2)
| c_lessequals(c_Zorn_Osucc(v_S,X1,t_a),X2,sF2) ),
inference(forward_subsumption_resolution,[],[f556,f134]) ).
fof(f558,plain,
! [X2,X0,X1] :
( c_lessequals(X0,X1,sF2)
| c_lessequals(c_Zorn_Osucc(v_S,X1,t_a),X0,sF2)
| ~ c_in(X0,sF0,sF2)
| ~ c_in(X1,v_Y,sF2)
| ~ c_lessequals(c_Zorn_OTFin(v_S,t_a),sF0,sF3)
| c_lessequals(X2,X1,sF2)
| ~ c_in(X1,c_Zorn_OTFin(v_S,t_a),sF2)
| ~ c_in(X2,c_Zorn_OTFin(v_S,t_a),sF2)
| c_lessequals(c_Zorn_Osucc(v_S,X1,t_a),X2,sF2) ),
inference(forward_subsumption_resolution,[],[f557,f202]) ).
fof(f559,plain,
! [X2,X0,X1] :
( ~ c_lessequals(sF0,sF0,sF3)
| c_lessequals(X0,X1,sF2)
| c_lessequals(c_Zorn_Osucc(v_S,X1,t_a),X0,sF2)
| ~ c_in(X0,sF0,sF2)
| ~ c_in(X1,v_Y,sF2)
| c_lessequals(X2,X1,sF2)
| ~ c_in(X1,c_Zorn_OTFin(v_S,t_a),sF2)
| ~ c_in(X2,c_Zorn_OTFin(v_S,t_a),sF2)
| c_lessequals(c_Zorn_Osucc(v_S,X1,t_a),X2,sF2) ),
inference(forward_demodulation,[],[f558,f21]) ).
fof(f560,plain,
! [X2,X0,X1] :
( c_lessequals(X0,X1,sF2)
| c_lessequals(c_Zorn_Osucc(v_S,X1,t_a),X0,sF2)
| ~ c_in(X0,sF0,sF2)
| ~ c_in(X1,v_Y,sF2)
| c_lessequals(X2,X1,sF2)
| ~ c_in(X1,c_Zorn_OTFin(v_S,t_a),sF2)
| ~ c_in(X2,c_Zorn_OTFin(v_S,t_a),sF2)
| c_lessequals(c_Zorn_Osucc(v_S,X1,t_a),X2,sF2) ),
inference(forward_subsumption_resolution,[],[f559,f222]) ).
fof(f561,plain,
! [X2,X0,X1] :
( ~ c_in(X1,sF0,sF2)
| c_lessequals(X0,X1,sF2)
| c_lessequals(c_Zorn_Osucc(v_S,X1,t_a),X0,sF2)
| ~ c_in(X0,sF0,sF2)
| ~ c_in(X1,v_Y,sF2)
| c_lessequals(X2,X1,sF2)
| ~ c_in(X2,c_Zorn_OTFin(v_S,t_a),sF2)
| c_lessequals(c_Zorn_Osucc(v_S,X1,t_a),X2,sF2) ),
inference(forward_demodulation,[],[f560,f21]) ).
fof(f562,plain,
! [X2,X0,X1] :
( c_lessequals(c_Zorn_Osucc(v_S,X1,t_a),X2,sF2)
| ~ c_in(X1,sF0,sF2)
| c_lessequals(X0,X1,sF2)
| c_lessequals(c_Zorn_Osucc(v_S,X1,t_a),X0,sF2)
| ~ c_in(X0,sF0,sF2)
| ~ c_in(X1,v_Y,sF2)
| c_lessequals(X2,X1,sF2)
| ~ c_in(X2,sF0,sF2) ),
inference(forward_demodulation,[],[f561,f21]) ).
fof(f575,plain,
! [X0,X1] :
( c_lessequals(c_Zorn_Osucc(v_S,X0,t_a),X1,sF2)
| ~ c_in(X0,sF0,sF2)
| c_lessequals(X1,X0,sF2)
| ~ c_in(X1,sF0,sF2)
| ~ c_in(X0,v_Y,sF2)
| c_lessequals(X1,X0,sF2)
| ~ c_in(X1,sF0,sF2) ),
inference(factoring,[],[f562]) ).
fof(f577,plain,
! [X0,X1] :
( c_lessequals(c_Zorn_Osucc(v_S,X0,t_a),X1,sF2)
| ~ c_in(X0,sF0,sF2)
| c_lessequals(X1,X0,sF2)
| ~ c_in(X1,sF0,sF2)
| ~ c_in(X0,v_Y,sF2) ),
inference(duplicate_literal_removal,[],[f575]) ).
fof(f747,plain,
! [X2,X3,X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,X1,sF1),X2,sF1)
| c_lessequals(X0,X1,sF2)
| ~ c_lessequals(c_Zorn_Osucc(X3,X2,t_a),X1,sF2) ),
inference(resolution,[],[f273,f228]) ).
fof(f754,plain,
! [X2,X0,X1] :
( c_lessequals(X0,X1,sF2)
| ~ c_lessequals(c_Zorn_Osucc(X2,X0,t_a),X1,sF2)
| c_lessequals(X0,X1,tc_set(sF1)) ),
inference(resolution,[],[f747,f4]) ).
fof(f758,plain,
! [X2,X0,X1] :
( c_lessequals(X0,X1,sF2)
| c_lessequals(X0,X1,sF2)
| ~ c_lessequals(c_Zorn_Osucc(X2,X0,t_a),X1,sF2) ),
inference(forward_demodulation,[],[f754,f25]) ).
fof(f759,plain,
! [X2,X0,X1] :
( ~ c_lessequals(c_Zorn_Osucc(X2,X0,t_a),X1,sF2)
| c_lessequals(X0,X1,sF2) ),
inference(duplicate_literal_removal,[],[f758]) ).
fof(f760,plain,
! [X0,X1] :
( ~ c_in(X1,sF0,sF2)
| ~ c_in(X0,sF0,sF2)
| c_lessequals(X1,X0,sF2)
| c_lessequals(X0,X1,sF2)
| ~ c_in(X0,v_Y,sF2) ),
inference(resolution,[],[f759,f577]) ).
fof(f809,plain,
! [X0] :
( ~ c_in(X0,sF0,sF2)
| c_lessequals(v_x,X0,sF2)
| c_lessequals(X0,v_x,sF2)
| ~ c_in(X0,v_Y,sF2) ),
inference(resolution,[],[f760,f29]) ).
fof(f811,plain,
! [X0,X1] :
( ~ c_in(X0,v_Y,sF2)
| c_lessequals(X0,v_x,sF2)
| c_lessequals(v_x,X0,sF2)
| ~ c_in(X0,X1,sF2)
| ~ c_lessequals(X1,sF0,sF3) ),
inference(resolution,[],[f809,f52]) ).
fof(f820,plain,
! [X2,X0,X1] :
( c_lessequals(c_Zorn_OUnion__lemma0__1(X0,X1,v_Y,sF1),v_x,sF2)
| c_lessequals(v_x,c_Zorn_OUnion__lemma0__1(X0,X1,v_Y,sF1),sF2)
| ~ c_in(c_Zorn_OUnion__lemma0__1(X0,X1,v_Y,sF1),X2,sF2)
| ~ c_lessequals(X2,sF0,sF3)
| c_lessequals(X1,c_Union(v_Y,sF1),sF2)
| c_lessequals(c_Union(v_Y,sF1),X0,sF2) ),
inference(resolution,[],[f811,f106]) ).
fof(f821,plain,
! [X2,X0,X1] :
( c_lessequals(X1,sF4,sF2)
| c_lessequals(c_Zorn_OUnion__lemma0__1(X0,X1,v_Y,sF1),v_x,sF2)
| c_lessequals(v_x,c_Zorn_OUnion__lemma0__1(X0,X1,v_Y,sF1),sF2)
| ~ c_in(c_Zorn_OUnion__lemma0__1(X0,X1,v_Y,sF1),X2,sF2)
| ~ c_lessequals(X2,sF0,sF3)
| c_lessequals(c_Union(v_Y,sF1),X0,sF2) ),
inference(forward_demodulation,[],[f820,f31]) ).
fof(f823,plain,
! [X2,X0,X1] :
( ~ c_in(c_Zorn_OUnion__lemma0__1(X0,X1,v_Y,sF1),X2,sF2)
| c_lessequals(X1,sF4,sF2)
| c_lessequals(c_Zorn_OUnion__lemma0__1(X0,X1,v_Y,sF1),v_x,sF2)
| c_lessequals(v_x,c_Zorn_OUnion__lemma0__1(X0,X1,v_Y,sF1),sF2)
| c_lessequals(sF4,X0,sF2)
| ~ c_lessequals(X2,sF0,sF3) ),
inference(forward_demodulation,[],[f821,f31]) ).
fof(f824,plain,
! [X0,X1] :
( c_lessequals(X0,sF4,sF2)
| c_lessequals(c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,sF1),v_x,sF2)
| c_lessequals(v_x,c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,sF1),sF2)
| c_lessequals(sF4,X1,sF2)
| ~ c_lessequals(v_Y,sF0,sF3)
| c_lessequals(X0,c_Union(v_Y,sF1),sF2)
| c_lessequals(c_Union(v_Y,sF1),X1,sF2) ),
inference(resolution,[],[f823,f106]) ).
fof(f827,plain,
! [X0,X1] :
( c_lessequals(X0,sF4,sF2)
| c_lessequals(c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,sF1),v_x,sF2)
| c_lessequals(v_x,c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,sF1),sF2)
| c_lessequals(sF4,X1,sF2)
| c_lessequals(X0,c_Union(v_Y,sF1),sF2)
| c_lessequals(c_Union(v_Y,sF1),X1,sF2) ),
inference(forward_subsumption_resolution,[],[f824,f28]) ).
fof(f828,plain,
! [X0,X1] :
( c_lessequals(X0,sF4,sF2)
| c_lessequals(X0,sF4,sF2)
| c_lessequals(c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,sF1),v_x,sF2)
| c_lessequals(v_x,c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,sF1),sF2)
| c_lessequals(sF4,X1,sF2)
| c_lessequals(c_Union(v_Y,sF1),X1,sF2) ),
inference(forward_demodulation,[],[f827,f31]) ).
fof(f829,plain,
! [X0,X1] :
( c_lessequals(X0,sF4,sF2)
| c_lessequals(c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,sF1),v_x,sF2)
| c_lessequals(v_x,c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,sF1),sF2)
| c_lessequals(sF4,X1,sF2)
| c_lessequals(c_Union(v_Y,sF1),X1,sF2) ),
inference(duplicate_literal_removal,[],[f828]) ).
fof(f830,plain,
! [X0,X1] :
( c_lessequals(sF4,X1,sF2)
| c_lessequals(X0,sF4,sF2)
| c_lessequals(c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,sF1),v_x,sF2)
| c_lessequals(v_x,c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,sF1),sF2)
| c_lessequals(sF4,X1,sF2) ),
inference(forward_demodulation,[],[f829,f31]) ).
fof(f831,plain,
! [X0,X1] :
( c_lessequals(v_x,c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,sF1),sF2)
| c_lessequals(X0,sF4,sF2)
| c_lessequals(c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,sF1),v_x,sF2)
| c_lessequals(sF4,X1,sF2) ),
inference(duplicate_literal_removal,[],[f830]) ).
fof(f832,plain,
! [X0] :
( c_lessequals(sF5,sF4,sF2)
| c_lessequals(c_Zorn_OUnion__lemma0__1(X0,sF5,v_Y,sF1),v_x,sF2)
| c_lessequals(sF4,X0,sF2)
| v_x = c_Zorn_OUnion__lemma0__1(X0,sF5,v_Y,sF1)
| c_lessequals(sF4,X0,sF2) ),
inference(resolution,[],[f831,f296]) ).
fof(f844,plain,
! [X0] :
( c_lessequals(sF5,sF4,sF2)
| c_lessequals(c_Zorn_OUnion__lemma0__1(X0,sF5,v_Y,sF1),v_x,sF2)
| c_lessequals(sF4,X0,sF2)
| v_x = c_Zorn_OUnion__lemma0__1(X0,sF5,v_Y,sF1) ),
inference(duplicate_literal_removal,[],[f832]) ).
fof(f846,plain,
! [X0] :
( c_lessequals(c_Zorn_OUnion__lemma0__1(X0,sF5,v_Y,sF1),v_x,sF2)
| c_lessequals(sF4,X0,sF2)
| v_x = c_Zorn_OUnion__lemma0__1(X0,sF5,v_Y,sF1) ),
inference(forward_subsumption_resolution,[],[f844,f36]) ).
fof(f848,plain,
( c_lessequals(sF4,v_x,sF2)
| v_x = c_Zorn_OUnion__lemma0__1(v_x,sF5,v_Y,sF1)
| c_lessequals(sF5,c_Union(v_Y,sF1),sF2)
| c_lessequals(c_Union(v_Y,sF1),v_x,sF2) ),
inference(resolution,[],[f846,f152]) ).
fof(f852,plain,
( v_x = c_Zorn_OUnion__lemma0__1(v_x,sF5,v_Y,sF1)
| c_lessequals(sF5,c_Union(v_Y,sF1),sF2)
| c_lessequals(c_Union(v_Y,sF1),v_x,sF2) ),
inference(forward_subsumption_resolution,[],[f848,f92]) ).
fof(f853,plain,
( c_lessequals(sF5,sF4,sF2)
| v_x = c_Zorn_OUnion__lemma0__1(v_x,sF5,v_Y,sF1)
| c_lessequals(c_Union(v_Y,sF1),v_x,sF2) ),
inference(forward_demodulation,[],[f852,f31]) ).
fof(f854,plain,
( v_x = c_Zorn_OUnion__lemma0__1(v_x,sF5,v_Y,sF1)
| c_lessequals(c_Union(v_Y,sF1),v_x,sF2) ),
inference(forward_subsumption_resolution,[],[f853,f36]) ).
fof(f855,plain,
( c_lessequals(sF4,v_x,sF2)
| v_x = c_Zorn_OUnion__lemma0__1(v_x,sF5,v_Y,sF1) ),
inference(forward_demodulation,[],[f854,f31]) ).
fof(f856,plain,
v_x = c_Zorn_OUnion__lemma0__1(v_x,sF5,v_Y,sF1),
inference(forward_subsumption_resolution,[],[f855,f92]) ).
fof(f860,plain,
( ~ c_lessequals(v_x,v_x,sF2)
| c_lessequals(sF5,c_Union(v_Y,sF1),sF2)
| c_lessequals(c_Union(v_Y,sF1),v_x,sF2) ),
inference(superposition,[],[f152,f856]) ).
fof(f871,plain,
( c_lessequals(sF5,c_Union(v_Y,sF1),sF2)
| c_lessequals(c_Union(v_Y,sF1),v_x,sF2) ),
inference(forward_subsumption_resolution,[],[f860,f221]) ).
fof(f875,plain,
( c_lessequals(sF5,sF4,sF2)
| c_lessequals(c_Union(v_Y,sF1),v_x,sF2) ),
inference(forward_demodulation,[],[f871,f31]) ).
fof(f879,plain,
c_lessequals(c_Union(v_Y,sF1),v_x,sF2),
inference(forward_subsumption_resolution,[],[f875,f36]) ).
fof(f883,plain,
c_lessequals(sF4,v_x,sF2),
inference(forward_demodulation,[],[f879,f31]) ).
fof(f888,plain,
$false,
inference(forward_subsumption_resolution,[],[f883,f92]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET854-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.35 % Computer : n005.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8046.5625MB
% 0.11/0.35 % OS : Linux 6.8.0-71-generic
% 0.11/0.35 % CPULimit : 300
% 0.11/0.35 % WCLimit : 300
% 0.11/0.35 % DateTime : Mon Sep 28 03:01:17 UTC 2026
% 0.11/0.35 % CPUTime :
% 0.11/0.35 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.38 Running first-order theorem proving
% 0.14/0.38 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.67/1.96 % (389859)Input is clausal, will run a generic CNF schedule.
% 6.67/1.96 % (389868)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=230537631:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.67/1.96 % (389864)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=915727317:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.67/1.96 % (389867)lrs+10_1_sil=8000:sp=occurrence:random_seed=3854612892:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.67/1.96 % (389865)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2134834011:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.67/1.96 % (389866)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2447826629:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.67/1.96 % (389868)Instruction limit reached!
% 6.67/1.96 % (389868)------------------------------
% 6.67/1.96 % (389868)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.96 % (389868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.96 % (389868)CaDiCaL version: 2.1.3
% 6.67/1.96 % (389868)Termination reason: Instruction limit
% 6.67/1.96 % (389868)Termination phase: Saturation
% 6.67/1.96 % (389868)Time elapsed: 0.040 s
% 6.67/1.96 % (389868)Peak memory usage: 88 MB
% 6.67/1.96 % (389868)Instructions burned: 116 (million)
% 6.67/1.96 % (389869)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3129013692:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.67/1.96 % (389870)dis-21_1_sil=8000:lcm=predicate:random_seed=1069542206:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 6.67/1.96 % (389867)Instruction limit reached!
% 6.67/1.96 % (389867)------------------------------
% 6.67/1.96 % (389867)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.96 % (389867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.96 % (389867)CaDiCaL version: 2.1.3
% 6.67/1.96 % (389867)Termination reason: Instruction limit
% 6.67/1.96 % (389867)Termination phase: Saturation
% 6.67/1.96 % (389867)Time elapsed: 0.068 s
% 6.67/1.96 % (389867)Peak memory usage: 89 MB
% 6.67/1.96 % (389867)Instructions burned: 107 (million)
% 6.67/1.96 % (389870)Instruction limit reached!
% 6.67/1.96 % (389870)------------------------------
% 6.67/1.96 % (389870)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.96 % (389870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.96 % (389870)CaDiCaL version: 2.1.3
% 6.67/1.96 % (389870)Termination reason: Instruction limit
% 6.67/1.96 % (389870)Termination phase: Saturation
% 6.67/1.96 % (389870)Time elapsed: 0.058 s
% 6.67/1.96 % (389870)Peak memory usage: 88 MB
% 6.67/1.96 % (389870)Instructions burned: 118 (million)
% 6.67/1.96 % (389877)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=1309805554:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 6.67/1.96 % (389869)Instruction limit reached!
% 6.67/1.96 % (389869)------------------------------
% 6.67/1.96 % (389869)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.96 % (389869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.96 % (389869)CaDiCaL version: 2.1.3
% 6.67/1.96 % (389869)Termination reason: Instruction limit
% 6.67/1.96 % (389869)Termination phase: Saturation
% 6.67/1.96 % (389869)Time elapsed: 0.125 s
% 6.67/1.96 % (389869)Peak memory usage: 89 MB
% 6.67/1.96 % (389869)Instructions burned: 181 (million)
% 6.67/1.96 % (389877)Instruction limit reached!
% 6.67/1.96 % (389877)------------------------------
% 6.67/1.96 % (389877)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.96 % (389877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.96 % (389877)CaDiCaL version: 2.1.3
% 6.67/1.96 % (389877)Termination reason: Instruction limit
% 6.67/1.96 % (389877)Termination phase: Saturation
% 6.67/1.96 % (389877)Time elapsed: 0.046 s
% 6.67/1.96 % (389877)Peak memory usage: 88 MB
% 6.67/1.96 % (389877)Instructions burned: 143 (million)
% 6.67/1.96 % (389879)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=4381094:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 6.67/2.02 % (389880)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2201323024:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 6.67/2.02 % (389882)lrs+10_64_to=lpo:sil=8000:random_seed=947723802:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 6.67/2.02 % (389882)Instruction limit reached!
% 6.67/2.02 % (389882)------------------------------
% 6.67/2.02 % (389882)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/2.02 % (389882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/2.02 % (389882)CaDiCaL version: 2.1.3
% 6.67/2.02 % (389882)Termination reason: Instruction limit
% 6.67/2.02 % (389882)Termination phase: Saturation
% 6.67/2.02 % (389882)Time elapsed: 0.032 s
% 6.67/2.02 % (389882)Peak memory usage: 88 MB
% 6.67/2.02 % (389882)Instructions burned: 126 (million)
% 6.67/2.02 % (389879)Instruction limit reached!
% 6.67/2.02 % (389879)------------------------------
% 6.67/2.02 % (389879)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/2.02 % (389879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/2.02 % (389879)CaDiCaL version: 2.1.3
% 6.67/2.02 % (389879)Termination reason: Instruction limit
% 6.67/2.02 % (389879)Termination phase: Saturation
% 6.67/2.02 % (389879)Time elapsed: 0.081 s
% 6.67/2.02 % (389879)Peak memory usage: 88 MB
% 6.67/2.02 % (389879)Instructions burned: 191 (million)
% 6.67/2.02 % (389883)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1817735466:avsq=on:i=194:fgj=on:bd=preordered_2997 on theBenchmark for (2997ds/194Mi)
% 6.67/2.02 % (389887)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3496069564:i=157:gtg=all_2996 on theBenchmark for (2996ds/157Mi)
% 6.67/2.02 % (389880)Instruction limit reached!
% 6.67/2.02 % (389880)------------------------------
% 6.67/2.02 % (389880)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/2.02 % (389880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/2.02 % (389880)CaDiCaL version: 2.1.3
% 6.67/2.02 % (389880)Termination reason: Instruction limit
% 6.67/2.02 % (389880)Termination phase: Saturation
% 6.67/2.02 % (389880)Time elapsed: 0.128 s
% 6.67/2.02 % (389880)Peak memory usage: 89 MB
% 6.67/2.02 % (389880)Instructions burned: 221 (million)
% 6.67/2.02 % (389883)Instruction limit reached!
% 6.67/2.02 % (389883)------------------------------
% 6.67/2.02 % (389883)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/2.02 % (389883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/2.02 % (389883)CaDiCaL version: 2.1.3
% 6.67/2.02 % (389883)Termination reason: Instruction limit
% 6.67/2.02 % (389883)Termination phase: Saturation
% 6.67/2.02 % (389883)Time elapsed: 0.075 s
% 6.67/2.02 % (389883)Peak memory usage: 88 MB
% 6.67/2.02 % (389883)Instructions burned: 195 (million)
% 6.67/2.02 % (389887)Instruction limit reached!
% 6.67/2.02 % (389887)------------------------------
% 6.67/2.02 % (389887)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/2.02 % (389887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/2.02 % (389887)CaDiCaL version: 2.1.3
% 6.67/2.02 % (389887)Termination reason: Instruction limit
% 6.67/2.02 % (389887)Termination phase: Saturation
% 6.67/2.02 % (389887)Time elapsed: 0.053 s
% 6.67/2.02 % (389887)Peak memory usage: 89 MB
% 6.67/2.02 % (389887)Instructions burned: 159 (million)
% 6.67/2.02 % (389889)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3694445671:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 6.67/2.02 % (389892)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2048753799:i=107_2995 on theBenchmark for (2995ds/107Mi)
% 6.67/2.02 % (389891)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=1712892964:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2995 on theBenchmark for (2995ds/106Mi)
% 6.67/2.02 % (389893)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1479077938:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2994 on theBenchmark for (2994ds/242Mi)
% 6.67/2.02 % (389891)Instruction limit reached!
% 6.67/2.02 % (389891)------------------------------
% 6.67/2.02 % (389891)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/2.02 % (389891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/2.02 % (389891)CaDiCaL version: 2.1.3
% 6.67/2.02 % (389891)Termination reason: Instruction limit
% 6.67/2.02 % (389891)Termination phase: Saturation
% 6.67/2.02 % (389891)Time elapsed: 0.059 s
% 6.67/2.02 % (389891)Peak memory usage: 88 MB
% 6.67/2.02 % (389891)Instructions burned: 106 (million)
% 6.67/2.02 % (389892)Instruction limit reached!
% 6.67/2.02 % (389892)------------------------------
% 6.67/2.02 % (389892)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/2.02 % (389892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/2.02 % (389892)CaDiCaL version: 2.1.3
% 6.67/2.02 % (389892)Termination reason: Instruction limit
% 6.67/2.02 % (389892)Termination phase: Saturation
% 6.67/2.02 % (389892)Time elapsed: 0.066 s
% 6.67/2.02 % (389892)Peak memory usage: 89 MB
% 6.67/2.02 % (389892)Instructions burned: 107 (million)
% 6.67/2.02 % (389893)Instruction limit reached!
% 6.67/2.02 % (389893)------------------------------
% 6.67/2.02 % (389893)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/2.02 % (389893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/2.02 % (389893)CaDiCaL version: 2.1.3
% 6.67/2.02 % (389893)Termination reason: Instruction limit
% 6.67/2.02 % (389893)Termination phase: Saturation
% 6.67/2.02 % (389893)Time elapsed: 0.081 s
% 6.67/2.02 % (389893)Peak memory usage: 89 MB
% 6.67/2.02 % (389893)Instructions burned: 243 (million)
% 6.67/2.02 % (389899)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1041571501:i=134:sd=2:doe=on:ss=axioms:sgt=14_2993 on theBenchmark for (2993ds/134Mi)
% 6.67/2.02 % (389898)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=4245370526:cond=fast:i=5208:av=off_2993 on theBenchmark for (2993ds/5208Mi)
% 6.67/2.02 % (389900)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=2901068807:i=499:bd=all_2992 on theBenchmark for (2992ds/499Mi)
% 6.67/2.02 % (389899)Instruction limit reached!
% 6.67/2.02 % (389899)------------------------------
% 6.67/2.03 % (389899)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/2.03 % (389899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/2.03 % (389899)CaDiCaL version: 2.1.3
% 6.67/2.03 % (389899)Termination reason: Instruction limit
% 6.67/2.03 % (389899)Termination phase: Saturation
% 6.67/2.03 % (389899)Time elapsed: 0.087 s
% 6.67/2.03 % (389899)Peak memory usage: 89 MB
% 6.67/2.03 % (389899)Instructions burned: 135 (million)
% 6.67/2.03 % (389866)First to succeed.
% 6.67/2.03 % (389866)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-389859"
% 6.67/2.03 % (389900)Instruction limit reached!
% 6.67/2.03 % (389900)------------------------------
% 6.67/2.03 % (389900)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/2.03 % (389900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/2.03 % (389900)CaDiCaL version: 2.1.3
% 6.67/2.03 % (389900)Termination reason: Instruction limit
% 6.67/2.03 % (389900)Termination phase: Saturation
% 6.67/2.03 % (389900)Time elapsed: 0.149 s
% 6.67/2.03 % (389900)Peak memory usage: 90 MB
% 6.67/2.03 % (389900)Instructions burned: 501 (million)
% 6.67/2.03 % (389904)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2846650770:i=191:fgj=on:bd=all_2991 on theBenchmark for (2991ds/191Mi)
% 6.67/2.03 % (389905)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3801410024:i=264:kws=precedence:fsr=off_2990 on theBenchmark for (2990ds/264Mi)
% 6.67/2.03 % (389905)Instruction limit reached!
% 6.67/2.03 % (389905)------------------------------
% 6.67/2.03 % (389905)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/2.03 % (389905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/2.03 % (389905)CaDiCaL version: 2.1.3
% 6.67/2.03 % (389905)Termination reason: Instruction limit
% 6.67/2.03 % (389905)Termination phase: Saturation
% 6.67/2.03 % (389905)Time elapsed: 0.068 s
% 6.67/2.03 % (389905)Peak memory usage: 89 MB
% 6.67/2.03 % (389905)Instructions burned: 267 (million)
% 6.67/2.03 % (389904)Instruction limit reached!
% 6.67/2.03 % (389904)------------------------------
% 6.67/2.03 % (389904)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/2.03 % (389904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/2.03 % (389904)CaDiCaL version: 2.1.3
% 6.67/2.03 % (389904)Termination reason: Instruction limit
% 6.67/2.03 % (389904)Termination phase: Saturation
% 6.67/2.03 % (389904)Time elapsed: 0.116 s
% 6.67/2.03 % (389904)Peak memory usage: 89 MB
% 6.67/2.03 % (389904)Instructions burned: 191 (million)
% 6.67/2.03 % (389866)Refutation found. Thanks to Tanya!
% 6.67/2.03 % SZS status Unsatisfiable for theBenchmark
% 6.67/2.03 % SZS output start Proof for theBenchmark
% See solution above
% 9.11/2.21 % (389866)------------------------------
% 9.11/2.21 % (389866)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.11/2.21 % (389866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.11/2.21 % (389866)CaDiCaL version: 2.1.3
% 9.11/2.21 % (389866)Termination reason: Refutation
% 9.11/2.21 % (389866)Time elapsed: 0.799 s
% 9.11/2.21 % (389866)Peak memory usage: 130 MB
% 9.11/2.21 % (389866)Instructions burned: 1170 (million)
% 9.11/2.21 % (389866)------------------------------
% 9.11/2.21 % (389866)------------------------------
% 9.11/2.21 % (389859)Success in time 1.204 s
% 9.11/2.21 % Vampire exiting
%------------------------------------------------------------------------------