%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL331-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:52:00 AM UTC 2026
% Result : Unsatisfiable 20.20s 3.87s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 15
% Syntax : Number of formulae : 93 ( 41 unt; 4 def)
% Number of atoms : 161 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 137 ( 69 ~; 64 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 148 ( 0 sgn 148 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : axiom(implies(or(X0,X0),X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_2) ).
fof(f2,axiom,
! [X0,X1] : axiom(implies(X0,or(X1,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_3) ).
fof(f3,axiom,
! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_4) ).
fof(f4,axiom,
! [X2,X0,X1] : axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_5) ).
fof(f5,axiom,
! [X2,X0,X1] : axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_6) ).
fof(f6,axiom,
! [X0,X1] : implies(X0,X1) = or(not(X0),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',implies_definition) ).
fof(f7,axiom,
! [X0] :
( ~ axiom(X0)
| theorem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_1) ).
fof(f8,axiom,
! [X0,X1] :
( theorem(X0)
| ~ theorem(implies(X1,X0))
| ~ theorem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_2) ).
fof(f9,axiom,
! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_defn) ).
fof(f10,axiom,
! [X0,X1] : equivalent(X0,X1) = and(implies(X0,X1),implies(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equivalent_defn) ).
fof(f11,negated_conjecture,
~ theorem(equivalent(implies(and(p,q),r),implies(and(p,q),and(p,r)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f12,plain,
! [X0,X1] : equivalent(X0,X1) = not(or(not(or(not(X0),X1)),not(or(not(X1),X0)))),
inference(definition_unfolding,[],[f10,f9,f6,f6]) ).
fof(f13,plain,
~ theorem(not(or(not(or(not(or(not(not(or(not(p),not(q)))),r)),or(not(not(or(not(p),not(q)))),not(or(not(p),not(r)))))),not(or(not(or(not(not(or(not(p),not(q)))),not(or(not(p),not(r))))),or(not(not(or(not(p),not(q)))),r)))))),
inference(definition_unfolding,[],[f11,f12,f6,f9,f6,f9,f9]) ).
fof(f14,plain,
! [X0,X1] :
( ~ theorem(or(not(X1),X0))
| theorem(X0)
| ~ theorem(X1) ),
inference(definition_unfolding,[],[f8,f6]) ).
fof(f15,plain,
! [X2,X0,X1] : axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(definition_unfolding,[],[f5,f6,f6,f6]) ).
fof(f16,plain,
! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(definition_unfolding,[],[f4,f6]) ).
fof(f17,plain,
! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
inference(definition_unfolding,[],[f3,f6]) ).
fof(f18,plain,
! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
inference(definition_unfolding,[],[f2,f6]) ).
fof(f19,plain,
! [X0] : axiom(or(not(or(X0,X0)),X0)),
inference(definition_unfolding,[],[f1,f6]) ).
fof(f20,plain,
! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(resolution,[],[f17,f7]) ).
fof(f21,plain,
! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(resolution,[],[f15,f7]) ).
fof(f22,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(resolution,[],[f16,f7]) ).
fof(f23,plain,
! [X0,X1] : theorem(or(not(X0),or(X1,X0))),
inference(resolution,[],[f18,f7]) ).
fof(f24,plain,
! [X0] : theorem(or(not(or(X0,X0)),X0)),
inference(resolution,[],[f19,f7]) ).
fof(f25,plain,
! [X0,X1] :
( ~ theorem(or(X1,X0))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f14,f20]) ).
fof(f26,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,X2)))
| ~ theorem(or(not(X1),X2)) ),
inference(resolution,[],[f21,f14]) ).
fof(f28,plain,
! [X2,X0,X1] :
( ~ theorem(or(X1,or(X0,X2)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f22,f14]) ).
fof(f29,plain,
! [X0,X1] : theorem(or(X0,or(not(or(X1,X0)),X1))),
inference(resolution,[],[f28,f20]) ).
fof(f32,plain,
! [X0,X1] : theorem(or(X0,or(not(X1),X1))),
inference(resolution,[],[f28,f23]) ).
fof(f33,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X2,X0)) ),
inference(resolution,[],[f26,f14]) ).
fof(f49,plain,
! [X2,X0,X1] :
( ~ theorem(or(X0,or(X2,X1)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f33,f20]) ).
fof(f50,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X1,X3)))
| theorem(or(X0,or(X1,X2)))
| ~ theorem(or(not(X3),X2)) ),
inference(resolution,[],[f33,f26]) ).
fof(f52,plain,
! [X2,X3,X0,X1] :
( theorem(or(X0,or(not(or(X1,X2)),or(X1,X3))))
| ~ theorem(or(X0,or(not(X2),X3))) ),
inference(resolution,[],[f33,f21]) ).
fof(f54,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X2,or(X1,X3))))
| theorem(or(X0,or(X1,or(X2,X3)))) ),
inference(resolution,[],[f33,f22]) ).
fof(f56,plain,
! [X0,X1] :
( ~ theorem(or(X0,or(X1,X1)))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f33,f24]) ).
fof(f57,plain,
! [X0,X1] : theorem(or(not(or(X0,X1)),or(X0,X1))),
inference(resolution,[],[f49,f20]) ).
fof(f63,plain,
! [X0,X1] : theorem(or(not(X0),or(X0,X1))),
inference(resolution,[],[f49,f23]) ).
fof(f68,plain,
! [X0,X1] : theorem(or(X0,or(not(X0),X1))),
inference(resolution,[],[f63,f28]) ).
fof(f75,plain,
! [X0] : theorem(or(not(X0),X0)),
inference(resolution,[],[f56,f63]) ).
fof(f82,plain,
! [X0] : theorem(or(X0,not(X0))),
inference(resolution,[],[f75,f25]) ).
fof(f88,plain,
! [X0,X1] : theorem(or(X0,or(X1,not(or(X1,X0))))),
inference(resolution,[],[f29,f49]) ).
fof(f92,plain,
! [X0,X1] :
( theorem(or(X0,not(or(X0,not(X1)))))
| ~ theorem(X1) ),
inference(resolution,[],[f88,f14]) ).
fof(f96,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X1,X2)))
| ~ theorem(or(not(X0),X2)) ),
inference(resolution,[],[f50,f20]) ).
fof(f99,plain,
! [X2,X3,X0,X1] :
( theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),X3)))
| ~ theorem(or(not(or(X2,X1)),X3)) ),
inference(resolution,[],[f50,f21]) ).
fof(f109,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(not(or(X0,X1)),X2))
| theorem(or(not(or(X0,X3)),X2))
| ~ theorem(or(not(X3),X1)) ),
inference(resolution,[],[f99,f14]) ).
fof(f130,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X0,X2)) ),
inference(resolution,[],[f96,f14]) ).
fof(f135,plain,
! [X0,X1] :
( theorem(or(not(or(X0,X1)),X1))
| ~ theorem(or(not(X0),X1)) ),
inference(resolution,[],[f96,f56]) ).
fof(f139,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X2)),X1))
| ~ theorem(or(not(X0),X1))
| ~ theorem(or(not(X2),X1)) ),
inference(resolution,[],[f135,f109]) ).
fof(f168,plain,
! [X0,X1] : theorem(or(X0,or(X1,not(X0)))),
inference(resolution,[],[f68,f49]) ).
fof(f205,plain,
! [X0,X1] : theorem(or(X0,or(X1,not(X1)))),
inference(resolution,[],[f32,f49]) ).
fof(f253,plain,
! [X2,X0,X1] : theorem(or(not(X0),or(X1,or(X0,X2)))),
inference(resolution,[],[f54,f63]) ).
fof(f274,plain,
! [X0,X1] :
( theorem(not(or(not(X1),not(X0))))
| ~ theorem(X0)
| ~ theorem(X1) ),
inference(resolution,[],[f92,f14]) ).
fof(f278,plain,
( ~ theorem(or(not(or(not(not(or(not(p),not(q)))),not(or(not(p),not(r))))),or(not(not(or(not(p),not(q)))),r)))
| ~ theorem(or(not(or(not(not(or(not(p),not(q)))),r)),or(not(not(or(not(p),not(q)))),not(or(not(p),not(r)))))) ),
inference(resolution,[],[f274,f13]) ).
fof(f280,definition,
( spl0_1
<=> theorem(or(not(or(not(not(or(not(p),not(q)))),r)),or(not(not(or(not(p),not(q)))),not(or(not(p),not(r)))))) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f282,plain,
( ~ theorem(or(not(or(not(not(or(not(p),not(q)))),r)),or(not(not(or(not(p),not(q)))),not(or(not(p),not(r))))))
| spl0_1 ),
inference(avatar_component_clause,[],[f280]) ).
fof(f284,definition,
( spl0_2
<=> theorem(or(not(or(not(not(or(not(p),not(q)))),not(or(not(p),not(r))))),or(not(not(or(not(p),not(q)))),r))) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f286,plain,
( ~ theorem(or(not(or(not(not(or(not(p),not(q)))),not(or(not(p),not(r))))),or(not(not(or(not(p),not(q)))),r)))
| spl0_2 ),
inference(avatar_component_clause,[],[f284]) ).
fof(f287,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f278,f284,f280]) ).
fof(f318,plain,
! [X0,X1] : theorem(or(or(X0,not(X1)),X1)),
inference(resolution,[],[f168,f25]) ).
fof(f332,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(not(X0),or(not(X1),X2)))
| theorem(or(not(or(X3,X1)),or(X3,X2)))
| ~ theorem(X0) ),
inference(resolution,[],[f52,f14]) ).
fof(f364,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,not(not(X1)))))
| ~ theorem(X2) ),
inference(resolution,[],[f332,f205]) ).
fof(f370,definition,
( spl0_3
<=> ! [X2] : ~ theorem(X2) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f371,plain,
( ! [X2] : ~ theorem(X2)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f370]) ).
fof(f373,definition,
( spl0_4
<=> ! [X0,X1] : theorem(or(not(or(X0,X1)),or(X0,not(not(X1))))) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f374,plain,
( ! [X0,X1] : theorem(or(not(or(X0,X1)),or(X0,not(not(X1)))))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f373]) ).
fof(f375,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f364,f373,f370]) ).
fof(f377,plain,
( $false
| ~ spl0_3 ),
inference(resolution,[],[f371,f57]) ).
fof(f426,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f377]) ).
fof(f428,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,not(not(X2)))))
| ~ theorem(or(X0,or(X1,X2))) )
| ~ spl0_4 ),
inference(resolution,[],[f374,f33]) ).
fof(f468,plain,
! [X0,X1] :
( theorem(or(X0,not(not(X1))))
| ~ theorem(or(X1,X0)) ),
inference(resolution,[],[f130,f82]) ).
fof(f587,plain,
! [X0,X1] :
( theorem(or(not(not(X0)),X1))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f468,f25]) ).
fof(f625,plain,
! [X2,X3,X0,X1] :
( theorem(or(not(or(X0,X3)),or(X2,X1)))
| ~ theorem(or(not(X3),or(X1,X2)))
| ~ theorem(or(not(X0),or(X1,X2))) ),
inference(resolution,[],[f139,f49]) ).
fof(f626,plain,
! [X2,X3,X0,X1] :
( theorem(or(X1,or(not(or(X0,X3)),X2)))
| ~ theorem(or(not(X3),or(X1,X2)))
| ~ theorem(or(not(X0),or(X1,X2))) ),
inference(resolution,[],[f139,f28]) ).
fof(f652,plain,
( ~ theorem(or(not(r),or(not(or(not(p),not(r))),not(not(or(not(p),not(q)))))))
| ~ theorem(or(not(not(not(or(not(p),not(q))))),or(not(or(not(p),not(r))),not(not(or(not(p),not(q)))))))
| spl0_1 ),
inference(resolution,[],[f625,f282]) ).
fof(f666,plain,
( ~ theorem(or(not(r),or(not(or(not(p),not(r))),not(not(or(not(p),not(q)))))))
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f652,f23]) ).
fof(f667,plain,
( ~ theorem(or(not(not(r)),or(not(r),not(not(or(not(p),not(q)))))))
| ~ theorem(or(not(not(p)),or(not(r),not(not(or(not(p),not(q)))))))
| spl0_1 ),
inference(resolution,[],[f666,f626]) ).
fof(f671,plain,
( ~ theorem(or(not(not(p)),or(not(r),not(not(or(not(p),not(q)))))))
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f667,f63]) ).
fof(f712,plain,
( ~ theorem(or(not(not(p)),or(not(r),or(not(p),not(q)))))
| spl0_1
| ~ spl0_4 ),
inference(resolution,[],[f428,f671]) ).
fof(f726,plain,
( $false
| spl0_1
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f712,f253]) ).
fof(f727,plain,
( spl0_1
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f726]) ).
fof(f752,plain,
( ~ theorem(or(not(not(or(not(p),not(r)))),r))
| spl0_2 ),
inference(resolution,[],[f286,f26]) ).
fof(f786,plain,
( ~ theorem(or(or(not(p),not(r)),r))
| spl0_2 ),
inference(resolution,[],[f752,f587]) ).
fof(f790,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f786,f318]) ).
fof(f791,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f790]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f287]) ).
cnf(s2,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f375]) ).
cnf(s19,plain,
~ spl0_3,
inference(sat_conversion,[],[f426]) ).
cnf(s20,plain,
( spl0_1
| ~ spl0_4 ),
inference(sat_conversion,[],[f727]) ).
cnf(s24,plain,
spl0_2,
inference(sat_conversion,[],[f791]) ).
cnf(s25,plain,
spl0_4,
inference(rat,[],[s2,s19]) ).
cnf(s26,plain,
spl0_1,
inference(rat,[],[s20,s25]) ).
cnf(s27,plain,
$false,
inference(rat,[],[s1,s24,s26]) ).
fof(f792,plain,
$false,
inference(avatar_sat_refutation,[],[s27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL331-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 % Computer : n003.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Sun Sep 27 15:36:56 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.41 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.44 Running first-order theorem proving
% 0.12/0.44 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
% 17.78/3.43 % (719765)Input is clausal, will run a generic CNF schedule.
% 17.78/3.43 % (719831)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=869375313:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 17.78/3.43 % (719833)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2991117902:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 17.78/3.43 % (719836)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1461680950:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 17.78/3.43 % (719832)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1033057366:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 17.78/3.43 % (719834)lrs+10_1_sil=8000:sp=occurrence:random_seed=3369401976:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 17.78/3.43 % (719841)dis-21_1_sil=8000:lcm=predicate:random_seed=1478597379: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)
% 17.78/3.43 % (719835)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1014025027:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 17.78/3.43 % (719841)Instruction limit reached!
% 17.78/3.43 % (719841)------------------------------
% 17.78/3.43 % (719841)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.78/3.43 % (719841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.78/3.43 % (719841)CaDiCaL version: 2.1.3
% 17.78/3.43 % (719841)Termination reason: Instruction limit
% 17.78/3.43 % (719841)Termination phase: Saturation
% 17.78/3.43 % (719841)Time elapsed: 0.096 s
% 17.78/3.43 % (719841)Peak memory usage: 87 MB
% 17.78/3.43 % (719841)Instructions burned: 118 (million)
% 17.78/3.43 % (719834)Instruction limit reached!
% 17.78/3.43 % (719834)------------------------------
% 17.78/3.43 % (719834)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.78/3.43 % (719834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.78/3.43 % (719834)CaDiCaL version: 2.1.3
% 17.78/3.43 % (719834)Termination reason: Instruction limit
% 17.78/3.43 % (719834)Termination phase: Saturation
% 17.78/3.43 % (719834)Time elapsed: 0.112 s
% 17.78/3.43 % (719834)Peak memory usage: 89 MB
% 17.78/3.43 % (719834)Instructions burned: 107 (million)
% 17.78/3.43 % (719835)Instruction limit reached!
% 17.78/3.43 % (719835)------------------------------
% 17.78/3.43 % (719835)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.78/3.43 % (719835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.78/3.43 % (719835)CaDiCaL version: 2.1.3
% 17.78/3.43 % (719835)Termination reason: Instruction limit
% 17.78/3.43 % (719835)Termination phase: Saturation
% 17.78/3.43 % (719835)Time elapsed: 0.114 s
% 17.78/3.43 % (719835)Peak memory usage: 89 MB
% 17.78/3.43 % (719835)Instructions burned: 114 (million)
% 17.78/3.43 % (719836)Instruction limit reached!
% 17.78/3.43 % (719836)------------------------------
% 17.78/3.43 % (719836)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.78/3.43 % (719836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.78/3.43 % (719836)CaDiCaL version: 2.1.3
% 17.78/3.43 % (719836)Termination reason: Instruction limit
% 17.78/3.43 % (719836)Termination phase: Saturation
% 17.78/3.43 % (719836)Time elapsed: 0.118 s
% 17.78/3.43 % (719836)Peak memory usage: 89 MB
% 17.78/3.43 % (719836)Instructions burned: 180 (million)
% 17.78/3.43 % (719866)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2705659953:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 17.78/3.43 % (719866)Refutation not found, incomplete strategy
% 17.78/3.43 % (719866)------------------------------
% 17.78/3.43 % (719866)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.78/3.43 % (719866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.78/3.43 % (719866)CaDiCaL version: 2.1.3
% 17.78/3.43 % (719866)Termination reason: Refutation not found, incomplete strategy
% 17.78/3.43 % (719866)Time elapsed: 0.001 s
% 17.78/3.43 % (719866)Peak memory usage: 87 MB
% 17.78/3.43 % (719865)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1858697818:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2995 on theBenchmark for (2995ds/189Mi)
% 20.20/3.87 % (719864)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=3001463434:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 20.20/3.87 % (719867)lrs+10_64_to=lpo:sil=8000:random_seed=4279180276:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 20.20/3.87 % (719865)Refutation not found, incomplete strategy
% 20.20/3.87 % (719865)------------------------------
% 20.20/3.87 % (719865)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.20/3.87 % (719864)Refutation not found, incomplete strategy
% 20.20/3.87 % (719864)------------------------------
% 20.20/3.87 % (719864)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.20/3.87 % (719865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.20/3.87 % (719864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.20/3.87 % (719865)CaDiCaL version: 2.1.3
% 20.20/3.87 % (719865)Termination reason: Refutation not found, incomplete strategy
% 20.20/3.87 % (719865)Time elapsed: 0.002 s
% 20.20/3.87 % (719865)Peak memory usage: 87 MB
% 20.20/3.87 % (719864)CaDiCaL version: 2.1.3
% 20.20/3.87 % (719864)Termination reason: Refutation not found, incomplete strategy
% 20.20/3.87 % (719864)Time elapsed: 0.002 s
% 20.20/3.87 % (719864)Peak memory usage: 87 MB
% 20.20/3.87 % (719866)------------------------------
% 20.20/3.87 % (719866)------------------------------
% 20.20/3.87 % (719867)Instruction limit reached!
% 20.20/3.87 % (719867)------------------------------
% 20.20/3.87 % (719867)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.20/3.87 % (719867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.20/3.87 % (719867)CaDiCaL version: 2.1.3
% 20.20/3.87 % (719867)Termination reason: Instruction limit
% 20.20/3.87 % (719867)Termination phase: Saturation
% 20.20/3.87 % (719867)Time elapsed: 0.121 s
% 20.20/3.87 % (719867)Peak memory usage: 88 MB
% 20.20/3.87 % (719867)Instructions burned: 126 (million)
% 20.20/3.87 % (719876)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1901612092:avsq=on:i=194:fgj=on:bd=preordered_2992 on theBenchmark for (2992ds/194Mi)
% 20.20/3.87 % (719877)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1595627195:i=157:gtg=all_2992 on theBenchmark for (2992ds/157Mi)
% 20.20/3.87 % (719864)------------------------------
% 20.20/3.87 % (719864)------------------------------
% 20.20/3.87 % (719865)------------------------------
% 20.20/3.87 % (719865)------------------------------
% 20.20/3.87 % (719876)Instruction limit reached!
% 20.20/3.87 % (719876)------------------------------
% 20.20/3.87 % (719876)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.20/3.87 % (719876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.20/3.87 % (719876)CaDiCaL version: 2.1.3
% 20.20/3.87 % (719876)Termination reason: Instruction limit
% 20.20/3.87 % (719876)Termination phase: Saturation
% 20.20/3.87 % (719876)Time elapsed: 0.109 s
% 20.20/3.87 % (719876)Peak memory usage: 89 MB
% 20.20/3.87 % (719876)Instructions burned: 194 (million)
% 20.20/3.87 % (719877)Instruction limit reached!
% 20.20/3.87 % (719877)------------------------------
% 20.20/3.87 % (719877)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.20/3.87 % (719877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.20/3.87 % (719877)CaDiCaL version: 2.1.3
% 20.20/3.87 % (719877)Termination reason: Instruction limit
% 20.20/3.87 % (719877)Termination phase: Saturation
% 20.20/3.87 % (719877)Time elapsed: 0.165 s
% 20.20/3.87 % (719877)Peak memory usage: 91 MB
% 20.20/3.87 % (719877)Instructions burned: 158 (million)
% 20.20/3.87 % (719884)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1825906305:i=3394:sd=4:ss=included:sgt=64_2989 on theBenchmark for (2989ds/3394Mi)
% 20.20/3.87 % (719886)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2811727300:i=107_2988 on theBenchmark for (2988ds/107Mi)
% 20.20/3.87 % (719886)Refutation not found, incomplete strategy
% 20.20/3.87 % (719886)------------------------------
% 20.20/3.87 % (719886)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.20/3.87 % (719886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.20/3.87 % (719886)CaDiCaL version: 2.1.3
% 20.20/3.87 % (719886)Termination reason: Refutation not found, incomplete strategy
% 20.20/3.87 % (719886)Time elapsed: 0.001 s
% 20.20/3.87 % (719886)Peak memory usage: 87 MB
% 20.20/3.87 % (719885)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=3556306219:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2989 on theBenchmark for (2989ds/106Mi)
% 20.20/3.87 % (719885)Instruction limit reached!
% 20.20/3.87 % (719885)------------------------------
% 20.20/3.87 % (719885)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.20/3.87 % (719885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.20/3.87 % (719885)CaDiCaL version: 2.1.3
% 20.20/3.87 % (719885)Termination reason: Instruction limit
% 20.20/3.87 % (719885)Termination phase: Saturation
% 20.20/3.87 % (719885)Time elapsed: 0.092 s
% 20.20/3.87 % (719885)Peak memory usage: 88 MB
% 20.20/3.87 % (719885)Instructions burned: 106 (million)
% 20.20/3.87 % (719889)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2472648869:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2988 on theBenchmark for (2988ds/242Mi)
% 20.20/3.87 % (719886)------------------------------
% 20.20/3.87 % (719886)------------------------------
% 20.20/3.87 % (719895)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=43318626:cond=fast:i=5208:av=off_2985 on theBenchmark for (2985ds/5208Mi)
% 20.20/3.87 % (719889)Instruction limit reached!
% 20.20/3.87 % (719889)------------------------------
% 20.20/3.87 % (719889)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.20/3.87 % (719889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.20/3.87 % (719889)CaDiCaL version: 2.1.3
% 20.20/3.87 % (719889)Termination reason: Instruction limit
% 20.20/3.87 % (719889)Termination phase: Saturation
% 20.20/3.87 % (719889)Time elapsed: 0.252 s
% 20.20/3.87 % (719889)Peak memory usage: 91 MB
% 20.20/3.87 % (719889)Instructions burned: 242 (million)
% 20.20/3.87 % (719899)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2504791900:i=134:sd=2:doe=on:ss=axioms:sgt=14_2984 on theBenchmark for (2984ds/134Mi)
% 20.20/3.87 % (719899)Instruction limit reached!
% 20.20/3.87 % (719899)------------------------------
% 20.20/3.87 % (719899)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.20/3.87 % (719899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.20/3.87 % (719899)CaDiCaL version: 2.1.3
% 20.20/3.87 % (719899)Termination reason: Instruction limit
% 20.20/3.87 % (719899)Termination phase: Saturation
% 20.20/3.87 % (719899)Time elapsed: 0.073 s
% 20.20/3.87 % (719899)Peak memory usage: 89 MB
% 20.20/3.87 % (719899)Instructions burned: 136 (million)
% 20.20/3.87 % (719901)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=3823662787:i=499:bd=all_2982 on theBenchmark for (2982ds/499Mi)
% 20.20/3.87 % (719905)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=4284146408:i=191:fgj=on:bd=all_2981 on theBenchmark for (2981ds/191Mi)
% 20.20/3.87 % (719905)Instruction limit reached!
% 20.20/3.87 % (719905)------------------------------
% 20.20/3.87 % (719905)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.20/3.87 % (719905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.20/3.87 % (719905)CaDiCaL version: 2.1.3
% 20.20/3.87 % (719905)Termination reason: Instruction limit
% 20.20/3.87 % (719905)Termination phase: Saturation
% 20.20/3.87 % (719905)Time elapsed: 0.120 s
% 20.20/3.87 % (719905)Peak memory usage: 93 MB
% 20.20/3.87 % (719905)Instructions burned: 192 (million)
% 20.20/3.87 % (719910)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3790539057:i=264:kws=precedence:fsr=off_2977 on theBenchmark for (2977ds/264Mi)
% 20.20/3.87 % (719901)Instruction limit reached!
% 20.20/3.87 % (719901)------------------------------
% 20.20/3.87 % (719901)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.20/3.87 % (719901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.20/3.87 % (719901)CaDiCaL version: 2.1.3
% 20.20/3.87 % (719901)Termination reason: Instruction limit
% 20.20/3.87 % (719901)Termination phase: Saturation
% 20.20/3.87 % (719901)Time elapsed: 0.470 s
% 20.20/3.87 % (719901)Peak memory usage: 93 MB
% 20.20/3.87 % (719901)Instructions burned: 499 (million)
% 20.20/3.87 % (719884)First to succeed.
% 20.20/3.87 % (719884)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-719765"
% 20.20/3.87 % (719910)Instruction limit reached!
% 20.20/3.87 % (719910)------------------------------
% 20.20/3.87 % (719910)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.20/3.87 % (719910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.20/3.87 % (719910)CaDiCaL version: 2.1.3
% 20.20/3.87 % (719910)Termination reason: Instruction limit
% 20.20/3.87 % (719910)Termination phase: Saturation
% 20.20/3.87 % (719910)Time elapsed: 0.139 s
% 20.20/3.87 % (719910)Peak memory usage: 92 MB
% 20.20/3.87 % (719910)Instructions burned: 264 (million)
% 20.20/3.87 % (719831)Also succeeded, but the first one will report.
% 20.20/3.87 % (719912)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=3930797937:cond=on:i=156:bs=on:gtg=exists_all:er=known_2975 on theBenchmark for (2975ds/156Mi)
% 20.20/3.87 % (719914)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=2506920166:i=3256:kws=precedence:bd=preordered:av=off_2974 on theBenchmark for (2974ds/3256Mi)
% 20.20/3.87 % (719912)Instruction limit reached!
% 20.20/3.87 % (719912)------------------------------
% 20.20/3.87 % (719912)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.20/3.87 % (719912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.20/3.87 % (719912)CaDiCaL version: 2.1.3
% 20.20/3.87 % (719912)Termination reason: Instruction limit
% 20.20/3.87 % (719912)Termination phase: Saturation
% 20.20/3.87 % (719912)Time elapsed: 0.153 s
% 20.20/3.87 % (719912)Peak memory usage: 88 MB
% 20.20/3.87 % (719912)Instructions burned: 157 (million)
% 20.20/3.87 % (719884)Refutation found. Thanks to Tanya!
% 20.20/3.87 % SZS status Unsatisfiable for theBenchmark
% 20.20/3.87 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/4.21 % (719884)------------------------------
% 0.18/4.21 % (719884)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/4.21 % (719884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/4.21 % (719884)CaDiCaL version: 2.1.3
% 0.18/4.21 % (719884)Termination reason: Refutation
% 0.18/4.21 % (719884)Time elapsed: 1.237 s
% 0.18/4.21 % (719884)Peak memory usage: 130 MB
% 0.18/4.21 % (719884)Instructions burned: 1160 (million)
% 0.18/4.21 % (719884)------------------------------
% 0.18/4.21 % (719884)------------------------------
% 0.18/4.21 % (719765)Success in time 2.988 s
% 0.18/4.21 % Vampire exiting
%------------------------------------------------------------------------------