%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL306-3 : 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 : n011.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 11:51:56 AM UTC 2026
% Result : Unsatisfiable 12.71s 2.87s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 26
% Syntax : Number of formulae : 114 ( 66 unt; 15 def)
% Number of atoms : 175 ( 28 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 126 ( 65 ~; 58 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 14 con; 0-2 aty)
% Number of variables : 105 ( 0 sgn 105 !; 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(implies(not(p),equivalent(q,or(p,q)))),
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,
! [X0] : axiom(or(not(or(X0,X0)),X0)),
inference(definition_unfolding,[],[f1,f6]) ).
fof(f14,plain,
! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
inference(definition_unfolding,[],[f2,f6]) ).
fof(f15,plain,
! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
inference(definition_unfolding,[],[f3,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,
! [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(f18,plain,
! [X0,X1] :
( ~ theorem(or(not(X1),X0))
| theorem(X0)
| ~ theorem(X1) ),
inference(definition_unfolding,[],[f8,f6]) ).
fof(f19,plain,
~ theorem(or(not(not(p)),not(or(not(or(not(q),or(p,q))),not(or(not(or(p,q)),q)))))),
inference(definition_unfolding,[],[f11,f6,f12]) ).
fof(f20,definition,
sF0 = not(p),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f21,plain,
not(p) = sF0,
inference(reorient_equations,[],[f20]) ).
fof(f22,definition,
sF1 = not(sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f23,plain,
not(sF0) = sF1,
inference(reorient_equations,[],[f22]) ).
fof(f24,definition,
sF2 = not(q),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f25,plain,
not(q) = sF2,
inference(reorient_equations,[],[f24]) ).
fof(f26,definition,
sF3 = or(p,q),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f27,plain,
or(p,q) = sF3,
inference(reorient_equations,[],[f26]) ).
fof(f28,definition,
sF4 = or(sF2,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f29,plain,
or(sF2,sF3) = sF4,
inference(reorient_equations,[],[f28]) ).
fof(f30,definition,
sF5 = not(sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f31,plain,
not(sF4) = sF5,
inference(reorient_equations,[],[f30]) ).
fof(f32,definition,
sF6 = not(sF3),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f33,plain,
not(sF3) = sF6,
inference(reorient_equations,[],[f32]) ).
fof(f34,definition,
sF7 = or(sF6,q),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f35,plain,
or(sF6,q) = sF7,
inference(reorient_equations,[],[f34]) ).
fof(f36,definition,
sF8 = not(sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f37,plain,
not(sF7) = sF8,
inference(reorient_equations,[],[f36]) ).
fof(f38,definition,
sF9 = or(sF5,sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f39,plain,
or(sF5,sF8) = sF9,
inference(reorient_equations,[],[f38]) ).
fof(f40,definition,
sF10 = not(sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f41,plain,
not(sF9) = sF10,
inference(reorient_equations,[],[f40]) ).
fof(f42,definition,
sF11 = or(sF1,sF10),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f43,plain,
or(sF1,sF10) = sF11,
inference(reorient_equations,[],[f42]) ).
fof(f44,plain,
~ theorem(sF11),
inference(definition_folding,[],[f19,f43,f41,f39,f37,f35,f33,f27,f31,f29,f27,f25,f23,f21]) ).
fof(f47,plain,
! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(resolution,[],[f7,f17]) ).
fof(f52,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(resolution,[],[f16,f7]) ).
fof(f59,plain,
! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(resolution,[],[f15,f7]) ).
fof(f63,plain,
theorem(or(not(or(sF10,sF1)),sF11)),
inference(superposition,[],[f59,f43]) ).
fof(f88,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,X2)))
| ~ theorem(or(not(X1),X2)) ),
inference(resolution,[],[f18,f47]) ).
fof(f89,plain,
! [X0,X1] :
( ~ theorem(or(X1,X0))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f18,f59]) ).
fof(f94,plain,
! [X0] :
( ~ theorem(or(sF5,X0))
| theorem(X0)
| ~ theorem(sF4) ),
inference(superposition,[],[f18,f31]) ).
fof(f114,definition,
( spl12_5
<=> theorem(sF4) ),
introduced(definition,[new_symbols(definition,[spl12_5])],[avatar_definition]) ).
fof(f116,plain,
( ~ theorem(sF4)
| spl12_5 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f118,definition,
( spl12_6
<=> ! [X0] :
( ~ theorem(or(sF5,X0))
| theorem(X0) ) ),
introduced(definition,[new_symbols(definition,[spl12_6])],[avatar_definition]) ).
fof(f119,plain,
( ! [X0] :
( ~ theorem(or(sF5,X0))
| theorem(X0) )
| ~ spl12_6 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f120,plain,
( ~ spl12_5
| spl12_6 ),
inference(avatar_split_clause,[],[f94,f118,f114]) ).
fof(f162,plain,
theorem(or(not(sF9),or(sF8,sF5))),
inference(superposition,[],[f59,f39]) ).
fof(f163,plain,
theorem(or(sF10,or(sF8,sF5))),
inference(forward_demodulation,[],[f162,f41]) ).
fof(f199,plain,
! [X2,X0,X1] :
( ~ theorem(or(X1,or(X0,X2)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f52,f18]) ).
fof(f214,plain,
! [X0] :
( theorem(or(sF1,or(X0,sF10)))
| ~ theorem(or(X0,sF11)) ),
inference(superposition,[],[f199,f43]) ).
fof(f218,plain,
! [X0,X1] : theorem(or(not(X0),or(X1,X0))),
inference(resolution,[],[f14,f7]) ).
fof(f244,plain,
theorem(or(not(q),sF3)),
inference(superposition,[],[f218,f27]) ).
fof(f251,plain,
theorem(or(sF2,sF3)),
inference(forward_demodulation,[],[f244,f25]) ).
fof(f252,plain,
theorem(sF4),
inference(forward_demodulation,[],[f251,f29]) ).
fof(f253,plain,
( $false
| spl12_5 ),
inference(forward_subsumption_resolution,[],[f252,f116]) ).
fof(f254,plain,
spl12_5,
inference(avatar_contradiction_clause,[],[f253]) ).
fof(f255,plain,
! [X0] : theorem(or(not(or(X0,X0)),X0)),
inference(resolution,[],[f13,f7]) ).
fof(f274,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X2,X0)) ),
inference(resolution,[],[f88,f18]) ).
fof(f295,plain,
! [X2,X0,X1] :
( ~ theorem(or(X0,or(X2,X1)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f274,f59]) ).
fof(f296,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X1,X3)))
| theorem(or(X0,or(X1,X2)))
| ~ theorem(or(not(X3),X2)) ),
inference(resolution,[],[f274,f88]) ).
fof(f299,plain,
! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X2)) ),
inference(resolution,[],[f274,f218]) ).
fof(f300,plain,
! [X0,X1] :
( ~ theorem(or(X0,or(X1,X1)))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f274,f255]) ).
fof(f301,plain,
! [X0,X1] :
( ~ theorem(or(sF0,X0))
| theorem(or(X1,X0))
| ~ theorem(or(X1,p)) ),
inference(superposition,[],[f274,f21]) ).
fof(f312,plain,
! [X0] : theorem(or(not(X0),X0)),
inference(resolution,[],[f300,f218]) ).
fof(f331,plain,
! [X0] : theorem(or(X0,not(X0))),
inference(resolution,[],[f312,f89]) ).
fof(f335,plain,
theorem(or(sF6,sF3)),
inference(superposition,[],[f312,f33]) ).
fof(f353,plain,
! [X2,X3,X0,X1] :
( theorem(or(not(or(X0,or(X1,X2))),or(X1,X3)))
| ~ theorem(or(not(or(X0,X2)),X3)) ),
inference(resolution,[],[f296,f52]) ).
fof(f369,plain,
! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f299,f295]) ).
fof(f522,plain,
theorem(or(sF8,or(sF10,sF5))),
inference(resolution,[],[f163,f199]) ).
fof(f542,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(not(or(X0,X1)),X2))
| theorem(or(X3,X2))
| ~ theorem(or(X0,or(X3,X1))) ),
inference(resolution,[],[f353,f18]) ).
fof(f604,plain,
( ! [X0,X1] :
( ~ theorem(or(sF5,X0))
| theorem(or(X0,X1)) )
| ~ spl12_6 ),
inference(resolution,[],[f369,f119]) ).
fof(f626,plain,
! [X0,X1] :
( ~ theorem(or(X1,or(X0,X1)))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f542,f255]) ).
fof(f635,plain,
! [X0,X1] :
( ~ theorem(or(not(sF7),X0))
| theorem(or(X1,X0))
| ~ theorem(or(sF6,or(X1,q))) ),
inference(superposition,[],[f542,f35]) ).
fof(f636,plain,
! [X0,X1] :
( ~ theorem(or(sF6,or(X1,q)))
| theorem(or(X1,X0))
| ~ theorem(or(sF8,X0)) ),
inference(forward_demodulation,[],[f635,f37]) ).
fof(f888,plain,
! [X0] :
( ~ theorem(or(sF6,sF3))
| theorem(or(p,X0))
| ~ theorem(or(sF8,X0)) ),
inference(superposition,[],[f636,f27]) ).
fof(f890,plain,
! [X0] :
( ~ theorem(or(sF8,X0))
| theorem(or(p,X0)) ),
inference(forward_subsumption_resolution,[],[f888,f335]) ).
fof(f896,plain,
theorem(or(p,or(sF10,sF5))),
inference(resolution,[],[f890,f522]) ).
fof(f919,plain,
( ! [X0] : theorem(or(not(sF5),X0))
| ~ spl12_6 ),
inference(resolution,[],[f604,f331]) ).
fof(f977,plain,
! [X0] :
( theorem(or(X0,not(sF0)))
| ~ theorem(or(X0,p)) ),
inference(resolution,[],[f301,f331]) ).
fof(f981,plain,
! [X0] :
( ~ theorem(or(X0,p))
| theorem(or(X0,sF1)) ),
inference(forward_demodulation,[],[f977,f23]) ).
fof(f1119,plain,
! [X0] :
( ~ theorem(or(X0,or(sF10,sF1)))
| theorem(or(X0,sF11)) ),
inference(resolution,[],[f63,f274]) ).
fof(f1120,plain,
( theorem(sF11)
| ~ theorem(or(sF10,sF1)) ),
inference(resolution,[],[f63,f18]) ).
fof(f1123,plain,
~ theorem(or(sF10,sF1)),
inference(forward_subsumption_resolution,[],[f1120,f44]) ).
fof(f1393,definition,
( spl12_62
<=> theorem(or(p,sF11)) ),
introduced(definition,[new_symbols(definition,[spl12_62])],[avatar_definition]) ).
fof(f1394,plain,
( theorem(or(p,sF11))
| ~ spl12_62 ),
inference(avatar_component_clause,[],[f1393]) ).
fof(f1631,plain,
! [X0] :
( theorem(or(sF1,or(sF10,X0)))
| ~ theorem(or(X0,sF11)) ),
inference(resolution,[],[f214,f295]) ).
fof(f1640,plain,
( ~ theorem(or(sF1,sF11))
| theorem(or(sF10,sF1)) ),
inference(resolution,[],[f1631,f626]) ).
fof(f1648,plain,
~ theorem(or(sF1,sF11)),
inference(forward_subsumption_resolution,[],[f1640,f1123]) ).
fof(f1650,plain,
! [X0] :
( theorem(or(p,or(sF10,X0)))
| ~ theorem(or(not(sF5),X0)) ),
inference(resolution,[],[f896,f296]) ).
fof(f1654,plain,
( ! [X0] : theorem(or(p,or(sF10,X0)))
| ~ spl12_6 ),
inference(forward_subsumption_resolution,[],[f1650,f919]) ).
fof(f1658,plain,
( theorem(or(p,sF11))
| ~ spl12_6 ),
inference(resolution,[],[f1654,f1119]) ).
fof(f1668,plain,
( spl12_62
| ~ spl12_6 ),
inference(avatar_split_clause,[],[f1658,f118,f1393]) ).
fof(f1671,plain,
( theorem(or(sF11,p))
| ~ spl12_62 ),
inference(resolution,[],[f1394,f89]) ).
fof(f1682,plain,
( theorem(or(sF11,sF1))
| ~ spl12_62 ),
inference(resolution,[],[f1671,f981]) ).
fof(f1685,plain,
( theorem(or(sF1,sF11))
| ~ spl12_62 ),
inference(resolution,[],[f1682,f89]) ).
fof(f1686,plain,
( $false
| ~ spl12_62 ),
inference(forward_subsumption_resolution,[],[f1685,f1648]) ).
fof(f1687,plain,
~ spl12_62,
inference(avatar_contradiction_clause,[],[f1686]) ).
cnf(s3,plain,
( ~ spl12_5
| spl12_6 ),
inference(sat_conversion,[],[f120]) ).
cnf(s8,plain,
spl12_5,
inference(sat_conversion,[],[f254]) ).
cnf(s49,plain,
( ~ spl12_6
| spl12_62 ),
inference(sat_conversion,[],[f1668]) ).
cnf(s50,plain,
~ spl12_62,
inference(sat_conversion,[],[f1687]) ).
cnf(s51,plain,
~ spl12_6,
inference(rat,[],[s49,s50]) ).
cnf(s52,plain,
$false,
inference(rat,[],[s3,s51,s8]) ).
fof(f1688,plain,
$false,
inference(avatar_sat_refutation,[],[s52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL306-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n011.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 15:33:45 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 12.71/2.87 % (2566884)Input is clausal, will run a generic CNF schedule.
% 12.71/2.87 % (2566995)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1899922109:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 12.71/2.87 % (2566991)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=257741636:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 12.71/2.87 % (2566990)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=3630888336:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 12.71/2.87 % (2566994)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4000344034:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 12.71/2.87 % (2566992)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=24128153:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 12.71/2.87 % (2566996)dis-21_1_sil=8000:lcm=predicate:random_seed=1819242963: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)
% 12.71/2.87 % (2566993)lrs+10_1_sil=8000:sp=occurrence:random_seed=1503283772:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 12.71/2.87 % (2566995)Instruction limit reached!
% 12.71/2.87 % (2566995)------------------------------
% 12.71/2.87 % (2566995)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.71/2.87 % (2566995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.71/2.87 % (2566995)CaDiCaL version: 2.1.3
% 12.71/2.87 % (2566995)Termination reason: Instruction limit
% 12.71/2.87 % (2566995)Termination phase: Saturation
% 12.71/2.87 % (2566995)Time elapsed: 0.062 s
% 12.71/2.87 % (2566995)Peak memory usage: 89 MB
% 12.71/2.87 % (2566995)Instructions burned: 181 (million)
% 12.71/2.87 % (2566996)Instruction limit reached!
% 12.71/2.87 % (2566996)------------------------------
% 12.71/2.87 % (2566996)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.71/2.87 % (2566996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.71/2.87 % (2566996)CaDiCaL version: 2.1.3
% 12.71/2.87 % (2566996)Termination reason: Instruction limit
% 12.71/2.87 % (2566996)Termination phase: Saturation
% 12.71/2.87 % (2566996)Time elapsed: 0.075 s
% 12.71/2.87 % (2566996)Peak memory usage: 87 MB
% 12.71/2.87 % (2566996)Instructions burned: 119 (million)
% 12.71/2.87 % (2566994)Instruction limit reached!
% 12.71/2.87 % (2566994)------------------------------
% 12.71/2.87 % (2566994)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.71/2.87 % (2566994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.71/2.87 % (2566994)CaDiCaL version: 2.1.3
% 12.71/2.87 % (2566994)Termination reason: Instruction limit
% 12.71/2.87 % (2566994)Termination phase: Saturation
% 12.71/2.87 % (2566994)Time elapsed: 0.077 s
% 12.71/2.87 % (2566994)Peak memory usage: 88 MB
% 12.71/2.87 % (2566994)Instructions burned: 114 (million)
% 12.71/2.87 % (2566993)Instruction limit reached!
% 12.71/2.87 % (2566993)------------------------------
% 12.71/2.87 % (2566993)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.71/2.87 % (2566993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.71/2.87 % (2566993)CaDiCaL version: 2.1.3
% 12.71/2.87 % (2566993)Termination reason: Instruction limit
% 12.71/2.87 % (2566993)Termination phase: Saturation
% 12.71/2.87 % (2566993)Time elapsed: 0.079 s
% 12.71/2.87 % (2566993)Peak memory usage: 89 MB
% 12.71/2.87 % (2566993)Instructions burned: 107 (million)
% 12.71/2.87 % (2567008)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=888323195:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 12.71/2.87 % (2567008)Refutation not found, incomplete strategy
% 12.71/2.87 % (2567008)------------------------------
% 12.71/2.87 % (2567008)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.71/2.87 % (2567008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.71/2.87 % (2567008)CaDiCaL version: 2.1.3
% 12.71/2.87 % (2567008)Termination reason: Refutation not found, incomplete strategy
% 12.71/2.87 % (2567008)Time elapsed: 0.001 s
% 12.71/2.87 % (2567008)Peak memory usage: 88 MB
% 12.71/2.87 % (2567026)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=500637324:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 12.71/2.87 % (2567026)Refutation not found, incomplete strategy
% 12.71/2.87 % (2567026)------------------------------
% 12.71/2.87 % (2567026)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.71/2.87 % (2567026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.71/2.87 % (2567026)CaDiCaL version: 2.1.3
% 12.71/2.87 % (2567026)Termination reason: Refutation not found, incomplete strategy
% 12.71/2.87 % (2567026)Time elapsed: 0.002 s
% 12.71/2.87 % (2567026)Peak memory usage: 88 MB
% 12.71/2.87 % (2567026)Instructions burned: 1 (million)
% 12.71/2.87 % (2567025)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2733260037: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)
% 12.71/2.87 % (2567025)Refutation not found, incomplete strategy
% 12.71/2.87 % (2567025)------------------------------
% 12.71/2.87 % (2567025)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.71/2.87 % (2567025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.71/2.87 % (2567025)CaDiCaL version: 2.1.3
% 12.71/2.87 % (2567025)Termination reason: Refutation not found, incomplete strategy
% 12.71/2.87 % (2567025)Time elapsed: 0.002 s
% 12.71/2.87 % (2567025)Peak memory usage: 87 MB
% 12.71/2.87 % (2567034)lrs+10_64_to=lpo:sil=8000:random_seed=254842305:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 12.71/2.87 % (2567008)------------------------------
% 12.71/2.87 % (2567008)------------------------------
% 12.71/2.87 % (2567034)Instruction limit reached!
% 12.71/2.87 % (2567034)------------------------------
% 12.71/2.87 % (2567034)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.71/2.87 % (2567034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.71/2.87 % (2567034)CaDiCaL version: 2.1.3
% 12.71/2.87 % (2567034)Termination reason: Instruction limit
% 12.71/2.87 % (2567034)Termination phase: Saturation
% 12.71/2.87 % (2567034)Time elapsed: 0.121 s
% 12.71/2.87 % (2567034)Peak memory usage: 89 MB
% 12.71/2.87 % (2567034)Instructions burned: 126 (million)
% 12.71/2.87 % (2567025)------------------------------
% 12.71/2.87 % (2567025)------------------------------
% 12.71/2.87 % (2567051)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=4011633171:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 12.71/2.87 % (2567026)------------------------------
% 12.71/2.87 % (2567026)------------------------------
% 12.71/2.87 % (2567051)Instruction limit reached!
% 12.71/2.87 % (2567051)------------------------------
% 12.71/2.87 % (2567051)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.71/2.87 % (2567051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.71/2.87 % (2567051)CaDiCaL version: 2.1.3
% 12.71/2.87 % (2567051)Termination reason: Instruction limit
% 12.71/2.87 % (2567051)Termination phase: Saturation
% 12.71/2.87 % (2567051)Time elapsed: 0.107 s
% 12.71/2.87 % (2567051)Peak memory usage: 90 MB
% 12.71/2.87 % (2567051)Instructions burned: 195 (million)
% 12.71/2.87 % (2567052)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2220198019:i=157:gtg=all_2993 on theBenchmark for (2993ds/157Mi)
% 12.71/2.87 % (2567056)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=810116666:i=3394:sd=4:ss=included:sgt=64_2991 on theBenchmark for (2991ds/3394Mi)
% 12.71/2.87 % (2567059)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=737294076:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2991 on theBenchmark for (2991ds/106Mi)
% 12.71/2.87 % (2567060)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2332679079:i=107_2990 on theBenchmark for (2990ds/107Mi)
% 12.71/2.87 % (2567060)Refutation not found, incomplete strategy
% 12.71/2.87 % (2567060)------------------------------
% 12.71/2.87 % (2567060)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.71/2.87 % (2567060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.71/2.87 % (2567060)CaDiCaL version: 2.1.3
% 12.71/2.87 % (2567060)Termination reason: Refutation not found, incomplete strategy
% 12.71/2.87 % (2567060)Time elapsed: 0.002 s
% 12.71/2.87 % (2567060)Peak memory usage: 87 MB
% 12.71/2.87 % (2567052)Instruction limit reached!
% 12.71/2.87 % (2567052)------------------------------
% 12.71/2.87 % (2567052)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.71/2.87 % (2567052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.71/2.87 % (2567052)CaDiCaL version: 2.1.3
% 12.71/2.87 % (2567052)Termination reason: Instruction limit
% 12.71/2.87 % (2567052)Termination phase: Saturation
% 12.71/2.87 % (2567052)Time elapsed: 0.169 s
% 12.71/2.87 % (2567052)Peak memory usage: 91 MB
% 12.71/2.87 % (2567052)Instructions burned: 157 (million)
% 12.71/2.87 % (2567059)Instruction limit reached!
% 12.71/2.87 % (2567059)------------------------------
% 12.71/2.87 % (2567059)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.71/2.87 % (2567059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.71/2.87 % (2567059)CaDiCaL version: 2.1.3
% 12.71/2.87 % (2567059)Termination reason: Instruction limit
% 12.71/2.87 % (2567059)Termination phase: Saturation
% 12.71/2.87 % (2567059)Time elapsed: 0.097 s
% 12.71/2.87 % (2567059)Peak memory usage: 88 MB
% 12.71/2.87 % (2567059)Instructions burned: 106 (million)
% 12.71/2.87 % (2567067)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=919332986:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2988 on theBenchmark for (2988ds/242Mi)
% 12.71/2.87 % (2567070)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=269705306:cond=fast:i=5208:av=off_2987 on theBenchmark for (2987ds/5208Mi)
% 12.71/2.87 % (2567060)------------------------------
% 12.71/2.87 % (2567060)------------------------------
% 12.71/2.87 % (2566990)First to succeed.
% 12.71/2.87 % (2566990)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2566884"
% 12.71/2.87 % (2567067)Instruction limit reached!
% 12.71/2.87 % (2567067)------------------------------
% 12.71/2.87 % (2567067)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.71/2.87 % (2567067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.71/2.87 % (2567067)CaDiCaL version: 2.1.3
% 12.71/2.87 % (2567067)Termination reason: Instruction limit
% 12.71/2.87 % (2567067)Termination phase: Saturation
% 12.71/2.87 % (2567067)Time elapsed: 0.264 s
% 12.71/2.87 % (2567067)Peak memory usage: 90 MB
% 12.71/2.87 % (2567067)Instructions burned: 242 (million)
% 12.71/2.87 % (2567075)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2932731281:i=134:sd=2:doe=on:ss=axioms:sgt=14_2984 on theBenchmark for (2984ds/134Mi)
% 12.71/2.87 % (2567075)Instruction limit reached!
% 12.71/2.87 % (2567075)------------------------------
% 12.71/2.87 % (2567075)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.71/2.87 % (2567075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.71/2.87 % (2567075)CaDiCaL version: 2.1.3
% 12.71/2.87 % (2567075)Termination reason: Instruction limit
% 12.71/2.87 % (2567075)Termination phase: Saturation
% 12.71/2.87 % (2567075)Time elapsed: 0.144 s
% 12.71/2.87 % (2567075)Peak memory usage: 89 MB
% 12.71/2.87 % (2567075)Instructions burned: 134 (million)
% 12.71/2.87 % (2567077)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=3937193336:i=499:bd=all_2983 on theBenchmark for (2983ds/499Mi)
% 12.71/2.87 % (2566990)Refutation found. Thanks to Tanya!
% 12.71/2.87 % SZS status Unsatisfiable for theBenchmark
% 12.71/2.87 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/3.20 % (2566990)------------------------------
% 0.17/3.20 % (2566990)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/3.20 % (2566990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/3.20 % (2566990)CaDiCaL version: 2.1.3
% 0.17/3.20 % (2566990)Termination reason: Refutation
% 0.17/3.20 % (2566990)Time elapsed: 1.420 s
% 0.17/3.20 % (2566990)Peak memory usage: 132 MB
% 0.17/3.20 % (2566990)Instructions burned: 1326 (million)
% 0.17/3.20 % (2566990)------------------------------
% 0.17/3.20 % (2566990)------------------------------
% 0.17/3.20 % (2566884)Success in time 2.006 s
% 0.17/3.20 % Vampire exiting
%------------------------------------------------------------------------------