%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL223-3 : 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 : n018.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 11:51:38 AM UTC 2026
% Result : Unsatisfiable 11.63s 2.65s
% Output : Refutation 13.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 20
% Syntax : Number of formulae : 85 ( 55 unt; 11 def)
% Number of atoms : 118 ( 19 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 68 ( 35 ~; 31 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 12 con; 0-2 aty)
% Number of variables : 71 ( 0 sgn 71 !; 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,negated_conjecture,
~ theorem(implies(or(p,q),implies(or(p,implies(q,r)),or(p,r)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f10,plain,
! [X0] : axiom(or(not(or(X0,X0)),X0)),
inference(definition_unfolding,[],[f1,f6]) ).
fof(f11,plain,
! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
inference(definition_unfolding,[],[f2,f6]) ).
fof(f12,plain,
! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
inference(definition_unfolding,[],[f3,f6]) ).
fof(f13,plain,
! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(definition_unfolding,[],[f4,f6]) ).
fof(f14,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(f15,plain,
! [X0,X1] :
( ~ theorem(or(not(X1),X0))
| theorem(X0)
| ~ theorem(X1) ),
inference(definition_unfolding,[],[f8,f6]) ).
fof(f16,plain,
~ theorem(or(not(or(p,q)),or(not(or(p,or(not(q),r))),or(p,r)))),
inference(definition_unfolding,[],[f9,f6,f6,f6]) ).
fof(f17,definition,
sF0 = or(p,q),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f18,plain,
or(p,q) = sF0,
inference(reorient_equations,[],[f17]) ).
fof(f19,definition,
sF1 = not(sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f20,plain,
not(sF0) = sF1,
inference(reorient_equations,[],[f19]) ).
fof(f21,definition,
sF2 = not(q),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f22,plain,
not(q) = sF2,
inference(reorient_equations,[],[f21]) ).
fof(f23,definition,
sF3 = or(sF2,r),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f24,plain,
or(sF2,r) = sF3,
inference(reorient_equations,[],[f23]) ).
fof(f25,definition,
sF4 = or(p,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f26,plain,
or(p,sF3) = sF4,
inference(reorient_equations,[],[f25]) ).
fof(f27,definition,
sF5 = not(sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f28,plain,
not(sF4) = sF5,
inference(reorient_equations,[],[f27]) ).
fof(f29,definition,
sF6 = or(p,r),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f30,plain,
or(p,r) = sF6,
inference(reorient_equations,[],[f29]) ).
fof(f31,definition,
sF7 = or(sF5,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f32,plain,
or(sF5,sF6) = sF7,
inference(reorient_equations,[],[f31]) ).
fof(f33,definition,
sF8 = or(sF1,sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f34,plain,
or(sF1,sF7) = sF8,
inference(reorient_equations,[],[f33]) ).
fof(f35,plain,
~ theorem(sF8),
inference(definition_folding,[],[f16,f34,f32,f30,f28,f26,f24,f22,f20,f18]) ).
fof(f38,plain,
! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(resolution,[],[f7,f14]) ).
fof(f55,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,X2)))
| ~ theorem(or(not(X1),X2)) ),
inference(resolution,[],[f15,f38]) ).
fof(f101,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(resolution,[],[f13,f7]) ).
fof(f114,plain,
! [X2,X0,X1] :
( ~ theorem(or(X1,or(X0,X2)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f101,f15]) ).
fof(f121,plain,
! [X0] : theorem(or(not(or(p,or(X0,r))),or(X0,sF6))),
inference(superposition,[],[f101,f30]) ).
fof(f124,plain,
! [X0] : theorem(or(not(or(sF1,or(X0,sF7))),or(X0,sF8))),
inference(superposition,[],[f101,f34]) ).
fof(f126,plain,
! [X0] : theorem(or(not(or(sF5,or(X0,sF6))),or(X0,sF7))),
inference(superposition,[],[f101,f32]) ).
fof(f135,plain,
! [X0,X1] : theorem(or(not(X0),or(X1,X0))),
inference(resolution,[],[f11,f7]) ).
fof(f158,plain,
! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(resolution,[],[f12,f7]) ).
fof(f173,plain,
! [X0,X1] :
( ~ theorem(or(X1,X0))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f158,f15]) ).
fof(f226,plain,
! [X0] :
( ~ theorem(or(sF1,or(X0,sF7)))
| theorem(or(X0,sF8)) ),
inference(resolution,[],[f124,f15]) ).
fof(f230,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X2,X0)) ),
inference(resolution,[],[f55,f15]) ).
fof(f234,plain,
! [X0] :
( theorem(or(not(sF0),or(p,X0)))
| ~ theorem(or(not(q),X0)) ),
inference(superposition,[],[f55,f18]) ).
fof(f246,plain,
! [X0] :
( theorem(or(sF1,or(p,X0)))
| ~ theorem(or(not(q),X0)) ),
inference(forward_demodulation,[],[f234,f20]) ).
fof(f247,plain,
! [X0] :
( theorem(or(sF1,or(p,X0)))
| ~ theorem(or(sF2,X0)) ),
inference(forward_demodulation,[],[f246,f22]) ).
fof(f248,plain,
! [X2,X0,X1] :
( ~ theorem(or(X0,or(X2,X1)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f230,f158]) ).
fof(f253,plain,
! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X2)) ),
inference(resolution,[],[f230,f135]) ).
fof(f262,plain,
! [X0,X1] : theorem(or(not(X0),or(X0,X1))),
inference(resolution,[],[f248,f135]) ).
fof(f293,plain,
! [X0] : theorem(or(not(or(X0,X0)),X0)),
inference(resolution,[],[f10,f7]) ).
fof(f295,plain,
! [X0] :
( ~ theorem(or(X0,X0))
| theorem(X0) ),
inference(resolution,[],[f293,f15]) ).
fof(f444,plain,
( theorem(or(p,sF8))
| ~ theorem(or(sF2,sF7)) ),
inference(resolution,[],[f226,f247]) ).
fof(f449,definition,
( spl9_19
<=> theorem(or(sF2,sF7)) ),
introduced(definition,[new_symbols(definition,[spl9_19])],[avatar_definition]) ).
fof(f451,plain,
( ~ theorem(or(sF2,sF7))
| spl9_19 ),
inference(avatar_component_clause,[],[f449]) ).
fof(f453,definition,
( spl9_20
<=> theorem(or(p,sF8)) ),
introduced(definition,[new_symbols(definition,[spl9_20])],[avatar_definition]) ).
fof(f455,plain,
( theorem(or(p,sF8))
| ~ spl9_20 ),
inference(avatar_component_clause,[],[f453]) ).
fof(f456,plain,
( ~ spl9_19
| spl9_20 ),
inference(avatar_split_clause,[],[f444,f453,f449]) ).
fof(f473,plain,
theorem(or(not(p),sF6)),
inference(superposition,[],[f262,f30]) ).
fof(f521,plain,
theorem(or(not(or(sF5,or(sF1,sF6))),sF8)),
inference(superposition,[],[f126,f34]) ).
fof(f801,plain,
theorem(or(not(or(p,sF3)),or(sF2,sF6))),
inference(superposition,[],[f121,f24]) ).
fof(f803,plain,
theorem(or(not(sF4),or(sF2,sF6))),
inference(forward_demodulation,[],[f801,f26]) ).
fof(f804,plain,
theorem(or(sF5,or(sF2,sF6))),
inference(forward_demodulation,[],[f803,f28]) ).
fof(f808,plain,
theorem(or(sF2,or(sF5,sF6))),
inference(resolution,[],[f804,f114]) ).
fof(f810,plain,
theorem(or(sF2,sF7)),
inference(forward_demodulation,[],[f808,f32]) ).
fof(f811,plain,
( $false
| spl9_19 ),
inference(forward_subsumption_resolution,[],[f810,f451]) ).
fof(f812,plain,
spl9_19,
inference(avatar_contradiction_clause,[],[f811]) ).
fof(f813,plain,
( theorem(or(sF8,p))
| ~ spl9_20 ),
inference(resolution,[],[f455,f173]) ).
fof(f1039,plain,
! [X0] :
( ~ theorem(or(X0,or(sF5,or(sF1,sF6))))
| theorem(or(X0,sF8)) ),
inference(resolution,[],[f521,f230]) ).
fof(f1045,plain,
! [X0] :
( ~ theorem(or(X0,or(sF1,sF6)))
| theorem(or(X0,sF8)) ),
inference(resolution,[],[f1039,f253]) ).
fof(f1081,plain,
! [X0] :
( ~ theorem(or(X0,sF6))
| theorem(or(X0,sF8)) ),
inference(resolution,[],[f1045,f253]) ).
fof(f1136,plain,
theorem(or(not(p),sF8)),
inference(resolution,[],[f473,f1081]) ).
fof(f1140,plain,
! [X0] :
( ~ theorem(or(X0,p))
| theorem(or(X0,sF8)) ),
inference(resolution,[],[f1136,f230]) ).
fof(f1146,plain,
( theorem(or(sF8,sF8))
| ~ spl9_20 ),
inference(resolution,[],[f1140,f813]) ).
fof(f1147,plain,
( theorem(sF8)
| ~ spl9_20 ),
inference(resolution,[],[f1146,f295]) ).
fof(f1149,plain,
( $false
| ~ spl9_20 ),
inference(forward_subsumption_resolution,[],[f1147,f35]) ).
fof(f1150,plain,
~ spl9_20,
inference(avatar_contradiction_clause,[],[f1149]) ).
cnf(s12,plain,
( ~ spl9_19
| spl9_20 ),
inference(sat_conversion,[],[f456]) ).
cnf(s25,plain,
spl9_19,
inference(sat_conversion,[],[f812]) ).
cnf(s38,plain,
~ spl9_20,
inference(sat_conversion,[],[f1150]) ).
cnf(s39,plain,
$false,
inference(rat,[],[s12,s38,s25]) ).
fof(f1151,plain,
$false,
inference(avatar_sat_refutation,[],[s39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL223-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n018.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 15:30:23 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 11.63/2.64 % (2516023)Input is clausal, will run a generic CNF schedule.
% 11.63/2.64 % (2516082)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=235803248:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 11.63/2.64 % (2516086)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=218310625:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 11.63/2.64 % (2516083)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2081533145:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 11.63/2.64 % (2516085)lrs+10_1_sil=8000:sp=occurrence:random_seed=1481534673:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 11.63/2.64 % (2516084)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1521886276:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 11.63/2.64 % (2516087)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2551893680:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 11.63/2.64 % (2516086)Instruction limit reached!
% 11.63/2.64 % (2516086)------------------------------
% 11.63/2.64 % (2516086)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.63/2.64 % (2516086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.63/2.64 % (2516086)CaDiCaL version: 2.1.3
% 11.63/2.64 % (2516086)Termination reason: Instruction limit
% 11.63/2.64 % (2516086)Termination phase: Saturation
% 11.63/2.64 % (2516086)Time elapsed: 0.063 s
% 11.63/2.64 % (2516086)Peak memory usage: 87 MB
% 11.63/2.64 % (2516086)Instructions burned: 116 (million)
% 11.63/2.64 % (2516085)Instruction limit reached!
% 11.63/2.64 % (2516085)------------------------------
% 11.63/2.64 % (2516085)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.63/2.64 % (2516085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.63/2.64 % (2516085)CaDiCaL version: 2.1.3
% 11.63/2.64 % (2516085)Termination reason: Instruction limit
% 11.63/2.64 % (2516085)Termination phase: Saturation
% 11.63/2.64 % (2516085)Time elapsed: 0.069 s
% 11.63/2.64 % (2516085)Peak memory usage: 89 MB
% 11.63/2.64 % (2516085)Instructions burned: 108 (million)
% 11.63/2.64 % (2516088)dis-21_1_sil=8000:lcm=predicate:random_seed=2619719346: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)
% 11.63/2.64 % (2516088)Instruction limit reached!
% 11.63/2.64 % (2516088)------------------------------
% 11.63/2.64 % (2516088)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.63/2.64 % (2516088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.63/2.64 % (2516088)CaDiCaL version: 2.1.3
% 11.63/2.64 % (2516088)Termination reason: Instruction limit
% 11.63/2.64 % (2516088)Termination phase: Saturation
% 11.63/2.64 % (2516088)Time elapsed: 0.064 s
% 11.63/2.64 % (2516088)Peak memory usage: 87 MB
% 11.63/2.64 % (2516088)Instructions burned: 117 (million)
% 11.63/2.64 % (2516087)Instruction limit reached!
% 11.63/2.64 % (2516087)------------------------------
% 11.63/2.64 % (2516087)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.63/2.64 % (2516087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.63/2.64 % (2516087)CaDiCaL version: 2.1.3
% 11.63/2.64 % (2516087)Termination reason: Instruction limit
% 11.63/2.64 % (2516087)Termination phase: Saturation
% 11.63/2.64 % (2516087)Time elapsed: 0.115 s
% 11.63/2.64 % (2516087)Peak memory usage: 89 MB
% 11.63/2.64 % (2516087)Instructions burned: 181 (million)
% 11.63/2.64 % (2516095)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=180543687:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 11.63/2.64 % (2516095)Refutation not found, incomplete strategy
% 11.63/2.64 % (2516095)------------------------------
% 11.63/2.64 % (2516095)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.63/2.64 % (2516095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.63/2.64 % (2516095)CaDiCaL version: 2.1.3
% 11.63/2.64 % (2516095)Termination reason: Refutation not found, incomplete strategy
% 11.63/2.64 % (2516095)Time elapsed: 0.002 s
% 11.63/2.64 % (2516095)Peak memory usage: 88 MB
% 11.63/2.64 % (2516096)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3283914432: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)
% 11.63/2.64 % (2516096)Refutation not found, incomplete strategy
% 11.63/2.64 % (2516096)------------------------------
% 11.63/2.64 % (2516096)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.63/2.64 % (2516096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.63/2.64 % (2516096)CaDiCaL version: 2.1.3
% 11.63/2.64 % (2516096)Termination reason: Refutation not found, incomplete strategy
% 11.63/2.64 % (2516096)Time elapsed: 0.002 s
% 11.63/2.64 % (2516096)Peak memory usage: 87 MB
% 11.63/2.64 % (2516107)lrs+10_64_to=lpo:sil=8000:random_seed=3065864108:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 11.63/2.64 % (2516106)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=100888175:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 11.63/2.64 % (2516106)Refutation not found, incomplete strategy
% 11.63/2.64 % (2516106)------------------------------
% 11.63/2.64 % (2516106)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.63/2.64 % (2516106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.63/2.64 % (2516106)CaDiCaL version: 2.1.3
% 11.63/2.64 % (2516106)Termination reason: Refutation not found, incomplete strategy
% 11.63/2.64 % (2516106)Time elapsed: 0.001 s
% 11.63/2.64 % (2516106)Peak memory usage: 87 MB
% 11.63/2.64 % (2516107)Instruction limit reached!
% 11.63/2.64 % (2516107)------------------------------
% 11.63/2.64 % (2516107)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.63/2.64 % (2516107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.63/2.64 % (2516107)CaDiCaL version: 2.1.3
% 11.63/2.64 % (2516107)Termination reason: Instruction limit
% 11.63/2.64 % (2516107)Termination phase: Saturation
% 11.63/2.64 % (2516107)Time elapsed: 0.058 s
% 11.63/2.64 % (2516107)Peak memory usage: 89 MB
% 11.63/2.64 % (2516107)Instructions burned: 127 (million)
% 11.63/2.64 % (2516120)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2507552989:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 11.63/2.65 % (2516095)------------------------------
% 11.63/2.65 % (2516095)------------------------------
% 11.63/2.65 % (2516096)------------------------------
% 11.63/2.65 % (2516096)------------------------------
% 11.63/2.65 % (2516106)------------------------------
% 11.63/2.65 % (2516106)------------------------------
% 11.63/2.65 % (2516120)Instruction limit reached!
% 11.63/2.65 % (2516120)------------------------------
% 11.63/2.65 % (2516120)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.63/2.65 % (2516120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.63/2.65 % (2516120)CaDiCaL version: 2.1.3
% 11.63/2.65 % (2516120)Termination reason: Instruction limit
% 11.63/2.65 % (2516120)Termination phase: Saturation
% 11.63/2.65 % (2516120)Time elapsed: 0.114 s
% 11.63/2.65 % (2516120)Peak memory usage: 90 MB
% 11.63/2.65 % (2516120)Instructions burned: 196 (million)
% 11.63/2.65 % (2516127)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=311133682:i=157:gtg=all_2991 on theBenchmark for (2991ds/157Mi)
% 11.63/2.65 % (2516128)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2006894548:i=3394:sd=4:ss=included:sgt=64_2991 on theBenchmark for (2991ds/3394Mi)
% 11.63/2.65 % (2516130)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=845083173:i=107_2990 on theBenchmark for (2990ds/107Mi)
% 11.63/2.65 % (2516130)Refutation not found, incomplete strategy
% 11.63/2.65 % (2516130)------------------------------
% 11.63/2.65 % (2516130)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.63/2.65 % (2516130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.63/2.65 % (2516130)CaDiCaL version: 2.1.3
% 11.63/2.65 % (2516130)Termination reason: Refutation not found, incomplete strategy
% 11.63/2.65 % (2516130)Time elapsed: 0.001 s
% 11.63/2.65 % (2516130)Peak memory usage: 87 MB
% 11.63/2.65 % (2516129)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=1727302448:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2990 on theBenchmark for (2990ds/106Mi)
% 11.63/2.65 % (2516127)Instruction limit reached!
% 11.63/2.65 % (2516127)------------------------------
% 11.63/2.65 % (2516127)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.63/2.65 % (2516127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.63/2.65 % (2516127)CaDiCaL version: 2.1.3
% 11.63/2.65 % (2516127)Termination reason: Instruction limit
% 11.63/2.65 % (2516127)Termination phase: Saturation
% 11.63/2.65 % (2516127)Time elapsed: 0.162 s
% 11.63/2.65 % (2516127)Peak memory usage: 91 MB
% 11.63/2.65 % (2516127)Instructions burned: 157 (million)
% 11.63/2.65 % (2516129)Instruction limit reached!
% 11.63/2.65 % (2516129)------------------------------
% 11.63/2.65 % (2516129)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.63/2.65 % (2516129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.63/2.65 % (2516129)CaDiCaL version: 2.1.3
% 11.63/2.65 % (2516129)Termination reason: Instruction limit
% 11.63/2.65 % (2516129)Termination phase: Saturation
% 11.63/2.65 % (2516129)Time elapsed: 0.101 s
% 11.63/2.65 % (2516129)Peak memory usage: 89 MB
% 11.63/2.65 % (2516129)Instructions burned: 107 (million)
% 11.63/2.65 % (2516082)First to succeed.
% 11.63/2.65 % (2516082)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2516023"
% 11.63/2.65 % (2516130)------------------------------
% 11.63/2.65 % (2516130)------------------------------
% 11.63/2.65 % (2516137)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1012465085:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2987 on theBenchmark for (2987ds/242Mi)
% 11.63/2.65 % (2516138)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3996134866:cond=fast:i=5208:av=off_2986 on theBenchmark for (2986ds/5208Mi)
% 11.63/2.65 % (2516139)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2104905313:i=134:sd=2:doe=on:ss=axioms:sgt=14_2986 on theBenchmark for (2986ds/134Mi)
% 11.63/2.65 % (2516139)Instruction limit reached!
% 11.63/2.65 % (2516139)------------------------------
% 11.63/2.65 % (2516139)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.63/2.65 % (2516139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.63/2.65 % (2516139)CaDiCaL version: 2.1.3
% 11.63/2.65 % (2516139)Termination reason: Instruction limit
% 11.63/2.65 % (2516139)Termination phase: Saturation
% 11.63/2.65 % (2516139)Time elapsed: 0.125 s
% 11.63/2.65 % (2516139)Peak memory usage: 89 MB
% 11.63/2.65 % (2516139)Instructions burned: 135 (million)
% 11.63/2.65 % (2516082)Refutation found. Thanks to Tanya!
% 11.63/2.65 % SZS status Unsatisfiable for theBenchmark
% 11.63/2.65 % SZS output start Proof for theBenchmark
% See solution above
% 13.05/2.89 % (2516082)------------------------------
% 13.05/2.89 % (2516082)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.05/2.89 % (2516082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.05/2.89 % (2516082)CaDiCaL version: 2.1.3
% 13.05/2.89 % (2516082)Termination reason: Refutation
% 13.05/2.89 % (2516082)Time elapsed: 1.206 s
% 13.05/2.89 % (2516082)Peak memory usage: 131 MB
% 13.05/2.89 % (2516082)Instructions burned: 1211 (million)
% 13.05/2.89 % (2516082)------------------------------
% 13.05/2.89 % (2516082)------------------------------
% 13.05/2.89 % (2516023)Success in time 1.785 s
% 13.05/2.89 % Vampire exiting
%------------------------------------------------------------------------------