%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL181-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 11:51:26 AM UTC 2026
% Result : Unsatisfiable 13.29s 2.90s
% Output : Refutation 13.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 19
% Syntax : Number of formulae : 78 ( 50 unt; 10 def)
% Number of atoms : 111 ( 17 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 : 6 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 10 con; 0-2 aty)
% Number of variables : 69 ( 0 sgn 69 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : axiom(implies(or(X0,X0),X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_2) ).
fof(f2,axiom,
! [X0,X1] : axiom(implies(X0,or(X1,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_3) ).
fof(f3,axiom,
! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',axiom_1_6) ).
fof(f6,axiom,
! [X0,X1] : implies(X0,X1) = or(not(X0),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',implies_definition) ).
fof(f7,axiom,
! [X0] :
( ~ axiom(X0)
| theorem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_1) ).
fof(f8,axiom,
! [X0,X1] :
( theorem(X0)
| ~ theorem(implies(X1,X0))
| ~ theorem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_2) ).
fof(f9,negated_conjecture,
~ theorem(implies(implies(not(p),q),implies(not(q),p))),
file('/export/starexec/sandbox2/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(not(not(p)),q)),or(not(not(q)),p))),
inference(definition_unfolding,[],[f9,f6,f6,f6]) ).
fof(f17,definition,
sF0 = not(p),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f18,plain,
not(p) = 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 = or(sF1,q),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f22,plain,
or(sF1,q) = sF2,
inference(reorient_equations,[],[f21]) ).
fof(f23,definition,
sF3 = not(sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f24,plain,
not(sF2) = sF3,
inference(reorient_equations,[],[f23]) ).
fof(f25,definition,
sF4 = not(q),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f26,plain,
not(q) = 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(sF5,p),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f30,plain,
or(sF5,p) = sF6,
inference(reorient_equations,[],[f29]) ).
fof(f31,definition,
sF7 = or(sF3,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f32,plain,
or(sF3,sF6) = sF7,
inference(reorient_equations,[],[f31]) ).
fof(f33,plain,
~ theorem(sF7),
inference(definition_folding,[],[f16,f32,f30,f28,f26,f24,f22,f20,f18]) ).
fof(f34,plain,
! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(resolution,[],[f14,f7]) ).
fof(f94,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,X2)))
| ~ theorem(or(not(X1),X2)) ),
inference(resolution,[],[f34,f15]) ).
fof(f109,plain,
! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(resolution,[],[f12,f7]) ).
fof(f117,plain,
! [X0,X1] :
( ~ theorem(or(X1,X0))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f109,f15]) ).
fof(f125,plain,
! [X0,X1] : theorem(or(not(X0),or(X1,X0))),
inference(resolution,[],[f11,f7]) ).
fof(f143,plain,
theorem(or(not(p),sF6)),
inference(superposition,[],[f125,f30]) ).
fof(f146,plain,
theorem(or(sF0,sF6)),
inference(forward_demodulation,[],[f143,f18]) ).
fof(f147,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(resolution,[],[f13,f7]) ).
fof(f154,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X2,X0)) ),
inference(resolution,[],[f94,f15]) ).
fof(f157,plain,
! [X0] :
( theorem(or(not(sF2),or(sF1,X0)))
| ~ theorem(or(not(q),X0)) ),
inference(superposition,[],[f94,f22]) ).
fof(f161,plain,
! [X0] :
( theorem(or(sF3,or(sF1,X0)))
| ~ theorem(or(not(q),X0)) ),
inference(forward_demodulation,[],[f157,f24]) ).
fof(f163,plain,
! [X0] :
( theorem(or(sF3,or(sF1,X0)))
| ~ theorem(or(sF4,X0)) ),
inference(forward_demodulation,[],[f161,f26]) ).
fof(f165,plain,
! [X2,X0,X1] :
( ~ theorem(or(X0,or(X2,X1)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f154,f109]) ).
fof(f167,plain,
! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X2)) ),
inference(resolution,[],[f154,f125]) ).
fof(f170,plain,
! [X0,X1] :
( ~ theorem(or(sF1,X0))
| theorem(or(X1,X0))
| ~ theorem(or(X1,sF0)) ),
inference(superposition,[],[f154,f20]) ).
fof(f176,plain,
! [X0,X1] : theorem(or(not(X0),or(X0,X1))),
inference(resolution,[],[f165,f125]) ).
fof(f186,plain,
! [X0] : theorem(or(not(or(sF3,or(X0,sF6))),or(X0,sF7))),
inference(superposition,[],[f147,f32]) ).
fof(f187,plain,
! [X0] : theorem(or(not(or(sF5,or(X0,p))),or(X0,sF6))),
inference(superposition,[],[f147,f30]) ).
fof(f198,plain,
! [X0] :
( ~ theorem(or(sF3,or(X0,sF6)))
| theorem(or(X0,sF7)) ),
inference(resolution,[],[f186,f15]) ).
fof(f202,plain,
! [X0] : theorem(or(not(or(X0,X0)),X0)),
inference(resolution,[],[f10,f7]) ).
fof(f222,plain,
! [X0] :
( ~ theorem(or(X0,X0))
| theorem(X0) ),
inference(resolution,[],[f202,f15]) ).
fof(f242,plain,
! [X0] : theorem(or(sF5,or(sF4,X0))),
inference(superposition,[],[f176,f28]) ).
fof(f247,plain,
! [X0] :
( ~ theorem(or(sF5,or(X0,p)))
| theorem(or(X0,sF6)) ),
inference(resolution,[],[f187,f15]) ).
fof(f281,plain,
! [X0] :
( ~ theorem(or(X0,sF6))
| theorem(or(X0,sF7)) ),
inference(superposition,[],[f167,f32]) ).
fof(f288,plain,
theorem(or(sF0,sF7)),
inference(resolution,[],[f146,f281]) ).
fof(f290,plain,
theorem(or(sF7,sF0)),
inference(resolution,[],[f288,f117]) ).
fof(f361,plain,
( ~ theorem(or(sF4,sF6))
| theorem(or(sF1,sF7)) ),
inference(resolution,[],[f163,f198]) ).
fof(f377,definition,
( spl8_15
<=> theorem(or(sF1,sF7)) ),
introduced(definition,[new_symbols(definition,[spl8_15])],[avatar_definition]) ).
fof(f379,plain,
( theorem(or(sF1,sF7))
| ~ spl8_15 ),
inference(avatar_component_clause,[],[f377]) ).
fof(f381,definition,
( spl8_16
<=> theorem(or(sF4,sF6)) ),
introduced(definition,[new_symbols(definition,[spl8_16])],[avatar_definition]) ).
fof(f383,plain,
( ~ theorem(or(sF4,sF6))
| spl8_16 ),
inference(avatar_component_clause,[],[f381]) ).
fof(f384,plain,
( spl8_15
| ~ spl8_16 ),
inference(avatar_split_clause,[],[f361,f381,f377]) ).
fof(f614,plain,
theorem(or(sF4,sF6)),
inference(resolution,[],[f242,f247]) ).
fof(f623,plain,
( $false
| spl8_16 ),
inference(forward_subsumption_resolution,[],[f614,f383]) ).
fof(f624,plain,
spl8_16,
inference(avatar_contradiction_clause,[],[f623]) ).
fof(f625,plain,
( ! [X0] :
( ~ theorem(or(X0,sF0))
| theorem(or(X0,sF7)) )
| ~ spl8_15 ),
inference(resolution,[],[f379,f170]) ).
fof(f630,plain,
( theorem(or(sF7,sF7))
| ~ spl8_15 ),
inference(resolution,[],[f625,f290]) ).
fof(f632,plain,
( theorem(sF7)
| ~ spl8_15 ),
inference(resolution,[],[f630,f222]) ).
fof(f634,plain,
( $false
| ~ spl8_15 ),
inference(forward_subsumption_resolution,[],[f632,f33]) ).
fof(f635,plain,
~ spl8_15,
inference(avatar_contradiction_clause,[],[f634]) ).
cnf(s8,plain,
( spl8_15
| ~ spl8_16 ),
inference(sat_conversion,[],[f384]) ).
cnf(s12,plain,
spl8_16,
inference(sat_conversion,[],[f624]) ).
cnf(s13,plain,
~ spl8_15,
inference(sat_conversion,[],[f635]) ).
cnf(s14,plain,
$false,
inference(rat,[],[s8,s12,s13]) ).
fof(f636,plain,
$false,
inference(avatar_sat_refutation,[],[s14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL181-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n004.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 15:25:07 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.53/2.68 % (3664919)Input is clausal, will run a generic CNF schedule.
% 11.53/2.68 % (3664989)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2018370870:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 11.53/2.68 % (3664986)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=32802466:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 11.53/2.68 % (3664991)lrs+10_1_sil=8000:sp=occurrence:random_seed=3837553654:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 11.53/2.68 % (3664994)dis-21_1_sil=8000:lcm=predicate:random_seed=2860863448: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)
% 11.53/2.68 % (3664987)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=316822167:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 11.53/2.68 % (3664993)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2061781575:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 11.53/2.68 % (3664992)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1089259857:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 11.53/2.68 % (3664992)Instruction limit reached!
% 11.53/2.68 % (3664992)------------------------------
% 11.53/2.68 % (3664992)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.53/2.68 % (3664992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.53/2.68 % (3664992)CaDiCaL version: 2.1.3
% 11.53/2.68 % (3664992)Termination reason: Instruction limit
% 11.53/2.68 % (3664992)Termination phase: Saturation
% 11.53/2.68 % (3664992)Time elapsed: 0.098 s
% 11.53/2.68 % (3664992)Peak memory usage: 87 MB
% 11.53/2.68 % (3664992)Instructions burned: 114 (million)
% 11.53/2.68 % (3664994)Instruction limit reached!
% 11.53/2.68 % (3664994)------------------------------
% 11.53/2.68 % (3664994)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.53/2.68 % (3664994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.53/2.68 % (3664994)CaDiCaL version: 2.1.3
% 11.53/2.68 % (3664994)Termination reason: Instruction limit
% 11.53/2.68 % (3664994)Termination phase: Saturation
% 11.53/2.68 % (3664994)Time elapsed: 0.100 s
% 11.53/2.68 % (3664994)Peak memory usage: 87 MB
% 11.53/2.68 % (3664994)Instructions burned: 117 (million)
% 11.53/2.68 % (3664991)Instruction limit reached!
% 11.53/2.68 % (3664991)------------------------------
% 11.53/2.68 % (3664991)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.53/2.68 % (3664991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.53/2.68 % (3664991)CaDiCaL version: 2.1.3
% 11.53/2.68 % (3664991)Termination reason: Instruction limit
% 11.53/2.68 % (3664991)Termination phase: Saturation
% 11.53/2.68 % (3664991)Time elapsed: 0.114 s
% 11.53/2.68 % (3664991)Peak memory usage: 89 MB
% 11.53/2.68 % (3664991)Instructions burned: 108 (million)
% 11.53/2.68 % (3664993)Instruction limit reached!
% 11.53/2.68 % (3664993)------------------------------
% 11.53/2.68 % (3664993)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.53/2.68 % (3664993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.53/2.68 % (3664993)CaDiCaL version: 2.1.3
% 11.53/2.68 % (3664993)Termination reason: Instruction limit
% 11.53/2.68 % (3664993)Termination phase: Saturation
% 11.53/2.68 % (3664993)Time elapsed: 0.200 s
% 11.53/2.68 % (3664993)Peak memory usage: 89 MB
% 11.53/2.68 % (3664993)Instructions burned: 181 (million)
% 11.53/2.68 % (3665043)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2946246043:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 11.53/2.68 % (3665042)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=1560569344:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 11.53/2.68 % (3665043)Refutation not found, incomplete strategy
% 11.53/2.68 % (3665043)------------------------------
% 11.53/2.68 % (3665043)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.53/2.68 % (3665042)Refutation not found, incomplete strategy
% 11.53/2.68 % (3665042)------------------------------
% 11.53/2.68 % (3665042)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.53/2.68 % (3665043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.53/2.68 % (3665042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.53/2.68 % (3665043)CaDiCaL version: 2.1.3
% 11.53/2.68 % (3665042)CaDiCaL version: 2.1.3
% 11.53/2.68 % (3665042)Termination reason: Refutation not found, incomplete strategy
% 11.53/2.68 % (3665042)Time elapsed: 0.002 s
% 11.53/2.68 % (3665043)Termination reason: Refutation not found, incomplete strategy
% 11.53/2.68 % (3665043)Time elapsed: 0.002 s
% 11.53/2.68 % (3665042)Peak memory usage: 87 MB
% 11.53/2.68 % (3665043)Peak memory usage: 87 MB
% 11.53/2.68 % (3665044)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=448600421:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 11.53/2.68 % (3665044)Refutation not found, incomplete strategy
% 11.53/2.68 % (3665044)------------------------------
% 11.53/2.68 % (3665044)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.53/2.68 % (3665044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.53/2.68 % (3665044)CaDiCaL version: 2.1.3
% 11.53/2.68 % (3665044)Termination reason: Refutation not found, incomplete strategy
% 11.53/2.68 % (3665044)Time elapsed: 0.001 s
% 11.53/2.68 % (3665044)Peak memory usage: 87 MB
% 11.53/2.68 % (3665048)lrs+10_64_to=lpo:sil=8000:random_seed=1476037490:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 11.53/2.68 % (3665048)Instruction limit reached!
% 11.53/2.68 % (3665048)------------------------------
% 11.53/2.68 % (3665048)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.53/2.68 % (3665048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.53/2.68 % (3665048)CaDiCaL version: 2.1.3
% 11.53/2.68 % (3665048)Termination reason: Instruction limit
% 11.53/2.68 % (3665048)Termination phase: Saturation
% 11.53/2.68 % (3665048)Time elapsed: 0.120 s
% 11.53/2.68 % (3665048)Peak memory usage: 89 MB
% 11.53/2.68 % (3665048)Instructions burned: 127 (million)
% 11.53/2.68 % (3665042)------------------------------
% 11.53/2.68 % (3665042)------------------------------
% 11.53/2.68 % (3665044)------------------------------
% 11.53/2.68 % (3665044)------------------------------
% 11.53/2.68 % (3665043)------------------------------
% 11.53/2.68 % (3665043)------------------------------
% 11.53/2.68 % (3665063)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3141905388:avsq=on:i=194:fgj=on:bd=preordered_2991 on theBenchmark for (2991ds/194Mi)
% 11.53/2.68 % (3665070)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2797334153:i=3394:sd=4:ss=included:sgt=64_2990 on theBenchmark for (2990ds/3394Mi)
% 11.53/2.68 % (3665067)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1390296100:i=157:gtg=all_2990 on theBenchmark for (2990ds/157Mi)
% 11.53/2.68 % (3665071)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=1747162453:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2990 on theBenchmark for (2990ds/106Mi)
% 11.53/2.68 % (3665063)Instruction limit reached!
% 11.53/2.68 % (3665063)------------------------------
% 11.53/2.68 % (3665063)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.53/2.68 % (3665063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.53/2.68 % (3665063)CaDiCaL version: 2.1.3
% 11.53/2.68 % (3665063)Termination reason: Instruction limit
% 11.53/2.68 % (3665063)Termination phase: Saturation
% 11.53/2.68 % (3665063)Time elapsed: 0.208 s
% 11.53/2.68 % (3665063)Peak memory usage: 90 MB
% 11.53/2.68 % (3665063)Instructions burned: 194 (million)
% 11.53/2.68 % (3665071)Instruction limit reached!
% 11.53/2.68 % (3665071)------------------------------
% 11.53/2.68 % (3665071)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.53/2.68 % (3665071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.53/2.68 % (3665071)CaDiCaL version: 2.1.3
% 11.53/2.68 % (3665071)Termination reason: Instruction limit
% 11.53/2.68 % (3665071)Termination phase: Saturation
% 11.53/2.68 % (3665071)Time elapsed: 0.099 s
% 11.53/2.68 % (3665071)Peak memory usage: 89 MB
% 11.53/2.68 % (3665071)Instructions burned: 107 (million)
% 11.53/2.68 % (3664986)First to succeed.
% 11.53/2.68 % (3664986)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3664919"
% 11.53/2.68 % (3665067)Instruction limit reached!
% 11.53/2.68 % (3665067)------------------------------
% 11.53/2.68 % (3665067)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.29/2.90 % (3665067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.29/2.90 % (3665067)CaDiCaL version: 2.1.3
% 13.29/2.90 % (3665067)Termination reason: Instruction limit
% 13.29/2.90 % (3665067)Termination phase: Saturation
% 13.29/2.90 % (3665067)Time elapsed: 0.174 s
% 13.29/2.90 % (3665067)Peak memory usage: 91 MB
% 13.29/2.90 % (3665067)Instructions burned: 157 (million)
% 13.29/2.90 % (3665083)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=219579549:i=107_2987 on theBenchmark for (2987ds/107Mi)
% 13.29/2.90 % (3665083)Refutation not found, incomplete strategy
% 13.29/2.90 % (3665083)------------------------------
% 13.29/2.90 % (3665083)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.29/2.90 % (3665083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.29/2.90 % (3665083)CaDiCaL version: 2.1.3
% 13.29/2.90 % (3665083)Termination reason: Refutation not found, incomplete strategy
% 13.29/2.90 % (3665083)Time elapsed: 0.002 s
% 13.29/2.90 % (3665083)Peak memory usage: 87 MB
% 13.29/2.90 % (3665084)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1764711154:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2986 on theBenchmark for (2986ds/242Mi)
% 13.29/2.90 % (3665085)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1317551176:cond=fast:i=5208:av=off_2985 on theBenchmark for (2985ds/5208Mi)
% 13.29/2.90 % (3664986)Refutation found. Thanks to Tanya!
% 13.29/2.90 % SZS status Unsatisfiable for theBenchmark
% 13.29/2.90 % SZS output start Proof for theBenchmark
% See solution above
% 13.42/2.90 % (3664986)------------------------------
% 13.42/2.90 % (3664986)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.42/2.90 % (3664986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.42/2.90 % (3664986)CaDiCaL version: 2.1.3
% 13.42/2.90 % (3664986)Termination reason: Refutation
% 13.42/2.90 % (3664986)Time elapsed: 1.182 s
% 13.42/2.90 % (3664986)Peak memory usage: 130 MB
% 13.42/2.90 % (3664986)Instructions burned: 1086 (million)
% 13.42/2.90 % (3664986)------------------------------
% 13.42/2.90 % (3664986)------------------------------
% 13.42/2.90 % (3664919)Success in time 1.799 s
% 13.42/2.90 % Vampire exiting
%------------------------------------------------------------------------------