%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL250-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n006.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 11:58:12 AM UTC 2026
% Result : Unsatisfiable 1.87s 0.87s
% Output : Refutation 1.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 40 ( 28 unt; 0 def)
% Number of atoms : 55 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 34 ( 19 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 75 ( 75 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : axiom(implies(or(X0,X0),X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_2) ).
fof(f2,axiom,
! [X0,X1] : axiom(implies(X0,or(X1,X0))),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_3) ).
fof(f3,axiom,
! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',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/Axioms/LCL004-0.ax',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/Axioms/LCL004-0.ax',axiom_1_6) ).
fof(f6,axiom,
! [X0,X1] : implies(X0,X1) = or(not(X0),X1),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',implies_definition) ).
fof(f7,axiom,
! [X0] :
( ~ axiom(X0)
| theorem(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',rule_1) ).
fof(f8,axiom,
! [X0,X1] :
( theorem(X0)
| ~ theorem(implies(X1,X0))
| ~ theorem(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',rule_2) ).
fof(f9,axiom,
! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-1.ax',and_defn) ).
fof(f10,negated_conjecture,
~ theorem(implies(implies(q,r),implies(and(p,q),r))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f11,plain,
! [X0] : axiom(or(not(or(X0,X0)),X0)),
inference(definition_unfolding,[],[f1,f6]) ).
fof(f12,plain,
! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
inference(definition_unfolding,[],[f2,f6]) ).
fof(f13,plain,
! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
inference(definition_unfolding,[],[f3,f6]) ).
fof(f14,plain,
! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(definition_unfolding,[],[f4,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,
! [X0,X1] :
( ~ theorem(or(not(X1),X0))
| theorem(X0)
| ~ theorem(X1) ),
inference(definition_unfolding,[],[f8,f6]) ).
fof(f17,plain,
~ theorem(or(not(or(not(q),r)),or(not(not(or(not(p),not(q)))),r))),
inference(definition_unfolding,[],[f10,f6,f6,f6,f9]) ).
fof(f18,plain,
! [X0] : theorem(or(not(or(X0,X0)),X0)),
inference(resolution,[],[f11,f7]) ).
fof(f19,plain,
! [X0,X1] : theorem(or(not(X0),or(X1,X0))),
inference(resolution,[],[f12,f7]) ).
fof(f20,plain,
! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(resolution,[],[f13,f7]) ).
fof(f21,plain,
! [X0] :
( ~ theorem(or(X0,X0))
| theorem(X0) ),
inference(resolution,[],[f16,f18]) ).
fof(f27,plain,
! [X0,X1] :
( ~ theorem(or(X1,X0))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f20,f16]) ).
fof(f80,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(resolution,[],[f14,f7]) ).
fof(f81,plain,
! [X2,X0,X1] :
( ~ theorem(or(X1,or(X0,X2)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f80,f16]) ).
fof(f85,plain,
! [X0,X1] : theorem(or(X0,or(not(X1),X1))),
inference(resolution,[],[f81,f19]) ).
fof(f91,plain,
! [X0] : theorem(or(not(X0),X0)),
inference(resolution,[],[f85,f21]) ).
fof(f129,plain,
! [X0] : theorem(or(X0,not(X0))),
inference(resolution,[],[f27,f91]) ).
fof(f334,plain,
! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(resolution,[],[f15,f7]) ).
fof(f649,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,X2)))
| ~ theorem(or(not(X1),X2)) ),
inference(resolution,[],[f334,f16]) ).
fof(f650,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,X1)),or(not(or(not(X1),X2)),or(X0,X2)))),
inference(resolution,[],[f334,f81]) ).
fof(f673,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X2,X0)) ),
inference(resolution,[],[f649,f16]) ).
fof(f1629,plain,
! [X2,X0,X1] :
( ~ theorem(or(X0,or(X2,X1)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f673,f20]) ).
fof(f1684,plain,
! [X0,X1] :
( theorem(or(X0,not(not(X1))))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f673,f129]) ).
fof(f1781,plain,
! [X0,X1] :
( theorem(or(not(not(X1)),X0))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f1684,f27]) ).
fof(f2419,plain,
! [X2,X0,X1] :
( theorem(or(not(or(not(X0),X1)),or(X2,X1)))
| ~ theorem(or(X2,X0)) ),
inference(resolution,[],[f650,f16]) ).
fof(f3264,plain,
! [X0,X1] : theorem(or(X0,or(X1,not(X1)))),
inference(resolution,[],[f1629,f85]) ).
fof(f3374,plain,
! [X0,X1] : theorem(or(X0,or(X1,not(X0)))),
inference(resolution,[],[f3264,f81]) ).
fof(f7074,plain,
~ theorem(or(not(not(or(not(p),not(q)))),q)),
inference(resolution,[],[f2419,f17]) ).
fof(f7086,plain,
~ theorem(or(q,or(not(p),not(q)))),
inference(resolution,[],[f7074,f1781]) ).
fof(f7092,plain,
$false,
inference(forward_subsumption_resolution,[],[f7086,f3374]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL250-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.17/0.43 % Computer : n006.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Sun Sep 27 15:30:10 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.17/0.47 Running first-order model finding
% 0.17/0.47 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.87/0.87 % (3105048)Will run a generic schedule for satisfiability detection.
% 1.87/0.87 % (3105054)% WARNING: option uhcvi not known.
% 1.87/0.87 % (3105054)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=976938133:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.87/0.87 % (3105053)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2235295191_2999 on theBenchmark for (2999ds/0Mi)
% 1.87/0.87 % (3105055)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1036685459:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.87/0.87 % (3105056)dis+10_1_sil=32000:sp=arity:random_seed=2181630581:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.87/0.87 % (3105057)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3409488735:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.87/0.87 % (3105058)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3498244494:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.87/0.87 % TRYING [1]
% 1.87/0.87 % TRYING [2]
% 1.87/0.87 % (3105059)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3964480889:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.87/0.87 % TRYING [3]
% 1.87/0.87 % TRYING [4]
% 1.87/0.87 % (3105057)Instruction limit reached!
% 1.87/0.87 % (3105057)------------------------------
% 1.87/0.87 % (3105057)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.87 % (3105057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.87 % (3105057)CaDiCaL version: 2.1.3
% 1.87/0.87 % (3105057)Termination reason: Instruction limit
% 1.87/0.87 % (3105057)Termination phase: Saturation
% 1.87/0.87 % (3105057)Time elapsed: 0.092 s
% 1.87/0.87 % (3105057)Peak memory usage: 11 MB
% 1.87/0.87 % (3105057)Instructions burned: 116 (million)
% 1.87/0.87 % (3105056)Instruction limit reached!
% 1.87/0.87 % (3105056)------------------------------
% 1.87/0.87 % (3105056)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.87 % (3105056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.87 % (3105056)CaDiCaL version: 2.1.3
% 1.87/0.87 % (3105056)Termination reason: Instruction limit
% 1.87/0.87 % (3105056)Termination phase: Saturation
% 1.87/0.87 % (3105056)Time elapsed: 0.104 s
% 1.87/0.87 % (3105056)Peak memory usage: 12 MB
% 1.87/0.87 % (3105056)Instructions burned: 103 (million)
% 1.87/0.87 % (3105059)Instruction limit reached!
% 1.87/0.87 % (3105059)------------------------------
% 1.87/0.87 % (3105059)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.87 % (3105059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.87 % (3105059)CaDiCaL version: 2.1.3
% 1.87/0.87 % (3105059)Termination reason: Instruction limit
% 1.87/0.87 % (3105059)Termination phase: Saturation
% 1.87/0.87 % (3105059)Time elapsed: 0.125 s
% 1.87/0.87 % (3105059)Peak memory usage: 12 MB
% 1.87/0.87 % (3105059)Instructions burned: 160 (million)
% 1.87/0.87 % (3105067)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1522039176:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 1.87/0.87 % (3105058)Instruction limit reached!
% 1.87/0.87 % (3105058)------------------------------
% 1.87/0.87 % (3105058)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.87 % (3105058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.87 % (3105058)CaDiCaL version: 2.1.3
% 1.87/0.87 % (3105058)Termination reason: Instruction limit
% 1.87/0.87 % (3105058)Termination phase: Saturation
% 1.87/0.87 % (3105058)Time elapsed: 0.131 s
% 1.87/0.87 % (3105058)Peak memory usage: 14 MB
% 1.87/0.87 % (3105058)Instructions burned: 131 (million)
% 1.87/0.87 % TRYING [1]
% 1.87/0.87 % TRYING [2]
% 1.87/0.87 % TRYING [3]
% 1.87/0.87 % (3105068)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2271627130:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.87/0.87 % TRYING [4]
% 1.87/0.87 % (3105070)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1313274169:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.87/0.87 % (3105071)ott-21_1_sil=16000:fs=off:random_seed=2064536723:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.87/0.87 % (3105068)Instruction limit reached!
% 1.87/0.87 % (3105068)------------------------------
% 1.87/0.87 % (3105068)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.87 % (3105068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.87 % (3105068)CaDiCaL version: 2.1.3
% 1.87/0.87 % (3105068)Termination reason: Instruction limit
% 1.87/0.87 % (3105068)Termination phase: Saturation
% 1.87/0.87 % (3105068)Time elapsed: 0.108 s
% 1.87/0.87 % (3105068)Peak memory usage: 12 MB
% 1.87/0.87 % (3105068)Instructions burned: 131 (million)
% 1.87/0.87 % (3105075)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1257659506:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 1.87/0.87 % (3105071)Instruction limit reached!
% 1.87/0.87 % (3105071)------------------------------
% 1.87/0.87 % (3105071)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.87 % (3105071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.87 % (3105071)CaDiCaL version: 2.1.3
% 1.87/0.87 % (3105071)Termination reason: Instruction limit
% 1.87/0.87 % (3105071)Termination phase: Saturation
% 1.87/0.87 % (3105071)Time elapsed: 0.154 s
% 1.87/0.87 % (3105071)Peak memory usage: 13 MB
% 1.87/0.87 % (3105071)Instructions burned: 180 (million)
% 1.87/0.87 % (3105070) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3105048-3105070"...
% 1.87/0.87 % (3105070)...printing done.
% 1.87/0.87 % (3105070)Refutation found. Thanks to Tanya!
% 1.87/0.87 % SZS status Unsatisfiable for theBenchmark
% 1.87/0.87 % SZS output start Proof for theBenchmark
% See solution above
% 1.87/0.87 % (3105070)------------------------------
% 1.87/0.87 % (3105070)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.87 % (3105070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.87 % (3105070)CaDiCaL version: 2.1.3
% 1.87/0.87 % (3105070)Termination reason: Refutation
% 1.87/0.87 % (3105070)Time elapsed: 0.176 s
% 1.87/0.87 % (3105070)Peak memory usage: 13 MB
% 1.87/0.87 % (3105070)Instructions burned: 188 (million)
% 1.87/0.87 % (3105048)Success in time 0.38 s
% 1.87/0.87 % Vampire exiting
%------------------------------------------------------------------------------