%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL234-1 : TPTP v9.3.1. Bugfixed 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 11:58:07 AM UTC 2026
% Result : Unsatisfiable 1.20s 0.60s
% Output : Refutation 1.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 30 ( 13 unt; 0 def)
% Number of atoms : 51 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 43 ( 22 ~; 21 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 71 ( 71 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : axiom(or(not(or(X0,X0)),X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL003-0.ax',axiom_1_2) ).
fof(f2,axiom,
! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL003-0.ax',axiom_1_3) ).
fof(f3,axiom,
! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL003-0.ax',axiom_1_4) ).
fof(f4,axiom,
! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL003-0.ax',axiom_1_5) ).
fof(f5,axiom,
! [X2,X0,X1] : axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL003-0.ax',axiom_1_6) ).
fof(f6,axiom,
! [X0] :
( ~ axiom(X0)
| theorem(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL003-0.ax',rule_1) ).
fof(f7,axiom,
! [X0,X1] :
( ~ axiom(or(not(X1),X0))
| theorem(X0)
| ~ theorem(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL003-0.ax',rule_2) ).
fof(f8,axiom,
! [X2,X0,X1] :
( ~ theorem(or(not(X2),X1))
| ~ axiom(or(not(X0),X2))
| theorem(or(not(X0),X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL003-0.ax',rule_3) ).
fof(f9,negated_conjecture,
~ theorem(or(not(p),or(not(q),not(or(not(p),not(q)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f10,plain,
! [X0] : theorem(or(not(or(X0,X0)),X0)),
inference(resolution,[],[f1,f6]) ).
fof(f13,plain,
! [X0] :
( ~ theorem(or(X0,X0))
| theorem(X0) ),
inference(resolution,[],[f7,f1]) ).
fof(f14,plain,
! [X0,X1] :
( ~ theorem(or(X1,X0))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f7,f3]) ).
fof(f15,plain,
! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X1) ),
inference(resolution,[],[f7,f2]) ).
fof(f16,plain,
! [X2,X0,X1] :
( ~ theorem(or(X1,or(X0,X2)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f4,f7]) ).
fof(f18,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,X2)))
| ~ theorem(or(not(X1),X2)) ),
inference(resolution,[],[f5,f7]) ).
fof(f20,plain,
! [X0,X1] :
( ~ axiom(or(not(X0),or(X1,X1)))
| theorem(or(not(X0),X1)) ),
inference(resolution,[],[f8,f10]) ).
fof(f34,plain,
! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X2)) ),
inference(resolution,[],[f16,f15]) ).
fof(f46,plain,
! [X2,X3,X0,X1] :
( ~ axiom(or(not(X2),or(X3,X0)))
| ~ theorem(or(not(X0),X1))
| theorem(or(not(X2),or(X3,X1))) ),
inference(resolution,[],[f18,f8]) ).
fof(f74,plain,
! [X0,X1] :
( ~ theorem(or(or(X0,X1),X1))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f34,f13]) ).
fof(f78,plain,
! [X0,X1] : theorem(or(not(or(X0,or(or(X0,X1),X1))),or(X0,X1))),
inference(resolution,[],[f20,f4]) ).
fof(f126,plain,
! [X2,X3,X0,X1] :
( theorem(or(not(or(X0,or(X3,X1))),or(X3,X2)))
| ~ theorem(or(not(or(X0,X1)),X2)) ),
inference(resolution,[],[f46,f4]) ).
fof(f208,plain,
! [X2,X0,X1] :
( ~ theorem(or(or(X0,or(X1,X2)),X2))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f74,f34]) ).
fof(f295,plain,
! [X2,X0,X1] :
( ~ axiom(or(not(X0),or(X1,or(or(X1,X2),X2))))
| theorem(or(not(X0),or(X1,X2))) ),
inference(resolution,[],[f78,f8]) ).
fof(f450,plain,
! [X2,X3,X0,X1,X4] :
( ~ axiom(or(not(X3),or(X0,or(X4,X1))))
| ~ theorem(or(not(or(X0,X1)),X2))
| theorem(or(not(X3),or(X4,X2))) ),
inference(resolution,[],[f126,f8]) ).
fof(f1468,plain,
! [X0,X1] : theorem(or(not(or(or(or(X0,X1),X1),X0)),or(X0,X1))),
inference(resolution,[],[f295,f3]) ).
fof(f2067,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(not(or(X0,X1)),X2))
| theorem(or(not(or(X3,X1)),or(X3,X2))) ),
inference(resolution,[],[f450,f2]) ).
fof(f6052,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,X1)),or(X0,or(X1,X2)))),
inference(resolution,[],[f2067,f1468]) ).
fof(f6355,plain,
! [X2,X0,X1] : theorem(or(or(X0,or(X1,X2)),not(or(X0,X1)))),
inference(resolution,[],[f6052,f14]) ).
fof(f7026,plain,
! [X0,X1] : theorem(or(X0,or(X1,not(or(X0,X1))))),
inference(resolution,[],[f6355,f208]) ).
fof(f7029,plain,
$false,
inference(backward_subsumption_resolution,[],[f9,f7026]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL234-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.37 % Computer : n006.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 15:28:10 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 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
% 1.20/0.60 % (3101155)Will run a generic schedule for satisfiability detection.
% 1.20/0.60 % (3101165)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=141329696:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.20/0.60 % (3101161)% WARNING: option uhcvi not known.
% 1.20/0.60 % (3101161)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=798607083:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.20/0.60 % (3101160)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=484978698_2999 on theBenchmark for (2999ds/0Mi)
% 1.20/0.60 % (3101162)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=792345570:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.20/0.60 % (3101164)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1779730006:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.20/0.60 % (3101163)dis+10_1_sil=32000:sp=arity:random_seed=2158702959:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.20/0.60 % TRYING [1]
% 1.20/0.60 % TRYING [2]
% 1.20/0.60 % TRYING [3]
% 1.20/0.60 % (3101166)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1289531947:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.20/0.60 % TRYING [4]
% 1.20/0.60 % (3101165)Instruction limit reached!
% 1.20/0.60 % (3101165)------------------------------
% 1.20/0.60 % (3101165)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.20/0.60 % (3101165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.20/0.60 % (3101165)CaDiCaL version: 2.1.3
% 1.20/0.60 % (3101165)Termination reason: Instruction limit
% 1.20/0.60 % (3101165)Termination phase: Saturation
% 1.20/0.60 % (3101165)Time elapsed: 0.048 s
% 1.20/0.60 % (3101165)Peak memory usage: 13 MB
% 1.20/0.60 % (3101165)Instructions burned: 132 (million)
% 1.20/0.60 % (3101174)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=272554911:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.20/0.60 % TRYING [1]
% 1.20/0.60 % TRYING [2]
% 1.20/0.60 % TRYING [3]
% 1.20/0.60 % (3101164)Instruction limit reached!
% 1.20/0.60 % (3101164)------------------------------
% 1.20/0.60 % (3101164)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.20/0.60 % (3101164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.20/0.60 % (3101164)CaDiCaL version: 2.1.3
% 1.20/0.60 % (3101164)Termination reason: Instruction limit
% 1.20/0.60 % (3101164)Termination phase: Saturation
% 1.20/0.60 % (3101164)Time elapsed: 0.055 s
% 1.20/0.60 % (3101164)Peak memory usage: 11 MB
% 1.20/0.60 % (3101164)Instructions burned: 117 (million)
% 1.20/0.60 % (3101163)Instruction limit reached!
% 1.20/0.60 % (3101163)------------------------------
% 1.20/0.60 % (3101163)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.20/0.60 % (3101163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.20/0.60 % (3101163)CaDiCaL version: 2.1.3
% 1.20/0.60 % (3101163)Termination reason: Instruction limit
% 1.20/0.60 % (3101163)Termination phase: Saturation
% 1.20/0.60 % (3101163)Time elapsed: 0.062 s
% 1.20/0.60 % (3101163)Peak memory usage: 11 MB
% 1.20/0.60 % (3101163)Instructions burned: 104 (million)
% 1.20/0.60 % TRYING [4]
% 1.20/0.60 % (3101176)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1943132986:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.20/0.60 % (3101177)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=3826469120:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 1.20/0.60 % (3101166)Instruction limit reached!
% 1.20/0.60 % (3101166)------------------------------
% 1.20/0.60 % (3101166)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.20/0.60 % (3101166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.20/0.60 % (3101166)CaDiCaL version: 2.1.3
% 1.20/0.60 % (3101166)Termination reason: Instruction limit
% 1.20/0.60 % (3101166)Termination phase: Saturation
% 1.20/0.60 % (3101166)Time elapsed: 0.107 s
% 1.20/0.60 % (3101166)Peak memory usage: 13 MB
% 1.20/0.60 % (3101166)Instructions burned: 160 (million)
% 1.20/0.60 % (3101180)ott-21_1_sil=16000:fs=off:random_seed=1854640549:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.20/0.60 % (3101161) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3101155-3101161"...
% 1.20/0.60 % (3101161)...printing done.
% 1.20/0.60 % (3101161)Refutation found. Thanks to Tanya!
% 1.20/0.60 % SZS status Unsatisfiable for theBenchmark
% 1.20/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 1.20/0.61 % (3101161)------------------------------
% 1.20/0.61 % (3101161)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.20/0.61 % (3101161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.20/0.61 % (3101161)CaDiCaL version: 2.1.3
% 1.20/0.61 % (3101161)Termination reason: Refutation
% 1.20/0.61 % (3101161)Time elapsed: 0.152 s
% 1.20/0.61 % (3101161)Peak memory usage: 13 MB
% 1.20/0.61 % (3101161)Instructions burned: 247 (million)
% 1.20/0.61 % (3101155)Success in time 0.189 s
% 1.20/0.61 % Vampire exiting
%------------------------------------------------------------------------------