%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL197-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n017.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 11:57:57 AM UTC 2026
% Result : Unsatisfiable 0.49s 0.77s
% Output : Refutation 0.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 24 ( 17 unt; 0 def)
% Number of atoms : 33 ( 1 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 20 ( 11 ~; 9 |; 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 : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 52 ( 52 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : axiom(implies(or(X0,X0),X0)),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_2) ).
fof(f4,axiom,
! [X2,X0,X1] : axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_6) ).
fof(f6,axiom,
! [X0,X1] : implies(X0,X1) = or(not(X0),X1),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',implies_definition) ).
fof(f7,axiom,
! [X0] :
( ~ axiom(X0)
| theorem(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',rule_1) ).
fof(f8,axiom,
! [X0,X1] :
( theorem(X0)
| ~ theorem(implies(X1,X0))
| ~ theorem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',rule_2) ).
fof(f9,negated_conjecture,
~ theorem(implies(or(q,or(p,q)),or(p,q))),
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(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(X1)
| ~ theorem(or(not(X1),X0))
| theorem(X0) ),
inference(definition_unfolding,[],[f8,f6]) ).
fof(f16,plain,
~ theorem(or(not(or(q,or(p,q))),or(p,q))),
inference(definition_unfolding,[],[f9,f6]) ).
fof(f17,plain,
! [X0] : theorem(or(not(or(X0,X0)),X0)),
inference(resolution,[],[f10,f7]) ).
fof(f20,plain,
! [X0,X1] :
( ~ theorem(or(not(or(not(or(X0,X0)),X0)),X1))
| theorem(X1) ),
inference(resolution,[],[f15,f17]) ).
fof(f23,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(resolution,[],[f13,f7]) ).
fof(f26,plain,
! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(resolution,[],[f14,f7]) ).
fof(f30,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(not(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),X3))
| theorem(X3) ),
inference(resolution,[],[f23,f15]) ).
fof(f33,plain,
! [X0,X1] : theorem(or(not(or(X0,or(X1,X1))),or(X0,X1))),
inference(resolution,[],[f26,f20]) ).
fof(f34,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(not(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),X3))
| theorem(X3) ),
inference(resolution,[],[f26,f15]) ).
fof(f36,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(or(not(or(X0,or(X1,X1))),or(X0,X1))),X2))
| theorem(X2) ),
inference(resolution,[],[f33,f15]) ).
fof(f70,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,X1)),or(not(or(not(X1),X2)),or(X0,X2)))),
inference(resolution,[],[f34,f23]) ).
fof(f172,plain,
! [X2,X3,X0,X1] : theorem(or(not(or(not(or(X0,or(X1,X2))),X3)),or(not(or(X1,or(X0,X2))),X3))),
inference(resolution,[],[f70,f30]) ).
fof(f1275,plain,
! [X0,X1] : theorem(or(not(or(X0,or(X1,X0))),or(X1,X0))),
inference(resolution,[],[f172,f36]) ).
fof(f2179,plain,
$false,
inference(resolution,[],[f1275,f16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL197-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.20/0.48 % Computer : n017.cluster.edu
% 0.20/0.48 % Model : x86_64 x86_64
% 0.20/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.48 % Memory : 8046.5625MB
% 0.20/0.48 % OS : Linux 6.8.0-71-generic
% 0.20/0.48 % CPULimit : 300
% 0.20/0.48 % WCLimit : 300
% 0.20/0.48 % DateTime : Sun Sep 27 15:21:21 UTC 2026
% 0.20/0.48 % CPUTime :
% 0.20/0.48 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.25/0.54 Running first-order model finding
% 0.25/0.54 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.49/0.77 % (2725730)Will run a generic schedule for satisfiability detection.
% 0.49/0.77 % (2725738)dis+10_1_sil=32000:sp=arity:random_seed=1354632911:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.49/0.77 % (2725736)% WARNING: option uhcvi not known.
% 0.49/0.77 % (2725735)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3004679522_2999 on theBenchmark for (2999ds/0Mi)
% 0.49/0.77 % (2725737)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3057244449:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.49/0.77 % (2725739)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1350967983:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.49/0.77 % (2725736)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4266992177:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.49/0.77 % TRYING [1]
% 0.49/0.77 % TRYING [2]
% 0.49/0.77 % TRYING [3]
% 0.49/0.77 % (2725740)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1263349324:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.49/0.77 % (2725741)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1236921716:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.49/0.77 % TRYING [4]
% 0.49/0.77 % (2725738)Instruction limit reached!
% 0.49/0.77 % (2725738)------------------------------
% 0.49/0.77 % (2725738)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.77 % (2725738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.77 % (2725738)CaDiCaL version: 2.1.3
% 0.49/0.77 % (2725738)Termination reason: Instruction limit
% 0.49/0.77 % (2725738)Termination phase: Saturation
% 0.49/0.77 % (2725738)Time elapsed: 0.056 s
% 0.49/0.77 % (2725738)Peak memory usage: 12 MB
% 0.49/0.77 % (2725738)Instructions burned: 104 (million)
% 0.49/0.77 % (2725749)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=63231186:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 0.49/0.77 % TRYING [1]
% 0.49/0.77 % TRYING [2]
% 0.49/0.77 % TRYING [3]
% 0.49/0.77 % (2725739)Instruction limit reached!
% 0.49/0.77 % (2725739)------------------------------
% 0.49/0.77 % (2725739)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.77 % (2725739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.77 % (2725739)CaDiCaL version: 2.1.3
% 0.49/0.77 % (2725739)Termination reason: Instruction limit
% 0.49/0.77 % (2725739)Termination phase: Saturation
% 0.49/0.77 % (2725739)Time elapsed: 0.090 s
% 0.49/0.77 % (2725739)Peak memory usage: 11 MB
% 0.49/0.77 % (2725739)Instructions burned: 117 (million)
% 0.49/0.77 % TRYING [4]
% 0.49/0.77 % (2725751)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1023587296:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.49/0.77 % (2725740)Instruction limit reached!
% 0.49/0.77 % (2725740)------------------------------
% 0.49/0.77 % (2725740)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.77 % (2725740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.77 % (2725740)CaDiCaL version: 2.1.3
% 0.49/0.77 % (2725740)Termination reason: Instruction limit
% 0.49/0.77 % (2725740)Termination phase: Saturation
% 0.49/0.77 % (2725740)Time elapsed: 0.118 s
% 0.49/0.77 % (2725740)Peak memory usage: 14 MB
% 0.49/0.77 % (2725740)Instructions burned: 131 (million)
% 0.49/0.77 % TRYING [5]
% 0.49/0.77 % (2725753)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=4126690602:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.49/0.77 % (2725741)Instruction limit reached!
% 0.49/0.77 % (2725741)------------------------------
% 0.49/0.77 % (2725741)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.77 % (2725741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.77 % (2725741)CaDiCaL version: 2.1.3
% 0.49/0.77 % (2725741)Termination reason: Instruction limit
% 0.49/0.77 % (2725741)Termination phase: Saturation
% 0.49/0.77 % (2725741)Time elapsed: 0.137 s
% 0.49/0.77 % (2725741)Peak memory usage: 13 MB
% 0.49/0.77 % (2725741)Instructions burned: 159 (million)
% 0.49/0.77 % (2725751) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2725730-2725751"...
% 0.49/0.77 % (2725751)...printing done.
% 0.49/0.77 % (2725751)Refutation found. Thanks to Tanya!
% 0.49/0.77 % SZS status Unsatisfiable for theBenchmark
% 0.49/0.77 % SZS output start Proof for theBenchmark
% See solution above
% 0.49/0.77 % (2725751)------------------------------
% 0.49/0.77 % (2725751)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.77 % (2725751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.77 % (2725751)CaDiCaL version: 2.1.3
% 0.49/0.77 % (2725751)Termination reason: Refutation
% 0.49/0.77 % (2725751)Time elapsed: 0.038 s
% 0.49/0.77 % (2725751)Peak memory usage: 12 MB
% 0.49/0.77 % (2725751)Instructions burned: 61 (million)
% 0.49/0.77 % (2725730)Success in time 0.22 s
% 0.49/0.77 % Vampire exiting
%------------------------------------------------------------------------------