%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL208-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 11:58:00 AM UTC 2026
% Result : Unsatisfiable 4.27s 1.18s
% Output : Refutation 4.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 9
% Syntax : Number of formulae : 33 ( 20 unt; 0 def)
% Number of atoms : 50 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 37 ( 20 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 7 ( 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 : 39 ( 39 !; 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] :
( theorem(X0)
| ~ axiom(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL003-0.ax',rule_1) ).
fof(f7,axiom,
! [X0,X1] :
( theorem(X0)
| ~ axiom(or(not(X1),X0))
| ~ theorem(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL003-0.ax',rule_2) ).
fof(f8,axiom,
! [X2,X0,X1] :
( theorem(or(not(X0),X1))
| ~ axiom(or(not(X0),X2))
| ~ theorem(or(not(X2),X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL003-0.ax',rule_3) ).
fof(f9,negated_conjecture,
~ theorem(or(not(or(p,q)),or(not(not(p)),q))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f10,plain,
! [X0] :
( ~ axiom(X0)
| ~ theorem(X0) ),
inference(consistent_polarity_flipping,[],[f6]) ).
fof(f11,plain,
! [X0,X1] :
( ~ axiom(or(not(X1),X0))
| ~ theorem(X0)
| theorem(X1) ),
inference(consistent_polarity_flipping,[],[f7]) ).
fof(f12,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| ~ axiom(or(not(X0),X2))
| theorem(or(not(X2),X1)) ),
inference(consistent_polarity_flipping,[],[f8]) ).
fof(f13,plain,
theorem(or(not(or(p,q)),or(not(not(p)),q))),
inference(consistent_polarity_flipping,[],[f9]) ).
fof(f16,plain,
! [X0,X1] : ~ theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(resolution,[],[f3,f10]) ).
fof(f17,plain,
! [X0] :
( ~ theorem(X0)
| theorem(or(X0,X0)) ),
inference(resolution,[],[f11,f1]) ).
fof(f18,plain,
! [X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X1,X0)) ),
inference(resolution,[],[f11,f3]) ).
fof(f19,plain,
! [X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(X1) ),
inference(resolution,[],[f11,f2]) ).
fof(f21,plain,
! [X2,X0,X1] :
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(X1,or(X0,X2))) ),
inference(resolution,[],[f4,f11]) ).
fof(f30,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(or(X0,X1)),or(X0,X2)))
| theorem(or(not(X1),X2)) ),
inference(resolution,[],[f5,f11]) ).
fof(f61,plain,
! [X0] :
( ~ axiom(or(not(or(p,q)),X0))
| theorem(or(not(X0),or(not(not(p)),q))) ),
inference(resolution,[],[f12,f13]) ).
fof(f71,plain,
theorem(or(not(or(q,p)),or(not(not(p)),q))),
inference(resolution,[],[f61,f3]) ).
fof(f84,plain,
theorem(or(or(not(or(q,p)),or(not(not(p)),q)),or(not(or(q,p)),or(not(not(p)),q)))),
inference(resolution,[],[f71,f17]) ).
fof(f760,plain,
theorem(or(not(or(q,p)),or(or(not(or(q,p)),or(not(not(p)),q)),or(not(not(p)),q)))),
inference(resolution,[],[f84,f21]) ).
fof(f1095,plain,
theorem(or(or(not(or(q,p)),or(not(not(p)),q)),or(not(not(p)),q))),
inference(resolution,[],[f760,f19]) ).
fof(f2042,plain,
theorem(or(not(not(p)),or(or(not(or(q,p)),or(not(not(p)),q)),q))),
inference(resolution,[],[f1095,f21]) ).
fof(f4354,plain,
theorem(or(or(not(or(q,p)),or(not(not(p)),q)),q)),
inference(resolution,[],[f2042,f19]) ).
fof(f4356,plain,
theorem(or(q,or(not(or(q,p)),or(not(not(p)),q)))),
inference(resolution,[],[f4354,f18]) ).
fof(f4359,plain,
theorem(or(not(or(q,p)),or(q,or(not(not(p)),q)))),
inference(resolution,[],[f4356,f21]) ).
fof(f4363,plain,
theorem(or(not(p),or(not(not(p)),q))),
inference(resolution,[],[f4359,f30]) ).
fof(f4370,plain,
theorem(or(not(not(p)),or(not(p),q))),
inference(resolution,[],[f4363,f21]) ).
fof(f4374,plain,
! [X0] :
( ~ axiom(or(not(not(p)),X0))
| theorem(or(not(X0),or(not(p),q))) ),
inference(resolution,[],[f4370,f12]) ).
fof(f4406,plain,
! [X0] : theorem(or(not(or(X0,not(p))),or(not(p),q))),
inference(resolution,[],[f4374,f2]) ).
fof(f4407,plain,
$false,
inference(resolution,[],[f4406,f16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL208-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.19/0.46 % Computer : n017.cluster.edu
% 0.19/0.46 % Model : x86_64 x86_64
% 0.19/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.46 % Memory : 8046.5625MB
% 0.19/0.46 % OS : Linux 6.8.0-71-generic
% 0.19/0.46 % CPULimit : 300
% 0.19/0.46 % WCLimit : 300
% 0.19/0.46 % DateTime : Sun Sep 27 15:22:20 UTC 2026
% 0.19/0.46 % CPUTime :
% 0.19/0.46 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.24/0.49 Running first-order model finding
% 0.24/0.49 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
% 4.27/1.18 % (2728237)Will run a generic schedule for satisfiability detection.
% 4.27/1.18 % (2728247)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4243241580_2999 on theBenchmark for (2999ds/0Mi)
% 4.27/1.18 % TRYING [1]
% 4.27/1.18 % TRYING [2]
% 4.27/1.18 % TRYING [3]
% 4.27/1.18 % (2728248)% WARNING: option uhcvi not known.
% 4.27/1.18 % (2728248)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1078904823:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.27/1.18 % (2728249)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1036404741:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.27/1.18 % (2728251)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3411151959:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.27/1.18 % (2728252)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1941655884:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.27/1.18 % (2728250)dis+10_1_sil=32000:sp=arity:random_seed=609768542:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.27/1.18 % (2728253)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2268997473:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.27/1.18 % TRYING [4]
% 4.27/1.18 % (2728251)Instruction limit reached!
% 4.27/1.18 % (2728251)------------------------------
% 4.27/1.18 % (2728251)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.27/1.18 % (2728251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.27/1.18 % (2728251)CaDiCaL version: 2.1.3
% 4.27/1.18 % (2728251)Termination reason: Instruction limit
% 4.27/1.18 % (2728251)Termination phase: Saturation
% 4.27/1.18 % (2728251)Time elapsed: 0.056 s
% 4.27/1.18 % (2728251)Peak memory usage: 11 MB
% 4.27/1.18 % (2728251)Instructions burned: 117 (million)
% 4.27/1.18 % (2728250)Instruction limit reached!
% 4.27/1.18 % (2728250)------------------------------
% 4.27/1.18 % (2728250)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.27/1.18 % (2728250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.27/1.18 % (2728250)CaDiCaL version: 2.1.3
% 4.27/1.18 % (2728250)Termination reason: Instruction limit
% 4.27/1.18 % (2728250)Termination phase: Saturation
% 4.27/1.18 % (2728250)Time elapsed: 0.061 s
% 4.27/1.18 % (2728250)Peak memory usage: 11 MB
% 4.27/1.18 % (2728250)Instructions burned: 104 (million)
% 4.27/1.18 % (2728293)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3025946451:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 4.27/1.18 % TRYING [1]
% 4.27/1.18 % TRYING [2]
% 4.27/1.18 % TRYING [3]
% 4.27/1.18 % (2728296)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2736811941:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 4.27/1.18 % (2728252)Instruction limit reached!
% 4.27/1.18 % (2728252)------------------------------
% 4.27/1.18 % (2728252)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.27/1.18 % (2728252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.27/1.18 % (2728252)CaDiCaL version: 2.1.3
% 4.27/1.18 % (2728252)Termination reason: Instruction limit
% 4.27/1.18 % (2728252)Termination phase: Saturation
% 4.27/1.18 % (2728252)Time elapsed: 0.097 s
% 4.27/1.18 % (2728252)Peak memory usage: 12 MB
% 4.27/1.18 % (2728252)Instructions burned: 132 (million)
% 4.27/1.18 % (2728253)Instruction limit reached!
% 4.27/1.18 % (2728253)------------------------------
% 4.27/1.18 % (2728253)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.27/1.18 % (2728253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.27/1.18 % (2728253)CaDiCaL version: 2.1.3
% 4.27/1.18 % (2728253)Termination reason: Instruction limit
% 4.27/1.18 % (2728253)Termination phase: Saturation
% 4.27/1.18 % (2728253)Time elapsed: 0.097 s
% 4.27/1.18 % (2728253)Peak memory usage: 12 MB
% 4.27/1.18 % (2728253)Instructions burned: 159 (million)
% 4.27/1.18 % TRYING [4]
% 4.27/1.18 % (2728310)ott-21_1_sil=16000:fs=off:random_seed=1943749740:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 4.27/1.18 % (2728308)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=37088430:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 4.27/1.18 % (2728296)Instruction limit reached!
% 4.27/1.18 % (2728296)------------------------------
% 4.27/1.18 % (2728296)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.27/1.18 % (2728296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.27/1.18 % (2728296)CaDiCaL version: 2.1.3
% 4.27/1.18 % (2728296)Termination reason: Instruction limit
% 4.27/1.18 % (2728296)Termination phase: Saturation
% 4.27/1.18 % (2728296)Time elapsed: 0.089 s
% 4.27/1.18 % (2728296)Peak memory usage: 12 MB
% 4.27/1.18 % (2728296)Instructions burned: 132 (million)
% 4.27/1.18 % (2728337)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1112635112:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 4.27/1.18 % (2728310)Instruction limit reached!
% 4.27/1.18 % (2728310)------------------------------
% 4.27/1.18 % (2728310)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.27/1.18 % (2728310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.27/1.18 % (2728310)CaDiCaL version: 2.1.3
% 4.27/1.18 % (2728310)Termination reason: Instruction limit
% 4.27/1.18 % (2728310)Termination phase: Saturation
% 4.27/1.18 % (2728310)Time elapsed: 0.099 s
% 4.27/1.18 % (2728310)Peak memory usage: 12 MB
% 4.27/1.18 % (2728310)Instructions burned: 181 (million)
% 4.27/1.18 % TRYING [5]
% 4.27/1.18 % (2728353)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=954966738:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 4.27/1.18 % TRYING [1]
% 4.27/1.18 % TRYING [2]
% 4.27/1.18 % TRYING [3]
% 4.27/1.18 % TRYING [4]
% 4.27/1.18 % TRYING [5]
% 4.27/1.18 % (2728337)Instruction limit reached!
% 4.27/1.18 % (2728337)------------------------------
% 4.27/1.18 % (2728337)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.27/1.18 % (2728337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.27/1.18 % (2728337)CaDiCaL version: 2.1.3
% 4.27/1.18 % (2728337)Termination reason: Instruction limit
% 4.27/1.18 % (2728337)Termination phase: Saturation
% 4.27/1.18 % (2728337)Time elapsed: 0.283 s
% 4.27/1.18 % (2728337)Peak memory usage: 14 MB
% 4.27/1.18 % (2728337)Instructions burned: 478 (million)
% 4.27/1.18 % TRYING [5]
% 4.27/1.18 % (2728293)Instruction limit reached!
% 4.27/1.18 % (2728293)------------------------------
% 4.27/1.18 % (2728293)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.27/1.18 % (2728293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.27/1.18 % (2728293)CaDiCaL version: 2.1.3
% 4.27/1.18 % (2728293)Termination reason: Instruction limit
% 4.27/1.18 % (2728293)Termination phase: Finite model building constraint generation
% 4.27/1.18 % (2728293)Time elapsed: 0.411 s
% 4.27/1.18 % (2728293)Peak memory usage: 13 MB
% 4.27/1.18 % (2728293)Instructions burned: 716 (million)
% 4.27/1.18 % (2728420)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1322058184:i=1179_2994 on theBenchmark for (2994ds/1179Mi)
% 4.27/1.18 % (2728421)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1427136156:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 4.27/1.18 % (2728308)Instruction limit reached!
% 4.27/1.18 % (2728308)------------------------------
% 4.27/1.18 % (2728308)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.27/1.18 % (2728308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.27/1.18 % (2728308)CaDiCaL version: 2.1.3
% 4.27/1.18 % (2728308)Termination reason: Instruction limit
% 4.27/1.18 % (2728308)Termination phase: Saturation
% 4.27/1.18 % (2728308)Time elapsed: 0.392 s
% 4.27/1.18 % (2728308)Peak memory usage: 17 MB
% 4.27/1.18 % (2728308)Instructions burned: 684 (million)
% 4.27/1.18 % (2728424)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2192340810:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 4.27/1.18 % TRYING [14]
% 4.27/1.18 % (2728424) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2728237-2728424"...
% 4.27/1.18 % (2728424)...printing done.
% 4.27/1.18 % (2728424)Refutation found. Thanks to Tanya!
% 4.27/1.18 % SZS status Unsatisfiable for theBenchmark
% 4.27/1.18 % SZS output start Proof for theBenchmark
% See solution above
% 4.27/1.18 % (2728424)------------------------------
% 4.27/1.18 % (2728424)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.27/1.18 % (2728424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.27/1.18 % (2728424)CaDiCaL version: 2.1.3
% 4.27/1.18 % (2728424)Termination reason: Refutation
% 4.27/1.18 % (2728424)Time elapsed: 0.113 s
% 4.27/1.18 % (2728424)Peak memory usage: 14 MB
% 4.27/1.18 % (2728424)Instructions burned: 175 (million)
% 4.27/1.18 % (2728237)Success in time 0.681 s
% 4.27/1.18 % Vampire exiting
%------------------------------------------------------------------------------