%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL206-3 : TPTP v9.3.1. Bugfixed v2.4.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n001.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 11:57:59 AM UTC 2026
% Result : Unsatisfiable 0.17s 0.58s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 38 ( 24 unt; 0 def)
% Number of atoms : 56 ( 1 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 40 ( 22 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 6 ( 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 : 72 ( 72 !; 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(f2,axiom,
! [X0,X1] : axiom(implies(X0,or(X1,X0))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_3) ).
fof(f3,axiom,
! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))),
file('/export/starexec/sandbox/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/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(not(implies(p,q)),implies(not(p),not(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(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(not(or(not(p),q))),or(not(not(p)),not(q)))),
inference(definition_unfolding,[],[f9,f6,f6,f6]) ).
fof(f17,plain,
! [X0] : theorem(or(not(or(X0,X0)),X0)),
inference(resolution,[],[f10,f7]) ).
fof(f18,plain,
! [X0,X1] : theorem(or(not(X0),or(X1,X0))),
inference(resolution,[],[f11,f7]) ).
fof(f19,plain,
! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(resolution,[],[f12,f7]) ).
fof(f20,plain,
! [X0] :
( ~ theorem(or(X0,X0))
| theorem(X0) ),
inference(resolution,[],[f15,f17]) ).
fof(f21,plain,
! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X1) ),
inference(resolution,[],[f15,f18]) ).
fof(f26,plain,
! [X0,X1] :
( ~ theorem(or(X1,X0))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f19,f15]) ).
fof(f79,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(resolution,[],[f13,f7]) ).
fof(f80,plain,
! [X2,X0,X1] :
( ~ theorem(or(X1,or(X0,X2)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f79,f15]) ).
fof(f83,plain,
! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X2)) ),
inference(resolution,[],[f80,f21]) ).
fof(f84,plain,
! [X0,X1] : theorem(or(X0,or(not(X1),X1))),
inference(resolution,[],[f80,f18]) ).
fof(f90,plain,
! [X0] : theorem(or(not(X0),X0)),
inference(resolution,[],[f84,f20]) ).
fof(f132,plain,
! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(resolution,[],[f14,f7]) ).
fof(f134,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,X2)))
| ~ theorem(or(not(X1),X2)) ),
inference(resolution,[],[f132,f15]) ).
fof(f140,plain,
! [X0] : theorem(or(X0,not(X0))),
inference(resolution,[],[f26,f90]) ).
fof(f194,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(X0) ),
inference(resolution,[],[f83,f15]) ).
fof(f269,plain,
! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X2,X1)) ),
inference(resolution,[],[f194,f19]) ).
fof(f322,plain,
! [X2,X0,X1] :
( theorem(or(X1,or(X2,X0)))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f269,f80]) ).
fof(f332,plain,
~ theorem(or(not(q),not(not(or(not(p),q))))),
inference(resolution,[],[f322,f16]) ).
fof(f406,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X2,X0)) ),
inference(resolution,[],[f134,f15]) ).
fof(f1685,plain,
! [X0,X1] :
( theorem(or(X0,not(not(X1))))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f406,f140]) ).
fof(f1783,plain,
~ theorem(or(not(q),or(not(p),q))),
inference(resolution,[],[f1685,f332]) ).
fof(f1794,plain,
$false,
inference(forward_subsumption_resolution,[],[f1783,f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL206-3 : TPTP v9.3.1. Bugfixed v2.4.1.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.38 % Computer : n001.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sun Sep 27 15:33:01 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.42 Running first-order model finding
% 0.13/0.42 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
% 0.17/0.58 % (3720286)Will run a generic schedule for satisfiability detection.
% 0.17/0.58 % (3720296)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2910659718:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.58 % (3720292)% WARNING: option uhcvi not known.
% 0.17/0.58 % (3720292)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=713441962:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.58 % (3720291)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3613156444_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.58 % (3720295)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=694187137:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.58 % (3720293)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=371897935:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.58 % (3720294)dis+10_1_sil=32000:sp=arity:random_seed=4115621564:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.58 % (3720297)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2506058220:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.58 % TRYING [1]
% 0.17/0.58 % TRYING [2]
% 0.17/0.58 % TRYING [3]
% 0.17/0.58 % TRYING [4]
% 0.17/0.58 % (3720296)Instruction limit reached!
% 0.17/0.58 % (3720296)------------------------------
% 0.17/0.58 % (3720296)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.58 % (3720296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.58 % (3720296)CaDiCaL version: 2.1.3
% 0.17/0.58 % (3720296)Termination reason: Instruction limit
% 0.17/0.58 % (3720296)Termination phase: Saturation
% 0.17/0.58 % (3720296)Time elapsed: 0.044 s
% 0.17/0.58 % (3720296)Peak memory usage: 14 MB
% 0.17/0.58 % (3720296)Instructions burned: 132 (million)
% 0.17/0.58 % (3720305)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3104520081:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.17/0.58 % TRYING [1]
% 0.17/0.58 % TRYING [2]
% 0.17/0.58 % TRYING [3]
% 0.17/0.58 % (3720295)Instruction limit reached!
% 0.17/0.58 % (3720295)------------------------------
% 0.17/0.58 % (3720295)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.58 % (3720295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.58 % (3720295)CaDiCaL version: 2.1.3
% 0.17/0.58 % (3720295)Termination reason: Instruction limit
% 0.17/0.58 % (3720295)Termination phase: Saturation
% 0.17/0.58 % (3720295)Time elapsed: 0.053 s
% 0.17/0.58 % (3720295)Peak memory usage: 11 MB
% 0.17/0.58 % (3720295)Instructions burned: 116 (million)
% 0.17/0.58 % TRYING [4]
% 0.17/0.58 % (3720294)Instruction limit reached!
% 0.17/0.58 % (3720294)------------------------------
% 0.17/0.58 % (3720294)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.58 % (3720294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.58 % (3720294)CaDiCaL version: 2.1.3
% 0.17/0.58 % (3720294)Termination reason: Instruction limit
% 0.17/0.58 % (3720294)Termination phase: Saturation
% 0.17/0.58 % (3720294)Time elapsed: 0.065 s
% 0.17/0.58 % (3720294)Peak memory usage: 12 MB
% 0.17/0.58 % (3720294)Instructions burned: 104 (million)
% 0.17/0.58 % (3720307)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1608609642:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.58 % (3720308)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=1001290781:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 0.17/0.58 % (3720297)Instruction limit reached!
% 0.17/0.58 % (3720297)------------------------------
% 0.17/0.58 % (3720297)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.58 % (3720297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.58 % (3720297)CaDiCaL version: 2.1.3
% 0.17/0.58 % (3720297)Termination reason: Instruction limit
% 0.17/0.58 % (3720297)Termination phase: Saturation
% 0.17/0.58 % (3720297)Time elapsed: 0.097 s
% 0.17/0.58 % (3720297)Peak memory usage: 13 MB
% 0.17/0.58 % (3720297)Instructions burned: 160 (million)
% 0.17/0.58 % (3720308) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3720286-3720308"...
% 0.17/0.58 % (3720308)...printing done.
% 0.17/0.58 % (3720308)Refutation found. Thanks to Tanya!
% 0.17/0.58 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.58 % (3720308)------------------------------
% 0.17/0.58 % (3720308)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.58 % (3720308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.58 % (3720308)CaDiCaL version: 2.1.3
% 0.17/0.58 % (3720308)Termination reason: Refutation
% 0.17/0.58 % (3720308)Time elapsed: 0.029 s
% 0.17/0.58 % (3720308)Peak memory usage: 12 MB
% 0.17/0.58 % (3720308)Instructions burned: 49 (million)
% 0.17/0.58 % (3720286)Success in time 0.15 s
% 0.17/0.58 % Vampire exiting
%------------------------------------------------------------------------------