%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL185-3 : 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 : 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 11:57:53 AM UTC 2026
% Result : Unsatisfiable 0.18s 0.46s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 23 ( 12 unt; 0 def)
% Number of atoms : 44 ( 1 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 49 ( 28 ~; 21 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 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 : 37 ( 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(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] :
( theorem(X0)
| ~ axiom(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,negated_conjecture,
~ theorem(implies(p,or(p,q))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
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(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(X0)
| ~ theorem(or(not(X1),X0))
| ~ theorem(X1) ),
inference(definition_unfolding,[],[f8,f6]) ).
fof(f16,plain,
~ theorem(or(not(p),or(p,q))),
inference(definition_unfolding,[],[f9,f6]) ).
fof(f17,plain,
! [X0] :
( ~ theorem(X0)
| ~ axiom(X0) ),
inference(consistent_polarity_flipping,[],[f7]) ).
fof(f18,plain,
! [X0,X1] :
( theorem(or(not(X1),X0))
| ~ theorem(X0)
| theorem(X1) ),
inference(consistent_polarity_flipping,[],[f15]) ).
fof(f19,plain,
theorem(or(not(p),or(p,q))),
inference(consistent_polarity_flipping,[],[f16]) ).
fof(f21,plain,
! [X0,X1] :
( theorem(X1)
| ~ theorem(X0)
| ~ axiom(or(not(X1),X0)) ),
inference(resolution,[],[f18,f17]) ).
fof(f22,plain,
! [X0,X1] :
( ~ theorem(X0)
| ~ axiom(or(not(X1),X0))
| ~ axiom(X1) ),
inference(resolution,[],[f21,f17]) ).
fof(f24,plain,
! [X2,X0,X1] :
( theorem(X1)
| ~ axiom(X0)
| ~ theorem(X2)
| ~ axiom(or(not(X0),or(not(X1),X2))) ),
inference(resolution,[],[f22,f18]) ).
fof(f31,plain,
! [X2,X0,X1] :
( ~ theorem(X1)
| ~ axiom(X0)
| ~ axiom(or(not(X0),or(not(X2),X1)))
| ~ axiom(X2) ),
inference(resolution,[],[f24,f17]) ).
fof(f68,plain,
! [X0,X1] :
( ~ axiom(or(not(X0),or(not(X1),or(not(p),or(p,q)))))
| ~ axiom(X0)
| ~ axiom(X1) ),
inference(resolution,[],[f31,f19]) ).
fof(f75,plain,
! [X0] :
( ~ axiom(or(not(X0),or(p,q)))
| ~ axiom(or(not(p),X0)) ),
inference(resolution,[],[f68,f14]) ).
fof(f77,plain,
~ axiom(or(not(p),or(q,p))),
inference(resolution,[],[f75,f12]) ).
fof(f80,plain,
$false,
inference(resolution,[],[f77,f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL185-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n017.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 15:20:50 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 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
% 0.18/0.46 % (2724172)Will run a generic schedule for satisfiability detection.
% 0.18/0.46 % (2724177)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3152271580_3000 on theBenchmark for (3000ds/0Mi)
% 0.18/0.46 % TRYING [1]
% 0.18/0.46 % TRYING [2]
% 0.18/0.46 % TRYING [3]
% 0.18/0.46 % (2724178)% WARNING: option uhcvi not known.
% 0.18/0.46 % TRYING [4]
% 0.18/0.46 % (2724178)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3046031987:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.18/0.46 % (2724180)dis+10_1_sil=32000:sp=arity:random_seed=2102856027:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.18/0.46 % (2724179)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2150444106:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.18/0.46 % (2724181)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3584415091:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.18/0.46 % (2724182)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=128393255:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.18/0.46 % (2724183)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2090763230:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.18/0.46 % (2724183) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2724172-2724183"...
% 0.18/0.46 % (2724183)...printing done.
% 0.18/0.46 % (2724183)Refutation found. Thanks to Tanya!
% 0.18/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.46 % (2724183)------------------------------
% 0.18/0.46 % (2724183)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.46 % (2724183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.46 % (2724183)CaDiCaL version: 2.1.3
% 0.18/0.46 % (2724183)Termination reason: Refutation
% 0.18/0.46 % (2724183)Time elapsed: 0.003 s
% 0.18/0.46 % (2724183)Peak memory usage: 11 MB
% 0.18/0.46 % (2724183)Instructions burned: 3 (million)
% 0.18/0.46 % (2724172)Success in time 0.028 s
% 0.18/0.46 % Vampire exiting
%------------------------------------------------------------------------------