%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL296-3 : 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 : n014.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 11:58:18 AM UTC 2026
% Result : Unsatisfiable 0.27s 0.59s
% Output : Refutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 30 ( 23 unt; 0 def)
% Number of atoms : 39 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 21 ( 12 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 48 ( 48 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : axiom(implies(or(X0,X0),X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_2) ).
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(f4,axiom,
! [X2,X0,X1] : axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_5) ).
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] :
( ~ axiom(X0)
| theorem(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,axiom,
! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-1.ax',and_defn) ).
fof(f10,axiom,
! [X0,X1] : equivalent(X0,X1) = and(implies(X0,X1),implies(X1,X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-2.ax',equivalent_defn) ).
fof(f11,negated_conjecture,
~ theorem(equivalent(implies(p,not(q)),or(not(p),not(q)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f12,plain,
! [X0,X1] : equivalent(X0,X1) = not(or(not(or(not(X0),X1)),not(or(not(X1),X0)))),
inference(definition_unfolding,[],[f10,f9,f6,f6]) ).
fof(f13,plain,
! [X0] : axiom(or(not(or(X0,X0)),X0)),
inference(definition_unfolding,[],[f1,f6]) ).
fof(f14,plain,
! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
inference(definition_unfolding,[],[f2,f6]) ).
fof(f15,plain,
! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
inference(definition_unfolding,[],[f3,f6]) ).
fof(f16,plain,
! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(definition_unfolding,[],[f4,f6]) ).
fof(f18,plain,
! [X0,X1] :
( ~ theorem(or(not(X1),X0))
| theorem(X0)
| ~ theorem(X1) ),
inference(definition_unfolding,[],[f8,f6]) ).
fof(f19,plain,
~ theorem(not(or(not(or(not(or(not(p),not(q))),or(not(p),not(q)))),not(or(not(or(not(p),not(q))),or(not(p),not(q))))))),
inference(definition_unfolding,[],[f11,f12,f6]) ).
fof(f30,plain,
! [X0] : theorem(or(not(or(X0,X0)),X0)),
inference(resolution,[],[f13,f7]) ).
fof(f31,plain,
! [X0,X1] : theorem(or(not(X0),or(X1,X0))),
inference(resolution,[],[f14,f7]) ).
fof(f32,plain,
! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(resolution,[],[f15,f7]) ).
fof(f39,plain,
! [X0] :
( ~ theorem(or(X0,X0))
| theorem(X0) ),
inference(resolution,[],[f18,f30]) ).
fof(f63,plain,
! [X0,X1] :
( ~ theorem(or(X1,X0))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f32,f18]) ).
fof(f67,plain,
! [X0] : theorem(or(X0,not(or(X0,X0)))),
inference(resolution,[],[f63,f30]) ).
fof(f81,plain,
! [X0] :
( theorem(not(or(not(X0),not(X0))))
| ~ theorem(X0) ),
inference(resolution,[],[f67,f18]) ).
fof(f97,plain,
~ theorem(or(not(or(not(p),not(q))),or(not(p),not(q)))),
inference(resolution,[],[f81,f19]) ).
fof(f114,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(resolution,[],[f16,f7]) ).
fof(f115,plain,
! [X2,X0,X1] :
( ~ theorem(or(X1,or(X0,X2)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f114,f18]) ).
fof(f126,plain,
! [X0,X1] : theorem(or(X0,or(not(X1),X1))),
inference(resolution,[],[f115,f31]) ).
fof(f147,plain,
! [X0] : theorem(or(not(X0),X0)),
inference(resolution,[],[f126,f39]) ).
fof(f150,plain,
$false,
inference(resolution,[],[f147,f97]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL296-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.18/0.45 % Computer : n014.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Sun Sep 27 15:33:01 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.45 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.18/0.51 Running first-order model finding
% 0.18/0.51 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
% 0.27/0.59 % (950552)Will run a generic schedule for satisfiability detection.
% 0.27/0.59 % (950557)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3169597775_2999 on theBenchmark for (2999ds/0Mi)
% 0.27/0.59 % TRYING [1]
% 0.27/0.59 % TRYING [2]
% 0.27/0.59 % TRYING [3]
% 0.27/0.59 % TRYING [4]
% 0.27/0.59 % (950562)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4155862771:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.27/0.59 % (950559)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3855315765:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.27/0.59 % (950563)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2814639816:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.27/0.59 % (950561)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=705893707:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.27/0.59 % (950560)dis+10_1_sil=32000:sp=arity:random_seed=2679748723:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.27/0.59 % (950559) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-950552-950559"...
% 0.27/0.59 % (950560) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-950552-950560"...
% 0.27/0.59 % (950559)...printing done.
% 0.27/0.59 % (950560)...printing done.
% 0.27/0.59 % (950559)Refutation found. Thanks to Tanya!
% 0.27/0.59 % SZS status Unsatisfiable for theBenchmark
% 0.27/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 0.27/0.59 % (950559)------------------------------
% 0.27/0.59 % (950559)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.27/0.59 % (950559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.27/0.59 % (950559)CaDiCaL version: 2.1.3
% 0.27/0.59 % (950559)Termination reason: Refutation
% 0.27/0.59 % (950559)Time elapsed: 0.005 s
% 0.27/0.59 % (950559)Peak memory usage: 11 MB
% 0.27/0.59 % (950559)Instructions burned: 3 (million)
% 0.27/0.59 % (950552)Success in time 0.064 s
% 0.27/0.59 % Vampire exiting
%------------------------------------------------------------------------------