%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL173-3 : 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 : n026.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 11:57:50 AM UTC 2026
% Result : Unsatisfiable 0.12s 0.47s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 8 ( 7 unt; 0 def)
% Number of atoms : 9 ( 1 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 5 ( 4 ~; 1 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 9 ( 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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] :
( theorem(X0)
| ~ axiom(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',rule_1) ).
fof(f9,negated_conjecture,
~ theorem(implies(implies(q,r),implies(implies(p,q),implies(p,r)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
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(f16,plain,
~ theorem(or(not(or(not(q),r)),or(not(or(not(p),q)),or(not(p),r)))),
inference(definition_unfolding,[],[f9,f6,f6,f6,f6,f6]) ).
fof(f17,plain,
~ axiom(or(not(or(not(q),r)),or(not(or(not(p),q)),or(not(p),r)))),
inference(resolution,[],[f7,f16]) ).
fof(f18,plain,
$false,
inference(forward_subsumption_resolution,[],[f17,f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL173-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n026.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 15:27:41 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 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
% 0.12/0.47 % (2994312)Will run a generic schedule for satisfiability detection.
% 0.12/0.47 % (2994322)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3122792800_2999 on theBenchmark for (2999ds/0Mi)
% 0.12/0.47 % TRYING [1]
% 0.12/0.47 % TRYING [2]
% 0.12/0.47 % TRYING [3]
% 0.12/0.47 % (2994323)% WARNING: option uhcvi not known.
% 0.12/0.47 % (2994325)dis+10_1_sil=32000:sp=arity:random_seed=2591939768:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.12/0.47 % (2994324)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1567518013:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.12/0.47 % (2994326)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1594840482:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.12/0.47 % (2994326) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2994312-2994326"...
% 0.12/0.47 % (2994325) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2994312-2994325"...
% 0.12/0.47 % (2994326)...printing done.
% 0.12/0.47 % (2994325)...printing done.
% 0.12/0.47 % (2994323)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3531751300:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.12/0.47 % (2994326)Refutation found. Thanks to Tanya!
% 0.12/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.47 % (2994326)------------------------------
% 0.12/0.47 % (2994326)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/0.47 % (2994326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/0.47 % (2994326)CaDiCaL version: 2.1.3
% 0.12/0.47 % (2994326)Termination reason: Refutation
% 0.12/0.47 % (2994326)Time elapsed: 0.001 s
% 0.12/0.47 % (2994326)Peak memory usage: 11 MB
% 0.12/0.47 % (2994312)Success in time 0.039 s
% 0.12/0.47 % Vampire exiting
%------------------------------------------------------------------------------