%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL171-3 : 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 : n009.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 0.23s 0.51s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 10 ( 8 unt; 0 def)
% Number of atoms : 12 ( 1 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 6 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 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 : 8 ( 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(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(p,not(q)),implies(q,not(p)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f12,plain,
! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
inference(definition_unfolding,[],[f3,f6]) ).
fof(f16,plain,
~ theorem(or(not(or(not(p),not(q))),or(not(q),not(p)))),
inference(definition_unfolding,[],[f9,f6,f6,f6]) ).
fof(f17,plain,
! [X0] :
( ~ theorem(X0)
| ~ axiom(X0) ),
inference(consistent_polarity_flipping,[],[f7]) ).
fof(f19,plain,
theorem(or(not(or(not(p),not(q))),or(not(q),not(p)))),
inference(consistent_polarity_flipping,[],[f16]) ).
fof(f20,plain,
~ axiom(or(not(or(not(p),not(q))),or(not(q),not(p)))),
inference(resolution,[],[f17,f19]) ).
fof(f21,plain,
$false,
inference(backward_subsumption_resolution,[],[f20,f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL171-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.15/0.41 % Computer : n009.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Sun Sep 27 15:24:45 UTC 2026
% 0.15/0.41 % CPUTime :
% 0.15/0.42 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.15/0.46 Running first-order model finding
% 0.15/0.46 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
% 0.23/0.51 % (2168492)Will run a generic schedule for satisfiability detection.
% 0.23/0.51 % (2168498)% WARNING: option uhcvi not known.
% 0.23/0.51 % (2168498)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1772696330:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.23/0.51 % (2168497)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3151730688_2999 on theBenchmark for (2999ds/0Mi)
% 0.23/0.51 % (2168498) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2168492-2168498"...
% 0.23/0.51 % (2168498)...printing done.
% 0.23/0.51 % TRYING [1]
% 0.23/0.51 % (2168498)Refutation found. Thanks to Tanya!
% 0.23/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.23/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.51 % (2168498)------------------------------
% 0.23/0.51 % (2168498)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.51 % (2168498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.51 % (2168498)CaDiCaL version: 2.1.3
% 0.23/0.51 % (2168498)Termination reason: Refutation
% 0.23/0.51 % (2168498)Time elapsed: 0.001 s
% 0.23/0.51 % (2168498)Peak memory usage: 11 MB
% 0.23/0.51 % (2168492)Success in time 0.027 s
% 0.23/0.51 % Vampire exiting
%------------------------------------------------------------------------------