%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL178-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 11:57:51 AM UTC 2026
% Result : Unsatisfiable 0.27s 0.58s
% Output : Refutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 15 ( 10 unt; 0 def)
% Number of atoms : 21 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 13 ( 7 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : axiom(or(not(or(X0,X0)),X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL003-0.ax',axiom_1_2) ).
fof(f2,axiom,
! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL003-0.ax',axiom_1_3) ).
fof(f3,axiom,
! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL003-0.ax',axiom_1_4) ).
fof(f4,axiom,
! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL003-0.ax',axiom_1_5) ).
fof(f6,axiom,
! [X0] :
( ~ axiom(X0)
| theorem(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL003-0.ax',rule_1) ).
fof(f7,axiom,
! [X0,X1] :
( ~ axiom(or(not(X1),X0))
| theorem(X0)
| ~ theorem(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL003-0.ax',rule_2) ).
fof(f9,negated_conjecture,
~ theorem(or(not(p),not(not(p)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f21,plain,
! [X0,X1] : theorem(or(not(X0),or(X1,X0))),
inference(resolution,[],[f2,f6]) ).
fof(f29,plain,
! [X0] :
( ~ theorem(or(X0,X0))
| theorem(X0) ),
inference(resolution,[],[f7,f1]) ).
fof(f30,plain,
! [X0,X1] :
( ~ theorem(or(X1,X0))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f7,f3]) ).
fof(f66,plain,
! [X2,X0,X1] :
( ~ theorem(or(X1,or(X0,X2)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f4,f7]) ).
fof(f83,plain,
! [X0,X1] : theorem(or(X0,or(not(X1),X1))),
inference(resolution,[],[f66,f21]) ).
fof(f99,plain,
! [X0] : theorem(or(not(X0),X0)),
inference(resolution,[],[f83,f29]) ).
fof(f101,plain,
! [X0] : theorem(or(X0,not(X0))),
inference(resolution,[],[f99,f30]) ).
fof(f103,plain,
$false,
inference(resolution,[],[f101,f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL178-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.22/0.47 % Computer : n009.cluster.edu
% 0.22/0.47 % Model : x86_64 x86_64
% 0.22/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.22/0.47 % Memory : 8046.5625MB
% 0.22/0.47 % OS : Linux 6.8.0-71-generic
% 0.22/0.47 % CPULimit : 300
% 0.22/0.47 % WCLimit : 300
% 0.22/0.47 % DateTime : Sun Sep 27 15:25:00 UTC 2026
% 0.22/0.47 % CPUTime :
% 0.22/0.47 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.27/0.53 Running first-order model finding
% 0.27/0.53 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
% 0.27/0.58 % (2169308)Will run a generic schedule for satisfiability detection.
% 0.27/0.58 % (2169315)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2298480980:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.27/0.58 % (2169315) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2169308-2169315"...
% 0.27/0.58 % (2169315)...printing done.
% 0.27/0.58 % (2169315)Refutation found. Thanks to Tanya!
% 0.27/0.58 % SZS status Unsatisfiable for theBenchmark
% 0.27/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 0.27/0.58 % (2169315)------------------------------
% 0.27/0.58 % (2169315)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.27/0.58 % (2169315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.27/0.58 % (2169315)CaDiCaL version: 2.1.3
% 0.27/0.58 % (2169315)Termination reason: Refutation
% 0.27/0.58 % (2169315)Time elapsed: 0.002 s
% 0.27/0.58 % (2169315)Peak memory usage: 11 MB
% 0.27/0.58 % (2169315)Instructions burned: 2 (million)
% 0.27/0.58 % (2169308)Success in time 0.04 s
% 0.27/0.58 % Vampire exiting
%------------------------------------------------------------------------------