%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL455+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 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 11:58:44 AM UTC 2026
% Result : Theorem 0.21s 0.51s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 9 unt; 0 def)
% Number of atoms : 27 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 18 ( 9 ~; 5 |; 0 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 16 ( 14 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f11,axiom,
( or_2
<=> ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+0.ax',or_2) ).
fof(f23,axiom,
( r2
<=> ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+0.ax',r2) ).
fof(f44,axiom,
or_2,
file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+2.ax',hilbert_or_2) ).
fof(f53,conjecture,
r2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',principia_r2) ).
fof(f54,negated_conjecture,
~ r2,
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f55,plain,
~ r2,
inference(flattening,[],[f54]) ).
fof(f56,plain,
( ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1)))
=> r2 ),
inference(unused_predicate_definition_removal,[],[f23]) ).
fof(f61,plain,
( or_2
=> ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1))) ),
inference(unused_predicate_definition_removal,[],[f11]) ).
fof(f83,plain,
( ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1)))
| ~ or_2 ),
inference(ennf_transformation,[],[f61]) ).
fof(f88,plain,
( r2
| ? [X0,X1] : ~ is_a_theorem(implies(X1,or(X0,X1))) ),
inference(ennf_transformation,[],[f56]) ).
fof(f94,plain,
( r2
| ~ is_a_theorem(implies(sK1,or(sK0,sK1))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f88]) ).
fof(f105,plain,
! [X0,X1] :
( is_a_theorem(implies(X1,or(X0,X1)))
| ~ or_2 ),
inference(cnf_transformation,[],[f83]) ).
fof(f110,plain,
( r2
| ~ is_a_theorem(implies(sK1,or(sK0,sK1))) ),
inference(cnf_transformation,[],[f94]) ).
fof(f128,plain,
or_2,
inference(cnf_transformation,[],[f44]) ).
fof(f137,plain,
~ r2,
inference(cnf_transformation,[],[f55]) ).
fof(f143,plain,
~ is_a_theorem(implies(sK1,or(sK0,sK1))),
inference(forward_subsumption_resolution,[],[f110,f137]) ).
fof(f148,plain,
! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1))),
inference(forward_subsumption_resolution,[],[f105,f128]) ).
fof(f161,plain,
$false,
inference(resolution,[],[f148,f143]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL455+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.39 % Computer : n014.cluster.edu
% 0.14/0.39 % Model : x86_64 x86_64
% 0.14/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.39 % Memory : 8046.5625MB
% 0.14/0.39 % OS : Linux 6.8.0-71-generic
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Sun Sep 27 15:44:31 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.45 Running first-order model finding
% 0.14/0.45 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
% 0.21/0.51 % (962857)Will run a generic schedule for satisfiability detection.
% 0.21/0.51 % (962862)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2216679833_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.51 % TRYING [1]
% 0.21/0.51 % TRYING [2]
% 0.21/0.51 % TRYING [3]
% 0.21/0.51 % (962863)% WARNING: option uhcvi not known.
% 0.21/0.51 % TRYING [4]
% 0.21/0.51 % (962863)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4215507069:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.51 % (962868)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1912289566:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.51 % (962864)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3308837909:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.51 % (962867)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1035569668:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.51 % (962866)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=834224473:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.51 % (962865)dis+10_1_sil=32000:sp=arity:random_seed=3196545665:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.51 % (962867) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-962857-962867"...
% 0.21/0.51 % (962864) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-962857-962864"...
% 0.21/0.51 % (962866) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-962857-962866"...
% 0.21/0.51 % (962863) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-962857-962863"...
% 0.21/0.51 % (962868) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-962857-962868"...
% 0.21/0.51 % (962865) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-962857-962865"...
% 0.21/0.51 % (962867)...printing done.
% 0.21/0.51 % (962866)...printing done.
% 0.21/0.51 % (962864)...printing done.
% 0.21/0.51 % (962863)...printing done.
% 0.21/0.51 % (962868)...printing done.
% 0.21/0.51 % (962865)...printing done.
% 0.21/0.51 % (962867)Refutation found. Thanks to Tanya!
% 0.21/0.51 % SZS status Theorem for theBenchmark
% 0.21/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.51 % (962867)------------------------------
% 0.21/0.51 % (962867)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.51 % (962867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.51 % (962867)CaDiCaL version: 2.1.3
% 0.21/0.51 % (962867)Termination reason: Refutation
% 0.21/0.51 % (962867)Time elapsed: 0.003 s
% 0.21/0.51 % (962867)Peak memory usage: 12 MB
% 0.21/0.51 % (962867)Instructions burned: 2 (million)
% 0.21/0.51 % (962857)Success in time 0.045 s
% 0.21/0.51 % Vampire exiting
%------------------------------------------------------------------------------