%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL680+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n007.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 12:00:04 PM UTC 2026
% Result : Theorem 0.15s 0.46s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 7 ( 3 unt; 0 def)
% Number of atoms : 11 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 15 ( 11 ~; 3 |; 1 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 4 ( 0 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
~ ? [X0] :
~ ( ~ p1(X0)
| p1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
fof(f2,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ p1(X0)
| p1(X0) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
? [X0] :
~ ( ~ p1(X0)
| p1(X0) ),
inference(flattening,[],[f2]) ).
fof(f4,plain,
? [X0] :
( p1(X0)
& ~ p1(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f5,plain,
~ p1(sK0),
inference(cnf_transformation,[],[f4]) ).
fof(f6,plain,
p1(sK0),
inference(cnf_transformation,[],[f4]) ).
fof(f7,plain,
$false,
inference(forward_subsumption_resolution,[],[f6,f5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL680+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38 % Computer : n007.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 16:33:10 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.42 Running first-order model finding
% 0.10/0.42 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
% 0.15/0.46 % (1634011)Will run a generic schedule for satisfiability detection.
% 0.15/0.46 % (1634020)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2823611774:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.15/0.46 % (1634020) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1634011-1634020"...
% 0.15/0.46 % (1634020)...printing done.
% 0.15/0.46 % (1634020)Refutation found. Thanks to Tanya!
% 0.15/0.46 % SZS status Theorem for theBenchmark
% 0.15/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.46 % (1634020)------------------------------
% 0.15/0.46 % (1634020)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.46 % (1634020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.46 % (1634020)CaDiCaL version: 2.1.3
% 0.15/0.46 % (1634020)Termination reason: Refutation
% 0.15/0.46 % (1634020)Time elapsed: 0.0000 s
% 0.15/0.46 % (1634020)Peak memory usage: 11 MB
% 0.15/0.46 % (1634011)Success in time 0.034 s
% 0.15/0.46 % Vampire exiting
%------------------------------------------------------------------------------