%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN727+1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n016.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 02:18:09 PM UTC 2026
% Result : Theorem 0.09s 0.25s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 9 ( 4 unt; 0 def)
% Number of atoms : 22 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 20 ( 7 ~; 3 |; 6 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 25 ( 19 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ( ! [X0] : likes(X0,bruce)
& ! [X1] :
( ? [X2] : likes(X1,X2)
=> likes(lyle,X1) ) )
=> ? [X3] :
! [X4] : likes(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm68) ).
fof(f2,negated_conjecture,
~ ( ( ! [X0] : likes(X0,bruce)
& ! [X1] :
( ? [X2] : likes(X1,X2)
=> likes(lyle,X1) ) )
=> ? [X3] :
! [X4] : likes(X3,X4) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ! [X3] :
? [X4] : ~ likes(X3,X4)
& ! [X0] : likes(X0,bruce)
& ! [X1] :
( likes(lyle,X1)
| ! [X2] : ~ likes(X1,X2) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f4,plain,
( ! [X3] :
? [X4] : ~ likes(X3,X4)
& ! [X0] : likes(X0,bruce)
& ! [X1] :
( likes(lyle,X1)
| ! [X2] : ~ likes(X1,X2) ) ),
inference(flattening,[],[f3]) ).
fof(f5,plain,
! [X2,X1] :
( ~ likes(X1,X2)
| likes(lyle,X1) ),
inference(cnf_transformation,[],[f4]) ).
fof(f6,plain,
! [X0] : likes(X0,bruce),
inference(cnf_transformation,[],[f4]) ).
fof(f7,plain,
! [X3] : ~ likes(X3,sK0(X3)),
inference(cnf_transformation,[],[f4]) ).
fof(f8,plain,
! [X0] : likes(lyle,X0),
inference(resolution,[],[f5,f6]) ).
fof(f20,plain,
$false,
inference(resolution,[],[f8,f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN727+1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n016.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 16:54:33 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 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
% 0.09/0.25 % (3757078)Will run a generic schedule for satisfiability detection.
% 0.09/0.25 % (3757087)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1010757470:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.25 % (3757087) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3757078-3757087"...
% 0.09/0.25 % (3757087)...printing done.
% 0.09/0.25 % (3757087)Refutation found. Thanks to Tanya!
% 0.09/0.25 % SZS status Theorem for theBenchmark
% 0.09/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.26 % (3757087)------------------------------
% 0.09/0.26 % (3757087)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.26 % (3757087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.26 % (3757087)CaDiCaL version: 2.1.3
% 0.09/0.26 % (3757087)Termination reason: Refutation
% 0.09/0.26 % (3757087)Time elapsed: 0.001 s
% 0.09/0.26 % (3757087)Peak memory usage: 11 MB
% 0.09/0.26 % (3757078)Success in time 0.025 s
% 0.09/0.26 % Vampire exiting
%------------------------------------------------------------------------------