%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL414+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 : n019.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 11:58:35 AM UTC 2026
% Result : Theorem 0.11s 0.45s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 13 ( 5 unt; 0 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 55 ( 25 ~; 14 |; 16 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 56 ( 52 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
~ ( ! [X0,X1] :
( ~ a_truth(implies(X0,X1))
| ~ a_truth(X0)
| a_truth(X1) )
& ! [X0,X1] : a_truth(implies(X0,implies(X1,X0)))
& ! [X0,X1,X2] : a_truth(implies(implies(X0,implies(X1,X2)),implies(implies(X0,X1),implies(X0,X2))))
& ! [X0,X1] : a_truth(implies(implies(not(X0),not(X1)),implies(X1,X0)))
& ? [X3] : ~ a_truth(implies(X3,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm147) ).
fof(f2,negated_conjecture,
~ ~ ( ! [X0,X1] :
( ~ a_truth(implies(X0,X1))
| ~ a_truth(X0)
| a_truth(X1) )
& ! [X0,X1] : a_truth(implies(X0,implies(X1,X0)))
& ! [X0,X1,X2] : a_truth(implies(implies(X0,implies(X1,X2)),implies(implies(X0,X1),implies(X0,X2))))
& ! [X0,X1] : a_truth(implies(implies(not(X0),not(X1)),implies(X1,X0)))
& ? [X3] : ~ a_truth(implies(X3,X3)) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
~ ~ ( ! [X0,X1] :
( ~ a_truth(implies(X0,X1))
| ~ a_truth(X0)
| a_truth(X1) )
& ! [X2,X3] : a_truth(implies(X2,implies(X3,X2)))
& ! [X4,X5,X6] : a_truth(implies(implies(X4,implies(X5,X6)),implies(implies(X4,X5),implies(X4,X6))))
& ! [X7,X8] : a_truth(implies(implies(not(X7),not(X8)),implies(X8,X7)))
& ? [X9] : ~ a_truth(implies(X9,X9)) ),
inference(rectify,[],[f2]) ).
fof(f4,plain,
( ! [X0,X1] :
( ~ a_truth(implies(X0,X1))
| ~ a_truth(X0)
| a_truth(X1) )
& ! [X2,X3] : a_truth(implies(X2,implies(X3,X2)))
& ! [X4,X5,X6] : a_truth(implies(implies(X4,implies(X5,X6)),implies(implies(X4,X5),implies(X4,X6))))
& ! [X7,X8] : a_truth(implies(implies(not(X7),not(X8)),implies(X8,X7)))
& ? [X9] : ~ a_truth(implies(X9,X9)) ),
inference(flattening,[],[f3]) ).
fof(f5,plain,
! [X0,X1] :
( ~ a_truth(implies(X0,X1))
| ~ a_truth(X0)
| a_truth(X1) ),
inference(cnf_transformation,[],[f4]) ).
fof(f6,plain,
~ a_truth(implies(sK0,sK0)),
inference(cnf_transformation,[],[f4]) ).
fof(f8,plain,
! [X6,X4,X5] : a_truth(implies(implies(X4,implies(X5,X6)),implies(implies(X4,X5),implies(X4,X6)))),
inference(cnf_transformation,[],[f4]) ).
fof(f9,plain,
! [X2,X3] : a_truth(implies(X2,implies(X3,X2))),
inference(cnf_transformation,[],[f4]) ).
fof(f14,plain,
! [X2,X0,X1] :
( a_truth(implies(implies(X0,X1),implies(X0,X2)))
| ~ a_truth(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f8,f5]) ).
fof(f26,plain,
! [X2,X0,X1] :
( ~ a_truth(implies(X0,implies(X1,X2)))
| ~ a_truth(implies(X0,X1))
| a_truth(implies(X0,X2)) ),
inference(resolution,[],[f14,f5]) ).
fof(f27,plain,
! [X0,X1] :
( ~ a_truth(implies(X0,X1))
| a_truth(implies(X0,X0)) ),
inference(resolution,[],[f26,f9]) ).
fof(f59,plain,
! [X0] : ~ a_truth(implies(sK0,X0)),
inference(resolution,[],[f27,f6]) ).
fof(f72,plain,
$false,
inference(resolution,[],[f59,f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL414+1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n019.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 15:40:49 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 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
% 0.11/0.45 % (3225002)Will run a generic schedule for satisfiability detection.
% 0.11/0.45 % (3225011)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3595501201:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.11/0.45 % (3225011) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3225002-3225011"...
% 0.11/0.45 % (3225011)...printing done.
% 0.11/0.45 % (3225008)% WARNING: option uhcvi not known.
% 0.11/0.45 % (3225011)Refutation found. Thanks to Tanya!
% 0.11/0.45 % SZS status Theorem for theBenchmark
% 0.11/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.45 % (3225011)------------------------------
% 0.11/0.45 % (3225011)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.45 % (3225011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.45 % (3225011)CaDiCaL version: 2.1.3
% 0.11/0.45 % (3225011)Termination reason: Refutation
% 0.11/0.45 % (3225011)Time elapsed: 0.001 s
% 0.11/0.45 % (3225011)Peak memory usage: 11 MB
% 0.11/0.45 % (3225011)Instructions burned: 2 (million)
% 0.11/0.45 % (3225002)Success in time 0.024 s
% 0.11/0.45 % Vampire exiting
%------------------------------------------------------------------------------