%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN402+1 : TPTP v9.3.1. Released v2.0.0.
% 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 02:07:46 PM UTC 2026
% Result : Theorem 0.25s 0.33s
% Output : Refutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 6 ( 3 unt; 0 def)
% Number of atoms : 9 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 3 ~; 0 |; 1 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 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 : 7 ( 4 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( f(X0)
=> ? [X1] : f(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kalish230) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( f(X0)
=> ? [X1] : f(X1) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
? [X0] :
( ! [X1] : ~ f(X1)
& f(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f4,plain,
f(sK0),
inference(cnf_transformation,[],[f3]) ).
fof(f5,plain,
! [X1] : ~ f(X1),
inference(cnf_transformation,[],[f3]) ).
fof(f6,plain,
$false,
inference(resolution,[],[f5,f4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN402+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.24 % Computer : n007.cluster.edu
% 0.10/0.24 % Model : x86_64 x86_64
% 0.10/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.24 % Memory : 8046.5625MB
% 0.10/0.24 % OS : Linux 6.8.0-71-generic
% 0.10/0.24 % CPULimit : 300
% 0.10/0.24 % WCLimit : 300
% 0.10/0.24 % DateTime : Mon Sep 28 15:52:25 UTC 2026
% 0.10/0.25 % CPUTime :
% 0.10/0.25 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.25/0.30 Running first-order model finding
% 0.25/0.30 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
% 0.25/0.33 % (2519510)Will run a generic schedule for satisfiability detection.
% 0.25/0.33 % (2519519)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=263724687:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.25/0.33 % (2519519) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2519510-2519519"...
% 0.25/0.33 % (2519519)...printing done.
% 0.25/0.33 % (2519520)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2316088851:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.25/0.33 % (2519519)Refutation found. Thanks to Tanya!
% 0.25/0.33 % SZS status Theorem for theBenchmark
% 0.25/0.33 % SZS output start Proof for theBenchmark
% See solution above
% 0.25/0.33 % (2519519)------------------------------
% 0.25/0.33 % (2519519)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.33 % (2519519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.33 % (2519519)CaDiCaL version: 2.1.3
% 0.25/0.33 % (2519519)Termination reason: Refutation
% 0.25/0.33 % (2519519)Time elapsed: 0.001 s
% 0.25/0.33 % (2519519)Peak memory usage: 11 MB
% 0.25/0.33 % (2519510)Success in time 0.023 s
% 0.25/0.33 % Vampire exiting
%------------------------------------------------------------------------------