%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET158-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n010.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 12:43:18 PM UTC 2026
% Result : Unsatisfiable 0.16s 0.48s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 10 ( 8 unt; 0 def)
% Number of atoms : 12 ( 1 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 4 ( 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f24,axiom,
! [X0,X1] :
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',complement1) ).
fof(f122,negated_conjecture,
member(y,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_to_complement_axiom_1) ).
fof(f123,negated_conjecture,
member(z,complement(x)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_to_complement_axiom_2) ).
fof(f124,negated_conjecture,
y = z,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_to_complement_axiom_3) ).
fof(f187,plain,
member(z,x),
inference(definition_unfolding,[],[f122,f124]) ).
fof(f208,plain,
! [X0,X1] :
( member(X0,complement(X1))
| member(X0,X1) ),
inference(consistent_polarity_flipping,[],[f24]) ).
fof(f263,plain,
~ member(z,x),
inference(consistent_polarity_flipping,[],[f187]) ).
fof(f264,plain,
~ member(z,complement(x)),
inference(consistent_polarity_flipping,[],[f123]) ).
fof(f266,plain,
member(z,x),
inference(resolution,[],[f208,f264]) ).
fof(f267,plain,
$false,
inference(forward_subsumption_resolution,[],[f266,f263]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET158-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.40 % Computer : n010.cluster.edu
% 0.09/0.40 % Model : x86_64 x86_64
% 0.09/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.40 % Memory : 8046.5625MB
% 0.09/0.40 % OS : Linux 6.8.0-71-generic
% 0.09/0.40 % CPULimit : 300
% 0.09/0.40 % WCLimit : 300
% 0.09/0.40 % DateTime : Mon Sep 28 00:57:17 UTC 2026
% 0.09/0.40 % CPUTime :
% 0.09/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.43 Running first-order model finding
% 0.09/0.43 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
% 0.16/0.48 % (1468468)Will run a generic schedule for satisfiability detection.
% 0.16/0.48 % (1468474)% WARNING: option uhcvi not known.
% 0.16/0.48 % (1468474)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1230467410:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.48 % (1468474) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1468468-1468474"...
% 0.16/0.48 % (1468474)...printing done.
% 0.16/0.48 % (1468474)Refutation found. Thanks to Tanya!
% 0.16/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.48 % (1468474)------------------------------
% 0.16/0.48 % (1468474)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.48 % (1468474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.48 % (1468474)CaDiCaL version: 2.1.3
% 0.16/0.48 % (1468474)Termination reason: Refutation
% 0.16/0.48 % (1468474)Time elapsed: 0.002 s
% 0.16/0.48 % (1468474)Peak memory usage: 11 MB
% 0.16/0.48 % (1468474)Instructions burned: 6 (million)
% 0.16/0.48 % (1468468)Success in time 0.038 s
% 0.16/0.48 % Vampire exiting
%------------------------------------------------------------------------------