%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET079-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 12:43:00 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.47s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 10 ( 8 unt; 0 def)
% Number of atoms : 12 ( 4 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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 4 ( 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pair2) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',singleton_set) ).
fof(f113,axiom,
! [X0] : ~ member(X0,null_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_null_class) ).
fof(f135,negated_conjecture,
member(x,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_set_in_its_singleton_1) ).
fof(f136,negated_conjecture,
singleton(x) = null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_set_in_its_singleton_2) ).
fof(f137,plain,
null_class = singleton(x),
inference(reorient_equations,[],[f136]) ).
fof(f200,plain,
null_class = unordered_pair(x,x),
inference(definition_unfolding,[],[f137,f12]) ).
fof(f227,plain,
( member(x,null_class)
| ~ member(x,universal_class) ),
inference(superposition,[],[f9,f200]) ).
fof(f230,plain,
~ member(x,universal_class),
inference(forward_subsumption_resolution,[],[f227,f113]) ).
fof(f231,plain,
$false,
inference(forward_subsumption_resolution,[],[f230,f135]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET079-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.40 % Computer : n007.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Mon Sep 28 00:31:26 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.43 Running first-order model finding
% 0.12/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.47 % (1923748)Will run a generic schedule for satisfiability detection.
% 0.18/0.47 % (1923757)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1055803773:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.47 % (1923754)% WARNING: option uhcvi not known.
% 0.18/0.47 % (1923757) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1923748-1923757"...
% 0.18/0.47 % (1923757)...printing done.
% 0.18/0.47 % (1923757)Refutation found. Thanks to Tanya!
% 0.18/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.47 % (1923757)------------------------------
% 0.18/0.47 % (1923757)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.47 % (1923757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.47 % (1923757)CaDiCaL version: 2.1.3
% 0.18/0.47 % (1923757)Termination reason: Refutation
% 0.18/0.47 % (1923757)Time elapsed: 0.004 s
% 0.18/0.47 % (1923757)Peak memory usage: 12 MB
% 0.18/0.47 % (1923757)Instructions burned: 12 (million)
% 0.18/0.47 % (1923748)Success in time 0.031 s
% 0.18/0.48 % Vampire exiting
%------------------------------------------------------------------------------