%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET940+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 12:45:03 PM UTC 2026
% Result : Theorem 0.11s 0.45s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 8 ( 8 unt; 0 def)
% Number of atoms : 8 ( 7 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 10 ( 8 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,conjecture,
! [X0,X1] : union(unordered_pair(X0,X1)) = set_union2(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t93_zfmisc_1) ).
fof(f9,negated_conjecture,
~ ! [X0,X1] : union(unordered_pair(X0,X1)) = set_union2(X0,X1),
inference(negated_conjecture,[status(cth)],[f8]) ).
fof(f10,axiom,
! [X0,X1] : union(unordered_pair(X0,X1)) = set_union2(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l52_zfmisc_1) ).
fof(f14,plain,
? [X0,X1] : set_union2(X0,X1) != union(unordered_pair(X0,X1)),
inference(ennf_transformation,[],[f9]) ).
fof(f22,plain,
set_union2(sK2,sK3) != union(unordered_pair(sK2,sK3)),
inference(cnf_transformation,[],[f14]) ).
fof(f23,plain,
! [X0,X1] : set_union2(X0,X1) = union(unordered_pair(X0,X1)),
inference(cnf_transformation,[],[f10]) ).
fof(f28,plain,
union(unordered_pair(sK2,sK3)) != union(unordered_pair(sK2,sK3)),
inference(definition_unfolding,[],[f22,f23]) ).
fof(f29,plain,
$false,
inference(trivial_inequality_removal,[],[f28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET940+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n010.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 : Mon Sep 28 03:16:02 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 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
% 0.11/0.45 % (1529062)Will run a generic schedule for satisfiability detection.
% 0.11/0.45 % (1529071)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=95101563:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.11/0.45 % (1529071) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1529062-1529071"...
% 0.11/0.45 % (1529071)...printing done.
% 0.11/0.45 % (1529071)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 % (1529071)------------------------------
% 0.11/0.45 % (1529071)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.45 % (1529071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.45 % (1529071)CaDiCaL version: 2.1.3
% 0.11/0.45 % (1529071)Termination reason: Refutation
% 0.11/0.45 % (1529071)Time elapsed: 0.001 s
% 0.11/0.45 % (1529071)Peak memory usage: 11 MB
% 0.11/0.45 % (1529062)Success in time 0.025 s
% 0.11/0.45 % Vampire exiting
%------------------------------------------------------------------------------