TSTP Solution File: SET891+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET891+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:26:01 EDT 2022
% Result : Theorem 0.22s 0.50s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 26 ( 26 unt; 0 def)
% Number of atoms : 26 ( 25 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 9 con; 0-2 aty)
% Number of variables : 19 ( 17 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f141,plain,
$false,
inference(trivial_inequality_removal,[],[f140]) ).
fof(f140,plain,
sF6 != sF6,
inference(superposition,[],[f40,f138]) ).
fof(f138,plain,
sF10 = sF6,
inference(superposition,[],[f135,f39]) ).
fof(f39,plain,
sF10 = union(sF9),
introduced(function_definition,[]) ).
fof(f135,plain,
union(sF9) = sF6,
inference(forward_demodulation,[],[f134,f38]) ).
fof(f38,plain,
set_union2(sF7,sF8) = sF9,
introduced(function_definition,[]) ).
fof(f134,plain,
union(set_union2(sF7,sF8)) = sF6,
inference(forward_demodulation,[],[f129,f35]) ).
fof(f35,plain,
sF6 = set_union2(sF4,sF5),
introduced(function_definition,[]) ).
fof(f129,plain,
union(set_union2(sF7,sF8)) = set_union2(sF4,sF5),
inference(superposition,[],[f71,f37]) ).
fof(f37,plain,
sF8 = singleton(sF5),
introduced(function_definition,[]) ).
fof(f71,plain,
! [X2] : set_union2(sF4,X2) = union(set_union2(sF7,singleton(X2))),
inference(superposition,[],[f30,f36]) ).
fof(f36,plain,
singleton(sF4) = sF7,
introduced(function_definition,[]) ).
fof(f30,plain,
! [X0,X1] : set_union2(X0,X1) = union(set_union2(singleton(X0),singleton(X1))),
inference(definition_unfolding,[],[f24,f27]) ).
fof(f27,plain,
! [X0,X1] : unordered_pair(X1,X0) = set_union2(singleton(X1),singleton(X0)),
inference(cnf_transformation,[],[f14]) ).
fof(f14,plain,
! [X1,X0] : unordered_pair(X1,X0) = set_union2(singleton(X1),singleton(X0)),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X1,X0] : unordered_pair(X0,X1) = set_union2(singleton(X0),singleton(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t41_enumset1) ).
fof(f24,plain,
! [X0,X1] : set_union2(X0,X1) = union(unordered_pair(X0,X1)),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] : set_union2(X0,X1) = union(unordered_pair(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l52_zfmisc_1) ).
fof(f40,plain,
sF10 != sF6,
inference(definition_folding,[],[f32,f39,f38,f37,f34,f36,f33,f35,f34,f33]) ).
fof(f33,plain,
singleton(sK1) = sF4,
introduced(function_definition,[]) ).
fof(f34,plain,
sF5 = singleton(sK0),
introduced(function_definition,[]) ).
fof(f32,plain,
set_union2(singleton(sK1),singleton(sK0)) != union(set_union2(singleton(singleton(sK1)),singleton(singleton(sK0)))),
inference(definition_unfolding,[],[f21,f27,f27]) ).
fof(f21,plain,
union(unordered_pair(singleton(sK1),singleton(sK0))) != unordered_pair(sK1,sK0),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
? [X1,X0] : unordered_pair(X0,X1) != union(unordered_pair(singleton(X0),singleton(X1))),
inference(ennf_transformation,[],[f10]) ).
fof(f10,negated_conjecture,
~ ! [X0,X1] : unordered_pair(X0,X1) = union(unordered_pair(singleton(X0),singleton(X1))),
inference(negated_conjecture,[],[f9]) ).
fof(f9,conjecture,
! [X0,X1] : unordered_pair(X0,X1) = union(unordered_pair(singleton(X0),singleton(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t32_zfmisc_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SET891+1 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n018.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 14:32:40 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.22/0.50 % (21900)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.22/0.50 % (21900)First to succeed.
% 0.22/0.50 % (21900)Refutation found. Thanks to Tanya!
% 0.22/0.50 % SZS status Theorem for theBenchmark
% 0.22/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.50 % (21900)------------------------------
% 0.22/0.50 % (21900)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.50 % (21900)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.50 % (21900)Termination reason: Refutation
% 0.22/0.50
% 0.22/0.50 % (21900)Memory used [KB]: 5500
% 0.22/0.50 % (21900)Time elapsed: 0.084 s
% 0.22/0.50 % (21900)Instructions burned: 3 (million)
% 0.22/0.50 % (21900)------------------------------
% 0.22/0.50 % (21900)------------------------------
% 0.22/0.50 % (21896)Success in time 0.142 s
%------------------------------------------------------------------------------