TSTP Solution File: SET047-5 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET047-5 : TPTP v8.1.0. Released v1.0.0.
% 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 : n025.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 18:23:22 EDT 2022
% Result : Unsatisfiable 0.20s 0.46s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 27 ( 1 unt; 0 def)
% Number of atoms : 68 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 71 ( 30 ~; 39 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 24 ( 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f61,plain,
$false,
inference(avatar_sat_refutation,[],[f15,f16,f57,f60]) ).
fof(f60,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_contradiction_clause,[],[f59]) ).
fof(f59,plain,
( $false
| ~ spl0_1
| spl0_2 ),
inference(subsumption_resolution,[],[f58,f13]) ).
fof(f13,plain,
( ~ set_equal(a,b)
| spl0_2 ),
inference(avatar_component_clause,[],[f12]) ).
fof(f12,plain,
( spl0_2
<=> set_equal(a,b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f58,plain,
( set_equal(a,b)
| ~ spl0_1 ),
inference(resolution,[],[f10,f53]) ).
fof(f53,plain,
! [X0,X1] :
( ~ set_equal(X0,X1)
| set_equal(X1,X0) ),
inference(subsumption_resolution,[],[f52,f18]) ).
fof(f18,plain,
! [X3,X4,X5] :
( element(f(X3,X4),X5)
| element(f(X3,X4),X3)
| ~ set_equal(X4,X5)
| set_equal(X3,X4) ),
inference(resolution,[],[f3,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( ~ element(X2,X0)
| ~ set_equal(X0,X1)
| element(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_substitution1) ).
fof(f3,axiom,
! [X0,X1] :
( element(f(X0,X1),X1)
| element(f(X0,X1),X0)
| set_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
fof(f52,plain,
! [X0,X1] :
( ~ element(f(X1,X0),X1)
| ~ set_equal(X0,X1)
| set_equal(X1,X0) ),
inference(duplicate_literal_removal,[],[f49]) ).
fof(f49,plain,
! [X0,X1] :
( ~ element(f(X1,X0),X1)
| set_equal(X1,X0)
| ~ set_equal(X0,X1)
| set_equal(X1,X0)
| ~ set_equal(X0,X1) ),
inference(resolution,[],[f46,f4]) ).
fof(f4,axiom,
! [X0,X1] :
( ~ element(f(X0,X1),X1)
| ~ element(f(X0,X1),X0)
| set_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
fof(f46,plain,
! [X2,X3,X1] :
( element(f(X1,X2),X3)
| ~ set_equal(X2,X1)
| ~ set_equal(X3,X1)
| set_equal(X1,X2) ),
inference(resolution,[],[f42,f2]) ).
fof(f2,axiom,
! [X2,X0,X1] :
( ~ element(X2,X1)
| ~ set_equal(X0,X1)
| element(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_substitution2) ).
fof(f42,plain,
! [X0,X1] :
( element(f(X0,X1),X0)
| set_equal(X0,X1)
| ~ set_equal(X1,X0) ),
inference(factoring,[],[f18]) ).
fof(f10,plain,
( set_equal(b,a)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f8]) ).
fof(f8,plain,
( spl0_1
<=> set_equal(b,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f57,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_contradiction_clause,[],[f56]) ).
fof(f56,plain,
( $false
| spl0_1
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f54,f9]) ).
fof(f9,plain,
( ~ set_equal(b,a)
| spl0_1 ),
inference(avatar_component_clause,[],[f8]) ).
fof(f54,plain,
( set_equal(b,a)
| ~ spl0_2 ),
inference(resolution,[],[f53,f14]) ).
fof(f14,plain,
( set_equal(a,b)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f12]) ).
fof(f16,plain,
( ~ spl0_2
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f6,f8,f12]) ).
fof(f6,axiom,
( ~ set_equal(b,a)
| ~ set_equal(a,b) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_symmetry2) ).
fof(f15,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f5,f12,f8]) ).
fof(f5,axiom,
( set_equal(a,b)
| set_equal(b,a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_symmetry1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET047-5 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 13:12:15 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 % (24690)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.20/0.46 % (24690)First to succeed.
% 0.20/0.46 % (24690)Refutation found. Thanks to Tanya!
% 0.20/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.46 % (24690)------------------------------
% 0.20/0.46 % (24690)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.46 % (24690)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.46 % (24690)Termination reason: Refutation
% 0.20/0.46
% 0.20/0.46 % (24690)Memory used [KB]: 5373
% 0.20/0.46 % (24690)Time elapsed: 0.056 s
% 0.20/0.46 % (24690)Instructions burned: 4 (million)
% 0.20/0.46 % (24690)------------------------------
% 0.20/0.46 % (24690)------------------------------
% 0.20/0.46 % (24677)Success in time 0.11 s
%------------------------------------------------------------------------------