TSTP Solution File: SET047+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET047+1 : TPTP v8.1.0. Released v2.0.0.
% 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 : n012.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 : Theorem 0.18s 0.49s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 28 ( 1 unt; 0 def)
% Number of atoms : 71 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 72 ( 29 ~; 36 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 1 <~>)
% 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 : 35 ( 33 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f120,plain,
$false,
inference(avatar_sat_refutation,[],[f19,f20,f113,f119]) ).
fof(f119,plain,
( spl3_2
| ~ spl3_1 ),
inference(avatar_split_clause,[],[f114,f12,f16]) ).
fof(f16,plain,
( spl3_2
<=> set_equal(sK2,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f12,plain,
( spl3_1
<=> set_equal(sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f114,plain,
( set_equal(sK2,sK1)
| ~ spl3_1 ),
inference(resolution,[],[f13,f108]) ).
fof(f108,plain,
! [X2,X1] :
( ~ set_equal(X2,X1)
| set_equal(X1,X2) ),
inference(duplicate_literal_removal,[],[f92]) ).
fof(f92,plain,
! [X2,X1] :
( ~ set_equal(X2,X1)
| ~ set_equal(X2,X1)
| set_equal(X1,X2)
| set_equal(X1,X2) ),
inference(resolution,[],[f89,f68]) ).
fof(f68,plain,
! [X0,X1] :
( element(sK0(X0,X1),X0)
| set_equal(X0,X1)
| ~ set_equal(X1,X0) ),
inference(factoring,[],[f21]) ).
fof(f21,plain,
! [X2,X0,X1] :
( element(sK0(X0,X1),X2)
| element(sK0(X0,X1),X0)
| ~ set_equal(X1,X2)
| set_equal(X0,X1) ),
inference(resolution,[],[f7,f6]) ).
fof(f6,plain,
! [X2,X0,X1] :
( ~ element(X2,X0)
| ~ set_equal(X0,X1)
| element(X2,X1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( set_equal(X0,X1)
<=> ! [X2] :
( element(X2,X0)
<=> element(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel43_1) ).
fof(f7,plain,
! [X0,X1] :
( element(sK0(X0,X1),X1)
| element(sK0(X0,X1),X0)
| set_equal(X0,X1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f89,plain,
! [X0,X1] :
( ~ element(sK0(X1,X0),X1)
| set_equal(X1,X0)
| ~ set_equal(X0,X1) ),
inference(duplicate_literal_removal,[],[f85]) ).
fof(f85,plain,
! [X0,X1] :
( ~ element(sK0(X1,X0),X1)
| ~ set_equal(X0,X1)
| set_equal(X1,X0)
| ~ set_equal(X0,X1)
| set_equal(X1,X0) ),
inference(resolution,[],[f75,f8]) ).
fof(f8,plain,
! [X0,X1] :
( ~ element(sK0(X0,X1),X1)
| ~ element(sK0(X0,X1),X0)
| set_equal(X0,X1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f75,plain,
! [X6,X4,X5] :
( element(sK0(X4,X5),X6)
| ~ set_equal(X5,X4)
| set_equal(X4,X5)
| ~ set_equal(X6,X4) ),
inference(resolution,[],[f68,f5]) ).
fof(f5,plain,
! [X2,X0,X1] :
( ~ element(X2,X1)
| element(X2,X0)
| ~ set_equal(X0,X1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f13,plain,
( set_equal(sK1,sK2)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f12]) ).
fof(f113,plain,
( spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f111,f16,f12]) ).
fof(f111,plain,
( set_equal(sK1,sK2)
| ~ spl3_2 ),
inference(resolution,[],[f108,f17]) ).
fof(f17,plain,
( set_equal(sK2,sK1)
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f16]) ).
fof(f20,plain,
( spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f9,f16,f12]) ).
fof(f9,plain,
( set_equal(sK2,sK1)
| set_equal(sK1,sK2) ),
inference(cnf_transformation,[],[f4]) ).
fof(f4,plain,
? [X0,X1] :
( set_equal(X0,X1)
<~> set_equal(X1,X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,negated_conjecture,
~ ! [X0,X1] :
( set_equal(X1,X0)
<=> set_equal(X0,X1) ),
inference(negated_conjecture,[],[f2]) ).
fof(f2,conjecture,
! [X0,X1] :
( set_equal(X1,X0)
<=> set_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel43) ).
fof(f19,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f10,f16,f12]) ).
fof(f10,plain,
( ~ set_equal(sK2,sK1)
| ~ set_equal(sK1,sK2) ),
inference(cnf_transformation,[],[f4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SET047+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n012.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 13:02:20 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.47 % (20433)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.18/0.48 % (20443)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 0.18/0.48 % (20426)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/191324Mi)
% 0.18/0.48 TRYING [1]
% 0.18/0.48 % (20437)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.18/0.48 TRYING [2]
% 0.18/0.48 TRYING [3]
% 0.18/0.48 TRYING [4]
% 0.18/0.48 TRYING [5]
% 0.18/0.48 % (20437)First to succeed.
% 0.18/0.49 TRYING [6]
% 0.18/0.49 TRYING [7]
% 0.18/0.49 % (20452)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/68Mi)
% 0.18/0.49 % (20451)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 0.18/0.49 TRYING [1]
% 0.18/0.49 TRYING [2]
% 0.18/0.49 TRYING [3]
% 0.18/0.49 TRYING [8]
% 0.18/0.49 TRYING [4]
% 0.18/0.49 TRYING [5]
% 0.18/0.49 % (20433)Also succeeded, but the first one will report.
% 0.18/0.49 % (20437)Refutation found. Thanks to Tanya!
% 0.18/0.49 % SZS status Theorem for theBenchmark
% 0.18/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.49 % (20437)------------------------------
% 0.18/0.49 % (20437)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49 % (20437)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49 % (20437)Termination reason: Refutation
% 0.18/0.49
% 0.18/0.49 % (20437)Memory used [KB]: 5373
% 0.18/0.49 % (20437)Time elapsed: 0.100 s
% 0.18/0.49 % (20437)Instructions burned: 3 (million)
% 0.18/0.49 % (20437)------------------------------
% 0.18/0.49 % (20437)------------------------------
% 0.18/0.49 % (20425)Success in time 0.155 s
%------------------------------------------------------------------------------