TSTP Solution File: SWV389+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWV389+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --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 18:45:25 EDT 2022
% Result : Theorem 0.19s 0.49s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 35 ( 13 unt; 0 def)
% Number of atoms : 74 ( 5 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 72 ( 33 ~; 19 |; 12 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 44 ( 35 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f227,plain,
$false,
inference(avatar_sat_refutation,[],[f222,f224,f226]) ).
fof(f226,plain,
~ spl3_1,
inference(avatar_contradiction_clause,[],[f225]) ).
fof(f225,plain,
( $false
| ~ spl3_1 ),
inference(resolution,[],[f217,f163]) ).
fof(f163,plain,
~ check_cpq(triple(sK2,sK0,sK1)),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
( ok(removemin_cpq_eff(triple(sK2,sK0,sK1)))
& ~ check_cpq(triple(sK2,sK0,sK1))
& check_cpq(removemin_cpq_eff(triple(sK2,sK0,sK1))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f102,f121]) ).
fof(f121,plain,
( ? [X0,X1,X2] :
( ok(removemin_cpq_eff(triple(X2,X0,X1)))
& ~ check_cpq(triple(X2,X0,X1))
& check_cpq(removemin_cpq_eff(triple(X2,X0,X1))) )
=> ( ok(removemin_cpq_eff(triple(sK2,sK0,sK1)))
& ~ check_cpq(triple(sK2,sK0,sK1))
& check_cpq(removemin_cpq_eff(triple(sK2,sK0,sK1))) ) ),
introduced(choice_axiom,[]) ).
fof(f102,plain,
? [X0,X1,X2] :
( ok(removemin_cpq_eff(triple(X2,X0,X1)))
& ~ check_cpq(triple(X2,X0,X1))
& check_cpq(removemin_cpq_eff(triple(X2,X0,X1))) ),
inference(flattening,[],[f101]) ).
fof(f101,plain,
? [X0,X1,X2] :
( check_cpq(removemin_cpq_eff(triple(X2,X0,X1)))
& ok(removemin_cpq_eff(triple(X2,X0,X1)))
& ~ check_cpq(triple(X2,X0,X1)) ),
inference(ennf_transformation,[],[f74]) ).
fof(f74,plain,
~ ! [X0,X1,X2] :
( ~ check_cpq(triple(X2,X0,X1))
=> ( ~ check_cpq(removemin_cpq_eff(triple(X2,X0,X1)))
| ~ ok(removemin_cpq_eff(triple(X2,X0,X1))) ) ),
inference(rectify,[],[f44]) ).
fof(f44,negated_conjecture,
~ ! [X1,X2,X0] :
( ~ check_cpq(triple(X0,X1,X2))
=> ( ~ ok(removemin_cpq_eff(triple(X0,X1,X2)))
| ~ check_cpq(removemin_cpq_eff(triple(X0,X1,X2))) ) ),
inference(negated_conjecture,[],[f43]) ).
fof(f43,conjecture,
! [X1,X2,X0] :
( ~ check_cpq(triple(X0,X1,X2))
=> ( ~ ok(removemin_cpq_eff(triple(X0,X1,X2)))
| ~ check_cpq(removemin_cpq_eff(triple(X0,X1,X2))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l25_co) ).
fof(f217,plain,
( check_cpq(triple(sK2,sK0,sK1))
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f215]) ).
fof(f215,plain,
( spl3_1
<=> check_cpq(triple(sK2,sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f224,plain,
spl3_2,
inference(avatar_contradiction_clause,[],[f223]) ).
fof(f223,plain,
( $false
| spl3_2 ),
inference(resolution,[],[f221,f205]) ).
fof(f205,plain,
check_cpq(remove_cpq(findmin_cpq_eff(triple(sK2,sK0,sK1)),removemin_cpq_res(triple(sK2,sK0,sK1)))),
inference(definition_unfolding,[],[f162,f203]) ).
fof(f203,plain,
! [X0] : removemin_cpq_eff(X0) = remove_cpq(findmin_cpq_eff(X0),removemin_cpq_res(X0)),
inference(definition_unfolding,[],[f184,f158]) ).
fof(f158,plain,
! [X0] : findmin_cpq_res(X0) = removemin_cpq_res(X0),
inference(cnf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X0] : findmin_cpq_res(X0) = removemin_cpq_res(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax53) ).
fof(f184,plain,
! [X0] : removemin_cpq_eff(X0) = remove_cpq(findmin_cpq_eff(X0),findmin_cpq_res(X0)),
inference(cnf_transformation,[],[f40]) ).
fof(f40,axiom,
! [X0] : removemin_cpq_eff(X0) = remove_cpq(findmin_cpq_eff(X0),findmin_cpq_res(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax52) ).
fof(f162,plain,
check_cpq(removemin_cpq_eff(triple(sK2,sK0,sK1))),
inference(cnf_transformation,[],[f122]) ).
fof(f221,plain,
( ~ check_cpq(remove_cpq(findmin_cpq_eff(triple(sK2,sK0,sK1)),removemin_cpq_res(triple(sK2,sK0,sK1))))
| spl3_2 ),
inference(avatar_component_clause,[],[f219]) ).
fof(f219,plain,
( spl3_2
<=> check_cpq(remove_cpq(findmin_cpq_eff(triple(sK2,sK0,sK1)),removemin_cpq_res(triple(sK2,sK0,sK1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f222,plain,
( spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f213,f219,f215]) ).
fof(f213,plain,
( ~ check_cpq(remove_cpq(findmin_cpq_eff(triple(sK2,sK0,sK1)),removemin_cpq_res(triple(sK2,sK0,sK1))))
| check_cpq(triple(sK2,sK0,sK1)) ),
inference(resolution,[],[f206,f204]) ).
fof(f204,plain,
ok(remove_cpq(findmin_cpq_eff(triple(sK2,sK0,sK1)),removemin_cpq_res(triple(sK2,sK0,sK1)))),
inference(definition_unfolding,[],[f164,f203]) ).
fof(f164,plain,
ok(removemin_cpq_eff(triple(sK2,sK0,sK1))),
inference(cnf_transformation,[],[f122]) ).
fof(f206,plain,
! [X2,X0,X1] :
( ~ ok(remove_cpq(findmin_cpq_eff(triple(X2,X1,X0)),removemin_cpq_res(triple(X2,X1,X0))))
| ~ check_cpq(remove_cpq(findmin_cpq_eff(triple(X2,X1,X0)),removemin_cpq_res(triple(X2,X1,X0))))
| check_cpq(triple(X2,X1,X0)) ),
inference(definition_unfolding,[],[f178,f203,f203]) ).
fof(f178,plain,
! [X2,X0,X1] :
( ~ check_cpq(removemin_cpq_eff(triple(X2,X1,X0)))
| check_cpq(triple(X2,X1,X0))
| ~ ok(removemin_cpq_eff(triple(X2,X1,X0))) ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
! [X0,X1,X2] :
( ~ check_cpq(removemin_cpq_eff(triple(X2,X1,X0)))
| check_cpq(triple(X2,X1,X0))
| ~ ok(removemin_cpq_eff(triple(X2,X1,X0))) ),
inference(rectify,[],[f81]) ).
fof(f81,plain,
! [X1,X2,X0] :
( ~ check_cpq(removemin_cpq_eff(triple(X0,X2,X1)))
| check_cpq(triple(X0,X2,X1))
| ~ ok(removemin_cpq_eff(triple(X0,X2,X1))) ),
inference(flattening,[],[f80]) ).
fof(f80,plain,
! [X2,X0,X1] :
( check_cpq(triple(X0,X2,X1))
| ~ ok(removemin_cpq_eff(triple(X0,X2,X1)))
| ~ check_cpq(removemin_cpq_eff(triple(X0,X2,X1))) ),
inference(ennf_transformation,[],[f77]) ).
fof(f77,plain,
! [X2,X0,X1] :
( ( ok(removemin_cpq_eff(triple(X0,X2,X1)))
& check_cpq(removemin_cpq_eff(triple(X0,X2,X1))) )
=> check_cpq(triple(X0,X2,X1)) ),
inference(rectify,[],[f42]) ).
fof(f42,axiom,
! [X0,X2,X1] :
( ( check_cpq(removemin_cpq_eff(triple(X0,X1,X2)))
& ok(removemin_cpq_eff(triple(X0,X1,X2))) )
=> check_cpq(triple(X0,X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l25_l40) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWV389+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n025.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 19:30:30 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.48 % (11037)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.48 % (11028)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.48 % (11037)Instruction limit reached!
% 0.19/0.48 % (11037)------------------------------
% 0.19/0.48 % (11037)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48 % (11037)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48 % (11037)Termination reason: Unknown
% 0.19/0.48 % (11037)Termination phase: Finite model building preprocessing
% 0.19/0.48
% 0.19/0.48 % (11037)Memory used [KB]: 1535
% 0.19/0.48 % (11037)Time elapsed: 0.005 s
% 0.19/0.48 % (11037)Instructions burned: 4 (million)
% 0.19/0.48 % (11037)------------------------------
% 0.19/0.48 % (11037)------------------------------
% 0.19/0.49 % (11042)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.49 % (11042)First to succeed.
% 0.19/0.49 % (11042)Refutation found. Thanks to Tanya!
% 0.19/0.49 % SZS status Theorem for theBenchmark
% 0.19/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.49 % (11042)------------------------------
% 0.19/0.49 % (11042)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (11042)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49 % (11042)Termination reason: Refutation
% 0.19/0.49
% 0.19/0.49 % (11042)Memory used [KB]: 6012
% 0.19/0.49 % (11042)Time elapsed: 0.052 s
% 0.19/0.49 % (11042)Instructions burned: 3 (million)
% 0.19/0.49 % (11042)------------------------------
% 0.19/0.49 % (11042)------------------------------
% 0.19/0.49 % (11019)Success in time 0.147 s
%------------------------------------------------------------------------------