TSTP Solution File: SWV389+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --cores 0 -t %d %s
% Computer : n009.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 18:56:41 EDT 2022
% Result : Theorem 0.15s 0.53s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 28 ( 12 unt; 0 def)
% Number of atoms : 62 ( 5 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 64 ( 30 ~; 14 |; 14 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 47 ( 35 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f218,plain,
$false,
inference(subsumption_resolution,[],[f217,f208]) ).
fof(f208,plain,
check_cpq(remove_cpq(findmin_cpq_eff(triple(sK2,sK1,sK0)),removemin_cpq_res(triple(sK2,sK1,sK0)))),
inference(definition_unfolding,[],[f160,f204]) ).
fof(f204,plain,
! [X0] : removemin_cpq_eff(X0) = remove_cpq(findmin_cpq_eff(X0),removemin_cpq_res(X0)),
inference(definition_unfolding,[],[f190,f195]) ).
fof(f195,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(f190,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(f160,plain,
check_cpq(removemin_cpq_eff(triple(sK2,sK1,sK0))),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
( ~ check_cpq(triple(sK2,sK1,sK0))
& ok(removemin_cpq_eff(triple(sK2,sK1,sK0)))
& check_cpq(removemin_cpq_eff(triple(sK2,sK1,sK0))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f117,f118]) ).
fof(f118,plain,
( ? [X0,X1,X2] :
( ~ check_cpq(triple(X2,X1,X0))
& ok(removemin_cpq_eff(triple(X2,X1,X0)))
& check_cpq(removemin_cpq_eff(triple(X2,X1,X0))) )
=> ( ~ check_cpq(triple(sK2,sK1,sK0))
& ok(removemin_cpq_eff(triple(sK2,sK1,sK0)))
& check_cpq(removemin_cpq_eff(triple(sK2,sK1,sK0))) ) ),
introduced(choice_axiom,[]) ).
fof(f117,plain,
? [X0,X1,X2] :
( ~ check_cpq(triple(X2,X1,X0))
& ok(removemin_cpq_eff(triple(X2,X1,X0)))
& check_cpq(removemin_cpq_eff(triple(X2,X1,X0))) ),
inference(rectify,[],[f102]) ).
fof(f102,plain,
? [X1,X2,X0] :
( ~ check_cpq(triple(X0,X2,X1))
& ok(removemin_cpq_eff(triple(X0,X2,X1)))
& check_cpq(removemin_cpq_eff(triple(X0,X2,X1))) ),
inference(flattening,[],[f101]) ).
fof(f101,plain,
? [X0,X2,X1] :
( check_cpq(removemin_cpq_eff(triple(X0,X2,X1)))
& ok(removemin_cpq_eff(triple(X0,X2,X1)))
& ~ check_cpq(triple(X0,X2,X1)) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,plain,
~ ! [X0,X2,X1] :
( ~ check_cpq(triple(X0,X2,X1))
=> ( ~ check_cpq(removemin_cpq_eff(triple(X0,X2,X1)))
| ~ ok(removemin_cpq_eff(triple(X0,X2,X1))) ) ),
inference(rectify,[],[f44]) ).
fof(f44,negated_conjecture,
~ ! [X0,X2,X1] :
( ~ 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,
! [X0,X2,X1] :
( ~ 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(remove_cpq(findmin_cpq_eff(triple(sK2,sK1,sK0)),removemin_cpq_res(triple(sK2,sK1,sK0)))),
inference(subsumption_resolution,[],[f216,f162]) ).
fof(f162,plain,
~ check_cpq(triple(sK2,sK1,sK0)),
inference(cnf_transformation,[],[f119]) ).
fof(f216,plain,
( check_cpq(triple(sK2,sK1,sK0))
| ~ check_cpq(remove_cpq(findmin_cpq_eff(triple(sK2,sK1,sK0)),removemin_cpq_res(triple(sK2,sK1,sK0)))) ),
inference(resolution,[],[f209,f207]) ).
fof(f207,plain,
ok(remove_cpq(findmin_cpq_eff(triple(sK2,sK1,sK0)),removemin_cpq_res(triple(sK2,sK1,sK0)))),
inference(definition_unfolding,[],[f161,f204]) ).
fof(f161,plain,
ok(removemin_cpq_eff(triple(sK2,sK1,sK0))),
inference(cnf_transformation,[],[f119]) ).
fof(f209,plain,
! [X2,X0,X1] :
( ~ ok(remove_cpq(findmin_cpq_eff(triple(X2,X0,X1)),removemin_cpq_res(triple(X2,X0,X1))))
| check_cpq(triple(X2,X0,X1))
| ~ check_cpq(remove_cpq(findmin_cpq_eff(triple(X2,X0,X1)),removemin_cpq_res(triple(X2,X0,X1)))) ),
inference(definition_unfolding,[],[f178,f204,f204]) ).
fof(f178,plain,
! [X2,X0,X1] :
( ~ check_cpq(removemin_cpq_eff(triple(X2,X0,X1)))
| check_cpq(triple(X2,X0,X1))
| ~ ok(removemin_cpq_eff(triple(X2,X0,X1))) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0,X1,X2] :
( ~ check_cpq(removemin_cpq_eff(triple(X2,X0,X1)))
| check_cpq(triple(X2,X0,X1))
| ~ ok(removemin_cpq_eff(triple(X2,X0,X1))) ),
inference(rectify,[],[f99]) ).
fof(f99,plain,
! [X2,X1,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,[],[f98]) ).
fof(f98,plain,
! [X1,X2,X0] :
( 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,[],[f52]) ).
fof(f52,plain,
! [X1,X2,X0] :
( ( 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
% 0.00/0.09 % Problem : SWV389+1 : TPTP v8.1.0. Released v3.3.0.
% 0.00/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.30 % Computer : n009.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue Aug 30 19:19:05 EDT 2022
% 0.15/0.30 % CPUTime :
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% 0.15/0.52 % (10545)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/75Mi)
% 0.15/0.52 % (10553)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/467Mi)
% 0.15/0.53 % (10553)First to succeed.
% 0.15/0.53 % (10537)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 0.15/0.53 % (10535)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/48Mi)
% 0.15/0.53 % (10553)Refutation found. Thanks to Tanya!
% 0.15/0.53 % SZS status Theorem for theBenchmark
% 0.15/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.53 % (10553)------------------------------
% 0.15/0.53 % (10553)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.53 % (10553)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.53 % (10553)Termination reason: Refutation
% 0.15/0.53
% 0.15/0.53 % (10553)Memory used [KB]: 5500
% 0.15/0.53 % (10553)Time elapsed: 0.056 s
% 0.15/0.53 % (10553)Instructions burned: 5 (million)
% 0.15/0.53 % (10553)------------------------------
% 0.15/0.53 % (10553)------------------------------
% 0.15/0.53 % (10395)Success in time 0.226 s
%------------------------------------------------------------------------------