TSTP Solution File: SWV388+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWV388+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 : 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 18:45:25 EDT 2022
% Result : Theorem 0.15s 0.49s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 4 unt; 0 def)
% Number of atoms : 41 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 49 ( 25 ~; 6 |; 12 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-3 aty)
% Number of variables : 36 ( 24 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f140,plain,
$false,
inference(subsumption_resolution,[],[f138,f106]) ).
fof(f106,plain,
~ check_cpq(triple(sK0,sK2,sK1)),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
( ok(findmin_cpq_eff(triple(sK0,sK2,sK1)))
& ~ check_cpq(triple(sK0,sK2,sK1))
& check_cpq(findmin_cpq_eff(triple(sK0,sK2,sK1))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f83,f84]) ).
fof(f84,plain,
( ? [X0,X1,X2] :
( ok(findmin_cpq_eff(triple(X0,X2,X1)))
& ~ check_cpq(triple(X0,X2,X1))
& check_cpq(findmin_cpq_eff(triple(X0,X2,X1))) )
=> ( ok(findmin_cpq_eff(triple(sK0,sK2,sK1)))
& ~ check_cpq(triple(sK0,sK2,sK1))
& check_cpq(findmin_cpq_eff(triple(sK0,sK2,sK1))) ) ),
introduced(choice_axiom,[]) ).
fof(f83,plain,
? [X0,X1,X2] :
( ok(findmin_cpq_eff(triple(X0,X2,X1)))
& ~ check_cpq(triple(X0,X2,X1))
& check_cpq(findmin_cpq_eff(triple(X0,X2,X1))) ),
inference(rectify,[],[f63]) ).
fof(f63,plain,
? [X1,X0,X2] :
( ok(findmin_cpq_eff(triple(X1,X2,X0)))
& ~ check_cpq(triple(X1,X2,X0))
& check_cpq(findmin_cpq_eff(triple(X1,X2,X0))) ),
inference(flattening,[],[f62]) ).
fof(f62,plain,
? [X1,X0,X2] :
( ok(findmin_cpq_eff(triple(X1,X2,X0)))
& check_cpq(findmin_cpq_eff(triple(X1,X2,X0)))
& ~ check_cpq(triple(X1,X2,X0)) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,plain,
~ ! [X1,X0,X2] :
( ~ check_cpq(triple(X1,X2,X0))
=> ( ~ ok(findmin_cpq_eff(triple(X1,X2,X0)))
| ~ check_cpq(findmin_cpq_eff(triple(X1,X2,X0))) ) ),
inference(rectify,[],[f44]) ).
fof(f44,negated_conjecture,
~ ! [X2,X0,X1] :
( ~ check_cpq(triple(X0,X1,X2))
=> ( ~ ok(findmin_cpq_eff(triple(X0,X1,X2)))
| ~ check_cpq(findmin_cpq_eff(triple(X0,X1,X2))) ) ),
inference(negated_conjecture,[],[f43]) ).
fof(f43,conjecture,
! [X2,X0,X1] :
( ~ check_cpq(triple(X0,X1,X2))
=> ( ~ ok(findmin_cpq_eff(triple(X0,X1,X2)))
| ~ check_cpq(findmin_cpq_eff(triple(X0,X1,X2))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l24_co) ).
fof(f138,plain,
check_cpq(triple(sK0,sK2,sK1)),
inference(resolution,[],[f99,f105]) ).
fof(f105,plain,
check_cpq(findmin_cpq_eff(triple(sK0,sK2,sK1))),
inference(cnf_transformation,[],[f85]) ).
fof(f99,plain,
! [X2,X0,X1] :
( ~ check_cpq(findmin_cpq_eff(triple(X0,X1,X2)))
| check_cpq(triple(X0,X1,X2)) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0,X1,X2] :
( check_cpq(triple(X0,X1,X2))
| ~ check_cpq(findmin_cpq_eff(triple(X0,X1,X2))) ),
inference(rectify,[],[f72]) ).
fof(f72,plain,
! [X2,X1,X0] :
( check_cpq(triple(X2,X1,X0))
| ~ check_cpq(findmin_cpq_eff(triple(X2,X1,X0))) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0,X1,X2] :
( ~ check_cpq(triple(X2,X1,X0))
=> ~ check_cpq(findmin_cpq_eff(triple(X2,X1,X0))) ),
inference(rectify,[],[f42]) ).
fof(f42,axiom,
! [X2,X1,X0] :
( ~ check_cpq(triple(X0,X1,X2))
=> ~ check_cpq(findmin_cpq_eff(triple(X0,X1,X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l24_l34) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SWV388+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_uns --cores 0 -t %d %s
% 0.09/0.30 % Computer : n009.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue Aug 30 19:18:50 EDT 2022
% 0.09/0.30 % CPUTime :
% 0.15/0.47 % (9768)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.15/0.48 % (9768)First to succeed.
% 0.15/0.48 % (9789)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.15/0.48 % (9786)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)
% 0.15/0.48 % (9779)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.49 % (9768)Refutation found. Thanks to Tanya!
% 0.15/0.49 % SZS status Theorem for theBenchmark
% 0.15/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.49 % (9768)------------------------------
% 0.15/0.49 % (9768)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.49 % (9768)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.49 % (9768)Termination reason: Refutation
% 0.15/0.49
% 0.15/0.49 % (9768)Memory used [KB]: 6012
% 0.15/0.49 % (9768)Time elapsed: 0.108 s
% 0.15/0.49 % (9768)Instructions burned: 3 (million)
% 0.15/0.49 % (9768)------------------------------
% 0.15/0.49 % (9768)------------------------------
% 0.15/0.49 % (9763)Success in time 0.175 s
%------------------------------------------------------------------------------