TSTP Solution File: SWV387+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWV387+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 : n008.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 0.18s 0.47s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 4 unt; 0 def)
% Number of atoms : 50 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 57 ( 25 ~; 11 |; 14 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-3 aty)
% Number of variables : 50 ( 36 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f186,plain,
$false,
inference(unit_resulting_resolution,[],[f136,f137,f138,f140]) ).
fof(f140,plain,
! [X2,X3,X0,X1] :
( ~ ok(remove_cpq(triple(X0,X1,X3),X2))
| check_cpq(triple(X0,X1,X3))
| ~ check_cpq(remove_cpq(triple(X0,X1,X3),X2)) ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0,X1,X2,X3] :
( ~ check_cpq(remove_cpq(triple(X0,X1,X3),X2))
| ~ ok(remove_cpq(triple(X0,X1,X3),X2))
| check_cpq(triple(X0,X1,X3)) ),
inference(rectify,[],[f87]) ).
fof(f87,plain,
! [X2,X1,X0,X3] :
( ~ check_cpq(remove_cpq(triple(X2,X1,X3),X0))
| ~ ok(remove_cpq(triple(X2,X1,X3),X0))
| check_cpq(triple(X2,X1,X3)) ),
inference(flattening,[],[f86]) ).
fof(f86,plain,
! [X1,X0,X2,X3] :
( check_cpq(triple(X2,X1,X3))
| ~ check_cpq(remove_cpq(triple(X2,X1,X3),X0))
| ~ ok(remove_cpq(triple(X2,X1,X3),X0)) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,plain,
! [X1,X0,X2,X3] :
( ( check_cpq(remove_cpq(triple(X2,X1,X3),X0))
& ok(remove_cpq(triple(X2,X1,X3),X0)) )
=> check_cpq(triple(X2,X1,X3)) ),
inference(rectify,[],[f42]) ).
fof(f42,axiom,
! [X3,X1,X0,X2] :
( ( check_cpq(remove_cpq(triple(X0,X1,X2),X3))
& ok(remove_cpq(triple(X0,X1,X2),X3)) )
=> check_cpq(triple(X0,X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l23_l027) ).
fof(f138,plain,
ok(remove_cpq(triple(sK1,sK0,sK2),sK3)),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
( ok(remove_cpq(triple(sK1,sK0,sK2),sK3))
& check_cpq(remove_cpq(triple(sK1,sK0,sK2),sK3))
& ~ check_cpq(triple(sK1,sK0,sK2)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f106,f108,f107]) ).
fof(f107,plain,
( ? [X0,X1,X2] :
( ? [X3] :
( ok(remove_cpq(triple(X1,X0,X2),X3))
& check_cpq(remove_cpq(triple(X1,X0,X2),X3)) )
& ~ check_cpq(triple(X1,X0,X2)) )
=> ( ? [X3] :
( ok(remove_cpq(triple(sK1,sK0,sK2),X3))
& check_cpq(remove_cpq(triple(sK1,sK0,sK2),X3)) )
& ~ check_cpq(triple(sK1,sK0,sK2)) ) ),
introduced(choice_axiom,[]) ).
fof(f108,plain,
( ? [X3] :
( ok(remove_cpq(triple(sK1,sK0,sK2),X3))
& check_cpq(remove_cpq(triple(sK1,sK0,sK2),X3)) )
=> ( ok(remove_cpq(triple(sK1,sK0,sK2),sK3))
& check_cpq(remove_cpq(triple(sK1,sK0,sK2),sK3)) ) ),
introduced(choice_axiom,[]) ).
fof(f106,plain,
? [X0,X1,X2] :
( ? [X3] :
( ok(remove_cpq(triple(X1,X0,X2),X3))
& check_cpq(remove_cpq(triple(X1,X0,X2),X3)) )
& ~ check_cpq(triple(X1,X0,X2)) ),
inference(rectify,[],[f89]) ).
fof(f89,plain,
? [X2,X0,X1] :
( ? [X3] :
( ok(remove_cpq(triple(X0,X2,X1),X3))
& check_cpq(remove_cpq(triple(X0,X2,X1),X3)) )
& ~ check_cpq(triple(X0,X2,X1)) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,plain,
~ ! [X0,X2,X1] :
( ~ check_cpq(triple(X0,X2,X1))
=> ! [X3] :
( ~ ok(remove_cpq(triple(X0,X2,X1),X3))
| ~ check_cpq(remove_cpq(triple(X0,X2,X1),X3)) ) ),
inference(rectify,[],[f44]) ).
fof(f44,negated_conjecture,
~ ! [X0,X2,X1] :
( ~ check_cpq(triple(X0,X1,X2))
=> ! [X3] :
( ~ ok(remove_cpq(triple(X0,X1,X2),X3))
| ~ check_cpq(remove_cpq(triple(X0,X1,X2),X3)) ) ),
inference(negated_conjecture,[],[f43]) ).
fof(f43,conjecture,
! [X0,X2,X1] :
( ~ check_cpq(triple(X0,X1,X2))
=> ! [X3] :
( ~ ok(remove_cpq(triple(X0,X1,X2),X3))
| ~ check_cpq(remove_cpq(triple(X0,X1,X2),X3)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l23_co) ).
fof(f137,plain,
check_cpq(remove_cpq(triple(sK1,sK0,sK2),sK3)),
inference(cnf_transformation,[],[f109]) ).
fof(f136,plain,
~ check_cpq(triple(sK1,sK0,sK2)),
inference(cnf_transformation,[],[f109]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV387+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % 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 : n008.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 19:25:10 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.46 % (1699)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.18/0.47 % (1699)First to succeed.
% 0.18/0.47 % (1707)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.47 % (1699)Refutation found. Thanks to Tanya!
% 0.18/0.47 % SZS status Theorem for theBenchmark
% 0.18/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.47 % (1699)------------------------------
% 0.18/0.47 % (1699)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.47 % (1699)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.47 % (1699)Termination reason: Refutation
% 0.18/0.47
% 0.18/0.47 % (1699)Memory used [KB]: 6140
% 0.18/0.47 % (1699)Time elapsed: 0.073 s
% 0.18/0.47 % (1699)Instructions burned: 5 (million)
% 0.18/0.47 % (1699)------------------------------
% 0.18/0.47 % (1699)------------------------------
% 0.18/0.47 % (1688)Success in time 0.132 s
%------------------------------------------------------------------------------