TSTP Solution File: SWV377+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWV377+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 : n022.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 18:45:22 EDT 2022
% Result : Theorem 0.18s 0.50s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 35 ( 20 unt; 0 def)
% Number of atoms : 52 ( 14 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 41 ( 24 ~; 4 |; 5 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-3 aty)
% Number of variables : 71 ( 59 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f307,plain,
$false,
inference(subsumption_resolution,[],[f306,f205]) ).
fof(f205,plain,
ok(sF5),
inference(definition_folding,[],[f148,f204,f202]) ).
fof(f202,plain,
triple(sK1,sK3,sK2) = sF4,
introduced(function_definition,[]) ).
fof(f204,plain,
insert_cpq(sF4,sK0) = sF5,
introduced(function_definition,[]) ).
fof(f148,plain,
ok(insert_cpq(triple(sK1,sK3,sK2),sK0)),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
( ~ ok(triple(sK1,sK3,sK2))
& ok(insert_cpq(triple(sK1,sK3,sK2),sK0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f112,f113]) ).
fof(f113,plain,
( ? [X0,X1,X2,X3] :
( ~ ok(triple(X1,X3,X2))
& ok(insert_cpq(triple(X1,X3,X2),X0)) )
=> ( ~ ok(triple(sK1,sK3,sK2))
& ok(insert_cpq(triple(sK1,sK3,sK2),sK0)) ) ),
introduced(choice_axiom,[]) ).
fof(f112,plain,
? [X0,X1,X2,X3] :
( ~ ok(triple(X1,X3,X2))
& ok(insert_cpq(triple(X1,X3,X2),X0)) ),
inference(rectify,[],[f106]) ).
fof(f106,plain,
? [X3,X2,X0,X1] :
( ~ ok(triple(X2,X1,X0))
& ok(insert_cpq(triple(X2,X1,X0),X3)) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,plain,
~ ! [X3,X1,X0,X2] :
( ~ ok(triple(X2,X1,X0))
=> ~ ok(insert_cpq(triple(X2,X1,X0),X3)) ),
inference(rectify,[],[f43]) ).
fof(f43,negated_conjecture,
~ ! [X2,X1,X0,X3] :
( ~ ok(triple(X0,X1,X2))
=> ~ ok(insert_cpq(triple(X0,X1,X2),X3)) ),
inference(negated_conjecture,[],[f42]) ).
fof(f42,conjecture,
! [X2,X1,X0,X3] :
( ~ ok(triple(X0,X1,X2))
=> ~ ok(insert_cpq(triple(X0,X1,X2),X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l13_co) ).
fof(f306,plain,
~ ok(sF5),
inference(superposition,[],[f291,f204]) ).
fof(f291,plain,
! [X0] : ~ ok(insert_cpq(sF4,X0)),
inference(superposition,[],[f275,f211]) ).
fof(f211,plain,
sF4 = triple(sK1,sK3,bad),
inference(backward_demodulation,[],[f202,f210]) ).
fof(f210,plain,
bad = sK2,
inference(subsumption_resolution,[],[f209,f203]) ).
fof(f203,plain,
~ ok(sF4),
inference(definition_folding,[],[f149,f202]) ).
fof(f149,plain,
~ ok(triple(sK1,sK3,sK2)),
inference(cnf_transformation,[],[f114]) ).
fof(f209,plain,
( bad = sK2
| ok(sF4) ),
inference(superposition,[],[f185,f202]) ).
fof(f185,plain,
! [X2,X0,X1] :
( ok(triple(X2,X0,X1))
| bad = X1 ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
! [X0,X1,X2] :
( ok(triple(X2,X0,X1))
| bad = X1 ),
inference(rectify,[],[f100]) ).
fof(f100,plain,
! [X1,X0,X2] :
( ok(triple(X2,X1,X0))
| bad = X0 ),
inference(ennf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X1,X2] :
( ~ ok(triple(X2,X1,X0))
=> bad = X0 ),
inference(rectify,[],[f29]) ).
fof(f29,axiom,
! [X2,X1,X0] :
( ~ ok(triple(X0,X1,X2))
=> bad = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax41) ).
fof(f275,plain,
! [X10,X11,X12] : ~ ok(insert_cpq(triple(X10,X12,bad),X11)),
inference(superposition,[],[f157,f160]) ).
fof(f160,plain,
! [X2,X3,X0,X1] : triple(insert_pqp(X0,X2),insert_slb(X1,pair(X2,bottom)),X3) = insert_cpq(triple(X0,X1,X3),X2),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0,X1,X2,X3] : triple(insert_pqp(X0,X2),insert_slb(X1,pair(X2,bottom)),X3) = insert_cpq(triple(X0,X1,X3),X2),
inference(rectify,[],[f53]) ).
fof(f53,plain,
! [X0,X3,X2,X1] : triple(insert_pqp(X0,X2),insert_slb(X3,pair(X2,bottom)),X1) = insert_cpq(triple(X0,X3,X1),X2),
inference(rectify,[],[f30]) ).
fof(f30,axiom,
! [X0,X2,X3,X1] : insert_cpq(triple(X0,X1,X2),X3) = triple(insert_pqp(X0,X3),insert_slb(X1,pair(X3,bottom)),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax42) ).
fof(f157,plain,
! [X0,X1] : ~ ok(triple(X0,X1,bad)),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0,X1] : ~ ok(triple(X0,X1,bad)),
inference(rectify,[],[f67]) ).
fof(f67,plain,
! [X1,X0] : ~ ok(triple(X1,X0,bad)),
inference(flattening,[],[f66]) ).
fof(f66,plain,
! [X0,X1] : ~ ok(triple(X1,X0,bad)),
inference(true_and_false_elimination,[],[f65]) ).
fof(f65,plain,
! [X0,X1] :
( $false
<=> ok(triple(X1,X0,bad)) ),
inference(rectify,[],[f28]) ).
fof(f28,axiom,
! [X1,X0] :
( $false
<=> ok(triple(X0,X1,bad)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax40) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV377+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 : n022.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 19:21:56 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.49 % (12273)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.18/0.50 % (12252)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.50 % (12254)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)
% 0.18/0.50 % (12250)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.18/0.50 % (12250)First to succeed.
% 0.18/0.50 % (12253)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.50 % (12255)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.18/0.50 % (12251)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.18/0.50 % (12250)Refutation found. Thanks to Tanya!
% 0.18/0.50 % SZS status Theorem for theBenchmark
% 0.18/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.51 % (12250)------------------------------
% 0.18/0.51 % (12250)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (12250)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (12250)Termination reason: Refutation
% 0.18/0.51
% 0.18/0.51 % (12250)Memory used [KB]: 6140
% 0.18/0.51 % (12250)Time elapsed: 0.108 s
% 0.18/0.51 % (12250)Instructions burned: 7 (million)
% 0.18/0.51 % (12250)------------------------------
% 0.18/0.51 % (12250)------------------------------
% 0.18/0.51 % (12249)Success in time 0.162 s
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