TSTP Solution File: SWV376+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWV376+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 : n020.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 0.21s 0.56s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 33 ( 7 unt; 0 def)
% Number of atoms : 105 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 127 ( 55 ~; 27 |; 24 &)
% ( 0 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-3 aty)
% Number of variables : 141 ( 93 !; 48 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f114,plain,
$false,
inference(subsumption_resolution,[],[f113,f87]) ).
fof(f87,plain,
~ ok(triple(sK4,sK2,sK0)),
inference(subsumption_resolution,[],[f86,f74]) ).
fof(f74,plain,
ok(triple(sK10,sK11,sK9)),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
( ~ ok(triple(sK7,sK8,sK6))
& succ_cpq(triple(sK7,sK8,sK6),triple(sK10,sK11,sK9))
& ok(triple(sK10,sK11,sK9)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8,sK9,sK10,sK11])],[f63,f65,f64]) ).
fof(f64,plain,
( ? [X0,X1,X2] :
( ~ ok(triple(X1,X2,X0))
& ? [X3,X4,X5] :
( succ_cpq(triple(X1,X2,X0),triple(X4,X5,X3))
& ok(triple(X4,X5,X3)) ) )
=> ( ~ ok(triple(sK7,sK8,sK6))
& ? [X5,X4,X3] :
( succ_cpq(triple(sK7,sK8,sK6),triple(X4,X5,X3))
& ok(triple(X4,X5,X3)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f65,plain,
( ? [X5,X4,X3] :
( succ_cpq(triple(sK7,sK8,sK6),triple(X4,X5,X3))
& ok(triple(X4,X5,X3)) )
=> ( succ_cpq(triple(sK7,sK8,sK6),triple(sK10,sK11,sK9))
& ok(triple(sK10,sK11,sK9)) ) ),
introduced(choice_axiom,[]) ).
fof(f63,plain,
? [X0,X1,X2] :
( ~ ok(triple(X1,X2,X0))
& ? [X3,X4,X5] :
( succ_cpq(triple(X1,X2,X0),triple(X4,X5,X3))
& ok(triple(X4,X5,X3)) ) ),
inference(rectify,[],[f54]) ).
fof(f54,plain,
? [X2,X0,X1] :
( ~ ok(triple(X0,X1,X2))
& ? [X5,X4,X3] :
( succ_cpq(triple(X0,X1,X2),triple(X4,X3,X5))
& ok(triple(X4,X3,X5)) ) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,plain,
~ ! [X0,X2,X1] :
( ~ ok(triple(X0,X1,X2))
=> ! [X3,X4,X5] :
( succ_cpq(triple(X0,X1,X2),triple(X4,X3,X5))
=> ~ ok(triple(X4,X3,X5)) ) ),
inference(rectify,[],[f45]) ).
fof(f45,negated_conjecture,
~ ! [X0,X1,X2] :
( ~ ok(triple(X0,X1,X2))
=> ! [X4,X3,X5] :
( succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
=> ~ ok(triple(X3,X4,X5)) ) ),
inference(negated_conjecture,[],[f44]) ).
fof(f44,conjecture,
! [X0,X1,X2] :
( ~ ok(triple(X0,X1,X2))
=> ! [X4,X3,X5] :
( succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
=> ~ ok(triple(X3,X4,X5)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l12_co) ).
fof(f86,plain,
( ~ ok(triple(sK10,sK11,sK9))
| ~ ok(triple(sK4,sK2,sK0)) ),
inference(subsumption_resolution,[],[f81,f76]) ).
fof(f76,plain,
~ ok(triple(sK7,sK8,sK6)),
inference(cnf_transformation,[],[f66]) ).
fof(f81,plain,
( ~ ok(triple(sK4,sK2,sK0))
| ok(triple(sK7,sK8,sK6))
| ~ ok(triple(sK10,sK11,sK9)) ),
inference(resolution,[],[f75,f70]) ).
fof(f70,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ succ_cpq(triple(X0,X1,X2),triple(X4,X3,X5))
| ~ ok(triple(X4,X3,X5))
| ok(triple(X0,X1,X2))
| ~ ok(triple(sK4,sK2,sK0)) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
( ! [X0,X1,X2] :
( ! [X3,X4,X5] :
( ~ succ_cpq(triple(X0,X1,X2),triple(X4,X3,X5))
| ~ ok(triple(X4,X3,X5)) )
| ok(triple(X0,X1,X2)) )
| ( succ_cpq(triple(sK5,sK3,sK1),triple(sK4,sK2,sK0))
& ~ ok(triple(sK4,sK2,sK0))
& ok(im_succ_cpq(triple(sK4,sK2,sK0))) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f59,f60]) ).
fof(f60,plain,
( ? [X6,X7,X8,X9,X10,X11] :
( succ_cpq(triple(X11,X9,X7),triple(X10,X8,X6))
& ~ ok(triple(X10,X8,X6))
& ok(im_succ_cpq(triple(X10,X8,X6))) )
=> ( succ_cpq(triple(sK5,sK3,sK1),triple(sK4,sK2,sK0))
& ~ ok(triple(sK4,sK2,sK0))
& ok(im_succ_cpq(triple(sK4,sK2,sK0))) ) ),
introduced(choice_axiom,[]) ).
fof(f59,plain,
( ! [X0,X1,X2] :
( ! [X3,X4,X5] :
( ~ succ_cpq(triple(X0,X1,X2),triple(X4,X3,X5))
| ~ ok(triple(X4,X3,X5)) )
| ok(triple(X0,X1,X2)) )
| ? [X6,X7,X8,X9,X10,X11] :
( succ_cpq(triple(X11,X9,X7),triple(X10,X8,X6))
& ~ ok(triple(X10,X8,X6))
& ok(im_succ_cpq(triple(X10,X8,X6))) ) ),
inference(rectify,[],[f56]) ).
fof(f56,plain,
( ! [X6,X7,X8] :
( ! [X11,X9,X10] :
( ~ succ_cpq(triple(X6,X7,X8),triple(X9,X11,X10))
| ~ ok(triple(X9,X11,X10)) )
| ok(triple(X6,X7,X8)) )
| ? [X4,X2,X3,X5,X1,X0] :
( succ_cpq(triple(X0,X5,X2),triple(X1,X3,X4))
& ~ ok(triple(X1,X3,X4))
& ok(im_succ_cpq(triple(X1,X3,X4))) ) ),
inference(flattening,[],[f55]) ).
fof(f55,plain,
( ! [X6,X7,X8] :
( ! [X11,X9,X10] :
( ~ succ_cpq(triple(X6,X7,X8),triple(X9,X11,X10))
| ~ ok(triple(X9,X11,X10)) )
| ok(triple(X6,X7,X8)) )
| ? [X0,X2,X4,X3,X5,X1] :
( ok(im_succ_cpq(triple(X1,X3,X4)))
& ~ ok(triple(X1,X3,X4))
& succ_cpq(triple(X0,X5,X2),triple(X1,X3,X4)) ) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,plain,
( ! [X0,X2,X4,X3,X5,X1] :
( succ_cpq(triple(X0,X5,X2),triple(X1,X3,X4))
=> ( ~ ok(triple(X1,X3,X4))
=> ~ ok(im_succ_cpq(triple(X1,X3,X4))) ) )
=> ! [X6,X8,X7] :
( ~ ok(triple(X6,X7,X8))
=> ! [X10,X9,X11] :
( succ_cpq(triple(X6,X7,X8),triple(X9,X11,X10))
=> ~ ok(triple(X9,X11,X10)) ) ) ),
inference(rectify,[],[f42]) ).
fof(f42,axiom,
( ! [X0,X3,X2,X4,X5,X1] :
( succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
=> ( ~ ok(triple(X3,X4,X5))
=> ~ ok(im_succ_cpq(triple(X3,X4,X5))) ) )
=> ! [X6,X7,X8] :
( ~ ok(triple(X6,X7,X8))
=> ! [X9,X11,X10] :
( succ_cpq(triple(X6,X7,X8),triple(X9,X10,X11))
=> ~ ok(triple(X9,X10,X11)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l12_induction) ).
fof(f75,plain,
succ_cpq(triple(sK7,sK8,sK6),triple(sK10,sK11,sK9)),
inference(cnf_transformation,[],[f66]) ).
fof(f113,plain,
ok(triple(sK4,sK2,sK0)),
inference(resolution,[],[f73,f83]) ).
fof(f83,plain,
ok(im_succ_cpq(triple(sK4,sK2,sK0))),
inference(subsumption_resolution,[],[f82,f74]) ).
fof(f82,plain,
( ok(im_succ_cpq(triple(sK4,sK2,sK0)))
| ~ ok(triple(sK10,sK11,sK9)) ),
inference(subsumption_resolution,[],[f80,f76]) ).
fof(f80,plain,
( ok(triple(sK7,sK8,sK6))
| ~ ok(triple(sK10,sK11,sK9))
| ok(im_succ_cpq(triple(sK4,sK2,sK0))) ),
inference(resolution,[],[f75,f69]) ).
fof(f69,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ succ_cpq(triple(X0,X1,X2),triple(X4,X3,X5))
| ~ ok(triple(X4,X3,X5))
| ok(im_succ_cpq(triple(sK4,sK2,sK0)))
| ok(triple(X0,X1,X2)) ),
inference(cnf_transformation,[],[f61]) ).
fof(f73,plain,
! [X2,X0,X1] :
( ~ ok(im_succ_cpq(triple(X0,X1,X2)))
| ok(triple(X0,X1,X2)) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0,X1,X2] :
( ~ ok(im_succ_cpq(triple(X0,X1,X2)))
| ok(triple(X0,X1,X2)) ),
inference(rectify,[],[f53]) ).
fof(f53,plain,
! [X1,X0,X2] :
( ~ ok(im_succ_cpq(triple(X1,X0,X2)))
| ok(triple(X1,X0,X2)) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X2,X1] :
( ~ ok(triple(X1,X0,X2))
=> ~ ok(im_succ_cpq(triple(X1,X0,X2))) ),
inference(rectify,[],[f43]) ).
fof(f43,axiom,
! [X1,X0,X2] :
( ~ ok(triple(X0,X1,X2))
=> ~ ok(im_succ_cpq(triple(X0,X1,X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l12_l13) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWV376+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 19:26:15 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.53 % (26343)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)
% 0.21/0.55 % (26350)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.55 % (26366)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.21/0.55 % (26343)First to succeed.
% 0.21/0.55 % (26366)Also succeeded, but the first one will report.
% 0.21/0.55 % (26358)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.21/0.56 % (26343)Refutation found. Thanks to Tanya!
% 0.21/0.56 % SZS status Theorem for theBenchmark
% 0.21/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.56 % (26343)------------------------------
% 0.21/0.56 % (26343)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (26343)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (26343)Termination reason: Refutation
% 0.21/0.56
% 0.21/0.56 % (26343)Memory used [KB]: 1535
% 0.21/0.56 % (26343)Time elapsed: 0.134 s
% 0.21/0.56 % (26343)Instructions burned: 3 (million)
% 0.21/0.56 % (26343)------------------------------
% 0.21/0.56 % (26343)------------------------------
% 0.21/0.56 % (26337)Success in time 0.199 s
%------------------------------------------------------------------------------