TSTP Solution File: SWV376+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --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 18:56:39 EDT 2022
% Result : Theorem 0.21s 0.53s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 11
% Syntax : Number of formulae : 55 ( 16 unt; 3 typ; 0 def)
% Number of atoms : 138 ( 7 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 151 ( 65 ~; 38 |; 24 &)
% ( 1 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 4 ( 0 usr; 3 ari)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 13 con; 0-3 aty)
% Number of variables : 196 ( 148 !; 48 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_11,type,
sQ13_eqProxy: ( $int * $int ) > $o ).
tff(pred_def_12,type,
sQ14_eqProxy: ( $rat * $rat ) > $o ).
tff(pred_def_13,type,
sQ15_eqProxy: ( $real * $real ) > $o ).
fof(f501,plain,
$false,
inference(subsumption_resolution,[],[f498,f217]) ).
fof(f217,plain,
! [X0,X1] : ~ ok(triple(X0,X1,bad)),
inference(literal_reordering,[],[f173]) ).
fof(f173,plain,
! [X0,X1] : ~ ok(triple(X0,X1,bad)),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0,X1] : ~ ok(triple(X0,X1,bad)),
inference(flattening,[],[f65]) ).
fof(f65,plain,
! [X0,X1] : ~ ok(triple(X0,X1,bad)),
inference(true_and_false_elimination,[],[f28]) ).
fof(f28,axiom,
! [X0,X1] :
( $false
<=> ok(triple(X0,X1,bad)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax40) ).
fof(f498,plain,
ok(triple(sK8,sK7,bad)),
inference(resolution,[],[f494,f345]) ).
fof(f345,plain,
succ_cpq(triple(sK8,sK7,bad),triple(sK10,sK11,sK9)),
inference(backward_demodulation,[],[f255,f339]) ).
fof(f339,plain,
bad = sK6,
inference(resolution,[],[f256,f260]) ).
fof(f260,plain,
~ ok(triple(sK8,sK7,sK6)),
inference(literal_reordering,[],[f209]) ).
fof(f209,plain,
~ ok(triple(sK8,sK7,sK6)),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
( ~ ok(triple(sK8,sK7,sK6))
& ok(triple(sK10,sK11,sK9))
& succ_cpq(triple(sK8,sK7,sK6),triple(sK10,sK11,sK9)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8,sK9,sK10,sK11])],[f151,f153,f152]) ).
fof(f152,plain,
( ? [X0,X1,X2] :
( ~ ok(triple(X2,X1,X0))
& ? [X3,X4,X5] :
( ok(triple(X4,X5,X3))
& succ_cpq(triple(X2,X1,X0),triple(X4,X5,X3)) ) )
=> ( ~ ok(triple(sK8,sK7,sK6))
& ? [X5,X4,X3] :
( ok(triple(X4,X5,X3))
& succ_cpq(triple(sK8,sK7,sK6),triple(X4,X5,X3)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f153,plain,
( ? [X5,X4,X3] :
( ok(triple(X4,X5,X3))
& succ_cpq(triple(sK8,sK7,sK6),triple(X4,X5,X3)) )
=> ( ok(triple(sK10,sK11,sK9))
& succ_cpq(triple(sK8,sK7,sK6),triple(sK10,sK11,sK9)) ) ),
introduced(choice_axiom,[]) ).
fof(f151,plain,
? [X0,X1,X2] :
( ~ ok(triple(X2,X1,X0))
& ? [X3,X4,X5] :
( ok(triple(X4,X5,X3))
& succ_cpq(triple(X2,X1,X0),triple(X4,X5,X3)) ) ),
inference(rectify,[],[f104]) ).
fof(f104,plain,
? [X0,X1,X2] :
( ~ ok(triple(X2,X1,X0))
& ? [X3,X5,X4] :
( ok(triple(X5,X4,X3))
& succ_cpq(triple(X2,X1,X0),triple(X5,X4,X3)) ) ),
inference(ennf_transformation,[],[f76]) ).
fof(f76,plain,
~ ! [X1,X2,X0] :
( ~ ok(triple(X2,X1,X0))
=> ! [X5,X4,X3] :
( succ_cpq(triple(X2,X1,X0),triple(X5,X4,X3))
=> ~ ok(triple(X5,X4,X3)) ) ),
inference(rectify,[],[f45]) ).
fof(f45,negated_conjecture,
~ ! [X2,X1,X0] :
( ~ ok(triple(X0,X1,X2))
=> ! [X5,X4,X3] :
( succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
=> ~ ok(triple(X3,X4,X5)) ) ),
inference(negated_conjecture,[],[f44]) ).
fof(f44,conjecture,
! [X2,X1,X0] :
( ~ ok(triple(X0,X1,X2))
=> ! [X5,X4,X3] :
( succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
=> ~ ok(triple(X3,X4,X5)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l12_co) ).
fof(f256,plain,
! [X2,X0,X1] :
( ok(triple(X0,X1,X2))
| bad = X2 ),
inference(literal_reordering,[],[f160]) ).
fof(f160,plain,
! [X2,X0,X1] :
( bad = X2
| ok(triple(X0,X1,X2)) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0,X1,X2] :
( bad = X2
| ok(triple(X0,X1,X2)) ),
inference(rectify,[],[f99]) ).
fof(f99,plain,
! [X1,X2,X0] :
( bad = X0
| ok(triple(X1,X2,X0)) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X2,X1] :
( ~ ok(triple(X1,X2,X0))
=> bad = X0 ),
inference(rectify,[],[f29]) ).
fof(f29,axiom,
! [X2,X0,X1] :
( ~ ok(triple(X0,X1,X2))
=> bad = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax41) ).
fof(f255,plain,
succ_cpq(triple(sK8,sK7,sK6),triple(sK10,sK11,sK9)),
inference(literal_reordering,[],[f207]) ).
fof(f207,plain,
succ_cpq(triple(sK8,sK7,sK6),triple(sK10,sK11,sK9)),
inference(cnf_transformation,[],[f154]) ).
fof(f494,plain,
! [X2,X0,X1] :
( ~ succ_cpq(triple(X0,X1,X2),triple(sK10,sK11,sK9))
| ok(triple(X0,X1,X2)) ),
inference(resolution,[],[f491,f239]) ).
fof(f239,plain,
ok(triple(sK10,sK11,sK9)),
inference(literal_reordering,[],[f208]) ).
fof(f208,plain,
ok(triple(sK10,sK11,sK9)),
inference(cnf_transformation,[],[f154]) ).
fof(f491,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ ok(triple(X3,X5,X4))
| ~ succ_cpq(triple(X0,X1,X2),triple(X3,X5,X4))
| ok(triple(X0,X1,X2)) ),
inference(subsumption_resolution,[],[f236,f488]) ).
fof(f488,plain,
ok(triple(sK1,sK5,sK2)),
inference(resolution,[],[f482,f235]) ).
fof(f235,plain,
! [X2,X0,X1] :
( ~ ok(im_succ_cpq(triple(X0,X1,X2)))
| ok(triple(X0,X1,X2)) ),
inference(literal_reordering,[],[f198]) ).
fof(f198,plain,
! [X2,X0,X1] :
( ~ ok(im_succ_cpq(triple(X0,X1,X2)))
| ok(triple(X0,X1,X2)) ),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
! [X0,X1,X2] :
( ok(triple(X0,X1,X2))
| ~ ok(im_succ_cpq(triple(X0,X1,X2))) ),
inference(rectify,[],[f103]) ).
fof(f103,plain,
! [X1,X2,X0] :
( ok(triple(X1,X2,X0))
| ~ ok(im_succ_cpq(triple(X1,X2,X0))) ),
inference(ennf_transformation,[],[f73]) ).
fof(f73,plain,
! [X1,X0,X2] :
( ~ ok(triple(X1,X2,X0))
=> ~ ok(im_succ_cpq(triple(X1,X2,X0))) ),
inference(rectify,[],[f43]) ).
fof(f43,axiom,
! [X2,X0,X1] :
( ~ ok(triple(X0,X1,X2))
=> ~ ok(im_succ_cpq(triple(X0,X1,X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l12_l13) ).
fof(f482,plain,
ok(im_succ_cpq(triple(sK1,sK5,sK2))),
inference(subsumption_resolution,[],[f479,f217]) ).
fof(f479,plain,
( ok(triple(sK8,sK7,bad))
| ok(im_succ_cpq(triple(sK1,sK5,sK2))) ),
inference(resolution,[],[f425,f345]) ).
fof(f425,plain,
! [X2,X0,X1] :
( ~ succ_cpq(triple(X0,X1,X2),triple(sK10,sK11,sK9))
| ok(triple(X0,X1,X2))
| ok(im_succ_cpq(triple(sK1,sK5,sK2))) ),
inference(resolution,[],[f253,f239]) ).
fof(f253,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ ok(triple(X3,X5,X4))
| ~ succ_cpq(triple(X0,X1,X2),triple(X3,X5,X4))
| ok(im_succ_cpq(triple(sK1,sK5,sK2)))
| ok(triple(X0,X1,X2)) ),
inference(literal_reordering,[],[f180]) ).
fof(f180,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ ok(triple(X3,X5,X4))
| ok(triple(X0,X1,X2))
| ~ succ_cpq(triple(X0,X1,X2),triple(X3,X5,X4))
| ok(im_succ_cpq(triple(sK1,sK5,sK2))) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
( ! [X0,X1,X2] :
( ! [X3,X4,X5] :
( ~ ok(triple(X3,X5,X4))
| ~ succ_cpq(triple(X0,X1,X2),triple(X3,X5,X4)) )
| ok(triple(X0,X1,X2)) )
| ( ok(im_succ_cpq(triple(sK1,sK5,sK2)))
& ~ ok(triple(sK1,sK5,sK2))
& succ_cpq(triple(sK3,sK0,sK4),triple(sK1,sK5,sK2)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f129,f130]) ).
fof(f130,plain,
( ? [X6,X7,X8,X9,X10,X11] :
( ok(im_succ_cpq(triple(X7,X11,X8)))
& ~ ok(triple(X7,X11,X8))
& succ_cpq(triple(X9,X6,X10),triple(X7,X11,X8)) )
=> ( ok(im_succ_cpq(triple(sK1,sK5,sK2)))
& ~ ok(triple(sK1,sK5,sK2))
& succ_cpq(triple(sK3,sK0,sK4),triple(sK1,sK5,sK2)) ) ),
introduced(choice_axiom,[]) ).
fof(f129,plain,
( ! [X0,X1,X2] :
( ! [X3,X4,X5] :
( ~ ok(triple(X3,X5,X4))
| ~ succ_cpq(triple(X0,X1,X2),triple(X3,X5,X4)) )
| ok(triple(X0,X1,X2)) )
| ? [X6,X7,X8,X9,X10,X11] :
( ok(im_succ_cpq(triple(X7,X11,X8)))
& ~ ok(triple(X7,X11,X8))
& succ_cpq(triple(X9,X6,X10),triple(X7,X11,X8)) ) ),
inference(rectify,[],[f82]) ).
fof(f82,plain,
( ! [X7,X8,X6] :
( ! [X9,X10,X11] :
( ~ ok(triple(X9,X11,X10))
| ~ succ_cpq(triple(X7,X8,X6),triple(X9,X11,X10)) )
| ok(triple(X7,X8,X6)) )
| ? [X2,X0,X1,X4,X5,X3] :
( ok(im_succ_cpq(triple(X0,X3,X1)))
& ~ ok(triple(X0,X3,X1))
& succ_cpq(triple(X4,X2,X5),triple(X0,X3,X1)) ) ),
inference(flattening,[],[f81]) ).
fof(f81,plain,
( ! [X7,X8,X6] :
( ! [X9,X10,X11] :
( ~ ok(triple(X9,X11,X10))
| ~ succ_cpq(triple(X7,X8,X6),triple(X9,X11,X10)) )
| ok(triple(X7,X8,X6)) )
| ? [X5,X2,X1,X3,X0,X4] :
( ok(im_succ_cpq(triple(X0,X3,X1)))
& ~ ok(triple(X0,X3,X1))
& succ_cpq(triple(X4,X2,X5),triple(X0,X3,X1)) ) ),
inference(ennf_transformation,[],[f79]) ).
fof(f79,plain,
( ! [X5,X2,X1,X3,X0,X4] :
( succ_cpq(triple(X4,X2,X5),triple(X0,X3,X1))
=> ( ~ ok(triple(X0,X3,X1))
=> ~ ok(im_succ_cpq(triple(X0,X3,X1))) ) )
=> ! [X7,X6,X8] :
( ~ ok(triple(X7,X8,X6))
=> ! [X11,X9,X10] :
( succ_cpq(triple(X7,X8,X6),triple(X9,X11,X10))
=> ~ ok(triple(X9,X11,X10)) ) ) ),
inference(rectify,[],[f42]) ).
fof(f42,axiom,
( ! [X3,X5,X1,X4,X0,X2] :
( succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
=> ( ~ ok(triple(X3,X4,X5))
=> ~ ok(im_succ_cpq(triple(X3,X4,X5))) ) )
=> ! [X8,X6,X7] :
( ~ 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/sandbox2/benchmark/theBenchmark.p',l12_induction) ).
fof(f236,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ ok(triple(sK1,sK5,sK2))
| ok(triple(X0,X1,X2))
| ~ ok(triple(X3,X5,X4))
| ~ succ_cpq(triple(X0,X1,X2),triple(X3,X5,X4)) ),
inference(literal_reordering,[],[f179]) ).
fof(f179,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ ok(triple(sK1,sK5,sK2))
| ~ succ_cpq(triple(X0,X1,X2),triple(X3,X5,X4))
| ~ ok(triple(X3,X5,X4))
| ok(triple(X0,X1,X2)) ),
inference(cnf_transformation,[],[f131]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV376+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n020.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 19:22:45 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.48 % (17015)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.48 % (17023)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.21/0.49 % (17007)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.51 % (17022)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.51 TRYING [1]
% 0.21/0.52 % (17015)First to succeed.
% 0.21/0.52 % (17002)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.52 TRYING [2]
% 0.21/0.52 % (17030)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.21/0.52 % (17014)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.52 % (17011)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.53 % (17015)Refutation found. Thanks to Tanya!
% 0.21/0.53 % SZS status Theorem for theBenchmark
% 0.21/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.53 % (17015)------------------------------
% 0.21/0.53 % (17015)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (17015)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (17015)Termination reason: Refutation
% 0.21/0.53
% 0.21/0.53 % (17015)Memory used [KB]: 6140
% 0.21/0.53 % (17015)Time elapsed: 0.022 s
% 0.21/0.53 % (17015)Instructions burned: 18 (million)
% 0.21/0.53 % (17015)------------------------------
% 0.21/0.53 % (17015)------------------------------
% 0.21/0.53 % (17000)Success in time 0.168 s
%------------------------------------------------------------------------------