TSTP Solution File: KRS186+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KRS186+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 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 17:31:03 EDT 2022
% Result : Theorem 0.21s 0.54s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 38 ( 10 unt; 0 def)
% Number of atoms : 142 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 159 ( 55 ~; 52 |; 33 &)
% ( 9 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 96 ( 77 !; 19 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f428,plain,
$false,
inference(subsumption_resolution,[],[f426,f421]) ).
fof(f421,plain,
~ model(sK47(sK28(thm,eqv),sK27(thm,eqv)),sK27(thm,eqv)),
inference(resolution,[],[f420,f285]) ).
fof(f285,plain,
! [X0,X1] :
( status(X0,X1,thm)
| ~ model(sK47(X0,X1),X1) ),
inference(cnf_transformation,[],[f181]) ).
fof(f181,plain,
! [X0,X1] :
( ( status(X0,X1,thm)
| ( ~ model(sK47(X0,X1),X1)
& model(sK47(X0,X1),X0) ) )
& ( ! [X3] :
( model(X3,X1)
| ~ model(X3,X0) )
| ~ status(X0,X1,thm) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK47])],[f179,f180]) ).
fof(f180,plain,
! [X0,X1] :
( ? [X2] :
( ~ model(X2,X1)
& model(X2,X0) )
=> ( ~ model(sK47(X0,X1),X1)
& model(sK47(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f179,plain,
! [X0,X1] :
( ( status(X0,X1,thm)
| ? [X2] :
( ~ model(X2,X1)
& model(X2,X0) ) )
& ( ! [X3] :
( model(X3,X1)
| ~ model(X3,X0) )
| ~ status(X0,X1,thm) ) ),
inference(rectify,[],[f178]) ).
fof(f178,plain,
! [X1,X0] :
( ( status(X1,X0,thm)
| ? [X2] :
( ~ model(X2,X0)
& model(X2,X1) ) )
& ( ! [X2] :
( model(X2,X0)
| ~ model(X2,X1) )
| ~ status(X1,X0,thm) ) ),
inference(nnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X1,X0] :
( status(X1,X0,thm)
<=> ! [X2] :
( model(X2,X0)
| ~ model(X2,X1) ) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1] :
( ! [X2] :
( model(X2,X1)
=> model(X2,X0) )
<=> status(X1,X0,thm) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1,X0] :
( ! [X2] :
( model(X2,X0)
=> model(X2,X1) )
<=> status(X0,X1,thm) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm) ).
fof(f420,plain,
~ status(sK28(thm,eqv),sK27(thm,eqv),thm),
inference(resolution,[],[f249,f216]) ).
fof(f216,plain,
~ isa(eqv,thm),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
~ isa(eqv,thm),
inference(flattening,[],[f34]) ).
fof(f34,negated_conjecture,
~ isa(eqv,thm),
inference(negated_conjecture,[],[f33]) ).
fof(f33,conjecture,
isa(eqv,thm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',isa_eqv_thm) ).
fof(f249,plain,
! [X0,X1] :
( isa(X1,X0)
| ~ status(sK28(X0,X1),sK27(X0,X1),X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0,X1] :
( ( ~ status(sK28(X0,X1),sK27(X0,X1),X0)
& status(sK28(X0,X1),sK27(X0,X1),X1) )
| isa(X1,X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK27,sK28])],[f128,f129]) ).
fof(f129,plain,
! [X0,X1] :
( ? [X2,X3] :
( ~ status(X3,X2,X0)
& status(X3,X2,X1) )
=> ( ~ status(sK28(X0,X1),sK27(X0,X1),X0)
& status(sK28(X0,X1),sK27(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f128,plain,
! [X0,X1] :
( ? [X2,X3] :
( ~ status(X3,X2,X0)
& status(X3,X2,X1) )
| isa(X1,X0) ),
inference(rectify,[],[f66]) ).
fof(f66,plain,
! [X1,X0] :
( ? [X3,X2] :
( ~ status(X2,X3,X1)
& status(X2,X3,X0) )
| isa(X0,X1) ),
inference(ennf_transformation,[],[f62]) ).
fof(f62,plain,
! [X1,X0] :
( ! [X3,X2] :
( status(X2,X3,X0)
=> status(X2,X3,X1) )
=> isa(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f51]) ).
fof(f51,plain,
! [X1,X0] :
( ! [X3,X2] :
( status(X2,X3,X0)
=> status(X2,X3,X1) )
<=> isa(X0,X1) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X6,X7] :
( isa(X6,X7)
<=> ! [X0,X1] :
( status(X0,X1,X6)
=> status(X0,X1,X7) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',isa) ).
fof(f426,plain,
model(sK47(sK28(thm,eqv),sK27(thm,eqv)),sK27(thm,eqv)),
inference(resolution,[],[f422,f370]) ).
fof(f370,plain,
! [X1] :
( ~ model(X1,sK28(thm,eqv))
| model(X1,sK27(thm,eqv)) ),
inference(resolution,[],[f368,f305]) ).
fof(f305,plain,
! [X2,X0,X1] :
( ~ status(X1,X0,eqv)
| model(X2,X0)
| ~ model(X2,X1) ),
inference(cnf_transformation,[],[f211]) ).
fof(f211,plain,
! [X0,X1] :
( ( ( ! [X2] :
( ( model(X2,X1)
| ~ model(X2,X0) )
& ( model(X2,X0)
| ~ model(X2,X1) ) )
& model(sK59(X1),X1) )
| ~ status(X1,X0,eqv) )
& ( status(X1,X0,eqv)
| ( ( ~ model(sK60(X0,X1),X0)
| ~ model(sK60(X0,X1),X1) )
& ( model(sK60(X0,X1),X0)
| model(sK60(X0,X1),X1) ) )
| ! [X5] : ~ model(X5,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK59,sK60])],[f208,f210,f209]) ).
fof(f209,plain,
! [X1] :
( ? [X3] : model(X3,X1)
=> model(sK59(X1),X1) ),
introduced(choice_axiom,[]) ).
fof(f210,plain,
! [X0,X1] :
( ? [X4] :
( ( ~ model(X4,X0)
| ~ model(X4,X1) )
& ( model(X4,X0)
| model(X4,X1) ) )
=> ( ( ~ model(sK60(X0,X1),X0)
| ~ model(sK60(X0,X1),X1) )
& ( model(sK60(X0,X1),X0)
| model(sK60(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f208,plain,
! [X0,X1] :
( ( ( ! [X2] :
( ( model(X2,X1)
| ~ model(X2,X0) )
& ( model(X2,X0)
| ~ model(X2,X1) ) )
& ? [X3] : model(X3,X1) )
| ~ status(X1,X0,eqv) )
& ( status(X1,X0,eqv)
| ? [X4] :
( ( ~ model(X4,X0)
| ~ model(X4,X1) )
& ( model(X4,X0)
| model(X4,X1) ) )
| ! [X5] : ~ model(X5,X1) ) ),
inference(rectify,[],[f207]) ).
fof(f207,plain,
! [X0,X1] :
( ( ( ! [X3] :
( ( model(X3,X1)
| ~ model(X3,X0) )
& ( model(X3,X0)
| ~ model(X3,X1) ) )
& ? [X2] : model(X2,X1) )
| ~ status(X1,X0,eqv) )
& ( status(X1,X0,eqv)
| ? [X3] :
( ( ~ model(X3,X0)
| ~ model(X3,X1) )
& ( model(X3,X0)
| model(X3,X1) ) )
| ! [X2] : ~ model(X2,X1) ) ),
inference(flattening,[],[f206]) ).
fof(f206,plain,
! [X0,X1] :
( ( ( ! [X3] :
( ( model(X3,X1)
| ~ model(X3,X0) )
& ( model(X3,X0)
| ~ model(X3,X1) ) )
& ? [X2] : model(X2,X1) )
| ~ status(X1,X0,eqv) )
& ( status(X1,X0,eqv)
| ? [X3] :
( ( ~ model(X3,X0)
| ~ model(X3,X1) )
& ( model(X3,X0)
| model(X3,X1) ) )
| ! [X2] : ~ model(X2,X1) ) ),
inference(nnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
( ( ! [X3] :
( model(X3,X1)
<=> model(X3,X0) )
& ? [X2] : model(X2,X1) )
<=> status(X1,X0,eqv) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X1,X0] :
( ( ? [X2] : model(X2,X0)
& ! [X3] :
( model(X3,X1)
<=> model(X3,X0) ) )
<=> status(X0,X1,eqv) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',eqv) ).
fof(f368,plain,
status(sK28(thm,eqv),sK27(thm,eqv),eqv),
inference(resolution,[],[f248,f216]) ).
fof(f248,plain,
! [X0,X1] :
( isa(X1,X0)
| status(sK28(X0,X1),sK27(X0,X1),X1) ),
inference(cnf_transformation,[],[f130]) ).
fof(f422,plain,
model(sK47(sK28(thm,eqv),sK27(thm,eqv)),sK28(thm,eqv)),
inference(resolution,[],[f420,f284]) ).
fof(f284,plain,
! [X0,X1] :
( status(X0,X1,thm)
| model(sK47(X0,X1),X0) ),
inference(cnf_transformation,[],[f181]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS186+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % 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 00:37:30 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.51 % (16809)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)
% 0.21/0.51 % (16825)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.51 % (16811)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.51 % (16812)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.51 % (16830)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)
% 0.21/0.51 % (16817)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.51 % (16822)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)
% 0.21/0.51 % (16808)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.21/0.52 % (16810)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.52 % (16819)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.52 % (16816)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.52 % (16820)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.52 % (16833)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.53 % (16809)Refutation not found, incomplete strategy% (16809)------------------------------
% 0.21/0.53 % (16809)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (16809)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (16809)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.53
% 0.21/0.53 % (16809)Memory used [KB]: 5628
% 0.21/0.53 % (16809)Time elapsed: 0.115 s
% 0.21/0.53 % (16809)Instructions burned: 7 (million)
% 0.21/0.53 % (16809)------------------------------
% 0.21/0.53 % (16809)------------------------------
% 0.21/0.53 % (16834)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)
% 0.21/0.53 % (16837)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)
% 0.21/0.53 % (16814)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)
% 0.21/0.53 % (16835)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.21/0.53 % (16829)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.53 % (16813)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.21/0.53 % (16821)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.53 TRYING [1]
% 0.21/0.53 % (16832)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.53 % (16824)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.53 % (16823)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.21/0.54 % (16827)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.54 % (16830)First to succeed.
% 0.21/0.54 % (16830)Refutation found. Thanks to Tanya!
% 0.21/0.54 % SZS status Theorem for theBenchmark
% 0.21/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.54 % (16830)------------------------------
% 0.21/0.54 % (16830)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (16830)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (16830)Termination reason: Refutation
% 0.21/0.54
% 0.21/0.54 % (16830)Memory used [KB]: 1151
% 0.21/0.54 % (16830)Time elapsed: 0.091 s
% 0.21/0.54 % (16830)Instructions burned: 10 (million)
% 0.21/0.54 % (16830)------------------------------
% 0.21/0.54 % (16830)------------------------------
% 0.21/0.54 % (16806)Success in time 0.186 s
%------------------------------------------------------------------------------