TSTP Solution File: KRS187+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KRS187+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 : n027.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 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 35 ( 9 unt; 0 def)
% Number of atoms : 104 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 106 ( 37 ~; 29 |; 23 &)
% ( 7 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 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 : 94 ( 75 !; 19 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f409,plain,
$false,
inference(subsumption_resolution,[],[f408,f280]) ).
fof(f280,plain,
~ isa(tac,thm),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
~ isa(tac,thm),
inference(flattening,[],[f34]) ).
fof(f34,negated_conjecture,
~ isa(tac,thm),
inference(negated_conjecture,[],[f33]) ).
fof(f33,conjecture,
isa(tac,thm),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',isa_tac_thm) ).
fof(f408,plain,
isa(tac,thm),
inference(resolution,[],[f406,f230]) ).
fof(f230,plain,
! [X0,X1] :
( ~ status(sK12(X0,X1),sK11(X0,X1),X0)
| isa(X1,X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0,X1] :
( ( status(sK12(X0,X1),sK11(X0,X1),X1)
& ~ status(sK12(X0,X1),sK11(X0,X1),X0) )
| isa(X1,X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12])],[f99,f100]) ).
fof(f100,plain,
! [X0,X1] :
( ? [X2,X3] :
( status(X3,X2,X1)
& ~ status(X3,X2,X0) )
=> ( status(sK12(X0,X1),sK11(X0,X1),X1)
& ~ status(sK12(X0,X1),sK11(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f99,plain,
! [X0,X1] :
( ? [X2,X3] :
( status(X3,X2,X1)
& ~ status(X3,X2,X0) )
| isa(X1,X0) ),
inference(rectify,[],[f71]) ).
fof(f71,plain,
! [X1,X0] :
( ? [X3,X2] :
( status(X2,X3,X0)
& ~ status(X2,X3,X1) )
| isa(X0,X1) ),
inference(ennf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0,X1] :
( ! [X3,X2] :
( status(X2,X3,X0)
=> status(X2,X3,X1) )
=> isa(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f44]) ).
fof(f44,plain,
! [X0,X1] :
( ! [X3,X2] :
( status(X2,X3,X0)
=> status(X2,X3,X1) )
<=> isa(X0,X1) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X6,X7] :
( ! [X0,X1] :
( status(X0,X1,X6)
=> status(X0,X1,X7) )
<=> isa(X6,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',isa) ).
fof(f406,plain,
! [X4] : status(X4,sK11(thm,tac),thm),
inference(resolution,[],[f400,f306]) ).
fof(f306,plain,
! [X0,X1] :
( ~ model(sK60(X0,X1),X1)
| status(X0,X1,thm) ),
inference(cnf_transformation,[],[f212]) ).
fof(f212,plain,
! [X0,X1] :
( ( ! [X2] :
( model(X2,X1)
| ~ model(X2,X0) )
| ~ status(X0,X1,thm) )
& ( status(X0,X1,thm)
| ( ~ model(sK60(X0,X1),X1)
& model(sK60(X0,X1),X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK60])],[f210,f211]) ).
fof(f211,plain,
! [X0,X1] :
( ? [X3] :
( ~ model(X3,X1)
& model(X3,X0) )
=> ( ~ model(sK60(X0,X1),X1)
& model(sK60(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f210,plain,
! [X0,X1] :
( ( ! [X2] :
( model(X2,X1)
| ~ model(X2,X0) )
| ~ status(X0,X1,thm) )
& ( status(X0,X1,thm)
| ? [X3] :
( ~ model(X3,X1)
& model(X3,X0) ) ) ),
inference(rectify,[],[f209]) ).
fof(f209,plain,
! [X1,X0] :
( ( ! [X2] :
( model(X2,X0)
| ~ model(X2,X1) )
| ~ status(X1,X0,thm) )
& ( status(X1,X0,thm)
| ? [X2] :
( ~ model(X2,X0)
& model(X2,X1) ) ) ),
inference(nnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X1,X0] :
( ! [X2] :
( model(X2,X0)
| ~ model(X2,X1) )
<=> status(X1,X0,thm) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,plain,
! [X1,X0] :
( status(X1,X0,thm)
<=> ! [X2] :
( model(X2,X1)
=> model(X2,X0) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1,X0] :
( status(X0,X1,thm)
<=> ! [X2] :
( model(X2,X0)
=> model(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm) ).
fof(f400,plain,
! [X0] : model(X0,sK11(thm,tac)),
inference(resolution,[],[f398,f292]) ).
fof(f292,plain,
! [X2,X0,X1] :
( ~ status(X0,X1,tac)
| model(X2,X1) ),
inference(cnf_transformation,[],[f191]) ).
fof(f191,plain,
! [X0,X1] :
( ( ( ! [X2] : model(X2,X1)
& model(sK48(X0),X0) )
| ~ status(X0,X1,tac) )
& ( status(X0,X1,tac)
| ~ model(sK49(X1),X1)
| ! [X5] : ~ model(X5,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK48,sK49])],[f188,f190,f189]) ).
fof(f189,plain,
! [X0] :
( ? [X3] : model(X3,X0)
=> model(sK48(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f190,plain,
! [X1] :
( ? [X4] : ~ model(X4,X1)
=> ~ model(sK49(X1),X1) ),
introduced(choice_axiom,[]) ).
fof(f188,plain,
! [X0,X1] :
( ( ( ! [X2] : model(X2,X1)
& ? [X3] : model(X3,X0) )
| ~ status(X0,X1,tac) )
& ( status(X0,X1,tac)
| ? [X4] : ~ model(X4,X1)
| ! [X5] : ~ model(X5,X0) ) ),
inference(rectify,[],[f187]) ).
fof(f187,plain,
! [X1,X0] :
( ( ( ! [X2] : model(X2,X0)
& ? [X3] : model(X3,X1) )
| ~ status(X1,X0,tac) )
& ( status(X1,X0,tac)
| ? [X2] : ~ model(X2,X0)
| ! [X3] : ~ model(X3,X1) ) ),
inference(flattening,[],[f186]) ).
fof(f186,plain,
! [X1,X0] :
( ( ( ! [X2] : model(X2,X0)
& ? [X3] : model(X3,X1) )
| ~ status(X1,X0,tac) )
& ( status(X1,X0,tac)
| ? [X2] : ~ model(X2,X0)
| ! [X3] : ~ model(X3,X1) ) ),
inference(nnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X1,X0] :
( ( ! [X2] : model(X2,X0)
& ? [X3] : model(X3,X1) )
<=> status(X1,X0,tac) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X1,X0] :
( status(X0,X1,tac)
<=> ( ! [X3] : model(X3,X1)
& ? [X2] : model(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tac) ).
fof(f398,plain,
status(sK12(thm,tac),sK11(thm,tac),tac),
inference(resolution,[],[f231,f280]) ).
fof(f231,plain,
! [X0,X1] :
( isa(X1,X0)
| status(sK12(X0,X1),sK11(X0,X1),X1) ),
inference(cnf_transformation,[],[f101]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : KRS187+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n027.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 00:50:30 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.50 % (28512)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)
% 0.20/0.50 % (28522)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.50 % (28520)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)
% 0.20/0.51 % (28508)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)
% 0.20/0.51 % (28514)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)
% 0.20/0.52 TRYING [1]
% 0.20/0.52 % (28526)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.52 % (28517)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.52 % (28529)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.52 % (28537)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.52 % (28521)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.52 % (28529)First to succeed.
% 0.20/0.52 % (28527)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.52 % (28519)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53 % (28529)Refutation found. Thanks to Tanya!
% 0.20/0.53 % SZS status Theorem for theBenchmark
% 0.20/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53 % (28529)------------------------------
% 0.20/0.53 % (28529)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (28529)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (28529)Termination reason: Refutation
% 0.20/0.53
% 0.20/0.53 % (28529)Memory used [KB]: 5628
% 0.20/0.53 % (28529)Time elapsed: 0.114 s
% 0.20/0.53 % (28529)Instructions burned: 8 (million)
% 0.20/0.53 % (28529)------------------------------
% 0.20/0.53 % (28529)------------------------------
% 0.20/0.53 % (28503)Success in time 0.172 s
%------------------------------------------------------------------------------