TSTP Solution File: KRS190+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KRS190+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 : 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 17:31:03 EDT 2022
% Result : Theorem 0.14s 0.48s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 32 ( 9 unt; 0 def)
% Number of atoms : 95 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 99 ( 36 ~; 28 |; 20 &)
% ( 6 <=>; 9 =>; 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 : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 77 ( 65 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f329,plain,
$false,
inference(subsumption_resolution,[],[f328,f301]) ).
fof(f301,plain,
~ isa(tau,thm),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
~ isa(tau,thm),
inference(flattening,[],[f34]) ).
fof(f34,negated_conjecture,
~ isa(tau,thm),
inference(negated_conjecture,[],[f33]) ).
fof(f33,conjecture,
isa(tau,thm),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',isa_tau_thm) ).
fof(f328,plain,
isa(tau,thm),
inference(resolution,[],[f323,f237]) ).
fof(f237,plain,
! [X0,X1] :
( ~ status(sK15(X0,X1),sK16(X0,X1),X0)
| isa(X1,X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0,X1] :
( ( status(sK15(X0,X1),sK16(X0,X1),X1)
& ~ status(sK15(X0,X1),sK16(X0,X1),X0) )
| isa(X1,X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15,sK16])],[f114,f115]) ).
fof(f115,plain,
! [X0,X1] :
( ? [X2,X3] :
( status(X2,X3,X1)
& ~ status(X2,X3,X0) )
=> ( status(sK15(X0,X1),sK16(X0,X1),X1)
& ~ status(sK15(X0,X1),sK16(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f114,plain,
! [X0,X1] :
( ? [X2,X3] :
( status(X2,X3,X1)
& ~ status(X2,X3,X0) )
| isa(X1,X0) ),
inference(rectify,[],[f69]) ).
fof(f69,plain,
! [X1,X0] :
( ? [X2,X3] :
( status(X2,X3,X0)
& ~ status(X2,X3,X1) )
| isa(X0,X1) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,plain,
! [X1,X0] :
( ! [X2,X3] :
( status(X2,X3,X0)
=> status(X2,X3,X1) )
=> isa(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f42]) ).
fof(f42,plain,
! [X1,X0] :
( isa(X0,X1)
<=> ! [X2,X3] :
( status(X2,X3,X0)
=> status(X2,X3,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/sandbox2/benchmark/theBenchmark.p',isa) ).
fof(f323,plain,
! [X0] : status(X0,sK16(thm,tau),thm),
inference(resolution,[],[f321,f220]) ).
fof(f220,plain,
! [X0,X1] :
( ~ model(sK2(X0,X1),X1)
| status(X0,X1,thm) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0,X1] :
( ( status(X0,X1,thm)
| ( ~ model(sK2(X0,X1),X1)
& model(sK2(X0,X1),X0) ) )
& ( ! [X3] :
( model(X3,X1)
| ~ model(X3,X0) )
| ~ status(X0,X1,thm) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f82,f83]) ).
fof(f83,plain,
! [X0,X1] :
( ? [X2] :
( ~ model(X2,X1)
& model(X2,X0) )
=> ( ~ model(sK2(X0,X1),X1)
& model(sK2(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f82,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,[],[f81]) ).
fof(f81,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,[],[f65]) ).
fof(f65,plain,
! [X1,X0] :
( status(X1,X0,thm)
<=> ! [X2] :
( model(X2,X0)
| ~ model(X2,X1) ) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,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/sandbox2/benchmark/theBenchmark.p',thm) ).
fof(f321,plain,
! [X0] : model(X0,sK16(thm,tau)),
inference(resolution,[],[f320,f233]) ).
fof(f233,plain,
! [X2,X0,X1] :
( ~ status(X1,X0,tau)
| model(X2,X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0,X1] :
( ( ! [X2] :
( model(X2,X0)
& model(X2,X1) )
| ~ status(X1,X0,tau) )
& ( status(X1,X0,tau)
| ~ model(sK10(X0,X1),X0)
| ~ model(sK10(X0,X1),X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f106,f107]) ).
fof(f107,plain,
! [X0,X1] :
( ? [X3] :
( ~ model(X3,X0)
| ~ model(X3,X1) )
=> ( ~ model(sK10(X0,X1),X0)
| ~ model(sK10(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f106,plain,
! [X0,X1] :
( ( ! [X2] :
( model(X2,X0)
& model(X2,X1) )
| ~ status(X1,X0,tau) )
& ( status(X1,X0,tau)
| ? [X3] :
( ~ model(X3,X0)
| ~ model(X3,X1) ) ) ),
inference(rectify,[],[f105]) ).
fof(f105,plain,
! [X1,X0] :
( ( ! [X2] :
( model(X2,X1)
& model(X2,X0) )
| ~ status(X0,X1,tau) )
& ( status(X0,X1,tau)
| ? [X2] :
( ~ model(X2,X1)
| ~ model(X2,X0) ) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X1,X0] :
( ! [X2] :
( model(X2,X1)
& model(X2,X0) )
<=> status(X0,X1,tau) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tau) ).
fof(f320,plain,
status(sK15(thm,tau),sK16(thm,tau),tau),
inference(resolution,[],[f238,f301]) ).
fof(f238,plain,
! [X0,X1] :
( isa(X1,X0)
| status(sK15(X0,X1),sK16(X0,X1),X1) ),
inference(cnf_transformation,[],[f116]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : KRS190+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.00/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.09/0.30 % Computer : n022.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue Aug 30 00:36:41 EDT 2022
% 0.09/0.30 % CPUTime :
% 0.14/0.45 % (15536)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)
% 0.14/0.45 % (15535)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)
% 0.14/0.45 % (15528)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.14/0.45 % (15537)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)
% 0.14/0.45 % (15527)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)
% 0.14/0.46 % (15544)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.14/0.47 % (15529)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.47 % (15529)Instruction limit reached!
% 0.14/0.47 % (15529)------------------------------
% 0.14/0.47 % (15529)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.47 % (15529)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.47 % (15529)Termination reason: Unknown
% 0.14/0.47 % (15529)Termination phase: Preprocessing 3
% 0.14/0.47
% 0.14/0.47 % (15529)Memory used [KB]: 895
% 0.14/0.47 % (15529)Time elapsed: 0.004 s
% 0.14/0.47 % (15529)Instructions burned: 2 (million)
% 0.14/0.47 % (15529)------------------------------
% 0.14/0.47 % (15529)------------------------------
% 0.14/0.47 % (15528)Instruction limit reached!
% 0.14/0.47 % (15528)------------------------------
% 0.14/0.47 % (15528)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.47 % (15545)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.14/0.48 % (15544)First to succeed.
% 0.14/0.48 % (15528)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.48 % (15528)Termination reason: Unknown
% 0.14/0.48 % (15528)Termination phase: Saturation
% 0.14/0.48
% 0.14/0.48 % (15528)Memory used [KB]: 5628
% 0.14/0.48 % (15528)Time elapsed: 0.124 s
% 0.14/0.48 % (15528)Instructions burned: 8 (million)
% 0.14/0.48 % (15528)------------------------------
% 0.14/0.48 % (15528)------------------------------
% 0.14/0.48 TRYING [1]
% 0.14/0.48 % (15543)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)
% 0.14/0.48 % (15544)Refutation found. Thanks to Tanya!
% 0.14/0.48 % SZS status Theorem for theBenchmark
% 0.14/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.48 % (15544)------------------------------
% 0.14/0.48 % (15544)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.48 % (15544)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.48 % (15544)Termination reason: Refutation
% 0.14/0.48
% 0.14/0.48 % (15544)Memory used [KB]: 5628
% 0.14/0.48 % (15544)Time elapsed: 0.127 s
% 0.14/0.48 % (15544)Instructions burned: 6 (million)
% 0.14/0.48 % (15544)------------------------------
% 0.14/0.48 % (15544)------------------------------
% 0.14/0.48 % (15520)Success in time 0.179 s
%------------------------------------------------------------------------------