TSTP Solution File: KRS262+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KRS262+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 : n018.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 17:31:13 EDT 2022
% Result : Theorem 0.21s 0.55s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 34 ( 12 unt; 0 def)
% Number of atoms : 94 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 99 ( 39 ~; 32 |; 18 &)
% ( 5 <=>; 5 =>; 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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 77 ( 62 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f429,plain,
$false,
inference(subsumption_resolution,[],[f425,f263]) ).
fof(f263,plain,
~ mighta(tau,thm),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
~ mighta(tau,thm),
inference(flattening,[],[f34]) ).
fof(f34,negated_conjecture,
~ mighta(tau,thm),
inference(negated_conjecture,[],[f33]) ).
fof(f33,conjecture,
mighta(tau,thm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mighta_tau_thm) ).
fof(f425,plain,
mighta(tau,thm),
inference(resolution,[],[f419,f335]) ).
fof(f335,plain,
! [X1] : status(X1,sK2,thm),
inference(resolution,[],[f276,f211]) ).
fof(f211,plain,
! [X1] : model(X1,sK2),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X1] : model(X1,sK2),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f44,f75]) ).
fof(f75,plain,
( ? [X0] :
! [X1] : model(X1,X0)
=> ! [X1] : model(X1,sK2) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
? [X0] :
! [X1] : model(X1,X0),
inference(rectify,[],[f27]) ).
fof(f27,axiom,
? [X9] :
! [X8] : model(X8,X9),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tautology) ).
fof(f276,plain,
! [X0,X1] :
( ~ model(sK41(X0,X1),X1)
| status(X0,X1,thm) ),
inference(cnf_transformation,[],[f175]) ).
fof(f175,plain,
! [X0,X1] :
( ( status(X0,X1,thm)
| ( ~ model(sK41(X0,X1),X1)
& model(sK41(X0,X1),X0) ) )
& ( ! [X3] :
( model(X3,X1)
| ~ model(X3,X0) )
| ~ status(X0,X1,thm) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK41])],[f173,f174]) ).
fof(f174,plain,
! [X0,X1] :
( ? [X2] :
( ~ model(X2,X1)
& model(X2,X0) )
=> ( ~ model(sK41(X0,X1),X1)
& model(sK41(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f173,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,[],[f172]) ).
fof(f172,plain,
! [X0,X1] :
( ( status(X0,X1,thm)
| ? [X2] :
( ~ model(X2,X1)
& model(X2,X0) ) )
& ( ! [X2] :
( model(X2,X1)
| ~ model(X2,X0) )
| ~ status(X0,X1,thm) ) ),
inference(nnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0,X1] :
( status(X0,X1,thm)
<=> ! [X2] :
( model(X2,X1)
| ~ model(X2,X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X1,X0] :
( status(X0,X1,thm)
<=> ! [X2] :
( model(X2,X0)
=> model(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm) ).
fof(f419,plain,
! [X2] :
( ~ status(sK2,sK2,X2)
| mighta(tau,X2) ),
inference(resolution,[],[f412,f280]) ).
fof(f280,plain,
! [X2,X3,X0,X1] :
( ~ status(X2,X3,X0)
| ~ status(X2,X3,X1)
| mighta(X0,X1) ),
inference(cnf_transformation,[],[f180]) ).
fof(f180,plain,
! [X0,X1] :
( mighta(X0,X1)
| ! [X2,X3] :
( ~ status(X2,X3,X0)
| ~ status(X2,X3,X1) ) ),
inference(rectify,[],[f58]) ).
fof(f58,plain,
! [X0,X1] :
( mighta(X0,X1)
| ! [X3,X2] :
( ~ status(X3,X2,X0)
| ~ status(X3,X2,X1) ) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1] :
( ? [X3,X2] :
( status(X3,X2,X1)
& status(X3,X2,X0) )
=> mighta(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f37]) ).
fof(f37,plain,
! [X0,X1] :
( mighta(X0,X1)
<=> ? [X3,X2] :
( status(X3,X2,X1)
& status(X3,X2,X0) ) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X6,X7] :
( mighta(X6,X7)
<=> ? [X1,X0] :
( status(X0,X1,X6)
& status(X0,X1,X7) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mighta) ).
fof(f412,plain,
status(sK2,sK2,tau),
inference(resolution,[],[f390,f211]) ).
fof(f390,plain,
! [X0] :
( ~ model(sK11(X0,sK2),X0)
| status(X0,sK2,tau) ),
inference(resolution,[],[f222,f211]) ).
fof(f222,plain,
! [X0,X1] :
( ~ model(sK11(X0,X1),X1)
| ~ model(sK11(X0,X1),X0)
| status(X0,X1,tau) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0,X1] :
( ( status(X0,X1,tau)
| ~ model(sK11(X0,X1),X0)
| ~ model(sK11(X0,X1),X1) )
& ( ! [X3] :
( model(X3,X0)
& model(X3,X1) )
| ~ status(X0,X1,tau) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f91,f92]) ).
fof(f92,plain,
! [X0,X1] :
( ? [X2] :
( ~ model(X2,X0)
| ~ model(X2,X1) )
=> ( ~ model(sK11(X0,X1),X0)
| ~ model(sK11(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f91,plain,
! [X0,X1] :
( ( status(X0,X1,tau)
| ? [X2] :
( ~ model(X2,X0)
| ~ model(X2,X1) ) )
& ( ! [X3] :
( model(X3,X0)
& model(X3,X1) )
| ~ status(X0,X1,tau) ) ),
inference(rectify,[],[f90]) ).
fof(f90,plain,
! [X0,X1] :
( ( status(X0,X1,tau)
| ? [X2] :
( ~ model(X2,X0)
| ~ model(X2,X1) ) )
& ( ! [X2] :
( model(X2,X0)
& model(X2,X1) )
| ~ status(X0,X1,tau) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1] :
( status(X0,X1,tau)
<=> ! [X2] :
( model(X2,X0)
& model(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tau) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : KRS262+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.07/0.14 % 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 : n018.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 00:44:54 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.51 % (19842)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 % (19845)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 % (19844)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 % (19858)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 % (19840)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.53 % (19862)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.53 % (19838)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 % (19836)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)
% 0.21/0.53 % (19855)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)
% 0.21/0.53 % (19849)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)
% 0.21/0.54 % (19847)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)
% 0.21/0.54 % (19837)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.54 % (19833)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)
% 0.21/0.54 % (19834)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)
% 0.21/0.54 % (19835)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)
% 0.21/0.54 % (19841)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.54 % (19843)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.54 % (19837)First to succeed.
% 0.21/0.54 % (19841)Instruction limit reached!
% 0.21/0.54 % (19841)------------------------------
% 0.21/0.54 % (19841)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (19841)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (19841)Termination reason: Unknown
% 0.21/0.54 % (19841)Termination phase: Preprocessing 3
% 0.21/0.54
% 0.21/0.54 % (19841)Memory used [KB]: 1023
% 0.21/0.54 % (19841)Time elapsed: 0.003 s
% 0.21/0.54 % (19841)Instructions burned: 3 (million)
% 0.21/0.54 % (19841)------------------------------
% 0.21/0.54 % (19841)------------------------------
% 0.21/0.55 % (19863)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)
% 0.21/0.55 % (19854)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.55 % (19840)Instruction limit reached!
% 0.21/0.55 % (19840)------------------------------
% 0.21/0.55 % (19840)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (19840)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (19840)Termination reason: Unknown
% 0.21/0.55 % (19840)Termination phase: Saturation
% 0.21/0.55
% 0.21/0.55 % (19840)Memory used [KB]: 5628
% 0.21/0.55 % (19840)Time elapsed: 0.137 s
% 0.21/0.55 % (19840)Instructions burned: 7 (million)
% 0.21/0.55 % (19840)------------------------------
% 0.21/0.55 % (19840)------------------------------
% 0.21/0.55 % (19862)Also succeeded, but the first one will report.
% 0.21/0.55 % (19846)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.55 % (19837)Refutation found. Thanks to Tanya!
% 0.21/0.55 % SZS status Theorem for theBenchmark
% 0.21/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.55 % (19837)------------------------------
% 0.21/0.55 % (19837)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (19837)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (19837)Termination reason: Refutation
% 0.21/0.55
% 0.21/0.55 % (19837)Memory used [KB]: 5628
% 0.21/0.55 % (19837)Time elapsed: 0.130 s
% 0.21/0.55 % (19837)Instructions burned: 7 (million)
% 0.21/0.55 % (19837)------------------------------
% 0.21/0.55 % (19837)------------------------------
% 0.21/0.55 % (19832)Success in time 0.186 s
%------------------------------------------------------------------------------