TSTP Solution File: KRS216+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KRS216+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 : n021.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 17:31:07 EDT 2022
% Result : Theorem 0.20s 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of formulae : 48 ( 16 unt; 0 def)
% Number of atoms : 125 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 131 ( 54 ~; 40 |; 21 &)
% ( 8 <=>; 8 =>; 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 : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 115 ( 92 !; 23 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f430,plain,
$false,
inference(subsumption_resolution,[],[f429,f292]) ).
fof(f292,plain,
! [X1] : ~ model(X1,sK48),
inference(cnf_transformation,[],[f193]) ).
fof(f193,plain,
! [X1] : ~ model(X1,sK48),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK48])],[f44,f192]) ).
fof(f192,plain,
( ? [X0] :
! [X1] : ~ model(X1,X0)
=> ! [X1] : ~ model(X1,sK48) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
? [X0] :
! [X1] : ~ model(X1,X0),
inference(rectify,[],[f29]) ).
fof(f29,axiom,
? [X9] :
! [X8] : ~ model(X8,X9),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',contradiction) ).
fof(f429,plain,
! [X0] : model(X0,sK48),
inference(subsumption_resolution,[],[f428,f220]) ).
fof(f220,plain,
! [X1] : model(X1,sK5),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X1] : model(X1,sK5),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f45,f89]) ).
fof(f89,plain,
( ? [X0] :
! [X1] : model(X1,X0)
=> ! [X1] : model(X1,sK5) ),
introduced(choice_axiom,[]) ).
fof(f45,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(f428,plain,
! [X0] :
( ~ model(X0,sK5)
| model(X0,sK48) ),
inference(resolution,[],[f423,f244]) ).
fof(f244,plain,
! [X2,X0,X1] :
( ~ status(X0,X1,thm)
| model(X2,X1)
| ~ model(X2,X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ model(X2,X0)
| model(X2,X1) )
| ~ status(X0,X1,thm) )
& ( status(X0,X1,thm)
| ( model(sK20(X0,X1),X0)
& ~ model(sK20(X0,X1),X1) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20])],[f126,f127]) ).
fof(f127,plain,
! [X0,X1] :
( ? [X3] :
( model(X3,X0)
& ~ model(X3,X1) )
=> ( model(sK20(X0,X1),X0)
& ~ model(sK20(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f126,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ model(X2,X0)
| model(X2,X1) )
| ~ status(X0,X1,thm) )
& ( status(X0,X1,thm)
| ? [X3] :
( model(X3,X0)
& ~ model(X3,X1) ) ) ),
inference(rectify,[],[f125]) ).
fof(f125,plain,
! [X1,X0] :
( ( ! [X2] :
( ~ model(X2,X1)
| model(X2,X0) )
| ~ status(X1,X0,thm) )
& ( status(X1,X0,thm)
| ? [X2] :
( model(X2,X1)
& ~ model(X2,X0) ) ) ),
inference(nnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X1,X0] :
( ! [X2] :
( ~ model(X2,X1)
| model(X2,X0) )
<=> status(X1,X0,thm) ),
inference(ennf_transformation,[],[f56]) ).
fof(f56,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/sandbox/benchmark/theBenchmark.p',thm) ).
fof(f423,plain,
status(sK5,sK48,thm),
inference(resolution,[],[f409,f319]) ).
fof(f319,plain,
! [X0,X1] :
( ~ status(X0,X1,uns)
| status(X0,X1,thm) ),
inference(resolution,[],[f260,f259]) ).
fof(f259,plain,
~ nota(uns,thm),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
~ nota(uns,thm),
inference(flattening,[],[f34]) ).
fof(f34,negated_conjecture,
~ nota(uns,thm),
inference(negated_conjecture,[],[f33]) ).
fof(f33,conjecture,
nota(uns,thm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nota_uns_thm) ).
fof(f260,plain,
! [X2,X3,X0,X1] :
( nota(X0,X1)
| status(X2,X3,X1)
| ~ status(X2,X3,X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f148,plain,
! [X0,X1] :
( ! [X2,X3] :
( ~ status(X2,X3,X0)
| status(X2,X3,X1) )
| nota(X0,X1) ),
inference(rectify,[],[f67]) ).
fof(f67,plain,
! [X1,X0] :
( ! [X2,X3] :
( ~ status(X2,X3,X1)
| status(X2,X3,X0) )
| nota(X1,X0) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,plain,
! [X1,X0] :
( ? [X3,X2] :
( ~ status(X2,X3,X0)
& status(X2,X3,X1) )
=> nota(X1,X0) ),
inference(unused_predicate_definition_removal,[],[f52]) ).
fof(f52,plain,
! [X1,X0] :
( nota(X1,X0)
<=> ? [X3,X2] :
( ~ status(X2,X3,X0)
& status(X2,X3,X1) ) ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X7,X6] :
( nota(X6,X7)
<=> ? [X0,X1] :
( status(X0,X1,X6)
& ~ status(X0,X1,X7) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nota) ).
fof(f409,plain,
status(sK5,sK48,uns),
inference(resolution,[],[f399,f292]) ).
fof(f399,plain,
! [X5] :
( model(sK13(X5),X5)
| status(sK5,X5,uns) ),
inference(resolution,[],[f385,f220]) ).
fof(f385,plain,
! [X8,X7] :
( ~ model(sK12(X8),X8)
| status(X8,X7,uns)
| model(sK13(X7),X7) ),
inference(resolution,[],[f287,f231]) ).
fof(f231,plain,
! [X0,X1] :
( ~ model(sK13(X0),not(X0))
| ~ model(sK12(X1),X1)
| status(X1,X0,uns) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0,X1] :
( ( status(X1,X0,uns)
| ~ model(sK12(X1),X1)
| ~ model(sK13(X0),not(X0)) )
& ( ( ! [X4] : model(X4,X1)
& ! [X5] : model(X5,not(X0)) )
| ~ status(X1,X0,uns) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13])],[f106,f108,f107]) ).
fof(f107,plain,
! [X1] :
( ? [X2] : ~ model(X2,X1)
=> ~ model(sK12(X1),X1) ),
introduced(choice_axiom,[]) ).
fof(f108,plain,
! [X0] :
( ? [X3] : ~ model(X3,not(X0))
=> ~ model(sK13(X0),not(X0)) ),
introduced(choice_axiom,[]) ).
fof(f106,plain,
! [X0,X1] :
( ( status(X1,X0,uns)
| ? [X2] : ~ model(X2,X1)
| ? [X3] : ~ model(X3,not(X0)) )
& ( ( ! [X4] : model(X4,X1)
& ! [X5] : model(X5,not(X0)) )
| ~ status(X1,X0,uns) ) ),
inference(rectify,[],[f105]) ).
fof(f105,plain,
! [X1,X0] :
( ( status(X0,X1,uns)
| ? [X2] : ~ model(X2,X0)
| ? [X3] : ~ model(X3,not(X1)) )
& ( ( ! [X2] : model(X2,X0)
& ! [X3] : model(X3,not(X1)) )
| ~ status(X0,X1,uns) ) ),
inference(flattening,[],[f104]) ).
fof(f104,plain,
! [X1,X0] :
( ( status(X0,X1,uns)
| ? [X2] : ~ model(X2,X0)
| ? [X3] : ~ model(X3,not(X1)) )
& ( ( ! [X2] : model(X2,X0)
& ! [X3] : model(X3,not(X1)) )
| ~ status(X0,X1,uns) ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X1,X0] :
( status(X0,X1,uns)
<=> ( ! [X2] : model(X2,X0)
& ! [X3] : model(X3,not(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',uns) ).
fof(f287,plain,
! [X0,X1] :
( model(X0,not(X1))
| model(X0,X1) ),
inference(cnf_transformation,[],[f185]) ).
fof(f185,plain,
! [X0,X1] :
( ( ~ model(X0,not(X1))
| ~ model(X0,X1) )
& ( model(X0,X1)
| model(X0,not(X1)) ) ),
inference(nnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1] :
( ~ model(X0,not(X1))
<=> model(X0,X1) ),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X8,X9] :
( model(X8,X9)
<=> ~ model(X8,not(X9)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KRS216+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 00:33:10 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.50 % (8628)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)
% 0.20/0.50 % (8636)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.51 % (8636)Instruction limit reached!
% 0.20/0.51 % (8636)------------------------------
% 0.20/0.51 % (8636)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (8636)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (8636)Termination reason: Unknown
% 0.20/0.51 % (8636)Termination phase: Preprocessing 3
% 0.20/0.51
% 0.20/0.51 % (8636)Memory used [KB]: 895
% 0.20/0.51 % (8636)Time elapsed: 0.002 s
% 0.20/0.51 % (8636)Instructions burned: 2 (million)
% 0.20/0.51 % (8636)------------------------------
% 0.20/0.51 % (8636)------------------------------
% 0.20/0.51 % (8627)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 % (8637)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)
% 0.20/0.52 % (8646)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.52 % (8641)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.52 % (8651)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)
% 0.20/0.52 % (8632)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 % (8628)Refutation not found, incomplete strategy% (8628)------------------------------
% 0.20/0.52 % (8628)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (8628)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (8628)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52
% 0.20/0.52 % (8628)Memory used [KB]: 5628
% 0.20/0.52 % (8628)Time elapsed: 0.113 s
% 0.20/0.52 % (8628)Instructions burned: 8 (million)
% 0.20/0.52 % (8628)------------------------------
% 0.20/0.52 % (8628)------------------------------
% 0.20/0.52 % (8629)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)
% 0.20/0.52 % (8631)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (8638)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 TRYING [1]
% 0.20/0.53 TRYING [2]
% 0.20/0.53 % (8651)First to succeed.
% 0.20/0.53 % (8645)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.53 % (8643)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)
% 0.20/0.53 % (8649)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.53 % (8640)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.54 % (8653)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.54 % (8630)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)
% 0.20/0.54 % (8633)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)
% 0.20/0.54 % (8647)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)
% 0.20/0.54 % (8651)Refutation found. Thanks to Tanya!
% 0.20/0.54 % SZS status Theorem for theBenchmark
% 0.20/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54 % (8651)------------------------------
% 0.20/0.54 % (8651)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (8651)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (8651)Termination reason: Refutation
% 0.20/0.54
% 0.20/0.54 % (8651)Memory used [KB]: 5628
% 0.20/0.54 % (8651)Time elapsed: 0.138 s
% 0.20/0.54 % (8651)Instructions burned: 9 (million)
% 0.20/0.54 % (8651)------------------------------
% 0.20/0.54 % (8651)------------------------------
% 0.20/0.54 % (8624)Success in time 0.184 s
%------------------------------------------------------------------------------