TSTP Solution File: KRS267+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KRS267+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 : n013.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 17:31:14 EDT 2022
% Result : Theorem 0.19s 0.55s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of formulae : 43 ( 14 unt; 0 def)
% Number of atoms : 116 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 123 ( 50 ~; 37 |; 22 &)
% ( 7 <=>; 7 =>; 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; 4 con; 0-2 aty)
% Number of variables : 111 ( 86 !; 25 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f392,plain,
$false,
inference(subsumption_resolution,[],[f390,f290]) ).
fof(f290,plain,
! [X1] : ~ model(X1,sK47),
inference(cnf_transformation,[],[f191]) ).
fof(f191,plain,
! [X1] : ~ model(X1,sK47),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK47])],[f37,f190]) ).
fof(f190,plain,
( ? [X0] :
! [X1] : ~ model(X1,X0)
=> ! [X1] : ~ model(X1,sK47) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
? [X0] :
! [X1] : ~ model(X1,X0),
inference(rectify,[],[f29]) ).
fof(f29,axiom,
? [X9] :
! [X8] : ~ model(X8,X9),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',contradiction) ).
fof(f390,plain,
model(sK6(sK47),sK47),
inference(resolution,[],[f380,f290]) ).
fof(f380,plain,
! [X0] :
( model(sK6(X0),X0)
| model(sK11(X0,sK25),X0) ),
inference(resolution,[],[f378,f261]) ).
fof(f261,plain,
! [X1] : model(X1,sK25),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
! [X1] : model(X1,sK25),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25])],[f44,f141]) ).
fof(f141,plain,
( ? [X0] :
! [X1] : model(X1,X0)
=> ! [X1] : model(X1,sK25) ),
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/sandbox2/benchmark/theBenchmark.p',tautology) ).
fof(f378,plain,
! [X0,X1] :
( ~ model(sK5(X1),X1)
| model(sK6(X0),X0)
| model(sK11(X0,X1),X0) ),
inference(resolution,[],[f375,f239]) ).
fof(f239,plain,
! [X0,X1] :
( status(X0,X1,thm)
| model(sK11(X0,X1),X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0,X1] :
( ( status(X0,X1,thm)
| ( model(sK11(X0,X1),X0)
& ~ model(sK11(X0,X1),X1) ) )
& ( ! [X3] :
( ~ model(X3,X0)
| model(X3,X1) )
| ~ status(X0,X1,thm) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f106,f107]) ).
fof(f107,plain,
! [X0,X1] :
( ? [X2] :
( model(X2,X0)
& ~ model(X2,X1) )
=> ( model(sK11(X0,X1),X0)
& ~ model(sK11(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f106,plain,
! [X0,X1] :
( ( status(X0,X1,thm)
| ? [X2] :
( model(X2,X0)
& ~ model(X2,X1) ) )
& ( ! [X3] :
( ~ model(X3,X0)
| model(X3,X1) )
| ~ status(X0,X1,thm) ) ),
inference(rectify,[],[f105]) ).
fof(f105,plain,
! [X0,X1] :
( ( status(X0,X1,thm)
| ? [X2] :
( model(X2,X0)
& ~ model(X2,X1) ) )
& ( ! [X2] :
( ~ model(X2,X0)
| model(X2,X1) )
| ~ status(X0,X1,thm) ) ),
inference(nnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0,X1] :
( status(X0,X1,thm)
<=> ! [X2] :
( ~ model(X2,X0)
| model(X2,X1) ) ),
inference(ennf_transformation,[],[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(f375,plain,
! [X0,X1] :
( ~ status(X1,X0,thm)
| model(sK6(X1),X1)
| ~ model(sK5(X0),X0) ),
inference(resolution,[],[f224,f359]) ).
fof(f359,plain,
! [X0,X1] :
( ~ status(X0,X1,tca)
| ~ status(X0,X1,thm) ),
inference(resolution,[],[f243,f236]) ).
fof(f236,plain,
~ mighta(tca,thm),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
~ mighta(tca,thm),
inference(flattening,[],[f34]) ).
fof(f34,negated_conjecture,
~ mighta(tca,thm),
inference(negated_conjecture,[],[f33]) ).
fof(f33,conjecture,
mighta(tca,thm),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mighta_tca_thm) ).
fof(f243,plain,
! [X2,X3,X0,X1] :
( mighta(X1,X0)
| ~ status(X2,X3,X1)
| ~ status(X2,X3,X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0,X1] :
( ! [X2,X3] :
( ~ status(X2,X3,X1)
| ~ status(X2,X3,X0) )
| mighta(X1,X0) ),
inference(rectify,[],[f64]) ).
fof(f64,plain,
! [X1,X0] :
( ! [X3,X2] :
( ~ status(X3,X2,X0)
| ~ status(X3,X2,X1) )
| mighta(X0,X1) ),
inference(ennf_transformation,[],[f60]) ).
fof(f60,plain,
! [X1,X0] :
( ? [X3,X2] :
( status(X3,X2,X1)
& status(X3,X2,X0) )
=> mighta(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f52]) ).
fof(f52,plain,
! [X1,X0] :
( 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/sandbox2/benchmark/theBenchmark.p',mighta) ).
fof(f224,plain,
! [X0,X1] :
( status(X0,X1,tca)
| ~ model(sK5(X1),X1)
| model(sK6(X0),X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0,X1] :
( ( ( ! [X2] : model(X2,X1)
& ! [X3] : ~ model(X3,X0) )
| ~ status(X0,X1,tca) )
& ( status(X0,X1,tca)
| ~ model(sK5(X1),X1)
| model(sK6(X0),X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f90,f92,f91]) ).
fof(f91,plain,
! [X1] :
( ? [X4] : ~ model(X4,X1)
=> ~ model(sK5(X1),X1) ),
introduced(choice_axiom,[]) ).
fof(f92,plain,
! [X0] :
( ? [X5] : model(X5,X0)
=> model(sK6(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f90,plain,
! [X0,X1] :
( ( ( ! [X2] : model(X2,X1)
& ! [X3] : ~ model(X3,X0) )
| ~ status(X0,X1,tca) )
& ( status(X0,X1,tca)
| ? [X4] : ~ model(X4,X1)
| ? [X5] : model(X5,X0) ) ),
inference(rectify,[],[f89]) ).
fof(f89,plain,
! [X0,X1] :
( ( ( ! [X2] : model(X2,X1)
& ! [X3] : ~ model(X3,X0) )
| ~ status(X0,X1,tca) )
& ( status(X0,X1,tca)
| ? [X2] : ~ model(X2,X1)
| ? [X3] : model(X3,X0) ) ),
inference(flattening,[],[f88]) ).
fof(f88,plain,
! [X0,X1] :
( ( ( ! [X2] : model(X2,X1)
& ! [X3] : ~ model(X3,X0) )
| ~ status(X0,X1,tca) )
& ( status(X0,X1,tca)
| ? [X2] : ~ model(X2,X1)
| ? [X3] : model(X3,X0) ) ),
inference(nnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0,X1] :
( ( ! [X2] : model(X2,X1)
& ! [X3] : ~ model(X3,X0) )
<=> status(X0,X1,tca) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1] :
( ( ~ ? [X3] : model(X3,X0)
& ! [X2] : model(X2,X1) )
<=> status(X0,X1,tca) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X0,X1] :
( ( ! [X3] : model(X3,X1)
& ~ ? [X2] : model(X2,X0) )
<=> status(X0,X1,tca) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tca) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS267+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
% 0.13/0.34 % Computer : n013.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 00:37:17 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.51 % (16642)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.51 % (16640)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)
% 0.19/0.51 % (16634)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)
% 0.19/0.52 % (16637)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)
% 0.19/0.52 % (16642)Instruction limit reached!
% 0.19/0.52 % (16642)------------------------------
% 0.19/0.52 % (16642)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (16642)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (16642)Termination reason: Unknown
% 0.19/0.52 % (16642)Termination phase: Preprocessing 3
% 0.19/0.52
% 0.19/0.52 % (16642)Memory used [KB]: 895
% 0.19/0.52 % (16642)Time elapsed: 0.004 s
% 0.19/0.52 % (16642)Instructions burned: 2 (million)
% 0.19/0.52 % (16642)------------------------------
% 0.19/0.52 % (16642)------------------------------
% 0.19/0.52 % (16651)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.53 % (16636)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)
% 0.19/0.53 % (16658)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)
% 0.19/0.53 % (16657)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)
% 0.19/0.53 % (16662)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)
% 0.19/0.53 % (16638)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 TRYING [1]
% 0.19/0.53 TRYING [1]
% 0.19/0.53 % (16653)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)
% 0.19/0.53 % (16635)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)
% 0.19/0.53 % (16639)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)
% 0.19/0.53 TRYING [2]
% 0.19/0.53 TRYING [2]
% 0.19/0.53 % (16645)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)
% 0.19/0.53 % (16657)First to succeed.
% 0.19/0.53 % (16649)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)
% 0.19/0.54 % (16654)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)
% 0.19/0.54 TRYING [3]
% 0.19/0.54 % (16643)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)
% 0.19/0.54 TRYING [3]
% 0.19/0.54 % (16655)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.54 % (16652)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54 % (16648)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)
% 0.19/0.54 % (16650)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)
% 0.19/0.54 % (16646)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.54 % (16641)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.55 % (16647)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.55 % (16663)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.55 % (16644)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.55 % (16641)Instruction limit reached!
% 0.19/0.55 % (16641)------------------------------
% 0.19/0.55 % (16641)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (16641)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (16641)Termination reason: Unknown
% 0.19/0.55 % (16641)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (16641)Memory used [KB]: 5628
% 0.19/0.55 % (16641)Time elapsed: 0.110 s
% 0.19/0.55 % (16641)Instructions burned: 7 (million)
% 0.19/0.55 % (16641)------------------------------
% 0.19/0.55 % (16641)------------------------------
% 0.19/0.55 % (16664)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)
% 0.19/0.55 TRYING [1]
% 0.19/0.55 % (16657)Refutation found. Thanks to Tanya!
% 0.19/0.55 % SZS status Theorem for theBenchmark
% 0.19/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.55 % (16657)------------------------------
% 0.19/0.55 % (16657)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (16657)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (16657)Termination reason: Refutation
% 0.19/0.55
% 0.19/0.55 % (16657)Memory used [KB]: 1151
% 0.19/0.55 % (16657)Time elapsed: 0.124 s
% 0.19/0.55 % (16657)Instructions burned: 9 (million)
% 0.19/0.55 % (16657)------------------------------
% 0.19/0.55 % (16657)------------------------------
% 0.19/0.55 % (16631)Success in time 0.2 s
%------------------------------------------------------------------------------