TSTP Solution File: KRS263+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KRS263+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 : n024.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 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 15
% Syntax : Number of formulae : 52 ( 14 unt; 0 def)
% Number of atoms : 174 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 201 ( 79 ~; 46 |; 57 &)
% ( 6 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 156 ( 97 !; 59 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f494,plain,
$false,
inference(resolution,[],[f469,f302]) ).
fof(f302,plain,
~ model(sK20,sK17),
inference(resolution,[],[f238,f236]) ).
fof(f236,plain,
~ model(sK20,sK18),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
( ! [X2] :
( ~ model(X2,sK17)
| model(X2,sK18) )
& model(sK19,sK17)
& ~ model(sK20,sK18)
& ~ model(sK21,sK17)
& model(sK21,sK18) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17,sK18,sK19,sK20,sK21])],[f113,f117,f116,f115,f114]) ).
fof(f114,plain,
( ? [X0,X1] :
( ! [X2] :
( ~ model(X2,X0)
| model(X2,X1) )
& ? [X3] : model(X3,X0)
& ? [X4] : ~ model(X4,X1)
& ? [X5] :
( ~ model(X5,X0)
& model(X5,X1) ) )
=> ( ! [X2] :
( ~ model(X2,sK17)
| model(X2,sK18) )
& ? [X3] : model(X3,sK17)
& ? [X4] : ~ model(X4,sK18)
& ? [X5] :
( ~ model(X5,sK17)
& model(X5,sK18) ) ) ),
introduced(choice_axiom,[]) ).
fof(f115,plain,
( ? [X3] : model(X3,sK17)
=> model(sK19,sK17) ),
introduced(choice_axiom,[]) ).
fof(f116,plain,
( ? [X4] : ~ model(X4,sK18)
=> ~ model(sK20,sK18) ),
introduced(choice_axiom,[]) ).
fof(f117,plain,
( ? [X5] :
( ~ model(X5,sK17)
& model(X5,sK18) )
=> ( ~ model(sK21,sK17)
& model(sK21,sK18) ) ),
introduced(choice_axiom,[]) ).
fof(f113,plain,
? [X0,X1] :
( ! [X2] :
( ~ model(X2,X0)
| model(X2,X1) )
& ? [X3] : model(X3,X0)
& ? [X4] : ~ model(X4,X1)
& ? [X5] :
( ~ model(X5,X0)
& model(X5,X1) ) ),
inference(rectify,[],[f70]) ).
fof(f70,plain,
? [X0,X1] :
( ! [X3] :
( ~ model(X3,X0)
| model(X3,X1) )
& ? [X2] : model(X2,X0)
& ? [X4] : ~ model(X4,X1)
& ? [X5] :
( ~ model(X5,X0)
& model(X5,X1) ) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,plain,
? [X1,X0] :
( ? [X4] : ~ model(X4,X1)
& ! [X3] :
( model(X3,X0)
=> model(X3,X1) )
& ? [X5] :
( ~ model(X5,X0)
& model(X5,X1) )
& ? [X2] : model(X2,X0) ),
inference(rectify,[],[f31]) ).
fof(f31,axiom,
? [X0,X1] :
( ? [X2] : model(X2,X0)
& ! [X3] :
( model(X3,X0)
=> model(X3,X1) )
& ? [X5] : ~ model(X5,X1)
& ? [X4] :
( ~ model(X4,X0)
& model(X4,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mixed_pair) ).
fof(f238,plain,
! [X2] :
( model(X2,sK18)
| ~ model(X2,sK17) ),
inference(cnf_transformation,[],[f118]) ).
fof(f469,plain,
! [X13] : model(X13,sK17),
inference(resolution,[],[f458,f237]) ).
fof(f237,plain,
model(sK19,sK17),
inference(cnf_transformation,[],[f118]) ).
fof(f458,plain,
! [X10,X8,X9] :
( ~ model(X10,X9)
| model(X8,X9) ),
inference(resolution,[],[f455,f233]) ).
fof(f233,plain,
! [X1] : model(X1,sK16),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X1] : model(X1,sK16),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f58,f111]) ).
fof(f111,plain,
( ? [X0] :
! [X1] : model(X1,X0)
=> ! [X1] : model(X1,sK16) ),
introduced(choice_axiom,[]) ).
fof(f58,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(f455,plain,
! [X0,X1,X6,X7] :
( ~ model(sK46(X0),X0)
| model(X6,X1)
| ~ model(X7,X1) ),
inference(subsumption_resolution,[],[f279,f424]) ).
fof(f424,plain,
! [X0,X1] : ~ status(X0,X1,wtc),
inference(subsumption_resolution,[],[f422,f282]) ).
fof(f282,plain,
! [X2,X0,X1] :
( ~ status(X1,X0,wtc)
| model(X2,X0) ),
inference(cnf_transformation,[],[f180]) ).
fof(f180,plain,
! [X0,X1] :
( ( ( ! [X2] : model(X2,X0)
& ~ model(sK44(X1),X1)
& model(sK45(X1),X1) )
| ~ status(X1,X0,wtc) )
& ( status(X1,X0,wtc)
| ~ model(sK46(X0),X0)
| ! [X6] : model(X6,X1)
| ! [X7] : ~ model(X7,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK44,sK45,sK46])],[f176,f179,f178,f177]) ).
fof(f177,plain,
! [X1] :
( ? [X3] : ~ model(X3,X1)
=> ~ model(sK44(X1),X1) ),
introduced(choice_axiom,[]) ).
fof(f178,plain,
! [X1] :
( ? [X4] : model(X4,X1)
=> model(sK45(X1),X1) ),
introduced(choice_axiom,[]) ).
fof(f179,plain,
! [X0] :
( ? [X5] : ~ model(X5,X0)
=> ~ model(sK46(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f176,plain,
! [X0,X1] :
( ( ( ! [X2] : model(X2,X0)
& ? [X3] : ~ model(X3,X1)
& ? [X4] : model(X4,X1) )
| ~ status(X1,X0,wtc) )
& ( status(X1,X0,wtc)
| ? [X5] : ~ model(X5,X0)
| ! [X6] : model(X6,X1)
| ! [X7] : ~ model(X7,X1) ) ),
inference(rectify,[],[f175]) ).
fof(f175,plain,
! [X1,X0] :
( ( ( ! [X4] : model(X4,X1)
& ? [X2] : ~ model(X2,X0)
& ? [X3] : model(X3,X0) )
| ~ status(X0,X1,wtc) )
& ( status(X0,X1,wtc)
| ? [X4] : ~ model(X4,X1)
| ! [X2] : model(X2,X0)
| ! [X3] : ~ model(X3,X0) ) ),
inference(flattening,[],[f174]) ).
fof(f174,plain,
! [X1,X0] :
( ( ( ! [X4] : model(X4,X1)
& ? [X2] : ~ model(X2,X0)
& ? [X3] : model(X3,X0) )
| ~ status(X0,X1,wtc) )
& ( status(X0,X1,wtc)
| ? [X4] : ~ model(X4,X1)
| ! [X2] : model(X2,X0)
| ! [X3] : ~ model(X3,X0) ) ),
inference(nnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X1,X0] :
( ( ! [X4] : model(X4,X1)
& ? [X2] : ~ model(X2,X0)
& ? [X3] : model(X3,X0) )
<=> status(X0,X1,wtc) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X0,X1] :
( status(X0,X1,wtc)
<=> ( ? [X3] : ~ model(X3,X0)
& ? [X2] : model(X2,X0)
& ! [X4] : model(X4,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wtc) ).
fof(f422,plain,
! [X0,X1] :
( ~ status(X0,X1,wtc)
| ~ model(sK42(X0,X1),X1) ),
inference(resolution,[],[f421,f274]) ).
fof(f274,plain,
! [X0,X1] :
( status(X0,X1,thm)
| ~ model(sK42(X0,X1),X1) ),
inference(cnf_transformation,[],[f169]) ).
fof(f169,plain,
! [X0,X1] :
( ( ! [X2] :
( model(X2,X1)
| ~ model(X2,X0) )
| ~ status(X0,X1,thm) )
& ( status(X0,X1,thm)
| ( ~ model(sK42(X0,X1),X1)
& model(sK42(X0,X1),X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK42])],[f167,f168]) ).
fof(f168,plain,
! [X0,X1] :
( ? [X3] :
( ~ model(X3,X1)
& model(X3,X0) )
=> ( ~ model(sK42(X0,X1),X1)
& model(sK42(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f167,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,[],[f166]) ).
fof(f166,plain,
! [X0,X1] :
( ( ! [X2] :
( model(X2,X1)
| ~ model(X2,X0) )
| ~ status(X0,X1,thm) )
& ( status(X0,X1,thm)
| ? [X2] :
( ~ model(X2,X1)
& model(X2,X0) ) ) ),
inference(nnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0,X1] :
( ! [X2] :
( model(X2,X1)
| ~ model(X2,X0) )
<=> status(X0,X1,thm) ),
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(f421,plain,
! [X0,X1] :
( ~ status(X0,X1,thm)
| ~ status(X0,X1,wtc) ),
inference(resolution,[],[f283,f286]) ).
fof(f286,plain,
~ mighta(wtc,thm),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
~ mighta(wtc,thm),
inference(flattening,[],[f34]) ).
fof(f34,negated_conjecture,
~ mighta(wtc,thm),
inference(negated_conjecture,[],[f33]) ).
fof(f33,conjecture,
mighta(wtc,thm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mighta_wtc_thm) ).
fof(f283,plain,
! [X2,X3,X0,X1] :
( mighta(X0,X1)
| ~ status(X2,X3,X0)
| ~ status(X2,X3,X1) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0,X1] :
( mighta(X0,X1)
| ! [X2,X3] :
( ~ status(X2,X3,X1)
| ~ status(X2,X3,X0) ) ),
inference(ennf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0,X1] :
( ? [X3,X2] :
( status(X2,X3,X1)
& status(X2,X3,X0) )
=> mighta(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f54]) ).
fof(f54,plain,
! [X0,X1] :
( ? [X3,X2] :
( status(X2,X3,X1)
& status(X2,X3,X0) )
<=> mighta(X0,X1) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X6,X7] :
( mighta(X6,X7)
<=> ? [X0,X1] :
( status(X0,X1,X6)
& status(X0,X1,X7) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mighta) ).
fof(f279,plain,
! [X0,X1,X6,X7] :
( model(X6,X1)
| ~ model(sK46(X0),X0)
| ~ model(X7,X1)
| status(X1,X0,wtc) ),
inference(cnf_transformation,[],[f180]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS263+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 00:43:19 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.50 % (31015)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)
% 0.19/0.50 % (31027)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.50 % (31025)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.50 % (31023)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.50 % (31026)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)
% 0.19/0.50 % (31037)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)
% 0.19/0.50 % (31023)Instruction limit reached!
% 0.19/0.50 % (31023)------------------------------
% 0.19/0.50 % (31023)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (31016)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)
% 0.19/0.50 % (31022)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.50 % (31029)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)
% 0.19/0.51 % (31022)Instruction limit reached!
% 0.19/0.51 % (31022)------------------------------
% 0.19/0.51 % (31022)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (31031)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)
% 0.19/0.51 % (31023)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (31023)Termination reason: Unknown
% 0.19/0.51 % (31023)Termination phase: Preprocessing 3
% 0.19/0.51
% 0.19/0.51 % (31023)Memory used [KB]: 1023
% 0.19/0.51 % (31023)Time elapsed: 0.003 s
% 0.19/0.51 % (31023)Instructions burned: 3 (million)
% 0.19/0.51 % (31023)------------------------------
% 0.19/0.51 % (31023)------------------------------
% 0.19/0.51 % (31038)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)
% 0.19/0.51 % (31022)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (31022)Termination reason: Unknown
% 0.19/0.51 % (31022)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (31022)Memory used [KB]: 5628
% 0.19/0.51 % (31022)Time elapsed: 0.110 s
% 0.19/0.51 % (31022)Instructions burned: 7 (million)
% 0.19/0.51 % (31022)------------------------------
% 0.19/0.51 % (31022)------------------------------
% 0.19/0.51 % (31030)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)
% 0.19/0.51 % (31016)Refutation not found, incomplete strategy% (31016)------------------------------
% 0.19/0.51 % (31016)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (31016)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (31016)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51
% 0.19/0.51 % (31016)Memory used [KB]: 5628
% 0.19/0.51 % (31016)Time elapsed: 0.118 s
% 0.19/0.51 % (31016)Instructions burned: 6 (million)
% 0.19/0.51 % (31016)------------------------------
% 0.19/0.51 % (31016)------------------------------
% 0.19/0.51 % (31037)First to succeed.
% 0.19/0.51 % (31037)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Theorem for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (31037)------------------------------
% 0.19/0.51 % (31037)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (31037)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (31037)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (31037)Memory used [KB]: 1151
% 0.19/0.51 % (31037)Time elapsed: 0.079 s
% 0.19/0.51 % (31037)Instructions burned: 12 (million)
% 0.19/0.51 % (31037)------------------------------
% 0.19/0.51 % (31037)------------------------------
% 0.19/0.51 % (31014)Success in time 0.173 s
%------------------------------------------------------------------------------