TSTP Solution File: SET755+4 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET755+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 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 : n012.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 18:25:33 EDT 2022
% Result : Theorem 2.07s 0.62s
% Output : Refutation 2.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 6
% Syntax : Number of formulae : 38 ( 9 unt; 0 def)
% Number of atoms : 131 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 132 ( 39 ~; 29 |; 51 &)
% ( 5 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 103 ( 75 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f258,plain,
$false,
inference(subsumption_resolution,[],[f256,f169]) ).
fof(f169,plain,
~ subset(inverse_image2(sK8,sK9),inverse_image2(sK8,sK10)),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
( subset(sK9,sK10)
& ~ subset(inverse_image2(sK8,sK9),inverse_image2(sK8,sK10))
& maps(sK8,sK12,sK11)
& subset(sK10,sK11)
& subset(sK9,sK11) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10,sK11,sK12])],[f115,f116]) ).
fof(f116,plain,
( ? [X0,X1,X2,X3,X4] :
( subset(X1,X2)
& ~ subset(inverse_image2(X0,X1),inverse_image2(X0,X2))
& maps(X0,X4,X3)
& subset(X2,X3)
& subset(X1,X3) )
=> ( subset(sK9,sK10)
& ~ subset(inverse_image2(sK8,sK9),inverse_image2(sK8,sK10))
& maps(sK8,sK12,sK11)
& subset(sK10,sK11)
& subset(sK9,sK11) ) ),
introduced(choice_axiom,[]) ).
fof(f115,plain,
? [X0,X1,X2,X3,X4] :
( subset(X1,X2)
& ~ subset(inverse_image2(X0,X1),inverse_image2(X0,X2))
& maps(X0,X4,X3)
& subset(X2,X3)
& subset(X1,X3) ),
inference(rectify,[],[f63]) ).
fof(f63,plain,
? [X1,X4,X3,X0,X2] :
( subset(X4,X3)
& ~ subset(inverse_image2(X1,X4),inverse_image2(X1,X3))
& maps(X1,X2,X0)
& subset(X3,X0)
& subset(X4,X0) ),
inference(flattening,[],[f62]) ).
fof(f62,plain,
? [X4,X1,X2,X0,X3] :
( ~ subset(inverse_image2(X1,X4),inverse_image2(X1,X3))
& maps(X1,X2,X0)
& subset(X3,X0)
& subset(X4,X0)
& subset(X4,X3) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,plain,
~ ! [X4,X1,X2,X0,X3] :
( ( maps(X1,X2,X0)
& subset(X3,X0)
& subset(X4,X0)
& subset(X4,X3) )
=> subset(inverse_image2(X1,X4),inverse_image2(X1,X3)) ),
inference(rectify,[],[f30]) ).
fof(f30,negated_conjecture,
~ ! [X1,X5,X0,X4,X2] :
( ( subset(X2,X1)
& subset(X2,X4)
& maps(X5,X0,X1)
& subset(X4,X1) )
=> subset(inverse_image2(X5,X2),inverse_image2(X5,X4)) ),
inference(negated_conjecture,[],[f29]) ).
fof(f29,conjecture,
! [X1,X5,X0,X4,X2] :
( ( subset(X2,X1)
& subset(X2,X4)
& maps(X5,X0,X1)
& subset(X4,X1) )
=> subset(inverse_image2(X5,X2),inverse_image2(X5,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thIIa05) ).
fof(f256,plain,
subset(inverse_image2(sK8,sK9),inverse_image2(sK8,sK10)),
inference(resolution,[],[f226,f161]) ).
fof(f161,plain,
! [X0,X1] :
( ~ member(sK7(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( member(sK7(X0,X1),X0)
& ~ member(sK7(X0,X1),X1) ) )
& ( ! [X3] :
( ~ member(X3,X0)
| member(X3,X1) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f109,f110]) ).
fof(f110,plain,
! [X0,X1] :
( ? [X2] :
( member(X2,X0)
& ~ member(X2,X1) )
=> ( member(sK7(X0,X1),X0)
& ~ member(sK7(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f109,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( member(X2,X0)
& ~ member(X2,X1) ) )
& ( ! [X3] :
( ~ member(X3,X0)
| member(X3,X1) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f108]) ).
fof(f108,plain,
! [X1,X0] :
( ( subset(X1,X0)
| ? [X2] :
( member(X2,X1)
& ~ member(X2,X0) ) )
& ( ! [X2] :
( ~ member(X2,X1)
| member(X2,X0) )
| ~ subset(X1,X0) ) ),
inference(nnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X1,X0] :
( subset(X1,X0)
<=> ! [X2] :
( ~ member(X2,X1)
| member(X2,X0) ) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1] :
( subset(X1,X0)
<=> ! [X2] :
( member(X2,X1)
=> member(X2,X0) ) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( ! [X2] :
( member(X2,X0)
=> member(X2,X1) )
<=> subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset) ).
fof(f226,plain,
member(sK7(inverse_image2(sK8,sK9),inverse_image2(sK8,sK10)),inverse_image2(sK8,sK10)),
inference(resolution,[],[f197,f192]) ).
fof(f192,plain,
member(sK3(sK8,sK9,sK7(inverse_image2(sK8,sK9),inverse_image2(sK8,sK10))),sK10),
inference(resolution,[],[f188,f170]) ).
fof(f170,plain,
subset(sK9,sK10),
inference(cnf_transformation,[],[f117]) ).
fof(f188,plain,
! [X0] :
( ~ subset(sK9,X0)
| member(sK3(sK8,sK9,sK7(inverse_image2(sK8,sK9),inverse_image2(sK8,sK10))),X0) ),
inference(resolution,[],[f186,f160]) ).
fof(f160,plain,
! [X3,X0,X1] :
( ~ member(X3,X0)
| ~ subset(X0,X1)
| member(X3,X1) ),
inference(cnf_transformation,[],[f111]) ).
fof(f186,plain,
member(sK3(sK8,sK9,sK7(inverse_image2(sK8,sK9),inverse_image2(sK8,sK10))),sK9),
inference(resolution,[],[f184,f146]) ).
fof(f146,plain,
! [X2,X0,X1] :
( ~ member(X2,inverse_image2(X0,X1))
| member(sK3(X0,X1,X2),X1) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0,X1,X2] :
( ( member(X2,inverse_image2(X0,X1))
| ! [X3] :
( ~ apply(X0,X2,X3)
| ~ member(X3,X1) ) )
& ( ( apply(X0,X2,sK3(X0,X1,X2))
& member(sK3(X0,X1,X2),X1) )
| ~ member(X2,inverse_image2(X0,X1)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f92,f93]) ).
fof(f93,plain,
! [X0,X1,X2] :
( ? [X4] :
( apply(X0,X2,X4)
& member(X4,X1) )
=> ( apply(X0,X2,sK3(X0,X1,X2))
& member(sK3(X0,X1,X2),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f92,plain,
! [X0,X1,X2] :
( ( member(X2,inverse_image2(X0,X1))
| ! [X3] :
( ~ apply(X0,X2,X3)
| ~ member(X3,X1) ) )
& ( ? [X4] :
( apply(X0,X2,X4)
& member(X4,X1) )
| ~ member(X2,inverse_image2(X0,X1)) ) ),
inference(rectify,[],[f91]) ).
fof(f91,plain,
! [X2,X0,X1] :
( ( member(X1,inverse_image2(X2,X0))
| ! [X3] :
( ~ apply(X2,X1,X3)
| ~ member(X3,X0) ) )
& ( ? [X3] :
( apply(X2,X1,X3)
& member(X3,X0) )
| ~ member(X1,inverse_image2(X2,X0)) ) ),
inference(nnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X2,X0,X1] :
( member(X1,inverse_image2(X2,X0))
<=> ? [X3] :
( apply(X2,X1,X3)
& member(X3,X0) ) ),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X1,X2,X5] :
( ? [X4] :
( apply(X5,X2,X4)
& member(X4,X1) )
<=> member(X2,inverse_image2(X5,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse_image2) ).
fof(f184,plain,
member(sK7(inverse_image2(sK8,sK9),inverse_image2(sK8,sK10)),inverse_image2(sK8,sK9)),
inference(resolution,[],[f162,f169]) ).
fof(f162,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK7(X0,X1),X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f197,plain,
! [X3] :
( ~ member(sK3(sK8,sK9,sK7(inverse_image2(sK8,sK9),inverse_image2(sK8,sK10))),X3)
| member(sK7(inverse_image2(sK8,sK9),inverse_image2(sK8,sK10)),inverse_image2(sK8,X3)) ),
inference(resolution,[],[f185,f148]) ).
fof(f148,plain,
! [X2,X3,X0,X1] :
( ~ apply(X0,X2,X3)
| ~ member(X3,X1)
| member(X2,inverse_image2(X0,X1)) ),
inference(cnf_transformation,[],[f94]) ).
fof(f185,plain,
apply(sK8,sK7(inverse_image2(sK8,sK9),inverse_image2(sK8,sK10)),sK3(sK8,sK9,sK7(inverse_image2(sK8,sK9),inverse_image2(sK8,sK10)))),
inference(resolution,[],[f184,f147]) ).
fof(f147,plain,
! [X2,X0,X1] :
( ~ member(X2,inverse_image2(X0,X1))
| apply(X0,X2,sK3(X0,X1,X2)) ),
inference(cnf_transformation,[],[f94]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET755+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.12/0.13 % 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 : n012.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 14:17:50 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (27203)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 TRYING [1]
% 0.19/0.52 TRYING [2]
% 0.19/0.54 % (27219)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 % (27211)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.54 % (27205)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)
% 0.19/0.54 TRYING [3]
% 0.19/0.55 % (27206)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)
% 0.19/0.55 % (27211)Instruction limit reached!
% 0.19/0.55 % (27211)------------------------------
% 0.19/0.55 % (27211)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (27211)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (27211)Termination reason: Unknown
% 0.19/0.55 % (27211)Termination phase: Preprocessing 3
% 0.19/0.55
% 0.19/0.55 % (27211)Memory used [KB]: 1023
% 0.19/0.55 % (27211)Time elapsed: 0.004 s
% 0.19/0.55 % (27211)Instructions burned: 3 (million)
% 0.19/0.55 % (27211)------------------------------
% 0.19/0.55 % (27211)------------------------------
% 0.19/0.56 % (27204)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)
% 0.19/0.56 % (27222)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)
% 0.19/0.57 % (27214)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)
% 0.19/0.57 % (27229)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)
% 0.19/0.58 % (27209)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)
% 0.19/0.58 % (27204)Refutation not found, incomplete strategy% (27204)------------------------------
% 0.19/0.58 % (27204)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58 % (27204)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58 % (27204)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.58
% 0.19/0.58 % (27204)Memory used [KB]: 5628
% 0.19/0.58 % (27204)Time elapsed: 0.159 s
% 0.19/0.58 % (27204)Instructions burned: 5 (million)
% 0.19/0.58 % (27204)------------------------------
% 0.19/0.58 % (27204)------------------------------
% 0.19/0.58 % (27227)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.59 % (27218)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)
% 0.19/0.59 % (27216)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.59 % (27221)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.59 % (27215)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.59 % (27226)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)
% 0.19/0.59 % (27217)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)
% 0.19/0.59 % (27213)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.75/0.60 % (27220)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.75/0.61 % (27208)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)
% 1.75/0.61 TRYING [1]
% 1.75/0.61 % (27207)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.75/0.61 TRYING [2]
% 1.75/0.61 % (27212)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)
% 1.75/0.62 % (27226)First to succeed.
% 2.07/0.62 % (27226)Refutation found. Thanks to Tanya!
% 2.07/0.62 % SZS status Theorem for theBenchmark
% 2.07/0.62 % SZS output start Proof for theBenchmark
% See solution above
% 2.07/0.62 % (27226)------------------------------
% 2.07/0.62 % (27226)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.07/0.62 % (27226)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.07/0.62 % (27226)Termination reason: Refutation
% 2.07/0.62
% 2.07/0.62 % (27226)Memory used [KB]: 5628
% 2.07/0.62 % (27226)Time elapsed: 0.135 s
% 2.07/0.62 % (27226)Instructions burned: 8 (million)
% 2.07/0.62 % (27226)------------------------------
% 2.07/0.62 % (27226)------------------------------
% 2.07/0.62 % (27202)Success in time 0.269 s
%------------------------------------------------------------------------------