TSTP Solution File: GEO148+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO148+1 : TPTP v8.1.0. Released v2.4.0.
% 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 : n025.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 16:12:00 EDT 2022
% Result : Theorem 0.10s 0.48s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 38 ( 13 unt; 0 def)
% Number of atoms : 102 ( 6 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 100 ( 36 ~; 21 |; 29 &)
% ( 2 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 111 ( 84 !; 27 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f385,plain,
$false,
inference(subsumption_resolution,[],[f384,f328]) ).
fof(f328,plain,
once(at_the_same_time(at(sK12,sK11),at(sK10,sK11))),
inference(resolution,[],[f278,f238]) ).
fof(f238,plain,
connect(sK12,sK10,sK11),
inference(cnf_transformation,[],[f150]) ).
fof(f150,plain,
( connect(sK12,sK10,sK11)
& once(at_the_same_time(at(sK12,sK14),at(sK10,sK13)))
& ordered_by(trajectory_of(sK10),sK13,sK11)
& ordered_by(trajectory_of(sK12),sK11,sK14) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12,sK13,sK14])],[f147,f149,f148]) ).
fof(f148,plain,
( ? [X0,X1,X2] :
( connect(X2,X0,X1)
& ? [X3,X4] :
( once(at_the_same_time(at(X2,X4),at(X0,X3)))
& ordered_by(trajectory_of(X0),X3,X1)
& ordered_by(trajectory_of(X2),X1,X4) ) )
=> ( connect(sK12,sK10,sK11)
& ? [X4,X3] :
( once(at_the_same_time(at(sK12,X4),at(sK10,X3)))
& ordered_by(trajectory_of(sK10),X3,sK11)
& ordered_by(trajectory_of(sK12),sK11,X4) ) ) ),
introduced(choice_axiom,[]) ).
fof(f149,plain,
( ? [X4,X3] :
( once(at_the_same_time(at(sK12,X4),at(sK10,X3)))
& ordered_by(trajectory_of(sK10),X3,sK11)
& ordered_by(trajectory_of(sK12),sK11,X4) )
=> ( once(at_the_same_time(at(sK12,sK14),at(sK10,sK13)))
& ordered_by(trajectory_of(sK10),sK13,sK11)
& ordered_by(trajectory_of(sK12),sK11,sK14) ) ),
introduced(choice_axiom,[]) ).
fof(f147,plain,
? [X0,X1,X2] :
( connect(X2,X0,X1)
& ? [X3,X4] :
( once(at_the_same_time(at(X2,X4),at(X0,X3)))
& ordered_by(trajectory_of(X0),X3,X1)
& ordered_by(trajectory_of(X2),X1,X4) ) ),
inference(rectify,[],[f105]) ).
fof(f105,plain,
? [X2,X1,X0] :
( connect(X0,X2,X1)
& ? [X4,X3] :
( once(at_the_same_time(at(X0,X3),at(X2,X4)))
& ordered_by(trajectory_of(X2),X4,X1)
& ordered_by(trajectory_of(X0),X1,X3) ) ),
inference(flattening,[],[f104]) ).
fof(f104,plain,
? [X2,X0,X1] :
( ? [X4,X3] :
( once(at_the_same_time(at(X0,X3),at(X2,X4)))
& ordered_by(trajectory_of(X2),X4,X1)
& ordered_by(trajectory_of(X0),X1,X3) )
& connect(X0,X2,X1) ),
inference(ennf_transformation,[],[f64]) ).
fof(f64,plain,
~ ! [X2,X0,X1] :
( connect(X0,X2,X1)
=> ! [X4,X3] :
( ( ordered_by(trajectory_of(X2),X4,X1)
& ordered_by(trajectory_of(X0),X1,X3) )
=> ~ once(at_the_same_time(at(X0,X3),at(X2,X4))) ) ),
inference(rectify,[],[f38]) ).
fof(f38,negated_conjecture,
~ ! [X11,X2,X12] :
( connect(X11,X12,X2)
=> ! [X17,X18] :
( ( ordered_by(trajectory_of(X11),X2,X17)
& ordered_by(trajectory_of(X12),X18,X2) )
=> ~ once(at_the_same_time(at(X11,X17),at(X12,X18))) ) ),
inference(negated_conjecture,[],[f37]) ).
fof(f37,conjecture,
! [X11,X2,X12] :
( connect(X11,X12,X2)
=> ! [X17,X18] :
( ( ordered_by(trajectory_of(X11),X2,X17)
& ordered_by(trajectory_of(X12),X18,X2) )
=> ~ once(at_the_same_time(at(X11,X17),at(X12,X18))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t14) ).
fof(f278,plain,
! [X2,X0,X1] :
( ~ connect(X1,X2,X0)
| once(at_the_same_time(at(X1,X0),at(X2,X0))) ),
inference(cnf_transformation,[],[f181]) ).
fof(f181,plain,
! [X0,X1,X2] :
( once(at_the_same_time(at(X1,X0),at(X2,X0)))
| ~ connect(X1,X2,X0) ),
inference(rectify,[],[f108]) ).
fof(f108,plain,
! [X1,X2,X0] :
( once(at_the_same_time(at(X2,X1),at(X0,X1)))
| ~ connect(X2,X0,X1) ),
inference(ennf_transformation,[],[f75]) ).
fof(f75,plain,
! [X2,X1,X0] :
( connect(X2,X0,X1)
=> once(at_the_same_time(at(X2,X1),at(X0,X1))) ),
inference(unused_predicate_definition_removal,[],[f42]) ).
fof(f42,plain,
! [X2,X1,X0] :
( once(at_the_same_time(at(X2,X1),at(X0,X1)))
<=> connect(X2,X0,X1) ),
inference(rectify,[],[f28]) ).
fof(f28,axiom,
! [X12,X2,X11] :
( connect(X11,X12,X2)
<=> once(at_the_same_time(at(X11,X2),at(X12,X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',connect_defn) ).
fof(f384,plain,
~ once(at_the_same_time(at(sK12,sK11),at(sK10,sK11))),
inference(resolution,[],[f351,f296]) ).
fof(f296,plain,
ordered_by(sK6(sK10),sK13,sK11),
inference(definition_unfolding,[],[f236,f223]) ).
fof(f223,plain,
! [X0] : trajectory_of(X0) = sK6(X0),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0] : trajectory_of(X0) = sK6(X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f52,f132]) ).
fof(f132,plain,
! [X0] :
( ? [X1] : trajectory_of(X0) = X1
=> trajectory_of(X0) = sK6(X0) ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
! [X0] :
? [X1] : trajectory_of(X0) = X1,
inference(rectify,[],[f34]) ).
fof(f34,axiom,
! [X11] :
? [X8] : trajectory_of(X11) = X8,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',trajectories_are_oriented_curves) ).
fof(f236,plain,
ordered_by(trajectory_of(sK10),sK13,sK11),
inference(cnf_transformation,[],[f150]) ).
fof(f351,plain,
! [X0] :
( ~ ordered_by(sK6(sK10),sK13,X0)
| ~ once(at_the_same_time(at(sK12,sK11),at(sK10,X0))) ),
inference(resolution,[],[f342,f237]) ).
fof(f237,plain,
once(at_the_same_time(at(sK12,sK14),at(sK10,sK13))),
inference(cnf_transformation,[],[f150]) ).
fof(f342,plain,
! [X3,X4,X5] :
( ~ once(at_the_same_time(at(sK12,sK14),at(X3,X5)))
| ~ ordered_by(sK6(X3),X5,X4)
| ~ once(at_the_same_time(at(sK12,sK11),at(X3,X4))) ),
inference(resolution,[],[f295,f297]) ).
fof(f297,plain,
ordered_by(sK6(sK12),sK11,sK14),
inference(definition_unfolding,[],[f235,f223]) ).
fof(f235,plain,
ordered_by(trajectory_of(sK12),sK11,sK14),
inference(cnf_transformation,[],[f150]) ).
fof(f295,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ ordered_by(sK6(X3),X0,X4)
| ~ once(at_the_same_time(at(X3,X0),at(X2,X5)))
| ~ once(at_the_same_time(at(X3,X4),at(X2,X1)))
| ~ ordered_by(sK6(X2),X1,X5) ),
inference(definition_unfolding,[],[f234,f223,f223]) ).
fof(f234,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ once(at_the_same_time(at(X3,X0),at(X2,X5)))
| ~ once(at_the_same_time(at(X3,X4),at(X2,X1)))
| ~ ordered_by(trajectory_of(X2),X1,X5)
| ~ ordered_by(trajectory_of(X3),X0,X4) ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ once(at_the_same_time(at(X3,X0),at(X2,X5)))
| ~ once(at_the_same_time(at(X3,X4),at(X2,X1)))
| ~ ordered_by(trajectory_of(X2),X1,X5)
| ~ ordered_by(trajectory_of(X3),X0,X4) ),
inference(rectify,[],[f96]) ).
fof(f96,plain,
! [X3,X2,X5,X0,X1,X4] :
( ~ once(at_the_same_time(at(X0,X3),at(X5,X4)))
| ~ once(at_the_same_time(at(X0,X1),at(X5,X2)))
| ~ ordered_by(trajectory_of(X5),X2,X4)
| ~ ordered_by(trajectory_of(X0),X3,X1) ),
inference(flattening,[],[f95]) ).
fof(f95,plain,
! [X1,X2,X4,X0,X5,X3] :
( ~ ordered_by(trajectory_of(X0),X3,X1)
| ~ ordered_by(trajectory_of(X5),X2,X4)
| ~ once(at_the_same_time(at(X0,X3),at(X5,X4)))
| ~ once(at_the_same_time(at(X0,X1),at(X5,X2))) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,plain,
! [X1,X2,X4,X0,X5,X3] :
( ( once(at_the_same_time(at(X0,X3),at(X5,X4)))
& once(at_the_same_time(at(X0,X1),at(X5,X2))) )
=> ~ ( ordered_by(trajectory_of(X0),X3,X1)
& ordered_by(trajectory_of(X5),X2,X4) ) ),
inference(rectify,[],[f35]) ).
fof(f35,axiom,
! [X11,X17,X18,X15,X16,X12] :
( ( once(at_the_same_time(at(X11,X15),at(X12,X16)))
& once(at_the_same_time(at(X11,X17),at(X12,X18))) )
=> ~ ( ordered_by(trajectory_of(X12),X18,X16)
& ordered_by(trajectory_of(X11),X15,X17) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',homogeneous_behaviour) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.06 % Problem : GEO148+1 : TPTP v8.1.0. Released v2.4.0.
% 0.04/0.07 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.06/0.25 % Computer : n025.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 300
% 0.06/0.25 % DateTime : Mon Aug 29 21:30:14 EDT 2022
% 0.06/0.25 % CPUTime :
% 0.10/0.43 % (25812)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)
% 0.10/0.44 % (25811)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)
% 0.10/0.44 % (25795)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)
% 0.10/0.45 % (25796)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.10/0.45 TRYING [1]
% 0.10/0.45 % (25796)Instruction limit reached!
% 0.10/0.45 % (25796)------------------------------
% 0.10/0.45 % (25796)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.45 % (25803)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)
% 0.10/0.46 % (25796)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.46 % (25796)Termination reason: Unknown
% 0.10/0.46 % (25796)Termination phase: Saturation
% 0.10/0.46
% 0.10/0.46 % (25796)Memory used [KB]: 5628
% 0.10/0.46 % (25796)Time elapsed: 0.121 s
% 0.10/0.46 % (25796)Instructions burned: 7 (million)
% 0.10/0.46 % (25796)------------------------------
% 0.10/0.46 % (25796)------------------------------
% 0.10/0.46 % (25804)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)
% 0.10/0.47 % (25797)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.10/0.47 % (25797)Instruction limit reached!
% 0.10/0.47 % (25797)------------------------------
% 0.10/0.47 % (25797)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.47 % (25797)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.47 % (25797)Termination reason: Unknown
% 0.10/0.47 % (25797)Termination phase: shuffling
% 0.10/0.47
% 0.10/0.47 % (25797)Memory used [KB]: 895
% 0.10/0.47 % (25797)Time elapsed: 0.003 s
% 0.10/0.47 % (25797)Instructions burned: 2 (million)
% 0.10/0.47 % (25797)------------------------------
% 0.10/0.47 % (25797)------------------------------
% 0.10/0.47 % (25812)First to succeed.
% 0.10/0.47 TRYING [2]
% 0.10/0.48 % (25812)Refutation found. Thanks to Tanya!
% 0.10/0.48 % SZS status Theorem for theBenchmark
% 0.10/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.48 % (25812)------------------------------
% 0.10/0.48 % (25812)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.48 % (25812)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.48 % (25812)Termination reason: Refutation
% 0.10/0.48
% 0.10/0.48 % (25812)Memory used [KB]: 5756
% 0.10/0.48 % (25812)Time elapsed: 0.140 s
% 0.10/0.48 % (25812)Instructions burned: 13 (million)
% 0.10/0.48 % (25812)------------------------------
% 0.10/0.48 % (25812)------------------------------
% 0.10/0.48 % (25788)Success in time 0.219 s
%------------------------------------------------------------------------------