TSTP Solution File: GEO148+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---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_uns --cores 0 -t %d %s
% Computer : n023.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 16:08:42 EDT 2022
% Result : Theorem 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 37 ( 13 unt; 0 def)
% Number of atoms : 100 ( 6 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 98 ( 35 ~; 20 |; 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 : 107 ( 80 !; 27 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f178,plain,
$false,
inference(subsumption_resolution,[],[f177,f129]) ).
fof(f129,plain,
once(at_the_same_time(at(sK1,sK2),at(sK3,sK2))),
inference(resolution,[],[f82,f91]) ).
fof(f91,plain,
connect(sK1,sK3,sK2),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
( connect(sK1,sK3,sK2)
& ordered_by(trajectory_of(sK3),sK4,sK2)
& ordered_by(trajectory_of(sK1),sK2,sK5)
& once(at_the_same_time(at(sK1,sK5),at(sK3,sK4))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5])],[f67,f69,f68]) ).
fof(f68,plain,
( ? [X0,X1,X2] :
( connect(X0,X2,X1)
& ? [X3,X4] :
( ordered_by(trajectory_of(X2),X3,X1)
& ordered_by(trajectory_of(X0),X1,X4)
& once(at_the_same_time(at(X0,X4),at(X2,X3))) ) )
=> ( connect(sK1,sK3,sK2)
& ? [X4,X3] :
( ordered_by(trajectory_of(sK3),X3,sK2)
& ordered_by(trajectory_of(sK1),sK2,X4)
& once(at_the_same_time(at(sK1,X4),at(sK3,X3))) ) ) ),
introduced(choice_axiom,[]) ).
fof(f69,plain,
( ? [X4,X3] :
( ordered_by(trajectory_of(sK3),X3,sK2)
& ordered_by(trajectory_of(sK1),sK2,X4)
& once(at_the_same_time(at(sK1,X4),at(sK3,X3))) )
=> ( ordered_by(trajectory_of(sK3),sK4,sK2)
& ordered_by(trajectory_of(sK1),sK2,sK5)
& once(at_the_same_time(at(sK1,sK5),at(sK3,sK4))) ) ),
introduced(choice_axiom,[]) ).
fof(f67,plain,
? [X0,X1,X2] :
( connect(X0,X2,X1)
& ? [X3,X4] :
( ordered_by(trajectory_of(X2),X3,X1)
& ordered_by(trajectory_of(X0),X1,X4)
& once(at_the_same_time(at(X0,X4),at(X2,X3))) ) ),
inference(rectify,[],[f60]) ).
fof(f60,plain,
? [X1,X2,X0] :
( connect(X1,X0,X2)
& ? [X4,X3] :
( ordered_by(trajectory_of(X0),X4,X2)
& ordered_by(trajectory_of(X1),X2,X3)
& once(at_the_same_time(at(X1,X3),at(X0,X4))) ) ),
inference(flattening,[],[f59]) ).
fof(f59,plain,
? [X2,X1,X0] :
( ? [X4,X3] :
( once(at_the_same_time(at(X1,X3),at(X0,X4)))
& ordered_by(trajectory_of(X0),X4,X2)
& ordered_by(trajectory_of(X1),X2,X3) )
& connect(X1,X0,X2) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,plain,
~ ! [X2,X1,X0] :
( connect(X1,X0,X2)
=> ! [X4,X3] :
( ( ordered_by(trajectory_of(X0),X4,X2)
& ordered_by(trajectory_of(X1),X2,X3) )
=> ~ once(at_the_same_time(at(X1,X3),at(X0,X4))) ) ),
inference(rectify,[],[f38]) ).
fof(f38,negated_conjecture,
~ ! [X12,X11,X2] :
( 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,
! [X12,X11,X2] :
( 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/sandbox/benchmark/theBenchmark.p',t14) ).
fof(f82,plain,
! [X2,X0,X1] :
( ~ connect(X1,X0,X2)
| once(at_the_same_time(at(X1,X2),at(X0,X2))) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1,X2] :
( once(at_the_same_time(at(X1,X2),at(X0,X2)))
| ~ connect(X1,X0,X2) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X2,X1] :
( connect(X1,X0,X2)
=> once(at_the_same_time(at(X1,X2),at(X0,X2))) ),
inference(unused_predicate_definition_removal,[],[f50]) ).
fof(f50,plain,
! [X0,X2,X1] :
( connect(X1,X0,X2)
<=> once(at_the_same_time(at(X1,X2),at(X0,X2))) ),
inference(rectify,[],[f28]) ).
fof(f28,axiom,
! [X12,X11,X2] :
( connect(X11,X12,X2)
<=> once(at_the_same_time(at(X11,X2),at(X12,X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',connect_defn) ).
fof(f177,plain,
~ once(at_the_same_time(at(sK1,sK2),at(sK3,sK2))),
inference(subsumption_resolution,[],[f176,f88]) ).
fof(f88,plain,
once(at_the_same_time(at(sK1,sK5),at(sK3,sK4))),
inference(cnf_transformation,[],[f70]) ).
fof(f176,plain,
( ~ once(at_the_same_time(at(sK1,sK5),at(sK3,sK4)))
| ~ once(at_the_same_time(at(sK1,sK2),at(sK3,sK2))) ),
inference(resolution,[],[f139,f107]) ).
fof(f107,plain,
ordered_by(sK0(sK1),sK2,sK5),
inference(definition_unfolding,[],[f89,f86]) ).
fof(f86,plain,
! [X0] : trajectory_of(X0) = sK0(X0),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0] : trajectory_of(X0) = sK0(X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f48,f65]) ).
fof(f65,plain,
! [X0] :
( ? [X1] : trajectory_of(X0) = X1
=> trajectory_of(X0) = sK0(X0) ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
! [X0] :
? [X1] : trajectory_of(X0) = X1,
inference(rectify,[],[f34]) ).
fof(f34,axiom,
! [X11] :
? [X8] : trajectory_of(X11) = X8,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',trajectories_are_oriented_curves) ).
fof(f89,plain,
ordered_by(trajectory_of(sK1),sK2,sK5),
inference(cnf_transformation,[],[f70]) ).
fof(f139,plain,
! [X2,X0,X1] :
( ~ ordered_by(sK0(X0),X2,X1)
| ~ once(at_the_same_time(at(X0,X2),at(sK3,sK2)))
| ~ once(at_the_same_time(at(X0,X1),at(sK3,sK4))) ),
inference(resolution,[],[f103,f106]) ).
fof(f106,plain,
ordered_by(sK0(sK3),sK4,sK2),
inference(definition_unfolding,[],[f90,f86]) ).
fof(f90,plain,
ordered_by(trajectory_of(sK3),sK4,sK2),
inference(cnf_transformation,[],[f70]) ).
fof(f103,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ ordered_by(sK0(X5),X4,X3)
| ~ once(at_the_same_time(at(X0,X1),at(X5,X4)))
| ~ ordered_by(sK0(X0),X2,X1)
| ~ once(at_the_same_time(at(X0,X2),at(X5,X3))) ),
inference(definition_unfolding,[],[f83,f86,f86]) ).
fof(f83,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ once(at_the_same_time(at(X0,X1),at(X5,X4)))
| ~ ordered_by(trajectory_of(X5),X4,X3)
| ~ once(at_the_same_time(at(X0,X2),at(X5,X3)))
| ~ ordered_by(trajectory_of(X0),X2,X1) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ once(at_the_same_time(at(X0,X1),at(X5,X4)))
| ~ ordered_by(trajectory_of(X5),X4,X3)
| ~ once(at_the_same_time(at(X0,X2),at(X5,X3)))
| ~ ordered_by(trajectory_of(X0),X2,X1) ),
inference(rectify,[],[f58]) ).
fof(f58,plain,
! [X4,X5,X0,X2,X3,X1] :
( ~ once(at_the_same_time(at(X4,X5),at(X1,X3)))
| ~ ordered_by(trajectory_of(X1),X3,X2)
| ~ once(at_the_same_time(at(X4,X0),at(X1,X2)))
| ~ ordered_by(trajectory_of(X4),X0,X5) ),
inference(flattening,[],[f57]) ).
fof(f57,plain,
! [X1,X4,X5,X3,X2,X0] :
( ~ ordered_by(trajectory_of(X4),X0,X5)
| ~ ordered_by(trajectory_of(X1),X3,X2)
| ~ once(at_the_same_time(at(X4,X5),at(X1,X3)))
| ~ once(at_the_same_time(at(X4,X0),at(X1,X2))) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,plain,
! [X1,X4,X5,X3,X2,X0] :
( ( once(at_the_same_time(at(X4,X5),at(X1,X3)))
& once(at_the_same_time(at(X4,X0),at(X1,X2))) )
=> ~ ( ordered_by(trajectory_of(X4),X0,X5)
& ordered_by(trajectory_of(X1),X3,X2) ) ),
inference(rectify,[],[f35]) ).
fof(f35,axiom,
! [X15,X12,X16,X18,X11,X17] :
( ( once(at_the_same_time(at(X11,X17),at(X12,X18)))
& once(at_the_same_time(at(X11,X15),at(X12,X16))) )
=> ~ ( ordered_by(trajectory_of(X12),X18,X16)
& ordered_by(trajectory_of(X11),X15,X17) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',homogeneous_behaviour) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO148+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n023.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 : Mon Aug 29 21:42:05 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.48 % (17395)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.49 % (17403)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.19/0.49 % (17403)First to succeed.
% 0.19/0.50 % (17395)Instruction limit reached!
% 0.19/0.50 % (17395)------------------------------
% 0.19/0.50 % (17395)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (17395)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (17395)Termination reason: Unknown
% 0.19/0.50 % (17395)Termination phase: Preprocessing 3
% 0.19/0.50
% 0.19/0.50 % (17395)Memory used [KB]: 1535
% 0.19/0.50 % (17395)Time elapsed: 0.005 s
% 0.19/0.50 % (17395)Instructions burned: 4 (million)
% 0.19/0.50 % (17395)------------------------------
% 0.19/0.50 % (17395)------------------------------
% 0.19/0.50 % (17403)Refutation found. Thanks to Tanya!
% 0.19/0.50 % SZS status Theorem for theBenchmark
% 0.19/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50 % (17403)------------------------------
% 0.19/0.50 % (17403)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (17403)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (17403)Termination reason: Refutation
% 0.19/0.50
% 0.19/0.50 % (17403)Memory used [KB]: 6012
% 0.19/0.50 % (17403)Time elapsed: 0.078 s
% 0.19/0.50 % (17403)Instructions burned: 6 (million)
% 0.19/0.50 % (17403)------------------------------
% 0.19/0.50 % (17403)------------------------------
% 0.19/0.50 % (17377)Success in time 0.147 s
%------------------------------------------------------------------------------