TSTP Solution File: GEO237+3 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO237+3 : TPTP v8.1.0. Released v4.0.0.
% 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 : n014.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 16:09:27 EDT 2022
% Result : Theorem 0.19s 0.54s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 29 ( 6 unt; 0 def)
% Number of atoms : 105 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 119 ( 43 ~; 28 |; 37 &)
% ( 4 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 71 ( 55 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f141,plain,
$false,
inference(subsumption_resolution,[],[f140,f108]) ).
fof(f108,plain,
! [X0,X1] : ~ left_apart_point(X0,X1),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0,X1] :
( ~ left_apart_point(X0,reverse_line(X1))
& ~ left_apart_point(X0,X1) ),
inference(rectify,[],[f72]) ).
fof(f72,plain,
! [X1,X0] :
( ~ left_apart_point(X1,reverse_line(X0))
& ~ left_apart_point(X1,X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
~ ( left_apart_point(X1,reverse_line(X0))
| left_apart_point(X1,X0) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X3,X2] :
~ ( left_apart_point(X2,reverse_line(X3))
| left_apart_point(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10_basics) ).
fof(f140,plain,
left_apart_point(sK1,sK2),
inference(resolution,[],[f139,f123]) ).
fof(f123,plain,
divides_points(sK2,sK1,sK3),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
( ~ divides_points(sK2,sK3,sK0)
& ~ divides_points(sK2,sK1,sK0)
& apart_point_and_line(sK0,sK2)
& divides_points(sK2,sK1,sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f89,f90]) ).
fof(f90,plain,
( ? [X0,X1,X2,X3] :
( ~ divides_points(X2,X3,X0)
& ~ divides_points(X2,X1,X0)
& apart_point_and_line(X0,X2)
& divides_points(X2,X1,X3) )
=> ( ~ divides_points(sK2,sK3,sK0)
& ~ divides_points(sK2,sK1,sK0)
& apart_point_and_line(sK0,sK2)
& divides_points(sK2,sK1,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f89,plain,
? [X0,X1,X2,X3] :
( ~ divides_points(X2,X3,X0)
& ~ divides_points(X2,X1,X0)
& apart_point_and_line(X0,X2)
& divides_points(X2,X1,X3) ),
inference(rectify,[],[f66]) ).
fof(f66,plain,
? [X0,X3,X1,X2] :
( ~ divides_points(X1,X2,X0)
& ~ divides_points(X1,X3,X0)
& apart_point_and_line(X0,X1)
& divides_points(X1,X3,X2) ),
inference(flattening,[],[f65]) ).
fof(f65,plain,
? [X1,X0,X3,X2] :
( ~ divides_points(X1,X3,X0)
& ~ divides_points(X1,X2,X0)
& divides_points(X1,X3,X2)
& apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,plain,
~ ! [X1,X0,X3,X2] :
( apart_point_and_line(X0,X1)
=> ( divides_points(X1,X3,X2)
=> ( divides_points(X1,X3,X0)
| divides_points(X1,X2,X0) ) ) ),
inference(rectify,[],[f38]) ).
fof(f38,negated_conjecture,
~ ! [X6,X3,X5,X2] :
( apart_point_and_line(X6,X3)
=> ( divides_points(X3,X2,X5)
=> ( divides_points(X3,X5,X6)
| divides_points(X3,X2,X6) ) ) ),
inference(negated_conjecture,[],[f37]) ).
fof(f37,conjecture,
! [X6,X3,X5,X2] :
( apart_point_and_line(X6,X3)
=> ( divides_points(X3,X2,X5)
=> ( divides_points(X3,X5,X6)
| divides_points(X3,X2,X6) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f139,plain,
! [X2,X0,X1] :
( ~ divides_points(X1,X0,X2)
| left_apart_point(X0,X1) ),
inference(subsumption_resolution,[],[f103,f138]) ).
fof(f138,plain,
! [X0,X1] : ~ right_apart_point(X1,X0),
inference(subsumption_resolution,[],[f132,f109]) ).
fof(f109,plain,
! [X0,X1] : ~ left_apart_point(X0,reverse_line(X1)),
inference(cnf_transformation,[],[f81]) ).
fof(f132,plain,
! [X0,X1] :
( ~ right_apart_point(X1,X0)
| left_apart_point(X1,reverse_line(X0)) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0,X1] :
( ( left_apart_point(X1,reverse_line(X0))
| ~ right_apart_point(X1,X0) )
& ( right_apart_point(X1,X0)
| ~ left_apart_point(X1,reverse_line(X0)) ) ),
inference(nnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0,X1] :
( left_apart_point(X1,reverse_line(X0))
<=> right_apart_point(X1,X0) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X0] :
( left_apart_point(X0,reverse_line(X1))
<=> right_apart_point(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2_defns) ).
fof(f103,plain,
! [X2,X0,X1] :
( right_apart_point(X0,X1)
| ~ divides_points(X1,X0,X2)
| left_apart_point(X0,X1) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0,X1,X2] :
( ( divides_points(X1,X0,X2)
| ( ( ~ left_apart_point(X0,X1)
| ~ right_apart_point(X2,X1) )
& ( ~ left_apart_point(X2,X1)
| ~ right_apart_point(X0,X1) ) ) )
& ( ( left_apart_point(X0,X1)
& right_apart_point(X2,X1) )
| ( left_apart_point(X2,X1)
& right_apart_point(X0,X1) )
| ~ divides_points(X1,X0,X2) ) ),
inference(rectify,[],[f79]) ).
fof(f79,plain,
! [X2,X0,X1] :
( ( divides_points(X0,X2,X1)
| ( ( ~ left_apart_point(X2,X0)
| ~ right_apart_point(X1,X0) )
& ( ~ left_apart_point(X1,X0)
| ~ right_apart_point(X2,X0) ) ) )
& ( ( left_apart_point(X2,X0)
& right_apart_point(X1,X0) )
| ( left_apart_point(X1,X0)
& right_apart_point(X2,X0) )
| ~ divides_points(X0,X2,X1) ) ),
inference(flattening,[],[f78]) ).
fof(f78,plain,
! [X2,X0,X1] :
( ( divides_points(X0,X2,X1)
| ( ( ~ left_apart_point(X2,X0)
| ~ right_apart_point(X1,X0) )
& ( ~ left_apart_point(X1,X0)
| ~ right_apart_point(X2,X0) ) ) )
& ( ( left_apart_point(X2,X0)
& right_apart_point(X1,X0) )
| ( left_apart_point(X1,X0)
& right_apart_point(X2,X0) )
| ~ divides_points(X0,X2,X1) ) ),
inference(nnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X2,X0,X1] :
( divides_points(X0,X2,X1)
<=> ( ( left_apart_point(X2,X0)
& right_apart_point(X1,X0) )
| ( left_apart_point(X1,X0)
& right_apart_point(X2,X0) ) ) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X3,X5,X2] :
( divides_points(X3,X2,X5)
<=> ( ( right_apart_point(X5,X3)
& left_apart_point(X2,X3) )
| ( left_apart_point(X5,X3)
& right_apart_point(X2,X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a8_defns) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO237+3 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n014.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 29 21:34:03 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.47 % (8389)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.49 % (8389)Instruction limit reached!
% 0.19/0.49 % (8389)------------------------------
% 0.19/0.49 % (8389)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (8389)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (8389)Termination reason: Unknown
% 0.19/0.50 % (8389)Termination phase: Saturation
% 0.19/0.50
% 0.19/0.50 % (8389)Memory used [KB]: 6012
% 0.19/0.50 % (8389)Time elapsed: 0.097 s
% 0.19/0.50 % (8389)Instructions burned: 3 (million)
% 0.19/0.50 % (8389)------------------------------
% 0.19/0.50 % (8389)------------------------------
% 0.19/0.52 % (8412)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)
% 0.19/0.53 % (8404)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.53 % (8410)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.19/0.53 % (8397)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.19/0.53 % (8402)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.54 % (8412)First to succeed.
% 0.19/0.54 % (8410)Also succeeded, but the first one will report.
% 0.19/0.54 % (8412)Refutation found. Thanks to Tanya!
% 0.19/0.54 % SZS status Theorem for theBenchmark
% 0.19/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.54 % (8412)------------------------------
% 0.19/0.54 % (8412)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (8412)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (8412)Termination reason: Refutation
% 0.19/0.54
% 0.19/0.54 % (8412)Memory used [KB]: 6012
% 0.19/0.54 % (8412)Time elapsed: 0.140 s
% 0.19/0.54 % (8412)Instructions burned: 2 (million)
% 0.19/0.54 % (8412)------------------------------
% 0.19/0.54 % (8412)------------------------------
% 0.19/0.54 % (8386)Success in time 0.191 s
%------------------------------------------------------------------------------