TSTP Solution File: GEO264+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO264+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 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 : n022.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 16:12:30 EDT 2022
% Result : Theorem 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 3 unt; 0 def)
% Number of atoms : 47 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 47 ( 15 ~; 2 |; 23 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 38 ( 22 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f161,plain,
$false,
inference(subsumption_resolution,[],[f147,f141]) ).
fof(f141,plain,
! [X0,X1] : ~ left_apart_point(X0,X1),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0,X1] :
( ~ left_apart_point(X0,reverse_line(X1))
& ~ left_apart_point(X0,X1) ),
inference(rectify,[],[f100]) ).
fof(f100,plain,
! [X1,X0] :
( ~ left_apart_point(X1,reverse_line(X0))
& ~ left_apart_point(X1,X0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,plain,
! [X1,X0] :
~ ( left_apart_point(X1,reverse_line(X0))
| left_apart_point(X1,X0) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X1,X0] :
~ ( left_apart_point(X0,reverse_line(X1))
| left_apart_point(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oag10) ).
fof(f147,plain,
left_apart_point(sK1,line_connecting(sK2,sK3)),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
( left_apart_point(sK1,line_connecting(sK2,sK3))
& ~ left_apart_point(sK0,line_connecting(sK2,sK3))
& left_apart_point(sK0,reverse_line(line_connecting(sK1,sK2)))
& left_apart_point(sK0,reverse_line(line_connecting(sK3,sK1))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f114,f115]) ).
fof(f115,plain,
( ? [X0,X1,X2,X3] :
( left_apart_point(X1,line_connecting(X2,X3))
& ~ left_apart_point(X0,line_connecting(X2,X3))
& left_apart_point(X0,reverse_line(line_connecting(X1,X2)))
& left_apart_point(X0,reverse_line(line_connecting(X3,X1))) )
=> ( left_apart_point(sK1,line_connecting(sK2,sK3))
& ~ left_apart_point(sK0,line_connecting(sK2,sK3))
& left_apart_point(sK0,reverse_line(line_connecting(sK1,sK2)))
& left_apart_point(sK0,reverse_line(line_connecting(sK3,sK1))) ) ),
introduced(choice_axiom,[]) ).
fof(f114,plain,
? [X0,X1,X2,X3] :
( left_apart_point(X1,line_connecting(X2,X3))
& ~ left_apart_point(X0,line_connecting(X2,X3))
& left_apart_point(X0,reverse_line(line_connecting(X1,X2)))
& left_apart_point(X0,reverse_line(line_connecting(X3,X1))) ),
inference(rectify,[],[f72]) ).
fof(f72,plain,
? [X1,X2,X0,X3] :
( left_apart_point(X2,line_connecting(X0,X3))
& ~ left_apart_point(X1,line_connecting(X0,X3))
& left_apart_point(X1,reverse_line(line_connecting(X2,X0)))
& left_apart_point(X1,reverse_line(line_connecting(X3,X2))) ),
inference(flattening,[],[f71]) ).
fof(f71,plain,
? [X3,X0,X1,X2] :
( ~ left_apart_point(X1,line_connecting(X0,X3))
& left_apart_point(X1,reverse_line(line_connecting(X3,X2)))
& left_apart_point(X1,reverse_line(line_connecting(X2,X0)))
& left_apart_point(X2,line_connecting(X0,X3)) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,plain,
~ ! [X3,X0,X1,X2] :
( left_apart_point(X2,line_connecting(X0,X3))
=> ( ( left_apart_point(X1,reverse_line(line_connecting(X3,X2)))
& left_apart_point(X1,reverse_line(line_connecting(X2,X0))) )
=> left_apart_point(X1,line_connecting(X0,X3)) ) ),
inference(rectify,[],[f33]) ).
fof(f33,negated_conjecture,
~ ! [X0,X6,X4,X3] :
( left_apart_point(X4,line_connecting(X0,X3))
=> ( ( left_apart_point(X6,reverse_line(line_connecting(X4,X0)))
& left_apart_point(X6,reverse_line(line_connecting(X3,X4))) )
=> left_apart_point(X6,line_connecting(X0,X3)) ) ),
inference(negated_conjecture,[],[f32]) ).
fof(f32,conjecture,
! [X0,X6,X4,X3] :
( left_apart_point(X4,line_connecting(X0,X3))
=> ( ( left_apart_point(X6,reverse_line(line_connecting(X4,X0)))
& left_apart_point(X6,reverse_line(line_connecting(X3,X4))) )
=> left_apart_point(X6,line_connecting(X0,X3)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO264+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n022.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 29 21:35:26 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.50 % (20273)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)
% 0.19/0.50 % (20283)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 % (20273)First to succeed.
% 0.19/0.50 % (20273)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 % (20273)------------------------------
% 0.19/0.50 % (20273)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (20273)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (20273)Termination reason: Refutation
% 0.19/0.50
% 0.19/0.50 % (20273)Memory used [KB]: 1023
% 0.19/0.50 % (20273)Time elapsed: 0.003 s
% 0.19/0.50 % (20273)Instructions burned: 3 (million)
% 0.19/0.50 % (20273)------------------------------
% 0.19/0.50 % (20273)------------------------------
% 0.19/0.50 % (20268)Success in time 0.16 s
%------------------------------------------------------------------------------