TSTP Solution File: GEO244+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO244+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 : n011.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 16:12:27 EDT 2022
% Result : Theorem 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 6 unt; 0 def)
% Number of atoms : 41 ( 2 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 38 ( 15 ~; 2 |; 14 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 31 ( 19 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f167,plain,
$false,
inference(resolution,[],[f122,f161]) ).
fof(f161,plain,
left_apart_point(sK2,sF5),
inference(definition_folding,[],[f154,f160,f159]) ).
fof(f159,plain,
line_connecting(sK0,sK1) = sF4,
introduced(function_definition,[]) ).
fof(f160,plain,
reverse_line(sF4) = sF5,
introduced(function_definition,[]) ).
fof(f154,plain,
left_apart_point(sK2,reverse_line(line_connecting(sK0,sK1))),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
( ~ left_apart_point(sK2,line_connecting(sK1,sK0))
& distinct_points(sK0,sK1)
& left_apart_point(sK2,reverse_line(line_connecting(sK0,sK1))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f116,f117]) ).
fof(f117,plain,
( ? [X0,X1,X2] :
( ~ left_apart_point(X2,line_connecting(X1,X0))
& distinct_points(X0,X1)
& left_apart_point(X2,reverse_line(line_connecting(X0,X1))) )
=> ( ~ left_apart_point(sK2,line_connecting(sK1,sK0))
& distinct_points(sK0,sK1)
& left_apart_point(sK2,reverse_line(line_connecting(sK0,sK1))) ) ),
introduced(choice_axiom,[]) ).
fof(f116,plain,
? [X0,X1,X2] :
( ~ left_apart_point(X2,line_connecting(X1,X0))
& distinct_points(X0,X1)
& left_apart_point(X2,reverse_line(line_connecting(X0,X1))) ),
inference(rectify,[],[f88]) ).
fof(f88,plain,
? [X1,X2,X0] :
( ~ left_apart_point(X0,line_connecting(X2,X1))
& distinct_points(X1,X2)
& left_apart_point(X0,reverse_line(line_connecting(X1,X2))) ),
inference(flattening,[],[f87]) ).
fof(f87,plain,
? [X2,X0,X1] :
( ~ left_apart_point(X0,line_connecting(X2,X1))
& left_apart_point(X0,reverse_line(line_connecting(X1,X2)))
& distinct_points(X1,X2) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,plain,
~ ! [X2,X0,X1] :
( distinct_points(X1,X2)
=> ( left_apart_point(X0,reverse_line(line_connecting(X1,X2)))
=> left_apart_point(X0,line_connecting(X2,X1)) ) ),
inference(rectify,[],[f33]) ).
fof(f33,negated_conjecture,
~ ! [X4,X0,X3] :
( distinct_points(X0,X3)
=> ( left_apart_point(X4,reverse_line(line_connecting(X0,X3)))
=> left_apart_point(X4,line_connecting(X3,X0)) ) ),
inference(negated_conjecture,[],[f32]) ).
fof(f32,conjecture,
! [X4,X0,X3] :
( distinct_points(X0,X3)
=> ( left_apart_point(X4,reverse_line(line_connecting(X0,X3)))
=> left_apart_point(X4,line_connecting(X3,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f122,plain,
! [X0,X1] : ~ left_apart_point(X0,X1),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0,X1] :
( ~ left_apart_point(X0,X1)
& ~ left_apart_point(X0,reverse_line(X1)) ),
inference(rectify,[],[f91]) ).
fof(f91,plain,
! [X1,X0] :
( ~ left_apart_point(X1,X0)
& ~ left_apart_point(X1,reverse_line(X0)) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,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/sandbox/benchmark/theBenchmark.p',oag10) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO244+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.11/0.13 % 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 : n011.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 21:31:10 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.51 % (28383)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.51 % (28382)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.51 % (28383)First to succeed.
% 0.20/0.52 % (28391)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.52 % (28391)Also succeeded, but the first one will report.
% 0.20/0.52 % (28383)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Theorem for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52 % (28383)------------------------------
% 0.20/0.52 % (28383)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (28383)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (28383)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (28383)Memory used [KB]: 5500
% 0.20/0.52 % (28383)Time elapsed: 0.106 s
% 0.20/0.52 % (28383)Instructions burned: 3 (million)
% 0.20/0.52 % (28383)------------------------------
% 0.20/0.52 % (28383)------------------------------
% 0.20/0.52 % (28369)Success in time 0.169 s
%------------------------------------------------------------------------------