TSTP Solution File: GEO226+3 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO226+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_sat --cores 0 -t %d %s
% Computer : n003.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 16:12:23 EDT 2022
% Result : Theorem 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 41 ( 6 unt; 0 def)
% Number of atoms : 116 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 121 ( 46 ~; 30 |; 29 &)
% ( 2 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 79 ( 70 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f243,plain,
$false,
inference(subsumption_resolution,[],[f242,f181]) ).
fof(f181,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ convergent_lines(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart3) ).
fof(f242,plain,
convergent_lines(sK1,sK1),
inference(resolution,[],[f212,f201]) ).
fof(f201,plain,
~ convergent_lines(sK0,sK1),
inference(duplicate_literal_removal,[],[f200]) ).
fof(f200,plain,
( ~ convergent_lines(sK0,sK1)
| ~ convergent_lines(sK0,sK1) ),
inference(resolution,[],[f198,f197]) ).
fof(f197,plain,
! [X0,X1] :
( incident_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(resolution,[],[f175,f139]) ).
fof(f139,plain,
! [X0,X1] :
( apart_point_and_line(X0,X1)
| incident_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0,X1] :
( incident_point_and_line(X0,X1)
| apart_point_and_line(X0,X1) ),
inference(rectify,[],[f83]) ).
fof(f83,plain,
! [X1,X0] :
( incident_point_and_line(X1,X0)
| apart_point_and_line(X1,X0) ),
inference(ennf_transformation,[],[f64]) ).
fof(f64,plain,
! [X1,X0] :
( ~ apart_point_and_line(X1,X0)
=> incident_point_and_line(X1,X0) ),
inference(unused_predicate_definition_removal,[],[f58]) ).
fof(f58,plain,
! [X1,X0] :
( incident_point_and_line(X1,X0)
<=> ~ apart_point_and_line(X1,X0) ),
inference(rectify,[],[f34]) ).
fof(f34,axiom,
! [X1,X0] :
( ~ apart_point_and_line(X0,X1)
<=> incident_point_and_line(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a4) ).
fof(f175,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| ~ apart_point_and_line(intersection_point(X0,X1),X0) ),
inference(rectify,[],[f95]) ).
fof(f95,plain,
! [X1,X0] :
( ~ convergent_lines(X1,X0)
| ~ apart_point_and_line(intersection_point(X1,X0),X1) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,plain,
! [X1,X0] :
( convergent_lines(X1,X0)
=> ~ apart_point_and_line(intersection_point(X1,X0),X1) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X1,X0] :
( convergent_lines(X0,X1)
=> ~ apart_point_and_line(intersection_point(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ci3) ).
fof(f198,plain,
! [X0] :
( ~ incident_point_and_line(intersection_point(X0,sK1),sK0)
| ~ convergent_lines(X0,sK1) ),
inference(resolution,[],[f196,f179]) ).
fof(f179,plain,
! [X2] :
( ~ incident_point_and_line(X2,sK1)
| ~ incident_point_and_line(X2,sK0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
( ! [X2] :
( point(X2)
& ( ~ incident_point_and_line(X2,sK0)
| ~ incident_point_and_line(X2,sK1) ) )
& line(sK0)
& line(sK1)
& convergent_lines(sK1,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f68,f132]) ).
fof(f132,plain,
( ? [X0,X1] :
( ! [X2] :
( point(X2)
& ( ~ incident_point_and_line(X2,X0)
| ~ incident_point_and_line(X2,X1) ) )
& line(X0)
& line(X1)
& convergent_lines(X1,X0) )
=> ( ! [X2] :
( point(X2)
& ( ~ incident_point_and_line(X2,sK0)
| ~ incident_point_and_line(X2,sK1) ) )
& line(sK0)
& line(sK1)
& convergent_lines(sK1,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f68,plain,
? [X0,X1] :
( ! [X2] :
( point(X2)
& ( ~ incident_point_and_line(X2,X0)
| ~ incident_point_and_line(X2,X1) ) )
& line(X0)
& line(X1)
& convergent_lines(X1,X0) ),
inference(flattening,[],[f67]) ).
fof(f67,plain,
? [X0,X1] :
( ! [X2] :
( point(X2)
& ( ~ incident_point_and_line(X2,X0)
| ~ incident_point_and_line(X2,X1) ) )
& line(X0)
& convergent_lines(X1,X0)
& line(X1) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,plain,
~ ! [X0,X1] :
( ( line(X0)
& convergent_lines(X1,X0)
& line(X1) )
=> ? [X2] :
( point(X2)
=> ( incident_point_and_line(X2,X1)
& incident_point_and_line(X2,X0) ) ) ),
inference(rectify,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X6,X5] :
( ( line(X5)
& line(X6)
& convergent_lines(X5,X6) )
=> ? [X0] :
( point(X0)
=> ( incident_point_and_line(X0,X6)
& incident_point_and_line(X0,X5) ) ) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X6,X5] :
( ( line(X5)
& line(X6)
& convergent_lines(X5,X6) )
=> ? [X0] :
( point(X0)
=> ( incident_point_and_line(X0,X6)
& incident_point_and_line(X0,X5) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f196,plain,
! [X0,X1] :
( incident_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(resolution,[],[f167,f139]) ).
fof(f167,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(rectify,[],[f71]) ).
fof(f71,plain,
! [X1,X0] :
( ~ apart_point_and_line(intersection_point(X1,X0),X0)
| ~ convergent_lines(X1,X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1] :
( convergent_lines(X1,X0)
=> ~ apart_point_and_line(intersection_point(X1,X0),X0) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X1,X0] :
( convergent_lines(X0,X1)
=> ~ apart_point_and_line(intersection_point(X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ci4) ).
fof(f212,plain,
! [X0] :
( convergent_lines(sK0,X0)
| convergent_lines(sK1,X0) ),
inference(resolution,[],[f173,f176]) ).
fof(f176,plain,
convergent_lines(sK1,sK0),
inference(cnf_transformation,[],[f133]) ).
fof(f173,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X1,X2)
| convergent_lines(X1,X0)
| convergent_lines(X2,X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0,X1,X2] :
( convergent_lines(X2,X0)
| convergent_lines(X1,X0)
| ~ convergent_lines(X1,X2) ),
inference(rectify,[],[f70]) ).
fof(f70,plain,
! [X1,X2,X0] :
( convergent_lines(X0,X1)
| convergent_lines(X2,X1)
| ~ convergent_lines(X2,X0) ),
inference(flattening,[],[f69]) ).
fof(f69,plain,
! [X2,X0,X1] :
( convergent_lines(X2,X1)
| convergent_lines(X0,X1)
| ~ convergent_lines(X2,X0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,plain,
! [X2,X0,X1] :
( convergent_lines(X2,X0)
=> ( convergent_lines(X2,X1)
| convergent_lines(X0,X1) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X1,X2,X0] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X1,X2)
| convergent_lines(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GEO226+3 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n003.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 21:31:52 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.51 % (3078)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52 % (3078)First to succeed.
% 0.20/0.52 % (3078)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 % (3078)------------------------------
% 0.20/0.52 % (3078)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (3078)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (3078)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (3078)Memory used [KB]: 5500
% 0.20/0.52 % (3078)Time elapsed: 0.116 s
% 0.20/0.52 % (3078)Instructions burned: 5 (million)
% 0.20/0.52 % (3078)------------------------------
% 0.20/0.52 % (3078)------------------------------
% 0.20/0.52 % (3070)Success in time 0.164 s
%------------------------------------------------------------------------------