TSTP Solution File: GEO199+3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO199+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 : 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 16:12:14 EDT 2022
% Result : Theorem 0.21s 0.50s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 10
% Syntax : Number of formulae : 48 ( 17 unt; 0 def)
% Number of atoms : 122 ( 1 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 107 ( 33 ~; 28 |; 34 &)
% ( 2 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 97 ( 85 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f290,plain,
$false,
inference(resolution,[],[f286,f138]) ).
fof(f138,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(f286,plain,
! [X0] : convergent_lines(sK0,X0),
inference(resolution,[],[f281,f150]) ).
fof(f150,plain,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X0,X1),X0),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X0,X1),X0),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X1,X0] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cp1) ).
fof(f281,plain,
! [X2,X1] :
( convergent_lines(parallel_through_point(X2,sF4),X1)
| convergent_lines(sK0,X1) ),
inference(resolution,[],[f270,f130]) ).
fof(f130,plain,
! [X0,X1] :
( ~ distinct_lines(X1,X0)
| convergent_lines(X1,X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( convergent_lines(X1,X0)
| ~ distinct_lines(X1,X0) ),
inference(ennf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0,X1] :
( distinct_lines(X1,X0)
=> convergent_lines(X1,X0) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X1,X0] :
( distinct_lines(X0,X1)
=> convergent_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).
fof(f270,plain,
! [X0,X1] :
( distinct_lines(parallel_through_point(X0,sF4),X1)
| convergent_lines(sK0,X1) ),
inference(resolution,[],[f268,f140]) ).
fof(f140,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X2,X0)
| distinct_lines(X0,X1)
| convergent_lines(X2,X1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0,X1,X2] :
( distinct_lines(X0,X1)
| convergent_lines(X2,X1)
| ~ convergent_lines(X2,X0) ),
inference(rectify,[],[f97]) ).
fof(f97,plain,
! [X2,X1,X0] :
( distinct_lines(X2,X1)
| convergent_lines(X0,X1)
| ~ convergent_lines(X0,X2) ),
inference(flattening,[],[f96]) ).
fof(f96,plain,
! [X1,X2,X0] :
( convergent_lines(X0,X1)
| distinct_lines(X2,X1)
| ~ convergent_lines(X0,X2) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,plain,
! [X1,X2,X0] :
( convergent_lines(X0,X2)
=> ( convergent_lines(X0,X1)
| distinct_lines(X2,X1) ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X0,X2,X1] :
( convergent_lines(X0,X1)
=> ( distinct_lines(X1,X2)
| convergent_lines(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq3) ).
fof(f268,plain,
! [X0] : convergent_lines(sK0,parallel_through_point(X0,sF4)),
inference(resolution,[],[f266,f130]) ).
fof(f266,plain,
! [X6] : distinct_lines(sK0,parallel_through_point(X6,sF4)),
inference(resolution,[],[f258,f143]) ).
fof(f143,plain,
! [X0,X1] : ~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0,X1] : ~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
inference(rectify,[],[f61]) ).
fof(f61,plain,
! [X1,X0] : ~ apart_point_and_line(X1,parallel_through_point(X0,X1)),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X1,X0] : ~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cp2) ).
fof(f258,plain,
! [X0] :
( apart_point_and_line(sF4,X0)
| distinct_lines(sK0,X0) ),
inference(resolution,[],[f145,f178]) ).
fof(f178,plain,
apart_point_and_line(sF4,sK0),
inference(resolution,[],[f168,f176]) ).
fof(f176,plain,
~ incident_point_and_line(sF4,sK0),
inference(definition_folding,[],[f162,f175]) ).
fof(f175,plain,
sF4 = intersection_point(sK1,sK2),
introduced(function_definition,[]) ).
fof(f162,plain,
~ incident_point_and_line(intersection_point(sK1,sK2),sK0),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
( incident_point_and_line(intersection_point(sK2,sK1),sK0)
& convergent_lines(sK2,sK0)
& ~ incident_point_and_line(intersection_point(sK1,sK2),sK0)
& convergent_lines(sK2,sK1)
& convergent_lines(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f123,f124]) ).
fof(f124,plain,
( ? [X0,X1,X2] :
( incident_point_and_line(intersection_point(X2,X1),X0)
& convergent_lines(X2,X0)
& ~ incident_point_and_line(intersection_point(X1,X2),X0)
& convergent_lines(X2,X1)
& convergent_lines(X0,X1) )
=> ( incident_point_and_line(intersection_point(sK2,sK1),sK0)
& convergent_lines(sK2,sK0)
& ~ incident_point_and_line(intersection_point(sK1,sK2),sK0)
& convergent_lines(sK2,sK1)
& convergent_lines(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f123,plain,
? [X0,X1,X2] :
( incident_point_and_line(intersection_point(X2,X1),X0)
& convergent_lines(X2,X0)
& ~ incident_point_and_line(intersection_point(X1,X2),X0)
& convergent_lines(X2,X1)
& convergent_lines(X0,X1) ),
inference(rectify,[],[f70]) ).
fof(f70,plain,
? [X0,X2,X1] :
( incident_point_and_line(intersection_point(X1,X2),X0)
& convergent_lines(X1,X0)
& ~ incident_point_and_line(intersection_point(X2,X1),X0)
& convergent_lines(X1,X2)
& convergent_lines(X0,X2) ),
inference(flattening,[],[f69]) ).
fof(f69,plain,
? [X2,X0,X1] :
( ~ incident_point_and_line(intersection_point(X2,X1),X0)
& convergent_lines(X1,X2)
& convergent_lines(X0,X2)
& convergent_lines(X1,X0)
& incident_point_and_line(intersection_point(X1,X2),X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,plain,
~ ! [X2,X0,X1] :
( ( convergent_lines(X1,X2)
& convergent_lines(X0,X2)
& convergent_lines(X1,X0)
& incident_point_and_line(intersection_point(X1,X2),X0) )
=> incident_point_and_line(intersection_point(X2,X1),X0) ),
inference(rectify,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X2,X0,X1] :
( ( incident_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X2,X1)
& convergent_lines(X0,X1)
& convergent_lines(X0,X2) )
=> incident_point_and_line(intersection_point(X1,X0),X2) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X2,X0,X1] :
( ( incident_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X2,X1)
& convergent_lines(X0,X1)
& convergent_lines(X0,X2) )
=> incident_point_and_line(intersection_point(X1,X0),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f168,plain,
! [X0,X1] :
( incident_point_and_line(X1,X0)
| apart_point_and_line(X1,X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0,X1] :
( ( incident_point_and_line(X1,X0)
| apart_point_and_line(X1,X0) )
& ( ~ apart_point_and_line(X1,X0)
| ~ incident_point_and_line(X1,X0) ) ),
inference(nnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0,X1] :
( incident_point_and_line(X1,X0)
<=> ~ apart_point_and_line(X1,X0) ),
inference(rectify,[],[f34]) ).
fof(f34,axiom,
! [X1,X0] :
( incident_point_and_line(X0,X1)
<=> ~ apart_point_and_line(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a4) ).
fof(f145,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X2,X1)
| apart_point_and_line(X2,X0)
| distinct_lines(X1,X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0,X1,X2] :
( ~ apart_point_and_line(X2,X1)
| distinct_lines(X1,X0)
| apart_point_and_line(X2,X0) ),
inference(rectify,[],[f76]) ).
fof(f76,plain,
! [X1,X0,X2] :
( ~ apart_point_and_line(X2,X0)
| distinct_lines(X0,X1)
| apart_point_and_line(X2,X1) ),
inference(flattening,[],[f75]) ).
fof(f75,plain,
! [X1,X0,X2] :
( apart_point_and_line(X2,X1)
| distinct_lines(X0,X1)
| ~ apart_point_and_line(X2,X0) ),
inference(ennf_transformation,[],[f60]) ).
fof(f60,plain,
! [X1,X0,X2] :
( apart_point_and_line(X2,X0)
=> ( apart_point_and_line(X2,X1)
| distinct_lines(X0,X1) ) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X1,X2,X0] :
( apart_point_and_line(X0,X1)
=> ( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GEO199+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.14 % 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 : n014.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 21:31:33 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.46 % (30960)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.21/0.47 % (30972)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.47 TRYING [1]
% 0.21/0.47 % (30988)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.48 TRYING [2]
% 0.21/0.48 TRYING [3]
% 0.21/0.49 % (30972)First to succeed.
% 0.21/0.49 TRYING [4]
% 0.21/0.50 % (30981)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.50 % (30972)Refutation found. Thanks to Tanya!
% 0.21/0.50 % SZS status Theorem for theBenchmark
% 0.21/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.50 % (30972)------------------------------
% 0.21/0.50 % (30972)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50 % (30972)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50 % (30972)Termination reason: Refutation
% 0.21/0.50
% 0.21/0.50 % (30972)Memory used [KB]: 5628
% 0.21/0.50 % (30972)Time elapsed: 0.098 s
% 0.21/0.50 % (30972)Instructions burned: 8 (million)
% 0.21/0.50 % (30972)------------------------------
% 0.21/0.50 % (30972)------------------------------
% 0.21/0.50 % (30959)Success in time 0.143 s
%------------------------------------------------------------------------------