TSTP Solution File: GEO185+3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO185+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 : n028.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 16:12:09 EDT 2022
% Result : Theorem 0.21s 0.51s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 7
% Syntax : Number of formulae : 47 ( 5 unt; 0 def)
% Number of atoms : 128 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 139 ( 58 ~; 37 |; 29 &)
% ( 4 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 87 ( 71 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f214,plain,
$false,
inference(resolution,[],[f213,f168]) ).
fof(f168,plain,
convergent_lines(sK1,sK0),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
( distinct_points(sK3,sK2)
& ( ~ incident_point_and_line(sK3,sK0)
| ~ incident_point_and_line(sK3,sK1) )
& equal_points(sK3,intersection_point(sK1,sK0))
& convergent_lines(sK1,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f127,f128]) ).
fof(f128,plain,
( ? [X0,X1,X2,X3] :
( distinct_points(X3,X2)
& ( ~ incident_point_and_line(X3,X0)
| ~ incident_point_and_line(X3,X1) )
& equal_points(X3,intersection_point(X1,X0))
& convergent_lines(X1,X0) )
=> ( distinct_points(sK3,sK2)
& ( ~ incident_point_and_line(sK3,sK0)
| ~ incident_point_and_line(sK3,sK1) )
& equal_points(sK3,intersection_point(sK1,sK0))
& convergent_lines(sK1,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f127,plain,
? [X0,X1,X2,X3] :
( distinct_points(X3,X2)
& ( ~ incident_point_and_line(X3,X0)
| ~ incident_point_and_line(X3,X1) )
& equal_points(X3,intersection_point(X1,X0))
& convergent_lines(X1,X0) ),
inference(rectify,[],[f88]) ).
fof(f88,plain,
? [X3,X1,X2,X0] :
( distinct_points(X0,X2)
& ( ~ incident_point_and_line(X0,X3)
| ~ incident_point_and_line(X0,X1) )
& equal_points(X0,intersection_point(X1,X3))
& convergent_lines(X1,X3) ),
inference(flattening,[],[f87]) ).
fof(f87,plain,
? [X3,X1,X2,X0] :
( ( ~ incident_point_and_line(X0,X3)
| ~ incident_point_and_line(X0,X1) )
& equal_points(X0,intersection_point(X1,X3))
& distinct_points(X0,X2)
& convergent_lines(X1,X3) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,plain,
~ ! [X3,X1,X2,X0] :
( ( equal_points(X0,intersection_point(X1,X3))
& distinct_points(X0,X2)
& convergent_lines(X1,X3) )
=> ( incident_point_and_line(X0,X1)
& incident_point_and_line(X0,X3) ) ),
inference(rectify,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X0,X3,X1,X4] :
( ( convergent_lines(X3,X4)
& equal_points(X0,intersection_point(X3,X4))
& distinct_points(X0,X1) )
=> ( incident_point_and_line(X0,X3)
& incident_point_and_line(X0,X4) ) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X0,X3,X1,X4] :
( ( convergent_lines(X3,X4)
& equal_points(X0,intersection_point(X3,X4))
& distinct_points(X0,X1) )
=> ( incident_point_and_line(X0,X3)
& incident_point_and_line(X0,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f213,plain,
~ convergent_lines(sK1,sK0),
inference(duplicate_literal_removal,[],[f212]) ).
fof(f212,plain,
( ~ convergent_lines(sK1,sK0)
| ~ convergent_lines(sK1,sK0) ),
inference(resolution,[],[f211,f205]) ).
fof(f205,plain,
( ~ apart_point_and_line(sK3,sK0)
| ~ convergent_lines(sK1,sK0) ),
inference(resolution,[],[f203,f144]) ).
fof(f144,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(rectify,[],[f73]) ).
fof(f73,plain,
! [X1,X0] :
( ~ apart_point_and_line(intersection_point(X1,X0),X0)
| ~ convergent_lines(X1,X0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,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/sandbox2/benchmark/theBenchmark.p',ci4) ).
fof(f203,plain,
! [X2] :
( apart_point_and_line(intersection_point(sK1,sK0),X2)
| ~ apart_point_and_line(sK3,X2) ),
inference(resolution,[],[f153,f183]) ).
fof(f183,plain,
~ distinct_points(sK3,intersection_point(sK1,sK0)),
inference(resolution,[],[f173,f169]) ).
fof(f169,plain,
equal_points(sK3,intersection_point(sK1,sK0)),
inference(cnf_transformation,[],[f129]) ).
fof(f173,plain,
! [X0,X1] :
( ~ equal_points(X0,X1)
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0,X1] :
( ( ~ distinct_points(X0,X1)
| ~ equal_points(X0,X1) )
& ( equal_points(X0,X1)
| distinct_points(X0,X1) ) ),
inference(rectify,[],[f130]) ).
fof(f130,plain,
! [X1,X0] :
( ( ~ distinct_points(X1,X0)
| ~ equal_points(X1,X0) )
& ( equal_points(X1,X0)
| distinct_points(X1,X0) ) ),
inference(nnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X1,X0] :
( ~ distinct_points(X1,X0)
<=> equal_points(X1,X0) ),
inference(rectify,[],[f31]) ).
fof(f31,axiom,
! [X1,X0] :
( ~ distinct_points(X0,X1)
<=> equal_points(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(f153,plain,
! [X2,X0,X1] :
( distinct_points(X1,X2)
| ~ apart_point_and_line(X1,X0)
| apart_point_and_line(X2,X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0,X1,X2] :
( ~ apart_point_and_line(X1,X0)
| distinct_points(X1,X2)
| apart_point_and_line(X2,X0) ),
inference(rectify,[],[f103]) ).
fof(f103,plain,
! [X2,X1,X0] :
( ~ apart_point_and_line(X1,X2)
| distinct_points(X1,X0)
| apart_point_and_line(X0,X2) ),
inference(flattening,[],[f102]) ).
fof(f102,plain,
! [X0,X1,X2] :
( distinct_points(X1,X0)
| apart_point_and_line(X0,X2)
| ~ apart_point_and_line(X1,X2) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0,X1,X2] :
( apart_point_and_line(X1,X2)
=> ( distinct_points(X1,X0)
| apart_point_and_line(X0,X2) ) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X2,X0,X1] :
( apart_point_and_line(X0,X1)
=> ( distinct_points(X0,X2)
| apart_point_and_line(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq1) ).
fof(f211,plain,
( apart_point_and_line(sK3,sK0)
| ~ convergent_lines(sK1,sK0) ),
inference(resolution,[],[f210,f162]) ).
fof(f162,plain,
! [X0,X1] :
( incident_point_and_line(X0,X1)
| apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0,X1] :
( apart_point_and_line(X0,X1)
| incident_point_and_line(X0,X1) ),
inference(rectify,[],[f95]) ).
fof(f95,plain,
! [X1,X0] :
( apart_point_and_line(X1,X0)
| incident_point_and_line(X1,X0) ),
inference(ennf_transformation,[],[f66]) ).
fof(f66,plain,
! [X1,X0] :
( ~ apart_point_and_line(X1,X0)
=> incident_point_and_line(X1,X0) ),
inference(unused_predicate_definition_removal,[],[f38]) ).
fof(f38,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/sandbox2/benchmark/theBenchmark.p',a4) ).
fof(f210,plain,
( ~ incident_point_and_line(sK3,sK0)
| ~ convergent_lines(sK1,sK0) ),
inference(resolution,[],[f204,f181]) ).
fof(f181,plain,
( apart_point_and_line(sK3,sK1)
| ~ incident_point_and_line(sK3,sK0) ),
inference(resolution,[],[f162,f170]) ).
fof(f170,plain,
( ~ incident_point_and_line(sK3,sK1)
| ~ incident_point_and_line(sK3,sK0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f204,plain,
( ~ apart_point_and_line(sK3,sK1)
| ~ convergent_lines(sK1,sK0) ),
inference(resolution,[],[f203,f138]) ).
fof(f138,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X1,X0),X1)
| ~ convergent_lines(X1,X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X1,X0),X1)
| ~ convergent_lines(X1,X0) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1] :
( 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/sandbox2/benchmark/theBenchmark.p',ci3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO185+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n028.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 29 21:35:03 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.49 % (30803)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.49 % (30812)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.50 % (30820)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.50 % (30803)Refutation not found, incomplete strategy% (30803)------------------------------
% 0.21/0.50 % (30803)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50 % (30803)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50 % (30803)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.50
% 0.21/0.50 % (30803)Memory used [KB]: 5500
% 0.21/0.50 % (30803)Time elapsed: 0.092 s
% 0.21/0.50 % (30803)Instructions burned: 4 (million)
% 0.21/0.50 % (30803)------------------------------
% 0.21/0.50 % (30803)------------------------------
% 0.21/0.51 % (30812)First to succeed.
% 0.21/0.51 TRYING [1]
% 0.21/0.51 TRYING [2]
% 0.21/0.51 TRYING [3]
% 0.21/0.51 % (30812)Refutation found. Thanks to Tanya!
% 0.21/0.51 % SZS status Theorem for theBenchmark
% 0.21/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.51 % (30812)------------------------------
% 0.21/0.51 % (30812)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (30812)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51 % (30812)Termination reason: Refutation
% 0.21/0.51
% 0.21/0.51 % (30812)Memory used [KB]: 1023
% 0.21/0.51 % (30812)Time elapsed: 0.106 s
% 0.21/0.51 % (30812)Instructions burned: 3 (million)
% 0.21/0.51 % (30812)------------------------------
% 0.21/0.51 % (30812)------------------------------
% 0.21/0.51 % (30800)Success in time 0.157 s
%------------------------------------------------------------------------------