TSTP Solution File: GEO225+3 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO225+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_uns --cores 0 -t %d %s
% Computer : n009.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 16:09:22 EDT 2022
% Result : Theorem 0.18s 0.50s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 7
% Syntax : Number of formulae : 37 ( 6 unt; 0 def)
% Number of atoms : 112 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 114 ( 39 ~; 29 |; 33 &)
% ( 1 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 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 : 70 ( 59 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f193,plain,
$false,
inference(resolution,[],[f189,f144]) ).
fof(f144,plain,
! [X0] : ~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : ~ distinct_points(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart1) ).
fof(f189,plain,
distinct_points(sK0,sK0),
inference(resolution,[],[f188,f183]) ).
fof(f183,plain,
~ distinct_points(sK1,sK0),
inference(duplicate_literal_removal,[],[f182]) ).
fof(f182,plain,
( ~ distinct_points(sK1,sK0)
| ~ distinct_points(sK1,sK0) ),
inference(resolution,[],[f150,f180]) ).
fof(f180,plain,
! [X2] :
( apart_point_and_line(sK0,line_connecting(sK1,X2))
| ~ distinct_points(sK1,X2) ),
inference(resolution,[],[f177,f130]) ).
fof(f130,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0,X1] :
( ~ distinct_points(X0,X1)
| ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X1,X0] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ci1) ).
fof(f177,plain,
! [X0] :
( apart_point_and_line(sK1,X0)
| apart_point_and_line(sK0,X0) ),
inference(resolution,[],[f176,f162]) ).
fof(f162,plain,
! [X0,X1] :
( incident_point_and_line(X1,X0)
| apart_point_and_line(X1,X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0,X1] :
( apart_point_and_line(X1,X0)
| incident_point_and_line(X1,X0) ),
inference(rectify,[],[f78]) ).
fof(f78,plain,
! [X1,X0] :
( apart_point_and_line(X0,X1)
| incident_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,X1)
=> incident_point_and_line(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f34]) ).
fof(f34,axiom,
! [X0,X1] :
( incident_point_and_line(X0,X1)
<=> ~ apart_point_and_line(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a4) ).
fof(f176,plain,
! [X0] :
( ~ incident_point_and_line(sK0,X0)
| apart_point_and_line(sK1,X0) ),
inference(resolution,[],[f162,f172]) ).
fof(f172,plain,
! [X2] :
( ~ incident_point_and_line(sK1,X2)
| ~ incident_point_and_line(sK0,X2) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
( distinct_points(sK0,sK1)
& point(sK1)
& ! [X2] :
( ( ~ incident_point_and_line(sK1,X2)
| ~ incident_point_and_line(sK0,X2) )
& line(X2) )
& point(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f126,f127]) ).
fof(f127,plain,
( ? [X0,X1] :
( distinct_points(X0,X1)
& point(X1)
& ! [X2] :
( ( ~ incident_point_and_line(X1,X2)
| ~ incident_point_and_line(X0,X2) )
& line(X2) )
& point(X0) )
=> ( distinct_points(sK0,sK1)
& point(sK1)
& ! [X2] :
( ( ~ incident_point_and_line(sK1,X2)
| ~ incident_point_and_line(sK0,X2) )
& line(X2) )
& point(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f126,plain,
? [X0,X1] :
( distinct_points(X0,X1)
& point(X1)
& ! [X2] :
( ( ~ incident_point_and_line(X1,X2)
| ~ incident_point_and_line(X0,X2) )
& line(X2) )
& point(X0) ),
inference(rectify,[],[f65]) ).
fof(f65,plain,
? [X1,X0] :
( distinct_points(X1,X0)
& point(X0)
& ! [X2] :
( ( ~ incident_point_and_line(X0,X2)
| ~ incident_point_and_line(X1,X2) )
& line(X2) )
& point(X1) ),
inference(flattening,[],[f64]) ).
fof(f64,plain,
? [X1,X0] :
( ! [X2] :
( ( ~ incident_point_and_line(X0,X2)
| ~ incident_point_and_line(X1,X2) )
& line(X2) )
& point(X0)
& distinct_points(X1,X0)
& point(X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
~ ! [X1,X0] :
( ( point(X0)
& distinct_points(X1,X0)
& point(X1) )
=> ? [X2] :
( line(X2)
=> ( incident_point_and_line(X0,X2)
& incident_point_and_line(X1,X2) ) ) ),
inference(rectify,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X9,X8] :
( ( point(X8)
& point(X9)
& distinct_points(X8,X9) )
=> ? [X0] :
( line(X0)
=> ( incident_point_and_line(X9,X0)
& incident_point_and_line(X8,X0) ) ) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X9,X8] :
( ( point(X8)
& point(X9)
& distinct_points(X8,X9) )
=> ? [X0] :
( line(X0)
=> ( incident_point_and_line(X9,X0)
& incident_point_and_line(X8,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f150,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0,X1] :
( ~ distinct_points(X0,X1)
| ~ apart_point_and_line(X1,line_connecting(X0,X1)) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X1,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ci2) ).
fof(f188,plain,
! [X0] :
( distinct_points(sK1,X0)
| distinct_points(sK0,X0) ),
inference(resolution,[],[f161,f174]) ).
fof(f174,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f128]) ).
fof(f161,plain,
! [X2,X0,X1] :
( ~ distinct_points(X1,X2)
| distinct_points(X1,X0)
| distinct_points(X2,X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0,X1,X2] :
( ~ distinct_points(X1,X2)
| distinct_points(X1,X0)
| distinct_points(X2,X0) ),
inference(rectify,[],[f88]) ).
fof(f88,plain,
! [X0,X2,X1] :
( ~ distinct_points(X2,X1)
| distinct_points(X2,X0)
| distinct_points(X1,X0) ),
inference(flattening,[],[f87]) ).
fof(f87,plain,
! [X0,X2,X1] :
( distinct_points(X2,X0)
| distinct_points(X1,X0)
| ~ distinct_points(X2,X1) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X2,X1] :
( distinct_points(X2,X1)
=> ( distinct_points(X2,X0)
| distinct_points(X1,X0) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X2,X1,X0] :
( distinct_points(X0,X1)
=> ( distinct_points(X1,X2)
| distinct_points(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEO225+3 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33 % Computer : n009.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 29 21:28:50 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.18/0.49 % (9619)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.18/0.49 % (9611)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.49 % (9619)First to succeed.
% 0.18/0.50 % (9611)Instruction limit reached!
% 0.18/0.50 % (9611)------------------------------
% 0.18/0.50 % (9611)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (9611)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (9611)Termination reason: Unknown
% 0.18/0.50 % (9611)Termination phase: Saturation
% 0.18/0.50
% 0.18/0.50 % (9611)Memory used [KB]: 6012
% 0.18/0.50 % (9611)Time elapsed: 0.005 s
% 0.18/0.50 % (9611)Instructions burned: 3 (million)
% 0.18/0.50 % (9611)------------------------------
% 0.18/0.50 % (9611)------------------------------
% 0.18/0.50 % (9619)Refutation found. Thanks to Tanya!
% 0.18/0.50 % SZS status Theorem for theBenchmark
% 0.18/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.50 % (9619)------------------------------
% 0.18/0.50 % (9619)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (9619)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (9619)Termination reason: Refutation
% 0.18/0.50
% 0.18/0.50 % (9619)Memory used [KB]: 6012
% 0.18/0.50 % (9619)Time elapsed: 0.050 s
% 0.18/0.50 % (9619)Instructions burned: 3 (million)
% 0.18/0.50 % (9619)------------------------------
% 0.18/0.50 % (9619)------------------------------
% 0.18/0.50 % (9596)Success in time 0.159 s
%------------------------------------------------------------------------------