TSTP Solution File: GEO183+3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO183+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 : n017.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 0.18s 0.51s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of formulae : 55 ( 6 unt; 0 def)
% Number of atoms : 141 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 139 ( 53 ~; 43 |; 27 &)
% ( 6 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 86 ( 70 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f229,plain,
$false,
inference(avatar_sat_refutation,[],[f194,f219,f228]) ).
fof(f228,plain,
spl5_2,
inference(avatar_contradiction_clause,[],[f227]) ).
fof(f227,plain,
( $false
| spl5_2 ),
inference(subsumption_resolution,[],[f225,f164]) ).
fof(f164,plain,
distinct_points(sK0,sK3),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
( distinct_points(sK0,sK3)
& equal_lines(sK1,line_connecting(sK0,sK3))
& ( ~ incident_point_and_line(sK3,sK1)
| ~ incident_point_and_line(sK0,sK1) )
& convergent_lines(sK1,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f123,f124]) ).
fof(f124,plain,
( ? [X0,X1,X2,X3] :
( distinct_points(X0,X3)
& equal_lines(X1,line_connecting(X0,X3))
& ( ~ incident_point_and_line(X3,X1)
| ~ incident_point_and_line(X0,X1) )
& convergent_lines(X1,X2) )
=> ( distinct_points(sK0,sK3)
& equal_lines(sK1,line_connecting(sK0,sK3))
& ( ~ incident_point_and_line(sK3,sK1)
| ~ incident_point_and_line(sK0,sK1) )
& convergent_lines(sK1,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f123,plain,
? [X0,X1,X2,X3] :
( distinct_points(X0,X3)
& equal_lines(X1,line_connecting(X0,X3))
& ( ~ incident_point_and_line(X3,X1)
| ~ incident_point_and_line(X0,X1) )
& convergent_lines(X1,X2) ),
inference(rectify,[],[f104]) ).
fof(f104,plain,
? [X0,X2,X1,X3] :
( distinct_points(X0,X3)
& equal_lines(X2,line_connecting(X0,X3))
& ( ~ incident_point_and_line(X3,X2)
| ~ incident_point_and_line(X0,X2) )
& convergent_lines(X2,X1) ),
inference(flattening,[],[f103]) ).
fof(f103,plain,
? [X1,X0,X3,X2] :
( ( ~ incident_point_and_line(X3,X2)
| ~ incident_point_and_line(X0,X2) )
& equal_lines(X2,line_connecting(X0,X3))
& convergent_lines(X2,X1)
& distinct_points(X0,X3) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,plain,
~ ! [X1,X0,X3,X2] :
( ( equal_lines(X2,line_connecting(X0,X3))
& convergent_lines(X2,X1)
& distinct_points(X0,X3) )
=> ( incident_point_and_line(X0,X2)
& incident_point_and_line(X3,X2) ) ),
inference(rectify,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X0,X4,X3,X1] :
( ( convergent_lines(X3,X4)
& equal_lines(X3,line_connecting(X0,X1))
& distinct_points(X0,X1) )
=> ( incident_point_and_line(X1,X3)
& incident_point_and_line(X0,X3) ) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X0,X4,X3,X1] :
( ( convergent_lines(X3,X4)
& equal_lines(X3,line_connecting(X0,X1))
& distinct_points(X0,X1) )
=> ( incident_point_and_line(X1,X3)
& incident_point_and_line(X0,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f225,plain,
( ~ distinct_points(sK0,sK3)
| spl5_2 ),
inference(resolution,[],[f222,f160]) ).
fof(f160,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X1,X0))
| ~ distinct_points(X1,X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0,X1] :
( ~ distinct_points(X1,X0)
| ~ apart_point_and_line(X0,line_connecting(X1,X0)) ),
inference(rectify,[],[f105]) ).
fof(f105,plain,
! [X1,X0] :
( ~ distinct_points(X0,X1)
| ~ apart_point_and_line(X1,line_connecting(X0,X1)) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X1,X0] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X1,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ci2) ).
fof(f222,plain,
( apart_point_and_line(sK3,line_connecting(sK0,sK3))
| spl5_2 ),
inference(resolution,[],[f221,f199]) ).
fof(f199,plain,
~ distinct_lines(sK1,line_connecting(sK0,sK3)),
inference(resolution,[],[f169,f163]) ).
fof(f163,plain,
equal_lines(sK1,line_connecting(sK0,sK3)),
inference(cnf_transformation,[],[f125]) ).
fof(f169,plain,
! [X0,X1] :
( ~ equal_lines(X0,X1)
| ~ distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0,X1] :
( ~ equal_lines(X0,X1)
| ~ distinct_lines(X0,X1) ),
inference(rectify,[],[f86]) ).
fof(f86,plain,
! [X1,X0] :
( ~ equal_lines(X1,X0)
| ~ distinct_lines(X1,X0) ),
inference(ennf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0,X1] :
( equal_lines(X1,X0)
=> ~ distinct_lines(X1,X0) ),
inference(unused_predicate_definition_removal,[],[f60]) ).
fof(f60,plain,
! [X0,X1] :
( equal_lines(X1,X0)
<=> ~ distinct_lines(X1,X0) ),
inference(rectify,[],[f32]) ).
fof(f32,axiom,
! [X1,X0] :
( equal_lines(X0,X1)
<=> ~ distinct_lines(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f221,plain,
( ! [X0] :
( distinct_lines(sK1,X0)
| apart_point_and_line(sK3,X0) )
| spl5_2 ),
inference(resolution,[],[f220,f138]) ).
fof(f138,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X1,X0)
| distinct_lines(X0,X2)
| apart_point_and_line(X1,X2) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0,X1,X2] :
( apart_point_and_line(X1,X2)
| ~ apart_point_and_line(X1,X0)
| distinct_lines(X0,X2) ),
inference(rectify,[],[f107]) ).
fof(f107,plain,
! [X2,X1,X0] :
( apart_point_and_line(X1,X0)
| ~ apart_point_and_line(X1,X2)
| distinct_lines(X2,X0) ),
inference(flattening,[],[f106]) ).
fof(f106,plain,
! [X0,X1,X2] :
( distinct_lines(X2,X0)
| apart_point_and_line(X1,X0)
| ~ apart_point_and_line(X1,X2) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1,X2] :
( apart_point_and_line(X1,X2)
=> ( distinct_lines(X2,X0)
| apart_point_and_line(X1,X0) ) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X2,X0,X1] :
( apart_point_and_line(X0,X1)
=> ( distinct_lines(X1,X2)
| apart_point_and_line(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq2) ).
fof(f220,plain,
( apart_point_and_line(sK3,sK1)
| spl5_2 ),
inference(resolution,[],[f193,f168]) ).
fof(f168,plain,
! [X0,X1] :
( incident_point_and_line(X1,X0)
| apart_point_and_line(X1,X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( apart_point_and_line(X1,X0)
| incident_point_and_line(X1,X0) ),
inference(ennf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,X0)
=> incident_point_and_line(X1,X0) ),
inference(unused_predicate_definition_removal,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( 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(f193,plain,
( ~ incident_point_and_line(sK3,sK1)
| spl5_2 ),
inference(avatar_component_clause,[],[f191]) ).
fof(f191,plain,
( spl5_2
<=> incident_point_and_line(sK3,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).
fof(f219,plain,
spl5_1,
inference(avatar_contradiction_clause,[],[f218]) ).
fof(f218,plain,
( $false
| spl5_1 ),
inference(subsumption_resolution,[],[f216,f164]) ).
fof(f216,plain,
( ~ distinct_points(sK0,sK3)
| spl5_1 ),
inference(resolution,[],[f213,f145]) ).
fof(f145,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X1,X0))
| ~ distinct_points(X1,X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0,X1] :
( ~ distinct_points(X1,X0)
| ~ apart_point_and_line(X1,line_connecting(X1,X0)) ),
inference(rectify,[],[f100]) ).
fof(f100,plain,
! [X1,X0] :
( ~ distinct_points(X0,X1)
| ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ci1) ).
fof(f213,plain,
( apart_point_and_line(sK0,line_connecting(sK0,sK3))
| spl5_1 ),
inference(resolution,[],[f201,f199]) ).
fof(f201,plain,
( ! [X0] :
( distinct_lines(sK1,X0)
| apart_point_and_line(sK0,X0) )
| spl5_1 ),
inference(resolution,[],[f138,f198]) ).
fof(f198,plain,
( apart_point_and_line(sK0,sK1)
| spl5_1 ),
inference(resolution,[],[f168,f189]) ).
fof(f189,plain,
( ~ incident_point_and_line(sK0,sK1)
| spl5_1 ),
inference(avatar_component_clause,[],[f187]) ).
fof(f187,plain,
( spl5_1
<=> incident_point_and_line(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
fof(f194,plain,
( ~ spl5_1
| ~ spl5_2 ),
inference(avatar_split_clause,[],[f162,f191,f187]) ).
fof(f162,plain,
( ~ incident_point_and_line(sK3,sK1)
| ~ incident_point_and_line(sK0,sK1) ),
inference(cnf_transformation,[],[f125]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GEO183+3 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 20:49:20 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.49 % (27093)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.18/0.49 % (27088)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)
% 0.18/0.50 % (27102)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.50 TRYING [1]
% 0.18/0.50 % (27111)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.18/0.51 % (27093)First to succeed.
% 0.18/0.51 TRYING [2]
% 0.18/0.51 TRYING [3]
% 0.18/0.51 % (27093)Refutation found. Thanks to Tanya!
% 0.18/0.51 % SZS status Theorem for theBenchmark
% 0.18/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.51 % (27093)------------------------------
% 0.18/0.51 % (27093)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (27093)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (27093)Termination reason: Refutation
% 0.18/0.51
% 0.18/0.51 % (27093)Memory used [KB]: 5500
% 0.18/0.51 % (27093)Time elapsed: 0.111 s
% 0.18/0.51 % (27093)Instructions burned: 4 (million)
% 0.18/0.51 % (27093)------------------------------
% 0.18/0.51 % (27093)------------------------------
% 0.18/0.51 % (27085)Success in time 0.171 s
%------------------------------------------------------------------------------