TSTP Solution File: GEO184+3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO184+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 : n002.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 : 14
% Number of leaves : 10
% Syntax : Number of formulae : 56 ( 12 unt; 0 def)
% Number of atoms : 161 ( 1 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 162 ( 57 ~; 55 |; 36 &)
% ( 5 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 84 ( 68 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f285,plain,
$false,
inference(avatar_sat_refutation,[],[f274,f279,f284]) ).
fof(f284,plain,
~ spl5_6,
inference(avatar_contradiction_clause,[],[f283]) ).
fof(f283,plain,
( $false
| ~ spl5_6 ),
inference(subsumption_resolution,[],[f282,f141]) ).
fof(f141,plain,
incident_point_and_line(sK3,sK0),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
( incident_point_and_line(sK1,sK0)
& ~ equal_lines(sK0,line_connecting(sK1,sK3))
& incident_point_and_line(sK3,sK0)
& convergent_lines(sK0,sK2)
& distinct_points(sK1,sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f107,f108]) ).
fof(f108,plain,
( ? [X0,X1,X2,X3] :
( incident_point_and_line(X1,X0)
& ~ equal_lines(X0,line_connecting(X1,X3))
& incident_point_and_line(X3,X0)
& convergent_lines(X0,X2)
& distinct_points(X1,X3) )
=> ( incident_point_and_line(sK1,sK0)
& ~ equal_lines(sK0,line_connecting(sK1,sK3))
& incident_point_and_line(sK3,sK0)
& convergent_lines(sK0,sK2)
& distinct_points(sK1,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f107,plain,
? [X0,X1,X2,X3] :
( incident_point_and_line(X1,X0)
& ~ equal_lines(X0,line_connecting(X1,X3))
& incident_point_and_line(X3,X0)
& convergent_lines(X0,X2)
& distinct_points(X1,X3) ),
inference(rectify,[],[f102]) ).
fof(f102,plain,
? [X2,X1,X0,X3] :
( incident_point_and_line(X1,X2)
& ~ equal_lines(X2,line_connecting(X1,X3))
& incident_point_and_line(X3,X2)
& convergent_lines(X2,X0)
& distinct_points(X1,X3) ),
inference(flattening,[],[f101]) ).
fof(f101,plain,
? [X3,X2,X1,X0] :
( ~ equal_lines(X2,line_connecting(X1,X3))
& incident_point_and_line(X3,X2)
& convergent_lines(X2,X0)
& distinct_points(X1,X3)
& incident_point_and_line(X1,X2) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,plain,
~ ! [X3,X2,X1,X0] :
( ( incident_point_and_line(X3,X2)
& convergent_lines(X2,X0)
& distinct_points(X1,X3)
& incident_point_and_line(X1,X2) )
=> equal_lines(X2,line_connecting(X1,X3)) ),
inference(rectify,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X4,X0,X3,X1] :
( ( incident_point_and_line(X0,X3)
& convergent_lines(X3,X4)
& incident_point_and_line(X1,X3)
& distinct_points(X0,X1) )
=> equal_lines(X3,line_connecting(X0,X1)) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X4,X0,X3,X1] :
( ( incident_point_and_line(X0,X3)
& convergent_lines(X3,X4)
& incident_point_and_line(X1,X3)
& distinct_points(X0,X1) )
=> equal_lines(X3,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f282,plain,
( ~ incident_point_and_line(sK3,sK0)
| ~ spl5_6 ),
inference(resolution,[],[f273,f174]) ).
fof(f174,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,X1)
| ~ incident_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,X1)
| ~ incident_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0,X1] :
( incident_point_and_line(X0,X1)
=> ~ apart_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/sandbox2/benchmark/theBenchmark.p',a4) ).
fof(f273,plain,
( apart_point_and_line(sK3,sK0)
| ~ spl5_6 ),
inference(avatar_component_clause,[],[f271]) ).
fof(f271,plain,
( spl5_6
<=> apart_point_and_line(sK3,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_6])]) ).
fof(f279,plain,
~ spl5_5,
inference(avatar_contradiction_clause,[],[f278]) ).
fof(f278,plain,
( $false
| ~ spl5_5 ),
inference(subsumption_resolution,[],[f277,f143]) ).
fof(f143,plain,
incident_point_and_line(sK1,sK0),
inference(cnf_transformation,[],[f109]) ).
fof(f277,plain,
( ~ incident_point_and_line(sK1,sK0)
| ~ spl5_5 ),
inference(resolution,[],[f269,f174]) ).
fof(f269,plain,
( apart_point_and_line(sK1,sK0)
| ~ spl5_5 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f267,plain,
( spl5_5
<=> apart_point_and_line(sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_5])]) ).
fof(f274,plain,
( spl5_5
| spl5_6 ),
inference(avatar_split_clause,[],[f265,f271,f267]) ).
fof(f265,plain,
( apart_point_and_line(sK3,sK0)
| apart_point_and_line(sK1,sK0) ),
inference(subsumption_resolution,[],[f264,f186]) ).
fof(f186,plain,
~ apart_point_and_line(sK3,sF4),
inference(subsumption_resolution,[],[f185,f139]) ).
fof(f139,plain,
distinct_points(sK1,sK3),
inference(cnf_transformation,[],[f109]) ).
fof(f185,plain,
( ~ distinct_points(sK1,sK3)
| ~ apart_point_and_line(sK3,sF4) ),
inference(superposition,[],[f145,f176]) ).
fof(f176,plain,
line_connecting(sK1,sK3) = sF4,
introduced(function_definition,[]) ).
fof(f145,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X1,X0))
| ~ distinct_points(X1,X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0,X1] :
( ~ distinct_points(X1,X0)
| ~ apart_point_and_line(X0,line_connecting(X1,X0)) ),
inference(rectify,[],[f67]) ).
fof(f67,plain,
! [X1,X0] :
( ~ 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/sandbox2/benchmark/theBenchmark.p',ci2) ).
fof(f264,plain,
( apart_point_and_line(sK1,sK0)
| apart_point_and_line(sK3,sK0)
| apart_point_and_line(sK3,sF4) ),
inference(subsumption_resolution,[],[f260,f188]) ).
fof(f188,plain,
~ apart_point_and_line(sK1,sF4),
inference(subsumption_resolution,[],[f187,f139]) ).
fof(f187,plain,
( ~ distinct_points(sK1,sK3)
| ~ apart_point_and_line(sK1,sF4) ),
inference(superposition,[],[f155,f176]) ).
fof(f155,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,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/sandbox2/benchmark/theBenchmark.p',ci1) ).
fof(f260,plain,
( apart_point_and_line(sK1,sF4)
| apart_point_and_line(sK3,sK0)
| apart_point_and_line(sK1,sK0)
| apart_point_and_line(sK3,sF4) ),
inference(resolution,[],[f219,f178]) ).
fof(f178,plain,
distinct_lines(sK0,sF4),
inference(resolution,[],[f152,f177]) ).
fof(f177,plain,
~ equal_lines(sK0,sF4),
inference(definition_folding,[],[f142,f176]) ).
fof(f142,plain,
~ equal_lines(sK0,line_connecting(sK1,sK3)),
inference(cnf_transformation,[],[f109]) ).
fof(f152,plain,
! [X0,X1] :
( equal_lines(X1,X0)
| distinct_lines(X1,X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0,X1] :
( ( equal_lines(X1,X0)
| distinct_lines(X1,X0) )
& ( ~ distinct_lines(X1,X0)
| ~ equal_lines(X1,X0) ) ),
inference(nnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
( equal_lines(X1,X0)
<=> ~ distinct_lines(X1,X0) ),
inference(rectify,[],[f32]) ).
fof(f32,axiom,
! [X1,X0] :
( ~ distinct_lines(X0,X1)
<=> equal_lines(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f219,plain,
! [X0,X1] :
( ~ distinct_lines(X0,X1)
| apart_point_and_line(sK3,X0)
| apart_point_and_line(sK1,X1)
| apart_point_and_line(sK3,X1)
| apart_point_and_line(sK1,X0) ),
inference(resolution,[],[f146,f139]) ).
fof(f146,plain,
! [X2,X3,X0,X1] :
( ~ distinct_points(X3,X1)
| ~ distinct_lines(X0,X2)
| apart_point_and_line(X3,X2)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X0)
| apart_point_and_line(X3,X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X3,X2)
| apart_point_and_line(X1,X0)
| apart_point_and_line(X1,X2)
| ~ distinct_lines(X0,X2)
| ~ distinct_points(X3,X1)
| apart_point_and_line(X3,X0) ),
inference(rectify,[],[f98]) ).
fof(f98,plain,
! [X3,X1,X2,X0] :
( apart_point_and_line(X0,X2)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| ~ distinct_lines(X3,X2)
| ~ distinct_points(X0,X1)
| apart_point_and_line(X0,X3) ),
inference(flattening,[],[f97]) ).
fof(f97,plain,
! [X3,X0,X2,X1] :
( apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X3)
| ~ distinct_lines(X3,X2)
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,plain,
! [X3,X0,X2,X1] :
( ( distinct_lines(X3,X2)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X3) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X0,X1,X4,X3] :
( ( distinct_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X1,X3)
| apart_point_and_line(X0,X4)
| apart_point_and_line(X1,X4)
| apart_point_and_line(X0,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cu1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEO184+3 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.13 % 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 : n002.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 21:37:58 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.50 % (9894)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.50 % (9894)First to succeed.
% 0.21/0.50 % (9911)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.21/0.50 % (9902)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.51 % (9893)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.51 % (9894)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 % (9894)------------------------------
% 0.21/0.51 % (9894)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (9894)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51 % (9894)Termination reason: Refutation
% 0.21/0.51
% 0.21/0.51 % (9894)Memory used [KB]: 5500
% 0.21/0.51 % (9894)Time elapsed: 0.098 s
% 0.21/0.51 % (9894)Instructions burned: 8 (million)
% 0.21/0.51 % (9894)------------------------------
% 0.21/0.51 % (9894)------------------------------
% 0.21/0.51 % (9885)Success in time 0.154 s
%------------------------------------------------------------------------------