TSTP Solution File: GEO174+2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO174+2 : TPTP v8.1.0. Released v3.3.0.
% 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 : n024.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 16:12:06 EDT 2022
% Result : Theorem 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 7
% Syntax : Number of formulae : 44 ( 7 unt; 0 def)
% Number of atoms : 132 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 130 ( 42 ~; 47 |; 29 &)
% ( 2 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 71 ( 55 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f127,plain,
$false,
inference(avatar_sat_refutation,[],[f80,f96,f125]) ).
fof(f125,plain,
~ spl4_1,
inference(avatar_contradiction_clause,[],[f124]) ).
fof(f124,plain,
( $false
| ~ spl4_1 ),
inference(subsumption_resolution,[],[f123,f66]) ).
fof(f66,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(f123,plain,
( distinct_points(sK0,sK0)
| ~ spl4_1 ),
inference(subsumption_resolution,[],[f120,f68]) ).
fof(f68,plain,
distinct_points(sK3,sK0),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
( convergent_lines(sK1,sK2)
& ~ distinct_lines(sK1,line_connecting(sK3,sK0))
& distinct_points(sK3,sK0)
& ( apart_point_and_line(sK3,sK1)
| apart_point_and_line(sK0,sK1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f51,f52]) ).
fof(f52,plain,
( ? [X0,X1,X2,X3] :
( convergent_lines(X1,X2)
& ~ distinct_lines(X1,line_connecting(X3,X0))
& distinct_points(X3,X0)
& ( apart_point_and_line(X3,X1)
| apart_point_and_line(X0,X1) ) )
=> ( convergent_lines(sK1,sK2)
& ~ distinct_lines(sK1,line_connecting(sK3,sK0))
& distinct_points(sK3,sK0)
& ( apart_point_and_line(sK3,sK1)
| apart_point_and_line(sK0,sK1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f51,plain,
? [X0,X1,X2,X3] :
( convergent_lines(X1,X2)
& ~ distinct_lines(X1,line_connecting(X3,X0))
& distinct_points(X3,X0)
& ( apart_point_and_line(X3,X1)
| apart_point_and_line(X0,X1) ) ),
inference(rectify,[],[f27]) ).
fof(f27,plain,
? [X0,X2,X3,X1] :
( convergent_lines(X2,X3)
& ~ distinct_lines(X2,line_connecting(X1,X0))
& distinct_points(X1,X0)
& ( apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X2) ) ),
inference(flattening,[],[f26]) ).
fof(f26,plain,
? [X3,X2,X1,X0] :
( ~ distinct_lines(X2,line_connecting(X1,X0))
& ( apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X2) )
& distinct_points(X1,X0)
& convergent_lines(X2,X3) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
~ ! [X3,X2,X1,X0] :
( ( ( apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X2) )
& distinct_points(X1,X0)
& convergent_lines(X2,X3) )
=> distinct_lines(X2,line_connecting(X1,X0)) ),
inference(rectify,[],[f14]) ).
fof(f14,negated_conjecture,
~ ! [X1,X0,X3,X4] :
( ( convergent_lines(X3,X4)
& ( apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X3) )
& distinct_points(X0,X1) )
=> distinct_lines(X3,line_connecting(X0,X1)) ),
inference(negated_conjecture,[],[f13]) ).
fof(f13,conjecture,
! [X1,X0,X3,X4] :
( ( convergent_lines(X3,X4)
& ( apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X3) )
& distinct_points(X0,X1) )
=> distinct_lines(X3,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f120,plain,
( ~ distinct_points(sK3,sK0)
| distinct_points(sK0,sK0)
| ~ spl4_1 ),
inference(resolution,[],[f115,f55]) ).
fof(f55,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X2,line_connecting(X1,X0))
| distinct_points(X2,X0)
| ~ distinct_points(X1,X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1,X2] :
( ( distinct_points(X2,X1)
& distinct_points(X2,X0) )
| ~ apart_point_and_line(X2,line_connecting(X1,X0))
| ~ distinct_points(X1,X0) ),
inference(rectify,[],[f33]) ).
fof(f33,plain,
! [X0,X2,X1] :
( ( distinct_points(X1,X2)
& distinct_points(X1,X0) )
| ~ apart_point_and_line(X1,line_connecting(X2,X0))
| ~ distinct_points(X2,X0) ),
inference(flattening,[],[f32]) ).
fof(f32,plain,
! [X2,X1,X0] :
( ( distinct_points(X1,X2)
& distinct_points(X1,X0) )
| ~ apart_point_and_line(X1,line_connecting(X2,X0))
| ~ distinct_points(X2,X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,plain,
! [X2,X1,X0] :
( distinct_points(X2,X0)
=> ( apart_point_and_line(X1,line_connecting(X2,X0))
=> ( distinct_points(X1,X2)
& distinct_points(X1,X0) ) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X1,X2,X0] :
( distinct_points(X0,X1)
=> ( apart_point_and_line(X2,line_connecting(X0,X1))
=> ( distinct_points(X2,X1)
& distinct_points(X2,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con1) ).
fof(f115,plain,
( apart_point_and_line(sK0,line_connecting(sK3,sK0))
| ~ spl4_1 ),
inference(resolution,[],[f98,f69]) ).
fof(f69,plain,
~ distinct_lines(sK1,line_connecting(sK3,sK0)),
inference(cnf_transformation,[],[f53]) ).
fof(f98,plain,
( ! [X1] :
( distinct_lines(sK1,X1)
| apart_point_and_line(sK0,X1) )
| ~ spl4_1 ),
inference(resolution,[],[f75,f58]) ).
fof(f58,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X1,X2)
| distinct_lines(X2,X0)
| apart_point_and_line(X1,X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0,X1,X2] :
( distinct_lines(X2,X0)
| ~ apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X0) ),
inference(rectify,[],[f35]) ).
fof(f35,plain,
! [X0,X2,X1] :
( distinct_lines(X1,X0)
| ~ apart_point_and_line(X2,X1)
| apart_point_and_line(X2,X0) ),
inference(flattening,[],[f34]) ).
fof(f34,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X0)
| apart_point_and_line(X2,X0)
| ~ apart_point_and_line(X2,X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0,X1,X2] :
( apart_point_and_line(X2,X1)
=> ( distinct_lines(X1,X0)
| apart_point_and_line(X2,X0) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X2,X1,X0] :
( apart_point_and_line(X0,X1)
=> ( distinct_lines(X1,X2)
| apart_point_and_line(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq2) ).
fof(f75,plain,
( apart_point_and_line(sK0,sK1)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f73,plain,
( spl4_1
<=> apart_point_and_line(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f96,plain,
~ spl4_2,
inference(avatar_contradiction_clause,[],[f95]) ).
fof(f95,plain,
( $false
| ~ spl4_2 ),
inference(subsumption_resolution,[],[f94,f68]) ).
fof(f94,plain,
( ~ distinct_points(sK3,sK0)
| ~ spl4_2 ),
inference(subsumption_resolution,[],[f93,f66]) ).
fof(f93,plain,
( distinct_points(sK3,sK3)
| ~ distinct_points(sK3,sK0)
| ~ spl4_2 ),
inference(resolution,[],[f56,f84]) ).
fof(f84,plain,
( apart_point_and_line(sK3,line_connecting(sK3,sK0))
| ~ spl4_2 ),
inference(resolution,[],[f82,f69]) ).
fof(f82,plain,
( ! [X0] :
( distinct_lines(sK1,X0)
| apart_point_and_line(sK3,X0) )
| ~ spl4_2 ),
inference(resolution,[],[f58,f79]) ).
fof(f79,plain,
( apart_point_and_line(sK3,sK1)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f77,plain,
( spl4_2
<=> apart_point_and_line(sK3,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f56,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X2,line_connecting(X1,X0))
| distinct_points(X2,X1)
| ~ distinct_points(X1,X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f80,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f67,f77,f73]) ).
fof(f67,plain,
( apart_point_and_line(sK3,sK1)
| apart_point_and_line(sK0,sK1) ),
inference(cnf_transformation,[],[f53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO174+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n024.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 21:26:19 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.52 % (32157)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52 % (32171)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.53 % (32154)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.53 % (32154)First to succeed.
% 0.20/0.53 % (32169)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.53 % (32151)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (32168)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.53 % (32154)Refutation found. Thanks to Tanya!
% 0.20/0.53 % SZS status Theorem for theBenchmark
% 0.20/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53 % (32154)------------------------------
% 0.20/0.53 % (32154)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (32154)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (32154)Termination reason: Refutation
% 0.20/0.53
% 0.20/0.53 % (32154)Memory used [KB]: 5373
% 0.20/0.53 % (32154)Time elapsed: 0.124 s
% 0.20/0.53 % (32154)Instructions burned: 4 (million)
% 0.20/0.53 % (32154)------------------------------
% 0.20/0.53 % (32154)------------------------------
% 0.20/0.53 % (32146)Success in time 0.176 s
%------------------------------------------------------------------------------