TSTP Solution File: GEO183+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO183+1 : 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 : n012.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 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 48 ( 6 unt; 0 def)
% Number of atoms : 116 ( 1 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 118 ( 50 ~; 40 |; 15 &)
% ( 5 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 6 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 51 ( 43 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f107,plain,
$false,
inference(avatar_sat_refutation,[],[f74,f84,f86,f92,f99,f106]) ).
fof(f106,plain,
( ~ spl5_1
| spl5_5 ),
inference(avatar_contradiction_clause,[],[f105]) ).
fof(f105,plain,
( $false
| ~ spl5_1
| spl5_5 ),
inference(resolution,[],[f101,f65]) ).
fof(f65,plain,
~ distinct_lines(sK2,sF4),
inference(definition_folding,[],[f58,f64]) ).
fof(f64,plain,
sF4 = line_connecting(sK3,sK0),
introduced(function_definition,[]) ).
fof(f58,plain,
~ distinct_lines(sK2,line_connecting(sK3,sK0)),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
? [X2,X0,X1,X3] :
( convergent_lines(X1,X0)
& ( apart_point_and_line(X3,X1)
| apart_point_and_line(X2,X1) )
& ~ distinct_lines(X1,line_connecting(X3,X2))
& distinct_points(X3,X2) ),
inference(flattening,[],[f36]) ).
fof(f36,plain,
? [X3,X0,X1,X2] :
( ( apart_point_and_line(X3,X1)
| apart_point_and_line(X2,X1) )
& distinct_points(X3,X2)
& convergent_lines(X1,X0)
& ~ distinct_lines(X1,line_connecting(X3,X2)) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
~ ! [X3,X0,X1,X2] :
( ( distinct_points(X3,X2)
& convergent_lines(X1,X0)
& ~ distinct_lines(X1,line_connecting(X3,X2)) )
=> ( ~ apart_point_and_line(X3,X1)
& ~ apart_point_and_line(X2,X1) ) ),
inference(rectify,[],[f16]) ).
fof(f16,negated_conjecture,
~ ! [X4,X3,X1,X0] :
( ( ~ distinct_lines(X3,line_connecting(X0,X1))
& distinct_points(X0,X1)
& convergent_lines(X3,X4) )
=> ( ~ apart_point_and_line(X1,X3)
& ~ apart_point_and_line(X0,X3) ) ),
inference(negated_conjecture,[],[f15]) ).
fof(f15,conjecture,
! [X4,X3,X1,X0] :
( ( ~ distinct_lines(X3,line_connecting(X0,X1))
& distinct_points(X0,X1)
& convergent_lines(X3,X4) )
=> ( ~ apart_point_and_line(X1,X3)
& ~ apart_point_and_line(X0,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f101,plain,
( distinct_lines(sK2,sF4)
| ~ spl5_1
| spl5_5 ),
inference(resolution,[],[f100,f91]) ).
fof(f91,plain,
( ~ apart_point_and_line(sK0,sF4)
| spl5_5 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f89,plain,
( spl5_5
<=> apart_point_and_line(sK0,sF4) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_5])]) ).
fof(f100,plain,
( ! [X0] :
( apart_point_and_line(sK0,X0)
| distinct_lines(sK2,X0) )
| ~ spl5_1 ),
inference(resolution,[],[f69,f46]) ).
fof(f46,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X1,X0)
| apart_point_and_line(X1,X2)
| distinct_lines(X0,X2) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X2,X1] :
( apart_point_and_line(X1,X2)
| distinct_lines(X0,X2)
| ~ apart_point_and_line(X1,X0) ),
inference(flattening,[],[f38]) ).
fof(f38,plain,
! [X1,X0,X2] :
( distinct_lines(X0,X2)
| apart_point_and_line(X1,X2)
| ~ apart_point_and_line(X1,X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
! [X1,X0,X2] :
( apart_point_and_line(X1,X0)
=> ( distinct_lines(X0,X2)
| apart_point_and_line(X1,X2) ) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X1,X0,X2] :
( apart_point_and_line(X0,X1)
=> ( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq2) ).
fof(f69,plain,
( apart_point_and_line(sK0,sK2)
| ~ spl5_1 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f67,plain,
( spl5_1
<=> apart_point_and_line(sK0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
fof(f99,plain,
( ~ spl5_2
| spl5_4 ),
inference(avatar_contradiction_clause,[],[f98]) ).
fof(f98,plain,
( $false
| ~ spl5_2
| spl5_4 ),
inference(resolution,[],[f94,f65]) ).
fof(f94,plain,
( distinct_lines(sK2,sF4)
| ~ spl5_2
| spl5_4 ),
inference(resolution,[],[f93,f83]) ).
fof(f83,plain,
( ~ apart_point_and_line(sK3,sF4)
| spl5_4 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f81,plain,
( spl5_4
<=> apart_point_and_line(sK3,sF4) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_4])]) ).
fof(f93,plain,
( ! [X0] :
( apart_point_and_line(sK3,X0)
| distinct_lines(sK2,X0) )
| ~ spl5_2 ),
inference(resolution,[],[f46,f73]) ).
fof(f73,plain,
( apart_point_and_line(sK3,sK2)
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f71,plain,
( spl5_2
<=> apart_point_and_line(sK3,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).
fof(f92,plain,
( ~ spl5_5
| ~ spl5_3 ),
inference(avatar_split_clause,[],[f87,f77,f89]) ).
fof(f77,plain,
( spl5_3
<=> distinct_points(sK3,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_3])]) ).
fof(f87,plain,
( ~ distinct_points(sK3,sK0)
| ~ apart_point_and_line(sK0,sF4) ),
inference(superposition,[],[f49,f64]) ).
fof(f49,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X1,X0))
| ~ distinct_points(X1,X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X1] :
( ~ distinct_points(X1,X0)
| ~ apart_point_and_line(X0,line_connecting(X1,X0)) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
! [X1,X0] :
( distinct_points(X1,X0)
=> ~ apart_point_and_line(X0,line_connecting(X1,X0)) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X1,X0] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X1,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ci2) ).
fof(f86,plain,
spl5_3,
inference(avatar_contradiction_clause,[],[f85]) ).
fof(f85,plain,
( $false
| spl5_3 ),
inference(resolution,[],[f79,f57]) ).
fof(f57,plain,
distinct_points(sK3,sK0),
inference(cnf_transformation,[],[f37]) ).
fof(f79,plain,
( ~ distinct_points(sK3,sK0)
| spl5_3 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f84,plain,
( ~ spl5_3
| ~ spl5_4 ),
inference(avatar_split_clause,[],[f75,f81,f77]) ).
fof(f75,plain,
( ~ apart_point_and_line(sK3,sF4)
| ~ distinct_points(sK3,sK0) ),
inference(superposition,[],[f47,f64]) ).
fof(f47,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(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(f74,plain,
( spl5_1
| spl5_2 ),
inference(avatar_split_clause,[],[f56,f71,f67]) ).
fof(f56,plain,
( apart_point_and_line(sK3,sK2)
| apart_point_and_line(sK0,sK2) ),
inference(cnf_transformation,[],[f37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO183+1 : TPTP v8.1.0. Released v3.3.0.
% 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
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 21:24:51 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (16032)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.50 % (16024)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)
% 0.19/0.50 % (16016)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)
% 0.19/0.50 % (16024)First to succeed.
% 0.19/0.50 % (16025)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.50 % (16026)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51 % (16024)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Theorem for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (16024)------------------------------
% 0.19/0.51 % (16024)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (16024)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (16024)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (16024)Memory used [KB]: 5500
% 0.19/0.51 % (16024)Time elapsed: 0.097 s
% 0.19/0.51 % (16024)Instructions burned: 3 (million)
% 0.19/0.51 % (16024)------------------------------
% 0.19/0.51 % (16024)------------------------------
% 0.19/0.51 % (16012)Success in time 0.162 s
%------------------------------------------------------------------------------