TSTP Solution File: GEO174+2 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---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_uns --cores 0 -t %d %s
% Computer : n003.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 16:08:56 EDT 2022
% Result : Theorem 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 11
% Syntax : Number of formulae : 62 ( 10 unt; 0 def)
% Number of atoms : 177 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 167 ( 52 ~; 69 |; 29 &)
% ( 5 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 6 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 95 ( 79 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f338,plain,
$false,
inference(avatar_sat_refutation,[],[f80,f235,f281,f298,f324,f335]) ).
fof(f335,plain,
~ spl4_10,
inference(avatar_contradiction_clause,[],[f333]) ).
fof(f333,plain,
( $false
| ~ spl4_10 ),
inference(resolution,[],[f323,f67]) ).
fof(f67,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(f323,plain,
( distinct_points(sK3,sK3)
| ~ spl4_10 ),
inference(avatar_component_clause,[],[f321]) ).
fof(f321,plain,
( spl4_10
<=> distinct_points(sK3,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_10])]) ).
fof(f324,plain,
( spl4_10
| ~ spl4_5
| ~ spl4_1 ),
inference(avatar_split_clause,[],[f317,f73,f192,f321]) ).
fof(f192,plain,
( spl4_5
<=> distinct_points(sK1,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).
fof(f73,plain,
( spl4_1
<=> apart_point_and_line(sK3,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f317,plain,
( ~ distinct_points(sK1,sK3)
| distinct_points(sK3,sK3)
| ~ spl4_1 ),
inference(resolution,[],[f240,f63]) ).
fof(f63,plain,
~ distinct_lines(sK0,line_connecting(sK1,sK3)),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
( ~ distinct_lines(sK0,line_connecting(sK1,sK3))
& ( apart_point_and_line(sK3,sK0)
| apart_point_and_line(sK1,sK0) )
& distinct_points(sK1,sK3)
& convergent_lines(sK0,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f47,f48]) ).
fof(f48,plain,
( ? [X0,X1,X2,X3] :
( ~ distinct_lines(X0,line_connecting(X1,X3))
& ( apart_point_and_line(X3,X0)
| apart_point_and_line(X1,X0) )
& distinct_points(X1,X3)
& convergent_lines(X0,X2) )
=> ( ~ distinct_lines(sK0,line_connecting(sK1,sK3))
& ( apart_point_and_line(sK3,sK0)
| apart_point_and_line(sK1,sK0) )
& distinct_points(sK1,sK3)
& convergent_lines(sK0,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f47,plain,
? [X0,X1,X2,X3] :
( ~ distinct_lines(X0,line_connecting(X1,X3))
& ( apart_point_and_line(X3,X0)
| apart_point_and_line(X1,X0) )
& distinct_points(X1,X3)
& convergent_lines(X0,X2) ),
inference(rectify,[],[f38]) ).
fof(f38,plain,
? [X2,X3,X0,X1] :
( ~ distinct_lines(X2,line_connecting(X3,X1))
& ( apart_point_and_line(X1,X2)
| apart_point_and_line(X3,X2) )
& distinct_points(X3,X1)
& convergent_lines(X2,X0) ),
inference(flattening,[],[f37]) ).
fof(f37,plain,
? [X1,X3,X2,X0] :
( ~ distinct_lines(X2,line_connecting(X3,X1))
& convergent_lines(X2,X0)
& ( apart_point_and_line(X1,X2)
| apart_point_and_line(X3,X2) )
& distinct_points(X3,X1) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
~ ! [X1,X3,X2,X0] :
( ( convergent_lines(X2,X0)
& ( apart_point_and_line(X1,X2)
| apart_point_and_line(X3,X2) )
& distinct_points(X3,X1) )
=> distinct_lines(X2,line_connecting(X3,X1)) ),
inference(rectify,[],[f14]) ).
fof(f14,negated_conjecture,
~ ! [X4,X1,X3,X0] :
( ( ( apart_point_and_line(X1,X3)
| apart_point_and_line(X0,X3) )
& convergent_lines(X3,X4)
& distinct_points(X0,X1) )
=> distinct_lines(X3,line_connecting(X0,X1)) ),
inference(negated_conjecture,[],[f13]) ).
fof(f13,conjecture,
! [X4,X1,X3,X0] :
( ( ( apart_point_and_line(X1,X3)
| apart_point_and_line(X0,X3) )
& convergent_lines(X3,X4)
& distinct_points(X0,X1) )
=> distinct_lines(X3,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f240,plain,
( ! [X4,X5] :
( distinct_lines(sK0,line_connecting(X4,X5))
| distinct_points(sK3,X5)
| ~ distinct_points(X4,X5) )
| ~ spl4_1 ),
inference(resolution,[],[f236,f65]) ).
fof(f65,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X2,X1))
| ~ distinct_points(X2,X1)
| distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1,X2] :
( ~ apart_point_and_line(X0,line_connecting(X2,X1))
| ~ distinct_points(X2,X1)
| ( distinct_points(X0,X1)
& distinct_points(X0,X2) ) ),
inference(rectify,[],[f34]) ).
fof(f34,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X2,line_connecting(X1,X0))
| ~ distinct_points(X1,X0)
| ( distinct_points(X2,X0)
& distinct_points(X2,X1) ) ),
inference(flattening,[],[f33]) ).
fof(f33,plain,
! [X1,X0,X2] :
( ( distinct_points(X2,X0)
& distinct_points(X2,X1) )
| ~ apart_point_and_line(X2,line_connecting(X1,X0))
| ~ distinct_points(X1,X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
! [X1,X0,X2] :
( distinct_points(X1,X0)
=> ( apart_point_and_line(X2,line_connecting(X1,X0))
=> ( distinct_points(X2,X0)
& distinct_points(X2,X1) ) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X1,X0,X2] :
( 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(f236,plain,
( ! [X0] :
( apart_point_and_line(sK3,X0)
| distinct_lines(sK0,X0) )
| ~ spl4_1 ),
inference(resolution,[],[f75,f70]) ).
fof(f70,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X2,X0)
| distinct_lines(X0,X1)
| apart_point_and_line(X2,X1) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0,X1,X2] :
( distinct_lines(X0,X1)
| apart_point_and_line(X2,X1)
| ~ apart_point_and_line(X2,X0) ),
inference(rectify,[],[f40]) ).
fof(f40,plain,
! [X0,X2,X1] :
( distinct_lines(X0,X2)
| apart_point_and_line(X1,X2)
| ~ apart_point_and_line(X1,X0) ),
inference(flattening,[],[f39]) ).
fof(f39,plain,
! [X2,X0,X1] :
( apart_point_and_line(X1,X2)
| distinct_lines(X0,X2)
| ~ apart_point_and_line(X1,X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,plain,
! [X2,X0,X1] :
( apart_point_and_line(X1,X0)
=> ( apart_point_and_line(X1,X2)
| distinct_lines(X0,X2) ) ),
inference(rectify,[],[f11]) ).
fof(f11,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(f75,plain,
( apart_point_and_line(sK3,sK0)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f298,plain,
spl4_5,
inference(avatar_contradiction_clause,[],[f292]) ).
fof(f292,plain,
( $false
| spl4_5 ),
inference(resolution,[],[f193,f115]) ).
fof(f115,plain,
distinct_points(sK1,sK3),
inference(resolution,[],[f96,f67]) ).
fof(f96,plain,
! [X0] :
( distinct_points(sK3,X0)
| distinct_points(sK1,X0) ),
inference(resolution,[],[f94,f57]) ).
fof(f57,plain,
! [X2,X0,X1] :
( ~ distinct_points(X1,X2)
| distinct_points(X1,X0)
| distinct_points(X2,X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1,X2] :
( distinct_points(X1,X0)
| distinct_points(X2,X0)
| ~ distinct_points(X1,X2) ),
inference(rectify,[],[f29]) ).
fof(f29,plain,
! [X1,X0,X2] :
( distinct_points(X0,X1)
| distinct_points(X2,X1)
| ~ distinct_points(X0,X2) ),
inference(flattening,[],[f28]) ).
fof(f28,plain,
! [X2,X1,X0] :
( distinct_points(X0,X1)
| distinct_points(X2,X1)
| ~ distinct_points(X0,X2) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
! [X2,X1,X0] :
( distinct_points(X0,X2)
=> ( distinct_points(X0,X1)
| distinct_points(X2,X1) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X0,X2,X1] :
( distinct_points(X0,X1)
=> ( distinct_points(X0,X2)
| distinct_points(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart4) ).
fof(f94,plain,
distinct_points(sK1,sK3),
inference(resolution,[],[f92,f67]) ).
fof(f92,plain,
! [X0] :
( distinct_points(sK3,X0)
| distinct_points(sK1,X0) ),
inference(resolution,[],[f57,f61]) ).
fof(f61,plain,
distinct_points(sK1,sK3),
inference(cnf_transformation,[],[f49]) ).
fof(f193,plain,
( ~ distinct_points(sK1,sK3)
| spl4_5 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f281,plain,
~ spl4_7,
inference(avatar_contradiction_clause,[],[f278]) ).
fof(f278,plain,
( $false
| ~ spl4_7 ),
inference(resolution,[],[f234,f67]) ).
fof(f234,plain,
( distinct_points(sK1,sK1)
| ~ spl4_7 ),
inference(avatar_component_clause,[],[f232]) ).
fof(f232,plain,
( spl4_7
<=> distinct_points(sK1,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).
fof(f235,plain,
( spl4_7
| ~ spl4_5
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f228,f77,f192,f232]) ).
fof(f77,plain,
( spl4_2
<=> apart_point_and_line(sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f228,plain,
( ~ distinct_points(sK1,sK3)
| distinct_points(sK1,sK1)
| ~ spl4_2 ),
inference(resolution,[],[f113,f63]) ).
fof(f113,plain,
( ! [X0,X1] :
( distinct_lines(sK0,line_connecting(X0,X1))
| distinct_points(sK1,X0)
| ~ distinct_points(X0,X1) )
| ~ spl4_2 ),
inference(resolution,[],[f64,f102]) ).
fof(f102,plain,
( ! [X0] :
( apart_point_and_line(sK1,X0)
| distinct_lines(sK0,X0) )
| ~ spl4_2 ),
inference(resolution,[],[f70,f79]) ).
fof(f79,plain,
( apart_point_and_line(sK1,sK0)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f64,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X2,X1))
| ~ distinct_points(X2,X1)
| distinct_points(X0,X2) ),
inference(cnf_transformation,[],[f50]) ).
fof(f80,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f62,f77,f73]) ).
fof(f62,plain,
( apart_point_and_line(sK1,sK0)
| apart_point_and_line(sK3,sK0) ),
inference(cnf_transformation,[],[f49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO174+2 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n003.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 21:24:22 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.50 % (5753)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)
% 0.20/0.50 % (5745)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)
% 0.20/0.50 % (5737)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.50 % (5745)Instruction limit reached!
% 0.20/0.50 % (5745)------------------------------
% 0.20/0.50 % (5745)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (5745)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (5745)Termination reason: Unknown
% 0.20/0.50 % (5745)Termination phase: Saturation
% 0.20/0.50
% 0.20/0.50 % (5745)Memory used [KB]: 5884
% 0.20/0.50 % (5745)Time elapsed: 0.058 s
% 0.20/0.50 % (5745)Instructions burned: 3 (million)
% 0.20/0.50 % (5745)------------------------------
% 0.20/0.50 % (5745)------------------------------
% 0.20/0.50 % (5753)First to succeed.
% 0.20/0.51 % (5735)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.51 % (5753)Refutation found. Thanks to Tanya!
% 0.20/0.51 % SZS status Theorem for theBenchmark
% 0.20/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51 % (5753)------------------------------
% 0.20/0.51 % (5753)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (5753)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (5753)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (5753)Memory used [KB]: 6012
% 0.20/0.51 % (5753)Time elapsed: 0.051 s
% 0.20/0.51 % (5753)Instructions burned: 5 (million)
% 0.20/0.51 % (5753)------------------------------
% 0.20/0.51 % (5753)------------------------------
% 0.20/0.51 % (5730)Success in time 0.152 s
%------------------------------------------------------------------------------