TSTP Solution File: GEO183+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO183+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -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 : Tue Apr 30 11:14:30 EDT 2024
% Result : Theorem 0.15s 0.37s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 36 ( 5 unt; 0 def)
% Number of atoms : 101 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 110 ( 45 ~; 32 |; 24 &)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 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 : 52 ( 40 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f119,plain,
$false,
inference(avatar_sat_refutation,[],[f67,f100,f118]) ).
fof(f118,plain,
~ spl4_1,
inference(avatar_contradiction_clause,[],[f117]) ).
fof(f117,plain,
( $false
| ~ spl4_1 ),
inference(subsumption_resolution,[],[f114,f41]) ).
fof(f41,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
( ( apart_point_and_line(sK1,sK2)
| apart_point_and_line(sK0,sK2) )
& ~ distinct_lines(sK2,line_connecting(sK0,sK1))
& convergent_lines(sK2,sK3)
& distinct_points(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f20,f39]) ).
fof(f39,plain,
( ? [X0,X1,X2,X3] :
( ( apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X2) )
& ~ distinct_lines(X2,line_connecting(X0,X1))
& convergent_lines(X2,X3)
& distinct_points(X0,X1) )
=> ( ( apart_point_and_line(sK1,sK2)
| apart_point_and_line(sK0,sK2) )
& ~ distinct_lines(sK2,line_connecting(sK0,sK1))
& convergent_lines(sK2,sK3)
& distinct_points(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f20,plain,
? [X0,X1,X2,X3] :
( ( apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X2) )
& ~ distinct_lines(X2,line_connecting(X0,X1))
& convergent_lines(X2,X3)
& distinct_points(X0,X1) ),
inference(flattening,[],[f19]) ).
fof(f19,plain,
? [X0,X1,X2,X3] :
( ( apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X2) )
& ~ distinct_lines(X2,line_connecting(X0,X1))
& convergent_lines(X2,X3)
& distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
~ ! [X0,X1,X2,X3] :
( ( ~ distinct_lines(X2,line_connecting(X0,X1))
& convergent_lines(X2,X3)
& distinct_points(X0,X1) )
=> ( ~ apart_point_and_line(X1,X2)
& ~ apart_point_and_line(X0,X2) ) ),
inference(rectify,[],[f16]) ).
fof(f16,negated_conjecture,
~ ! [X0,X1,X3,X4] :
( ( ~ distinct_lines(X3,line_connecting(X0,X1))
& convergent_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( ~ apart_point_and_line(X1,X3)
& ~ apart_point_and_line(X0,X3) ) ),
inference(negated_conjecture,[],[f15]) ).
fof(f15,conjecture,
! [X0,X1,X3,X4] :
( ( ~ distinct_lines(X3,line_connecting(X0,X1))
& convergent_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( ~ apart_point_and_line(X1,X3)
& ~ apart_point_and_line(X0,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f114,plain,
( ~ distinct_points(sK0,sK1)
| ~ spl4_1 ),
inference(resolution,[],[f110,f43]) ).
fof(f43,plain,
~ distinct_lines(sK2,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f40]) ).
fof(f110,plain,
( ! [X0] :
( distinct_lines(sK2,line_connecting(sK0,X0))
| ~ distinct_points(sK0,X0) )
| ~ spl4_1 ),
inference(resolution,[],[f102,f48]) ).
fof(f48,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(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(f102,plain,
( ! [X0] :
( apart_point_and_line(sK0,X0)
| distinct_lines(sK2,X0) )
| ~ spl4_1 ),
inference(resolution,[],[f62,f56]) ).
fof(f56,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X0,X1)
| distinct_lines(X1,X2)
| apart_point_and_line(X0,X2) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0,X1,X2] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f33]) ).
fof(f33,plain,
! [X0,X1,X2] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1,X2] :
( apart_point_and_line(X0,X1)
=> ( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq2) ).
fof(f62,plain,
( apart_point_and_line(sK0,sK2)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f60,plain,
( spl4_1
<=> apart_point_and_line(sK0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f100,plain,
~ spl4_2,
inference(avatar_contradiction_clause,[],[f99]) ).
fof(f99,plain,
( $false
| ~ spl4_2 ),
inference(subsumption_resolution,[],[f97,f43]) ).
fof(f97,plain,
( distinct_lines(sK2,line_connecting(sK0,sK1))
| ~ spl4_2 ),
inference(resolution,[],[f82,f41]) ).
fof(f82,plain,
( ! [X0] :
( ~ distinct_points(X0,sK1)
| distinct_lines(sK2,line_connecting(X0,sK1)) )
| ~ spl4_2 ),
inference(resolution,[],[f80,f49]) ).
fof(f49,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(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(f80,plain,
( ! [X0] :
( apart_point_and_line(sK1,X0)
| distinct_lines(sK2,X0) )
| ~ spl4_2 ),
inference(resolution,[],[f56,f66]) ).
fof(f66,plain,
( apart_point_and_line(sK1,sK2)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f64,plain,
( spl4_2
<=> apart_point_and_line(sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f67,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f44,f64,f60]) ).
fof(f44,plain,
( apart_point_and_line(sK1,sK2)
| apart_point_and_line(sK0,sK2) ),
inference(cnf_transformation,[],[f40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO183+1 : TPTP v8.1.2. Released v3.3.0.
% 0.06/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.34 % Computer : n024.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Tue Apr 30 05:46:21 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % (23991)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (23995)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.37 % (23996)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.37 % (23993)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.37 % (23997)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.37 % (23998)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.37 TRYING [1,1]
% 0.15/0.37 TRYING [1,1]
% 0.15/0.37 TRYING [2,2]
% 0.15/0.37 TRYING [2,2]
% 0.15/0.37 TRYING [3,2]
% 0.15/0.37 TRYING [3,2]
% 0.15/0.37 TRYING [1]
% 0.15/0.37 % (23997)First to succeed.
% 0.15/0.37 TRYING [4,2]
% 0.15/0.37 TRYING [2]
% 0.15/0.37 TRYING [4,2]
% 0.15/0.37 TRYING [3]
% 0.15/0.37 TRYING [5,2]
% 0.15/0.37 TRYING [5,2]
% 0.15/0.37 % (23997)Refutation found. Thanks to Tanya!
% 0.15/0.37 % SZS status Theorem for theBenchmark
% 0.15/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.37 % (23997)------------------------------
% 0.15/0.37 % (23997)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.37 % (23997)Termination reason: Refutation
% 0.15/0.37
% 0.15/0.37 % (23997)Memory used [KB]: 787
% 0.15/0.37 % (23997)Time elapsed: 0.005 s
% 0.15/0.37 % (23997)Instructions burned: 6 (million)
% 0.15/0.37 % (23997)------------------------------
% 0.15/0.37 % (23997)------------------------------
% 0.15/0.37 % (23991)Success in time 0.008 s
%------------------------------------------------------------------------------