TSTP Solution File: GEO174+3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO174+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n032.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 : Sun May 5 05:15:50 EDT 2024
% Result : Theorem 0.08s 0.29s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 11
% Syntax : Number of formulae : 48 ( 15 unt; 0 def)
% Number of atoms : 119 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 110 ( 39 ~; 40 |; 21 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 88 ( 76 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f310,plain,
$false,
inference(avatar_sat_refutation,[],[f144,f301,f309]) ).
fof(f309,plain,
~ spl5_1,
inference(avatar_contradiction_clause,[],[f306]) ).
fof(f306,plain,
( $false
| ~ spl5_1 ),
inference(resolution,[],[f139,f295]) ).
fof(f295,plain,
! [X0] : ~ apart_point_and_line(X0,sK2),
inference(resolution,[],[f163,f195]) ).
fof(f195,plain,
! [X0] : ~ distinct_lines(sK2,parallel_through_point(line_connecting(sK0,sK1),X0)),
inference(resolution,[],[f177,f108]) ).
fof(f108,plain,
! [X0,X1] :
( convergent_lines(X0,X1)
| ~ distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( convergent_lines(X0,X1)
| ~ distinct_lines(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1] :
( distinct_lines(X0,X1)
=> convergent_lines(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
fof(f177,plain,
! [X0] : ~ convergent_lines(sK2,parallel_through_point(line_connecting(sK0,sK1),X0)),
inference(resolution,[],[f171,f154]) ).
fof(f154,plain,
! [X0] : ~ distinct_lines(parallel_through_point(line_connecting(sK0,sK1),X0),sK2),
inference(resolution,[],[f150,f147]) ).
fof(f147,plain,
! [X0,X1] : ~ distinct_lines(parallel_through_point(X0,X1),X0),
inference(resolution,[],[f108,f104]) ).
fof(f104,plain,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cp1) ).
fof(f150,plain,
! [X0] :
( distinct_lines(X0,line_connecting(sK0,sK1))
| ~ distinct_lines(X0,sK2) ),
inference(resolution,[],[f117,f97]) ).
fof(f97,plain,
~ distinct_lines(sK2,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
( ~ distinct_lines(sK2,line_connecting(sK0,sK1))
& ( apart_point_and_line(sK1,sK2)
| apart_point_and_line(sK0,sK2) )
& convergent_lines(sK2,sK3)
& distinct_points(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f53,f92]) ).
fof(f92,plain,
( ? [X0,X1,X2,X3] :
( ~ distinct_lines(X2,line_connecting(X0,X1))
& ( apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X2) )
& convergent_lines(X2,X3)
& distinct_points(X0,X1) )
=> ( ~ distinct_lines(sK2,line_connecting(sK0,sK1))
& ( apart_point_and_line(sK1,sK2)
| apart_point_and_line(sK0,sK2) )
& convergent_lines(sK2,sK3)
& distinct_points(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
? [X0,X1,X2,X3] :
( ~ distinct_lines(X2,line_connecting(X0,X1))
& ( apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X2) )
& convergent_lines(X2,X3)
& distinct_points(X0,X1) ),
inference(flattening,[],[f52]) ).
fof(f52,plain,
? [X0,X1,X2,X3] :
( ~ distinct_lines(X2,line_connecting(X0,X1))
& ( apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X2) )
& convergent_lines(X2,X3)
& distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
~ ! [X0,X1,X2,X3] :
( ( ( apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X2) )
& convergent_lines(X2,X3)
& distinct_points(X0,X1) )
=> distinct_lines(X2,line_connecting(X0,X1)) ),
inference(rectify,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X0,X1,X3,X4] :
( ( ( 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,[],[f36]) ).
fof(f36,conjecture,
! [X0,X1,X3,X4] :
( ( ( 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/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f117,plain,
! [X2,X0,X1] :
( distinct_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ distinct_lines(X0,X1) ),
inference(flattening,[],[f70]) ).
fof(f70,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ distinct_lines(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1,X2] :
( distinct_lines(X0,X1)
=> ( distinct_lines(X1,X2)
| distinct_lines(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart5) ).
fof(f171,plain,
! [X0,X1] :
( distinct_lines(X0,X1)
| ~ convergent_lines(X1,X0) ),
inference(resolution,[],[f121,f100]) ).
fof(f100,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ convergent_lines(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart3) ).
fof(f121,plain,
! [X2,X0,X1] :
( convergent_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f78]) ).
fof(f78,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq3) ).
fof(f163,plain,
! [X2,X0,X1] :
( distinct_lines(X0,parallel_through_point(X1,X2))
| ~ apart_point_and_line(X2,X0) ),
inference(resolution,[],[f120,f103]) ).
fof(f103,plain,
! [X0,X1] : ~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0,X1] : ~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cp2) ).
fof(f120,plain,
! [X2,X0,X1] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0,X1,X2] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f76]) ).
fof(f76,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(f139,plain,
( apart_point_and_line(sK0,sK2)
| ~ spl5_1 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f137,plain,
( spl5_1
<=> apart_point_and_line(sK0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
fof(f301,plain,
~ spl5_2,
inference(avatar_contradiction_clause,[],[f296]) ).
fof(f296,plain,
( $false
| ~ spl5_2 ),
inference(resolution,[],[f295,f143]) ).
fof(f143,plain,
( apart_point_and_line(sK1,sK2)
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f141,plain,
( spl5_2
<=> apart_point_and_line(sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).
fof(f144,plain,
( spl5_1
| spl5_2 ),
inference(avatar_split_clause,[],[f96,f141,f137]) ).
fof(f96,plain,
( apart_point_and_line(sK1,sK2)
| apart_point_and_line(sK0,sK2) ),
inference(cnf_transformation,[],[f93]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : GEO174+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.08 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.08/0.27 % Computer : n032.cluster.edu
% 0.08/0.27 % Model : x86_64 x86_64
% 0.08/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27 % Memory : 8042.1875MB
% 0.08/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27 % CPULimit : 300
% 0.08/0.27 % WCLimit : 300
% 0.08/0.27 % DateTime : Fri May 3 22:03:08 EDT 2024
% 0.08/0.27 % CPUTime :
% 0.08/0.27 % (21679)Running in auto input_syntax mode. Trying TPTP
% 0.08/0.29 % (21681)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.08/0.29 % (21684)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.08/0.29 % (21682)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.08/0.29 TRYING [1,1]
% 0.08/0.29 TRYING [2,2]
% 0.08/0.29 TRYING [3,2]
% 0.08/0.29 % (21682)First to succeed.
% 0.08/0.29 % (21683)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.08/0.29 TRYING [4,2]
% 0.08/0.29 % (21682)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-21679"
% 0.08/0.29 % (21682)Refutation found. Thanks to Tanya!
% 0.08/0.29 % SZS status Theorem for theBenchmark
% 0.08/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.29 % (21682)------------------------------
% 0.08/0.29 % (21682)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.08/0.29 % (21682)Termination reason: Refutation
% 0.08/0.29
% 0.08/0.29 % (21682)Memory used [KB]: 994
% 0.08/0.29 % (21682)Time elapsed: 0.005 s
% 0.08/0.29 % (21682)Instructions burned: 10 (million)
% 0.08/0.29 % (21679)Success in time 0.004 s
%------------------------------------------------------------------------------