TSTP Solution File: GEO175+2 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO175+2 : 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 : n016.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 11:14:27 EDT 2024
% Result : Theorem 0.21s 0.38s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of formulae : 65 ( 12 unt; 0 def)
% Number of atoms : 197 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 206 ( 74 ~; 87 |; 30 &)
% ( 4 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 5 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 105 ( 93 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f534,plain,
$false,
inference(avatar_sat_refutation,[],[f114,f138,f467,f476,f533]) ).
fof(f533,plain,
spl4_11,
inference(avatar_contradiction_clause,[],[f532]) ).
fof(f532,plain,
( $false
| spl4_11 ),
inference(resolution,[],[f521,f45]) ).
fof(f45,plain,
! [X0] : ~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : ~ distinct_points(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart1) ).
fof(f521,plain,
( distinct_points(sK0,sK0)
| spl4_11 ),
inference(resolution,[],[f482,f40]) ).
fof(f40,plain,
distinct_points(sK0,intersection_point(sK2,sK3)),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
( ~ apart_point_and_line(sK0,sK3)
& ~ apart_point_and_line(sK0,sK2)
& distinct_points(sK0,intersection_point(sK2,sK3))
& convergent_lines(sK2,sK3)
& distinct_points(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f18,f36]) ).
fof(f36,plain,
( ? [X0,X1,X2,X3] :
( ~ apart_point_and_line(X0,X3)
& ~ apart_point_and_line(X0,X2)
& distinct_points(X0,intersection_point(X2,X3))
& convergent_lines(X2,X3)
& distinct_points(X0,X1) )
=> ( ~ apart_point_and_line(sK0,sK3)
& ~ apart_point_and_line(sK0,sK2)
& distinct_points(sK0,intersection_point(sK2,sK3))
& convergent_lines(sK2,sK3)
& distinct_points(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
? [X0,X1,X2,X3] :
( ~ apart_point_and_line(X0,X3)
& ~ apart_point_and_line(X0,X2)
& distinct_points(X0,intersection_point(X2,X3))
& convergent_lines(X2,X3)
& distinct_points(X0,X1) ),
inference(flattening,[],[f17]) ).
fof(f17,plain,
? [X0,X1,X2,X3] :
( ~ apart_point_and_line(X0,X3)
& ~ apart_point_and_line(X0,X2)
& distinct_points(X0,intersection_point(X2,X3))
& convergent_lines(X2,X3)
& distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,plain,
~ ! [X0,X1,X2,X3] :
( ( distinct_points(X0,intersection_point(X2,X3))
& convergent_lines(X2,X3)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2) ) ),
inference(rectify,[],[f14]) ).
fof(f14,negated_conjecture,
~ ! [X0,X1,X3,X4] :
( ( distinct_points(X0,intersection_point(X3,X4))
& convergent_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X0,X4)
| apart_point_and_line(X0,X3) ) ),
inference(negated_conjecture,[],[f13]) ).
fof(f13,conjecture,
! [X0,X1,X3,X4] :
( ( distinct_points(X0,intersection_point(X3,X4))
& convergent_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X0,X4)
| apart_point_and_line(X0,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f482,plain,
( ! [X0] :
( ~ distinct_points(X0,intersection_point(sK2,sK3))
| distinct_points(X0,sK0) )
| spl4_11 ),
inference(resolution,[],[f466,f53]) ).
fof(f53,plain,
! [X2,X0,X1] :
( distinct_points(X1,X2)
| distinct_points(X0,X2)
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1,X2] :
( distinct_points(X1,X2)
| distinct_points(X0,X2)
| ~ distinct_points(X0,X1) ),
inference(flattening,[],[f30]) ).
fof(f30,plain,
! [X0,X1,X2] :
( distinct_points(X1,X2)
| distinct_points(X0,X2)
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1,X2] :
( distinct_points(X0,X1)
=> ( distinct_points(X1,X2)
| distinct_points(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart4) ).
fof(f466,plain,
( ~ distinct_points(intersection_point(sK2,sK3),sK0)
| spl4_11 ),
inference(avatar_component_clause,[],[f464]) ).
fof(f464,plain,
( spl4_11
<=> distinct_points(intersection_point(sK2,sK3),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_11])]) ).
fof(f476,plain,
spl4_10,
inference(avatar_contradiction_clause,[],[f474]) ).
fof(f474,plain,
( $false
| spl4_10 ),
inference(resolution,[],[f462,f39]) ).
fof(f39,plain,
convergent_lines(sK2,sK3),
inference(cnf_transformation,[],[f37]) ).
fof(f462,plain,
( ~ convergent_lines(sK2,sK3)
| spl4_10 ),
inference(avatar_component_clause,[],[f460]) ).
fof(f460,plain,
( spl4_10
<=> convergent_lines(sK2,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_10])]) ).
fof(f467,plain,
( ~ spl4_10
| ~ spl4_11
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f452,f112,f464,f460]) ).
fof(f112,plain,
( spl4_2
<=> ! [X0] :
( apart_point_and_line(X0,sK2)
| ~ distinct_points(X0,sK0)
| apart_point_and_line(X0,sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f452,plain,
( ~ distinct_points(intersection_point(sK2,sK3),sK0)
| ~ convergent_lines(sK2,sK3)
| ~ spl4_2 ),
inference(duplicate_literal_removal,[],[f446]) ).
fof(f446,plain,
( ~ distinct_points(intersection_point(sK2,sK3),sK0)
| ~ convergent_lines(sK2,sK3)
| ~ convergent_lines(sK2,sK3)
| ~ spl4_2 ),
inference(resolution,[],[f144,f71]) ).
fof(f71,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(resolution,[],[f48,f45]) ).
fof(f48,plain,
! [X2,X0,X1] :
( distinct_points(X2,intersection_point(X0,X1))
| ~ apart_point_and_line(X2,X0)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1,X2] :
( distinct_points(X2,intersection_point(X0,X1))
| ( ~ apart_point_and_line(X2,X1)
& ~ apart_point_and_line(X2,X0) )
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f22]) ).
fof(f22,plain,
! [X0,X1,X2] :
( distinct_points(X2,intersection_point(X0,X1))
| ( ~ apart_point_and_line(X2,X1)
& ~ apart_point_and_line(X2,X0) )
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
=> ( ( apart_point_and_line(X2,X1)
| apart_point_and_line(X2,X0) )
=> distinct_points(X2,intersection_point(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con2) ).
fof(f144,plain,
( ! [X0] :
( apart_point_and_line(intersection_point(X0,sK3),sK2)
| ~ distinct_points(intersection_point(X0,sK3),sK0)
| ~ convergent_lines(X0,sK3) )
| ~ spl4_2 ),
inference(resolution,[],[f113,f74]) ).
fof(f74,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(resolution,[],[f49,f45]) ).
fof(f49,plain,
! [X2,X0,X1] :
( distinct_points(X2,intersection_point(X0,X1))
| ~ apart_point_and_line(X2,X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
fof(f113,plain,
( ! [X0] :
( apart_point_and_line(X0,sK3)
| ~ distinct_points(X0,sK0)
| apart_point_and_line(X0,sK2) )
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f138,plain,
spl4_1,
inference(avatar_contradiction_clause,[],[f136]) ).
fof(f136,plain,
( $false
| spl4_1 ),
inference(resolution,[],[f135,f39]) ).
fof(f135,plain,
( ~ convergent_lines(sK2,sK3)
| spl4_1 ),
inference(resolution,[],[f129,f46]) ).
fof(f46,plain,
! [X0,X1] :
( distinct_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X1] :
( distinct_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0,X1] :
( convergent_lines(X0,X1)
=> distinct_lines(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq3) ).
fof(f129,plain,
( ~ distinct_lines(sK2,sK3)
| spl4_1 ),
inference(resolution,[],[f125,f44]) ).
fof(f44,plain,
! [X0] : ~ distinct_lines(X0,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] : ~ distinct_lines(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart2) ).
fof(f125,plain,
( ! [X0] :
( distinct_lines(X0,sK2)
| ~ distinct_lines(X0,sK3) )
| spl4_1 ),
inference(resolution,[],[f110,f50]) ).
fof(f50,plain,
! [X2,X0,X1] :
( distinct_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ distinct_lines(X0,X1) ),
inference(flattening,[],[f24]) ).
fof(f24,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(f110,plain,
( ~ distinct_lines(sK3,sK2)
| spl4_1 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f108,plain,
( spl4_1
<=> distinct_lines(sK3,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f114,plain,
( ~ spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f100,f112,f108]) ).
fof(f100,plain,
! [X0] :
( apart_point_and_line(X0,sK2)
| apart_point_and_line(X0,sK3)
| ~ distinct_lines(sK3,sK2)
| ~ distinct_points(X0,sK0) ),
inference(resolution,[],[f85,f42]) ).
fof(f42,plain,
~ apart_point_and_line(sK0,sK3),
inference(cnf_transformation,[],[f37]) ).
fof(f85,plain,
! [X0,X1] :
( apart_point_and_line(sK0,X0)
| apart_point_and_line(X1,sK2)
| apart_point_and_line(X1,X0)
| ~ distinct_lines(X0,sK2)
| ~ distinct_points(X1,sK0) ),
inference(resolution,[],[f56,f41]) ).
fof(f41,plain,
~ apart_point_and_line(sK0,sK2),
inference(cnf_transformation,[],[f37]) ).
fof(f56,plain,
! [X2,X3,X0,X1] :
( apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2)
| ~ distinct_lines(X2,X3)
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2)
| ~ distinct_lines(X2,X3)
| ~ distinct_points(X0,X1) ),
inference(flattening,[],[f34]) ).
fof(f34,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2)
| ~ distinct_lines(X2,X3)
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0,X1,X2,X3] :
( ( distinct_lines(X2,X3)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2) ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X0,X1,X3,X4] :
( ( distinct_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X1,X4)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X0,X4)
| apart_point_and_line(X0,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cu1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO175+2 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n016.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 06:25:11 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (20305)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36 % (20307)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 TRYING [1,1]
% 0.14/0.37 TRYING [1,2]
% 0.14/0.37 TRYING [2,2]
% 0.14/0.37 TRYING [2,3]
% 0.14/0.37 TRYING [2,4]
% 0.14/0.37 TRYING [2,5]
% 0.14/0.37 TRYING [2,6]
% 0.14/0.37 % (20306)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37 % (20309)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.37 % (20308)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)
% 0.14/0.37 % (20310)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37 % (20311)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37 % (20312)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)
% 0.14/0.37 TRYING [2,7]
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [1,1]
% 0.14/0.37 TRYING [3]
% 0.14/0.37 TRYING [1,2]
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2,2]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [2,3]
% 0.14/0.37 TRYING [3]
% 0.14/0.37 TRYING [2,8]
% 0.14/0.37 TRYING [4]
% 0.14/0.37 TRYING [2,4]
% 0.14/0.38 TRYING [4]
% 0.14/0.38 TRYING [2,5]
% 0.14/0.38 TRYING [5]
% 0.14/0.38 TRYING [2,9]
% 0.14/0.38 TRYING [2,6]
% 0.14/0.38 TRYING [5]
% 0.14/0.38 TRYING [2,10]
% 0.14/0.38 TRYING [2,7]
% 0.14/0.38 % (20308)First to succeed.
% 0.14/0.38 TRYING [6]
% 0.14/0.38 TRYING [2,8]
% 0.21/0.38 % (20308)Refutation found. Thanks to Tanya!
% 0.21/0.38 % SZS status Theorem for theBenchmark
% 0.21/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.39 % (20308)------------------------------
% 0.21/0.39 % (20308)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.39 % (20308)Termination reason: Refutation
% 0.21/0.39
% 0.21/0.39 % (20308)Memory used [KB]: 967
% 0.21/0.39 % (20308)Time elapsed: 0.014 s
% 0.21/0.39 % (20308)Instructions burned: 22 (million)
% 0.21/0.39 % (20308)------------------------------
% 0.21/0.39 % (20308)------------------------------
% 0.21/0.39 % (20305)Success in time 0.019 s
%------------------------------------------------------------------------------