TSTP Solution File: GEO177+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO177+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 : n011.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 0.22s 0.40s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 11
% Syntax : Number of formulae : 68 ( 8 unt; 0 def)
% Number of atoms : 239 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 244 ( 73 ~; 129 |; 25 &)
% ( 5 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 6 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 84 ( 72 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f580,plain,
$false,
inference(avatar_sat_refutation,[],[f68,f284,f306,f421,f545,f579]) ).
fof(f579,plain,
~ spl4_9,
inference(avatar_contradiction_clause,[],[f578]) ).
fof(f578,plain,
( $false
| ~ spl4_9 ),
inference(subsumption_resolution,[],[f575,f41]) ).
fof(f41,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
( ~ apart_point_and_line(sK3,line_connecting(sK0,sK1))
& ~ apart_point_and_line(sK2,line_connecting(sK0,sK1))
& ( apart_point_and_line(sK1,line_connecting(sK2,sK3))
| apart_point_and_line(sK0,line_connecting(sK2,sK3)) )
& distinct_points(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(X3,line_connecting(X0,X1))
& ~ apart_point_and_line(X2,line_connecting(X0,X1))
& ( apart_point_and_line(X1,line_connecting(X2,X3))
| apart_point_and_line(X0,line_connecting(X2,X3)) )
& distinct_points(X2,X3)
& distinct_points(X0,X1) )
=> ( ~ apart_point_and_line(sK3,line_connecting(sK0,sK1))
& ~ apart_point_and_line(sK2,line_connecting(sK0,sK1))
& ( apart_point_and_line(sK1,line_connecting(sK2,sK3))
| apart_point_and_line(sK0,line_connecting(sK2,sK3)) )
& distinct_points(sK2,sK3)
& distinct_points(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f20,plain,
? [X0,X1,X2,X3] :
( ~ apart_point_and_line(X3,line_connecting(X0,X1))
& ~ apart_point_and_line(X2,line_connecting(X0,X1))
& ( apart_point_and_line(X1,line_connecting(X2,X3))
| apart_point_and_line(X0,line_connecting(X2,X3)) )
& distinct_points(X2,X3)
& distinct_points(X0,X1) ),
inference(flattening,[],[f19]) ).
fof(f19,plain,
? [X0,X1,X2,X3] :
( ~ apart_point_and_line(X3,line_connecting(X0,X1))
& ~ apart_point_and_line(X2,line_connecting(X0,X1))
& ( apart_point_and_line(X1,line_connecting(X2,X3))
| apart_point_and_line(X0,line_connecting(X2,X3)) )
& distinct_points(X2,X3)
& distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
~ ! [X0,X1,X2,X3] :
( ( distinct_points(X2,X3)
& distinct_points(X0,X1) )
=> ( ( apart_point_and_line(X1,line_connecting(X2,X3))
| apart_point_and_line(X0,line_connecting(X2,X3)) )
=> ( apart_point_and_line(X3,line_connecting(X0,X1))
| apart_point_and_line(X2,line_connecting(X0,X1)) ) ) ),
inference(rectify,[],[f16]) ).
fof(f16,negated_conjecture,
~ ! [X0,X1,X3,X4] :
( ( distinct_points(X3,X4)
& distinct_points(X0,X1) )
=> ( ( apart_point_and_line(X1,line_connecting(X3,X4))
| apart_point_and_line(X0,line_connecting(X3,X4)) )
=> ( apart_point_and_line(X4,line_connecting(X0,X1))
| apart_point_and_line(X3,line_connecting(X0,X1)) ) ) ),
inference(negated_conjecture,[],[f15]) ).
fof(f15,conjecture,
! [X0,X1,X3,X4] :
( ( distinct_points(X3,X4)
& distinct_points(X0,X1) )
=> ( ( apart_point_and_line(X1,line_connecting(X3,X4))
| apart_point_and_line(X0,line_connecting(X3,X4)) )
=> ( apart_point_and_line(X4,line_connecting(X0,X1))
| apart_point_and_line(X3,line_connecting(X0,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f575,plain,
( ~ distinct_points(sK0,sK1)
| ~ spl4_9 ),
inference(resolution,[],[f574,f52]) ).
fof(f52,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f24,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/sandbox/benchmark/theBenchmark.p',ci2) ).
fof(f574,plain,
( apart_point_and_line(sK1,line_connecting(sK0,sK1))
| ~ spl4_9 ),
inference(subsumption_resolution,[],[f570,f44]) ).
fof(f44,plain,
~ apart_point_and_line(sK2,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f40]) ).
fof(f570,plain,
( apart_point_and_line(sK1,line_connecting(sK0,sK1))
| apart_point_and_line(sK2,line_connecting(sK0,sK1))
| ~ spl4_9 ),
inference(resolution,[],[f248,f45]) ).
fof(f45,plain,
~ apart_point_and_line(sK3,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f40]) ).
fof(f248,plain,
( ! [X0] :
( apart_point_and_line(sK3,X0)
| apart_point_and_line(sK1,X0)
| apart_point_and_line(sK2,X0) )
| ~ spl4_9 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f247,plain,
( spl4_9
<=> ! [X0] :
( apart_point_and_line(sK2,X0)
| apart_point_and_line(sK1,X0)
| apart_point_and_line(sK3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_9])]) ).
fof(f545,plain,
( spl4_9
| ~ spl4_2
| spl4_3
| spl4_8 ),
inference(avatar_split_clause,[],[f544,f243,f223,f65,f247]) ).
fof(f65,plain,
( spl4_2
<=> apart_point_and_line(sK1,line_connecting(sK2,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f223,plain,
( spl4_3
<=> apart_point_and_line(sK3,line_connecting(sK2,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f243,plain,
( spl4_8
<=> apart_point_and_line(sK2,line_connecting(sK2,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).
fof(f544,plain,
( ! [X0] :
( apart_point_and_line(sK2,X0)
| apart_point_and_line(sK3,X0)
| apart_point_and_line(sK1,X0) )
| ~ spl4_2
| spl4_3
| spl4_8 ),
inference(subsumption_resolution,[],[f543,f244]) ).
fof(f244,plain,
( ~ apart_point_and_line(sK2,line_connecting(sK2,sK3))
| spl4_8 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f543,plain,
( ! [X0] :
( apart_point_and_line(sK2,X0)
| apart_point_and_line(sK2,line_connecting(sK2,sK3))
| apart_point_and_line(sK3,X0)
| apart_point_and_line(sK1,X0) )
| ~ spl4_2
| spl4_3 ),
inference(subsumption_resolution,[],[f516,f224]) ).
fof(f224,plain,
( ~ apart_point_and_line(sK3,line_connecting(sK2,sK3))
| spl4_3 ),
inference(avatar_component_clause,[],[f223]) ).
fof(f516,plain,
( ! [X0] :
( apart_point_and_line(sK3,line_connecting(sK2,sK3))
| apart_point_and_line(sK2,X0)
| apart_point_and_line(sK2,line_connecting(sK2,sK3))
| apart_point_and_line(sK3,X0)
| apart_point_and_line(sK1,X0) )
| ~ spl4_2 ),
inference(resolution,[],[f438,f42]) ).
fof(f42,plain,
distinct_points(sK2,sK3),
inference(cnf_transformation,[],[f40]) ).
fof(f438,plain,
( ! [X2,X0,X1] :
( ~ distinct_points(X2,X1)
| apart_point_and_line(X1,line_connecting(sK2,sK3))
| apart_point_and_line(X2,X0)
| apart_point_and_line(X2,line_connecting(sK2,sK3))
| apart_point_and_line(X1,X0)
| apart_point_and_line(sK1,X0) )
| ~ spl4_2 ),
inference(resolution,[],[f423,f59]) ).
fof(f59,plain,
! [X2,X3,X0,X1] :
( ~ distinct_lines(X2,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X1,X3)
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,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,[],[f37]) ).
fof(f37,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,[],[f18]) ).
fof(f18,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,[],[f11]) ).
fof(f11,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/sandbox/benchmark/theBenchmark.p',cu1) ).
fof(f423,plain,
( ! [X0] :
( distinct_lines(line_connecting(sK2,sK3),X0)
| apart_point_and_line(sK1,X0) )
| ~ spl4_2 ),
inference(resolution,[],[f67,f57]) ).
fof(f57,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/sandbox/benchmark/theBenchmark.p',ceq2) ).
fof(f67,plain,
( apart_point_and_line(sK1,line_connecting(sK2,sK3))
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f421,plain,
( ~ spl4_1
| spl4_3
| spl4_8 ),
inference(avatar_contradiction_clause,[],[f420]) ).
fof(f420,plain,
( $false
| ~ spl4_1
| spl4_3
| spl4_8 ),
inference(subsumption_resolution,[],[f417,f41]) ).
fof(f417,plain,
( ~ distinct_points(sK0,sK1)
| ~ spl4_1
| spl4_3
| spl4_8 ),
inference(resolution,[],[f395,f51]) ).
fof(f51,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,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/sandbox/benchmark/theBenchmark.p',ci1) ).
fof(f395,plain,
( apart_point_and_line(sK0,line_connecting(sK0,sK1))
| ~ spl4_1
| spl4_3
| spl4_8 ),
inference(subsumption_resolution,[],[f391,f44]) ).
fof(f391,plain,
( apart_point_and_line(sK2,line_connecting(sK0,sK1))
| apart_point_and_line(sK0,line_connecting(sK0,sK1))
| ~ spl4_1
| spl4_3
| spl4_8 ),
inference(resolution,[],[f381,f45]) ).
fof(f381,plain,
( ! [X0] :
( apart_point_and_line(sK3,X0)
| apart_point_and_line(sK2,X0)
| apart_point_and_line(sK0,X0) )
| ~ spl4_1
| spl4_3
| spl4_8 ),
inference(subsumption_resolution,[],[f380,f244]) ).
fof(f380,plain,
( ! [X0] :
( apart_point_and_line(sK2,X0)
| apart_point_and_line(sK2,line_connecting(sK2,sK3))
| apart_point_and_line(sK3,X0)
| apart_point_and_line(sK0,X0) )
| ~ spl4_1
| spl4_3 ),
inference(subsumption_resolution,[],[f363,f224]) ).
fof(f363,plain,
( ! [X0] :
( apart_point_and_line(sK3,line_connecting(sK2,sK3))
| apart_point_and_line(sK2,X0)
| apart_point_and_line(sK2,line_connecting(sK2,sK3))
| apart_point_and_line(sK3,X0)
| apart_point_and_line(sK0,X0) )
| ~ spl4_1 ),
inference(resolution,[],[f278,f42]) ).
fof(f278,plain,
( ! [X2,X0,X1] :
( ~ distinct_points(X2,X1)
| apart_point_and_line(X1,line_connecting(sK2,sK3))
| apart_point_and_line(X2,X0)
| apart_point_and_line(X2,line_connecting(sK2,sK3))
| apart_point_and_line(X1,X0)
| apart_point_and_line(sK0,X0) )
| ~ spl4_1 ),
inference(resolution,[],[f264,f59]) ).
fof(f264,plain,
( ! [X0] :
( distinct_lines(line_connecting(sK2,sK3),X0)
| apart_point_and_line(sK0,X0) )
| ~ spl4_1 ),
inference(resolution,[],[f63,f57]) ).
fof(f63,plain,
( apart_point_and_line(sK0,line_connecting(sK2,sK3))
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f61,plain,
( spl4_1
<=> apart_point_and_line(sK0,line_connecting(sK2,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f306,plain,
~ spl4_3,
inference(avatar_contradiction_clause,[],[f305]) ).
fof(f305,plain,
( $false
| ~ spl4_3 ),
inference(subsumption_resolution,[],[f302,f42]) ).
fof(f302,plain,
( ~ distinct_points(sK2,sK3)
| ~ spl4_3 ),
inference(resolution,[],[f225,f52]) ).
fof(f225,plain,
( apart_point_and_line(sK3,line_connecting(sK2,sK3))
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f223]) ).
fof(f284,plain,
~ spl4_8,
inference(avatar_contradiction_clause,[],[f283]) ).
fof(f283,plain,
( $false
| ~ spl4_8 ),
inference(subsumption_resolution,[],[f280,f42]) ).
fof(f280,plain,
( ~ distinct_points(sK2,sK3)
| ~ spl4_8 ),
inference(resolution,[],[f245,f51]) ).
fof(f245,plain,
( apart_point_and_line(sK2,line_connecting(sK2,sK3))
| ~ spl4_8 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f68,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f43,f65,f61]) ).
fof(f43,plain,
( apart_point_and_line(sK1,line_connecting(sK2,sK3))
| apart_point_and_line(sK0,line_connecting(sK2,sK3)) ),
inference(cnf_transformation,[],[f40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO177+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36 % Computer : n011.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Tue Apr 30 05:46:01 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 % (8058)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.38 % (8059)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.16/0.38 % (8061)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)
% 0.16/0.38 % (8062)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.16/0.38 % (8063)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.16/0.38 % (8064)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.16/0.38 % (8065)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)
% 0.16/0.38 % (8060)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.38 TRYING [1]
% 0.16/0.38 TRYING [2]
% 0.16/0.38 TRYING [1,1]
% 0.16/0.38 TRYING [3]
% 0.16/0.38 TRYING [1]
% 0.16/0.38 TRYING [1,1]
% 0.16/0.38 TRYING [2,2]
% 0.16/0.38 TRYING [2]
% 0.16/0.39 TRYING [3,2]
% 0.16/0.39 TRYING [2,2]
% 0.16/0.39 TRYING [4]
% 0.16/0.39 TRYING [3]
% 0.16/0.39 TRYING [3,2]
% 0.16/0.39 TRYING [4,2]
% 0.16/0.39 TRYING [4,2]
% 0.16/0.39 TRYING [4]
% 0.16/0.39 TRYING [3,3]
% 0.16/0.39 TRYING [3,3]
% 0.16/0.39 TRYING [4,3]
% 0.16/0.39 TRYING [5]
% 0.16/0.39 TRYING [4,3]
% 0.16/0.39 TRYING [5,2]
% 0.16/0.39 TRYING [5]
% 0.16/0.39 TRYING [5,2]
% 0.16/0.39 TRYING [6,2]
% 0.22/0.39 % (8064)First to succeed.
% 0.22/0.39 TRYING [6,2]
% 0.22/0.40 TRYING [5,3]
% 0.22/0.40 TRYING [6]
% 0.22/0.40 % (8064)Refutation found. Thanks to Tanya!
% 0.22/0.40 % SZS status Theorem for theBenchmark
% 0.22/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.40 % (8064)------------------------------
% 0.22/0.40 % (8064)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.40 % (8064)Termination reason: Refutation
% 0.22/0.40
% 0.22/0.40 % (8064)Memory used [KB]: 931
% 0.22/0.40 % (8064)Time elapsed: 0.015 s
% 0.22/0.40 % (8064)Instructions burned: 24 (million)
% 0.22/0.40 % (8064)------------------------------
% 0.22/0.40 % (8064)------------------------------
% 0.22/0.40 % (8058)Success in time 0.03 s
%------------------------------------------------------------------------------