TSTP Solution File: GEO201+3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO201+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 : n023.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 11:14:40 EDT 2024
% Result : Theorem 0.14s 0.39s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of formulae : 59 ( 12 unt; 0 def)
% Number of atoms : 139 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 132 ( 52 ~; 59 |; 6 &)
% ( 5 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 5 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 71 ( 67 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f720,plain,
$false,
inference(avatar_sat_refutation,[],[f604,f629,f662,f687,f719]) ).
fof(f719,plain,
~ spl2_12,
inference(avatar_contradiction_clause,[],[f718]) ).
fof(f718,plain,
( $false
| ~ spl2_12 ),
inference(subsumption_resolution,[],[f715,f94]) ).
fof(f94,plain,
convergent_lines(sK0,sK1),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
( ~ equal_points(intersection_point(sK0,sK1),intersection_point(sK1,sK0))
& convergent_lines(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f52,f92]) ).
fof(f92,plain,
( ? [X0,X1] :
( ~ equal_points(intersection_point(X0,X1),intersection_point(X1,X0))
& convergent_lines(X0,X1) )
=> ( ~ equal_points(intersection_point(sK0,sK1),intersection_point(sK1,sK0))
& convergent_lines(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
? [X0,X1] :
( ~ equal_points(intersection_point(X0,X1),intersection_point(X1,X0))
& convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X0,X1] :
( convergent_lines(X0,X1)
=> equal_points(intersection_point(X0,X1),intersection_point(X1,X0)) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X0,X1] :
( convergent_lines(X0,X1)
=> equal_points(intersection_point(X0,X1),intersection_point(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f715,plain,
( ~ convergent_lines(sK0,sK1)
| ~ spl2_12 ),
inference(resolution,[],[f593,f107]) ).
fof(f107,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] :
( convergent_lines(X0,X1)
=> ~ apart_point_and_line(intersection_point(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ci3) ).
fof(f593,plain,
( apart_point_and_line(intersection_point(sK0,sK1),sK0)
| ~ spl2_12 ),
inference(avatar_component_clause,[],[f591]) ).
fof(f591,plain,
( spl2_12
<=> apart_point_and_line(intersection_point(sK0,sK1),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_12])]) ).
fof(f687,plain,
~ spl2_11,
inference(avatar_contradiction_clause,[],[f686]) ).
fof(f686,plain,
( $false
| ~ spl2_11 ),
inference(subsumption_resolution,[],[f683,f141]) ).
fof(f141,plain,
convergent_lines(sK1,sK0),
inference(resolution,[],[f138,f106]) ).
fof(f106,plain,
! [X0,X1] :
( ~ distinct_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,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/sandbox/benchmark/theBenchmark.p',p1) ).
fof(f138,plain,
distinct_lines(sK1,sK0),
inference(resolution,[],[f136,f98]) ).
fof(f98,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ convergent_lines(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart3) ).
fof(f136,plain,
! [X0] :
( convergent_lines(sK0,X0)
| distinct_lines(sK1,X0) ),
inference(resolution,[],[f120,f94]) ).
fof(f120,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,X1)
| distinct_lines(X1,X2)
| convergent_lines(X0,X2) ),
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/sandbox/benchmark/theBenchmark.p',ceq3) ).
fof(f683,plain,
( ~ convergent_lines(sK1,sK0)
| ~ spl2_11 ),
inference(resolution,[],[f589,f108]) ).
fof(f108,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1] :
( convergent_lines(X0,X1)
=> ~ apart_point_and_line(intersection_point(X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ci4) ).
fof(f589,plain,
( apart_point_and_line(intersection_point(sK1,sK0),sK0)
| ~ spl2_11 ),
inference(avatar_component_clause,[],[f587]) ).
fof(f587,plain,
( spl2_11
<=> apart_point_and_line(intersection_point(sK1,sK0),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_11])]) ).
fof(f662,plain,
~ spl2_14,
inference(avatar_contradiction_clause,[],[f661]) ).
fof(f661,plain,
( $false
| ~ spl2_14 ),
inference(subsumption_resolution,[],[f658,f94]) ).
fof(f658,plain,
( ~ convergent_lines(sK0,sK1)
| ~ spl2_14 ),
inference(resolution,[],[f602,f108]) ).
fof(f602,plain,
( apart_point_and_line(intersection_point(sK0,sK1),sK1)
| ~ spl2_14 ),
inference(avatar_component_clause,[],[f600]) ).
fof(f600,plain,
( spl2_14
<=> apart_point_and_line(intersection_point(sK0,sK1),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_14])]) ).
fof(f629,plain,
~ spl2_13,
inference(avatar_contradiction_clause,[],[f628]) ).
fof(f628,plain,
( $false
| ~ spl2_13 ),
inference(subsumption_resolution,[],[f625,f141]) ).
fof(f625,plain,
( ~ convergent_lines(sK1,sK0)
| ~ spl2_13 ),
inference(resolution,[],[f598,f107]) ).
fof(f598,plain,
( apart_point_and_line(intersection_point(sK1,sK0),sK1)
| ~ spl2_13 ),
inference(avatar_component_clause,[],[f596]) ).
fof(f596,plain,
( spl2_13
<=> apart_point_and_line(intersection_point(sK1,sK0),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_13])]) ).
fof(f604,plain,
( spl2_11
| spl2_13
| spl2_14
| spl2_12 ),
inference(avatar_split_clause,[],[f569,f591,f600,f596,f587]) ).
fof(f569,plain,
( apart_point_and_line(intersection_point(sK0,sK1),sK0)
| apart_point_and_line(intersection_point(sK0,sK1),sK1)
| apart_point_and_line(intersection_point(sK1,sK0),sK1)
| apart_point_and_line(intersection_point(sK1,sK0),sK0) ),
inference(resolution,[],[f227,f138]) ).
fof(f227,plain,
! [X0,X1] :
( ~ distinct_lines(X0,X1)
| apart_point_and_line(intersection_point(sK0,sK1),X1)
| apart_point_and_line(intersection_point(sK0,sK1),X0)
| apart_point_and_line(intersection_point(sK1,sK0),X0)
| apart_point_and_line(intersection_point(sK1,sK0),X1) ),
inference(resolution,[],[f132,f134]) ).
fof(f134,plain,
distinct_points(intersection_point(sK0,sK1),intersection_point(sK1,sK0)),
inference(resolution,[],[f95,f113]) ).
fof(f113,plain,
! [X0,X1] :
( equal_points(X0,X1)
| distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0,X1] :
( equal_points(X0,X1)
| distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1] :
( ~ distinct_points(X0,X1)
=> equal_points(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f31]) ).
fof(f31,axiom,
! [X0,X1] :
( equal_points(X0,X1)
<=> ~ distinct_points(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f95,plain,
~ equal_points(intersection_point(sK0,sK1),intersection_point(sK1,sK0)),
inference(cnf_transformation,[],[f93]) ).
fof(f132,plain,
! [X2,X3,X0,X1] :
( ~ distinct_points(X0,X1)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2)
| ~ distinct_lines(X2,X3)
| apart_point_and_line(X1,X3) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,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,[],[f90]) ).
fof(f90,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,[],[f50]) ).
fof(f50,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) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.12 % Problem : GEO201+3 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n023.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 05:58:10 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (30815)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (30819)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 % (30816)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37 % (30817)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (30818)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 % (30820)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37 % (30821)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37 % (30822)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 [1,1]
% 0.14/0.37 TRYING [1,2]
% 0.14/0.37 TRYING [2,2]
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2,3]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [3]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [1,1]
% 0.14/0.37 TRYING [2,4]
% 0.14/0.37 TRYING [1,2]
% 0.14/0.37 TRYING [2,2]
% 0.14/0.37 TRYING [3]
% 0.14/0.38 TRYING [2,3]
% 0.14/0.38 TRYING [2,5]
% 0.14/0.38 TRYING [4]
% 0.14/0.38 TRYING [2,4]
% 0.14/0.38 TRYING [2,6]
% 0.14/0.38 TRYING [4]
% 0.14/0.38 TRYING [2,5]
% 0.14/0.38 TRYING [2,7]
% 0.14/0.38 TRYING [2,6]
% 0.14/0.38 TRYING [5]
% 0.14/0.38 TRYING [2,8]
% 0.14/0.38 TRYING [2,7]
% 0.14/0.39 TRYING [5]
% 0.14/0.39 TRYING [2,9]
% 0.14/0.39 TRYING [2,8]
% 0.14/0.39 % (30821)First to succeed.
% 0.14/0.39 TRYING [2,9]
% 0.14/0.39 TRYING [2,10]
% 0.14/0.39 % (30821)Refutation found. Thanks to Tanya!
% 0.14/0.39 % SZS status Theorem for theBenchmark
% 0.14/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.39 % (30821)------------------------------
% 0.14/0.39 % (30821)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.39 % (30821)Termination reason: Refutation
% 0.14/0.39
% 0.14/0.39 % (30821)Memory used [KB]: 1137
% 0.14/0.39 % (30821)Time elapsed: 0.021 s
% 0.14/0.39 % (30821)Instructions burned: 36 (million)
% 0.14/0.39 % (30821)------------------------------
% 0.14/0.39 % (30821)------------------------------
% 0.14/0.39 % (30815)Success in time 0.038 s
%------------------------------------------------------------------------------