TSTP Solution File: GEO172+2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO172+2 : TPTP v8.2.0. Released v3.3.0.
% 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 : Mon May 20 20:14:55 EDT 2024
% Result : Theorem 0.08s 0.30s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 10
% Syntax : Number of formulae : 52 ( 12 unt; 0 def)
% Number of atoms : 148 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 155 ( 59 ~; 62 |; 23 &)
% ( 2 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 78 ( 69 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f285,plain,
$false,
inference(avatar_sat_refutation,[],[f127,f265,f284]) ).
fof(f284,plain,
~ spl3_1,
inference(avatar_contradiction_clause,[],[f283]) ).
fof(f283,plain,
( $false
| ~ spl3_1 ),
inference(subsumption_resolution,[],[f280,f37]) ).
fof(f37,plain,
convergent_lines(sK0,sK1),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
( distinct_points(sK2,intersection_point(sK0,sK1))
& ~ apart_point_and_line(sK2,sK1)
& ~ apart_point_and_line(sK2,sK0)
& convergent_lines(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f17,f35]) ).
fof(f35,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) )
=> ( distinct_points(sK2,intersection_point(sK0,sK1))
& ~ apart_point_and_line(sK2,sK1)
& ~ apart_point_and_line(sK2,sK0)
& convergent_lines(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f17,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,[],[f16]) ).
fof(f16,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,[],[f14]) ).
fof(f14,negated_conjecture,
~ ! [X0,X1,X2] :
( ( ~ apart_point_and_line(X2,X1)
& ~ apart_point_and_line(X2,X0)
& convergent_lines(X0,X1) )
=> ~ distinct_points(X2,intersection_point(X0,X1)) ),
inference(negated_conjecture,[],[f13]) ).
fof(f13,conjecture,
! [X0,X1,X2] :
( ( ~ apart_point_and_line(X2,X1)
& ~ apart_point_and_line(X2,X0)
& convergent_lines(X0,X1) )
=> ~ distinct_points(X2,intersection_point(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f280,plain,
( ~ convergent_lines(sK0,sK1)
| ~ spl3_1 ),
inference(resolution,[],[f158,f43]) ).
fof(f43,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(f158,plain,
( ! [X0] :
( distinct_points(intersection_point(sK0,sK1),intersection_point(X0,sK1))
| ~ convergent_lines(X0,sK1) )
| ~ spl3_1 ),
inference(resolution,[],[f109,f47]) ).
fof(f47,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X2,X1)
| distinct_points(X2,intersection_point(X0,X1))
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[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(flattening,[],[f21]) ).
fof(f21,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(f109,plain,
( apart_point_and_line(intersection_point(sK0,sK1),sK1)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f107,plain,
( spl3_1
<=> apart_point_and_line(intersection_point(sK0,sK1),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f265,plain,
~ spl3_2,
inference(avatar_contradiction_clause,[],[f264]) ).
fof(f264,plain,
( $false
| ~ spl3_2 ),
inference(subsumption_resolution,[],[f261,f37]) ).
fof(f261,plain,
( ~ convergent_lines(sK0,sK1)
| ~ spl3_2 ),
inference(resolution,[],[f131,f43]) ).
fof(f131,plain,
( ! [X0] :
( distinct_points(intersection_point(sK0,sK1),intersection_point(sK0,X0))
| ~ convergent_lines(sK0,X0) )
| ~ spl3_2 ),
inference(resolution,[],[f113,f46]) ).
fof(f46,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X2,X0)
| distinct_points(X2,intersection_point(X0,X1))
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f113,plain,
( apart_point_and_line(intersection_point(sK0,sK1),sK0)
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f111,plain,
( spl3_2
<=> apart_point_and_line(intersection_point(sK0,sK1),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f127,plain,
( spl3_2
| spl3_1 ),
inference(avatar_split_clause,[],[f126,f107,f111]) ).
fof(f126,plain,
( apart_point_and_line(intersection_point(sK0,sK1),sK1)
| apart_point_and_line(intersection_point(sK0,sK1),sK0) ),
inference(subsumption_resolution,[],[f125,f39]) ).
fof(f39,plain,
~ apart_point_and_line(sK2,sK1),
inference(cnf_transformation,[],[f36]) ).
fof(f125,plain,
( apart_point_and_line(sK2,sK1)
| apart_point_and_line(intersection_point(sK0,sK1),sK1)
| apart_point_and_line(intersection_point(sK0,sK1),sK0) ),
inference(subsumption_resolution,[],[f102,f38]) ).
fof(f38,plain,
~ apart_point_and_line(sK2,sK0),
inference(cnf_transformation,[],[f36]) ).
fof(f102,plain,
( apart_point_and_line(sK2,sK0)
| apart_point_and_line(sK2,sK1)
| apart_point_and_line(intersection_point(sK0,sK1),sK1)
| apart_point_and_line(intersection_point(sK0,sK1),sK0) ),
inference(resolution,[],[f97,f63]) ).
fof(f63,plain,
distinct_lines(sK1,sK0),
inference(resolution,[],[f60,f41]) ).
fof(f41,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(f60,plain,
! [X0] :
( convergent_lines(sK0,X0)
| distinct_lines(sK1,X0) ),
inference(resolution,[],[f56,f44]) ).
fof(f44,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,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(f56,plain,
! [X0] :
( convergent_lines(sK1,X0)
| convergent_lines(sK0,X0) ),
inference(resolution,[],[f45,f37]) ).
fof(f45,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,X1)
| convergent_lines(X0,X2)
| convergent_lines(X1,X2) ),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f19]) ).
fof(f19,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X1,X2)
| convergent_lines(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart6) ).
fof(f97,plain,
! [X0,X1] :
( ~ distinct_lines(X0,X1)
| apart_point_and_line(sK2,X1)
| apart_point_and_line(sK2,X0)
| apart_point_and_line(intersection_point(sK0,sK1),X0)
| apart_point_and_line(intersection_point(sK0,sK1),X1) ),
inference(resolution,[],[f54,f40]) ).
fof(f40,plain,
distinct_points(sK2,intersection_point(sK0,sK1)),
inference(cnf_transformation,[],[f36]) ).
fof(f54,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,[],[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(flattening,[],[f33]) ).
fof(f33,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,[],[f15]) ).
fof(f15,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
% 0.03/0.08 % Problem : GEO172+2 : TPTP v8.2.0. Released v3.3.0.
% 0.03/0.09 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 300
% 0.08/0.28 % DateTime : Sun May 19 14:25:23 EDT 2024
% 0.08/0.28 % CPUTime :
% 0.08/0.28 % (10928)Running in auto input_syntax mode. Trying TPTP
% 0.08/0.29 % (10931)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 % (10932)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 % (10935)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.08/0.29 % (10933)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.08/0.29 % (10930)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.08/0.29 TRYING [1,1]
% 0.08/0.29 TRYING [1,2]
% 0.08/0.29 TRYING [1,1]
% 0.08/0.29 TRYING [2,2]
% 0.08/0.29 TRYING [1,2]
% 0.08/0.29 TRYING [2,2]
% 0.08/0.29 TRYING [2,3]
% 0.08/0.29 TRYING [2,3]
% 0.08/0.29 TRYING [2,4]
% 0.08/0.29 TRYING [2,4]
% 0.08/0.29 % (10936)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)
% 0.08/0.29 TRYING [2,5]
% 0.08/0.30 TRYING [2,5]
% 0.08/0.30 TRYING [1]
% 0.08/0.30 TRYING [2]
% 0.08/0.30 TRYING [3]
% 0.08/0.30 TRYING [2,6]
% 0.08/0.30 % (10935)First to succeed.
% 0.08/0.30 TRYING [2,6]
% 0.08/0.30 % (10931)Also succeeded, but the first one will report.
% 0.08/0.30 % (10935)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-10928"
% 0.08/0.30 TRYING [4]
% 0.08/0.30 % (10935)Refutation found. Thanks to Tanya!
% 0.08/0.30 % SZS status Theorem for theBenchmark
% 0.08/0.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.30 % (10935)------------------------------
% 0.08/0.30 % (10935)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.08/0.30 % (10935)Termination reason: Refutation
% 0.08/0.30
% 0.08/0.30 % (10935)Memory used [KB]: 883
% 0.08/0.30 % (10935)Time elapsed: 0.005 s
% 0.08/0.30 % (10935)Instructions burned: 13 (million)
% 0.08/0.30 % (10928)Success in time 0.015 s
%------------------------------------------------------------------------------