TSTP Solution File: GEO192+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO192+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n013.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 : Wed Aug 31 16:12:11 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 10
% Syntax : Number of formulae : 54 ( 15 unt; 0 def)
% Number of atoms : 124 ( 1 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 120 ( 50 ~; 40 |; 15 &)
% ( 2 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 77 ( 65 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f122,plain,
$false,
inference(avatar_sat_refutation,[],[f84,f116,f121]) ).
fof(f121,plain,
spl4_1,
inference(avatar_contradiction_clause,[],[f120]) ).
fof(f120,plain,
( $false
| spl4_1 ),
inference(subsumption_resolution,[],[f118,f79]) ).
fof(f79,plain,
( ~ distinct_lines(sK0,sK2)
| spl4_1 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f77,plain,
( spl4_1
<=> distinct_lines(sK0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f118,plain,
distinct_lines(sK0,sK2),
inference(resolution,[],[f113,f66]) ).
fof(f66,plain,
! [X0] : ~ distinct_lines(X0,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] : ~ distinct_lines(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart2) ).
fof(f113,plain,
! [X0] :
( distinct_lines(sK2,X0)
| distinct_lines(sK0,X0) ),
inference(resolution,[],[f108,f63]) ).
fof(f63,plain,
! [X2,X0,X1] :
( ~ distinct_lines(X0,X2)
| distinct_lines(X2,X1)
| distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1,X2] :
( distinct_lines(X2,X1)
| distinct_lines(X0,X1)
| ~ distinct_lines(X0,X2) ),
inference(rectify,[],[f38]) ).
fof(f38,plain,
! [X0,X2,X1] :
( distinct_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ distinct_lines(X0,X1) ),
inference(flattening,[],[f37]) ).
fof(f37,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/sandbox/benchmark/theBenchmark.p',apart5) ).
fof(f108,plain,
distinct_lines(sK2,sK0),
inference(resolution,[],[f106,f88]) ).
fof(f88,plain,
~ apart_point_and_line(sF3,sK0),
inference(subsumption_resolution,[],[f87,f59]) ).
fof(f59,plain,
convergent_lines(sK1,sK0),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
( ( ~ distinct_lines(sK0,sK2)
| ~ distinct_lines(sK1,sK2) )
& convergent_lines(sK1,sK0)
& apart_point_and_line(intersection_point(sK1,sK0),sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f46,f47]) ).
fof(f47,plain,
( ? [X0,X1,X2] :
( ( ~ distinct_lines(X0,X2)
| ~ distinct_lines(X1,X2) )
& convergent_lines(X1,X0)
& apart_point_and_line(intersection_point(X1,X0),X2) )
=> ( ( ~ distinct_lines(sK0,sK2)
| ~ distinct_lines(sK1,sK2) )
& convergent_lines(sK1,sK0)
& apart_point_and_line(intersection_point(sK1,sK0),sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f46,plain,
? [X0,X1,X2] :
( ( ~ distinct_lines(X0,X2)
| ~ distinct_lines(X1,X2) )
& convergent_lines(X1,X0)
& apart_point_and_line(intersection_point(X1,X0),X2) ),
inference(rectify,[],[f31]) ).
fof(f31,plain,
? [X2,X0,X1] :
( ( ~ distinct_lines(X2,X1)
| ~ distinct_lines(X0,X1) )
& convergent_lines(X0,X2)
& apart_point_and_line(intersection_point(X0,X2),X1) ),
inference(flattening,[],[f30]) ).
fof(f30,plain,
? [X0,X2,X1] :
( ( ~ distinct_lines(X2,X1)
| ~ distinct_lines(X0,X1) )
& apart_point_and_line(intersection_point(X0,X2),X1)
& convergent_lines(X0,X2) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
~ ! [X0,X2,X1] :
( convergent_lines(X0,X2)
=> ( apart_point_and_line(intersection_point(X0,X2),X1)
=> ( distinct_lines(X2,X1)
& distinct_lines(X0,X1) ) ) ),
inference(rectify,[],[f16]) ).
fof(f16,negated_conjecture,
~ ! [X0,X2,X1] :
( convergent_lines(X0,X1)
=> ( apart_point_and_line(intersection_point(X0,X1),X2)
=> ( distinct_lines(X0,X2)
& distinct_lines(X1,X2) ) ) ),
inference(negated_conjecture,[],[f15]) ).
fof(f15,conjecture,
! [X0,X2,X1] :
( convergent_lines(X0,X1)
=> ( apart_point_and_line(intersection_point(X0,X1),X2)
=> ( distinct_lines(X0,X2)
& distinct_lines(X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f87,plain,
( ~ convergent_lines(sK1,sK0)
| ~ apart_point_and_line(sF3,sK0) ),
inference(superposition,[],[f67,f74]) ).
fof(f74,plain,
intersection_point(sK1,sK0) = sF3,
introduced(function_definition,[]) ).
fof(f67,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| ~ apart_point_and_line(intersection_point(X0,X1),X1) ),
inference(rectify,[],[f33]) ).
fof(f33,plain,
! [X1,X0] :
( ~ convergent_lines(X1,X0)
| ~ apart_point_and_line(intersection_point(X1,X0),X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
! [X1,X0] :
( convergent_lines(X1,X0)
=> ~ apart_point_and_line(intersection_point(X1,X0),X0) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X1,X0] :
( convergent_lines(X0,X1)
=> ~ apart_point_and_line(intersection_point(X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ci4) ).
fof(f106,plain,
! [X0] :
( apart_point_and_line(sF3,X0)
| distinct_lines(sK2,X0) ),
inference(resolution,[],[f69,f75]) ).
fof(f75,plain,
apart_point_and_line(sF3,sK2),
inference(definition_folding,[],[f58,f74]) ).
fof(f58,plain,
apart_point_and_line(intersection_point(sK1,sK0),sK2),
inference(cnf_transformation,[],[f48]) ).
fof(f69,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X2,X1)
| apart_point_and_line(X2,X0)
| distinct_lines(X1,X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X0)
| ~ apart_point_and_line(X2,X1)
| apart_point_and_line(X2,X0) ),
inference(rectify,[],[f27]) ).
fof(f27,plain,
! [X0,X2,X1] :
( distinct_lines(X2,X0)
| ~ apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X0) ),
inference(flattening,[],[f26]) ).
fof(f26,plain,
! [X1,X2,X0] :
( distinct_lines(X2,X0)
| apart_point_and_line(X1,X0)
| ~ apart_point_and_line(X1,X2) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,plain,
! [X1,X2,X0] :
( apart_point_and_line(X1,X2)
=> ( distinct_lines(X2,X0)
| apart_point_and_line(X1,X0) ) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X2,X0,X1] :
( apart_point_and_line(X0,X1)
=> ( distinct_lines(X1,X2)
| apart_point_and_line(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq2) ).
fof(f116,plain,
spl4_2,
inference(avatar_split_clause,[],[f114,f81]) ).
fof(f81,plain,
( spl4_2
<=> distinct_lines(sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f114,plain,
distinct_lines(sK1,sK2),
inference(resolution,[],[f112,f66]) ).
fof(f112,plain,
! [X0] :
( distinct_lines(sK2,X0)
| distinct_lines(sK1,X0) ),
inference(resolution,[],[f107,f63]) ).
fof(f107,plain,
distinct_lines(sK2,sK1),
inference(resolution,[],[f106,f86]) ).
fof(f86,plain,
~ apart_point_and_line(sF3,sK1),
inference(subsumption_resolution,[],[f85,f59]) ).
fof(f85,plain,
( ~ convergent_lines(sK1,sK0)
| ~ apart_point_and_line(sF3,sK1) ),
inference(superposition,[],[f61,f74]) ).
fof(f61,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X1,X0),X1)
| ~ convergent_lines(X1,X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X1,X0),X1)
| ~ convergent_lines(X1,X0) ),
inference(rectify,[],[f32]) ).
fof(f32,plain,
! [X1,X0] :
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X1,X0] :
( convergent_lines(X0,X1)
=> ~ apart_point_and_line(intersection_point(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ci3) ).
fof(f84,plain,
( ~ spl4_1
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f60,f81,f77]) ).
fof(f60,plain,
( ~ distinct_lines(sK1,sK2)
| ~ distinct_lines(sK0,sK2) ),
inference(cnf_transformation,[],[f48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO192+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n013.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 21:23:02 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.50 % (2093)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.50 % (2089)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.50 % (2077)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.50 % (2089)First to succeed.
% 0.19/0.50 % (2085)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 % (2077)Refutation not found, incomplete strategy% (2077)------------------------------
% 0.19/0.50 % (2077)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (2077)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (2077)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50
% 0.19/0.50 % (2077)Memory used [KB]: 5373
% 0.19/0.50 % (2077)Time elapsed: 0.102 s
% 0.19/0.50 % (2077)Instructions burned: 2 (million)
% 0.19/0.50 % (2077)------------------------------
% 0.19/0.50 % (2077)------------------------------
% 0.19/0.50 % (2076)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.50 % (2097)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.50 % (2081)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.50 TRYING [1]
% 0.19/0.50 TRYING [2]
% 0.19/0.51 TRYING [3]
% 0.19/0.51 % (2087)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.51 TRYING [1]
% 0.19/0.51 TRYING [4]
% 0.19/0.51 TRYING [2]
% 0.19/0.51 TRYING [3]
% 0.19/0.51 % (2081)Also succeeded, but the first one will report.
% 0.19/0.51 % (2090)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.51 % (2089)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Theorem for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (2089)------------------------------
% 0.19/0.51 % (2089)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (2089)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (2089)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (2089)Memory used [KB]: 5373
% 0.19/0.51 % (2089)Time elapsed: 0.111 s
% 0.19/0.51 % (2089)Instructions burned: 3 (million)
% 0.19/0.51 % (2089)------------------------------
% 0.19/0.51 % (2089)------------------------------
% 0.19/0.51 % (2073)Success in time 0.167 s
%------------------------------------------------------------------------------