TSTP Solution File: GEO172+2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO172+2 : 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 : n017.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 16:12:05 EDT 2022
% Result : Theorem 0.20s 0.56s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 6
% Syntax : Number of formulae : 41 ( 9 unt; 0 def)
% Number of atoms : 139 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 170 ( 72 ~; 58 |; 29 &)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 82 ( 70 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f136,plain,
$false,
inference(resolution,[],[f135,f54]) ).
fof(f54,plain,
convergent_lines(sK1,sK0),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
( convergent_lines(sK1,sK0)
& distinct_points(sK2,intersection_point(sK1,sK0))
& ~ apart_point_and_line(sK2,sK0)
& ~ apart_point_and_line(sK2,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f41,f42]) ).
fof(f42,plain,
( ? [X0,X1,X2] :
( convergent_lines(X1,X0)
& distinct_points(X2,intersection_point(X1,X0))
& ~ apart_point_and_line(X2,X0)
& ~ apart_point_and_line(X2,X1) )
=> ( convergent_lines(sK1,sK0)
& distinct_points(sK2,intersection_point(sK1,sK0))
& ~ apart_point_and_line(sK2,sK0)
& ~ apart_point_and_line(sK2,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f41,plain,
? [X0,X1,X2] :
( convergent_lines(X1,X0)
& distinct_points(X2,intersection_point(X1,X0))
& ~ apart_point_and_line(X2,X0)
& ~ apart_point_and_line(X2,X1) ),
inference(rectify,[],[f35]) ).
fof(f35,plain,
? [X0,X2,X1] :
( convergent_lines(X2,X0)
& distinct_points(X1,intersection_point(X2,X0))
& ~ apart_point_and_line(X1,X0)
& ~ apart_point_and_line(X1,X2) ),
inference(flattening,[],[f34]) ).
fof(f34,plain,
? [X1,X0,X2] :
( distinct_points(X1,intersection_point(X2,X0))
& ~ apart_point_and_line(X1,X2)
& convergent_lines(X2,X0)
& ~ apart_point_and_line(X1,X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,plain,
~ ! [X1,X0,X2] :
( ( ~ apart_point_and_line(X1,X2)
& convergent_lines(X2,X0)
& ~ apart_point_and_line(X1,X0) )
=> ~ distinct_points(X1,intersection_point(X2,X0)) ),
inference(rectify,[],[f14]) ).
fof(f14,negated_conjecture,
~ ! [X1,X2,X0] :
( ( ~ 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,
! [X1,X2,X0] :
( ( ~ 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/sandbox/benchmark/theBenchmark.p',con) ).
fof(f135,plain,
~ convergent_lines(sK1,sK0),
inference(resolution,[],[f131,f50]) ).
fof(f50,plain,
! [X0,X1] :
( distinct_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| distinct_lines(X0,X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X1,X0] :
( convergent_lines(X0,X1)
=> distinct_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq3) ).
fof(f131,plain,
~ distinct_lines(sK1,sK0),
inference(resolution,[],[f122,f54]) ).
fof(f122,plain,
( ~ convergent_lines(sK1,sK0)
| ~ distinct_lines(sK1,sK0) ),
inference(resolution,[],[f121,f53]) ).
fof(f53,plain,
distinct_points(sK2,intersection_point(sK1,sK0)),
inference(cnf_transformation,[],[f43]) ).
fof(f121,plain,
( ~ distinct_points(sK2,intersection_point(sK1,sK0))
| ~ distinct_lines(sK1,sK0)
| ~ convergent_lines(sK1,sK0) ),
inference(duplicate_literal_removal,[],[f120]) ).
fof(f120,plain,
( ~ convergent_lines(sK1,sK0)
| ~ distinct_points(sK2,intersection_point(sK1,sK0))
| ~ convergent_lines(sK1,sK0)
| ~ distinct_lines(sK1,sK0) ),
inference(resolution,[],[f87,f72]) ).
fof(f72,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(resolution,[],[f48,f61]) ).
fof(f61,plain,
! [X0] : ~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : ~ distinct_points(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart1) ).
fof(f48,plain,
! [X2,X0,X1] :
( distinct_points(X2,intersection_point(X0,X1))
| ~ apart_point_and_line(X2,X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1,X2] :
( ~ convergent_lines(X0,X1)
| ( ~ apart_point_and_line(X2,X0)
& ~ apart_point_and_line(X2,X1) )
| distinct_points(X2,intersection_point(X0,X1)) ),
inference(rectify,[],[f37]) ).
fof(f37,plain,
! [X2,X1,X0] :
( ~ convergent_lines(X2,X1)
| ( ~ apart_point_and_line(X0,X2)
& ~ apart_point_and_line(X0,X1) )
| distinct_points(X0,intersection_point(X2,X1)) ),
inference(flattening,[],[f36]) ).
fof(f36,plain,
! [X0,X1,X2] :
( distinct_points(X0,intersection_point(X2,X1))
| ( ~ apart_point_and_line(X0,X2)
& ~ apart_point_and_line(X0,X1) )
| ~ convergent_lines(X2,X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0,X1,X2] :
( convergent_lines(X2,X1)
=> ( ( apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X2) )
=> distinct_points(X0,intersection_point(X2,X1)) ) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X2,X1,X0] :
( convergent_lines(X0,X1)
=> ( ( apart_point_and_line(X2,X0)
| apart_point_and_line(X2,X1) )
=> distinct_points(X2,intersection_point(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con2) ).
fof(f87,plain,
! [X1] :
( apart_point_and_line(intersection_point(sK1,X1),sK0)
| ~ distinct_lines(sK1,sK0)
| ~ convergent_lines(sK1,X1)
| ~ distinct_points(sK2,intersection_point(sK1,X1)) ),
inference(resolution,[],[f82,f73]) ).
fof(f73,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(resolution,[],[f49,f61]) ).
fof(f49,plain,
! [X2,X0,X1] :
( distinct_points(X2,intersection_point(X0,X1))
| ~ convergent_lines(X0,X1)
| ~ apart_point_and_line(X2,X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f82,plain,
! [X1] :
( apart_point_and_line(X1,sK1)
| ~ distinct_points(sK2,X1)
| apart_point_and_line(X1,sK0)
| ~ distinct_lines(sK1,sK0) ),
inference(resolution,[],[f76,f52]) ).
fof(f52,plain,
~ apart_point_and_line(sK2,sK0),
inference(cnf_transformation,[],[f43]) ).
fof(f76,plain,
! [X0,X1] :
( apart_point_and_line(sK2,X0)
| apart_point_and_line(X1,sK1)
| apart_point_and_line(X1,X0)
| ~ distinct_lines(sK1,X0)
| ~ distinct_points(sK2,X1) ),
inference(resolution,[],[f62,f51]) ).
fof(f51,plain,
~ apart_point_and_line(sK2,sK1),
inference(cnf_transformation,[],[f43]) ).
fof(f62,plain,
! [X2,X3,X0,X1] :
( apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X2)
| ~ distinct_points(X0,X3)
| ~ distinct_lines(X1,X2)
| apart_point_and_line(X3,X2)
| apart_point_and_line(X3,X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1,X2,X3] :
( ~ distinct_points(X0,X3)
| apart_point_and_line(X3,X1)
| apart_point_and_line(X3,X2)
| ~ distinct_lines(X1,X2)
| apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X2) ),
inference(rectify,[],[f39]) ).
fof(f39,plain,
! [X0,X2,X1,X3] :
( ~ distinct_points(X0,X3)
| apart_point_and_line(X3,X2)
| apart_point_and_line(X3,X1)
| ~ distinct_lines(X2,X1)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1) ),
inference(flattening,[],[f38]) ).
fof(f38,plain,
! [X3,X2,X0,X1] :
( apart_point_and_line(X3,X2)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X3,X1)
| apart_point_and_line(X0,X1)
| ~ distinct_lines(X2,X1)
| ~ distinct_points(X0,X3) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,plain,
! [X3,X2,X0,X1] :
( ( distinct_lines(X2,X1)
& distinct_points(X0,X3) )
=> ( apart_point_and_line(X3,X2)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X3,X1)
| apart_point_and_line(X0,X1) ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X0,X4,X3,X1] :
( ( distinct_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X1,X3)
| apart_point_and_line(X0,X4)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cu1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO172+2 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 20:47:50 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.53 % (21165)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)
% 0.20/0.53 % (21156)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)
% 0.20/0.55 % (21164)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.55 TRYING [1]
% 0.20/0.55 TRYING [2]
% 0.20/0.55 TRYING [3]
% 0.20/0.55 TRYING [4]
% 0.20/0.56 % (21166)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.56 TRYING [5]
% 0.20/0.56 % (21165)First to succeed.
% 0.20/0.56 % (21172)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.56 % (21169)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.56 % (21165)Refutation found. Thanks to Tanya!
% 0.20/0.56 % SZS status Theorem for theBenchmark
% 0.20/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.56 % (21165)------------------------------
% 0.20/0.56 % (21165)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (21165)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (21165)Termination reason: Refutation
% 0.20/0.56
% 0.20/0.56 % (21165)Memory used [KB]: 895
% 0.20/0.56 % (21165)Time elapsed: 0.133 s
% 0.20/0.56 % (21165)Instructions burned: 3 (million)
% 0.20/0.56 % (21165)------------------------------
% 0.20/0.56 % (21165)------------------------------
% 0.20/0.56 % (21155)Success in time 0.21 s
%------------------------------------------------------------------------------