TSTP Solution File: GEO173+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO173+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 : n021.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 1.63s 0.58s
% Output : Refutation 1.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 5
% Syntax : Number of formulae : 33 ( 6 unt; 0 def)
% Number of atoms : 122 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 140 ( 51 ~; 48 |; 32 &)
% ( 0 <=>; 9 =>; 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 : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 72 ( 56 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f122,plain,
$false,
inference(resolution,[],[f112,f60]) ).
fof(f60,plain,
distinct_points(sK3,sK0),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
( ~ apart_point_and_line(sK0,sK1)
& distinct_lines(sK1,line_connecting(sK3,sK0))
& convergent_lines(sK1,sK2)
& distinct_points(sK3,sK0)
& ~ apart_point_and_line(sK3,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f49,f50]) ).
fof(f50,plain,
( ? [X0,X1,X2,X3] :
( ~ apart_point_and_line(X0,X1)
& distinct_lines(X1,line_connecting(X3,X0))
& convergent_lines(X1,X2)
& distinct_points(X3,X0)
& ~ apart_point_and_line(X3,X1) )
=> ( ~ apart_point_and_line(sK0,sK1)
& distinct_lines(sK1,line_connecting(sK3,sK0))
& convergent_lines(sK1,sK2)
& distinct_points(sK3,sK0)
& ~ apart_point_and_line(sK3,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
? [X0,X1,X2,X3] :
( ~ apart_point_and_line(X0,X1)
& distinct_lines(X1,line_connecting(X3,X0))
& convergent_lines(X1,X2)
& distinct_points(X3,X0)
& ~ apart_point_and_line(X3,X1) ),
inference(rectify,[],[f36]) ).
fof(f36,plain,
? [X0,X3,X1,X2] :
( ~ apart_point_and_line(X0,X3)
& distinct_lines(X3,line_connecting(X2,X0))
& convergent_lines(X3,X1)
& distinct_points(X2,X0)
& ~ apart_point_and_line(X2,X3) ),
inference(flattening,[],[f35]) ).
fof(f35,plain,
? [X1,X0,X3,X2] :
( ~ apart_point_and_line(X0,X3)
& ~ apart_point_and_line(X2,X3)
& distinct_lines(X3,line_connecting(X2,X0))
& distinct_points(X2,X0)
& convergent_lines(X3,X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
~ ! [X1,X0,X3,X2] :
( ( distinct_lines(X3,line_connecting(X2,X0))
& distinct_points(X2,X0)
& convergent_lines(X3,X1) )
=> ( apart_point_and_line(X0,X3)
| apart_point_and_line(X2,X3) ) ),
inference(rectify,[],[f16]) ).
fof(f16,negated_conjecture,
~ ! [X1,X4,X0,X3] :
( ( distinct_points(X0,X1)
& convergent_lines(X3,X4)
& distinct_lines(X3,line_connecting(X0,X1)) )
=> ( apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X3) ) ),
inference(negated_conjecture,[],[f15]) ).
fof(f15,conjecture,
! [X1,X4,X0,X3] :
( ( distinct_points(X0,X1)
& convergent_lines(X3,X4)
& distinct_lines(X3,line_connecting(X0,X1)) )
=> ( apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f112,plain,
~ distinct_points(sK3,sK0),
inference(resolution,[],[f111,f62]) ).
fof(f62,plain,
distinct_lines(sK1,line_connecting(sK3,sK0)),
inference(cnf_transformation,[],[f51]) ).
fof(f111,plain,
( ~ distinct_lines(sK1,line_connecting(sK3,sK0))
| ~ distinct_points(sK3,sK0) ),
inference(duplicate_literal_removal,[],[f110]) ).
fof(f110,plain,
( ~ distinct_points(sK3,sK0)
| ~ distinct_lines(sK1,line_connecting(sK3,sK0))
| ~ distinct_points(sK3,sK0)
| ~ distinct_points(sK3,sK0) ),
inference(resolution,[],[f101,f72]) ).
fof(f72,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X1,X0))
| ~ distinct_points(X1,X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X1,X0))
| ~ distinct_points(X1,X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,plain,
! [X1,X0] :
( distinct_points(X1,X0)
=> ~ apart_point_and_line(X0,line_connecting(X1,X0)) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X1,X0] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X1,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ci2) ).
fof(f101,plain,
! [X0] :
( apart_point_and_line(sK0,line_connecting(sK3,X0))
| ~ distinct_points(sK3,sK0)
| ~ distinct_lines(sK1,line_connecting(sK3,X0))
| ~ distinct_points(sK3,X0) ),
inference(resolution,[],[f96,f67]) ).
fof(f67,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X1,X0))
| ~ distinct_points(X1,X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X1] :
( ~ distinct_points(X1,X0)
| ~ apart_point_and_line(X1,line_connecting(X1,X0)) ),
inference(rectify,[],[f34]) ).
fof(f34,plain,
! [X1,X0] :
( ~ distinct_points(X0,X1)
| ~ apart_point_and_line(X0,line_connecting(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(f96,plain,
! [X0] :
( apart_point_and_line(sK3,X0)
| ~ distinct_lines(sK1,X0)
| apart_point_and_line(sK0,X0)
| ~ distinct_points(sK3,sK0) ),
inference(resolution,[],[f88,f59]) ).
fof(f59,plain,
~ apart_point_and_line(sK3,sK1),
inference(cnf_transformation,[],[f51]) ).
fof(f88,plain,
! [X18,X19] :
( apart_point_and_line(X19,sK1)
| ~ distinct_lines(sK1,X18)
| ~ distinct_points(X19,sK0)
| apart_point_and_line(sK0,X18)
| apart_point_and_line(X19,X18) ),
inference(resolution,[],[f58,f63]) ).
fof(f63,plain,
~ apart_point_and_line(sK0,sK1),
inference(cnf_transformation,[],[f51]) ).
fof(f58,plain,
! [X2,X3,X0,X1] :
( apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X0,X2)
| ~ distinct_points(X0,X1)
| apart_point_and_line(X0,X3)
| ~ distinct_lines(X2,X3) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1,X2,X3] :
( ~ distinct_points(X0,X1)
| apart_point_and_line(X1,X2)
| ~ distinct_lines(X2,X3)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X3) ),
inference(rectify,[],[f45]) ).
fof(f45,plain,
! [X2,X3,X1,X0] :
( ~ distinct_points(X2,X3)
| apart_point_and_line(X3,X1)
| ~ distinct_lines(X1,X0)
| apart_point_and_line(X2,X1)
| apart_point_and_line(X2,X0)
| apart_point_and_line(X3,X0) ),
inference(flattening,[],[f44]) ).
fof(f44,plain,
! [X2,X3,X0,X1] :
( apart_point_and_line(X3,X1)
| apart_point_and_line(X2,X0)
| apart_point_and_line(X3,X0)
| apart_point_and_line(X2,X1)
| ~ distinct_points(X2,X3)
| ~ distinct_lines(X1,X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
! [X2,X3,X0,X1] :
( ( distinct_points(X2,X3)
& distinct_lines(X1,X0) )
=> ( apart_point_and_line(X3,X1)
| apart_point_and_line(X2,X0)
| apart_point_and_line(X3,X0)
| apart_point_and_line(X2,X1) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X4,X3,X0,X1] :
( ( distinct_points(X0,X1)
& distinct_lines(X3,X4) )
=> ( apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X4)
| apart_point_and_line(X1,X4)
| apart_point_and_line(X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cu1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO173+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 29 21:20:10 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.54 % (32350)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)
% 0.20/0.55 % (32342)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.56 % (32348)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)
% 0.20/0.56 % (32348)First to succeed.
% 0.20/0.57 % (32340)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)
% 0.20/0.58 % (32340)Refutation not found, incomplete strategy% (32340)------------------------------
% 0.20/0.58 % (32340)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (32340)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (32340)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.58
% 0.20/0.58 % (32340)Memory used [KB]: 5373
% 0.20/0.58 % (32340)Time elapsed: 0.151 s
% 0.20/0.58 % (32340)Instructions burned: 2 (million)
% 0.20/0.58 % (32340)------------------------------
% 0.20/0.58 % (32340)------------------------------
% 0.20/0.58 % (32345)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.58 TRYING [1]
% 0.20/0.58 TRYING [2]
% 1.63/0.58 TRYING [3]
% 1.63/0.58 % (32348)Refutation found. Thanks to Tanya!
% 1.63/0.58 % SZS status Theorem for theBenchmark
% 1.63/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.63/0.58 % (32348)------------------------------
% 1.63/0.58 % (32348)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.58 % (32348)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.58 % (32348)Termination reason: Refutation
% 1.63/0.58
% 1.63/0.58 % (32348)Memory used [KB]: 1023
% 1.63/0.58 % (32348)Time elapsed: 0.134 s
% 1.63/0.58 % (32348)Instructions burned: 4 (million)
% 1.63/0.58 % (32348)------------------------------
% 1.63/0.58 % (32348)------------------------------
% 1.63/0.58 % (32338)Success in time 0.23 s
%------------------------------------------------------------------------------