TSTP Solution File: GEO180+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO180+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 : n022.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 16:12:08 EDT 2022
% Result : Theorem 0.18s 0.48s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 9
% Syntax : Number of formulae : 57 ( 19 unt; 0 def)
% Number of atoms : 148 ( 2 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 136 ( 45 ~; 62 |; 14 &)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 97 ( 85 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f147,plain,
$false,
inference(subsumption_resolution,[],[f146,f79]) ).
fof(f79,plain,
~ apart_point_and_line(sK1,sF3),
inference(forward_demodulation,[],[f78,f72]) ).
fof(f72,plain,
sF3 = line_connecting(sK1,sK0),
introduced(function_definition,[]) ).
fof(f78,plain,
~ apart_point_and_line(sK1,line_connecting(sK1,sK0)),
inference(resolution,[],[f60,f57]) ).
fof(f57,plain,
distinct_points(sK1,sK0),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
( apart_point_and_line(sK2,line_connecting(sK1,sK0))
& distinct_points(sK1,sK0)
& ~ apart_point_and_line(sK1,line_connecting(sK2,sK0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f46,f47]) ).
fof(f47,plain,
( ? [X0,X1,X2] :
( apart_point_and_line(X2,line_connecting(X1,X0))
& distinct_points(X1,X0)
& ~ apart_point_and_line(X1,line_connecting(X2,X0)) )
=> ( apart_point_and_line(sK2,line_connecting(sK1,sK0))
& distinct_points(sK1,sK0)
& ~ apart_point_and_line(sK1,line_connecting(sK2,sK0)) ) ),
introduced(choice_axiom,[]) ).
fof(f46,plain,
? [X0,X1,X2] :
( apart_point_and_line(X2,line_connecting(X1,X0))
& distinct_points(X1,X0)
& ~ apart_point_and_line(X1,line_connecting(X2,X0)) ),
inference(rectify,[],[f43]) ).
fof(f43,plain,
? [X1,X2,X0] :
( apart_point_and_line(X0,line_connecting(X2,X1))
& distinct_points(X2,X1)
& ~ apart_point_and_line(X2,line_connecting(X0,X1)) ),
inference(flattening,[],[f42]) ).
fof(f42,plain,
? [X0,X2,X1] :
( ~ apart_point_and_line(X2,line_connecting(X0,X1))
& apart_point_and_line(X0,line_connecting(X2,X1))
& distinct_points(X2,X1) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
~ ! [X0,X2,X1] :
( distinct_points(X2,X1)
=> ( apart_point_and_line(X0,line_connecting(X2,X1))
=> apart_point_and_line(X2,line_connecting(X0,X1)) ) ),
inference(rectify,[],[f16]) ).
fof(f16,negated_conjecture,
~ ! [X2,X1,X0] :
( distinct_points(X0,X1)
=> ( apart_point_and_line(X2,line_connecting(X0,X1))
=> apart_point_and_line(X0,line_connecting(X2,X1)) ) ),
inference(negated_conjecture,[],[f15]) ).
fof(f15,conjecture,
! [X2,X1,X0] :
( distinct_points(X0,X1)
=> ( apart_point_and_line(X2,line_connecting(X0,X1))
=> apart_point_and_line(X0,line_connecting(X2,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f60,plain,
! [X0,X1] :
( ~ distinct_points(X0,X1)
| ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(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/sandbox2/benchmark/theBenchmark.p',ci1) ).
fof(f146,plain,
apart_point_and_line(sK1,sF3),
inference(subsumption_resolution,[],[f145,f77]) ).
fof(f77,plain,
~ apart_point_and_line(sK0,sF3),
inference(forward_demodulation,[],[f76,f72]) ).
fof(f76,plain,
~ apart_point_and_line(sK0,line_connecting(sK1,sK0)),
inference(resolution,[],[f55,f57]) ).
fof(f55,plain,
! [X0,X1] :
( ~ distinct_points(X0,X1)
| ~ apart_point_and_line(X1,line_connecting(X0,X1)) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X1,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ci2) ).
fof(f145,plain,
( apart_point_and_line(sK0,sF3)
| apart_point_and_line(sK1,sF3) ),
inference(subsumption_resolution,[],[f144,f112]) ).
fof(f112,plain,
~ apart_point_and_line(sK0,sF4),
inference(forward_demodulation,[],[f111,f74]) ).
fof(f74,plain,
sF4 = line_connecting(sK2,sK0),
introduced(function_definition,[]) ).
fof(f111,plain,
~ apart_point_and_line(sK0,line_connecting(sK2,sK0)),
inference(resolution,[],[f102,f55]) ).
fof(f102,plain,
distinct_points(sK2,sK0),
inference(resolution,[],[f93,f77]) ).
fof(f93,plain,
! [X0] :
( apart_point_and_line(X0,sF3)
| distinct_points(sK2,X0) ),
inference(resolution,[],[f64,f73]) ).
fof(f73,plain,
apart_point_and_line(sK2,sF3),
inference(definition_folding,[],[f58,f72]) ).
fof(f58,plain,
apart_point_and_line(sK2,line_connecting(sK1,sK0)),
inference(cnf_transformation,[],[f48]) ).
fof(f64,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X2,X0)
| apart_point_and_line(X1,X0)
| distinct_points(X2,X1) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1,X2] :
( apart_point_and_line(X1,X0)
| ~ apart_point_and_line(X2,X0)
| distinct_points(X2,X1) ),
inference(rectify,[],[f37]) ).
fof(f37,plain,
! [X0,X2,X1] :
( apart_point_and_line(X2,X0)
| ~ apart_point_and_line(X1,X0)
| distinct_points(X1,X2) ),
inference(flattening,[],[f36]) ).
fof(f36,plain,
! [X0,X1,X2] :
( apart_point_and_line(X2,X0)
| distinct_points(X1,X2)
| ~ apart_point_and_line(X1,X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1,X2] :
( apart_point_and_line(X1,X0)
=> ( apart_point_and_line(X2,X0)
| distinct_points(X1,X2) ) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X1,X0,X2] :
( apart_point_and_line(X0,X1)
=> ( apart_point_and_line(X2,X1)
| distinct_points(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq1) ).
fof(f144,plain,
( apart_point_and_line(sK0,sF4)
| apart_point_and_line(sK0,sF3)
| apart_point_and_line(sK1,sF3) ),
inference(subsumption_resolution,[],[f139,f75]) ).
fof(f75,plain,
~ apart_point_and_line(sK1,sF4),
inference(definition_folding,[],[f56,f74]) ).
fof(f56,plain,
~ apart_point_and_line(sK1,line_connecting(sK2,sK0)),
inference(cnf_transformation,[],[f48]) ).
fof(f139,plain,
( apart_point_and_line(sK1,sF4)
| apart_point_and_line(sK0,sF3)
| apart_point_and_line(sK1,sF3)
| apart_point_and_line(sK0,sF4) ),
inference(resolution,[],[f124,f119]) ).
fof(f119,plain,
distinct_lines(sF3,sF4),
inference(resolution,[],[f113,f80]) ).
fof(f80,plain,
! [X0] :
( apart_point_and_line(sK2,X0)
| distinct_lines(sF3,X0) ),
inference(resolution,[],[f59,f73]) ).
fof(f59,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X2,X1)
| apart_point_and_line(X2,X0)
| distinct_lines(X1,X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1,X2] :
( ~ apart_point_and_line(X2,X1)
| apart_point_and_line(X2,X0)
| distinct_lines(X1,X0) ),
inference(rectify,[],[f45]) ).
fof(f45,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X1,X0)
| apart_point_and_line(X1,X2)
| distinct_lines(X0,X2) ),
inference(flattening,[],[f44]) ).
fof(f44,plain,
! [X0,X1,X2] :
( apart_point_and_line(X1,X2)
| distinct_lines(X0,X2)
| ~ apart_point_and_line(X1,X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0,X1,X2] :
( apart_point_and_line(X1,X0)
=> ( apart_point_and_line(X1,X2)
| distinct_lines(X0,X2) ) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X1,X0,X2] :
( apart_point_and_line(X0,X1)
=> ( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq2) ).
fof(f113,plain,
~ apart_point_and_line(sK2,sF4),
inference(forward_demodulation,[],[f110,f74]) ).
fof(f110,plain,
~ apart_point_and_line(sK2,line_connecting(sK2,sK0)),
inference(resolution,[],[f102,f60]) ).
fof(f124,plain,
! [X0,X1] :
( ~ distinct_lines(X0,X1)
| apart_point_and_line(sK0,X1)
| apart_point_and_line(sK0,X0)
| apart_point_and_line(sK1,X0)
| apart_point_and_line(sK1,X1) ),
inference(resolution,[],[f70,f57]) ).
fof(f70,plain,
! [X2,X3,X0,X1] :
( ~ distinct_points(X0,X1)
| ~ distinct_lines(X3,X2)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X0,X2)
| apart_point_and_line(X1,X3)
| ~ distinct_points(X0,X1)
| ~ distinct_lines(X3,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X2) ),
inference(rectify,[],[f35]) ).
fof(f35,plain,
! [X0,X3,X1,X2] :
( apart_point_and_line(X0,X1)
| apart_point_and_line(X3,X2)
| ~ distinct_points(X0,X3)
| ~ distinct_lines(X2,X1)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X3,X1) ),
inference(flattening,[],[f34]) ).
fof(f34,plain,
! [X2,X3,X0,X1] :
( apart_point_and_line(X0,X1)
| apart_point_and_line(X3,X1)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X3,X2)
| ~ distinct_lines(X2,X1)
| ~ distinct_points(X0,X3) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
! [X2,X3,X0,X1] :
( ( distinct_lines(X2,X1)
& distinct_points(X0,X3) )
=> ( apart_point_and_line(X0,X1)
| apart_point_and_line(X3,X1)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X3,X2) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X0,X4,X3,X1] :
( ( distinct_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X0,X4)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cu1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GEO180+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % 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 : n022.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 21:25:56 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.47 % (13668)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.18/0.47 % (13659)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.18/0.47 % (13651)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.47 % (13659)First to succeed.
% 0.18/0.48 % (13653)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)
% 0.18/0.48 % (13659)Refutation found. Thanks to Tanya!
% 0.18/0.48 % SZS status Theorem for theBenchmark
% 0.18/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.48 % (13659)------------------------------
% 0.18/0.48 % (13659)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.48 % (13659)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.48 % (13659)Termination reason: Refutation
% 0.18/0.48
% 0.18/0.48 % (13659)Memory used [KB]: 1023
% 0.18/0.48 % (13659)Time elapsed: 0.063 s
% 0.18/0.48 % (13659)Instructions burned: 5 (million)
% 0.18/0.48 % (13659)------------------------------
% 0.18/0.48 % (13659)------------------------------
% 0.18/0.48 % (13640)Success in time 0.145 s
%------------------------------------------------------------------------------