TSTP Solution File: GEO183+2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO183+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 : n028.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 16:12:09 EDT 2022
% Result : Theorem 0.18s 0.46s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 6
% Syntax : Number of formulae : 39 ( 9 unt; 0 def)
% Number of atoms : 118 ( 1 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 120 ( 41 ~; 40 |; 31 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 72 ( 56 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f147,plain,
$false,
inference(subsumption_resolution,[],[f146,f69]) ).
fof(f69,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(f146,plain,
distinct_points(sK0,sK0),
inference(subsumption_resolution,[],[f144,f72]) ).
fof(f72,plain,
~ distinct_lines(sK2,sF4),
inference(definition_folding,[],[f61,f71]) ).
fof(f71,plain,
sF4 = line_connecting(sK0,sK3),
introduced(function_definition,[]) ).
fof(f61,plain,
~ distinct_lines(sK2,line_connecting(sK0,sK3)),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
( ( apart_point_and_line(sK3,sK2)
| apart_point_and_line(sK0,sK2) )
& convergent_lines(sK2,sK1)
& distinct_points(sK0,sK3)
& ~ distinct_lines(sK2,line_connecting(sK0,sK3)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f46,f47]) ).
fof(f47,plain,
( ? [X0,X1,X2,X3] :
( ( apart_point_and_line(X3,X2)
| apart_point_and_line(X0,X2) )
& convergent_lines(X2,X1)
& distinct_points(X0,X3)
& ~ distinct_lines(X2,line_connecting(X0,X3)) )
=> ( ( apart_point_and_line(sK3,sK2)
| apart_point_and_line(sK0,sK2) )
& convergent_lines(sK2,sK1)
& distinct_points(sK0,sK3)
& ~ distinct_lines(sK2,line_connecting(sK0,sK3)) ) ),
introduced(choice_axiom,[]) ).
fof(f46,plain,
? [X0,X1,X2,X3] :
( ( apart_point_and_line(X3,X2)
| apart_point_and_line(X0,X2) )
& convergent_lines(X2,X1)
& distinct_points(X0,X3)
& ~ distinct_lines(X2,line_connecting(X0,X3)) ),
inference(rectify,[],[f28]) ).
fof(f28,plain,
? [X2,X1,X0,X3] :
( ( apart_point_and_line(X3,X0)
| apart_point_and_line(X2,X0) )
& convergent_lines(X0,X1)
& distinct_points(X2,X3)
& ~ distinct_lines(X0,line_connecting(X2,X3)) ),
inference(flattening,[],[f27]) ).
fof(f27,plain,
? [X1,X0,X3,X2] :
( ( apart_point_and_line(X3,X0)
| apart_point_and_line(X2,X0) )
& ~ distinct_lines(X0,line_connecting(X2,X3))
& distinct_points(X2,X3)
& convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
~ ! [X1,X0,X3,X2] :
( ( ~ distinct_lines(X0,line_connecting(X2,X3))
& distinct_points(X2,X3)
& convergent_lines(X0,X1) )
=> ( ~ apart_point_and_line(X3,X0)
& ~ apart_point_and_line(X2,X0) ) ),
inference(rectify,[],[f14]) ).
fof(f14,negated_conjecture,
~ ! [X3,X4,X0,X1] :
( ( distinct_points(X0,X1)
& ~ distinct_lines(X3,line_connecting(X0,X1))
& convergent_lines(X3,X4) )
=> ( ~ apart_point_and_line(X1,X3)
& ~ apart_point_and_line(X0,X3) ) ),
inference(negated_conjecture,[],[f13]) ).
fof(f13,conjecture,
! [X3,X4,X0,X1] :
( ( distinct_points(X0,X1)
& ~ distinct_lines(X3,line_connecting(X0,X1))
& convergent_lines(X3,X4) )
=> ( ~ apart_point_and_line(X1,X3)
& ~ apart_point_and_line(X0,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f144,plain,
( distinct_lines(sK2,sF4)
| distinct_points(sK0,sK0) ),
inference(resolution,[],[f138,f118]) ).
fof(f118,plain,
! [X0] :
( ~ apart_point_and_line(X0,sF4)
| distinct_points(X0,sK0) ),
inference(subsumption_resolution,[],[f117,f62]) ).
fof(f62,plain,
distinct_points(sK0,sK3),
inference(cnf_transformation,[],[f48]) ).
fof(f117,plain,
! [X0] :
( ~ distinct_points(sK0,sK3)
| distinct_points(X0,sK0)
| ~ apart_point_and_line(X0,sF4) ),
inference(superposition,[],[f60,f71]) ).
fof(f60,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X2,line_connecting(X1,X0))
| ~ distinct_points(X1,X0)
| distinct_points(X2,X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0,X1,X2] :
( ( distinct_points(X2,X1)
& distinct_points(X2,X0) )
| ~ distinct_points(X1,X0)
| ~ apart_point_and_line(X2,line_connecting(X1,X0)) ),
inference(rectify,[],[f25]) ).
fof(f25,plain,
! [X1,X0,X2] :
( ( distinct_points(X2,X0)
& distinct_points(X2,X1) )
| ~ distinct_points(X0,X1)
| ~ apart_point_and_line(X2,line_connecting(X0,X1)) ),
inference(flattening,[],[f24]) ).
fof(f24,plain,
! [X0,X2,X1] :
( ( distinct_points(X2,X0)
& distinct_points(X2,X1) )
| ~ apart_point_and_line(X2,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X2,X1] :
( distinct_points(X0,X1)
=> ( apart_point_and_line(X2,line_connecting(X0,X1))
=> ( distinct_points(X2,X0)
& distinct_points(X2,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con1) ).
fof(f138,plain,
! [X0] :
( apart_point_and_line(sK0,X0)
| distinct_lines(sK2,X0) ),
inference(resolution,[],[f137,f66]) ).
fof(f66,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X2)
| distinct_lines(X1,X2) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1,X2] :
( ~ apart_point_and_line(X0,X1)
| distinct_lines(X1,X2)
| apart_point_and_line(X0,X2) ),
inference(rectify,[],[f38]) ).
fof(f38,plain,
! [X2,X1,X0] :
( ~ apart_point_and_line(X2,X1)
| distinct_lines(X1,X0)
| apart_point_and_line(X2,X0) ),
inference(flattening,[],[f37]) ).
fof(f37,plain,
! [X2,X0,X1] :
( apart_point_and_line(X2,X0)
| distinct_lines(X1,X0)
| ~ apart_point_and_line(X2,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,plain,
! [X2,X0,X1] :
( apart_point_and_line(X2,X1)
=> ( apart_point_and_line(X2,X0)
| distinct_lines(X1,X0) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X2,X1,X0] :
( apart_point_and_line(X0,X1)
=> ( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq2) ).
fof(f137,plain,
apart_point_and_line(sK0,sK2),
inference(subsumption_resolution,[],[f136,f69]) ).
fof(f136,plain,
( distinct_points(sK3,sK3)
| apart_point_and_line(sK0,sK2) ),
inference(subsumption_resolution,[],[f135,f72]) ).
fof(f135,plain,
( distinct_lines(sK2,sF4)
| distinct_points(sK3,sK3)
| apart_point_and_line(sK0,sK2) ),
inference(resolution,[],[f90,f115]) ).
fof(f115,plain,
! [X0] :
( ~ apart_point_and_line(X0,sF4)
| distinct_points(X0,sK3) ),
inference(subsumption_resolution,[],[f114,f62]) ).
fof(f114,plain,
! [X0] :
( ~ distinct_points(sK0,sK3)
| distinct_points(X0,sK3)
| ~ apart_point_and_line(X0,sF4) ),
inference(superposition,[],[f59,f71]) ).
fof(f59,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X2,line_connecting(X1,X0))
| ~ distinct_points(X1,X0)
| distinct_points(X2,X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f90,plain,
! [X0] :
( apart_point_and_line(sK3,X0)
| apart_point_and_line(sK0,sK2)
| distinct_lines(sK2,X0) ),
inference(resolution,[],[f66,f64]) ).
fof(f64,plain,
( apart_point_and_line(sK3,sK2)
| apart_point_and_line(sK0,sK2) ),
inference(cnf_transformation,[],[f48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO183+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 29 21:34:32 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.18/0.45 % (28401)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 (3000ds/467Mi)
% 0.18/0.45 % (28393)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 (3000ds/75Mi)
% 0.18/0.46 % (28393)First to succeed.
% 0.18/0.46 % (28385)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.18/0.46 % (28393)Refutation found. Thanks to Tanya!
% 0.18/0.46 % SZS status Theorem for theBenchmark
% 0.18/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.46 % (28393)------------------------------
% 0.18/0.46 % (28393)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.46 % (28393)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.46 % (28393)Termination reason: Refutation
% 0.18/0.46
% 0.18/0.46 % (28393)Memory used [KB]: 1023
% 0.18/0.46 % (28393)Time elapsed: 0.049 s
% 0.18/0.46 % (28393)Instructions burned: 5 (million)
% 0.18/0.46 % (28393)------------------------------
% 0.18/0.46 % (28393)------------------------------
% 0.18/0.46 % (28376)Success in time 0.127 s
%------------------------------------------------------------------------------