TSTP Solution File: GEO248+3 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO248+3 : TPTP v8.1.0. Released v4.0.0.
% 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 : n019.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 16:12:27 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 29 ( 6 unt; 0 def)
% Number of atoms : 76 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 76 ( 29 ~; 21 |; 17 &)
% ( 4 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 53 ( 44 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f197,plain,
$false,
inference(subsumption_resolution,[],[f195,f145]) ).
fof(f145,plain,
! [X0,X1] : ~ left_apart_point(X0,reverse_line(X1)),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0,X1] :
( ~ left_apart_point(X0,X1)
& ~ left_apart_point(X0,reverse_line(X1)) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1] :
~ ( left_apart_point(X0,X1)
| left_apart_point(X0,reverse_line(X1)) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X2,X3] :
~ ( left_apart_point(X2,reverse_line(X3))
| left_apart_point(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10_basics) ).
fof(f195,plain,
left_apart_point(sK2,reverse_line(sK1)),
inference(resolution,[],[f194,f148]) ).
fof(f148,plain,
! [X0,X1] :
( ~ right_apart_point(X0,X1)
| left_apart_point(X0,reverse_line(X1)) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0,X1] :
( ( left_apart_point(X0,reverse_line(X1))
| ~ right_apart_point(X0,X1) )
& ( right_apart_point(X0,X1)
| ~ left_apart_point(X0,reverse_line(X1)) ) ),
inference(rectify,[],[f116]) ).
fof(f116,plain,
! [X1,X0] :
( ( left_apart_point(X1,reverse_line(X0))
| ~ right_apart_point(X1,X0) )
& ( right_apart_point(X1,X0)
| ~ left_apart_point(X1,reverse_line(X0)) ) ),
inference(nnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X1,X0] :
( left_apart_point(X1,reverse_line(X0))
<=> right_apart_point(X1,X0) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X0] :
( right_apart_point(X0,X1)
<=> left_apart_point(X0,reverse_line(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2_defns) ).
fof(f194,plain,
right_apart_point(sK2,sK1),
inference(subsumption_resolution,[],[f193,f146]) ).
fof(f146,plain,
! [X0,X1] : ~ left_apart_point(X0,X1),
inference(cnf_transformation,[],[f107]) ).
fof(f193,plain,
( left_apart_point(sK2,sK1)
| right_apart_point(sK2,sK1) ),
inference(resolution,[],[f132,f166]) ).
fof(f166,plain,
apart_point_and_line(sK2,sK1),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
( apart_point_and_line(sK2,sK1)
& ~ apart_point_and_line(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f124,f125]) ).
fof(f125,plain,
( ? [X0,X1,X2] :
( apart_point_and_line(X2,X1)
& ~ apart_point_and_line(X0,X1) )
=> ( apart_point_and_line(sK2,sK1)
& ~ apart_point_and_line(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f124,plain,
? [X0,X1,X2] :
( apart_point_and_line(X2,X1)
& ~ apart_point_and_line(X0,X1) ),
inference(rectify,[],[f92]) ).
fof(f92,plain,
? [X2,X1,X0] :
( apart_point_and_line(X0,X1)
& ~ apart_point_and_line(X2,X1) ),
inference(ennf_transformation,[],[f73]) ).
fof(f73,plain,
~ ! [X1,X2,X0] :
( apart_point_and_line(X0,X1)
=> apart_point_and_line(X2,X1) ),
inference(pure_predicate_removal,[],[f46]) ).
fof(f46,plain,
~ ! [X1,X2,X0] :
( ( apart_point_and_line(X0,X1)
& incident_point_and_line(X2,parallel_lines(X1,X0)) )
=> apart_point_and_line(X2,X1) ),
inference(rectify,[],[f38]) ).
fof(f38,negated_conjecture,
~ ! [X2,X3,X5] :
( ( incident_point_and_line(X5,parallel_lines(X3,X2))
& apart_point_and_line(X2,X3) )
=> apart_point_and_line(X5,X3) ),
inference(negated_conjecture,[],[f37]) ).
fof(f37,conjecture,
! [X2,X3,X5] :
( ( incident_point_and_line(X5,parallel_lines(X3,X2))
& apart_point_and_line(X2,X3) )
=> apart_point_and_line(X5,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f132,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,X0)
| left_apart_point(X1,X0)
| right_apart_point(X1,X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0,X1] :
( ( right_apart_point(X1,X0)
| left_apart_point(X1,X0)
| ~ apart_point_and_line(X1,X0) )
& ( apart_point_and_line(X1,X0)
| ( ~ right_apart_point(X1,X0)
& ~ left_apart_point(X1,X0) ) ) ),
inference(rectify,[],[f110]) ).
fof(f110,plain,
! [X1,X0] :
( ( right_apart_point(X0,X1)
| left_apart_point(X0,X1)
| ~ apart_point_and_line(X0,X1) )
& ( apart_point_and_line(X0,X1)
| ( ~ right_apart_point(X0,X1)
& ~ left_apart_point(X0,X1) ) ) ),
inference(flattening,[],[f109]) ).
fof(f109,plain,
! [X1,X0] :
( ( right_apart_point(X0,X1)
| left_apart_point(X0,X1)
| ~ apart_point_and_line(X0,X1) )
& ( apart_point_and_line(X0,X1)
| ( ~ right_apart_point(X0,X1)
& ~ left_apart_point(X0,X1) ) ) ),
inference(nnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X1,X0] :
( ( right_apart_point(X0,X1)
| left_apart_point(X0,X1) )
<=> apart_point_and_line(X0,X1) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X2,X3] :
( apart_point_and_line(X2,X3)
<=> ( right_apart_point(X2,X3)
| left_apart_point(X2,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a6_defns) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO248+3 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33 % Computer : n019.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 21:37:20 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (7119)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)
% 0.19/0.49 % (7147)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.50 % (7134)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)
% 0.19/0.50 % (7134)First to succeed.
% 0.19/0.50 % (7125)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.50 % (7124)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)
% 0.19/0.50 TRYING [1]
% 0.19/0.50 TRYING [2]
% 0.19/0.50 % (7124)Also succeeded, but the first one will report.
% 0.19/0.51 % (7134)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 % (7134)------------------------------
% 0.19/0.51 % (7134)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (7134)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (7134)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (7134)Memory used [KB]: 1023
% 0.19/0.51 % (7134)Time elapsed: 0.060 s
% 0.19/0.51 % (7134)Instructions burned: 3 (million)
% 0.19/0.51 % (7134)------------------------------
% 0.19/0.51 % (7134)------------------------------
% 0.19/0.51 % (7114)Success in time 0.163 s
%------------------------------------------------------------------------------