TSTP Solution File: GEO257+3 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO257+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 : n004.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 16:12:29 EDT 2022
% Result : Theorem 0.20s 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 3 unt; 0 def)
% Number of atoms : 72 ( 0 equ)
% Maximal formula atoms : 14 ( 5 avg)
% Number of connectives : 71 ( 13 ~; 2 |; 49 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 43 ( 23 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f199,plain,
$false,
inference(resolution,[],[f161,f157]) ).
fof(f157,plain,
left_apart_point(sK1,sK4),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
( distinct_points(sK0,sK2)
& left_apart_point(sK1,sK4)
& incident_point_and_line(sK2,sK4)
& before_on_line(sK4,sK3,sK0)
& distinct_points(sK3,sK2)
& ~ before_on_line(sK4,sK3,sK2)
& before_on_line(sK4,sK0,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f121,f122]) ).
fof(f122,plain,
( ? [X0,X1,X2,X3,X4] :
( distinct_points(X0,X2)
& left_apart_point(X1,X4)
& incident_point_and_line(X2,X4)
& before_on_line(X4,X3,X0)
& distinct_points(X3,X2)
& ~ before_on_line(X4,X3,X2)
& before_on_line(X4,X0,X2) )
=> ( distinct_points(sK0,sK2)
& left_apart_point(sK1,sK4)
& incident_point_and_line(sK2,sK4)
& before_on_line(sK4,sK3,sK0)
& distinct_points(sK3,sK2)
& ~ before_on_line(sK4,sK3,sK2)
& before_on_line(sK4,sK0,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f121,plain,
? [X0,X1,X2,X3,X4] :
( distinct_points(X0,X2)
& left_apart_point(X1,X4)
& incident_point_and_line(X2,X4)
& before_on_line(X4,X3,X0)
& distinct_points(X3,X2)
& ~ before_on_line(X4,X3,X2)
& before_on_line(X4,X0,X2) ),
inference(rectify,[],[f87]) ).
fof(f87,plain,
? [X2,X3,X1,X0,X4] :
( distinct_points(X2,X1)
& left_apart_point(X3,X4)
& incident_point_and_line(X1,X4)
& before_on_line(X4,X0,X2)
& distinct_points(X0,X1)
& ~ before_on_line(X4,X0,X1)
& before_on_line(X4,X2,X1) ),
inference(flattening,[],[f86]) ).
fof(f86,plain,
? [X4,X1,X3,X2,X0] :
( ~ before_on_line(X4,X0,X1)
& before_on_line(X4,X2,X1)
& before_on_line(X4,X0,X2)
& distinct_points(X0,X1)
& distinct_points(X2,X1)
& left_apart_point(X3,X4)
& incident_point_and_line(X1,X4) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,plain,
~ ! [X4,X1,X3,X2,X0] :
( ( distinct_points(X0,X1)
& distinct_points(X2,X1)
& left_apart_point(X3,X4)
& incident_point_and_line(X1,X4) )
=> ( ( before_on_line(X4,X2,X1)
& before_on_line(X4,X0,X2) )
=> before_on_line(X4,X0,X1) ) ),
inference(rectify,[],[f38]) ).
fof(f38,negated_conjecture,
~ ! [X2,X6,X5,X8,X3] :
( ( incident_point_and_line(X6,X3)
& left_apart_point(X8,X3)
& distinct_points(X5,X6)
& distinct_points(X2,X6) )
=> ( ( before_on_line(X3,X2,X5)
& before_on_line(X3,X5,X6) )
=> before_on_line(X3,X2,X6) ) ),
inference(negated_conjecture,[],[f37]) ).
fof(f37,conjecture,
! [X2,X6,X5,X8,X3] :
( ( incident_point_and_line(X6,X3)
& left_apart_point(X8,X3)
& distinct_points(X5,X6)
& distinct_points(X2,X6) )
=> ( ( before_on_line(X3,X2,X5)
& before_on_line(X3,X5,X6) )
=> before_on_line(X3,X2,X6) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f161,plain,
! [X0,X1] : ~ left_apart_point(X1,X0),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0,X1] :
( ~ left_apart_point(X1,reverse_line(X0))
& ~ left_apart_point(X1,X0) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
~ ( left_apart_point(X1,X0)
| left_apart_point(X1,reverse_line(X0)) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X3,X2] :
~ ( left_apart_point(X2,X3)
| left_apart_point(X2,reverse_line(X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10_basics) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO257+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 : n004.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 22:15:49 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.48 % (19625)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.50 % (19650)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.50 % (19626)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)
% 0.20/0.50 % (19625)First to succeed.
% 0.20/0.50 % (19625)Refutation found. Thanks to Tanya!
% 0.20/0.50 % SZS status Theorem for theBenchmark
% 0.20/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50 % (19625)------------------------------
% 0.20/0.50 % (19625)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (19625)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (19625)Termination reason: Refutation
% 0.20/0.50
% 0.20/0.50 % (19625)Memory used [KB]: 1023
% 0.20/0.50 % (19625)Time elapsed: 0.101 s
% 0.20/0.50 % (19625)Instructions burned: 4 (million)
% 0.20/0.50 % (19625)------------------------------
% 0.20/0.50 % (19625)------------------------------
% 0.20/0.50 % (19620)Success in time 0.157 s
%------------------------------------------------------------------------------