TSTP Solution File: GEO174+3 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO174+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_uns --cores 0 -t %d %s
% Computer : n010.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 16:08:56 EDT 2022
% Result : Theorem 1.85s 0.60s
% Output : Refutation 1.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 39 ( 7 unt; 0 def)
% Number of atoms : 105 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 103 ( 37 ~; 31 |; 24 &)
% ( 2 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 61 ( 45 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f148,plain,
$false,
inference(avatar_sat_refutation,[],[f110,f140,f147]) ).
fof(f147,plain,
~ spl4_1,
inference(avatar_contradiction_clause,[],[f146]) ).
fof(f146,plain,
( $false
| ~ spl4_1 ),
inference(subsumption_resolution,[],[f141,f117]) ).
fof(f117,plain,
~ apart_point_and_line(sK0,line_connecting(sK0,sK3)),
inference(resolution,[],[f92,f101]) ).
fof(f101,plain,
! [X0,X1] :
( ~ distinct_points(X1,X0)
| ~ apart_point_and_line(X1,line_connecting(X1,X0)) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0,X1] :
( ~ distinct_points(X1,X0)
| ~ apart_point_and_line(X1,line_connecting(X1,X0)) ),
inference(rectify,[],[f55]) ).
fof(f55,plain,
! [X1,X0] :
( ~ distinct_points(X0,X1)
| ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X1,X0] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ci1) ).
fof(f92,plain,
distinct_points(sK0,sK3),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
( convergent_lines(sK1,sK2)
& distinct_points(sK0,sK3)
& ( apart_point_and_line(sK3,sK1)
| apart_point_and_line(sK0,sK1) )
& ~ distinct_lines(sK1,line_connecting(sK0,sK3)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f77,f78]) ).
fof(f78,plain,
( ? [X0,X1,X2,X3] :
( convergent_lines(X1,X2)
& distinct_points(X0,X3)
& ( apart_point_and_line(X3,X1)
| apart_point_and_line(X0,X1) )
& ~ distinct_lines(X1,line_connecting(X0,X3)) )
=> ( convergent_lines(sK1,sK2)
& distinct_points(sK0,sK3)
& ( apart_point_and_line(sK3,sK1)
| apart_point_and_line(sK0,sK1) )
& ~ distinct_lines(sK1,line_connecting(sK0,sK3)) ) ),
introduced(choice_axiom,[]) ).
fof(f77,plain,
? [X0,X1,X2,X3] :
( convergent_lines(X1,X2)
& distinct_points(X0,X3)
& ( apart_point_and_line(X3,X1)
| apart_point_and_line(X0,X1) )
& ~ distinct_lines(X1,line_connecting(X0,X3)) ),
inference(rectify,[],[f52]) ).
fof(f52,plain,
? [X3,X0,X2,X1] :
( convergent_lines(X0,X2)
& distinct_points(X3,X1)
& ( apart_point_and_line(X1,X0)
| apart_point_and_line(X3,X0) )
& ~ distinct_lines(X0,line_connecting(X3,X1)) ),
inference(flattening,[],[f51]) ).
fof(f51,plain,
? [X1,X3,X2,X0] :
( ~ distinct_lines(X0,line_connecting(X3,X1))
& ( apart_point_and_line(X1,X0)
| apart_point_and_line(X3,X0) )
& convergent_lines(X0,X2)
& distinct_points(X3,X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
~ ! [X1,X3,X2,X0] :
( ( ( apart_point_and_line(X1,X0)
| apart_point_and_line(X3,X0) )
& convergent_lines(X0,X2)
& distinct_points(X3,X1) )
=> distinct_lines(X0,line_connecting(X3,X1)) ),
inference(rectify,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X3,X1,X4,X0] :
( ( convergent_lines(X3,X4)
& ( apart_point_and_line(X1,X3)
| apart_point_and_line(X0,X3) )
& distinct_points(X0,X1) )
=> distinct_lines(X3,line_connecting(X0,X1)) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X3,X1,X4,X0] :
( ( convergent_lines(X3,X4)
& ( apart_point_and_line(X1,X3)
| apart_point_and_line(X0,X3) )
& distinct_points(X0,X1) )
=> distinct_lines(X3,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f141,plain,
( apart_point_and_line(sK0,line_connecting(sK0,sK3))
| ~ spl4_1 ),
inference(unit_resulting_resolution,[],[f90,f105,f84]) ).
fof(f84,plain,
! [X2,X0,X1] :
( distinct_lines(X2,X1)
| apart_point_and_line(X0,X1)
| ~ apart_point_and_line(X0,X2) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0,X1,X2] :
( distinct_lines(X2,X1)
| ~ apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1) ),
inference(flattening,[],[f68]) ).
fof(f68,plain,
! [X0,X1,X2] :
( distinct_lines(X2,X1)
| apart_point_and_line(X0,X1)
| ~ apart_point_and_line(X0,X2) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1,X2] :
( apart_point_and_line(X0,X2)
=> ( distinct_lines(X2,X1)
| apart_point_and_line(X0,X1) ) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X0,X2,X1] :
( apart_point_and_line(X0,X1)
=> ( distinct_lines(X1,X2)
| apart_point_and_line(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq2) ).
fof(f105,plain,
( apart_point_and_line(sK0,sK1)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f103,plain,
( spl4_1
<=> apart_point_and_line(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f90,plain,
~ distinct_lines(sK1,line_connecting(sK0,sK3)),
inference(cnf_transformation,[],[f79]) ).
fof(f140,plain,
~ spl4_2,
inference(avatar_contradiction_clause,[],[f139]) ).
fof(f139,plain,
( $false
| ~ spl4_2 ),
inference(subsumption_resolution,[],[f129,f111]) ).
fof(f111,plain,
~ apart_point_and_line(sK3,line_connecting(sK0,sK3)),
inference(unit_resulting_resolution,[],[f92,f87]) ).
fof(f87,plain,
! [X0,X1] :
( ~ distinct_points(X0,X1)
| ~ apart_point_and_line(X1,line_connecting(X0,X1)) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1] :
( ~ distinct_points(X0,X1)
| ~ apart_point_and_line(X1,line_connecting(X0,X1)) ),
inference(rectify,[],[f58]) ).
fof(f58,plain,
! [X1,X0] :
( ~ distinct_points(X1,X0)
| ~ apart_point_and_line(X0,line_connecting(X1,X0)) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,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(f129,plain,
( apart_point_and_line(sK3,line_connecting(sK0,sK3))
| ~ spl4_2 ),
inference(unit_resulting_resolution,[],[f109,f90,f84]) ).
fof(f109,plain,
( apart_point_and_line(sK3,sK1)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f107,plain,
( spl4_2
<=> apart_point_and_line(sK3,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f110,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f91,f107,f103]) ).
fof(f91,plain,
( apart_point_and_line(sK3,sK1)
| apart_point_and_line(sK0,sK1) ),
inference(cnf_transformation,[],[f79]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO174+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_uns --cores 0 -t %d %s
% 0.14/0.34 % Computer : n010.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 29 21:16:44 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.58 % (1983)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.59 % (1999)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.59 % (1983)First to succeed.
% 1.85/0.59 % (2000)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.85/0.59 % (1991)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.85/0.59 % (1984)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.85/0.60 % (1983)Refutation found. Thanks to Tanya!
% 1.85/0.60 % SZS status Theorem for theBenchmark
% 1.85/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 1.85/0.60 % (1983)------------------------------
% 1.85/0.60 % (1983)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.85/0.60 % (1983)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.85/0.60 % (1983)Termination reason: Refutation
% 1.85/0.60
% 1.85/0.60 % (1983)Memory used [KB]: 6012
% 1.85/0.60 % (1983)Time elapsed: 0.152 s
% 1.85/0.60 % (1983)Instructions burned: 2 (million)
% 1.85/0.60 % (1983)------------------------------
% 1.85/0.60 % (1983)------------------------------
% 1.85/0.60 % (1975)Success in time 0.246 s
%------------------------------------------------------------------------------