TSTP Solution File: GEO237+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO237+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 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 : n001.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 16:12:25 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 21 ( 4 unt; 0 def)
% Number of atoms : 89 ( 0 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 104 ( 36 ~; 24 |; 35 &)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 58 ( 42 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f184,plain,
$false,
inference(resolution,[],[f183,f130]) ).
fof(f130,plain,
divides_points(sK2,sK1,sK3),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
( divides_points(sK2,sK1,sK3)
& apart_point_and_line(sK0,sK2)
& ~ divides_points(sK2,sK1,sK0)
& ~ divides_points(sK2,sK3,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f102,f103]) ).
fof(f103,plain,
( ? [X0,X1,X2,X3] :
( divides_points(X2,X1,X3)
& apart_point_and_line(X0,X2)
& ~ divides_points(X2,X1,X0)
& ~ divides_points(X2,X3,X0) )
=> ( divides_points(sK2,sK1,sK3)
& apart_point_and_line(sK0,sK2)
& ~ divides_points(sK2,sK1,sK0)
& ~ divides_points(sK2,sK3,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f102,plain,
? [X0,X1,X2,X3] :
( divides_points(X2,X1,X3)
& apart_point_and_line(X0,X2)
& ~ divides_points(X2,X1,X0)
& ~ divides_points(X2,X3,X0) ),
inference(rectify,[],[f65]) ).
fof(f65,plain,
? [X1,X2,X3,X0] :
( divides_points(X3,X2,X0)
& apart_point_and_line(X1,X3)
& ~ divides_points(X3,X2,X1)
& ~ divides_points(X3,X0,X1) ),
inference(flattening,[],[f64]) ).
fof(f64,plain,
? [X0,X1,X3,X2] :
( ~ divides_points(X3,X0,X1)
& ~ divides_points(X3,X2,X1)
& divides_points(X3,X2,X0)
& apart_point_and_line(X1,X3) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,plain,
~ ! [X0,X1,X3,X2] :
( apart_point_and_line(X1,X3)
=> ( divides_points(X3,X2,X0)
=> ( divides_points(X3,X0,X1)
| divides_points(X3,X2,X1) ) ) ),
inference(rectify,[],[f33]) ).
fof(f33,negated_conjecture,
~ ! [X3,X4,X0,X1] :
( apart_point_and_line(X4,X1)
=> ( divides_points(X1,X0,X3)
=> ( divides_points(X1,X3,X4)
| divides_points(X1,X0,X4) ) ) ),
inference(negated_conjecture,[],[f32]) ).
fof(f32,conjecture,
! [X3,X4,X0,X1] :
( apart_point_and_line(X4,X1)
=> ( divides_points(X1,X0,X3)
=> ( divides_points(X1,X3,X4)
| divides_points(X1,X0,X4) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f183,plain,
! [X2,X0,X1] : ~ divides_points(X2,X0,X1),
inference(subsumption_resolution,[],[f182,f146]) ).
fof(f146,plain,
! [X0,X1] : ~ left_apart_point(X0,X1),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0,X1] :
( ~ left_apart_point(X0,reverse_line(X1))
& ~ left_apart_point(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X1,X0] :
~ ( left_apart_point(X0,X1)
| left_apart_point(X0,reverse_line(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',oag10) ).
fof(f182,plain,
! [X2,X0,X1] :
( ~ divides_points(X2,X0,X1)
| left_apart_point(X0,reverse_line(X2)) ),
inference(subsumption_resolution,[],[f123,f146]) ).
fof(f123,plain,
! [X2,X0,X1] :
( left_apart_point(X0,X2)
| ~ divides_points(X2,X0,X1)
| left_apart_point(X0,reverse_line(X2)) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0,X1,X2] :
( ( ( left_apart_point(X0,reverse_line(X2))
& left_apart_point(X1,X2) )
| ( left_apart_point(X1,reverse_line(X2))
& left_apart_point(X0,X2) )
| ~ divides_points(X2,X0,X1) )
& ( divides_points(X2,X0,X1)
| ( ( ~ left_apart_point(X0,reverse_line(X2))
| ~ left_apart_point(X1,X2) )
& ( ~ left_apart_point(X1,reverse_line(X2))
| ~ left_apart_point(X0,X2) ) ) ) ),
inference(rectify,[],[f100]) ).
fof(f100,plain,
! [X1,X0,X2] :
( ( ( left_apart_point(X1,reverse_line(X2))
& left_apart_point(X0,X2) )
| ( left_apart_point(X0,reverse_line(X2))
& left_apart_point(X1,X2) )
| ~ divides_points(X2,X1,X0) )
& ( divides_points(X2,X1,X0)
| ( ( ~ left_apart_point(X1,reverse_line(X2))
| ~ left_apart_point(X0,X2) )
& ( ~ left_apart_point(X0,reverse_line(X2))
| ~ left_apart_point(X1,X2) ) ) ) ),
inference(flattening,[],[f99]) ).
fof(f99,plain,
! [X1,X0,X2] :
( ( ( left_apart_point(X1,reverse_line(X2))
& left_apart_point(X0,X2) )
| ( left_apart_point(X0,reverse_line(X2))
& left_apart_point(X1,X2) )
| ~ divides_points(X2,X1,X0) )
& ( divides_points(X2,X1,X0)
| ( ( ~ left_apart_point(X1,reverse_line(X2))
| ~ left_apart_point(X0,X2) )
& ( ~ left_apart_point(X0,reverse_line(X2))
| ~ left_apart_point(X1,X2) ) ) ) ),
inference(nnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X1,X0,X2] :
( ( ( left_apart_point(X1,reverse_line(X2))
& left_apart_point(X0,X2) )
| ( left_apart_point(X0,reverse_line(X2))
& left_apart_point(X1,X2) ) )
<=> divides_points(X2,X1,X0) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X3,X0,X1] :
( ( ( left_apart_point(X0,reverse_line(X1))
& left_apart_point(X3,X1) )
| ( left_apart_point(X0,X1)
& left_apart_point(X3,reverse_line(X1)) ) )
<=> divides_points(X1,X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',div_def) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO237+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n001.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 29 21:54:30 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.49 % (14434)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.49 % (14415)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.50 % (14411)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)
% 0.19/0.50 % (14424)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.50 % (14424)First to succeed.
% 0.19/0.51 % (14410)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)
% 0.19/0.51 % (14424)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 % (14424)------------------------------
% 0.19/0.51 % (14424)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (14424)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (14424)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (14424)Memory used [KB]: 5500
% 0.19/0.51 % (14424)Time elapsed: 0.108 s
% 0.19/0.51 % (14424)Instructions burned: 3 (million)
% 0.19/0.51 % (14424)------------------------------
% 0.19/0.51 % (14424)------------------------------
% 0.19/0.51 % (14406)Success in time 0.158 s
%------------------------------------------------------------------------------