TSTP Solution File: GEO181+2 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO181+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_uns --cores 0 -t %d %s
% Computer : n024.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 16:08:59 EDT 2022
% Result : Theorem 0.20s 0.56s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 44 ( 14 unt; 0 def)
% Number of atoms : 129 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 125 ( 40 ~; 54 |; 18 &)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 95 ( 83 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f143,plain,
$false,
inference(subsumption_resolution,[],[f141,f116]) ).
fof(f116,plain,
~ distinct_lines(line_connecting(sK2,sK1),line_connecting(sK2,sK0)),
inference(unit_resulting_resolution,[],[f49,f52,f40,f41,f77,f45]) ).
fof(f45,plain,
! [X2,X3,X0,X1] :
( ~ distinct_lines(X2,X0)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X0)
| ~ distinct_points(X3,X1)
| apart_point_and_line(X3,X0)
| apart_point_and_line(X3,X2) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1,X2,X3] :
( ~ distinct_points(X3,X1)
| apart_point_and_line(X3,X2)
| apart_point_and_line(X1,X0)
| apart_point_and_line(X1,X2)
| ~ distinct_lines(X2,X0)
| apart_point_and_line(X3,X0) ),
inference(rectify,[],[f27]) ).
fof(f27,plain,
! [X1,X2,X0,X3] :
( ~ distinct_points(X3,X2)
| apart_point_and_line(X3,X0)
| apart_point_and_line(X2,X1)
| apart_point_and_line(X2,X0)
| ~ distinct_lines(X0,X1)
| apart_point_and_line(X3,X1) ),
inference(flattening,[],[f26]) ).
fof(f26,plain,
! [X3,X1,X0,X2] :
( apart_point_and_line(X2,X0)
| apart_point_and_line(X3,X1)
| apart_point_and_line(X3,X0)
| apart_point_and_line(X2,X1)
| ~ distinct_points(X3,X2)
| ~ distinct_lines(X0,X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
! [X3,X1,X0,X2] :
( ( distinct_points(X3,X2)
& distinct_lines(X0,X1) )
=> ( apart_point_and_line(X2,X0)
| apart_point_and_line(X3,X1)
| apart_point_and_line(X3,X0)
| apart_point_and_line(X2,X1) ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X3,X4,X1,X0] :
( ( distinct_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X1,X3)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X4)
| apart_point_and_line(X0,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cu1) ).
fof(f77,plain,
~ apart_point_and_line(sK2,line_connecting(sK2,sK0)),
inference(unit_resulting_resolution,[],[f48,f62,f47]) ).
fof(f47,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X2,X1))
| distinct_points(X0,X2)
| ~ distinct_points(X2,X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X1,X2] :
( ~ apart_point_and_line(X0,line_connecting(X2,X1))
| ~ distinct_points(X2,X1)
| ( distinct_points(X0,X2)
& distinct_points(X0,X1) ) ),
inference(rectify,[],[f25]) ).
fof(f25,plain,
! [X2,X1,X0] :
( ~ apart_point_and_line(X2,line_connecting(X0,X1))
| ~ distinct_points(X0,X1)
| ( distinct_points(X2,X0)
& distinct_points(X2,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/sandbox2/benchmark/theBenchmark.p',con1) ).
fof(f62,plain,
distinct_points(sK2,sK0),
inference(unit_resulting_resolution,[],[f48,f53,f44]) ).
fof(f44,plain,
! [X2,X0,X1] :
( ~ distinct_points(X2,X1)
| distinct_points(X1,X0)
| distinct_points(X2,X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1,X2] :
( ~ distinct_points(X2,X1)
| distinct_points(X2,X0)
| distinct_points(X1,X0) ),
inference(flattening,[],[f28]) ).
fof(f28,plain,
! [X2,X1,X0] :
( distinct_points(X2,X0)
| distinct_points(X1,X0)
| ~ distinct_points(X2,X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
! [X2,X1,X0] :
( distinct_points(X2,X1)
=> ( distinct_points(X2,X0)
| distinct_points(X1,X0) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X2,X1,X0] :
( distinct_points(X0,X1)
=> ( distinct_points(X1,X2)
| distinct_points(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart4) ).
fof(f53,plain,
distinct_points(sK0,sK2),
inference(unit_resulting_resolution,[],[f40,f39,f47]) ).
fof(f39,plain,
apart_point_and_line(sK0,line_connecting(sK2,sK1)),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
( ~ apart_point_and_line(sK1,line_connecting(sK2,sK0))
& distinct_points(sK2,sK1)
& apart_point_and_line(sK0,line_connecting(sK2,sK1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f32,f33]) ).
fof(f33,plain,
( ? [X0,X1,X2] :
( ~ apart_point_and_line(X1,line_connecting(X2,X0))
& distinct_points(X2,X1)
& apart_point_and_line(X0,line_connecting(X2,X1)) )
=> ( ~ apart_point_and_line(sK1,line_connecting(sK2,sK0))
& distinct_points(sK2,sK1)
& apart_point_and_line(sK0,line_connecting(sK2,sK1)) ) ),
introduced(choice_axiom,[]) ).
fof(f32,plain,
? [X0,X1,X2] :
( ~ apart_point_and_line(X1,line_connecting(X2,X0))
& distinct_points(X2,X1)
& apart_point_and_line(X0,line_connecting(X2,X1)) ),
inference(rectify,[],[f21]) ).
fof(f21,plain,
? [X2,X1,X0] :
( ~ apart_point_and_line(X1,line_connecting(X0,X2))
& distinct_points(X0,X1)
& apart_point_and_line(X2,line_connecting(X0,X1)) ),
inference(flattening,[],[f20]) ).
fof(f20,plain,
? [X1,X2,X0] :
( ~ apart_point_and_line(X1,line_connecting(X0,X2))
& apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,negated_conjecture,
~ ! [X1,X2,X0] :
( distinct_points(X0,X1)
=> ( apart_point_and_line(X2,line_connecting(X0,X1))
=> apart_point_and_line(X1,line_connecting(X0,X2)) ) ),
inference(negated_conjecture,[],[f13]) ).
fof(f13,conjecture,
! [X1,X2,X0] :
( distinct_points(X0,X1)
=> ( apart_point_and_line(X2,line_connecting(X0,X1))
=> apart_point_and_line(X1,line_connecting(X0,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f48,plain,
! [X0] : ~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : ~ distinct_points(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart1) ).
fof(f41,plain,
~ apart_point_and_line(sK1,line_connecting(sK2,sK0)),
inference(cnf_transformation,[],[f34]) ).
fof(f40,plain,
distinct_points(sK2,sK1),
inference(cnf_transformation,[],[f34]) ).
fof(f52,plain,
~ apart_point_and_line(sK1,line_connecting(sK2,sK1)),
inference(unit_resulting_resolution,[],[f48,f40,f46]) ).
fof(f46,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X2,X1))
| distinct_points(X0,X1)
| ~ distinct_points(X2,X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f49,plain,
~ apart_point_and_line(sK2,line_connecting(sK2,sK1)),
inference(unit_resulting_resolution,[],[f48,f40,f47]) ).
fof(f141,plain,
distinct_lines(line_connecting(sK2,sK1),line_connecting(sK2,sK0)),
inference(unit_resulting_resolution,[],[f39,f80,f42]) ).
fof(f42,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X2)
| distinct_lines(X1,X2) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1,X2] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(rectify,[],[f31]) ).
fof(f31,plain,
! [X0,X2,X1] :
( apart_point_and_line(X0,X1)
| distinct_lines(X2,X1)
| ~ apart_point_and_line(X0,X2) ),
inference(flattening,[],[f30]) ).
fof(f30,plain,
! [X1,X0,X2] :
( distinct_lines(X2,X1)
| apart_point_and_line(X0,X1)
| ~ apart_point_and_line(X0,X2) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,plain,
! [X1,X0,X2] :
( apart_point_and_line(X0,X2)
=> ( distinct_lines(X2,X1)
| apart_point_and_line(X0,X1) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X0,X2,X1] :
( apart_point_and_line(X0,X1)
=> ( distinct_lines(X1,X2)
| apart_point_and_line(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq2) ).
fof(f80,plain,
~ apart_point_and_line(sK0,line_connecting(sK2,sK0)),
inference(unit_resulting_resolution,[],[f48,f62,f46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO181+2 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 21:27:19 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.48 % (4399)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.20/0.50 % (4399)Instruction limit reached!
% 0.20/0.50 % (4399)------------------------------
% 0.20/0.50 % (4399)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (4399)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (4399)Termination reason: Unknown
% 0.20/0.50 % (4399)Termination phase: Saturation
% 0.20/0.50
% 0.20/0.50 % (4399)Memory used [KB]: 6140
% 0.20/0.50 % (4399)Time elapsed: 0.025 s
% 0.20/0.50 % (4399)Instructions burned: 24 (million)
% 0.20/0.50 % (4399)------------------------------
% 0.20/0.50 % (4399)------------------------------
% 0.20/0.53 % (4350)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (4350)First to succeed.
% 0.20/0.54 % (4410)lrs+1010_1:1_afq=1.1:anc=none:bd=off:sd=2:sos=on:ss=axioms:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/92Mi)
% 0.20/0.55 % (4373)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.55 % (4347)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.55 % (4375)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.56 TRYING [1]
% 0.20/0.56 TRYING [2]
% 0.20/0.56 TRYING [3]
% 0.20/0.56 % (4375)Instruction limit reached!
% 0.20/0.56 % (4375)------------------------------
% 0.20/0.56 % (4375)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (4375)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (4375)Termination reason: Unknown
% 0.20/0.56 % (4375)Termination phase: Finite model building constraint generation
% 0.20/0.56
% 0.20/0.56 % (4375)Memory used [KB]: 6012
% 0.20/0.56 % (4375)Time elapsed: 0.114 s
% 0.20/0.56 % (4375)Instructions burned: 4 (million)
% 0.20/0.56 % (4375)------------------------------
% 0.20/0.56 % (4375)------------------------------
% 0.20/0.56 % (4350)Refutation found. Thanks to Tanya!
% 0.20/0.56 % SZS status Theorem for theBenchmark
% 0.20/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.56 % (4350)------------------------------
% 0.20/0.56 % (4350)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (4350)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (4350)Termination reason: Refutation
% 0.20/0.56
% 0.20/0.56 % (4350)Memory used [KB]: 6012
% 0.20/0.56 % (4350)Time elapsed: 0.092 s
% 0.20/0.56 % (4350)Instructions burned: 5 (million)
% 0.20/0.56 % (4350)------------------------------
% 0.20/0.56 % (4350)------------------------------
% 0.20/0.56 % (4346)Success in time 0.204 s
%------------------------------------------------------------------------------