TSTP Solution File: GEO232+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO232+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 : 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 16:12:24 EDT 2022
% Result : Theorem 0.21s 0.50s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 36 ( 10 unt; 0 def)
% Number of atoms : 83 ( 1 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 76 ( 29 ~; 31 |; 6 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 45 ( 43 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f173,plain,
$false,
inference(subsumption_resolution,[],[f171,f156]) ).
fof(f156,plain,
~ unequally_directed_lines(sK0,sF1),
inference(definition_folding,[],[f121,f155]) ).
fof(f155,plain,
sF1 = reverse_line(sK0),
introduced(function_definition,[]) ).
fof(f121,plain,
~ unequally_directed_lines(sK0,reverse_line(sK0)),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
( ~ unequally_directed_lines(sK0,reverse_line(sK0))
& line(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f78,f100]) ).
fof(f100,plain,
( ? [X0] :
( ~ unequally_directed_lines(X0,reverse_line(X0))
& line(X0) )
=> ( ~ unequally_directed_lines(sK0,reverse_line(sK0))
& line(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f78,plain,
? [X0] :
( ~ unequally_directed_lines(X0,reverse_line(X0))
& line(X0) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,plain,
~ ! [X0] :
( line(X0)
=> unequally_directed_lines(X0,reverse_line(X0)) ),
inference(rectify,[],[f33]) ).
fof(f33,negated_conjecture,
~ ! [X1] :
( line(X1)
=> unequally_directed_lines(X1,reverse_line(X1)) ),
inference(negated_conjecture,[],[f32]) ).
fof(f32,conjecture,
! [X1] :
( line(X1)
=> unequally_directed_lines(X1,reverse_line(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f171,plain,
unequally_directed_lines(sK0,sF1),
inference(resolution,[],[f170,f132]) ).
fof(f132,plain,
! [X0] : ~ unequally_directed_lines(X0,X0),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0] : ~ unequally_directed_lines(X0,X0),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X1] : ~ unequally_directed_lines(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oag5) ).
fof(f170,plain,
! [X0] :
( unequally_directed_lines(sF1,X0)
| unequally_directed_lines(sK0,X0) ),
inference(resolution,[],[f169,f153]) ).
fof(f153,plain,
! [X2,X0,X1] :
( ~ unequally_directed_lines(X1,X2)
| unequally_directed_lines(X1,X0)
| unequally_directed_lines(X2,X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0,X1,X2] :
( unequally_directed_lines(X2,X0)
| ~ unequally_directed_lines(X1,X2)
| unequally_directed_lines(X1,X0) ),
inference(rectify,[],[f73]) ).
fof(f73,plain,
! [X2,X0,X1] :
( unequally_directed_lines(X1,X2)
| ~ unequally_directed_lines(X0,X1)
| unequally_directed_lines(X0,X2) ),
inference(flattening,[],[f72]) ).
fof(f72,plain,
! [X0,X1,X2] :
( unequally_directed_lines(X1,X2)
| unequally_directed_lines(X0,X2)
| ~ unequally_directed_lines(X0,X1) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1,X2] :
( unequally_directed_lines(X0,X1)
=> ( unequally_directed_lines(X1,X2)
| unequally_directed_lines(X0,X2) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X1,X2,X5] :
( unequally_directed_lines(X1,X2)
=> ( unequally_directed_lines(X1,X5)
| unequally_directed_lines(X2,X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oag6) ).
fof(f169,plain,
unequally_directed_lines(sF1,sK0),
inference(subsumption_resolution,[],[f168,f120]) ).
fof(f120,plain,
line(sK0),
inference(cnf_transformation,[],[f101]) ).
fof(f168,plain,
( unequally_directed_lines(sF1,sK0)
| ~ line(sK0) ),
inference(superposition,[],[f166,f155]) ).
fof(f166,plain,
! [X0] :
( unequally_directed_lines(reverse_line(X0),X0)
| ~ line(X0) ),
inference(subsumption_resolution,[],[f160,f144]) ).
fof(f144,plain,
! [X0] :
( line(reverse_line(X0))
| ~ line(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0] :
( ~ line(X0)
| line(reverse_line(X0)) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0] :
( line(X0)
=> line(reverse_line(X0)) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X1] :
( line(X1)
=> line(reverse_line(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oagco4) ).
fof(f160,plain,
! [X0] :
( ~ line(X0)
| ~ line(reverse_line(X0))
| unequally_directed_lines(reverse_line(X0),X0) ),
inference(resolution,[],[f134,f132]) ).
fof(f134,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| ~ line(X0)
| unequally_directed_lines(X0,X1)
| ~ line(X1) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| ~ line(X1)
| unequally_directed_lines(X0,X1)
| ~ line(X0) ),
inference(rectify,[],[f92]) ).
fof(f92,plain,
! [X1,X0] :
( unequally_directed_lines(X1,reverse_line(X0))
| ~ line(X0)
| unequally_directed_lines(X1,X0)
| ~ line(X1) ),
inference(flattening,[],[f91]) ).
fof(f91,plain,
! [X0,X1] :
( unequally_directed_lines(X1,X0)
| unequally_directed_lines(X1,reverse_line(X0))
| ~ line(X1)
| ~ line(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1] :
( ( line(X1)
& line(X0) )
=> ( unequally_directed_lines(X1,X0)
| unequally_directed_lines(X1,reverse_line(X0)) ) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X2,X1] :
( ( line(X1)
& line(X2) )
=> ( unequally_directed_lines(X1,reverse_line(X2))
| unequally_directed_lines(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oag8) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO232+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n004.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 21:28:35 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.48 % (28467)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.49 % (28463)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.49 % (28463)Instruction limit reached!
% 0.21/0.49 % (28463)------------------------------
% 0.21/0.49 % (28463)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.49 % (28463)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.49 % (28463)Termination reason: Unknown
% 0.21/0.49 % (28463)Termination phase: Blocked clause elimination
% 0.21/0.49
% 0.21/0.49 % (28463)Memory used [KB]: 1023
% 0.21/0.49 % (28463)Time elapsed: 0.002 s
% 0.21/0.49 % (28463)Instructions burned: 3 (million)
% 0.21/0.49 % (28463)------------------------------
% 0.21/0.49 % (28463)------------------------------
% 0.21/0.49 % (28467)First to succeed.
% 0.21/0.50 % (28459)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.50 % (28481)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)
% 0.21/0.50 % (28467)Refutation found. Thanks to Tanya!
% 0.21/0.50 % SZS status Theorem for theBenchmark
% 0.21/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.50 % (28467)------------------------------
% 0.21/0.50 % (28467)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50 % (28467)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50 % (28467)Termination reason: Refutation
% 0.21/0.50
% 0.21/0.50 % (28467)Memory used [KB]: 5500
% 0.21/0.50 % (28467)Time elapsed: 0.096 s
% 0.21/0.50 % (28467)Instructions burned: 4 (million)
% 0.21/0.50 % (28467)------------------------------
% 0.21/0.50 % (28467)------------------------------
% 0.21/0.50 % (28454)Success in time 0.151 s
%------------------------------------------------------------------------------