TSTP Solution File: GEO233+3 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO233+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 16:09:26 EDT 2022
% Result : Theorem 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 37 ( 13 unt; 0 def)
% Number of atoms : 81 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 75 ( 31 ~; 33 |; 4 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 61 ( 59 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f177,plain,
$false,
inference(subsumption_resolution,[],[f173,f176]) ).
fof(f176,plain,
~ unequally_directed_lines(reverse_line(reverse_line(sK0)),reverse_line(reverse_line(sK0))),
inference(unit_resulting_resolution,[],[f168,f168,f159]) ).
fof(f159,plain,
! [X2,X0,X1] :
( ~ unequally_directed_lines(X1,X0)
| unequally_directed_lines(X0,X2)
| unequally_directed_lines(X1,X2) ),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0,X1,X2] :
( unequally_directed_lines(X1,X2)
| unequally_directed_lines(X0,X2)
| ~ unequally_directed_lines(X1,X0) ),
inference(rectify,[],[f95]) ).
fof(f95,plain,
! [X1,X0,X2] :
( unequally_directed_lines(X0,X2)
| unequally_directed_lines(X1,X2)
| ~ unequally_directed_lines(X0,X1) ),
inference(flattening,[],[f94]) ).
fof(f94,plain,
! [X2,X1,X0] :
( unequally_directed_lines(X1,X2)
| unequally_directed_lines(X0,X2)
| ~ unequally_directed_lines(X0,X1) ),
inference(ennf_transformation,[],[f56]) ).
fof(f56,plain,
! [X2,X1,X0] :
( unequally_directed_lines(X0,X1)
=> ( unequally_directed_lines(X1,X2)
| unequally_directed_lines(X0,X2) ) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X3,X4,X7] :
( unequally_directed_lines(X3,X4)
=> ( unequally_directed_lines(X3,X7)
| unequally_directed_lines(X4,X7) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6_basics) ).
fof(f168,plain,
~ unequally_directed_lines(reverse_line(reverse_line(sK0)),reverse_line(sK0)),
inference(unit_resulting_resolution,[],[f164,f163,f166,f147]) ).
fof(f147,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,X1)
| ~ unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0,X1] :
( left_convergent_lines(X0,X1)
| ~ unequally_directed_lines(X0,X1)
| left_convergent_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,reverse_line(X1)) ),
inference(rectify,[],[f89]) ).
fof(f89,plain,
! [X1,X0] :
( left_convergent_lines(X1,X0)
| ~ unequally_directed_lines(X1,X0)
| left_convergent_lines(X1,reverse_line(X0))
| ~ unequally_directed_lines(X1,reverse_line(X0)) ),
inference(flattening,[],[f88]) ).
fof(f88,plain,
! [X1,X0] :
( left_convergent_lines(X1,X0)
| left_convergent_lines(X1,reverse_line(X0))
| ~ unequally_directed_lines(X1,X0)
| ~ unequally_directed_lines(X1,reverse_line(X0)) ),
inference(ennf_transformation,[],[f62]) ).
fof(f62,plain,
! [X1,X0] :
( ( unequally_directed_lines(X1,X0)
& unequally_directed_lines(X1,reverse_line(X0)) )
=> ( left_convergent_lines(X1,X0)
| left_convergent_lines(X1,reverse_line(X0)) ) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X4,X3] :
( ( unequally_directed_lines(X3,reverse_line(X4))
& unequally_directed_lines(X3,X4) )
=> ( left_convergent_lines(X3,X4)
| left_convergent_lines(X3,reverse_line(X4)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9_basics) ).
fof(f166,plain,
unequally_directed_lines(reverse_line(reverse_line(sK0)),sK0),
inference(unit_resulting_resolution,[],[f145,f127]) ).
fof(f127,plain,
! [X0,X1] :
( equally_directed_lines(X1,X0)
| unequally_directed_lines(X1,X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0,X1] :
( ( ~ unequally_directed_lines(X1,X0)
| ~ equally_directed_lines(X1,X0) )
& ( equally_directed_lines(X1,X0)
| unequally_directed_lines(X1,X0) ) ),
inference(nnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X1,X0)
<=> equally_directed_lines(X1,X0) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X1,X0] :
( equally_directed_lines(X0,X1)
<=> ~ unequally_directed_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a4_defns) ).
fof(f145,plain,
~ equally_directed_lines(reverse_line(reverse_line(sK0)),sK0),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
~ equally_directed_lines(reverse_line(reverse_line(sK0)),sK0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f90,f117]) ).
fof(f117,plain,
( ? [X0] : ~ equally_directed_lines(reverse_line(reverse_line(X0)),X0)
=> ~ equally_directed_lines(reverse_line(reverse_line(sK0)),sK0) ),
introduced(choice_axiom,[]) ).
fof(f90,plain,
? [X0] : ~ equally_directed_lines(reverse_line(reverse_line(X0)),X0),
inference(ennf_transformation,[],[f39]) ).
fof(f39,plain,
~ ! [X0] : equally_directed_lines(reverse_line(reverse_line(X0)),X0),
inference(rectify,[],[f38]) ).
fof(f38,negated_conjecture,
~ ! [X3] : equally_directed_lines(reverse_line(reverse_line(X3)),X3),
inference(negated_conjecture,[],[f37]) ).
fof(f37,conjecture,
! [X3] : equally_directed_lines(reverse_line(reverse_line(X3)),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f163,plain,
! [X0,X1] : ~ left_convergent_lines(X1,reverse_line(X0)),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0,X1] :
( ~ left_convergent_lines(X1,X0)
& ~ left_convergent_lines(X1,reverse_line(X0)) ),
inference(ennf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0,X1] :
~ ( left_convergent_lines(X1,X0)
| left_convergent_lines(X1,reverse_line(X0)) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X4,X3] :
~ ( left_convergent_lines(X3,reverse_line(X4))
| left_convergent_lines(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11_basics) ).
fof(f164,plain,
! [X0,X1] : ~ left_convergent_lines(X1,X0),
inference(cnf_transformation,[],[f104]) ).
fof(f173,plain,
unequally_directed_lines(reverse_line(reverse_line(sK0)),reverse_line(reverse_line(sK0))),
inference(unit_resulting_resolution,[],[f168,f144]) ).
fof(f144,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0,X1] :
( unequally_directed_lines(X0,X1)
| unequally_directed_lines(X0,reverse_line(X1)) ),
inference(rectify,[],[f44]) ).
fof(f44,plain,
! [X1,X0] :
( unequally_directed_lines(X1,X0)
| unequally_directed_lines(X1,reverse_line(X0)) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X4,X3] :
( unequally_directed_lines(X3,X4)
| unequally_directed_lines(X3,reverse_line(X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8_basics) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO233+3 : TPTP v8.1.0. Released v4.0.0.
% 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
% 0.12/0.34 % Computer : n010.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 21:25:14 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.49 % (1581)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.49 % (1593)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.50 % (1601)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.20/0.51 % (1591)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.51 % (1594)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.51 % (1592)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.20/0.51 % (1591)First to succeed.
% 0.20/0.51 % (1593)Also succeeded, but the first one will report.
% 0.20/0.51 % (1601)Refutation not found, incomplete strategy% (1601)------------------------------
% 0.20/0.51 % (1601)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (1601)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (1601)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51
% 0.20/0.51 % (1601)Memory used [KB]: 6012
% 0.20/0.51 % (1601)Time elapsed: 0.114 s
% 0.20/0.51 % (1601)Instructions burned: 3 (million)
% 0.20/0.51 % (1601)------------------------------
% 0.20/0.51 % (1601)------------------------------
% 0.20/0.51 % (1591)Refutation found. Thanks to Tanya!
% 0.20/0.51 % SZS status Theorem for theBenchmark
% 0.20/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51 % (1591)------------------------------
% 0.20/0.51 % (1591)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (1591)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (1591)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (1591)Memory used [KB]: 6012
% 0.20/0.51 % (1591)Time elapsed: 0.116 s
% 0.20/0.51 % (1591)Instructions burned: 3 (million)
% 0.20/0.51 % (1591)------------------------------
% 0.20/0.51 % (1591)------------------------------
% 0.20/0.51 % (1580)Success in time 0.164 s
%------------------------------------------------------------------------------