TSTP Solution File: GEO227+3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO227+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_sat --cores 0 -t %d %s
% Computer : n022.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 16:12:23 EDT 2022
% Result : Theorem 1.25s 0.53s
% Output : Refutation 1.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 31 ( 7 unt; 0 def)
% Number of atoms : 61 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 54 ( 24 ~; 13 |; 10 &)
% ( 4 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 46 ( 40 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f186,plain,
$false,
inference(subsumption_resolution,[],[f185,f177]) ).
fof(f177,plain,
~ unequally_directed_lines(sK1,sK0),
inference(resolution,[],[f137,f161]) ).
fof(f161,plain,
equally_directed_lines(sK1,sK0),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
( equally_directed_lines(sK1,sK0)
& equally_directed_opposite_lines(sK1,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f127,f128]) ).
fof(f128,plain,
( ? [X0,X1] :
( equally_directed_lines(X1,X0)
& equally_directed_opposite_lines(X1,X0) )
=> ( equally_directed_lines(sK1,sK0)
& equally_directed_opposite_lines(sK1,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f127,plain,
? [X0,X1] :
( equally_directed_lines(X1,X0)
& equally_directed_opposite_lines(X1,X0) ),
inference(rectify,[],[f80]) ).
fof(f80,plain,
? [X1,X0] :
( equally_directed_lines(X0,X1)
& equally_directed_opposite_lines(X0,X1) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,plain,
~ ! [X1,X0] :
~ ( equally_directed_lines(X0,X1)
& equally_directed_opposite_lines(X0,X1) ),
inference(rectify,[],[f38]) ).
fof(f38,negated_conjecture,
~ ! [X3,X4] :
~ ( equally_directed_lines(X3,X4)
& equally_directed_opposite_lines(X3,X4) ),
inference(negated_conjecture,[],[f37]) ).
fof(f37,conjecture,
! [X3,X4] :
~ ( equally_directed_lines(X3,X4)
& equally_directed_opposite_lines(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f137,plain,
! [X0,X1] :
( ~ equally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0,X1] :
( ( ~ unequally_directed_lines(X0,X1)
| ~ equally_directed_lines(X0,X1) )
& ( equally_directed_lines(X0,X1)
| unequally_directed_lines(X0,X1) ) ),
inference(rectify,[],[f115]) ).
fof(f115,plain,
! [X1,X0] :
( ( ~ unequally_directed_lines(X1,X0)
| ~ equally_directed_lines(X1,X0) )
& ( equally_directed_lines(X1,X0)
| unequally_directed_lines(X1,X0) ) ),
inference(nnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X1,X0] :
( ~ unequally_directed_lines(X1,X0)
<=> equally_directed_lines(X1,X0) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X1,X0] :
( ~ unequally_directed_lines(X0,X1)
<=> equally_directed_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a4_defns) ).
fof(f185,plain,
unequally_directed_lines(sK1,sK0),
inference(resolution,[],[f184,f140]) ).
fof(f140,plain,
! [X0,X1] :
( unequally_directed_lines(X1,reverse_line(X0))
| unequally_directed_lines(X1,X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0,X1] :
( unequally_directed_lines(X1,X0)
| unequally_directed_lines(X1,reverse_line(X0)) ),
inference(rectify,[],[f72]) ).
fof(f72,plain,
! [X1,X0] :
( unequally_directed_lines(X0,X1)
| unequally_directed_lines(X0,reverse_line(X1)) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X3,X4] :
( unequally_directed_lines(X3,X4)
| unequally_directed_lines(X3,reverse_line(X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8_basics) ).
fof(f184,plain,
~ unequally_directed_lines(sK1,reverse_line(sK0)),
inference(resolution,[],[f163,f181]) ).
fof(f181,plain,
~ unequally_directed_opposite_lines(sK1,sK0),
inference(resolution,[],[f145,f160]) ).
fof(f160,plain,
equally_directed_opposite_lines(sK1,sK0),
inference(cnf_transformation,[],[f129]) ).
fof(f145,plain,
! [X0,X1] :
( ~ equally_directed_opposite_lines(X0,X1)
| ~ unequally_directed_opposite_lines(X0,X1) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0,X1] :
( ~ equally_directed_opposite_lines(X0,X1)
| ~ unequally_directed_opposite_lines(X0,X1) ),
inference(ennf_transformation,[],[f75]) ).
fof(f75,plain,
! [X1,X0] :
( equally_directed_opposite_lines(X0,X1)
=> ~ unequally_directed_opposite_lines(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f5]) ).
fof(f5,axiom,
! [X1,X0] :
( equally_directed_opposite_lines(X0,X1)
<=> ~ unequally_directed_opposite_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a5_defns) ).
fof(f163,plain,
! [X0,X1] :
( unequally_directed_opposite_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1)) ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_opposite_lines(X0,X1) ),
inference(ennf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
=> unequally_directed_opposite_lines(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( unequally_directed_opposite_lines(X0,X1)
<=> unequally_directed_lines(X0,reverse_line(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1_defns) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO227+3 : TPTP v8.1.0. Released v4.0.0.
% 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
% 0.13/0.34 % Computer : n022.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 21:33:11 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.51 % (10405)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)
% 0.19/0.51 % (10400)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.25/0.52 % (10422)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)
% 1.25/0.52 % (10401)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)
% 1.25/0.52 % (10403)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.25/0.52 % (10420)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.25/0.52 % (10428)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.25/0.52 % (10404)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.25/0.52 % (10411)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.25/0.52 % (10422)First to succeed.
% 1.25/0.52 TRYING [1]
% 1.25/0.52 TRYING [2]
% 1.25/0.53 % (10426)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)
% 1.25/0.53 % (10421)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.25/0.53 % (10404)Also succeeded, but the first one will report.
% 1.25/0.53 TRYING [3]
% 1.25/0.53 % (10429)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.25/0.53 % (10422)Refutation found. Thanks to Tanya!
% 1.25/0.53 % SZS status Theorem for theBenchmark
% 1.25/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 1.25/0.53 % (10422)------------------------------
% 1.25/0.53 % (10422)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.25/0.53 % (10422)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.25/0.53 % (10422)Termination reason: Refutation
% 1.25/0.53
% 1.25/0.53 % (10422)Memory used [KB]: 1023
% 1.25/0.53 % (10422)Time elapsed: 0.078 s
% 1.25/0.53 % (10422)Instructions burned: 3 (million)
% 1.25/0.53 % (10422)------------------------------
% 1.25/0.53 % (10422)------------------------------
% 1.25/0.53 % (10399)Success in time 0.176 s
%------------------------------------------------------------------------------