TSTP Solution File: GEO269+3 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO269+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 : n023.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 16:12:31 EDT 2022
% Result : Theorem 0.20s 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 55 ( 19 unt; 0 def)
% Number of atoms : 106 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 99 ( 48 ~; 37 |; 4 &)
% ( 4 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 83 ( 81 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f233,plain,
$false,
inference(subsumption_resolution,[],[f231,f198]) ).
fof(f198,plain,
! [X0] : equally_directed_lines(X0,X0),
inference(literal_reordering,[],[f137]) ).
fof(f137,plain,
! [X0] : equally_directed_lines(X0,X0),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0] : equally_directed_lines(X0,X0),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X3] : equally_directed_lines(X3,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5_basics) ).
fof(f231,plain,
~ equally_directed_lines(sK0,sK0),
inference(resolution,[],[f229,f202]) ).
fof(f202,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,X1)
| ~ equally_directed_lines(X0,X1) ),
inference(literal_reordering,[],[f139]) ).
fof(f139,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,X1)
| ~ equally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0,X1] :
( ~ equally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,X1) ),
inference(rectify,[],[f95]) ).
fof(f95,plain,
! [X1,X0] :
( ~ equally_directed_lines(X1,X0)
| ~ unequally_directed_lines(X1,X0) ),
inference(ennf_transformation,[],[f73]) ).
fof(f73,plain,
! [X1,X0] :
( equally_directed_lines(X1,X0)
=> ~ unequally_directed_lines(X1,X0) ),
inference(unused_predicate_definition_removal,[],[f48]) ).
fof(f48,plain,
! [X1,X0] :
( equally_directed_lines(X1,X0)
<=> ~ unequally_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/sandbox2/benchmark/theBenchmark.p',a4_defns) ).
fof(f229,plain,
unequally_directed_lines(sK0,sK0),
inference(resolution,[],[f228,f208]) ).
fof(f208,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1) ),
inference(literal_reordering,[],[f158]) ).
fof(f158,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1) ),
inference(rectify,[],[f42]) ).
fof(f42,plain,
! [X1,X0] :
( unequally_directed_lines(X1,reverse_line(X0))
| unequally_directed_lines(X1,X0) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X4,X3] :
( unequally_directed_lines(X3,X4)
| unequally_directed_lines(X3,reverse_line(X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8_basics) ).
fof(f228,plain,
~ unequally_directed_lines(sK0,reverse_line(sK0)),
inference(resolution,[],[f226,f217]) ).
fof(f217,plain,
unequally_directed_lines(sK0,reverse_line(reverse_line(sK0))),
inference(resolution,[],[f215,f207]) ).
fof(f207,plain,
! [X0,X1] :
( ~ unequally_directed_opposite_lines(X0,X1)
| unequally_directed_lines(X0,reverse_line(X1)) ),
inference(literal_reordering,[],[f157]) ).
fof(f157,plain,
! [X0,X1] :
( ~ unequally_directed_opposite_lines(X0,X1)
| unequally_directed_lines(X0,reverse_line(X1)) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_opposite_lines(X0,X1) ),
inference(ennf_transformation,[],[f77]) ).
fof(f77,plain,
! [X1,X0] :
( unequally_directed_opposite_lines(X0,X1)
=> unequally_directed_lines(X0,reverse_line(X1)) ),
inference(unused_predicate_definition_removal,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( unequally_directed_lines(X0,reverse_line(X1))
<=> unequally_directed_opposite_lines(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1_defns) ).
fof(f215,plain,
unequally_directed_opposite_lines(sK0,reverse_line(sK0)),
inference(resolution,[],[f182,f204]) ).
fof(f204,plain,
~ equally_directed_opposite_lines(sK0,reverse_line(sK0)),
inference(literal_reordering,[],[f160]) ).
fof(f160,plain,
~ equally_directed_opposite_lines(sK0,reverse_line(sK0)),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
~ equally_directed_opposite_lines(sK0,reverse_line(sK0)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f113,f127]) ).
fof(f127,plain,
( ? [X0] : ~ equally_directed_opposite_lines(X0,reverse_line(X0))
=> ~ equally_directed_opposite_lines(sK0,reverse_line(sK0)) ),
introduced(choice_axiom,[]) ).
fof(f113,plain,
? [X0] : ~ equally_directed_opposite_lines(X0,reverse_line(X0)),
inference(ennf_transformation,[],[f49]) ).
fof(f49,plain,
~ ! [X0] : equally_directed_opposite_lines(X0,reverse_line(X0)),
inference(rectify,[],[f38]) ).
fof(f38,negated_conjecture,
~ ! [X3] : equally_directed_opposite_lines(X3,reverse_line(X3)),
inference(negated_conjecture,[],[f37]) ).
fof(f37,conjecture,
! [X3] : equally_directed_opposite_lines(X3,reverse_line(X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f182,plain,
! [X0,X1] :
( equally_directed_opposite_lines(X0,X1)
| unequally_directed_opposite_lines(X0,X1) ),
inference(literal_reordering,[],[f149]) ).
fof(f149,plain,
! [X0,X1] :
( unequally_directed_opposite_lines(X0,X1)
| equally_directed_opposite_lines(X0,X1) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0,X1] :
( unequally_directed_opposite_lines(X0,X1)
| equally_directed_opposite_lines(X0,X1) ),
inference(ennf_transformation,[],[f76]) ).
fof(f76,plain,
! [X1,X0] :
( ~ unequally_directed_opposite_lines(X0,X1)
=> equally_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/sandbox2/benchmark/theBenchmark.p',a5_defns) ).
fof(f226,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(subsumption_resolution,[],[f225,f199]) ).
fof(f199,plain,
! [X0,X1] : ~ left_convergent_lines(X0,X1),
inference(literal_reordering,[],[f145]) ).
fof(f145,plain,
! [X0,X1] : ~ left_convergent_lines(X0,X1),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0,X1] :
( ~ left_convergent_lines(X0,reverse_line(X1))
& ~ left_convergent_lines(X0,X1) ),
inference(rectify,[],[f116]) ).
fof(f116,plain,
! [X1,X0] :
( ~ left_convergent_lines(X1,reverse_line(X0))
& ~ left_convergent_lines(X1,X0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,plain,
! [X1,X0] :
~ ( left_convergent_lines(X1,reverse_line(X0))
| left_convergent_lines(X1,X0) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X4,X3] :
~ ( left_convergent_lines(X3,reverse_line(X4))
| left_convergent_lines(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11_basics) ).
fof(f225,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(subsumption_resolution,[],[f194,f199]) ).
fof(f194,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,X1)
| left_convergent_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,reverse_line(X1)) ),
inference(literal_reordering,[],[f136]) ).
fof(f136,plain,
! [X0,X1] :
( left_convergent_lines(X0,X1)
| left_convergent_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1)) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,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,[],[f81]) ).
fof(f81,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,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( left_convergent_lines(X1,X0)
| left_convergent_lines(X1,reverse_line(X0))
| ~ unequally_directed_lines(X1,reverse_line(X0))
| ~ unequally_directed_lines(X1,X0) ),
inference(ennf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1] :
( ( unequally_directed_lines(X1,reverse_line(X0))
& unequally_directed_lines(X1,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/sandbox2/benchmark/theBenchmark.p',ax9_basics) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO269+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
% 0.14/0.34 % Computer : n023.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 21:56:35 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.52 % (8331)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)
% 0.20/0.52 % (8323)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)
% 0.20/0.52 % (8311)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)
% 0.20/0.53 % (8334)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.53 % (8314)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (8322)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.53 % (8309)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)
% 0.20/0.53 % (8313)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)
% 0.20/0.53 % (8308)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)
% 0.20/0.53 % (8309)Refutation not found, incomplete strategy% (8309)------------------------------
% 0.20/0.53 % (8309)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (8309)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (8309)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (8309)Memory used [KB]: 5500
% 0.20/0.53 % (8309)Time elapsed: 0.132 s
% 0.20/0.53 % (8309)Instructions burned: 3 (million)
% 0.20/0.53 % (8309)------------------------------
% 0.20/0.53 % (8309)------------------------------
% 0.20/0.53 % (8312)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 TRYING [1]
% 0.20/0.53 TRYING [2]
% 0.20/0.53 % (8323)First to succeed.
% 0.20/0.53 % (8337)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.53 TRYING [3]
% 0.20/0.53 % (8310)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)
% 0.20/0.54 % (8323)Refutation found. Thanks to Tanya!
% 0.20/0.54 % SZS status Theorem for theBenchmark
% 0.20/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54 % (8323)------------------------------
% 0.20/0.54 % (8323)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (8323)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (8323)Termination reason: Refutation
% 0.20/0.54
% 0.20/0.54 % (8323)Memory used [KB]: 5884
% 0.20/0.54 % (8323)Time elapsed: 0.013 s
% 0.20/0.54 % (8323)Instructions burned: 6 (million)
% 0.20/0.54 % (8323)------------------------------
% 0.20/0.54 % (8323)------------------------------
% 0.20/0.54 % (8304)Success in time 0.189 s
%------------------------------------------------------------------------------