TSTP Solution File: GEO117+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO117+1 : TPTP v8.1.0. Released v2.4.0.
% 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 : 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 16:11:53 EDT 2022
% Result : Theorem 0.20s 0.56s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 41 ( 13 unt; 3 typ; 0 def)
% Number of atoms : 189 ( 11 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 229 ( 78 ~; 73 |; 66 &)
% ( 8 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 4 ( 0 usr; 3 ari)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-4 aty)
% Number of variables : 137 ( 117 !; 20 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_15,type,
sQ25_eqProxy: ( $int * $int ) > $o ).
tff(pred_def_16,type,
sQ26_eqProxy: ( $rat * $rat ) > $o ).
tff(pred_def_17,type,
sQ27_eqProxy: ( $real * $real ) > $o ).
fof(f489,plain,
$false,
inference(subsumption_resolution,[],[f488,f315]) ).
fof(f315,plain,
! [X2,X3,X0] : ~ between_c(X2,X3,X0,X3),
inference(literal_reordering,[],[f241]) ).
fof(f241,plain,
! [X2,X3,X0] : ~ between_c(X2,X3,X0,X3),
inference(equality_resolution,[],[f201]) ).
fof(f201,plain,
! [X2,X3,X0,X1] :
( X1 != X3
| ~ between_c(X2,X1,X0,X3) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0,X1,X2,X3] :
( ( ( X1 != X3
& end_point(X1,sK12(X0,X1,X2,X3))
& part_of(sK12(X0,X1,X2,X3),X2)
& end_point(X3,sK12(X0,X1,X2,X3))
& inner_point(X0,sK12(X0,X1,X2,X3)) )
| ~ between_c(X2,X1,X0,X3) )
& ( between_c(X2,X1,X0,X3)
| X1 = X3
| ! [X5] :
( ~ end_point(X1,X5)
| ~ part_of(X5,X2)
| ~ end_point(X3,X5)
| ~ inner_point(X0,X5) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f125,f126]) ).
fof(f126,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( end_point(X1,X4)
& part_of(X4,X2)
& end_point(X3,X4)
& inner_point(X0,X4) )
=> ( end_point(X1,sK12(X0,X1,X2,X3))
& part_of(sK12(X0,X1,X2,X3),X2)
& end_point(X3,sK12(X0,X1,X2,X3))
& inner_point(X0,sK12(X0,X1,X2,X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f125,plain,
! [X0,X1,X2,X3] :
( ( ( X1 != X3
& ? [X4] :
( end_point(X1,X4)
& part_of(X4,X2)
& end_point(X3,X4)
& inner_point(X0,X4) ) )
| ~ between_c(X2,X1,X0,X3) )
& ( between_c(X2,X1,X0,X3)
| X1 = X3
| ! [X5] :
( ~ end_point(X1,X5)
| ~ part_of(X5,X2)
| ~ end_point(X3,X5)
| ~ inner_point(X0,X5) ) ) ),
inference(rectify,[],[f124]) ).
fof(f124,plain,
! [X1,X3,X0,X2] :
( ( ( X2 != X3
& ? [X4] :
( end_point(X3,X4)
& part_of(X4,X0)
& end_point(X2,X4)
& inner_point(X1,X4) ) )
| ~ between_c(X0,X3,X1,X2) )
& ( between_c(X0,X3,X1,X2)
| X2 = X3
| ! [X4] :
( ~ end_point(X3,X4)
| ~ part_of(X4,X0)
| ~ end_point(X2,X4)
| ~ inner_point(X1,X4) ) ) ),
inference(flattening,[],[f123]) ).
fof(f123,plain,
! [X1,X3,X0,X2] :
( ( ( X2 != X3
& ? [X4] :
( end_point(X3,X4)
& part_of(X4,X0)
& end_point(X2,X4)
& inner_point(X1,X4) ) )
| ~ between_c(X0,X3,X1,X2) )
& ( between_c(X0,X3,X1,X2)
| X2 = X3
| ! [X4] :
( ~ end_point(X3,X4)
| ~ part_of(X4,X0)
| ~ end_point(X2,X4)
| ~ inner_point(X1,X4) ) ) ),
inference(nnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X1,X3,X0,X2] :
( ( X2 != X3
& ? [X4] :
( end_point(X3,X4)
& part_of(X4,X0)
& end_point(X2,X4)
& inner_point(X1,X4) ) )
<=> between_c(X0,X3,X1,X2) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X0,X4,X6,X2] :
( between_c(X0,X2,X4,X6)
<=> ( X2 != X6
& ? [X7] :
( part_of(X7,X0)
& inner_point(X4,X7)
& end_point(X2,X7)
& end_point(X6,X7) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',between_c_defn) ).
fof(f488,plain,
between_c(sK23(sK20,sK20,sK20,sK19),sK20,sK20,sK20),
inference(resolution,[],[f299,f458]) ).
fof(f458,plain,
between_o(sK19,sK20,sK20,sK20),
inference(resolution,[],[f455,f270]) ).
fof(f270,plain,
ordered_by(sK19,sK20,sK20),
inference(literal_reordering,[],[f228]) ).
fof(f228,plain,
ordered_by(sK19,sK20,sK20),
inference(cnf_transformation,[],[f152]) ).
fof(f152,plain,
ordered_by(sK19,sK20,sK20),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19,sK20])],[f150,f151]) ).
fof(f151,plain,
( ? [X0,X1] : ordered_by(X0,X1,X1)
=> ordered_by(sK19,sK20,sK20) ),
introduced(choice_axiom,[]) ).
fof(f150,plain,
? [X0,X1] : ordered_by(X0,X1,X1),
inference(rectify,[],[f75]) ).
fof(f75,plain,
? [X1,X0] : ordered_by(X1,X0,X0),
inference(ennf_transformation,[],[f43]) ).
fof(f43,plain,
~ ! [X0,X1] : ~ ordered_by(X1,X0,X0),
inference(rectify,[],[f29]) ).
fof(f29,negated_conjecture,
~ ! [X2,X8] : ~ ordered_by(X8,X2,X2),
inference(negated_conjecture,[],[f28]) ).
fof(f28,conjecture,
! [X2,X8] : ~ ordered_by(X8,X2,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_4_4) ).
fof(f455,plain,
! [X0] :
( ~ ordered_by(sK19,X0,sK20)
| between_o(sK19,X0,sK20,sK20) ),
inference(resolution,[],[f291,f270]) ).
fof(f291,plain,
! [X2,X3,X0,X1] :
( ~ ordered_by(X1,X0,X2)
| ~ ordered_by(X1,X3,X0)
| between_o(X1,X3,X0,X2) ),
inference(literal_reordering,[],[f202]) ).
fof(f202,plain,
! [X2,X3,X0,X1] :
( ~ ordered_by(X1,X3,X0)
| ~ ordered_by(X1,X0,X2)
| between_o(X1,X3,X0,X2) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0,X1,X2,X3] :
( ( ( ordered_by(X1,X0,X3)
& ordered_by(X1,X2,X0) )
| ( ordered_by(X1,X3,X0)
& ordered_by(X1,X0,X2) )
| ~ between_o(X1,X3,X0,X2) )
& ( between_o(X1,X3,X0,X2)
| ( ( ~ ordered_by(X1,X0,X3)
| ~ ordered_by(X1,X2,X0) )
& ( ~ ordered_by(X1,X3,X0)
| ~ ordered_by(X1,X0,X2) ) ) ) ),
inference(flattening,[],[f128]) ).
fof(f128,plain,
! [X0,X1,X2,X3] :
( ( ( ordered_by(X1,X0,X3)
& ordered_by(X1,X2,X0) )
| ( ordered_by(X1,X3,X0)
& ordered_by(X1,X0,X2) )
| ~ between_o(X1,X3,X0,X2) )
& ( between_o(X1,X3,X0,X2)
| ( ( ~ ordered_by(X1,X0,X3)
| ~ ordered_by(X1,X2,X0) )
& ( ~ ordered_by(X1,X3,X0)
| ~ ordered_by(X1,X0,X2) ) ) ) ),
inference(nnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1,X2,X3] :
( ( ( ordered_by(X1,X0,X3)
& ordered_by(X1,X2,X0) )
| ( ordered_by(X1,X3,X0)
& ordered_by(X1,X0,X2) ) )
<=> between_o(X1,X3,X0,X2) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X4,X8,X6,X2] :
( ( ( ordered_by(X8,X2,X4)
& ordered_by(X8,X4,X6) )
| ( ordered_by(X8,X6,X4)
& ordered_by(X8,X4,X2) ) )
<=> between_o(X8,X2,X4,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',between_o_defn) ).
fof(f299,plain,
! [X2,X3,X0,X1] :
( ~ between_o(X3,X0,X2,X1)
| between_c(sK23(X0,X1,X2,X3),X0,X2,X1) ),
inference(literal_reordering,[],[f237]) ).
fof(f237,plain,
! [X2,X3,X0,X1] :
( ~ between_o(X3,X0,X2,X1)
| between_c(sK23(X0,X1,X2,X3),X0,X2,X1) ),
inference(cnf_transformation,[],[f162]) ).
fof(f162,plain,
! [X0,X1,X2,X3] :
( ( between_o(X3,X0,X2,X1)
| ! [X4] :
( ~ between_c(X4,X0,X2,X1)
| ( ( ~ incident_o(sK22(X3,X4),X3)
| ~ incident_c(sK22(X3,X4),X4) )
& ( incident_o(sK22(X3,X4),X3)
| incident_c(sK22(X3,X4),X4) ) ) ) )
& ( ( between_c(sK23(X0,X1,X2,X3),X0,X2,X1)
& ! [X7] :
( ( incident_c(X7,sK23(X0,X1,X2,X3))
| ~ incident_o(X7,X3) )
& ( incident_o(X7,X3)
| ~ incident_c(X7,sK23(X0,X1,X2,X3)) ) ) )
| ~ between_o(X3,X0,X2,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22,sK23])],[f159,f161,f160]) ).
fof(f160,plain,
! [X3,X4] :
( ? [X5] :
( ( ~ incident_o(X5,X3)
| ~ incident_c(X5,X4) )
& ( incident_o(X5,X3)
| incident_c(X5,X4) ) )
=> ( ( ~ incident_o(sK22(X3,X4),X3)
| ~ incident_c(sK22(X3,X4),X4) )
& ( incident_o(sK22(X3,X4),X3)
| incident_c(sK22(X3,X4),X4) ) ) ),
introduced(choice_axiom,[]) ).
fof(f161,plain,
! [X0,X1,X2,X3] :
( ? [X6] :
( between_c(X6,X0,X2,X1)
& ! [X7] :
( ( incident_c(X7,X6)
| ~ incident_o(X7,X3) )
& ( incident_o(X7,X3)
| ~ incident_c(X7,X6) ) ) )
=> ( between_c(sK23(X0,X1,X2,X3),X0,X2,X1)
& ! [X7] :
( ( incident_c(X7,sK23(X0,X1,X2,X3))
| ~ incident_o(X7,X3) )
& ( incident_o(X7,X3)
| ~ incident_c(X7,sK23(X0,X1,X2,X3)) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f159,plain,
! [X0,X1,X2,X3] :
( ( between_o(X3,X0,X2,X1)
| ! [X4] :
( ~ between_c(X4,X0,X2,X1)
| ? [X5] :
( ( ~ incident_o(X5,X3)
| ~ incident_c(X5,X4) )
& ( incident_o(X5,X3)
| incident_c(X5,X4) ) ) ) )
& ( ? [X6] :
( between_c(X6,X0,X2,X1)
& ! [X7] :
( ( incident_c(X7,X6)
| ~ incident_o(X7,X3) )
& ( incident_o(X7,X3)
| ~ incident_c(X7,X6) ) ) )
| ~ between_o(X3,X0,X2,X1) ) ),
inference(rectify,[],[f158]) ).
fof(f158,plain,
! [X3,X1,X2,X0] :
( ( between_o(X0,X3,X2,X1)
| ! [X4] :
( ~ between_c(X4,X3,X2,X1)
| ? [X5] :
( ( ~ incident_o(X5,X0)
| ~ incident_c(X5,X4) )
& ( incident_o(X5,X0)
| incident_c(X5,X4) ) ) ) )
& ( ? [X4] :
( between_c(X4,X3,X2,X1)
& ! [X5] :
( ( incident_c(X5,X4)
| ~ incident_o(X5,X0) )
& ( incident_o(X5,X0)
| ~ incident_c(X5,X4) ) ) )
| ~ between_o(X0,X3,X2,X1) ) ),
inference(nnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X3,X1,X2,X0] :
( between_o(X0,X3,X2,X1)
<=> ? [X4] :
( between_c(X4,X3,X2,X1)
& ! [X5] :
( incident_c(X5,X4)
<=> incident_o(X5,X0) ) ) ),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X8,X6,X4,X2] :
( ? [X0] :
( ! [X2] :
( incident_o(X2,X8)
<=> incident_c(X2,X0) )
& between_c(X0,X2,X4,X6) )
<=> between_o(X8,X2,X4,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',o3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO117+1 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.13 % 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 21:16:56 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.53 % (12340)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 % (12348)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)
% 0.20/0.55 TRYING [1]
% 0.20/0.55 TRYING [2]
% 0.20/0.55 % (12348)First to succeed.
% 0.20/0.56 % (12339)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)
% 0.20/0.56 % (12356)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)
% 0.20/0.56 % (12352)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.56 % (12348)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 % (12348)------------------------------
% 0.20/0.56 % (12348)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (12348)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (12348)Termination reason: Refutation
% 0.20/0.56
% 0.20/0.56 % (12348)Memory used [KB]: 6012
% 0.20/0.56 % (12348)Time elapsed: 0.014 s
% 0.20/0.56 % (12348)Instructions burned: 12 (million)
% 0.20/0.56 % (12348)------------------------------
% 0.20/0.56 % (12348)------------------------------
% 0.20/0.56 % (12333)Success in time 0.211 s
%------------------------------------------------------------------------------