TSTP Solution File: GEO117+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---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_uns --cores 0 -t %d %s
% Computer : n007.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 16:08:24 EDT 2022
% Result : Theorem 0.21s 0.53s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 34 ( 10 unt; 0 def)
% Number of atoms : 191 ( 11 equ)
% Maximal formula atoms : 12 ( 5 avg)
% Number of connectives : 236 ( 79 ~; 75 |; 70 &)
% ( 8 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-4 aty)
% Number of variables : 130 ( 110 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f279,plain,
$false,
inference(unit_resulting_resolution,[],[f239,f278,f178]) ).
fof(f178,plain,
! [X2,X3,X0,X1] :
( between_c(sK8(X0,X1,X2,X3),X1,X3,X2)
| ~ between_o(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1,X2,X3] :
( ( between_o(X0,X1,X3,X2)
| ! [X4] :
( ~ between_c(X4,X1,X3,X2)
| ( ( ~ incident_o(sK7(X0,X4),X0)
| ~ incident_c(sK7(X0,X4),X4) )
& ( incident_o(sK7(X0,X4),X0)
| incident_c(sK7(X0,X4),X4) ) ) ) )
& ( ( between_c(sK8(X0,X1,X2,X3),X1,X3,X2)
& ! [X7] :
( ( incident_c(X7,sK8(X0,X1,X2,X3))
| ~ incident_o(X7,X0) )
& ( incident_o(X7,X0)
| ~ incident_c(X7,sK8(X0,X1,X2,X3)) ) ) )
| ~ between_o(X0,X1,X3,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8])],[f100,f102,f101]) ).
fof(f101,plain,
! [X0,X4] :
( ? [X5] :
( ( ~ incident_o(X5,X0)
| ~ incident_c(X5,X4) )
& ( incident_o(X5,X0)
| incident_c(X5,X4) ) )
=> ( ( ~ incident_o(sK7(X0,X4),X0)
| ~ incident_c(sK7(X0,X4),X4) )
& ( incident_o(sK7(X0,X4),X0)
| incident_c(sK7(X0,X4),X4) ) ) ),
introduced(choice_axiom,[]) ).
fof(f102,plain,
! [X0,X1,X2,X3] :
( ? [X6] :
( between_c(X6,X1,X3,X2)
& ! [X7] :
( ( incident_c(X7,X6)
| ~ incident_o(X7,X0) )
& ( incident_o(X7,X0)
| ~ incident_c(X7,X6) ) ) )
=> ( between_c(sK8(X0,X1,X2,X3),X1,X3,X2)
& ! [X7] :
( ( incident_c(X7,sK8(X0,X1,X2,X3))
| ~ incident_o(X7,X0) )
& ( incident_o(X7,X0)
| ~ incident_c(X7,sK8(X0,X1,X2,X3)) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f100,plain,
! [X0,X1,X2,X3] :
( ( between_o(X0,X1,X3,X2)
| ! [X4] :
( ~ between_c(X4,X1,X3,X2)
| ? [X5] :
( ( ~ incident_o(X5,X0)
| ~ incident_c(X5,X4) )
& ( incident_o(X5,X0)
| incident_c(X5,X4) ) ) ) )
& ( ? [X6] :
( between_c(X6,X1,X3,X2)
& ! [X7] :
( ( incident_c(X7,X6)
| ~ incident_o(X7,X0) )
& ( incident_o(X7,X0)
| ~ incident_c(X7,X6) ) ) )
| ~ between_o(X0,X1,X3,X2) ) ),
inference(rectify,[],[f99]) ).
fof(f99,plain,
! [X0,X2,X1,X3] :
( ( between_o(X0,X2,X3,X1)
| ! [X4] :
( ~ between_c(X4,X2,X3,X1)
| ? [X5] :
( ( ~ incident_o(X5,X0)
| ~ incident_c(X5,X4) )
& ( incident_o(X5,X0)
| incident_c(X5,X4) ) ) ) )
& ( ? [X4] :
( between_c(X4,X2,X3,X1)
& ! [X5] :
( ( incident_c(X5,X4)
| ~ incident_o(X5,X0) )
& ( incident_o(X5,X0)
| ~ incident_c(X5,X4) ) ) )
| ~ between_o(X0,X2,X3,X1) ) ),
inference(nnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X2,X1,X3] :
( between_o(X0,X2,X3,X1)
<=> ? [X4] :
( between_c(X4,X2,X3,X1)
& ! [X5] :
( incident_c(X5,X4)
<=> incident_o(X5,X0) ) ) ),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X8,X6,X2,X4] :
( ? [X0] :
( ! [X2] :
( incident_c(X2,X0)
<=> incident_o(X2,X8) )
& between_c(X0,X2,X4,X6) )
<=> between_o(X8,X2,X4,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',o3) ).
fof(f278,plain,
between_o(sK17,sK16,sK16,sK16),
inference(resolution,[],[f268,f209]) ).
fof(f209,plain,
ordered_by(sK17,sK16,sK16),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
ordered_by(sK17,sK16,sK16),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16,sK17])],[f131,f132]) ).
fof(f132,plain,
( ? [X0,X1] : ordered_by(X1,X0,X0)
=> ordered_by(sK17,sK16,sK16) ),
introduced(choice_axiom,[]) ).
fof(f131,plain,
? [X0,X1] : ordered_by(X1,X0,X0),
inference(rectify,[],[f75]) ).
fof(f75,plain,
? [X1,X0] : ordered_by(X0,X1,X1),
inference(ennf_transformation,[],[f50]) ).
fof(f50,plain,
~ ! [X0,X1] : ~ ordered_by(X0,X1,X1),
inference(rectify,[],[f29]) ).
fof(f29,negated_conjecture,
~ ! [X8,X2] : ~ ordered_by(X8,X2,X2),
inference(negated_conjecture,[],[f28]) ).
fof(f28,conjecture,
! [X8,X2] : ~ ordered_by(X8,X2,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_4_4) ).
fof(f268,plain,
! [X0] :
( ~ ordered_by(sK17,X0,sK16)
| between_o(sK17,sK16,sK16,X0) ),
inference(resolution,[],[f209,f200]) ).
fof(f200,plain,
! [X2,X3,X0,X1] :
( ~ ordered_by(X2,X1,X3)
| ~ ordered_by(X2,X0,X1)
| between_o(X2,X3,X1,X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0,X1,X2,X3] :
( ( ( ordered_by(X2,X0,X1)
& ordered_by(X2,X1,X3) )
| ( ordered_by(X2,X1,X0)
& ordered_by(X2,X3,X1) )
| ~ between_o(X2,X3,X1,X0) )
& ( between_o(X2,X3,X1,X0)
| ( ( ~ ordered_by(X2,X0,X1)
| ~ ordered_by(X2,X1,X3) )
& ( ~ ordered_by(X2,X1,X0)
| ~ ordered_by(X2,X3,X1) ) ) ) ),
inference(rectify,[],[f124]) ).
fof(f124,plain,
! [X2,X3,X1,X0] :
( ( ( ordered_by(X1,X2,X3)
& ordered_by(X1,X3,X0) )
| ( ordered_by(X1,X3,X2)
& ordered_by(X1,X0,X3) )
| ~ between_o(X1,X0,X3,X2) )
& ( between_o(X1,X0,X3,X2)
| ( ( ~ ordered_by(X1,X2,X3)
| ~ ordered_by(X1,X3,X0) )
& ( ~ ordered_by(X1,X3,X2)
| ~ ordered_by(X1,X0,X3) ) ) ) ),
inference(flattening,[],[f123]) ).
fof(f123,plain,
! [X2,X3,X1,X0] :
( ( ( ordered_by(X1,X2,X3)
& ordered_by(X1,X3,X0) )
| ( ordered_by(X1,X3,X2)
& ordered_by(X1,X0,X3) )
| ~ between_o(X1,X0,X3,X2) )
& ( between_o(X1,X0,X3,X2)
| ( ( ~ ordered_by(X1,X2,X3)
| ~ ordered_by(X1,X3,X0) )
& ( ~ ordered_by(X1,X3,X2)
| ~ ordered_by(X1,X0,X3) ) ) ) ),
inference(nnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X2,X3,X1,X0] :
( ( ( ordered_by(X1,X2,X3)
& ordered_by(X1,X3,X0) )
| ( ordered_by(X1,X3,X2)
& ordered_by(X1,X0,X3) ) )
<=> between_o(X1,X0,X3,X2) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X2,X8,X6,X4] :
( ( ( ordered_by(X8,X6,X4)
& ordered_by(X8,X4,X2) )
| ( ordered_by(X8,X2,X4)
& ordered_by(X8,X4,X6) ) )
<=> between_o(X8,X2,X4,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',between_o_defn) ).
fof(f239,plain,
! [X3,X0,X1] : ~ between_c(X0,X3,X1,X3),
inference(equality_resolution,[],[f181]) ).
fof(f181,plain,
! [X2,X3,X0,X1] :
( X2 != X3
| ~ between_c(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0,X1,X2,X3] :
( ( between_c(X0,X2,X1,X3)
| ! [X4] :
( ~ end_point(X3,X4)
| ~ end_point(X2,X4)
| ~ part_of(X4,X0)
| ~ inner_point(X1,X4) )
| X2 = X3 )
& ( ( end_point(X3,sK9(X0,X1,X2,X3))
& end_point(X2,sK9(X0,X1,X2,X3))
& part_of(sK9(X0,X1,X2,X3),X0)
& inner_point(X1,sK9(X0,X1,X2,X3))
& X2 != X3 )
| ~ between_c(X0,X2,X1,X3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f106,f107]) ).
fof(f107,plain,
! [X0,X1,X2,X3] :
( ? [X5] :
( end_point(X3,X5)
& end_point(X2,X5)
& part_of(X5,X0)
& inner_point(X1,X5) )
=> ( end_point(X3,sK9(X0,X1,X2,X3))
& end_point(X2,sK9(X0,X1,X2,X3))
& part_of(sK9(X0,X1,X2,X3),X0)
& inner_point(X1,sK9(X0,X1,X2,X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f106,plain,
! [X0,X1,X2,X3] :
( ( between_c(X0,X2,X1,X3)
| ! [X4] :
( ~ end_point(X3,X4)
| ~ end_point(X2,X4)
| ~ part_of(X4,X0)
| ~ inner_point(X1,X4) )
| X2 = X3 )
& ( ( ? [X5] :
( end_point(X3,X5)
& end_point(X2,X5)
& part_of(X5,X0)
& inner_point(X1,X5) )
& X2 != X3 )
| ~ between_c(X0,X2,X1,X3) ) ),
inference(rectify,[],[f105]) ).
fof(f105,plain,
! [X1,X0,X2,X3] :
( ( between_c(X1,X2,X0,X3)
| ! [X4] :
( ~ end_point(X3,X4)
| ~ end_point(X2,X4)
| ~ part_of(X4,X1)
| ~ inner_point(X0,X4) )
| X2 = X3 )
& ( ( ? [X4] :
( end_point(X3,X4)
& end_point(X2,X4)
& part_of(X4,X1)
& inner_point(X0,X4) )
& X2 != X3 )
| ~ between_c(X1,X2,X0,X3) ) ),
inference(flattening,[],[f104]) ).
fof(f104,plain,
! [X1,X0,X2,X3] :
( ( between_c(X1,X2,X0,X3)
| ! [X4] :
( ~ end_point(X3,X4)
| ~ end_point(X2,X4)
| ~ part_of(X4,X1)
| ~ inner_point(X0,X4) )
| X2 = X3 )
& ( ( ? [X4] :
( end_point(X3,X4)
& end_point(X2,X4)
& part_of(X4,X1)
& inner_point(X0,X4) )
& X2 != X3 )
| ~ between_c(X1,X2,X0,X3) ) ),
inference(nnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X1,X0,X2,X3] :
( between_c(X1,X2,X0,X3)
<=> ( ? [X4] :
( end_point(X3,X4)
& end_point(X2,X4)
& part_of(X4,X1)
& inner_point(X0,X4) )
& X2 != X3 ) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X4,X0,X2,X6] :
( between_c(X0,X2,X4,X6)
<=> ( X2 != X6
& ? [X7] :
( end_point(X6,X7)
& end_point(X2,X7)
& part_of(X7,X0)
& inner_point(X4,X7) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',between_c_defn) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO117+1 : TPTP v8.1.0. Released v2.4.0.
% 0.13/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34 % Computer : n007.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
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 29 21:00:45 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.51 % (24919)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.21/0.51 % (24901)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)
% 0.21/0.51 % (24913)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.21/0.51 % (24905)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.51 % (24901)Refutation not found, incomplete strategy% (24901)------------------------------
% 0.21/0.51 % (24901)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (24899)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)
% 0.21/0.51 % (24901)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51 % (24901)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.51
% 0.21/0.51 % (24901)Memory used [KB]: 5884
% 0.21/0.51 % (24901)Time elapsed: 0.060 s
% 0.21/0.51 % (24901)Instructions burned: 2 (million)
% 0.21/0.51 % (24901)------------------------------
% 0.21/0.51 % (24901)------------------------------
% 0.21/0.51 % (24910)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.21/0.51 % (24899)Refutation not found, incomplete strategy% (24899)------------------------------
% 0.21/0.51 % (24899)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (24899)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51 % (24899)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.51
% 0.21/0.51 % (24899)Memory used [KB]: 6012
% 0.21/0.51 % (24899)Time elapsed: 0.109 s
% 0.21/0.51 % (24899)Instructions burned: 3 (million)
% 0.21/0.51 % (24899)------------------------------
% 0.21/0.51 % (24899)------------------------------
% 0.21/0.52 % (24898)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.21/0.52 % (24905)Instruction limit reached!
% 0.21/0.52 % (24905)------------------------------
% 0.21/0.52 % (24905)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (24902)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)
% 0.21/0.52 % (24905)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (24905)Termination reason: Unknown
% 0.21/0.52 % (24905)Termination phase: Saturation
% 0.21/0.52
% 0.21/0.52 % (24905)Memory used [KB]: 6140
% 0.21/0.52 % (24905)Time elapsed: 0.060 s
% 0.21/0.52 % (24905)Instructions burned: 7 (million)
% 0.21/0.52 % (24905)------------------------------
% 0.21/0.52 % (24905)------------------------------
% 0.21/0.52 % (24919)First to succeed.
% 0.21/0.52 % (24914)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.52 % (24893)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.52 % (24893)Refutation not found, incomplete strategy% (24893)------------------------------
% 0.21/0.52 % (24893)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (24893)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (24893)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.52
% 0.21/0.52 % (24893)Memory used [KB]: 5884
% 0.21/0.52 % (24893)Time elapsed: 0.110 s
% 0.21/0.52 % (24893)------------------------------
% 0.21/0.52 % (24893)------------------------------
% 0.21/0.52 % (24896)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.21/0.52 % (24895)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.21/0.52 % (24895)Refutation not found, incomplete strategy% (24895)------------------------------
% 0.21/0.52 % (24895)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (24895)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (24895)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.52
% 0.21/0.52 % (24895)Memory used [KB]: 1407
% 0.21/0.52 % (24895)Time elapsed: 0.115 s
% 0.21/0.52 % (24895)Instructions burned: 1 (million)
% 0.21/0.52 % (24895)------------------------------
% 0.21/0.52 % (24895)------------------------------
% 0.21/0.53 % (24906)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.53 % (24919)Refutation found. Thanks to Tanya!
% 0.21/0.53 % SZS status Theorem for theBenchmark
% 0.21/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.53 % (24919)------------------------------
% 0.21/0.53 % (24919)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (24919)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (24919)Termination reason: Refutation
% 0.21/0.53
% 0.21/0.53 % (24919)Memory used [KB]: 6140
% 0.21/0.53 % (24919)Time elapsed: 0.118 s
% 0.21/0.53 % (24919)Instructions burned: 6 (million)
% 0.21/0.53 % (24919)------------------------------
% 0.21/0.53 % (24919)------------------------------
% 0.21/0.53 % (24886)Success in time 0.171 s
%------------------------------------------------------------------------------