TSTP Solution File: GEO112+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO112+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 : n004.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 16:08:20 EDT 2022
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 4
% Syntax : Number of formulae : 34 ( 10 unt; 0 def)
% Number of atoms : 124 ( 17 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 145 ( 55 ~; 44 |; 39 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-4 aty)
% Number of variables : 91 ( 73 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f175,plain,
$false,
inference(subsumption_resolution,[],[f167,f140]) ).
fof(f140,plain,
! [X2,X3,X0] : ~ between_c(X0,X2,X3,X2),
inference(equality_resolution,[],[f131]) ).
fof(f131,plain,
! [X2,X3,X0,X1] :
( X1 != X2
| ~ between_c(X0,X2,X3,X1) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0,X1,X2,X3] :
( ( ( part_of(sK14(X0,X1,X2,X3),X0)
& end_point(X1,sK14(X0,X1,X2,X3))
& end_point(X2,sK14(X0,X1,X2,X3))
& inner_point(X3,sK14(X0,X1,X2,X3))
& X1 != X2 )
| ~ between_c(X0,X2,X3,X1) )
& ( between_c(X0,X2,X3,X1)
| ! [X5] :
( ~ part_of(X5,X0)
| ~ end_point(X1,X5)
| ~ end_point(X2,X5)
| ~ inner_point(X3,X5) )
| X1 = X2 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f87,f88]) ).
fof(f88,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( part_of(X4,X0)
& end_point(X1,X4)
& end_point(X2,X4)
& inner_point(X3,X4) )
=> ( part_of(sK14(X0,X1,X2,X3),X0)
& end_point(X1,sK14(X0,X1,X2,X3))
& end_point(X2,sK14(X0,X1,X2,X3))
& inner_point(X3,sK14(X0,X1,X2,X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f87,plain,
! [X0,X1,X2,X3] :
( ( ( ? [X4] :
( part_of(X4,X0)
& end_point(X1,X4)
& end_point(X2,X4)
& inner_point(X3,X4) )
& X1 != X2 )
| ~ between_c(X0,X2,X3,X1) )
& ( between_c(X0,X2,X3,X1)
| ! [X5] :
( ~ part_of(X5,X0)
| ~ end_point(X1,X5)
| ~ end_point(X2,X5)
| ~ inner_point(X3,X5) )
| X1 = X2 ) ),
inference(rectify,[],[f86]) ).
fof(f86,plain,
! [X2,X0,X1,X3] :
( ( ( ? [X4] :
( part_of(X4,X2)
& end_point(X0,X4)
& end_point(X1,X4)
& inner_point(X3,X4) )
& X0 != X1 )
| ~ between_c(X2,X1,X3,X0) )
& ( between_c(X2,X1,X3,X0)
| ! [X4] :
( ~ part_of(X4,X2)
| ~ end_point(X0,X4)
| ~ end_point(X1,X4)
| ~ inner_point(X3,X4) )
| X0 = X1 ) ),
inference(flattening,[],[f85]) ).
fof(f85,plain,
! [X2,X0,X1,X3] :
( ( ( ? [X4] :
( part_of(X4,X2)
& end_point(X0,X4)
& end_point(X1,X4)
& inner_point(X3,X4) )
& X0 != X1 )
| ~ between_c(X2,X1,X3,X0) )
& ( between_c(X2,X1,X3,X0)
| ! [X4] :
( ~ part_of(X4,X2)
| ~ end_point(X0,X4)
| ~ end_point(X1,X4)
| ~ inner_point(X3,X4) )
| X0 = X1 ) ),
inference(nnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X2,X0,X1,X3] :
( ( ? [X4] :
( part_of(X4,X2)
& end_point(X0,X4)
& end_point(X1,X4)
& inner_point(X3,X4) )
& X0 != X1 )
<=> between_c(X2,X1,X3,X0) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X6,X2,X0,X4] :
( ( ? [X7] :
( inner_point(X4,X7)
& end_point(X2,X7)
& end_point(X6,X7)
& part_of(X7,X0) )
& X2 != X6 )
<=> between_c(X0,X2,X4,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',between_c_defn) ).
fof(f167,plain,
between_c(sK13,sK10,sK12,sK10),
inference(backward_demodulation,[],[f126,f165]) ).
fof(f165,plain,
sK10 = sK11,
inference(subsumption_resolution,[],[f164,f142]) ).
fof(f142,plain,
end_point(sK11,sK14(sK13,sK10,sK11,sK12)),
inference(resolution,[],[f126,f133]) ).
fof(f133,plain,
! [X2,X3,X0,X1] :
( ~ between_c(X0,X2,X3,X1)
| end_point(X2,sK14(X0,X1,X2,X3)) ),
inference(cnf_transformation,[],[f89]) ).
fof(f164,plain,
( sK10 = sK11
| ~ end_point(sK11,sK14(sK13,sK10,sK11,sK12)) ),
inference(subsumption_resolution,[],[f163,f143]) ).
fof(f143,plain,
part_of(sK14(sK13,sK10,sK11,sK12),sK13),
inference(resolution,[],[f126,f135]) ).
fof(f135,plain,
! [X2,X3,X0,X1] :
( ~ between_c(X0,X2,X3,X1)
| part_of(sK14(X0,X1,X2,X3),X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f163,plain,
( ~ part_of(sK14(sK13,sK10,sK11,sK12),sK13)
| ~ end_point(sK11,sK14(sK13,sK10,sK11,sK12))
| sK10 = sK11 ),
inference(subsumption_resolution,[],[f161,f144]) ).
fof(f144,plain,
end_point(sK10,sK14(sK13,sK10,sK11,sK12)),
inference(resolution,[],[f126,f134]) ).
fof(f134,plain,
! [X2,X3,X0,X1] :
( ~ between_c(X0,X2,X3,X1)
| end_point(X1,sK14(X0,X1,X2,X3)) ),
inference(cnf_transformation,[],[f89]) ).
fof(f161,plain,
( ~ end_point(sK10,sK14(sK13,sK10,sK11,sK12))
| ~ part_of(sK14(sK13,sK10,sK11,sK12),sK13)
| ~ end_point(sK11,sK14(sK13,sK10,sK11,sK12))
| sK10 = sK11 ),
inference(resolution,[],[f141,f145]) ).
fof(f145,plain,
inner_point(sK12,sK14(sK13,sK10,sK11,sK12)),
inference(resolution,[],[f126,f132]) ).
fof(f132,plain,
! [X2,X3,X0,X1] :
( ~ between_c(X0,X2,X3,X1)
| inner_point(X3,sK14(X0,X1,X2,X3)) ),
inference(cnf_transformation,[],[f89]) ).
fof(f141,plain,
! [X0] :
( ~ inner_point(sK12,X0)
| ~ end_point(sK10,X0)
| ~ end_point(sK11,X0)
| sK10 = sK11
| ~ part_of(X0,sK13) ),
inference(resolution,[],[f125,f130]) ).
fof(f130,plain,
! [X2,X3,X0,X1,X5] :
( between_c(X0,X2,X3,X1)
| ~ part_of(X5,X0)
| X1 = X2
| ~ inner_point(X3,X5)
| ~ end_point(X1,X5)
| ~ end_point(X2,X5) ),
inference(cnf_transformation,[],[f89]) ).
fof(f125,plain,
~ between_c(sK13,sK10,sK12,sK11),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
( between_c(sK13,sK11,sK12,sK10)
& ~ between_c(sK13,sK10,sK12,sK11) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12,sK13])],[f79,f80]) ).
fof(f80,plain,
( ? [X0,X1,X2,X3] :
( between_c(X3,X1,X2,X0)
& ~ between_c(X3,X0,X2,X1) )
=> ( between_c(sK13,sK11,sK12,sK10)
& ~ between_c(sK13,sK10,sK12,sK11) ) ),
introduced(choice_axiom,[]) ).
fof(f79,plain,
? [X0,X1,X2,X3] :
( between_c(X3,X1,X2,X0)
& ~ between_c(X3,X0,X2,X1) ),
inference(rectify,[],[f34]) ).
fof(f34,plain,
? [X2,X1,X0,X3] :
( between_c(X3,X1,X0,X2)
& ~ between_c(X3,X2,X0,X1) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
~ ! [X0,X1,X2,X3] :
( between_c(X3,X1,X0,X2)
=> between_c(X3,X2,X0,X1) ),
inference(rectify,[],[f19]) ).
fof(f19,negated_conjecture,
~ ! [X4,X2,X6,X0] :
( between_c(X0,X2,X4,X6)
=> between_c(X0,X6,X4,X2) ),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
! [X4,X2,X6,X0] :
( between_c(X0,X2,X4,X6)
=> between_c(X0,X6,X4,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_3_8_2) ).
fof(f126,plain,
between_c(sK13,sK11,sK12,sK10),
inference(cnf_transformation,[],[f81]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO112+1 : TPTP v8.1.0. Released v2.4.0.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n004.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % 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 21:11:04 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.49 % (24579)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.50 % (24582)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)
% 0.19/0.51 % (24579)Instruction limit reached!
% 0.19/0.51 % (24579)------------------------------
% 0.19/0.51 % (24579)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (24577)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.51 % (24608)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)
% 0.19/0.51 % (24582)First to succeed.
% 0.19/0.51 % (24580)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)
% 0.19/0.51 % (24589)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)
% 0.19/0.51 % (24579)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (24579)Termination reason: Unknown
% 0.19/0.51 % (24579)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (24579)Memory used [KB]: 6012
% 0.19/0.51 % (24579)Time elapsed: 0.107 s
% 0.19/0.51 % (24579)Instructions burned: 4 (million)
% 0.19/0.51 % (24579)------------------------------
% 0.19/0.51 % (24579)------------------------------
% 0.19/0.52 % (24596)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)
% 0.19/0.52 % (24598)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.52 % (24592)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)
% 0.19/0.52 % (24598)Instruction limit reached!
% 0.19/0.52 % (24598)------------------------------
% 0.19/0.52 % (24598)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (24598)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (24598)Termination reason: Unknown
% 0.19/0.52 % (24598)Termination phase: Preprocessing 1
% 0.19/0.52
% 0.19/0.52 % (24598)Memory used [KB]: 1407
% 0.19/0.52 % (24598)Time elapsed: 0.002 s
% 0.19/0.52 % (24598)Instructions burned: 2 (million)
% 0.19/0.52 % (24598)------------------------------
% 0.19/0.52 % (24598)------------------------------
% 0.19/0.52 % (24581)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.52 % (24578)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.52 % (24578)Refutation not found, incomplete strategy% (24578)------------------------------
% 0.19/0.52 % (24578)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (24578)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (24578)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (24578)Memory used [KB]: 5884
% 0.19/0.52 % (24578)Time elapsed: 0.093 s
% 0.19/0.52 % (24578)Instructions burned: 1 (million)
% 0.19/0.52 % (24578)------------------------------
% 0.19/0.52 % (24578)------------------------------
% 0.19/0.52 % (24582)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Theorem for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (24582)------------------------------
% 0.19/0.52 % (24582)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (24582)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (24582)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (24582)Memory used [KB]: 1535
% 0.19/0.52 % (24582)Time elapsed: 0.118 s
% 0.19/0.52 % (24582)Instructions burned: 5 (million)
% 0.19/0.52 % (24582)------------------------------
% 0.19/0.52 % (24582)------------------------------
% 0.19/0.52 % (24573)Success in time 0.173 s
%------------------------------------------------------------------------------