TSTP Solution File: GEO011-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO011-1 : TPTP v8.1.0. Bugfixed v2.5.0.
% 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 : n029.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 16:11:29 EDT 2022
% Result : Unsatisfiable 0.20s 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 11
% Syntax : Number of formulae : 34 ( 14 unt; 0 def)
% Number of atoms : 67 ( 16 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 61 ( 28 ~; 33 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-5 aty)
% Number of variables : 38 ( 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f197,plain,
$false,
inference(subsumption_resolution,[],[f196,f169]) ).
fof(f169,plain,
between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2),
inference(resolution,[],[f163,f41]) ).
fof(f41,plain,
( between(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_3)
| between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2) ),
inference(subsumption_resolution,[],[f37,f15]) ).
fof(f15,axiom,
~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lower_dimension1) ).
fof(f37,plain,
( between(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_3)
| between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2)
| between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3) ),
inference(resolution,[],[f21,f25]) ).
fof(f25,axiom,
colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_lower_dimension_points_not_colinear) ).
fof(f21,axiom,
! [X3,X0,X1] :
( ~ colinear(X0,X1,X3)
| between(X1,X0,X3)
| between(X0,X1,X3)
| between(X0,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',colinearity1) ).
fof(f163,plain,
~ between(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_3),
inference(subsumption_resolution,[],[f162,f17]) ).
fof(f17,axiom,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lower_dimension3) ).
fof(f162,plain,
( between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2)
| ~ between(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_3) ),
inference(subsumption_resolution,[],[f160,f29]) ).
fof(f29,plain,
! [X3,X4] : between(X3,X4,X4),
inference(superposition,[],[f13,f27]) ).
fof(f27,plain,
! [X2,X0,X1] : extension(X1,X0,X2,X2) = X0,
inference(resolution,[],[f14,f5]) ).
fof(f5,axiom,
! [X3,X0,X1] :
( ~ equidistant(X0,X1,X3,X3)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_for_equidistance) ).
fof(f14,axiom,
! [X2,X0,X1,X5] : equidistant(X1,extension(X0,X1,X5,X2),X5,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',segment_construction2) ).
fof(f13,axiom,
! [X2,X0,X1,X5] : between(X0,X1,extension(X0,X1,X5,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',segment_construction1) ).
fof(f160,plain,
( ~ between(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_1)
| ~ between(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_3)
| between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2) ),
inference(superposition,[],[f8,f158]) ).
fof(f158,plain,
lower_dimension_point_2 = outer_pasch(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
inference(subsumption_resolution,[],[f157,f140]) ).
fof(f140,plain,
( between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2)
| lower_dimension_point_2 = outer_pasch(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1) ),
inference(resolution,[],[f138,f29]) ).
fof(f138,plain,
! [X47] :
( ~ between(lower_dimension_point_2,X47,lower_dimension_point_1)
| between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2)
| lower_dimension_point_2 = outer_pasch(X47,lower_dimension_point_2,lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1) ),
inference(resolution,[],[f43,f41]) ).
fof(f43,plain,
! [X2,X3,X0,X1] :
( ~ between(X0,X2,X3)
| ~ between(X0,X1,X2)
| outer_pasch(X1,X0,X0,X3,X2) = X0 ),
inference(resolution,[],[f7,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ between(X0,X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_for_betweeness) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X5] :
( between(X0,outer_pasch(X5,X0,X1,X3,X2),X1)
| ~ between(X0,X5,X2)
| ~ between(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',outer_pasch1) ).
fof(f157,plain,
( lower_dimension_point_2 = outer_pasch(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1)
| ~ between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2) ),
inference(subsumption_resolution,[],[f156,f16]) ).
fof(f16,axiom,
~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lower_dimension2) ).
fof(f156,plain,
( between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1)
| lower_dimension_point_2 = outer_pasch(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1)
| ~ between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2) ),
inference(subsumption_resolution,[],[f154,f29]) ).
fof(f154,plain,
( ~ between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_3)
| lower_dimension_point_2 = outer_pasch(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1)
| between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1)
| ~ between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2) ),
inference(superposition,[],[f8,f145]) ).
fof(f145,plain,
( lower_dimension_point_1 = outer_pasch(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3)
| lower_dimension_point_2 = outer_pasch(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1) ),
inference(resolution,[],[f142,f29]) ).
fof(f142,plain,
! [X0] :
( ~ between(lower_dimension_point_1,X0,lower_dimension_point_3)
| lower_dimension_point_2 = outer_pasch(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1)
| lower_dimension_point_1 = outer_pasch(X0,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3) ),
inference(resolution,[],[f140,f43]) ).
fof(f8,axiom,
! [X2,X3,X0,X1,X5] :
( between(X3,X5,outer_pasch(X5,X0,X1,X3,X2))
| ~ between(X1,X2,X3)
| ~ between(X0,X5,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',outer_pasch2) ).
fof(f196,plain,
~ between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2),
inference(subsumption_resolution,[],[f195,f29]) ).
fof(f195,plain,
( ~ between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_3)
| ~ between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2) ),
inference(subsumption_resolution,[],[f191,f16]) ).
fof(f191,plain,
( between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1)
| ~ between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_3)
| ~ between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2) ),
inference(superposition,[],[f8,f173]) ).
fof(f173,plain,
lower_dimension_point_1 = outer_pasch(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
inference(resolution,[],[f170,f29]) ).
fof(f170,plain,
! [X0] :
( ~ between(lower_dimension_point_1,X0,lower_dimension_point_3)
| lower_dimension_point_1 = outer_pasch(X0,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3) ),
inference(resolution,[],[f169,f43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO011-1 : TPTP v8.1.0. Bugfixed v2.5.0.
% 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 : n029.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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 21:07:11 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.46 % (18964)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)
% 0.20/0.47 % (18956)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)
% 0.20/0.49 TRYING [1]
% 0.20/0.49 TRYING [2]
% 0.20/0.49 TRYING [3]
% 0.20/0.51 % (18974)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.51 % (18972)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)
% 0.20/0.51 % (18973)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.51 % (18963)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.51 % (18965)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.51 % (18962)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.52 % (18957)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52 % (18954)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 % (18953)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 % (18955)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 % (18961)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)
% 0.20/0.53 % (18957)Instruction limit reached!
% 0.20/0.53 % (18957)------------------------------
% 0.20/0.53 % (18957)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (18957)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (18957)Termination reason: Unknown
% 0.20/0.53 % (18957)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (18957)Memory used [KB]: 5500
% 0.20/0.53 % (18957)Time elapsed: 0.075 s
% 0.20/0.53 % (18957)Instructions burned: 8 (million)
% 0.20/0.53 % (18957)------------------------------
% 0.20/0.53 % (18957)------------------------------
% 0.20/0.53 % (18956)Instruction limit reached!
% 0.20/0.53 % (18956)------------------------------
% 0.20/0.53 % (18956)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (18956)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (18956)Termination reason: Unknown
% 0.20/0.53 % (18956)Termination phase: Finite model building constraint generation
% 0.20/0.53
% 0.20/0.53 % (18956)Memory used [KB]: 9722
% 0.20/0.53 % (18956)Time elapsed: 0.120 s
% 0.20/0.53 % (18956)Instructions burned: 52 (million)
% 0.20/0.53 % (18956)------------------------------
% 0.20/0.53 % (18956)------------------------------
% 0.20/0.53 % (18951)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 % (18951)Refutation not found, incomplete strategy% (18951)------------------------------
% 0.20/0.53 % (18951)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (18951)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (18951)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (18951)Memory used [KB]: 5500
% 0.20/0.53 % (18951)Time elapsed: 0.123 s
% 0.20/0.53 % (18951)Instructions burned: 2 (million)
% 0.20/0.53 % (18951)------------------------------
% 0.20/0.53 % (18951)------------------------------
% 0.20/0.54 % (18976)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)
% 0.20/0.54 % (18975)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.54 % (18965)First to succeed.
% 0.20/0.54 % (18979)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)
% 0.20/0.54 % (18952)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 % (18950)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)
% 0.20/0.54 % (18967)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.54 % (18970)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)
% 0.20/0.54 TRYING [1]
% 0.20/0.54 % (18965)Refutation found. Thanks to Tanya!
% 0.20/0.54 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54 % (18965)------------------------------
% 0.20/0.54 % (18965)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (18965)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (18965)Termination reason: Refutation
% 0.20/0.54
% 0.20/0.54 % (18965)Memory used [KB]: 1151
% 0.20/0.54 % (18965)Time elapsed: 0.075 s
% 0.20/0.54 % (18965)Instructions burned: 21 (million)
% 0.20/0.54 % (18965)------------------------------
% 0.20/0.54 % (18965)------------------------------
% 0.20/0.54 % (18949)Success in time 0.188 s
%------------------------------------------------------------------------------