TSTP Solution File: GEO006-1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO006-1 : 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 : 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 16:11:26 EDT 2022
% Result : Unsatisfiable 0.19s 0.58s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 18
% Syntax : Number of formulae : 56 ( 13 unt; 0 def)
% Number of atoms : 116 ( 14 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 114 ( 54 ~; 53 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 8 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-5 aty)
% Number of variables : 40 ( 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1307,plain,
$false,
inference(avatar_sat_refutation,[],[f34,f55,f1235,f1248,f1250,f1278,f1280,f1306]) ).
fof(f1306,plain,
( ~ spl0_5
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f1305]) ).
fof(f1305,plain,
( $false
| ~ spl0_5
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f1290]) ).
fof(f1290,plain,
( c != c
| ~ spl0_5
| ~ spl0_8 ),
inference(superposition,[],[f23,f1284]) ).
fof(f1284,plain,
( c = d
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f1281,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ between(X0,X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_for_betweeness) ).
fof(f1281,plain,
( between(d,c,d)
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f1273,f1252]) ).
fof(f1252,plain,
( ! [X1] :
( ~ between(X1,c,a)
| between(X1,c,d) )
| ~ spl0_5 ),
inference(resolution,[],[f1243,f2]) ).
fof(f2,axiom,
! [X2,X3,X0,X1] :
( ~ between(X1,X3,X2)
| between(X0,X1,X3)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_for_betweeness) ).
fof(f1243,plain,
( between(c,d,a)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f1241]) ).
fof(f1241,plain,
( spl0_5
<=> between(c,d,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f1273,plain,
( between(d,c,a)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f1271]) ).
fof(f1271,plain,
( spl0_8
<=> between(d,c,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f23,axiom,
c != d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_not_d) ).
fof(f1280,plain,
spl0_9,
inference(avatar_contradiction_clause,[],[f1279]) ).
fof(f1279,plain,
( $false
| spl0_9 ),
inference(resolution,[],[f1277,f38]) ).
fof(f38,plain,
! [X3,X4] : between(X3,X4,X4),
inference(superposition,[],[f13,f36]) ).
fof(f36,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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',segment_construction2) ).
fof(f13,axiom,
! [X2,X0,X1,X5] : between(X0,X1,extension(X0,X1,X5,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',segment_construction1) ).
fof(f1277,plain,
( ~ between(a,c,c)
| spl0_9 ),
inference(avatar_component_clause,[],[f1275]) ).
fof(f1275,plain,
( spl0_9
<=> between(a,c,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f1278,plain,
( spl0_8
| ~ spl0_9
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f1268,f1230,f1275,f1271]) ).
fof(f1230,plain,
( spl0_4
<=> between(a,c,d) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f1268,plain,
( ~ between(a,c,d)
| ~ between(a,c,c)
| between(d,c,a) ),
inference(superposition,[],[f8,f1257]) ).
fof(f1257,plain,
a = outer_pasch(c,a,a,d,c),
inference(resolution,[],[f1219,f38]) ).
fof(f1219,plain,
! [X21] :
( ~ between(a,X21,c)
| a = outer_pasch(X21,a,a,d,c) ),
inference(resolution,[],[f68,f24]) ).
fof(f24,axiom,
between(a,c,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_between_a_and_d) ).
fof(f68,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(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/sandbox2/benchmark/theBenchmark.p',outer_pasch1) ).
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/sandbox2/benchmark/theBenchmark.p',outer_pasch2) ).
fof(f1250,plain,
spl0_6,
inference(avatar_contradiction_clause,[],[f1249]) ).
fof(f1249,plain,
( $false
| spl0_6 ),
inference(resolution,[],[f1247,f38]) ).
fof(f1247,plain,
( ~ between(a,d,d)
| spl0_6 ),
inference(avatar_component_clause,[],[f1245]) ).
fof(f1245,plain,
( spl0_6
<=> between(a,d,d) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f1248,plain,
( spl0_5
| ~ spl0_1
| ~ spl0_6
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f1238,f27,f1245,f27,f1241]) ).
fof(f27,plain,
( spl0_1
<=> between(a,d,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f1238,plain,
( ~ between(a,d,d)
| ~ between(a,d,c)
| between(c,d,a)
| ~ spl0_1 ),
inference(superposition,[],[f8,f1221]) ).
fof(f1221,plain,
( a = outer_pasch(d,a,a,c,d)
| ~ spl0_1 ),
inference(resolution,[],[f1218,f38]) ).
fof(f1218,plain,
( ! [X20] :
( ~ between(a,X20,d)
| a = outer_pasch(X20,a,a,c,d) )
| ~ spl0_1 ),
inference(resolution,[],[f68,f29]) ).
fof(f29,plain,
( between(a,d,c)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f27]) ).
fof(f1235,plain,
spl0_4,
inference(avatar_contradiction_clause,[],[f1234]) ).
fof(f1234,plain,
( $false
| spl0_4 ),
inference(resolution,[],[f1232,f24]) ).
fof(f1232,plain,
( ~ between(a,c,d)
| spl0_4 ),
inference(avatar_component_clause,[],[f1230]) ).
fof(f55,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f54]) ).
fof(f54,plain,
( $false
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f53]) ).
fof(f53,plain,
( a != a
| ~ spl0_2 ),
inference(superposition,[],[f21,f46]) ).
fof(f46,plain,
( a = c
| ~ spl0_2 ),
inference(resolution,[],[f45,f1]) ).
fof(f45,plain,
( between(a,c,a)
| ~ spl0_2 ),
inference(resolution,[],[f41,f24]) ).
fof(f41,plain,
( ! [X0] :
( ~ between(X0,c,d)
| between(X0,c,a) )
| ~ spl0_2 ),
inference(resolution,[],[f2,f33]) ).
fof(f33,plain,
( between(c,a,d)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f31]) ).
fof(f31,plain,
( spl0_2
<=> between(c,a,d) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f21,axiom,
a != c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_c) ).
fof(f34,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f25,f31,f27]) ).
fof(f25,axiom,
( between(c,a,d)
| between(a,d,c) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_not_between_others) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO006-1 : 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 : 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 20:56:56 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (5246)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.50 % (5229)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)
% 0.19/0.50 % (5232)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)
% 0.19/0.50 % (5234)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)
% 0.19/0.50 % (5241)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)
% 0.19/0.50 TRYING [3]
% 0.19/0.51 % (5253)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)
% 0.19/0.51 % (5239)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (5245)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)
% 0.19/0.51 % (5240)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51 % (5230)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)
% 0.19/0.51 % (5252)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)
% 0.19/0.51 % (5251)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.52 % (5249)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.52 % (5236)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.52 % (5257)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.52 % (5235)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)
% 0.19/0.52 % (5259)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)
% 0.19/0.52 % (5250)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)
% 0.19/0.53 TRYING [3]
% 0.19/0.53 % (5242)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.53 % (5230)Refutation not found, incomplete strategy% (5230)------------------------------
% 0.19/0.53 % (5230)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (5233)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (5258)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.53 % (5254)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.53 % (5230)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (5230)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53
% 0.19/0.53 % (5230)Memory used [KB]: 5500
% 0.19/0.53 % (5230)Time elapsed: 0.130 s
% 0.19/0.53 % (5230)Instructions burned: 3 (million)
% 0.19/0.53 % (5230)------------------------------
% 0.19/0.53 % (5230)------------------------------
% 0.19/0.53 % (5231)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)
% 0.19/0.53 % (5244)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)
% 0.19/0.54 % (5236)Instruction limit reached!
% 0.19/0.54 % (5236)------------------------------
% 0.19/0.54 % (5236)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (5236)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (5236)Termination reason: Unknown
% 0.19/0.54 % (5236)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (5236)Memory used [KB]: 5500
% 0.19/0.54 % (5236)Time elapsed: 0.084 s
% 0.19/0.54 % (5236)Instructions burned: 7 (million)
% 0.19/0.54 % (5236)------------------------------
% 0.19/0.54 % (5236)------------------------------
% 0.19/0.54 % (5247)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.54 % (5255)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.54 % (5243)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.54 TRYING [3]
% 0.19/0.54 % (5248)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54 % (5256)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)
% 0.19/0.54 % (5238)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.55 % (5238)Instruction limit reached!
% 0.19/0.55 % (5238)------------------------------
% 0.19/0.55 % (5238)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (5238)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (5238)Termination reason: Unknown
% 0.19/0.55 % (5238)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (5238)Memory used [KB]: 895
% 0.19/0.55 % (5238)Time elapsed: 0.002 s
% 0.19/0.55 % (5238)Instructions burned: 2 (million)
% 0.19/0.55 % (5238)------------------------------
% 0.19/0.55 % (5238)------------------------------
% 0.19/0.57 % (5232)First to succeed.
% 0.19/0.58 % (5232)Refutation found. Thanks to Tanya!
% 0.19/0.58 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.58 % (5232)------------------------------
% 0.19/0.58 % (5232)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58 % (5232)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58 % (5232)Termination reason: Refutation
% 0.19/0.58
% 0.19/0.58 % (5232)Memory used [KB]: 5884
% 0.19/0.58 % (5232)Time elapsed: 0.175 s
% 0.19/0.58 % (5232)Instructions burned: 45 (million)
% 0.19/0.58 % (5232)------------------------------
% 0.19/0.58 % (5232)------------------------------
% 0.19/0.58 % (5227)Success in time 0.231 s
%------------------------------------------------------------------------------