TSTP Solution File: GEO037-3 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO037-3 : TPTP v8.1.0. Released v1.0.0.
% 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 : n006.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 16:11:37 EDT 2022
% Result : Unsatisfiable 2.88s 0.72s
% Output : Refutation 2.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of formulae : 30 ( 15 unt; 0 def)
% Number of atoms : 49 ( 10 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 38 ( 19 ~; 16 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-4 aty)
% Number of variables : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1348,plain,
$false,
inference(avatar_sat_refutation,[],[f87,f98,f735,f1347]) ).
fof(f1347,plain,
spl2_3,
inference(avatar_split_clause,[],[f1338,f84]) ).
fof(f84,plain,
( spl2_3
<=> equidistant(v,sF0,x,sF1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
fof(f1338,plain,
equidistant(v,sF0,x,sF1),
inference(resolution,[],[f976,f126]) ).
fof(f126,plain,
equidistant(lower_dimension_point_1,lower_dimension_point_2,x,sF1),
inference(resolution,[],[f21,f120]) ).
fof(f120,plain,
equidistant(x,sF1,lower_dimension_point_1,lower_dimension_point_2),
inference(superposition,[],[f5,f73]) ).
fof(f73,plain,
extension(w,x,lower_dimension_point_1,lower_dimension_point_2) = sF1,
introduced(function_definition,[]) ).
fof(f5,axiom,
! [X3,X0,X1,X5] : equidistant(X1,extension(X0,X1,X5,X3),X5,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',segment_construction2) ).
fof(f21,axiom,
! [X3,X10,X0,X5] :
( ~ equidistant(X10,X3,X5,X0)
| equidistant(X5,X0,X10,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2) ).
fof(f976,plain,
! [X80,X81] :
( ~ equidistant(lower_dimension_point_1,lower_dimension_point_2,X80,X81)
| equidistant(v,sF0,X80,X81) ),
inference(resolution,[],[f28,f119]) ).
fof(f119,plain,
equidistant(v,sF0,lower_dimension_point_1,lower_dimension_point_2),
inference(superposition,[],[f5,f72]) ).
fof(f72,plain,
extension(u,v,lower_dimension_point_1,lower_dimension_point_2) = sF0,
introduced(function_definition,[]) ).
fof(f28,axiom,
! [X2,X3,X10,X0,X1,X5] :
( ~ equidistant(X10,X3,X5,X0)
| equidistant(X10,X3,X1,X2)
| ~ equidistant(X5,X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5) ).
fof(f735,plain,
~ spl2_1,
inference(avatar_contradiction_clause,[],[f734]) ).
fof(f734,plain,
( $false
| ~ spl2_1 ),
inference(trivial_inequality_removal,[],[f713]) ).
fof(f713,plain,
( lower_dimension_point_1 != lower_dimension_point_1
| ~ spl2_1 ),
inference(superposition,[],[f58,f702]) ).
fof(f702,plain,
( lower_dimension_point_1 = lower_dimension_point_2
| ~ spl2_1 ),
inference(resolution,[],[f619,f3]) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ equidistant(X0,X1,X2,X2)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_for_equidistance) ).
fof(f619,plain,
( equidistant(lower_dimension_point_1,lower_dimension_point_2,v,v)
| ~ spl2_1 ),
inference(superposition,[],[f125,f78]) ).
fof(f78,plain,
( v = sF0
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f76,plain,
( spl2_1
<=> v = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f125,plain,
equidistant(lower_dimension_point_1,lower_dimension_point_2,v,sF0),
inference(resolution,[],[f21,f119]) ).
fof(f58,axiom,
lower_dimension_point_1 != lower_dimension_point_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e2_1) ).
fof(f98,plain,
spl2_2,
inference(avatar_split_clause,[],[f96,f80]) ).
fof(f80,plain,
( spl2_2
<=> between(u,v,sF0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f96,plain,
between(u,v,sF0),
inference(superposition,[],[f4,f72]) ).
fof(f4,axiom,
! [X3,X0,X1,X5] : between(X0,X1,extension(X0,X1,X5,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',segment_construction1) ).
fof(f87,plain,
( spl2_1
| ~ spl2_2
| ~ spl2_3 ),
inference(avatar_split_clause,[],[f74,f84,f80,f76]) ).
fof(f74,plain,
( ~ equidistant(v,sF0,x,sF1)
| ~ between(u,v,sF0)
| v = sF0 ),
inference(definition_folding,[],[f61,f72,f73,f72,f72]) ).
fof(f61,axiom,
( v = extension(u,v,lower_dimension_point_1,lower_dimension_point_2)
| ~ equidistant(v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2),x,extension(w,x,lower_dimension_point_1,lower_dimension_point_2))
| ~ between(u,v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_lengthen) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO037-3 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n006.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
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 29 20:59:55 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.55 % (12484)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.55 % (12482)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.56 % (12482)Instruction limit reached!
% 0.20/0.56 % (12482)------------------------------
% 0.20/0.56 % (12482)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (12482)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (12482)Termination reason: Unknown
% 0.20/0.56 % (12482)Termination phase: Property scanning
% 0.20/0.56
% 0.20/0.56 % (12482)Memory used [KB]: 895
% 0.20/0.56 % (12482)Time elapsed: 0.003 s
% 0.20/0.56 % (12482)Instructions burned: 2 (million)
% 0.20/0.56 % (12482)------------------------------
% 0.20/0.56 % (12482)------------------------------
% 0.20/0.56 % (12474)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)
% 0.20/0.57 % (12490)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)
% 0.20/0.58 % (12476)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)
% 0.20/0.58 TRYING [3]
% 0.20/0.59 % (12489)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)
% 0.20/0.59 % (12492)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.59 % (12479)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)
% 0.20/0.60 % (12483)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)
% 0.20/0.60 % (12475)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)
% 0.20/0.60 % (12480)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)
% 0.20/0.60 % (12503)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)
% 0.20/0.61 % (12477)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)
% 0.20/0.61 % (12478)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.91/0.62 % (12495)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.91/0.62 % (12497)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)
% 1.91/0.62 % (12494)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)
% 1.91/0.62 % (12488)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)
% 1.91/0.62 % (12485)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)
% 1.91/0.63 % (12487)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.91/0.63 % (12486)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.91/0.63 % (12498)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.91/0.63 % (12493)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)
% 2.17/0.63 % (12502)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 2.17/0.63 TRYING [3]
% 2.17/0.63 % (12499)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 2.17/0.64 % (12476)Instruction limit reached!
% 2.17/0.64 % (12476)------------------------------
% 2.17/0.64 % (12476)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.64 % (12476)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.64 % (12476)Termination reason: Unknown
% 2.17/0.64 % (12476)Termination phase: Saturation
% 2.17/0.64
% 2.17/0.64 % (12476)Memory used [KB]: 1151
% 2.17/0.64 % (12476)Time elapsed: 0.189 s
% 2.17/0.64 % (12476)Instructions burned: 38 (million)
% 2.17/0.64 % (12476)------------------------------
% 2.17/0.64 % (12476)------------------------------
% 2.17/0.64 % (12496)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)
% 2.17/0.64 % (12501)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)
% 2.17/0.64 % (12481)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 2.17/0.64 % (12491)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 2.33/0.65 % (12484)Instruction limit reached!
% 2.33/0.65 % (12484)------------------------------
% 2.33/0.65 % (12484)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.33/0.65 % (12484)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.33/0.65 % (12484)Termination reason: Unknown
% 2.33/0.65 % (12484)Termination phase: Saturation
% 2.33/0.65
% 2.33/0.65 % (12484)Memory used [KB]: 6012
% 2.33/0.65 % (12484)Time elapsed: 0.236 s
% 2.33/0.65 % (12484)Instructions burned: 50 (million)
% 2.33/0.65 % (12484)------------------------------
% 2.33/0.65 % (12484)------------------------------
% 2.33/0.65 % (12500)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)
% 2.33/0.67 % (12481)Instruction limit reached!
% 2.33/0.67 % (12481)------------------------------
% 2.33/0.67 % (12481)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.33/0.67 % (12481)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.33/0.67 % (12481)Termination reason: Unknown
% 2.33/0.67 % (12481)Termination phase: Saturation
% 2.33/0.67
% 2.33/0.67 % (12481)Memory used [KB]: 5500
% 2.33/0.67 % (12481)Time elapsed: 0.246 s
% 2.33/0.67 % (12481)Instructions burned: 8 (million)
% 2.33/0.67 % (12481)------------------------------
% 2.33/0.67 % (12481)------------------------------
% 2.33/0.67 TRYING [3]
% 2.33/0.69 % (12480)Instruction limit reached!
% 2.33/0.69 % (12480)------------------------------
% 2.33/0.69 % (12480)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.33/0.69 % (12480)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.33/0.69 % (12480)Termination reason: Unknown
% 2.33/0.69 % (12480)Termination phase: Finite model building constraint generation
% 2.33/0.69
% 2.33/0.69 % (12480)Memory used [KB]: 9850
% 2.33/0.69 % (12480)Time elapsed: 0.237 s
% 2.33/0.69 % (12480)Instructions burned: 52 (million)
% 2.33/0.69 % (12480)------------------------------
% 2.33/0.69 % (12480)------------------------------
% 2.33/0.70 % (12479)Instruction limit reached!
% 2.33/0.70 % (12479)------------------------------
% 2.33/0.70 % (12479)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.33/0.70 % (12479)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.33/0.70 % (12479)Termination reason: Unknown
% 2.33/0.70 % (12479)Termination phase: Saturation
% 2.33/0.70
% 2.33/0.70 % (12479)Memory used [KB]: 5756
% 2.33/0.70 % (12479)Time elapsed: 0.288 s
% 2.33/0.70 % (12479)Instructions burned: 48 (million)
% 2.33/0.70 % (12479)------------------------------
% 2.33/0.70 % (12479)------------------------------
% 2.33/0.72 % (12475)Refutation not found, incomplete strategy% (12475)------------------------------
% 2.33/0.72 % (12475)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.33/0.72 % (12475)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.33/0.72 % (12475)Termination reason: Refutation not found, incomplete strategy
% 2.33/0.72
% 2.33/0.72 % (12475)Memory used [KB]: 5884
% 2.33/0.72 % (12475)Time elapsed: 0.278 s
% 2.33/0.72 % (12475)Instructions burned: 45 (million)
% 2.33/0.72 % (12475)------------------------------
% 2.33/0.72 % (12475)------------------------------
% 2.33/0.72 % (12477)First to succeed.
% 2.88/0.72 % (12477)Refutation found. Thanks to Tanya!
% 2.88/0.72 % SZS status Unsatisfiable for theBenchmark
% 2.88/0.72 % SZS output start Proof for theBenchmark
% See solution above
% 2.88/0.72 % (12477)------------------------------
% 2.88/0.72 % (12477)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.88/0.72 % (12477)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.88/0.72 % (12477)Termination reason: Refutation
% 2.88/0.72
% 2.88/0.72 % (12477)Memory used [KB]: 5884
% 2.88/0.72 % (12477)Time elapsed: 0.298 s
% 2.88/0.72 % (12477)Instructions burned: 44 (million)
% 2.88/0.72 % (12477)------------------------------
% 2.88/0.72 % (12477)------------------------------
% 2.88/0.72 % (12473)Success in time 0.366 s
%------------------------------------------------------------------------------