TSTP Solution File: GEO037-2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO037-2 : 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 : n025.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 1.50s 0.56s
% Output : Refutation 1.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of formulae : 43 ( 25 unt; 0 def)
% Number of atoms : 65 ( 9 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 44 ( 22 ~; 19 |; 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 : 10 ( 10 usr; 9 con; 0-4 aty)
% Number of variables : 49 ( 49 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f577,plain,
$false,
inference(avatar_sat_refutation,[],[f35,f39,f311,f576]) ).
fof(f576,plain,
~ spl2_1,
inference(avatar_contradiction_clause,[],[f575]) ).
fof(f575,plain,
( $false
| ~ spl2_1 ),
inference(resolution,[],[f438,f44]) ).
fof(f44,plain,
! [X3,X4] : between(X3,X4,X4),
inference(superposition,[],[f4,f40]) ).
fof(f40,plain,
! [X2,X0,X1] : extension(X1,X0,X2,X2) = X0,
inference(resolution,[],[f5,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(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(f4,axiom,
! [X3,X0,X1,X5] : between(X0,X1,extension(X0,X1,X5,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',segment_construction1) ).
fof(f438,plain,
( ~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1)
| ~ spl2_1 ),
inference(superposition,[],[f12,f431]) ).
fof(f431,plain,
( lower_dimension_point_1 = lower_dimension_point_2
| ~ spl2_1 ),
inference(resolution,[],[f344,f3]) ).
fof(f344,plain,
( ! [X0] : equidistant(lower_dimension_point_1,lower_dimension_point_2,X0,X0)
| ~ spl2_1 ),
inference(forward_demodulation,[],[f324,f40]) ).
fof(f324,plain,
( ! [X0,X1] : equidistant(lower_dimension_point_1,lower_dimension_point_2,X0,extension(X1,X0,v,v))
| ~ spl2_1 ),
inference(superposition,[],[f103,f26]) ).
fof(f26,plain,
( v = sF0
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f24]) ).
fof(f24,plain,
( spl2_1
<=> v = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f103,plain,
! [X0,X1] : equidistant(lower_dimension_point_1,lower_dimension_point_2,X0,extension(X1,X0,v,sF0)),
inference(resolution,[],[f93,f47]) ).
fof(f47,plain,
! [X2,X3,X0,X1] :
( ~ equidistant(X3,X2,X0,X1)
| equidistant(X0,X1,X2,X3) ),
inference(resolution,[],[f2,f1]) ).
fof(f1,axiom,
! [X0,X1] : equidistant(X0,X1,X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_for_equidistance) ).
fof(f2,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,X1,X4,X5)
| equidistant(X2,X3,X4,X5)
| ~ equidistant(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_for_equidistance) ).
fof(f93,plain,
! [X2,X3] : equidistant(extension(X2,X3,v,sF0),X3,lower_dimension_point_1,lower_dimension_point_2),
inference(resolution,[],[f50,f53]) ).
fof(f53,plain,
! [X2,X3,X4,X5] : equidistant(X2,X3,extension(X4,X5,X2,X3),X5),
inference(resolution,[],[f47,f5]) ).
fof(f50,plain,
! [X14,X15] :
( ~ equidistant(v,sF0,X14,X15)
| equidistant(X14,X15,lower_dimension_point_1,lower_dimension_point_2) ),
inference(resolution,[],[f2,f41]) ).
fof(f41,plain,
equidistant(v,sF0,lower_dimension_point_1,lower_dimension_point_2),
inference(superposition,[],[f5,f20]) ).
fof(f20,plain,
extension(u,v,lower_dimension_point_1,lower_dimension_point_2) = sF0,
introduced(function_definition,[]) ).
fof(f12,axiom,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lower_dimension3) ).
fof(f311,plain,
spl2_2,
inference(avatar_split_clause,[],[f309,f28]) ).
fof(f28,plain,
( spl2_2
<=> equidistant(v,sF0,x,sF1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f309,plain,
equidistant(v,sF0,x,sF1),
inference(resolution,[],[f303,f47]) ).
fof(f303,plain,
equidistant(sF1,x,v,sF0),
inference(resolution,[],[f295,f47]) ).
fof(f295,plain,
equidistant(sF0,v,sF1,x),
inference(resolution,[],[f288,f59]) ).
fof(f59,plain,
! [X3,X6,X4,X5] :
( ~ equidistant(X5,X6,X3,X4)
| equidistant(X3,X4,X5,X6) ),
inference(resolution,[],[f52,f2]) ).
fof(f52,plain,
! [X0,X1] : equidistant(X0,X1,X0,X1),
inference(resolution,[],[f47,f1]) ).
fof(f288,plain,
equidistant(sF1,x,sF0,v),
inference(resolution,[],[f62,f56]) ).
fof(f56,plain,
equidistant(lower_dimension_point_1,lower_dimension_point_2,sF1,x),
inference(resolution,[],[f47,f42]) ).
fof(f42,plain,
equidistant(x,sF1,lower_dimension_point_1,lower_dimension_point_2),
inference(superposition,[],[f5,f21]) ).
fof(f21,plain,
extension(w,x,lower_dimension_point_1,lower_dimension_point_2) = sF1,
introduced(function_definition,[]) ).
fof(f62,plain,
! [X0,X1] :
( ~ equidistant(lower_dimension_point_1,lower_dimension_point_2,X0,X1)
| equidistant(X0,X1,sF0,v) ),
inference(resolution,[],[f55,f2]) ).
fof(f55,plain,
equidistant(lower_dimension_point_1,lower_dimension_point_2,sF0,v),
inference(resolution,[],[f47,f41]) ).
fof(f39,plain,
spl2_3,
inference(avatar_split_clause,[],[f37,f32]) ).
fof(f32,plain,
( spl2_3
<=> between(u,v,sF0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
fof(f37,plain,
between(u,v,sF0),
inference(superposition,[],[f4,f20]) ).
fof(f35,plain,
( spl2_1
| ~ spl2_2
| ~ spl2_3 ),
inference(avatar_split_clause,[],[f22,f32,f28,f24]) ).
fof(f22,plain,
( ~ between(u,v,sF0)
| ~ equidistant(v,sF0,x,sF1)
| v = sF0 ),
inference(definition_folding,[],[f19,f20,f20,f21,f20]) ).
fof(f19,axiom,
( ~ 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))
| v = extension(u,v,lower_dimension_point_1,lower_dimension_point_2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_lengthen) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO037-2 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % 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 : n025.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 21:09:59 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.50 % (24640)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)
% 0.20/0.50 % (24632)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)
% 0.20/0.50 % (24624)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)
% 0.20/0.51 TRYING [1]
% 0.20/0.51 TRYING [2]
% 0.20/0.51 % (24629)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)
% 0.20/0.51 % (24628)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52 TRYING [3]
% 0.20/0.52 % (24630)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 % (24619)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)
% 0.20/0.52 % (24619)Refutation not found, incomplete strategy% (24619)------------------------------
% 0.20/0.52 % (24619)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (24619)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (24619)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52
% 0.20/0.52 % (24619)Memory used [KB]: 5500
% 0.20/0.52 % (24619)Time elapsed: 0.126 s
% 0.20/0.52 % (24619)Instructions burned: 2 (million)
% 0.20/0.52 % (24619)------------------------------
% 0.20/0.52 % (24619)------------------------------
% 0.20/0.53 % (24631)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.53 % (24642)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.53 % (24622)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 % (24621)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 % (24641)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)
% 0.20/0.53 % (24620)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)
% 0.20/0.53 % (24618)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)
% 0.20/0.53 % (24627)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)
% 0.20/0.53 % (24634)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)
% 0.20/0.53 TRYING [1]
% 0.20/0.53 TRYING [2]
% 0.20/0.53 % (24623)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)
% 0.20/0.54 TRYING [3]
% 0.20/0.54 % (24646)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.54 % (24629)First to succeed.
% 0.20/0.54 % (24647)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 % (24645)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)
% 0.20/0.54 % (24633)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)
% 0.20/0.54 % (24644)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 % (24643)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 % (24638)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 % (24639)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.54 % (24626)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.54 % (24626)Instruction limit reached!
% 0.20/0.54 % (24626)------------------------------
% 0.20/0.54 % (24626)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (24626)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (24626)Termination reason: Unknown
% 0.20/0.54 % (24626)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (24626)Memory used [KB]: 5373
% 0.20/0.54 % (24626)Time elapsed: 0.141 s
% 0.20/0.54 % (24626)Instructions burned: 3 (million)
% 0.20/0.54 % (24626)------------------------------
% 0.20/0.54 % (24626)------------------------------
% 1.50/0.54 % (24637)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)
% 1.50/0.55 % (24625)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.50/0.55 % (24636)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.50/0.55 % (24635)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.50/0.55 TRYING [1]
% 1.50/0.55 TRYING [2]
% 1.50/0.55 % (24625)Instruction limit reached!
% 1.50/0.55 % (24625)------------------------------
% 1.50/0.55 % (24625)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.55 % (24625)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.55 % (24625)Termination reason: Unknown
% 1.50/0.55 % (24625)Termination phase: Saturation
% 1.50/0.55
% 1.50/0.55 % (24625)Memory used [KB]: 5500
% 1.50/0.55 % (24625)Time elapsed: 0.153 s
% 1.50/0.55 % (24625)Instructions burned: 7 (million)
% 1.50/0.55 % (24625)------------------------------
% 1.50/0.55 % (24625)------------------------------
% 1.50/0.55 % (24621)Also succeeded, but the first one will report.
% 1.50/0.56 % (24629)Refutation found. Thanks to Tanya!
% 1.50/0.56 % SZS status Unsatisfiable for theBenchmark
% 1.50/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 1.50/0.56 % (24629)------------------------------
% 1.50/0.56 % (24629)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.56 % (24629)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.56 % (24629)Termination reason: Refutation
% 1.50/0.56
% 1.50/0.56 % (24629)Memory used [KB]: 5628
% 1.50/0.56 % (24629)Time elapsed: 0.141 s
% 1.50/0.56 % (24629)Instructions burned: 15 (million)
% 1.50/0.56 % (24629)------------------------------
% 1.50/0.56 % (24629)------------------------------
% 1.50/0.56 % (24617)Success in time 0.2 s
%------------------------------------------------------------------------------