TSTP Solution File: GEO037-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO037-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -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 : Tue Apr 30 11:13:19 EDT 2024
% Result : Unsatisfiable 0.12s 0.37s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 43 ( 16 unt; 0 def)
% Number of atoms : 72 ( 7 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 56 ( 27 ~; 27 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-4 aty)
% Number of variables : 80 ( 80 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f734,plain,
$false,
inference(avatar_sat_refutation,[],[f646,f651,f653,f655,f733]) ).
fof(f733,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f732]) ).
fof(f732,plain,
( $false
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f728,f23]) ).
fof(f23,plain,
! [X0,X1] : between(X0,X1,X1),
inference(superposition,[],[f4,f21]) ).
fof(f21,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(f728,plain,
( ~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1)
| ~ spl0_2 ),
inference(superposition,[],[f12,f720]) ).
fof(f720,plain,
( lower_dimension_point_1 = lower_dimension_point_2
| ~ spl0_2 ),
inference(resolution,[],[f712,f3]) ).
fof(f712,plain,
( equidistant(lower_dimension_point_1,lower_dimension_point_2,v,v)
| ~ spl0_2 ),
inference(resolution,[],[f657,f26]) ).
fof(f26,plain,
! [X2,X3,X0,X1] :
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X2,X3,X1,X0) ),
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(X0,X1,X2,X3)
| equidistant(X2,X3,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_for_equidistance) ).
fof(f657,plain,
( equidistant(v,v,lower_dimension_point_1,lower_dimension_point_2)
| ~ spl0_2 ),
inference(superposition,[],[f5,f645]) ).
fof(f645,plain,
( v = extension(u,v,lower_dimension_point_1,lower_dimension_point_2)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f643]) ).
fof(f643,plain,
( spl0_2
<=> v = extension(u,v,lower_dimension_point_1,lower_dimension_point_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
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(f655,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f654]) ).
fof(f654,plain,
( $false
| spl0_1 ),
inference(subsumption_resolution,[],[f649,f40]) ).
fof(f40,plain,
! [X2,X3,X0,X1] : equidistant(X0,X1,X2,extension(X3,X2,X1,X0)),
inference(resolution,[],[f36,f26]) ).
fof(f36,plain,
! [X2,X3,X0,X1] : equidistant(extension(X0,X1,X2,X3),X1,X3,X2),
inference(resolution,[],[f30,f26]) ).
fof(f30,plain,
! [X2,X3,X0,X1] : equidistant(X0,X1,extension(X2,X3,X0,X1),X3),
inference(resolution,[],[f26,f5]) ).
fof(f649,plain,
( ~ equidistant(lower_dimension_point_2,lower_dimension_point_1,v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2))
| spl0_1 ),
inference(resolution,[],[f641,f44]) ).
fof(f44,plain,
! [X2,X3,X0,X1,X4,X5] :
( equidistant(X2,X3,X4,extension(X5,X4,X1,X0))
| ~ equidistant(X0,X1,X2,X3) ),
inference(resolution,[],[f40,f2]) ).
fof(f641,plain,
( ~ 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))
| spl0_1 ),
inference(avatar_component_clause,[],[f639]) ).
fof(f639,plain,
( spl0_1
<=> 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)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f653,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f652]) ).
fof(f652,plain,
( $false
| spl0_1 ),
inference(subsumption_resolution,[],[f648,f57]) ).
fof(f57,plain,
! [X2,X3,X0,X1] : equidistant(X0,X1,X2,extension(X3,X2,X0,X1)),
inference(resolution,[],[f35,f5]) ).
fof(f35,plain,
! [X2,X3,X0,X1] :
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X2,X3,X0,X1) ),
inference(resolution,[],[f29,f2]) ).
fof(f29,plain,
! [X0,X1] : equidistant(X0,X1,X0,X1),
inference(resolution,[],[f26,f1]) ).
fof(f648,plain,
( ~ equidistant(lower_dimension_point_1,lower_dimension_point_2,v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2))
| spl0_1 ),
inference(resolution,[],[f641,f67]) ).
fof(f67,plain,
! [X2,X3,X0,X1,X4,X5] :
( equidistant(X2,X3,X4,extension(X5,X4,X0,X1))
| ~ equidistant(X0,X1,X2,X3) ),
inference(resolution,[],[f57,f2]) ).
fof(f651,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f650]) ).
fof(f650,plain,
( $false
| spl0_1 ),
inference(subsumption_resolution,[],[f647,f30]) ).
fof(f647,plain,
( ~ equidistant(lower_dimension_point_1,lower_dimension_point_2,extension(u,v,lower_dimension_point_1,lower_dimension_point_2),v)
| spl0_1 ),
inference(resolution,[],[f641,f334]) ).
fof(f334,plain,
! [X2,X3,X0,X1,X4,X5] :
( equidistant(X3,X2,X4,extension(X5,X4,X0,X1))
| ~ equidistant(X0,X1,X2,X3) ),
inference(resolution,[],[f225,f26]) ).
fof(f225,plain,
! [X2,X3,X0,X1,X4,X5] :
( equidistant(extension(X4,X5,X0,X1),X5,X3,X2)
| ~ equidistant(X0,X1,X2,X3) ),
inference(resolution,[],[f37,f26]) ).
fof(f37,plain,
! [X2,X3,X0,X1,X4,X5] :
( equidistant(X2,X3,extension(X4,X5,X0,X1),X5)
| ~ equidistant(X0,X1,X2,X3) ),
inference(resolution,[],[f30,f2]) ).
fof(f646,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f403,f643,f639]) ).
fof(f403,plain,
( 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)) ),
inference(subsumption_resolution,[],[f19,f4]) ).
fof(f19,axiom,
( v = extension(u,v,lower_dimension_point_1,lower_dimension_point_2)
| ~ between(u,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)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_lengthen) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GEO037-2 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.33 % Computer : n022.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
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Apr 30 05:37:13 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % (17934)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.35 % (17937)WARNING: value z3 for option sas not known
% 0.12/0.35 % (17938)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.35 % (17937)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.12/0.35 % (17935)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.12/0.35 % (17941)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.12/0.35 % (17939)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.12/0.35 % (17936)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.35 % (17940)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.12/0.35 TRYING [1]
% 0.12/0.35 TRYING [2]
% 0.12/0.36 TRYING [3]
% 0.12/0.36 TRYING [1]
% 0.12/0.36 TRYING [2]
% 0.12/0.37 % (17937)First to succeed.
% 0.12/0.37 % (17937)Refutation found. Thanks to Tanya!
% 0.12/0.37 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.37 % (17937)------------------------------
% 0.12/0.37 % (17937)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.12/0.37 % (17937)Termination reason: Refutation
% 0.12/0.37
% 0.12/0.37 % (17937)Memory used [KB]: 963
% 0.12/0.37 % (17937)Time elapsed: 0.019 s
% 0.12/0.37 % (17937)Instructions burned: 37 (million)
% 0.12/0.37 % (17937)------------------------------
% 0.12/0.37 % (17937)------------------------------
% 0.12/0.37 % (17934)Success in time 0.034 s
%------------------------------------------------------------------------------