TSTP Solution File: GEO062-3 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO062-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n005.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 20:16:59 EDT 2024
% Result : Unsatisfiable 197.87s 25.22s
% Output : CNFRefutation 198.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 17
% Syntax : Number of formulae : 58 ( 20 unt; 0 def)
% Number of atoms : 114 ( 27 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 108 ( 52 ~; 51 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-4 aty)
% Number of variables : 94 ( 94 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X,Y,W,V] : between(X,Y,extension(X,Y,W,V)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [U1,W1,U,V] : insertion(U1,W1,U,V) = extension(extension(W1,U1,lower_dimension_point_1,lower_dimension_point_2),U1,U,V),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [U,V] : equidistant(U,V,U,V),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,axiom,
! [U,V,W,X] :
( ~ equidistant(U,V,W,X)
| equidistant(V,U,X,W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,axiom,
! [V,U,W] : V = extension(U,V,W,W),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f40,axiom,
! [U,V,W] :
( ~ between(U,V,W)
| U = V
| W = extension(U,V,V,W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f47,axiom,
! [U,V,W] :
( ~ between(U,V,W)
| between(W,V,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f70,axiom,
! [U,V,W,X] :
( ~ between(U,V,W)
| ~ equidistant(U,V,U,X)
| ~ equidistant(W,V,W,X)
| V = X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f71,axiom,
! [U,V,U1,W1] : equidistant(U,V,U1,insertion(U1,W1,U,V)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f73,axiom,
! [U,V,W,U1,W1] :
( ~ between(U,V,W)
| ~ equidistant(U,W,U1,W1)
| equidistant(V,W,insertion(U1,W1,U,V),W1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f74,hypothesis,
between(u,v,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f75,negated_conjecture,
v != insertion(u,w,u,v),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f81,plain,
! [X0,X1,X2,X3] : between(X0,X1,extension(X0,X1,X2,X3)),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f99,plain,
! [X0,X1,X2,X3] : insertion(X0,X1,X2,X3) = extension(extension(X1,X0,lower_dimension_point_1,lower_dimension_point_2),X0,X2,X3),
inference(cnf_transformation,[status(esa)],[f20]) ).
fof(f100,plain,
! [X0,X1] : equidistant(X0,X1,X0,X1),
inference(cnf_transformation,[status(esa)],[f21]) ).
fof(f104,plain,
! [X0,X1,X2,X3] :
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X1,X0,X3,X2) ),
inference(cnf_transformation,[status(esa)],[f25]) ).
fof(f110,plain,
! [X0,X1,X2] : X0 = extension(X1,X0,X2,X2),
inference(cnf_transformation,[status(esa)],[f30]) ).
fof(f123,plain,
! [X0,X1,X2] :
( ~ between(X0,X1,X2)
| X0 = X1
| X2 = extension(X0,X1,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f40]) ).
fof(f132,plain,
! [X0,X1,X2] :
( ~ between(X0,X1,X2)
| between(X2,X1,X0) ),
inference(cnf_transformation,[status(esa)],[f47]) ).
fof(f169,plain,
! [V,X] :
( ! [W] :
( ! [U] :
( ~ between(U,V,W)
| ~ equidistant(U,V,U,X) )
| ~ equidistant(W,V,W,X) )
| V = X ),
inference(miniscoping,[status(esa)],[f70]) ).
fof(f170,plain,
! [X0,X1,X2,X3] :
( ~ between(X0,X1,X2)
| ~ equidistant(X0,X1,X0,X3)
| ~ equidistant(X2,X1,X2,X3)
| X1 = X3 ),
inference(cnf_transformation,[status(esa)],[f169]) ).
fof(f171,plain,
! [X0,X1,X2,X3] : equidistant(X0,X1,X2,insertion(X2,X3,X0,X1)),
inference(cnf_transformation,[status(esa)],[f71]) ).
fof(f174,plain,
! [X0,X1,X2,X3,X4] :
( ~ between(X0,X1,X2)
| ~ equidistant(X0,X2,X3,X4)
| equidistant(X1,X2,insertion(X3,X4,X0,X1),X4) ),
inference(cnf_transformation,[status(esa)],[f73]) ).
fof(f175,plain,
between(u,v,w),
inference(cnf_transformation,[status(esa)],[f74]) ).
fof(f176,plain,
v != insertion(u,w,u,v),
inference(cnf_transformation,[status(esa)],[f75]) ).
fof(f205,plain,
! [X0,X1,X2] : X0 = insertion(X0,X1,X2,X2),
inference(paramodulation,[status(thm)],[f99,f110]) ).
fof(f263,plain,
( spl0_3
<=> u = v ),
introduced(split_symbol_definition) ).
fof(f264,plain,
( u = v
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f263]) ).
fof(f297,plain,
( v != insertion(u,w,u,u)
| ~ spl0_3 ),
inference(backward_demodulation,[status(thm)],[f264,f176]) ).
fof(f298,plain,
( u != insertion(u,w,u,u)
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f264,f297]) ).
fof(f299,plain,
( u != u
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f205,f298]) ).
fof(f300,plain,
( $false
| ~ spl0_3 ),
inference(trivial_equality_resolution,[status(esa)],[f299]) ).
fof(f301,plain,
~ spl0_3,
inference(contradiction_clause,[status(thm)],[f300]) ).
fof(f312,plain,
( spl0_6
<=> equidistant(u,w,u,w) ),
introduced(split_symbol_definition) ).
fof(f314,plain,
( ~ equidistant(u,w,u,w)
| spl0_6 ),
inference(component_clause,[status(thm)],[f312]) ).
fof(f318,plain,
( $false
| spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f314,f100]) ).
fof(f319,plain,
spl0_6,
inference(contradiction_clause,[status(thm)],[f318]) ).
fof(f681,plain,
! [X0,X1,X2,X3] : between(extension(X0,X1,X2,X3),X1,X0),
inference(resolution,[status(thm)],[f132,f81]) ).
fof(f2140,plain,
! [X0,X1,X2,X3,X4] :
( equidistant(X0,X1,X2,insertion(X3,X2,X4,X1))
| ~ between(X4,X1,X0)
| ~ equidistant(X4,X0,X3,X2) ),
inference(resolution,[status(thm)],[f104,f174]) ).
fof(f2781,plain,
( spl0_88
<=> w = extension(u,v,v,w) ),
introduced(split_symbol_definition) ).
fof(f2782,plain,
( w = extension(u,v,v,w)
| ~ spl0_88 ),
inference(component_clause,[status(thm)],[f2781]) ).
fof(f2784,plain,
( u = v
| w = extension(u,v,v,w) ),
inference(resolution,[status(thm)],[f123,f175]) ).
fof(f2785,plain,
( spl0_3
| spl0_88 ),
inference(split_clause,[status(thm)],[f2784,f263,f2781]) ).
fof(f3194,plain,
( between(w,v,u)
| ~ spl0_88 ),
inference(paramodulation,[status(thm)],[f2782,f681]) ).
fof(f3198,plain,
( between(u,v,w)
| ~ spl0_88 ),
inference(paramodulation,[status(thm)],[f2782,f81]) ).
fof(f3777,plain,
! [X0,X1] :
( equidistant(w,v,X0,insertion(X1,X0,u,v))
| ~ equidistant(u,w,X1,X0)
| ~ spl0_88 ),
inference(resolution,[status(thm)],[f2140,f3198]) ).
fof(f5508,plain,
( spl0_201
<=> between(w,v,u) ),
introduced(split_symbol_definition) ).
fof(f5510,plain,
( ~ between(w,v,u)
| spl0_201 ),
inference(component_clause,[status(thm)],[f5508]) ).
fof(f5541,plain,
( $false
| ~ spl0_88
| spl0_201 ),
inference(forward_subsumption_resolution,[status(thm)],[f5510,f3194]) ).
fof(f5542,plain,
( ~ spl0_88
| spl0_201 ),
inference(contradiction_clause,[status(thm)],[f5541]) ).
fof(f7127,plain,
! [X0,X1,X2,X3] :
( ~ between(X0,X1,X2)
| ~ equidistant(X0,X1,X0,insertion(X2,X3,X2,X1))
| X1 = insertion(X2,X3,X2,X1) ),
inference(resolution,[status(thm)],[f170,f171]) ).
fof(f40791,plain,
( spl0_1125
<=> v = insertion(u,w,u,v) ),
introduced(split_symbol_definition) ).
fof(f40792,plain,
( v = insertion(u,w,u,v)
| ~ spl0_1125 ),
inference(component_clause,[status(thm)],[f40791]) ).
fof(f40794,plain,
( ~ equidistant(u,w,u,w)
| ~ between(w,v,u)
| v = insertion(u,w,u,v)
| ~ spl0_88 ),
inference(resolution,[status(thm)],[f3777,f7127]) ).
fof(f40795,plain,
( ~ spl0_6
| ~ spl0_201
| spl0_1125
| ~ spl0_88 ),
inference(split_clause,[status(thm)],[f40794,f312,f5508,f40791,f2781]) ).
fof(f40875,plain,
( $false
| ~ spl0_1125 ),
inference(forward_subsumption_resolution,[status(thm)],[f40792,f176]) ).
fof(f40876,plain,
~ spl0_1125,
inference(contradiction_clause,[status(thm)],[f40875]) ).
fof(f40877,plain,
$false,
inference(sat_refutation,[status(thm)],[f301,f319,f2785,f5542,f40795,f40876]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : GEO062-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.00/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.25 % Computer : n005.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 300
% 0.06/0.25 % DateTime : Tue Apr 30 01:27:56 EDT 2024
% 0.06/0.25 % CPUTime :
% 0.06/0.26 % Drodi V3.6.0
% 197.87/25.22 % Refutation found
% 197.87/25.22 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 197.87/25.22 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 200.29/26.45 % Elapsed time: 25.974974 seconds
% 200.29/26.45 % CPU time: 194.047686 seconds
% 200.29/26.45 % Total memory used: 616.196 MB
% 200.29/26.45 % Net memory used: 580.990 MB
%------------------------------------------------------------------------------