TSTP Solution File: GEO042-2 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO042-2 : TPTP v8.1.2. Released v1.0.0.
% 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 20:16:54 EDT 2024
% Result : Unsatisfiable 0.14s 0.37s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 41 ( 16 unt; 0 def)
% Number of atoms : 71 ( 11 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 60 ( 30 ~; 28 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-5 aty)
% Number of variables : 69 ( 69 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X,Y,Z] :
( ~ equidistant(X,Y,Z,Z)
| X = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y,W,V] : between(X,Y,extension(X,Y,W,V)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [Y,X,W,V] : equidistant(Y,extension(X,Y,W,V),W,V),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,Y] :
( ~ between(X,Y,X)
| X = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [U,V,W,Y,X] :
( ~ between(U,V,W)
| ~ between(Y,X,W)
| between(V,inner_pasch(U,V,W,X,Y),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [U,V,W,Y,X] :
( ~ between(U,V,W)
| ~ between(Y,X,W)
| between(X,inner_pasch(U,V,W,X,Y),U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,hypothesis,
between(u,v,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,hypothesis,
between(v,w,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
~ between(u,v,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,plain,
! [X,Y] :
( ! [Z] : ~ equidistant(X,Y,Z,Z)
| X = Y ),
inference(miniscoping,[status(esa)],[f3]) ).
fof(f26,plain,
! [X0,X1,X2] :
( ~ equidistant(X0,X1,X2,X2)
| X0 = X1 ),
inference(cnf_transformation,[status(esa)],[f25]) ).
fof(f27,plain,
! [X0,X1,X2,X3] : between(X0,X1,extension(X0,X1,X2,X3)),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f28,plain,
! [X0,X1,X2,X3] : equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f31,plain,
! [X0,X1] :
( ~ between(X0,X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f32,plain,
! [X0,X1,X2,X3,X4] :
( ~ between(X0,X1,X2)
| ~ between(X3,X4,X2)
| between(X1,inner_pasch(X0,X1,X2,X4,X3),X3) ),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f33,plain,
! [X0,X1,X2,X3,X4] :
( ~ between(X0,X1,X2)
| ~ between(X3,X4,X2)
| between(X4,inner_pasch(X0,X1,X2,X4,X3),X0) ),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f44,plain,
between(u,v,x),
inference(cnf_transformation,[status(esa)],[f19]) ).
fof(f45,plain,
between(v,w,x),
inference(cnf_transformation,[status(esa)],[f20]) ).
fof(f46,plain,
~ between(u,v,w),
inference(cnf_transformation,[status(esa)],[f21]) ).
fof(f48,plain,
! [X0,X1,X2] : X0 = extension(X1,X0,X2,X2),
inference(resolution,[status(thm)],[f28,f26]) ).
fof(f50,plain,
! [X0,X1] : between(X0,X1,X1),
inference(paramodulation,[status(thm)],[f48,f27]) ).
fof(f58,plain,
! [X0,X1,X2,X3] :
( ~ between(X0,X1,X2)
| ~ between(X1,X3,X2)
| X1 = inner_pasch(X0,X1,X2,X3,X1) ),
inference(resolution,[status(thm)],[f32,f31]) ).
fof(f61,plain,
! [X0] :
( ~ between(X0,v,x)
| v = inner_pasch(X0,v,x,w,v) ),
inference(resolution,[status(thm)],[f58,f45]) ).
fof(f65,plain,
! [X0,X1,X2] :
( ~ between(X0,X1,X2)
| X1 = inner_pasch(X0,X1,X2,X2,X1) ),
inference(resolution,[status(thm)],[f58,f50]) ).
fof(f86,plain,
( spl0_3
<=> between(u,v,x) ),
introduced(split_symbol_definition) ).
fof(f88,plain,
( ~ between(u,v,x)
| spl0_3 ),
inference(component_clause,[status(thm)],[f86]) ).
fof(f99,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f88,f44]) ).
fof(f100,plain,
spl0_3,
inference(contradiction_clause,[status(thm)],[f99]) ).
fof(f116,plain,
v = inner_pasch(u,v,x,w,v),
inference(resolution,[status(thm)],[f61,f44]) ).
fof(f119,plain,
! [X0,X1] :
( ~ between(X0,X1,x)
| between(w,inner_pasch(X0,X1,x,w,v),X0) ),
inference(resolution,[status(thm)],[f33,f45]) ).
fof(f123,plain,
! [X0,X1,X2,X3] :
( ~ between(X0,X1,X2)
| between(X2,inner_pasch(X0,X1,X2,X2,X3),X0) ),
inference(resolution,[status(thm)],[f33,f50]) ).
fof(f188,plain,
( spl0_6
<=> between(w,v,u) ),
introduced(split_symbol_definition) ).
fof(f189,plain,
( between(w,v,u)
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f188]) ).
fof(f191,plain,
( ~ between(u,v,x)
| between(w,v,u) ),
inference(paramodulation,[status(thm)],[f116,f119]) ).
fof(f192,plain,
( ~ spl0_3
| spl0_6 ),
inference(split_clause,[status(thm)],[f191,f86,f188]) ).
fof(f194,plain,
! [X0] :
( between(u,inner_pasch(w,v,u,u,X0),w)
| ~ spl0_6 ),
inference(resolution,[status(thm)],[f189,f123]) ).
fof(f196,plain,
( v = inner_pasch(w,v,u,u,v)
| ~ spl0_6 ),
inference(resolution,[status(thm)],[f189,f65]) ).
fof(f213,plain,
( between(u,v,w)
| ~ spl0_6 ),
inference(paramodulation,[status(thm)],[f196,f194]) ).
fof(f214,plain,
( $false
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f213,f46]) ).
fof(f215,plain,
~ spl0_6,
inference(contradiction_clause,[status(thm)],[f214]) ).
fof(f216,plain,
$false,
inference(sat_refutation,[status(thm)],[f100,f192,f215]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO042-2 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n005.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 : Tue Apr 30 01:25:11 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % Drodi V3.6.0
% 0.14/0.37 % Refutation found
% 0.14/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.38 % Elapsed time: 0.031572 seconds
% 0.21/0.38 % CPU time: 0.123900 seconds
% 0.21/0.38 % Total memory used: 18.843 MB
% 0.21/0.38 % Net memory used: 18.768 MB
%------------------------------------------------------------------------------