TSTP Solution File: GEO048-2 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO048-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n011.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 May 31 12:07:34 EDT 2023
% Result : Unsatisfiable 0.15s 0.32s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 18
% Syntax : Number of formulae : 61 ( 22 unt; 0 def)
% Number of atoms : 111 ( 11 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 91 ( 41 ~; 42 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 9 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-5 aty)
% Number of variables : 60 (; 60 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X,Y,Z] :
( ~ equidistant(X,Y,Z,Z)
| X = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y,W,V] : between(X,Y,extension(X,Y,W,V)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [Y,X,W,V] : equidistant(Y,extension(X,Y,W,V),W,V),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,Y] :
( ~ between(X,Y,X)
| X = Y ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,hypothesis,
between(u,v,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,hypothesis,
between(u1,v1,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,hypothesis,
between(u,x,u1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
~ between(v,inner_pasch(v1,inner_pasch(u,x,u1,v1,w),u,v,w),v1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,plain,
! [X,Y] :
( ! [Z] : ~ equidistant(X,Y,Z,Z)
| X = Y ),
inference(miniscoping,[status(esa)],[f3]) ).
fof(f28,plain,
! [X0,X1,X2] :
( ~ equidistant(X0,X1,X2,X2)
| X0 = X1 ),
inference(cnf_transformation,[status(esa)],[f27]) ).
fof(f29,plain,
! [X0,X1,X2,X3] : between(X0,X1,extension(X0,X1,X2,X3)),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f30,plain,
! [X0,X1,X2,X3] : equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f33,plain,
! [X0,X1] :
( ~ between(X0,X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f34,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(f35,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(f46,plain,
between(u,v,w),
inference(cnf_transformation,[status(esa)],[f19]) ).
fof(f47,plain,
between(u1,v1,w),
inference(cnf_transformation,[status(esa)],[f20]) ).
fof(f48,plain,
between(u,x,u1),
inference(cnf_transformation,[status(esa)],[f21]) ).
fof(f50,plain,
~ between(v,inner_pasch(v1,inner_pasch(u,x,u1,v1,w),u,v,w),v1),
inference(cnf_transformation,[status(esa)],[f23]) ).
fof(f56,plain,
( spl0_0
<=> between(v1,inner_pasch(u,x,u1,v1,w),u) ),
introduced(split_symbol_definition) ).
fof(f58,plain,
( ~ between(v1,inner_pasch(u,x,u1,v1,w),u)
| spl0_0 ),
inference(component_clause,[status(thm)],[f56]) ).
fof(f59,plain,
( spl0_1
<=> between(w,v,u) ),
introduced(split_symbol_definition) ).
fof(f62,plain,
( ~ between(v1,inner_pasch(u,x,u1,v1,w),u)
| ~ between(w,v,u) ),
inference(resolution,[status(thm)],[f35,f50]) ).
fof(f63,plain,
( ~ spl0_0
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f62,f56,f59]) ).
fof(f65,plain,
! [X0,X1,X2,X3] :
( ~ between(X0,X1,X2)
| ~ between(X3,X0,X2)
| X0 = inner_pasch(X0,X1,X2,X0,X3) ),
inference(resolution,[status(thm)],[f35,f33]) ).
fof(f66,plain,
! [X0] :
( ~ between(v1,X0,w)
| v1 = inner_pasch(v1,X0,w,v1,u1) ),
inference(resolution,[status(thm)],[f65,f47]) ).
fof(f68,plain,
! [X0] :
( ~ between(v,X0,w)
| v = inner_pasch(v,X0,w,v,u) ),
inference(resolution,[status(thm)],[f65,f46]) ).
fof(f119,plain,
! [X0,X1,X2] : X0 = extension(X1,X0,X2,X2),
inference(resolution,[status(thm)],[f30,f28]) ).
fof(f121,plain,
! [X0,X1] : between(X0,X1,X1),
inference(paramodulation,[status(thm)],[f119,f29]) ).
fof(f122,plain,
v1 = inner_pasch(v1,w,w,v1,u1),
inference(resolution,[status(thm)],[f121,f66]) ).
fof(f123,plain,
v = inner_pasch(v,w,w,v,u),
inference(resolution,[status(thm)],[f121,f68]) ).
fof(f182,plain,
( spl0_2
<=> between(u,x,u1) ),
introduced(split_symbol_definition) ).
fof(f184,plain,
( ~ between(u,x,u1)
| spl0_2 ),
inference(component_clause,[status(thm)],[f182]) ).
fof(f185,plain,
( spl0_3
<=> between(w,v1,u1) ),
introduced(split_symbol_definition) ).
fof(f188,plain,
( ~ between(u,x,u1)
| ~ between(w,v1,u1)
| spl0_0 ),
inference(resolution,[status(thm)],[f58,f35]) ).
fof(f189,plain,
( ~ spl0_2
| ~ spl0_3
| spl0_0 ),
inference(split_clause,[status(thm)],[f188,f182,f185,f56]) ).
fof(f255,plain,
( spl0_5
<=> between(v1,w,w) ),
introduced(split_symbol_definition) ).
fof(f257,plain,
( ~ between(v1,w,w)
| spl0_5 ),
inference(component_clause,[status(thm)],[f255]) ).
fof(f258,plain,
( spl0_6
<=> between(u1,v1,w) ),
introduced(split_symbol_definition) ).
fof(f260,plain,
( ~ between(u1,v1,w)
| spl0_6 ),
inference(component_clause,[status(thm)],[f258]) ).
fof(f268,plain,
( ~ between(v1,w,w)
| ~ between(u1,v1,w)
| between(w,v1,u1) ),
inference(paramodulation,[status(thm)],[f122,f34]) ).
fof(f269,plain,
( ~ spl0_5
| ~ spl0_6
| spl0_3 ),
inference(split_clause,[status(thm)],[f268,f255,f258,f185]) ).
fof(f270,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f184,f48]) ).
fof(f271,plain,
spl0_2,
inference(contradiction_clause,[status(thm)],[f270]) ).
fof(f272,plain,
( $false
| spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f257,f121]) ).
fof(f273,plain,
spl0_5,
inference(contradiction_clause,[status(thm)],[f272]) ).
fof(f274,plain,
( $false
| spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f260,f47]) ).
fof(f275,plain,
spl0_6,
inference(contradiction_clause,[status(thm)],[f274]) ).
fof(f536,plain,
( spl0_31
<=> between(v,w,w) ),
introduced(split_symbol_definition) ).
fof(f538,plain,
( ~ between(v,w,w)
| spl0_31 ),
inference(component_clause,[status(thm)],[f536]) ).
fof(f539,plain,
( spl0_32
<=> between(u,v,w) ),
introduced(split_symbol_definition) ).
fof(f541,plain,
( ~ between(u,v,w)
| spl0_32 ),
inference(component_clause,[status(thm)],[f539]) ).
fof(f549,plain,
( ~ between(v,w,w)
| ~ between(u,v,w)
| between(w,v,u) ),
inference(paramodulation,[status(thm)],[f123,f34]) ).
fof(f550,plain,
( ~ spl0_31
| ~ spl0_32
| spl0_1 ),
inference(split_clause,[status(thm)],[f549,f536,f539,f59]) ).
fof(f551,plain,
( $false
| spl0_31 ),
inference(forward_subsumption_resolution,[status(thm)],[f538,f121]) ).
fof(f552,plain,
spl0_31,
inference(contradiction_clause,[status(thm)],[f551]) ).
fof(f553,plain,
( $false
| spl0_32 ),
inference(forward_subsumption_resolution,[status(thm)],[f541,f46]) ).
fof(f554,plain,
spl0_32,
inference(contradiction_clause,[status(thm)],[f553]) ).
fof(f555,plain,
$false,
inference(sat_refutation,[status(thm)],[f63,f189,f269,f271,f273,f275,f550,f552,f554]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : GEO048-2 : TPTP v8.1.2. Released v1.0.0.
% 0.02/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.30 % Computer : n011.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue May 30 12:04:12 EDT 2023
% 0.10/0.30 % CPUTime :
% 0.10/0.31 % Drodi V3.5.1
% 0.15/0.32 % Refutation found
% 0.15/0.32 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.32 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.54 % Elapsed time: 0.020252 seconds
% 0.15/0.54 % CPU time: 0.030507 seconds
% 0.15/0.54 % Memory used: 3.245 MB
%------------------------------------------------------------------------------