TSTP Solution File: GEO042-2 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% 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 : n010.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 12:07:33 EDT 2023
% Result : Unsatisfiable 0.13s 0.38s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of formulae : 55 ( 23 unt; 0 def)
% Number of atoms : 96 ( 12 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 77 ( 36 ~; 36 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-5 aty)
% Number of variables : 67 (; 67 !; 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,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,hypothesis,
between(v,w,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
~ between(u,v,w),
file('/export/starexec/sandbox2/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(f71,plain,
( spl0_0
<=> between(v,w,x) ),
introduced(split_symbol_definition) ).
fof(f73,plain,
( ~ between(v,w,x)
| spl0_0 ),
inference(component_clause,[status(thm)],[f71]) ).
fof(f84,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f73,f45]) ).
fof(f85,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f84]) ).
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(f120,plain,
! [X0,X1] :
( ~ between(X0,X1,x)
| between(v,inner_pasch(X0,X1,x,v,u),X0) ),
inference(resolution,[status(thm)],[f33,f44]) ).
fof(f138,plain,
between(w,inner_pasch(u,v,x,w,v),u),
inference(resolution,[status(thm)],[f119,f44]) ).
fof(f139,plain,
between(w,v,u),
inference(forward_demodulation,[status(thm)],[f116,f138]) ).
fof(f142,plain,
! [X0,X1] :
( ~ between(X0,X1,u)
| between(v,inner_pasch(X0,X1,u,v,w),X0) ),
inference(resolution,[status(thm)],[f139,f33]) ).
fof(f145,plain,
( spl0_6
<=> between(w,v,u) ),
introduced(split_symbol_definition) ).
fof(f148,plain,
( spl0_7
<=> between(v,u,u) ),
introduced(split_symbol_definition) ).
fof(f150,plain,
( ~ between(v,u,u)
| spl0_7 ),
inference(component_clause,[status(thm)],[f148]) ).
fof(f162,plain,
! [X0] :
( ~ between(v,X0,x)
| v = inner_pasch(v,X0,x,v,u) ),
inference(resolution,[status(thm)],[f120,f31]) ).
fof(f351,plain,
v = inner_pasch(v,w,x,v,u),
inference(resolution,[status(thm)],[f162,f45]) ).
fof(f356,plain,
( ~ between(v,w,x)
| ~ between(u,v,x)
| between(w,v,u) ),
inference(paramodulation,[status(thm)],[f351,f32]) ).
fof(f357,plain,
( ~ spl0_0
| ~ spl0_3
| spl0_6 ),
inference(split_clause,[status(thm)],[f356,f71,f86,f145]) ).
fof(f439,plain,
! [X0] : between(v,inner_pasch(X0,u,u,v,w),X0),
inference(resolution,[status(thm)],[f142,f50]) ).
fof(f455,plain,
v = inner_pasch(v,u,u,v,w),
inference(resolution,[status(thm)],[f439,f31]) ).
fof(f457,plain,
( spl0_18
<=> between(u,v,w) ),
introduced(split_symbol_definition) ).
fof(f458,plain,
( between(u,v,w)
| ~ spl0_18 ),
inference(component_clause,[status(thm)],[f457]) ).
fof(f460,plain,
( ~ between(v,u,u)
| ~ between(w,v,u)
| between(u,v,w) ),
inference(paramodulation,[status(thm)],[f455,f32]) ).
fof(f461,plain,
( ~ spl0_7
| ~ spl0_6
| spl0_18 ),
inference(split_clause,[status(thm)],[f460,f148,f145,f457]) ).
fof(f462,plain,
( $false
| spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f150,f50]) ).
fof(f463,plain,
spl0_7,
inference(contradiction_clause,[status(thm)],[f462]) ).
fof(f464,plain,
( $false
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[status(thm)],[f458,f46]) ).
fof(f465,plain,
~ spl0_18,
inference(contradiction_clause,[status(thm)],[f464]) ).
fof(f466,plain,
$false,
inference(sat_refutation,[status(thm)],[f85,f100,f357,f461,f463,f465]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO042-2 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 11:47:52 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.41 % Elapsed time: 0.066307 seconds
% 0.19/0.41 % CPU time: 0.067967 seconds
% 0.19/0.41 % Memory used: 8.989 MB
%------------------------------------------------------------------------------