TSTP Solution File: GEO043-3 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO043-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n015.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 20:16:55 EDT 2024
% Result : Unsatisfiable 4.40s 0.84s
% Output : CNFRefutation 4.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 14
% Syntax : Number of formulae : 52 ( 16 unt; 0 def)
% Number of atoms : 104 ( 9 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 96 ( 44 ~; 45 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 8 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-5 aty)
% Number of variables : 40 ( 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(f44,axiom,
! [U,V] : between(U,V,V),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f53,hypothesis,
between(u,v,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f54,hypothesis,
between(u,w,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f55,negated_conjecture,
~ between(v,w,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f65,plain,
! [X0,X1] :
( ~ between(X0,X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f66,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(f67,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(f108,plain,
! [X0,X1] : between(X0,X1,X1),
inference(cnf_transformation,[status(esa)],[f44]) ).
fof(f123,plain,
between(u,v,w),
inference(cnf_transformation,[status(esa)],[f53]) ).
fof(f124,plain,
between(u,w,x),
inference(cnf_transformation,[status(esa)],[f54]) ).
fof(f125,plain,
~ between(v,w,x),
inference(cnf_transformation,[status(esa)],[f55]) ).
fof(f248,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)],[f66,f65]) ).
fof(f254,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)],[f67,f65]) ).
fof(f271,plain,
! [X0,X1,X2] :
( ~ between(X0,X1,X2)
| X1 = inner_pasch(X0,X1,X2,X2,X1) ),
inference(resolution,[status(thm)],[f248,f108]) ).
fof(f311,plain,
w = inner_pasch(u,w,x,x,w),
inference(resolution,[status(thm)],[f271,f124]) ).
fof(f312,plain,
v = inner_pasch(u,v,w,w,v),
inference(resolution,[status(thm)],[f271,f123]) ).
fof(f343,plain,
( spl0_10
<=> between(u,w,x) ),
introduced(split_symbol_definition) ).
fof(f345,plain,
( ~ between(u,w,x)
| spl0_10 ),
inference(component_clause,[status(thm)],[f343]) ).
fof(f361,plain,
( $false
| spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f345,f124]) ).
fof(f362,plain,
spl0_10,
inference(contradiction_clause,[status(thm)],[f361]) ).
fof(f363,plain,
( spl0_14
<=> between(u,v,w) ),
introduced(split_symbol_definition) ).
fof(f365,plain,
( ~ between(u,v,w)
| spl0_14 ),
inference(component_clause,[status(thm)],[f363]) ).
fof(f381,plain,
( $false
| spl0_14 ),
inference(forward_subsumption_resolution,[status(thm)],[f365,f123]) ).
fof(f382,plain,
spl0_14,
inference(contradiction_clause,[status(thm)],[f381]) ).
fof(f383,plain,
( spl0_18
<=> between(w,x,x) ),
introduced(split_symbol_definition) ).
fof(f385,plain,
( ~ between(w,x,x)
| spl0_18 ),
inference(component_clause,[status(thm)],[f383]) ).
fof(f386,plain,
( spl0_19
<=> between(x,w,u) ),
introduced(split_symbol_definition) ).
fof(f387,plain,
( between(x,w,u)
| ~ spl0_19 ),
inference(component_clause,[status(thm)],[f386]) ).
fof(f389,plain,
( ~ between(u,w,x)
| ~ between(w,x,x)
| between(x,w,u) ),
inference(paramodulation,[status(thm)],[f311,f67]) ).
fof(f390,plain,
( ~ spl0_10
| ~ spl0_18
| spl0_19 ),
inference(split_clause,[status(thm)],[f389,f343,f383,f386]) ).
fof(f393,plain,
( $false
| spl0_18 ),
inference(forward_subsumption_resolution,[status(thm)],[f385,f108]) ).
fof(f394,plain,
spl0_18,
inference(contradiction_clause,[status(thm)],[f393]) ).
fof(f516,plain,
( spl0_30
<=> between(v,w,w) ),
introduced(split_symbol_definition) ).
fof(f518,plain,
( ~ between(v,w,w)
| spl0_30 ),
inference(component_clause,[status(thm)],[f516]) ).
fof(f519,plain,
( spl0_31
<=> between(w,v,u) ),
introduced(split_symbol_definition) ).
fof(f520,plain,
( between(w,v,u)
| ~ spl0_31 ),
inference(component_clause,[status(thm)],[f519]) ).
fof(f522,plain,
( ~ between(u,v,w)
| ~ between(v,w,w)
| between(w,v,u) ),
inference(paramodulation,[status(thm)],[f312,f67]) ).
fof(f523,plain,
( ~ spl0_14
| ~ spl0_30
| spl0_31 ),
inference(split_clause,[status(thm)],[f522,f363,f516,f519]) ).
fof(f526,plain,
( $false
| spl0_30 ),
inference(forward_subsumption_resolution,[status(thm)],[f518,f108]) ).
fof(f527,plain,
spl0_30,
inference(contradiction_clause,[status(thm)],[f526]) ).
fof(f969,plain,
! [X0] :
( ~ between(w,X0,u)
| w = inner_pasch(w,X0,u,w,x)
| ~ spl0_19 ),
inference(resolution,[status(thm)],[f387,f254]) ).
fof(f1100,plain,
( w = inner_pasch(w,v,u,w,x)
| ~ spl0_19
| ~ spl0_31 ),
inference(resolution,[status(thm)],[f969,f520]) ).
fof(f1108,plain,
( spl0_41
<=> between(v,w,x) ),
introduced(split_symbol_definition) ).
fof(f1109,plain,
( between(v,w,x)
| ~ spl0_41 ),
inference(component_clause,[status(thm)],[f1108]) ).
fof(f1111,plain,
( ~ between(w,v,u)
| ~ between(x,w,u)
| between(v,w,x)
| ~ spl0_19
| ~ spl0_31 ),
inference(paramodulation,[status(thm)],[f1100,f66]) ).
fof(f1112,plain,
( ~ spl0_31
| ~ spl0_19
| spl0_41 ),
inference(split_clause,[status(thm)],[f1111,f519,f386,f1108]) ).
fof(f1113,plain,
( $false
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[status(thm)],[f1109,f125]) ).
fof(f1114,plain,
~ spl0_41,
inference(contradiction_clause,[status(thm)],[f1113]) ).
fof(f1115,plain,
$false,
inference(sat_refutation,[status(thm)],[f362,f382,f390,f394,f523,f527,f1112,f1114]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : GEO043-3 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.08 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.27 % Computer : n015.cluster.edu
% 0.07/0.27 % Model : x86_64 x86_64
% 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27 % Memory : 8042.1875MB
% 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27 % CPULimit : 300
% 0.07/0.27 % WCLimit : 300
% 0.07/0.27 % DateTime : Tue Apr 30 01:57:32 EDT 2024
% 0.07/0.27 % CPUTime :
% 0.07/0.27 % Drodi V3.6.0
% 4.40/0.84 % Refutation found
% 4.40/0.84 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 4.40/0.84 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 4.40/0.85 % Elapsed time: 0.582098 seconds
% 4.40/0.85 % CPU time: 4.542690 seconds
% 4.40/0.85 % Total memory used: 104.469 MB
% 4.40/0.85 % Net memory used: 101.367 MB
%------------------------------------------------------------------------------