TSTP Solution File: GEO042-3 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO042-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n019.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 0.20s 0.50s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 15
% Syntax : Number of formulae : 49 ( 16 unt; 0 def)
% Number of atoms : 92 ( 13 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 81 ( 38 ~; 38 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 6 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-5 aty)
% Number of variables : 50 ( 50 !; 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(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(f39,axiom,
! [U,V,W] :
( ~ between(U,V,W)
| U = V
| W = extension(U,V,V,W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f44,axiom,
! [U,V] : between(U,V,V),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f46,axiom,
! [U,V,W] :
( ~ between(U,V,W)
| between(W,V,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f52,hypothesis,
between(u,v,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f53,hypothesis,
between(v,w,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f54,negated_conjecture,
~ between(u,v,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f60,plain,
! [X0,X1,X2,X3] : between(X0,X1,extension(X0,X1,X2,X3)),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f64,plain,
! [X0,X1] :
( ~ between(X0,X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f65,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(f66,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(f101,plain,
! [X0,X1,X2] :
( ~ between(X0,X1,X2)
| X0 = X1
| X2 = extension(X0,X1,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f39]) ).
fof(f107,plain,
! [X0,X1] : between(X0,X1,X1),
inference(cnf_transformation,[status(esa)],[f44]) ).
fof(f110,plain,
! [X0,X1,X2] :
( ~ between(X0,X1,X2)
| between(X2,X1,X0) ),
inference(cnf_transformation,[status(esa)],[f46]) ).
fof(f120,plain,
between(u,v,x),
inference(cnf_transformation,[status(esa)],[f52]) ).
fof(f121,plain,
between(v,w,x),
inference(cnf_transformation,[status(esa)],[f53]) ).
fof(f122,plain,
~ between(u,v,w),
inference(cnf_transformation,[status(esa)],[f54]) ).
fof(f128,plain,
~ between(w,v,u),
inference(resolution,[status(thm)],[f110,f122]) ).
fof(f135,plain,
( spl0_1
<=> w = v ),
introduced(split_symbol_definition) ).
fof(f136,plain,
( w = v
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f135]) ).
fof(f379,plain,
( spl0_10
<=> x = extension(v,w,w,x) ),
introduced(split_symbol_definition) ).
fof(f380,plain,
( x = extension(v,w,w,x)
| ~ spl0_10 ),
inference(component_clause,[status(thm)],[f379]) ).
fof(f382,plain,
( v = w
| x = extension(v,w,w,x) ),
inference(resolution,[status(thm)],[f101,f121]) ).
fof(f383,plain,
( spl0_1
| spl0_10 ),
inference(split_clause,[status(thm)],[f382,f135,f379]) ).
fof(f423,plain,
( spl0_12
<=> between(v,w,x) ),
introduced(split_symbol_definition) ).
fof(f425,plain,
( ~ between(v,w,x)
| spl0_12 ),
inference(component_clause,[status(thm)],[f423]) ).
fof(f443,plain,
( $false
| spl0_12 ),
inference(forward_subsumption_resolution,[status(thm)],[f425,f121]) ).
fof(f444,plain,
spl0_12,
inference(contradiction_clause,[status(thm)],[f443]) ).
fof(f445,plain,
( spl0_16
<=> between(u,v,x) ),
introduced(split_symbol_definition) ).
fof(f447,plain,
( ~ between(u,v,x)
| spl0_16 ),
inference(component_clause,[status(thm)],[f445]) ).
fof(f465,plain,
( $false
| spl0_16 ),
inference(forward_subsumption_resolution,[status(thm)],[f447,f120]) ).
fof(f466,plain,
spl0_16,
inference(contradiction_clause,[status(thm)],[f465]) ).
fof(f507,plain,
! [X0,X1] :
( ~ between(X0,X1,x)
| between(v,inner_pasch(X0,X1,x,v,u),X0) ),
inference(resolution,[status(thm)],[f66,f120]) ).
fof(f954,plain,
( ~ between(u,v,v)
| ~ spl0_1 ),
inference(backward_demodulation,[status(thm)],[f136,f122]) ).
fof(f955,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f954,f107]) ).
fof(f956,plain,
~ spl0_1,
inference(contradiction_clause,[status(thm)],[f955]) ).
fof(f996,plain,
( between(v,w,x)
| ~ spl0_10 ),
inference(paramodulation,[status(thm)],[f380,f60]) ).
fof(f1001,plain,
( between(v,inner_pasch(v,w,x,v,u),v)
| ~ spl0_10 ),
inference(resolution,[status(thm)],[f996,f507]) ).
fof(f1510,plain,
( v = inner_pasch(v,w,x,v,u)
| ~ spl0_10 ),
inference(resolution,[status(thm)],[f1001,f64]) ).
fof(f1553,plain,
( spl0_64
<=> between(w,v,u) ),
introduced(split_symbol_definition) ).
fof(f1554,plain,
( between(w,v,u)
| ~ spl0_64 ),
inference(component_clause,[status(thm)],[f1553]) ).
fof(f1556,plain,
( ~ between(v,w,x)
| ~ between(u,v,x)
| between(w,v,u)
| ~ spl0_10 ),
inference(paramodulation,[status(thm)],[f1510,f65]) ).
fof(f1557,plain,
( ~ spl0_12
| ~ spl0_16
| spl0_64
| ~ spl0_10 ),
inference(split_clause,[status(thm)],[f1556,f423,f445,f1553,f379]) ).
fof(f1558,plain,
( $false
| ~ spl0_64 ),
inference(forward_subsumption_resolution,[status(thm)],[f1554,f128]) ).
fof(f1559,plain,
~ spl0_64,
inference(contradiction_clause,[status(thm)],[f1558]) ).
fof(f1560,plain,
$false,
inference(sat_refutation,[status(thm)],[f383,f444,f466,f956,f1557,f1559]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GEO042-3 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n019.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 30 01:37:29 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 0.20/0.50 % Refutation found
% 0.20/0.50 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.50 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.52 % Elapsed time: 0.161961 seconds
% 0.20/0.52 % CPU time: 1.185030 seconds
% 0.20/0.52 % Total memory used: 69.584 MB
% 0.20/0.52 % Net memory used: 68.830 MB
%------------------------------------------------------------------------------