TSTP Solution File: GEO010-3 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO010-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n002.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 20:16:47 EDT 2024
% Result : Unsatisfiable 0.07s 0.28s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 17
% Syntax : Number of formulae : 76 ( 3 unt; 0 def)
% Number of atoms : 172 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 171 ( 75 ~; 88 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 9 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 42 ( 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f19,axiom,
! [X,Y,Z] :
( ~ between(X,Y,Z)
| colinear(X,Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [Y,Z,X] :
( ~ between(Y,Z,X)
| colinear(X,Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [Z,X,Y] :
( ~ between(Z,X,Y)
| colinear(X,Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [X,Y,Z] :
( ~ colinear(X,Y,Z)
| between(X,Y,Z)
| between(Y,Z,X)
| between(Z,X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f88,axiom,
! [W,V,U] :
( ~ between(W,V,U)
| colinear(U,V,W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f89,axiom,
! [U,W,V] :
( ~ between(U,W,V)
| colinear(U,V,W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f90,axiom,
! [V,U,W] :
( ~ between(V,U,W)
| colinear(U,V,W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f91,hypothesis,
colinear(a,b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f92,negated_conjecture,
( ~ colinear(a,c,b)
| ~ colinear(b,a,c)
| ~ colinear(b,c,a)
| ~ colinear(c,a,b)
| ~ colinear(c,b,a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f115,plain,
! [X0,X1,X2] :
( ~ between(X0,X1,X2)
| colinear(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f19]) ).
fof(f116,plain,
! [X0,X1,X2] :
( ~ between(X0,X1,X2)
| colinear(X2,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f20]) ).
fof(f117,plain,
! [X0,X1,X2] :
( ~ between(X0,X1,X2)
| colinear(X1,X2,X0) ),
inference(cnf_transformation,[status(esa)],[f21]) ).
fof(f118,plain,
! [X0,X1,X2] :
( ~ colinear(X0,X1,X2)
| between(X0,X1,X2)
| between(X1,X2,X0)
| between(X2,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f22]) ).
fof(f215,plain,
! [X0,X1,X2] :
( ~ between(X0,X1,X2)
| colinear(X2,X1,X0) ),
inference(cnf_transformation,[status(esa)],[f88]) ).
fof(f216,plain,
! [X0,X1,X2] :
( ~ between(X0,X1,X2)
| colinear(X0,X2,X1) ),
inference(cnf_transformation,[status(esa)],[f89]) ).
fof(f217,plain,
! [X0,X1,X2] :
( ~ between(X0,X1,X2)
| colinear(X1,X0,X2) ),
inference(cnf_transformation,[status(esa)],[f90]) ).
fof(f218,plain,
colinear(a,b,c),
inference(cnf_transformation,[status(esa)],[f91]) ).
fof(f219,plain,
( ~ colinear(a,c,b)
| ~ colinear(b,a,c)
| ~ colinear(b,c,a)
| ~ colinear(c,a,b)
| ~ colinear(c,b,a) ),
inference(cnf_transformation,[status(esa)],[f92]) ).
fof(f220,plain,
( spl0_0
<=> colinear(a,c,b) ),
introduced(split_symbol_definition) ).
fof(f222,plain,
( ~ colinear(a,c,b)
| spl0_0 ),
inference(component_clause,[status(thm)],[f220]) ).
fof(f223,plain,
( spl0_1
<=> colinear(b,a,c) ),
introduced(split_symbol_definition) ).
fof(f225,plain,
( ~ colinear(b,a,c)
| spl0_1 ),
inference(component_clause,[status(thm)],[f223]) ).
fof(f226,plain,
( spl0_2
<=> colinear(b,c,a) ),
introduced(split_symbol_definition) ).
fof(f228,plain,
( ~ colinear(b,c,a)
| spl0_2 ),
inference(component_clause,[status(thm)],[f226]) ).
fof(f229,plain,
( spl0_3
<=> colinear(c,a,b) ),
introduced(split_symbol_definition) ).
fof(f231,plain,
( ~ colinear(c,a,b)
| spl0_3 ),
inference(component_clause,[status(thm)],[f229]) ).
fof(f232,plain,
( spl0_4
<=> colinear(c,b,a) ),
introduced(split_symbol_definition) ).
fof(f234,plain,
( ~ colinear(c,b,a)
| spl0_4 ),
inference(component_clause,[status(thm)],[f232]) ).
fof(f235,plain,
( ~ spl0_0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(split_clause,[status(thm)],[f219,f220,f223,f226,f229,f232]) ).
fof(f239,plain,
( spl0_5
<=> between(a,b,c) ),
introduced(split_symbol_definition) ).
fof(f240,plain,
( between(a,b,c)
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f239]) ).
fof(f242,plain,
( spl0_6
<=> between(b,c,a) ),
introduced(split_symbol_definition) ).
fof(f243,plain,
( between(b,c,a)
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f242]) ).
fof(f245,plain,
( spl0_7
<=> between(c,a,b) ),
introduced(split_symbol_definition) ).
fof(f246,plain,
( between(c,a,b)
| ~ spl0_7 ),
inference(component_clause,[status(thm)],[f245]) ).
fof(f248,plain,
( between(a,b,c)
| between(b,c,a)
| between(c,a,b) ),
inference(resolution,[status(thm)],[f118,f218]) ).
fof(f249,plain,
( spl0_5
| spl0_6
| spl0_7 ),
inference(split_clause,[status(thm)],[f248,f239,f242,f245]) ).
fof(f290,plain,
( colinear(a,c,b)
| ~ spl0_7 ),
inference(resolution,[status(thm)],[f246,f217]) ).
fof(f291,plain,
( $false
| spl0_0
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f290,f222]) ).
fof(f292,plain,
( spl0_0
| ~ spl0_7 ),
inference(contradiction_clause,[status(thm)],[f291]) ).
fof(f293,plain,
( colinear(c,b,a)
| ~ spl0_6 ),
inference(resolution,[status(thm)],[f243,f217]) ).
fof(f294,plain,
( $false
| spl0_4
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f293,f234]) ).
fof(f295,plain,
( spl0_4
| ~ spl0_6 ),
inference(contradiction_clause,[status(thm)],[f294]) ).
fof(f307,plain,
( colinear(b,a,c)
| ~ spl0_5 ),
inference(resolution,[status(thm)],[f240,f217]) ).
fof(f308,plain,
( $false
| spl0_1
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f307,f225]) ).
fof(f309,plain,
( spl0_1
| ~ spl0_5 ),
inference(contradiction_clause,[status(thm)],[f308]) ).
fof(f310,plain,
( colinear(c,b,a)
| ~ spl0_5 ),
inference(resolution,[status(thm)],[f240,f215]) ).
fof(f311,plain,
( colinear(b,c,a)
| ~ spl0_5 ),
inference(resolution,[status(thm)],[f240,f117]) ).
fof(f312,plain,
( $false
| spl0_2
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f311,f228]) ).
fof(f313,plain,
( spl0_2
| ~ spl0_5 ),
inference(contradiction_clause,[status(thm)],[f312]) ).
fof(f314,plain,
( colinear(b,a,c)
| ~ spl0_6 ),
inference(resolution,[status(thm)],[f243,f216]) ).
fof(f315,plain,
( colinear(c,a,b)
| ~ spl0_6 ),
inference(resolution,[status(thm)],[f243,f117]) ).
fof(f316,plain,
( $false
| spl0_3
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f315,f231]) ).
fof(f317,plain,
( spl0_3
| ~ spl0_6 ),
inference(contradiction_clause,[status(thm)],[f316]) ).
fof(f318,plain,
( colinear(c,a,b)
| ~ spl0_5 ),
inference(resolution,[status(thm)],[f240,f116]) ).
fof(f319,plain,
( $false
| spl0_3
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f318,f231]) ).
fof(f320,plain,
( spl0_3
| ~ spl0_5 ),
inference(contradiction_clause,[status(thm)],[f319]) ).
fof(f322,plain,
( colinear(b,c,a)
| ~ spl0_6 ),
inference(resolution,[status(thm)],[f243,f115]) ).
fof(f323,plain,
( spl0_1
| ~ spl0_6 ),
inference(split_clause,[status(thm)],[f314,f223,f242]) ).
fof(f324,plain,
( colinear(a,c,b)
| ~ spl0_5 ),
inference(resolution,[status(thm)],[f240,f216]) ).
fof(f325,plain,
( spl0_0
| ~ spl0_5 ),
inference(split_clause,[status(thm)],[f324,f220,f239]) ).
fof(f327,plain,
( colinear(a,c,b)
| ~ spl0_6 ),
inference(resolution,[status(thm)],[f243,f215]) ).
fof(f328,plain,
( spl0_0
| ~ spl0_6 ),
inference(split_clause,[status(thm)],[f327,f220,f242]) ).
fof(f329,plain,
( spl0_4
| ~ spl0_5 ),
inference(split_clause,[status(thm)],[f310,f232,f239]) ).
fof(f330,plain,
( spl0_2
| ~ spl0_6 ),
inference(split_clause,[status(thm)],[f322,f226,f242]) ).
fof(f331,plain,
( colinear(c,b,a)
| ~ spl0_7 ),
inference(resolution,[status(thm)],[f246,f216]) ).
fof(f334,plain,
( colinear(b,c,a)
| ~ spl0_7 ),
inference(resolution,[status(thm)],[f246,f116]) ).
fof(f335,plain,
( colinear(c,a,b)
| ~ spl0_7 ),
inference(resolution,[status(thm)],[f246,f115]) ).
fof(f336,plain,
( spl0_3
| ~ spl0_7 ),
inference(split_clause,[status(thm)],[f335,f229,f245]) ).
fof(f353,plain,
( colinear(b,a,c)
| ~ spl0_7 ),
inference(resolution,[status(thm)],[f246,f215]) ).
fof(f354,plain,
( spl0_1
| ~ spl0_7 ),
inference(split_clause,[status(thm)],[f353,f223,f245]) ).
fof(f369,plain,
( $false
| ~ spl0_7
| spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f234,f331]) ).
fof(f370,plain,
( ~ spl0_7
| spl0_4 ),
inference(contradiction_clause,[status(thm)],[f369]) ).
fof(f371,plain,
( $false
| ~ spl0_7
| spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f228,f334]) ).
fof(f372,plain,
( ~ spl0_7
| spl0_2 ),
inference(contradiction_clause,[status(thm)],[f371]) ).
fof(f373,plain,
$false,
inference(sat_refutation,[status(thm)],[f235,f249,f292,f295,f309,f313,f317,f320,f323,f325,f328,f329,f330,f336,f354,f370,f372]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : GEO010-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.00/0.08 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.27 % Computer : n002.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 01:51:09 EDT 2024
% 0.07/0.27 % CPUTime :
% 0.07/0.27 % Drodi V3.6.0
% 0.07/0.28 % Refutation found
% 0.07/0.28 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.07/0.28 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.29 % Elapsed time: 0.015079 seconds
% 0.11/0.29 % CPU time: 0.026219 seconds
% 0.11/0.29 % Total memory used: 13.493 MB
% 0.11/0.29 % Net memory used: 13.458 MB
%------------------------------------------------------------------------------