TSTP Solution File: SYN251-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN251-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n017.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 12:46:20 EDT 2023
% Result : Unsatisfiable 0.06s 0.28s
% Output : CNFRefutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 12
% Syntax : Number of formulae : 41 ( 13 unt; 0 def)
% Number of atoms : 80 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 73 ( 34 ~; 34 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 6 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 22 (; 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
s0(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,axiom,
n0(e,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,axiom,
k0(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f49,axiom,
! [J,A] :
( m1(J,J,A)
| ~ k0(J)
| ~ n0(A,A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f54,axiom,
! [H,I,J,A] :
( m1(H,I,I)
| ~ m1(J,I,H)
| ~ m1(J,A,I) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f70,axiom,
! [F] :
( m1(F,F,F)
| ~ s0(F) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f369,negated_conjecture,
~ m1(e,b,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f374,plain,
s0(b),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f399,plain,
n0(e,e),
inference(cnf_transformation,[status(esa)],[f30]) ).
fof(f401,plain,
k0(b),
inference(cnf_transformation,[status(esa)],[f32]) ).
fof(f425,plain,
! [A] :
( ! [J] :
( m1(J,J,A)
| ~ k0(J) )
| ~ n0(A,A) ),
inference(miniscoping,[status(esa)],[f49]) ).
fof(f426,plain,
! [X0,X1] :
( m1(X0,X0,X1)
| ~ k0(X0)
| ~ n0(X1,X1) ),
inference(cnf_transformation,[status(esa)],[f425]) ).
fof(f434,plain,
! [I,J] :
( ! [H] :
( m1(H,I,I)
| ~ m1(J,I,H) )
| ! [A] : ~ m1(J,A,I) ),
inference(miniscoping,[status(esa)],[f54]) ).
fof(f435,plain,
! [X0,X1,X2,X3] :
( m1(X0,X1,X1)
| ~ m1(X2,X1,X0)
| ~ m1(X2,X3,X1) ),
inference(cnf_transformation,[status(esa)],[f434]) ).
fof(f459,plain,
! [X0] :
( m1(X0,X0,X0)
| ~ s0(X0) ),
inference(cnf_transformation,[status(esa)],[f70]) ).
fof(f924,plain,
~ m1(e,b,b),
inference(cnf_transformation,[status(esa)],[f369]) ).
fof(f1051,plain,
( spl0_36
<=> s0(b) ),
introduced(split_symbol_definition) ).
fof(f1053,plain,
( ~ s0(b)
| spl0_36 ),
inference(component_clause,[status(thm)],[f1051]) ).
fof(f1120,plain,
( spl0_56
<=> k0(b) ),
introduced(split_symbol_definition) ).
fof(f1122,plain,
( ~ k0(b)
| spl0_56 ),
inference(component_clause,[status(thm)],[f1120]) ).
fof(f2000,plain,
( spl0_303
<=> m1(b,b,e) ),
introduced(split_symbol_definition) ).
fof(f2001,plain,
( m1(b,b,e)
| ~ spl0_303 ),
inference(component_clause,[status(thm)],[f2000]) ).
fof(f2002,plain,
( ~ m1(b,b,e)
| spl0_303 ),
inference(component_clause,[status(thm)],[f2000]) ).
fof(f2055,plain,
( $false
| spl0_56 ),
inference(forward_subsumption_resolution,[status(thm)],[f1122,f401]) ).
fof(f2056,plain,
spl0_56,
inference(contradiction_clause,[status(thm)],[f2055]) ).
fof(f2063,plain,
( $false
| spl0_36 ),
inference(forward_subsumption_resolution,[status(thm)],[f1053,f374]) ).
fof(f2064,plain,
spl0_36,
inference(contradiction_clause,[status(thm)],[f2063]) ).
fof(f2114,plain,
! [X0,X1] :
( ~ s0(X0)
| m1(X1,X0,X0)
| ~ m1(X0,X0,X1) ),
inference(resolution,[status(thm)],[f459,f435]) ).
fof(f2123,plain,
( spl0_309
<=> n0(e,e) ),
introduced(split_symbol_definition) ).
fof(f2125,plain,
( ~ n0(e,e)
| spl0_309 ),
inference(component_clause,[status(thm)],[f2123]) ).
fof(f2126,plain,
( ~ k0(b)
| ~ n0(e,e)
| spl0_303 ),
inference(resolution,[status(thm)],[f426,f2002]) ).
fof(f2127,plain,
( ~ spl0_56
| ~ spl0_309
| spl0_303 ),
inference(split_clause,[status(thm)],[f2126,f1120,f2123,f2000]) ).
fof(f2130,plain,
( $false
| spl0_309 ),
inference(forward_subsumption_resolution,[status(thm)],[f2125,f399]) ).
fof(f2131,plain,
spl0_309,
inference(contradiction_clause,[status(thm)],[f2130]) ).
fof(f2355,plain,
( spl0_338
<=> m1(e,b,b) ),
introduced(split_symbol_definition) ).
fof(f2356,plain,
( m1(e,b,b)
| ~ spl0_338 ),
inference(component_clause,[status(thm)],[f2355]) ).
fof(f2358,plain,
( ~ s0(b)
| m1(e,b,b)
| ~ spl0_303 ),
inference(resolution,[status(thm)],[f2114,f2001]) ).
fof(f2359,plain,
( ~ spl0_36
| spl0_338
| ~ spl0_303 ),
inference(split_clause,[status(thm)],[f2358,f1051,f2355,f2000]) ).
fof(f2369,plain,
( $false
| ~ spl0_338 ),
inference(forward_subsumption_resolution,[status(thm)],[f2356,f924]) ).
fof(f2370,plain,
~ spl0_338,
inference(contradiction_clause,[status(thm)],[f2369]) ).
fof(f2371,plain,
$false,
inference(sat_refutation,[status(thm)],[f2056,f2064,f2127,f2131,f2359,f2370]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SYN251-1 : TPTP v8.1.2. Released v1.1.0.
% 0.00/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.26 % Computer : n017.cluster.edu
% 0.06/0.26 % Model : x86_64 x86_64
% 0.06/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26 % Memory : 8042.1875MB
% 0.06/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26 % CPULimit : 300
% 0.06/0.26 % WCLimit : 300
% 0.06/0.26 % DateTime : Tue May 30 09:57:55 EDT 2023
% 0.06/0.26 % CPUTime :
% 0.06/0.27 % Drodi V3.5.1
% 0.06/0.28 % Refutation found
% 0.06/0.28 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.06/0.28 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.29 % Elapsed time: 0.024752 seconds
% 0.10/0.29 % CPU time: 0.069521 seconds
% 0.10/0.29 % Memory used: 11.741 MB
%------------------------------------------------------------------------------