TSTP Solution File: KRS100+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : KRS100+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n008.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 20:24:46 EDT 2024
% Result : Unsatisfiable 0.11s 0.34s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 21 ( 5 unt; 0 def)
% Number of atoms : 95 ( 0 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 121 ( 47 ~; 42 |; 27 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 2 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 38 ( 30 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ! [Y] :
( rr(X,Y)
=> ( ce(Y)
| ~ cd(Y) ) )
& ! [Y] :
( rr(X,Y)
=> cd(Y) )
& ? [Y] :
( rr(X,Y)
& ~ ce(Y) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
cUnsatisfiable(i2003_11_14_17_20_32704),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,plain,
! [X] :
( cUnsatisfiable(X)
<=> ( ! [Y] :
( ~ rr(X,Y)
| ce(Y)
| ~ cd(Y) )
& ! [Y] :
( ~ rr(X,Y)
| cd(Y) )
& ? [Y] :
( rr(X,Y)
& ~ ce(Y) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f3]) ).
fof(f14,plain,
! [X] :
( ( ~ cUnsatisfiable(X)
| ( ! [Y] :
( ~ rr(X,Y)
| ce(Y)
| ~ cd(Y) )
& ! [Y] :
( ~ rr(X,Y)
| cd(Y) )
& ? [Y] :
( rr(X,Y)
& ~ ce(Y) ) ) )
& ( cUnsatisfiable(X)
| ? [Y] :
( rr(X,Y)
& ~ ce(Y)
& cd(Y) )
| ? [Y] :
( rr(X,Y)
& ~ cd(Y) )
| ! [Y] :
( ~ rr(X,Y)
| ce(Y) ) ) ),
inference(NNF_transformation,[status(esa)],[f13]) ).
fof(f15,plain,
( ! [X] :
( ~ cUnsatisfiable(X)
| ( ! [Y] :
( ~ rr(X,Y)
| ce(Y)
| ~ cd(Y) )
& ! [Y] :
( ~ rr(X,Y)
| cd(Y) )
& ? [Y] :
( rr(X,Y)
& ~ ce(Y) ) ) )
& ! [X] :
( cUnsatisfiable(X)
| ? [Y] :
( rr(X,Y)
& ~ ce(Y)
& cd(Y) )
| ? [Y] :
( rr(X,Y)
& ~ cd(Y) )
| ! [Y] :
( ~ rr(X,Y)
| ce(Y) ) ) ),
inference(miniscoping,[status(esa)],[f14]) ).
fof(f16,plain,
( ! [X] :
( ~ cUnsatisfiable(X)
| ( ! [Y] :
( ~ rr(X,Y)
| ce(Y)
| ~ cd(Y) )
& ! [Y] :
( ~ rr(X,Y)
| cd(Y) )
& rr(X,sk0_0(X))
& ~ ce(sk0_0(X)) ) )
& ! [X] :
( cUnsatisfiable(X)
| ( rr(X,sk0_1(X))
& ~ ce(sk0_1(X))
& cd(sk0_1(X)) )
| ( rr(X,sk0_2(X))
& ~ cd(sk0_2(X)) )
| ! [Y] :
( ~ rr(X,Y)
| ce(Y) ) ) ),
inference(skolemization,[status(esa)],[f15]) ).
fof(f17,plain,
! [X0,X1] :
( ~ cUnsatisfiable(X0)
| ~ rr(X0,X1)
| ce(X1)
| ~ cd(X1) ),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f18,plain,
! [X0,X1] :
( ~ cUnsatisfiable(X0)
| ~ rr(X0,X1)
| cd(X1) ),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f19,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rr(X0,sk0_0(X0)) ),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f20,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| ~ ce(sk0_0(X0)) ),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f29,plain,
cUnsatisfiable(i2003_11_14_17_20_32704),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f30,plain,
! [X0,X1] :
( ~ cUnsatisfiable(X0)
| ~ rr(X0,X1)
| ce(X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f17,f18]) ).
fof(f37,plain,
! [X0] :
( ~ rr(i2003_11_14_17_20_32704,X0)
| ce(X0) ),
inference(resolution,[status(thm)],[f30,f29]) ).
fof(f38,plain,
! [X0] :
( ~ rr(i2003_11_14_17_20_32704,sk0_0(X0))
| ~ cUnsatisfiable(X0) ),
inference(resolution,[status(thm)],[f37,f20]) ).
fof(f40,plain,
( spl0_0
<=> cUnsatisfiable(i2003_11_14_17_20_32704) ),
introduced(split_symbol_definition) ).
fof(f42,plain,
( ~ cUnsatisfiable(i2003_11_14_17_20_32704)
| spl0_0 ),
inference(component_clause,[status(thm)],[f40]) ).
fof(f43,plain,
( ~ cUnsatisfiable(i2003_11_14_17_20_32704)
| ~ cUnsatisfiable(i2003_11_14_17_20_32704) ),
inference(resolution,[status(thm)],[f38,f19]) ).
fof(f44,plain,
~ spl0_0,
inference(split_clause,[status(thm)],[f43,f40]) ).
fof(f45,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f42,f29]) ).
fof(f46,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f45]) ).
fof(f47,plain,
$false,
inference(sat_refutation,[status(thm)],[f44,f46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12 % Problem : KRS100+1 : TPTP v8.1.2. Released v3.1.0.
% 0.05/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.33 % Computer : n008.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Mon Apr 29 23:27:27 EDT 2024
% 0.11/0.34 % CPUTime :
% 0.11/0.34 % Drodi V3.6.0
% 0.11/0.34 % Refutation found
% 0.11/0.34 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.34 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.35 % Elapsed time: 0.009552 seconds
% 0.11/0.35 % CPU time: 0.016235 seconds
% 0.11/0.35 % Total memory used: 387.200 KB
% 0.11/0.35 % Net memory used: 377.744 KB
%------------------------------------------------------------------------------