TSTP Solution File: KRS067+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : KRS067+1 : TPTP v8.1.2. Released v3.1.0.
% 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 20:24:41 EDT 2024
% Result : Unsatisfiable 0.13s 0.34s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 38 ( 8 unt; 0 def)
% Number of atoms : 113 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 123 ( 48 ~; 47 |; 21 &)
% ( 5 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 3 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ( cc(X)
& cb(X) )
| ( cb(X)
& ca(X) )
| ( cc(X)
& ca(X) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X] :
( ca(X)
=> ~ ( cc(X)
| cb(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X] :
( cb(X)
=> ~ cc(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
cUnsatisfiable(i2003_11_14_17_18_1956),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,plain,
! [X] :
( pd0_0(X)
<=> ( ( cc(X)
& cb(X) )
| ( cb(X)
& ca(X) ) ) ),
introduced(predicate_definition,[f3]) ).
fof(f15,plain,
! [X] :
( cUnsatisfiable(X)
<=> ( pd0_0(X)
| ( cc(X)
& ca(X) ) ) ),
inference(formula_renaming,[status(thm)],[f3,f14]) ).
fof(f16,plain,
! [X] :
( ( ~ cUnsatisfiable(X)
| pd0_0(X)
| ( cc(X)
& ca(X) ) )
& ( cUnsatisfiable(X)
| ( ~ pd0_0(X)
& ( ~ cc(X)
| ~ ca(X) ) ) ) ),
inference(NNF_transformation,[status(esa)],[f15]) ).
fof(f17,plain,
( ! [X] :
( ~ cUnsatisfiable(X)
| pd0_0(X)
| ( cc(X)
& ca(X) ) )
& ! [X] :
( cUnsatisfiable(X)
| ( ~ pd0_0(X)
& ( ~ cc(X)
| ~ ca(X) ) ) ) ),
inference(miniscoping,[status(esa)],[f16]) ).
fof(f18,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| pd0_0(X0)
| cc(X0) ),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f19,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| pd0_0(X0)
| ca(X0) ),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f22,plain,
! [X] :
( ~ ca(X)
| ( ~ cc(X)
& ~ cb(X) ) ),
inference(pre_NNF_transformation,[status(esa)],[f4]) ).
fof(f23,plain,
! [X0] :
( ~ ca(X0)
| ~ cc(X0) ),
inference(cnf_transformation,[status(esa)],[f22]) ).
fof(f24,plain,
! [X0] :
( ~ ca(X0)
| ~ cb(X0) ),
inference(cnf_transformation,[status(esa)],[f22]) ).
fof(f25,plain,
! [X] :
( ~ cb(X)
| ~ cc(X) ),
inference(pre_NNF_transformation,[status(esa)],[f5]) ).
fof(f26,plain,
! [X0] :
( ~ cb(X0)
| ~ cc(X0) ),
inference(cnf_transformation,[status(esa)],[f25]) ).
fof(f27,plain,
cUnsatisfiable(i2003_11_14_17_18_1956),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f28,plain,
! [X] :
( ( ~ pd0_0(X)
| ( cc(X)
& cb(X) )
| ( cb(X)
& ca(X) ) )
& ( pd0_0(X)
| ( ( ~ cc(X)
| ~ cb(X) )
& ( ~ cb(X)
| ~ ca(X) ) ) ) ),
inference(NNF_transformation,[status(esa)],[f14]) ).
fof(f29,plain,
( ! [X] :
( ~ pd0_0(X)
| ( cc(X)
& cb(X) )
| ( cb(X)
& ca(X) ) )
& ! [X] :
( pd0_0(X)
| ( ( ~ cc(X)
| ~ cb(X) )
& ( ~ cb(X)
| ~ ca(X) ) ) ) ),
inference(miniscoping,[status(esa)],[f28]) ).
fof(f31,plain,
! [X0] :
( ~ pd0_0(X0)
| cc(X0)
| ca(X0) ),
inference(cnf_transformation,[status(esa)],[f29]) ).
fof(f32,plain,
! [X0] :
( ~ pd0_0(X0)
| cb(X0)
| cb(X0) ),
inference(cnf_transformation,[status(esa)],[f29]) ).
fof(f36,plain,
! [X0] :
( ~ pd0_0(X0)
| cb(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f32]) ).
fof(f37,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| pd0_0(X0)
| ~ cc(X0) ),
inference(resolution,[status(thm)],[f19,f23]) ).
fof(f38,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| pd0_0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f37,f18]) ).
fof(f39,plain,
pd0_0(i2003_11_14_17_18_1956),
inference(resolution,[status(thm)],[f38,f27]) ).
fof(f40,plain,
cb(i2003_11_14_17_18_1956),
inference(resolution,[status(thm)],[f39,f36]) ).
fof(f41,plain,
( spl0_0
<=> cc(i2003_11_14_17_18_1956) ),
introduced(split_symbol_definition) ).
fof(f42,plain,
( cc(i2003_11_14_17_18_1956)
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f41]) ).
fof(f44,plain,
( spl0_1
<=> ca(i2003_11_14_17_18_1956) ),
introduced(split_symbol_definition) ).
fof(f45,plain,
( ca(i2003_11_14_17_18_1956)
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f44]) ).
fof(f47,plain,
( cc(i2003_11_14_17_18_1956)
| ca(i2003_11_14_17_18_1956) ),
inference(resolution,[status(thm)],[f39,f31]) ).
fof(f48,plain,
( spl0_0
| spl0_1 ),
inference(split_clause,[status(thm)],[f47,f41,f44]) ).
fof(f50,plain,
~ cc(i2003_11_14_17_18_1956),
inference(resolution,[status(thm)],[f40,f26]) ).
fof(f51,plain,
( $false
| ~ spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f50,f42]) ).
fof(f52,plain,
~ spl0_0,
inference(contradiction_clause,[status(thm)],[f51]) ).
fof(f53,plain,
( ~ cb(i2003_11_14_17_18_1956)
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f45,f24]) ).
fof(f54,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f53,f40]) ).
fof(f55,plain,
~ spl0_1,
inference(contradiction_clause,[status(thm)],[f54]) ).
fof(f56,plain,
$false,
inference(sat_refutation,[status(thm)],[f48,f52,f55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS067+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 29 23:27:44 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Drodi V3.6.0
% 0.13/0.34 % Refutation found
% 0.13/0.34 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.34 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.35 % Elapsed time: 0.010880 seconds
% 0.13/0.35 % CPU time: 0.019254 seconds
% 0.13/0.35 % Total memory used: 308.048 KB
% 0.13/0.35 % Net memory used: 300.576 KB
%------------------------------------------------------------------------------