TSTP Solution File: KRS077+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : KRS077+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n012.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 20:24:42 EDT 2024
% Result : Unsatisfiable 0.14s 0.31s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 8
% Syntax : Number of formulae : 47 ( 8 unt; 0 def)
% Number of atoms : 176 ( 14 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 206 ( 77 ~; 72 |; 46 &)
% ( 8 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 4 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-2 aty)
% Number of variables : 87 ( 71 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f15,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ! [Y0,Y1] :
( ( rr(X,Y0)
& rr(X,Y1) )
=> Y0 = Y1 )
& ? [Y] :
( rr(X,Y)
& ! [Z] :
( rinvS(Y,Z)
=> cp(Z) ) )
& ~ cp(X)
& ? [Y] :
( rs(X,Y)
& cp(Y) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [X,Y] :
( rinvS(X,Y)
<=> rs(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
cUnsatisfiable(i2003_11_14_17_19_09372),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [X,Y] :
( rs(X,Y)
=> rr(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f62,plain,
! [X] :
( cUnsatisfiable(X)
<=> ( ! [Y0,Y1] :
( ~ rr(X,Y0)
| ~ rr(X,Y1)
| Y0 = Y1 )
& ? [Y] :
( rr(X,Y)
& ! [Z] :
( ~ rinvS(Y,Z)
| cp(Z) ) )
& ~ cp(X)
& ? [Y] :
( rs(X,Y)
& cp(Y) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f15]) ).
fof(f63,plain,
! [Y,Z] :
( pd0_0(Z,Y)
<=> ( ~ rinvS(Y,Z)
| cp(Z) ) ),
introduced(predicate_definition,[f62]) ).
fof(f64,plain,
! [X] :
( cUnsatisfiable(X)
<=> ( ! [Y0,Y1] :
( ~ rr(X,Y0)
| ~ rr(X,Y1)
| Y0 = Y1 )
& ? [Y] :
( rr(X,Y)
& ! [Z] : pd0_0(Z,Y) )
& ~ cp(X)
& ? [Y] :
( rs(X,Y)
& cp(Y) ) ) ),
inference(formula_renaming,[status(thm)],[f62,f63]) ).
fof(f65,plain,
! [X] :
( ( ~ cUnsatisfiable(X)
| ( ! [Y0,Y1] :
( ~ rr(X,Y0)
| ~ rr(X,Y1)
| Y0 = Y1 )
& ? [Y] :
( rr(X,Y)
& ! [Z] : pd0_0(Z,Y) )
& ~ cp(X)
& ? [Y] :
( rs(X,Y)
& cp(Y) ) ) )
& ( cUnsatisfiable(X)
| ? [Y0,Y1] :
( rr(X,Y0)
& rr(X,Y1)
& Y0 != Y1 )
| ! [Y] :
( ~ rr(X,Y)
| ? [Z] : ~ pd0_0(Z,Y) )
| cp(X)
| ! [Y] :
( ~ rs(X,Y)
| ~ cp(Y) ) ) ),
inference(NNF_transformation,[status(esa)],[f64]) ).
fof(f66,plain,
( ! [X] :
( ~ cUnsatisfiable(X)
| ( ! [Y0,Y1] :
( ~ rr(X,Y0)
| ~ rr(X,Y1)
| Y0 = Y1 )
& ? [Y] :
( rr(X,Y)
& ! [Z] : pd0_0(Z,Y) )
& ~ cp(X)
& ? [Y] :
( rs(X,Y)
& cp(Y) ) ) )
& ! [X] :
( cUnsatisfiable(X)
| ? [Y0,Y1] :
( rr(X,Y0)
& rr(X,Y1)
& Y0 != Y1 )
| ! [Y] :
( ~ rr(X,Y)
| ? [Z] : ~ pd0_0(Z,Y) )
| cp(X)
| ! [Y] :
( ~ rs(X,Y)
| ~ cp(Y) ) ) ),
inference(miniscoping,[status(esa)],[f65]) ).
fof(f67,plain,
( ! [X] :
( ~ cUnsatisfiable(X)
| ( ! [Y0,Y1] :
( ~ rr(X,Y0)
| ~ rr(X,Y1)
| Y0 = Y1 )
& rr(X,sk0_0(X))
& ! [Z] : pd0_0(Z,sk0_0(X))
& ~ cp(X)
& rs(X,sk0_1(X))
& cp(sk0_1(X)) ) )
& ! [X] :
( cUnsatisfiable(X)
| ( rr(X,sk0_2(X))
& rr(X,sk0_3(X))
& sk0_2(X) != sk0_3(X) )
| ! [Y] :
( ~ rr(X,Y)
| ~ pd0_0(sk0_4(Y,X),Y) )
| cp(X)
| ! [Y] :
( ~ rs(X,Y)
| ~ cp(Y) ) ) ),
inference(skolemization,[status(esa)],[f66]) ).
fof(f68,plain,
! [X0,X1,X2] :
( ~ cUnsatisfiable(X0)
| ~ rr(X0,X1)
| ~ rr(X0,X2)
| X1 = X2 ),
inference(cnf_transformation,[status(esa)],[f67]) ).
fof(f69,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rr(X0,sk0_0(X0)) ),
inference(cnf_transformation,[status(esa)],[f67]) ).
fof(f70,plain,
! [X0,X1] :
( ~ cUnsatisfiable(X0)
| pd0_0(X1,sk0_0(X0)) ),
inference(cnf_transformation,[status(esa)],[f67]) ).
fof(f71,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| ~ cp(X0) ),
inference(cnf_transformation,[status(esa)],[f67]) ).
fof(f72,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rs(X0,sk0_1(X0)) ),
inference(cnf_transformation,[status(esa)],[f67]) ).
fof(f77,plain,
! [X,Y] :
( ( ~ rinvS(X,Y)
| rs(Y,X) )
& ( rinvS(X,Y)
| ~ rs(Y,X) ) ),
inference(NNF_transformation,[status(esa)],[f16]) ).
fof(f78,plain,
( ! [X,Y] :
( ~ rinvS(X,Y)
| rs(Y,X) )
& ! [X,Y] :
( rinvS(X,Y)
| ~ rs(Y,X) ) ),
inference(miniscoping,[status(esa)],[f77]) ).
fof(f80,plain,
! [X0,X1] :
( rinvS(X0,X1)
| ~ rs(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f78]) ).
fof(f81,plain,
cUnsatisfiable(i2003_11_14_17_19_09372),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f82,plain,
! [X,Y] :
( ~ rs(X,Y)
| rr(X,Y) ),
inference(pre_NNF_transformation,[status(esa)],[f18]) ).
fof(f83,plain,
! [X0,X1] :
( ~ rs(X0,X1)
| rr(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f82]) ).
fof(f84,plain,
! [Y,Z] :
( ( ~ pd0_0(Z,Y)
| ~ rinvS(Y,Z)
| cp(Z) )
& ( pd0_0(Z,Y)
| ( rinvS(Y,Z)
& ~ cp(Z) ) ) ),
inference(NNF_transformation,[status(esa)],[f63]) ).
fof(f85,plain,
( ! [Y,Z] :
( ~ pd0_0(Z,Y)
| ~ rinvS(Y,Z)
| cp(Z) )
& ! [Y,Z] :
( pd0_0(Z,Y)
| ( rinvS(Y,Z)
& ~ cp(Z) ) ) ),
inference(miniscoping,[status(esa)],[f84]) ).
fof(f86,plain,
! [X0,X1] :
( ~ pd0_0(X0,X1)
| ~ rinvS(X1,X0)
| cp(X0) ),
inference(cnf_transformation,[status(esa)],[f85]) ).
fof(f89,plain,
! [X0,X1] :
( ~ cUnsatisfiable(X0)
| ~ cUnsatisfiable(X0)
| ~ rr(X0,X1)
| X1 = sk0_0(X0) ),
inference(resolution,[status(thm)],[f69,f68]) ).
fof(f90,plain,
! [X0,X1] :
( ~ cUnsatisfiable(X0)
| ~ rr(X0,X1)
| X1 = sk0_0(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f89]) ).
fof(f96,plain,
rs(i2003_11_14_17_19_09372,sk0_1(i2003_11_14_17_19_09372)),
inference(resolution,[status(thm)],[f72,f81]) ).
fof(f97,plain,
( spl0_0
<=> cUnsatisfiable(i2003_11_14_17_19_09372) ),
introduced(split_symbol_definition) ).
fof(f99,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_09372)
| spl0_0 ),
inference(component_clause,[status(thm)],[f97]) ).
fof(f106,plain,
( spl0_3
<=> cp(i2003_11_14_17_19_09372) ),
introduced(split_symbol_definition) ).
fof(f107,plain,
( cp(i2003_11_14_17_19_09372)
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f106]) ).
fof(f116,plain,
rr(i2003_11_14_17_19_09372,sk0_1(i2003_11_14_17_19_09372)),
inference(resolution,[status(thm)],[f96,f83]) ).
fof(f117,plain,
rinvS(sk0_1(i2003_11_14_17_19_09372),i2003_11_14_17_19_09372),
inference(resolution,[status(thm)],[f96,f80]) ).
fof(f123,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f99,f81]) ).
fof(f124,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f123]) ).
fof(f126,plain,
( spl0_6
<=> pd0_0(i2003_11_14_17_19_09372,sk0_1(i2003_11_14_17_19_09372)) ),
introduced(split_symbol_definition) ).
fof(f128,plain,
( ~ pd0_0(i2003_11_14_17_19_09372,sk0_1(i2003_11_14_17_19_09372))
| spl0_6 ),
inference(component_clause,[status(thm)],[f126]) ).
fof(f129,plain,
( ~ pd0_0(i2003_11_14_17_19_09372,sk0_1(i2003_11_14_17_19_09372))
| cp(i2003_11_14_17_19_09372) ),
inference(resolution,[status(thm)],[f86,f117]) ).
fof(f130,plain,
( ~ spl0_6
| spl0_3 ),
inference(split_clause,[status(thm)],[f129,f126,f106]) ).
fof(f131,plain,
! [X0] :
( ~ rr(i2003_11_14_17_19_09372,X0)
| X0 = sk0_0(i2003_11_14_17_19_09372) ),
inference(resolution,[status(thm)],[f90,f81]) ).
fof(f132,plain,
sk0_1(i2003_11_14_17_19_09372) = sk0_0(i2003_11_14_17_19_09372),
inference(resolution,[status(thm)],[f131,f116]) ).
fof(f167,plain,
( ~ pd0_0(i2003_11_14_17_19_09372,sk0_0(i2003_11_14_17_19_09372))
| spl0_6 ),
inference(forward_demodulation,[status(thm)],[f132,f128]) ).
fof(f168,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_09372)
| spl0_6 ),
inference(resolution,[status(thm)],[f167,f70]) ).
fof(f169,plain,
( ~ spl0_0
| spl0_6 ),
inference(split_clause,[status(thm)],[f168,f97,f126]) ).
fof(f175,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_09372)
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f107,f71]) ).
fof(f176,plain,
( ~ spl0_0
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f175,f97,f106]) ).
fof(f177,plain,
$false,
inference(sat_refutation,[status(thm)],[f124,f130,f169,f176]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : KRS077+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.30 % Computer : n012.cluster.edu
% 0.08/0.30 % Model : x86_64 x86_64
% 0.08/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.30 % Memory : 8042.1875MB
% 0.08/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.30 % CPULimit : 300
% 0.08/0.30 % WCLimit : 300
% 0.08/0.30 % DateTime : Mon Apr 29 23:17:41 EDT 2024
% 0.08/0.30 % CPUTime :
% 0.14/0.30 % Drodi V3.6.0
% 0.14/0.31 % Refutation found
% 0.14/0.31 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.31 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.31 % Elapsed time: 0.010867 seconds
% 0.14/0.31 % CPU time: 0.019197 seconds
% 0.14/0.31 % Total memory used: 716.064 KB
% 0.14/0.31 % Net memory used: 692.064 KB
%------------------------------------------------------------------------------