TSTP Solution File: KRS076+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : KRS076+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n020.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 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 10
% Syntax : Number of formulae : 56 ( 9 unt; 0 def)
% Number of atoms : 172 ( 12 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 189 ( 73 ~; 70 |; 35 &)
% ( 6 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 4 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 89 ( 75 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f21,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( rf(X,Y)
& cp(Y) )
& ? [Y] :
( rf1(X,Y)
& ~ cp(Y)
& ! [Z] :
( rinvF1(Y,Z)
=> ? [W] :
( rs(Z,W)
& cowlThing(W) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [X,Y,Z] :
( ( rf(X,Y)
& rf(X,Z) )
=> Y = Z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
! [X,Y,Z] :
( ( rf1(X,Y)
& rf1(X,Z) )
=> Y = Z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,axiom,
! [X,Y] :
( rinvF1(X,Y)
<=> rf1(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
cUnsatisfiable(i2003_11_14_17_19_06193),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,axiom,
! [X,Y] :
( rs(X,Y)
=> rf1(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,axiom,
! [X,Y] :
( rs(X,Y)
=> rf(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f92,plain,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( rf(X,Y)
& cp(Y) )
& ? [Y] :
( rf1(X,Y)
& ~ cp(Y)
& ! [Z] :
( ~ rinvF1(Y,Z)
| ? [W] :
( rs(Z,W)
& cowlThing(W) ) ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f21]) ).
fof(f93,plain,
! [X] :
( ( ~ cUnsatisfiable(X)
| ( ? [Y] :
( rf(X,Y)
& cp(Y) )
& ? [Y] :
( rf1(X,Y)
& ~ cp(Y)
& ! [Z] :
( ~ rinvF1(Y,Z)
| ? [W] :
( rs(Z,W)
& cowlThing(W) ) ) ) ) )
& ( cUnsatisfiable(X)
| ! [Y] :
( ~ rf(X,Y)
| ~ cp(Y) )
| ! [Y] :
( ~ rf1(X,Y)
| cp(Y)
| ? [Z] :
( rinvF1(Y,Z)
& ! [W] :
( ~ rs(Z,W)
| ~ cowlThing(W) ) ) ) ) ),
inference(NNF_transformation,[status(esa)],[f92]) ).
fof(f94,plain,
( ! [X] :
( ~ cUnsatisfiable(X)
| ( ? [Y] :
( rf(X,Y)
& cp(Y) )
& ? [Y] :
( rf1(X,Y)
& ~ cp(Y)
& ! [Z] :
( ~ rinvF1(Y,Z)
| ? [W] :
( rs(Z,W)
& cowlThing(W) ) ) ) ) )
& ! [X] :
( cUnsatisfiable(X)
| ! [Y] :
( ~ rf(X,Y)
| ~ cp(Y) )
| ! [Y] :
( ~ rf1(X,Y)
| cp(Y)
| ? [Z] :
( rinvF1(Y,Z)
& ! [W] :
( ~ rs(Z,W)
| ~ cowlThing(W) ) ) ) ) ),
inference(miniscoping,[status(esa)],[f93]) ).
fof(f95,plain,
( ! [X] :
( ~ cUnsatisfiable(X)
| ( rf(X,sk0_0(X))
& cp(sk0_0(X))
& rf1(X,sk0_1(X))
& ~ cp(sk0_1(X))
& ! [Z] :
( ~ rinvF1(sk0_1(X),Z)
| ( rs(Z,sk0_2(Z,X))
& cowlThing(sk0_2(Z,X)) ) ) ) )
& ! [X] :
( cUnsatisfiable(X)
| ! [Y] :
( ~ rf(X,Y)
| ~ cp(Y) )
| ! [Y] :
( ~ rf1(X,Y)
| cp(Y)
| ( rinvF1(Y,sk0_3(Y,X))
& ! [W] :
( ~ rs(sk0_3(Y,X),W)
| ~ cowlThing(W) ) ) ) ) ),
inference(skolemization,[status(esa)],[f94]) ).
fof(f96,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rf(X0,sk0_0(X0)) ),
inference(cnf_transformation,[status(esa)],[f95]) ).
fof(f97,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cp(sk0_0(X0)) ),
inference(cnf_transformation,[status(esa)],[f95]) ).
fof(f98,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rf1(X0,sk0_1(X0)) ),
inference(cnf_transformation,[status(esa)],[f95]) ).
fof(f99,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| ~ cp(sk0_1(X0)) ),
inference(cnf_transformation,[status(esa)],[f95]) ).
fof(f100,plain,
! [X0,X1] :
( ~ cUnsatisfiable(X0)
| ~ rinvF1(sk0_1(X0),X1)
| rs(X1,sk0_2(X1,X0)) ),
inference(cnf_transformation,[status(esa)],[f95]) ).
fof(f104,plain,
! [X,Y,Z] :
( ~ rf(X,Y)
| ~ rf(X,Z)
| Y = Z ),
inference(pre_NNF_transformation,[status(esa)],[f22]) ).
fof(f105,plain,
! [Y,Z] :
( ! [X] :
( ~ rf(X,Y)
| ~ rf(X,Z) )
| Y = Z ),
inference(miniscoping,[status(esa)],[f104]) ).
fof(f106,plain,
! [X0,X1,X2] :
( ~ rf(X0,X1)
| ~ rf(X0,X2)
| X1 = X2 ),
inference(cnf_transformation,[status(esa)],[f105]) ).
fof(f107,plain,
! [X,Y,Z] :
( ~ rf1(X,Y)
| ~ rf1(X,Z)
| Y = Z ),
inference(pre_NNF_transformation,[status(esa)],[f23]) ).
fof(f108,plain,
! [Y,Z] :
( ! [X] :
( ~ rf1(X,Y)
| ~ rf1(X,Z) )
| Y = Z ),
inference(miniscoping,[status(esa)],[f107]) ).
fof(f109,plain,
! [X0,X1,X2] :
( ~ rf1(X0,X1)
| ~ rf1(X0,X2)
| X1 = X2 ),
inference(cnf_transformation,[status(esa)],[f108]) ).
fof(f114,plain,
! [X,Y] :
( ( ~ rinvF1(X,Y)
| rf1(Y,X) )
& ( rinvF1(X,Y)
| ~ rf1(Y,X) ) ),
inference(NNF_transformation,[status(esa)],[f25]) ).
fof(f115,plain,
( ! [X,Y] :
( ~ rinvF1(X,Y)
| rf1(Y,X) )
& ! [X,Y] :
( rinvF1(X,Y)
| ~ rf1(Y,X) ) ),
inference(miniscoping,[status(esa)],[f114]) ).
fof(f117,plain,
! [X0,X1] :
( rinvF1(X0,X1)
| ~ rf1(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f115]) ).
fof(f125,plain,
cUnsatisfiable(i2003_11_14_17_19_06193),
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f126,plain,
! [X,Y] :
( ~ rs(X,Y)
| rf1(X,Y) ),
inference(pre_NNF_transformation,[status(esa)],[f29]) ).
fof(f127,plain,
! [X0,X1] :
( ~ rs(X0,X1)
| rf1(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f126]) ).
fof(f128,plain,
! [X,Y] :
( ~ rs(X,Y)
| rf(X,Y) ),
inference(pre_NNF_transformation,[status(esa)],[f30]) ).
fof(f129,plain,
! [X0,X1] :
( ~ rs(X0,X1)
| rf(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f128]) ).
fof(f130,plain,
cp(sk0_0(i2003_11_14_17_19_06193)),
inference(resolution,[status(thm)],[f97,f125]) ).
fof(f131,plain,
rf(i2003_11_14_17_19_06193,sk0_0(i2003_11_14_17_19_06193)),
inference(resolution,[status(thm)],[f96,f125]) ).
fof(f133,plain,
rf1(i2003_11_14_17_19_06193,sk0_1(i2003_11_14_17_19_06193)),
inference(resolution,[status(thm)],[f98,f125]) ).
fof(f135,plain,
( spl0_0
<=> cUnsatisfiable(i2003_11_14_17_19_06193) ),
introduced(split_symbol_definition) ).
fof(f137,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_06193)
| spl0_0 ),
inference(component_clause,[status(thm)],[f135]) ).
fof(f138,plain,
( spl0_1
<=> cp(sk0_0(i2003_11_14_17_19_06193)) ),
introduced(split_symbol_definition) ).
fof(f140,plain,
( ~ cp(sk0_0(i2003_11_14_17_19_06193))
| spl0_1 ),
inference(component_clause,[status(thm)],[f138]) ).
fof(f151,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f140,f130]) ).
fof(f152,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f151]) ).
fof(f153,plain,
rinvF1(sk0_1(i2003_11_14_17_19_06193),i2003_11_14_17_19_06193),
inference(resolution,[status(thm)],[f133,f117]) ).
fof(f156,plain,
! [X0] :
( ~ rf(i2003_11_14_17_19_06193,X0)
| sk0_0(i2003_11_14_17_19_06193) = X0 ),
inference(resolution,[status(thm)],[f106,f131]) ).
fof(f157,plain,
! [X0] :
( ~ rf1(i2003_11_14_17_19_06193,X0)
| sk0_1(i2003_11_14_17_19_06193) = X0 ),
inference(resolution,[status(thm)],[f109,f133]) ).
fof(f158,plain,
( spl0_4
<=> rs(i2003_11_14_17_19_06193,sk0_2(i2003_11_14_17_19_06193,i2003_11_14_17_19_06193)) ),
introduced(split_symbol_definition) ).
fof(f159,plain,
( rs(i2003_11_14_17_19_06193,sk0_2(i2003_11_14_17_19_06193,i2003_11_14_17_19_06193))
| ~ spl0_4 ),
inference(component_clause,[status(thm)],[f158]) ).
fof(f161,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_06193)
| rs(i2003_11_14_17_19_06193,sk0_2(i2003_11_14_17_19_06193,i2003_11_14_17_19_06193)) ),
inference(resolution,[status(thm)],[f100,f153]) ).
fof(f162,plain,
( ~ spl0_0
| spl0_4 ),
inference(split_clause,[status(thm)],[f161,f135,f158]) ).
fof(f164,plain,
( rf(i2003_11_14_17_19_06193,sk0_2(i2003_11_14_17_19_06193,i2003_11_14_17_19_06193))
| ~ spl0_4 ),
inference(resolution,[status(thm)],[f159,f129]) ).
fof(f165,plain,
( rf1(i2003_11_14_17_19_06193,sk0_2(i2003_11_14_17_19_06193,i2003_11_14_17_19_06193))
| ~ spl0_4 ),
inference(resolution,[status(thm)],[f159,f127]) ).
fof(f167,plain,
( sk0_0(i2003_11_14_17_19_06193) = sk0_2(i2003_11_14_17_19_06193,i2003_11_14_17_19_06193)
| ~ spl0_4 ),
inference(resolution,[status(thm)],[f164,f156]) ).
fof(f182,plain,
( rf1(i2003_11_14_17_19_06193,sk0_0(i2003_11_14_17_19_06193))
| ~ spl0_4 ),
inference(backward_demodulation,[status(thm)],[f167,f165]) ).
fof(f187,plain,
( sk0_1(i2003_11_14_17_19_06193) = sk0_0(i2003_11_14_17_19_06193)
| ~ spl0_4 ),
inference(resolution,[status(thm)],[f182,f157]) ).
fof(f202,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_06193)
| ~ cp(sk0_0(i2003_11_14_17_19_06193))
| ~ spl0_4 ),
inference(paramodulation,[status(thm)],[f187,f99]) ).
fof(f203,plain,
( ~ spl0_0
| ~ spl0_1
| ~ spl0_4 ),
inference(split_clause,[status(thm)],[f202,f135,f138,f158]) ).
fof(f204,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f137,f125]) ).
fof(f205,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f204]) ).
fof(f206,plain,
$false,
inference(sat_refutation,[status(thm)],[f152,f162,f203,f205]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : KRS076+1 : TPTP v8.1.2. Released v3.1.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Apr 29 23:22:32 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 0.13/0.36 % Refutation found
% 0.13/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.37 % Elapsed time: 0.014312 seconds
% 0.20/0.37 % CPU time: 0.031026 seconds
% 0.20/0.37 % Total memory used: 965.472 KB
% 0.20/0.37 % Net memory used: 929.120 KB
%------------------------------------------------------------------------------