TSTP Solution File: KRS106+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : KRS106+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n006.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 20:24:47 EDT 2024
% Result : Unsatisfiable 0.14s 0.35s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 52 ( 16 unt; 0 def)
% Number of atoms : 149 ( 12 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 160 ( 63 ~; 58 |; 31 &)
% ( 4 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 96 ( 81 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f19,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( rf3(X,Y)
& cp2(Y) )
& ? [Y] :
( rf1(X,Y)
& cp1(Y) )
& ? [Y] :
( rf2(X,Y)
& cp1xcomp(Y) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [X] :
( cp1(X)
<=> ~ ? [Y] : ra_Px1(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [X] :
( cp1xcomp(X)
<=> ? [Y0] : ra_Px1(X,Y0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [X,Y,Z] :
( ( rf1(X,Y)
& rf1(X,Z) )
=> Y = Z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
! [X,Y,Z] :
( ( rf2(X,Y)
& rf2(X,Z) )
=> Y = Z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,axiom,
cUnsatisfiable(i2003_11_14_17_20_57644),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,axiom,
! [X,Y] :
( rf3(X,Y)
=> rf1(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,axiom,
! [X,Y] :
( rf3(X,Y)
=> rf2(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f83,plain,
! [X] :
( ( ~ cUnsatisfiable(X)
| ( ? [Y] :
( rf3(X,Y)
& cp2(Y) )
& ? [Y] :
( rf1(X,Y)
& cp1(Y) )
& ? [Y] :
( rf2(X,Y)
& cp1xcomp(Y) ) ) )
& ( cUnsatisfiable(X)
| ! [Y] :
( ~ rf3(X,Y)
| ~ cp2(Y) )
| ! [Y] :
( ~ rf1(X,Y)
| ~ cp1(Y) )
| ! [Y] :
( ~ rf2(X,Y)
| ~ cp1xcomp(Y) ) ) ),
inference(NNF_transformation,[status(esa)],[f19]) ).
fof(f84,plain,
( ! [X] :
( ~ cUnsatisfiable(X)
| ( ? [Y] :
( rf3(X,Y)
& cp2(Y) )
& ? [Y] :
( rf1(X,Y)
& cp1(Y) )
& ? [Y] :
( rf2(X,Y)
& cp1xcomp(Y) ) ) )
& ! [X] :
( cUnsatisfiable(X)
| ! [Y] :
( ~ rf3(X,Y)
| ~ cp2(Y) )
| ! [Y] :
( ~ rf1(X,Y)
| ~ cp1(Y) )
| ! [Y] :
( ~ rf2(X,Y)
| ~ cp1xcomp(Y) ) ) ),
inference(miniscoping,[status(esa)],[f83]) ).
fof(f85,plain,
( ! [X] :
( ~ cUnsatisfiable(X)
| ( rf3(X,sk0_0(X))
& cp2(sk0_0(X))
& rf1(X,sk0_1(X))
& cp1(sk0_1(X))
& rf2(X,sk0_2(X))
& cp1xcomp(sk0_2(X)) ) )
& ! [X] :
( cUnsatisfiable(X)
| ! [Y] :
( ~ rf3(X,Y)
| ~ cp2(Y) )
| ! [Y] :
( ~ rf1(X,Y)
| ~ cp1(Y) )
| ! [Y] :
( ~ rf2(X,Y)
| ~ cp1xcomp(Y) ) ) ),
inference(skolemization,[status(esa)],[f84]) ).
fof(f86,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rf3(X0,sk0_0(X0)) ),
inference(cnf_transformation,[status(esa)],[f85]) ).
fof(f88,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rf1(X0,sk0_1(X0)) ),
inference(cnf_transformation,[status(esa)],[f85]) ).
fof(f89,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cp1(sk0_1(X0)) ),
inference(cnf_transformation,[status(esa)],[f85]) ).
fof(f90,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rf2(X0,sk0_2(X0)) ),
inference(cnf_transformation,[status(esa)],[f85]) ).
fof(f91,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cp1xcomp(sk0_2(X0)) ),
inference(cnf_transformation,[status(esa)],[f85]) ).
fof(f93,plain,
! [X] :
( cp1(X)
<=> ! [Y] : ~ ra_Px1(X,Y) ),
inference(pre_NNF_transformation,[status(esa)],[f20]) ).
fof(f94,plain,
! [X] :
( ( ~ cp1(X)
| ! [Y] : ~ ra_Px1(X,Y) )
& ( cp1(X)
| ? [Y] : ra_Px1(X,Y) ) ),
inference(NNF_transformation,[status(esa)],[f93]) ).
fof(f95,plain,
( ! [X] :
( ~ cp1(X)
| ! [Y] : ~ ra_Px1(X,Y) )
& ! [X] :
( cp1(X)
| ? [Y] : ra_Px1(X,Y) ) ),
inference(miniscoping,[status(esa)],[f94]) ).
fof(f96,plain,
( ! [X] :
( ~ cp1(X)
| ! [Y] : ~ ra_Px1(X,Y) )
& ! [X] :
( cp1(X)
| ra_Px1(X,sk0_3(X)) ) ),
inference(skolemization,[status(esa)],[f95]) ).
fof(f97,plain,
! [X0,X1] :
( ~ cp1(X0)
| ~ ra_Px1(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f96]) ).
fof(f99,plain,
! [X] :
( ( ~ cp1xcomp(X)
| ? [Y0] : ra_Px1(X,Y0) )
& ( cp1xcomp(X)
| ! [Y0] : ~ ra_Px1(X,Y0) ) ),
inference(NNF_transformation,[status(esa)],[f21]) ).
fof(f100,plain,
( ! [X] :
( ~ cp1xcomp(X)
| ? [Y0] : ra_Px1(X,Y0) )
& ! [X] :
( cp1xcomp(X)
| ! [Y0] : ~ ra_Px1(X,Y0) ) ),
inference(miniscoping,[status(esa)],[f99]) ).
fof(f101,plain,
( ! [X] :
( ~ cp1xcomp(X)
| ra_Px1(X,sk0_4(X)) )
& ! [X] :
( cp1xcomp(X)
| ! [Y0] : ~ ra_Px1(X,Y0) ) ),
inference(skolemization,[status(esa)],[f100]) ).
fof(f102,plain,
! [X0] :
( ~ cp1xcomp(X0)
| ra_Px1(X0,sk0_4(X0)) ),
inference(cnf_transformation,[status(esa)],[f101]) ).
fof(f104,plain,
! [X,Y,Z] :
( ~ rf1(X,Y)
| ~ rf1(X,Z)
| Y = Z ),
inference(pre_NNF_transformation,[status(esa)],[f22]) ).
fof(f105,plain,
! [Y,Z] :
( ! [X] :
( ~ rf1(X,Y)
| ~ rf1(X,Z) )
| Y = Z ),
inference(miniscoping,[status(esa)],[f104]) ).
fof(f106,plain,
! [X0,X1,X2] :
( ~ rf1(X0,X1)
| ~ rf1(X0,X2)
| X1 = X2 ),
inference(cnf_transformation,[status(esa)],[f105]) ).
fof(f107,plain,
! [X,Y,Z] :
( ~ rf2(X,Y)
| ~ rf2(X,Z)
| Y = Z ),
inference(pre_NNF_transformation,[status(esa)],[f23]) ).
fof(f108,plain,
! [Y,Z] :
( ! [X] :
( ~ rf2(X,Y)
| ~ rf2(X,Z) )
| Y = Z ),
inference(miniscoping,[status(esa)],[f107]) ).
fof(f109,plain,
! [X0,X1,X2] :
( ~ rf2(X0,X1)
| ~ rf2(X0,X2)
| X1 = X2 ),
inference(cnf_transformation,[status(esa)],[f108]) ).
fof(f113,plain,
cUnsatisfiable(i2003_11_14_17_20_57644),
inference(cnf_transformation,[status(esa)],[f25]) ).
fof(f114,plain,
! [X,Y] :
( ~ rf3(X,Y)
| rf1(X,Y) ),
inference(pre_NNF_transformation,[status(esa)],[f26]) ).
fof(f115,plain,
! [X0,X1] :
( ~ rf3(X0,X1)
| rf1(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f114]) ).
fof(f116,plain,
! [X,Y] :
( ~ rf3(X,Y)
| rf2(X,Y) ),
inference(pre_NNF_transformation,[status(esa)],[f27]) ).
fof(f117,plain,
! [X0,X1] :
( ~ rf3(X0,X1)
| rf2(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f116]) ).
fof(f118,plain,
rf3(i2003_11_14_17_20_57644,sk0_0(i2003_11_14_17_20_57644)),
inference(resolution,[status(thm)],[f86,f113]) ).
fof(f121,plain,
rf1(i2003_11_14_17_20_57644,sk0_1(i2003_11_14_17_20_57644)),
inference(resolution,[status(thm)],[f88,f113]) ).
fof(f122,plain,
cp1(sk0_1(i2003_11_14_17_20_57644)),
inference(resolution,[status(thm)],[f89,f113]) ).
fof(f123,plain,
cp1xcomp(sk0_2(i2003_11_14_17_20_57644)),
inference(resolution,[status(thm)],[f91,f113]) ).
fof(f124,plain,
rf2(i2003_11_14_17_20_57644,sk0_0(i2003_11_14_17_20_57644)),
inference(resolution,[status(thm)],[f118,f117]) ).
fof(f125,plain,
rf1(i2003_11_14_17_20_57644,sk0_0(i2003_11_14_17_20_57644)),
inference(resolution,[status(thm)],[f118,f115]) ).
fof(f126,plain,
rf2(i2003_11_14_17_20_57644,sk0_2(i2003_11_14_17_20_57644)),
inference(resolution,[status(thm)],[f90,f113]) ).
fof(f127,plain,
ra_Px1(sk0_2(i2003_11_14_17_20_57644),sk0_4(sk0_2(i2003_11_14_17_20_57644))),
inference(resolution,[status(thm)],[f102,f123]) ).
fof(f130,plain,
! [X0] :
( ~ rf1(i2003_11_14_17_20_57644,X0)
| sk0_0(i2003_11_14_17_20_57644) = X0 ),
inference(resolution,[status(thm)],[f106,f125]) ).
fof(f132,plain,
! [X0] :
( ~ rf2(i2003_11_14_17_20_57644,X0)
| sk0_2(i2003_11_14_17_20_57644) = X0 ),
inference(resolution,[status(thm)],[f109,f126]) ).
fof(f135,plain,
sk0_0(i2003_11_14_17_20_57644) = sk0_1(i2003_11_14_17_20_57644),
inference(resolution,[status(thm)],[f130,f121]) ).
fof(f137,plain,
cp1(sk0_0(i2003_11_14_17_20_57644)),
inference(backward_demodulation,[status(thm)],[f135,f122]) ).
fof(f155,plain,
~ cp1(sk0_2(i2003_11_14_17_20_57644)),
inference(resolution,[status(thm)],[f127,f97]) ).
fof(f157,plain,
sk0_2(i2003_11_14_17_20_57644) = sk0_0(i2003_11_14_17_20_57644),
inference(resolution,[status(thm)],[f132,f124]) ).
fof(f159,plain,
~ cp1(sk0_0(i2003_11_14_17_20_57644)),
inference(backward_demodulation,[status(thm)],[f157,f155]) ).
fof(f160,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f159,f137]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : KRS106+1 : TPTP v8.1.2. Released v3.1.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n006.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Apr 29 23:20:20 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Drodi V3.6.0
% 0.14/0.35 % Refutation found
% 0.14/0.35 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.35 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.37 % Elapsed time: 0.012796 seconds
% 0.14/0.37 % CPU time: 0.027746 seconds
% 0.14/0.37 % Total memory used: 798.192 KB
% 0.14/0.37 % Net memory used: 726.816 KB
%------------------------------------------------------------------------------