TSTP Solution File: KRS115+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : KRS115+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n017.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 20:24:48 EDT 2024
% Result : Unsatisfiable 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of formulae : 67 ( 15 unt; 0 def)
% Number of atoms : 188 ( 14 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 205 ( 84 ~; 75 |; 33 &)
% ( 6 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 110 ( 95 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f17,axiom,
! [X] :
( cowlThing(X)
& ~ cowlNothing(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( rf2(X,Y)
& cp2(Y) )
& ? [Y] :
( rf1(X,Y)
& cp1(Y) )
& ? [Y] :
( rr(X,Y)
& cowlThing(Y) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [X] :
( cp1(X)
=> cp2xcomp(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [X] :
( cp2(X)
<=> ~ ? [Y] : ra_Px1(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [X] :
( cp2xcomp(X)
<=> ? [Y0] : ra_Px1(X,Y0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,axiom,
! [X] :
( cowlThing(X)
=> ! [Y0,Y1] :
( ( rf1(X,Y0)
& rf1(X,Y1) )
=> Y0 = Y1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
! [X] :
( cowlThing(X)
=> ! [Y0,Y1] :
( ( rf2(X,Y0)
& rf2(X,Y1) )
=> Y0 = Y1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,axiom,
cUnsatisfiable(i2003_11_14_17_21_30578),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,axiom,
! [X,Y] :
( rr(X,Y)
=> rf2(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,axiom,
! [X,Y] :
( rr(X,Y)
=> rf1(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f76,plain,
( ! [X] : cowlThing(X)
& ! [X] : ~ cowlNothing(X) ),
inference(miniscoping,[status(esa)],[f17]) ).
fof(f77,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[status(esa)],[f76]) ).
fof(f83,plain,
! [X] :
( ( ~ cUnsatisfiable(X)
| ( ? [Y] :
( rf2(X,Y)
& cp2(Y) )
& ? [Y] :
( rf1(X,Y)
& cp1(Y) )
& ? [Y] :
( rr(X,Y)
& cowlThing(Y) ) ) )
& ( cUnsatisfiable(X)
| ! [Y] :
( ~ rf2(X,Y)
| ~ cp2(Y) )
| ! [Y] :
( ~ rf1(X,Y)
| ~ cp1(Y) )
| ! [Y] :
( ~ rr(X,Y)
| ~ cowlThing(Y) ) ) ),
inference(NNF_transformation,[status(esa)],[f19]) ).
fof(f84,plain,
( ! [X] :
( ~ cUnsatisfiable(X)
| ( ? [Y] :
( rf2(X,Y)
& cp2(Y) )
& ? [Y] :
( rf1(X,Y)
& cp1(Y) )
& ? [Y] :
( rr(X,Y)
& cowlThing(Y) ) ) )
& ! [X] :
( cUnsatisfiable(X)
| ! [Y] :
( ~ rf2(X,Y)
| ~ cp2(Y) )
| ! [Y] :
( ~ rf1(X,Y)
| ~ cp1(Y) )
| ! [Y] :
( ~ rr(X,Y)
| ~ cowlThing(Y) ) ) ),
inference(miniscoping,[status(esa)],[f83]) ).
fof(f85,plain,
( ! [X] :
( ~ cUnsatisfiable(X)
| ( rf2(X,sk0_0(X))
& cp2(sk0_0(X))
& rf1(X,sk0_1(X))
& cp1(sk0_1(X))
& rr(X,sk0_2(X))
& cowlThing(sk0_2(X)) ) )
& ! [X] :
( cUnsatisfiable(X)
| ! [Y] :
( ~ rf2(X,Y)
| ~ cp2(Y) )
| ! [Y] :
( ~ rf1(X,Y)
| ~ cp1(Y) )
| ! [Y] :
( ~ rr(X,Y)
| ~ cowlThing(Y) ) ) ),
inference(skolemization,[status(esa)],[f84]) ).
fof(f86,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rf2(X0,sk0_0(X0)) ),
inference(cnf_transformation,[status(esa)],[f85]) ).
fof(f87,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cp2(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)
| rr(X0,sk0_2(X0)) ),
inference(cnf_transformation,[status(esa)],[f85]) ).
fof(f93,plain,
! [X] :
( ~ cp1(X)
| cp2xcomp(X) ),
inference(pre_NNF_transformation,[status(esa)],[f20]) ).
fof(f94,plain,
! [X0] :
( ~ cp1(X0)
| cp2xcomp(X0) ),
inference(cnf_transformation,[status(esa)],[f93]) ).
fof(f95,plain,
! [X] :
( cp2(X)
<=> ! [Y] : ~ ra_Px1(X,Y) ),
inference(pre_NNF_transformation,[status(esa)],[f21]) ).
fof(f96,plain,
! [X] :
( ( ~ cp2(X)
| ! [Y] : ~ ra_Px1(X,Y) )
& ( cp2(X)
| ? [Y] : ra_Px1(X,Y) ) ),
inference(NNF_transformation,[status(esa)],[f95]) ).
fof(f97,plain,
( ! [X] :
( ~ cp2(X)
| ! [Y] : ~ ra_Px1(X,Y) )
& ! [X] :
( cp2(X)
| ? [Y] : ra_Px1(X,Y) ) ),
inference(miniscoping,[status(esa)],[f96]) ).
fof(f98,plain,
( ! [X] :
( ~ cp2(X)
| ! [Y] : ~ ra_Px1(X,Y) )
& ! [X] :
( cp2(X)
| ra_Px1(X,sk0_3(X)) ) ),
inference(skolemization,[status(esa)],[f97]) ).
fof(f99,plain,
! [X0,X1] :
( ~ cp2(X0)
| ~ ra_Px1(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f98]) ).
fof(f101,plain,
! [X] :
( ( ~ cp2xcomp(X)
| ? [Y0] : ra_Px1(X,Y0) )
& ( cp2xcomp(X)
| ! [Y0] : ~ ra_Px1(X,Y0) ) ),
inference(NNF_transformation,[status(esa)],[f22]) ).
fof(f102,plain,
( ! [X] :
( ~ cp2xcomp(X)
| ? [Y0] : ra_Px1(X,Y0) )
& ! [X] :
( cp2xcomp(X)
| ! [Y0] : ~ ra_Px1(X,Y0) ) ),
inference(miniscoping,[status(esa)],[f101]) ).
fof(f103,plain,
( ! [X] :
( ~ cp2xcomp(X)
| ra_Px1(X,sk0_4(X)) )
& ! [X] :
( cp2xcomp(X)
| ! [Y0] : ~ ra_Px1(X,Y0) ) ),
inference(skolemization,[status(esa)],[f102]) ).
fof(f104,plain,
! [X0] :
( ~ cp2xcomp(X0)
| ra_Px1(X0,sk0_4(X0)) ),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f106,plain,
! [X] :
( ~ cowlThing(X)
| ! [Y0,Y1] :
( ~ rf1(X,Y0)
| ~ rf1(X,Y1)
| Y0 = Y1 ) ),
inference(pre_NNF_transformation,[status(esa)],[f23]) ).
fof(f107,plain,
! [X0,X1,X2] :
( ~ cowlThing(X0)
| ~ rf1(X0,X1)
| ~ rf1(X0,X2)
| X1 = X2 ),
inference(cnf_transformation,[status(esa)],[f106]) ).
fof(f108,plain,
! [X] :
( ~ cowlThing(X)
| ! [Y0,Y1] :
( ~ rf2(X,Y0)
| ~ rf2(X,Y1)
| Y0 = Y1 ) ),
inference(pre_NNF_transformation,[status(esa)],[f24]) ).
fof(f109,plain,
! [X0,X1,X2] :
( ~ cowlThing(X0)
| ~ rf2(X0,X1)
| ~ rf2(X0,X2)
| X1 = X2 ),
inference(cnf_transformation,[status(esa)],[f108]) ).
fof(f110,plain,
cUnsatisfiable(i2003_11_14_17_21_30578),
inference(cnf_transformation,[status(esa)],[f25]) ).
fof(f111,plain,
! [X,Y] :
( ~ rr(X,Y)
| rf2(X,Y) ),
inference(pre_NNF_transformation,[status(esa)],[f26]) ).
fof(f112,plain,
! [X0,X1] :
( ~ rr(X0,X1)
| rf2(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f111]) ).
fof(f113,plain,
! [X,Y] :
( ~ rr(X,Y)
| rf1(X,Y) ),
inference(pre_NNF_transformation,[status(esa)],[f27]) ).
fof(f114,plain,
! [X0,X1] :
( ~ rr(X0,X1)
| rf1(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f113]) ).
fof(f116,plain,
! [X0,X1] :
( ~ cUnsatisfiable(X0)
| ~ ra_Px1(sk0_0(X0),X1) ),
inference(resolution,[status(thm)],[f87,f99]) ).
fof(f117,plain,
rr(i2003_11_14_17_21_30578,sk0_2(i2003_11_14_17_21_30578)),
inference(resolution,[status(thm)],[f90,f110]) ).
fof(f118,plain,
rf1(i2003_11_14_17_21_30578,sk0_2(i2003_11_14_17_21_30578)),
inference(resolution,[status(thm)],[f117,f114]) ).
fof(f119,plain,
rf2(i2003_11_14_17_21_30578,sk0_2(i2003_11_14_17_21_30578)),
inference(resolution,[status(thm)],[f117,f112]) ).
fof(f120,plain,
! [X0] : ~ ra_Px1(sk0_0(i2003_11_14_17_21_30578),X0),
inference(resolution,[status(thm)],[f116,f110]) ).
fof(f121,plain,
~ cp2xcomp(sk0_0(i2003_11_14_17_21_30578)),
inference(resolution,[status(thm)],[f120,f104]) ).
fof(f124,plain,
~ cp1(sk0_0(i2003_11_14_17_21_30578)),
inference(resolution,[status(thm)],[f121,f94]) ).
fof(f126,plain,
! [X0,X1,X2] :
( ~ rf1(X0,X1)
| ~ rf1(X0,X2)
| X1 = X2 ),
inference(forward_subsumption_resolution,[status(thm)],[f107,f77]) ).
fof(f128,plain,
! [X0,X1] :
( ~ rf1(X0,X1)
| X1 = sk0_1(X0)
| ~ cUnsatisfiable(X0) ),
inference(resolution,[status(thm)],[f126,f88]) ).
fof(f132,plain,
( spl0_1
<=> cUnsatisfiable(i2003_11_14_17_21_30578) ),
introduced(split_symbol_definition) ).
fof(f134,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_30578)
| spl0_1 ),
inference(component_clause,[status(thm)],[f132]) ).
fof(f137,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f134,f110]) ).
fof(f138,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f137]) ).
fof(f139,plain,
! [X0] :
( ~ rf1(i2003_11_14_17_21_30578,X0)
| X0 = sk0_1(i2003_11_14_17_21_30578) ),
inference(resolution,[status(thm)],[f128,f110]) ).
fof(f140,plain,
sk0_2(i2003_11_14_17_21_30578) = sk0_1(i2003_11_14_17_21_30578),
inference(resolution,[status(thm)],[f139,f118]) ).
fof(f148,plain,
! [X0,X1,X2] :
( ~ rf2(X0,X1)
| ~ rf2(X0,X2)
| X1 = X2 ),
inference(forward_subsumption_resolution,[status(thm)],[f109,f77]) ).
fof(f150,plain,
! [X0,X1] :
( ~ rf2(X0,X1)
| X1 = sk0_0(X0)
| ~ cUnsatisfiable(X0) ),
inference(resolution,[status(thm)],[f148,f86]) ).
fof(f152,plain,
! [X0] :
( ~ rf2(i2003_11_14_17_21_30578,X0)
| X0 = sk0_0(i2003_11_14_17_21_30578) ),
inference(resolution,[status(thm)],[f150,f110]) ).
fof(f154,plain,
rf2(i2003_11_14_17_21_30578,sk0_1(i2003_11_14_17_21_30578)),
inference(backward_demodulation,[status(thm)],[f140,f119]) ).
fof(f167,plain,
sk0_1(i2003_11_14_17_21_30578) = sk0_0(i2003_11_14_17_21_30578),
inference(resolution,[status(thm)],[f152,f154]) ).
fof(f184,plain,
( spl0_6
<=> cp1(sk0_0(i2003_11_14_17_21_30578)) ),
introduced(split_symbol_definition) ).
fof(f185,plain,
( cp1(sk0_0(i2003_11_14_17_21_30578))
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f184]) ).
fof(f187,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_30578)
| cp1(sk0_0(i2003_11_14_17_21_30578)) ),
inference(paramodulation,[status(thm)],[f167,f89]) ).
fof(f188,plain,
( ~ spl0_1
| spl0_6 ),
inference(split_clause,[status(thm)],[f187,f132,f184]) ).
fof(f189,plain,
( $false
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f185,f124]) ).
fof(f190,plain,
~ spl0_6,
inference(contradiction_clause,[status(thm)],[f189]) ).
fof(f191,plain,
$false,
inference(sat_refutation,[status(thm)],[f138,f188,f190]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : KRS115+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n017.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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Apr 29 22:57:33 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 0.13/0.35 % Refutation found
% 0.13/0.35 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.35 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.37 % Elapsed time: 0.013145 seconds
% 0.13/0.37 % CPU time: 0.026821 seconds
% 0.13/0.37 % Total memory used: 778.944 KB
% 0.13/0.37 % Net memory used: 709.568 KB
%------------------------------------------------------------------------------