TSTP Solution File: KRS120+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : KRS120+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 20:24:49 EDT 2024
% Result : Unsatisfiable 0.10s 0.27s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of formulae : 55 ( 15 unt; 0 def)
% Number of atoms : 164 ( 6 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 179 ( 70 ~; 64 |; 36 &)
% ( 7 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 98 ( 83 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f20,axiom,
! [X] :
( cowlThing(X)
& ~ cowlNothing(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ? [Y] :
( rf(X,Y)
& ca_Ax2(Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,axiom,
! [X] :
( cp1(X)
<=> ~ ? [Y] : ra_Px1(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
! [X] :
( cp1xcomp(X)
<=> ? [Y0] : ra_Px1(X,Y0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,axiom,
! [X] :
( ca_Ax2(X)
<=> ( ? [Y] :
( rinvF(X,Y)
& ca_Vx3(Y) )
& cp1(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,axiom,
! [X] :
( ca_Vx3(X)
<=> ? [Y] :
( rf(X,Y)
& cp1xcomp(Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,axiom,
! [X] :
( cowlThing(X)
=> ! [Y0,Y1] :
( ( rf(X,Y0)
& rf(X,Y1) )
=> Y0 = Y1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,axiom,
! [X,Y] :
( rinvF(X,Y)
<=> rf(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,axiom,
cUnsatisfiable(i2003_11_14_17_21_48796),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f89,plain,
( ! [X] : cowlThing(X)
& ! [X] : ~ cowlNothing(X) ),
inference(miniscoping,[status(esa)],[f20]) ).
fof(f90,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[status(esa)],[f89]) ).
fof(f96,plain,
! [X] :
( ( ~ cUnsatisfiable(X)
| ? [Y] :
( rf(X,Y)
& ca_Ax2(Y) ) )
& ( cUnsatisfiable(X)
| ! [Y] :
( ~ rf(X,Y)
| ~ ca_Ax2(Y) ) ) ),
inference(NNF_transformation,[status(esa)],[f22]) ).
fof(f97,plain,
( ! [X] :
( ~ cUnsatisfiable(X)
| ? [Y] :
( rf(X,Y)
& ca_Ax2(Y) ) )
& ! [X] :
( cUnsatisfiable(X)
| ! [Y] :
( ~ rf(X,Y)
| ~ ca_Ax2(Y) ) ) ),
inference(miniscoping,[status(esa)],[f96]) ).
fof(f98,plain,
( ! [X] :
( ~ cUnsatisfiable(X)
| ( rf(X,sk0_0(X))
& ca_Ax2(sk0_0(X)) ) )
& ! [X] :
( cUnsatisfiable(X)
| ! [Y] :
( ~ rf(X,Y)
| ~ ca_Ax2(Y) ) ) ),
inference(skolemization,[status(esa)],[f97]) ).
fof(f100,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| ca_Ax2(sk0_0(X0)) ),
inference(cnf_transformation,[status(esa)],[f98]) ).
fof(f102,plain,
! [X] :
( cp1(X)
<=> ! [Y] : ~ ra_Px1(X,Y) ),
inference(pre_NNF_transformation,[status(esa)],[f23]) ).
fof(f103,plain,
! [X] :
( ( ~ cp1(X)
| ! [Y] : ~ ra_Px1(X,Y) )
& ( cp1(X)
| ? [Y] : ra_Px1(X,Y) ) ),
inference(NNF_transformation,[status(esa)],[f102]) ).
fof(f104,plain,
( ! [X] :
( ~ cp1(X)
| ! [Y] : ~ ra_Px1(X,Y) )
& ! [X] :
( cp1(X)
| ? [Y] : ra_Px1(X,Y) ) ),
inference(miniscoping,[status(esa)],[f103]) ).
fof(f105,plain,
( ! [X] :
( ~ cp1(X)
| ! [Y] : ~ ra_Px1(X,Y) )
& ! [X] :
( cp1(X)
| ra_Px1(X,sk0_1(X)) ) ),
inference(skolemization,[status(esa)],[f104]) ).
fof(f106,plain,
! [X0,X1] :
( ~ cp1(X0)
| ~ ra_Px1(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f105]) ).
fof(f108,plain,
! [X] :
( ( ~ cp1xcomp(X)
| ? [Y0] : ra_Px1(X,Y0) )
& ( cp1xcomp(X)
| ! [Y0] : ~ ra_Px1(X,Y0) ) ),
inference(NNF_transformation,[status(esa)],[f24]) ).
fof(f109,plain,
( ! [X] :
( ~ cp1xcomp(X)
| ? [Y0] : ra_Px1(X,Y0) )
& ! [X] :
( cp1xcomp(X)
| ! [Y0] : ~ ra_Px1(X,Y0) ) ),
inference(miniscoping,[status(esa)],[f108]) ).
fof(f110,plain,
( ! [X] :
( ~ cp1xcomp(X)
| ra_Px1(X,sk0_2(X)) )
& ! [X] :
( cp1xcomp(X)
| ! [Y0] : ~ ra_Px1(X,Y0) ) ),
inference(skolemization,[status(esa)],[f109]) ).
fof(f111,plain,
! [X0] :
( ~ cp1xcomp(X0)
| ra_Px1(X0,sk0_2(X0)) ),
inference(cnf_transformation,[status(esa)],[f110]) ).
fof(f113,plain,
! [X] :
( ( ~ ca_Ax2(X)
| ( ? [Y] :
( rinvF(X,Y)
& ca_Vx3(Y) )
& cp1(X) ) )
& ( ca_Ax2(X)
| ! [Y] :
( ~ rinvF(X,Y)
| ~ ca_Vx3(Y) )
| ~ cp1(X) ) ),
inference(NNF_transformation,[status(esa)],[f25]) ).
fof(f114,plain,
( ! [X] :
( ~ ca_Ax2(X)
| ( ? [Y] :
( rinvF(X,Y)
& ca_Vx3(Y) )
& cp1(X) ) )
& ! [X] :
( ca_Ax2(X)
| ! [Y] :
( ~ rinvF(X,Y)
| ~ ca_Vx3(Y) )
| ~ cp1(X) ) ),
inference(miniscoping,[status(esa)],[f113]) ).
fof(f115,plain,
( ! [X] :
( ~ ca_Ax2(X)
| ( rinvF(X,sk0_3(X))
& ca_Vx3(sk0_3(X))
& cp1(X) ) )
& ! [X] :
( ca_Ax2(X)
| ! [Y] :
( ~ rinvF(X,Y)
| ~ ca_Vx3(Y) )
| ~ cp1(X) ) ),
inference(skolemization,[status(esa)],[f114]) ).
fof(f116,plain,
! [X0] :
( ~ ca_Ax2(X0)
| rinvF(X0,sk0_3(X0)) ),
inference(cnf_transformation,[status(esa)],[f115]) ).
fof(f117,plain,
! [X0] :
( ~ ca_Ax2(X0)
| ca_Vx3(sk0_3(X0)) ),
inference(cnf_transformation,[status(esa)],[f115]) ).
fof(f118,plain,
! [X0] :
( ~ ca_Ax2(X0)
| cp1(X0) ),
inference(cnf_transformation,[status(esa)],[f115]) ).
fof(f120,plain,
! [X] :
( ( ~ ca_Vx3(X)
| ? [Y] :
( rf(X,Y)
& cp1xcomp(Y) ) )
& ( ca_Vx3(X)
| ! [Y] :
( ~ rf(X,Y)
| ~ cp1xcomp(Y) ) ) ),
inference(NNF_transformation,[status(esa)],[f26]) ).
fof(f121,plain,
( ! [X] :
( ~ ca_Vx3(X)
| ? [Y] :
( rf(X,Y)
& cp1xcomp(Y) ) )
& ! [X] :
( ca_Vx3(X)
| ! [Y] :
( ~ rf(X,Y)
| ~ cp1xcomp(Y) ) ) ),
inference(miniscoping,[status(esa)],[f120]) ).
fof(f122,plain,
( ! [X] :
( ~ ca_Vx3(X)
| ( rf(X,sk0_4(X))
& cp1xcomp(sk0_4(X)) ) )
& ! [X] :
( ca_Vx3(X)
| ! [Y] :
( ~ rf(X,Y)
| ~ cp1xcomp(Y) ) ) ),
inference(skolemization,[status(esa)],[f121]) ).
fof(f123,plain,
! [X0] :
( ~ ca_Vx3(X0)
| rf(X0,sk0_4(X0)) ),
inference(cnf_transformation,[status(esa)],[f122]) ).
fof(f124,plain,
! [X0] :
( ~ ca_Vx3(X0)
| cp1xcomp(sk0_4(X0)) ),
inference(cnf_transformation,[status(esa)],[f122]) ).
fof(f126,plain,
! [X] :
( ~ cowlThing(X)
| ! [Y0,Y1] :
( ~ rf(X,Y0)
| ~ rf(X,Y1)
| Y0 = Y1 ) ),
inference(pre_NNF_transformation,[status(esa)],[f27]) ).
fof(f127,plain,
! [X0,X1,X2] :
( ~ cowlThing(X0)
| ~ rf(X0,X1)
| ~ rf(X0,X2)
| X1 = X2 ),
inference(cnf_transformation,[status(esa)],[f126]) ).
fof(f128,plain,
! [X,Y] :
( ( ~ rinvF(X,Y)
| rf(Y,X) )
& ( rinvF(X,Y)
| ~ rf(Y,X) ) ),
inference(NNF_transformation,[status(esa)],[f28]) ).
fof(f129,plain,
( ! [X,Y] :
( ~ rinvF(X,Y)
| rf(Y,X) )
& ! [X,Y] :
( rinvF(X,Y)
| ~ rf(Y,X) ) ),
inference(miniscoping,[status(esa)],[f128]) ).
fof(f130,plain,
! [X0,X1] :
( ~ rinvF(X0,X1)
| rf(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f129]) ).
fof(f139,plain,
cUnsatisfiable(i2003_11_14_17_21_48796),
inference(cnf_transformation,[status(esa)],[f31]) ).
fof(f142,plain,
ca_Ax2(sk0_0(i2003_11_14_17_21_48796)),
inference(resolution,[status(thm)],[f100,f139]) ).
fof(f143,plain,
cp1(sk0_0(i2003_11_14_17_21_48796)),
inference(resolution,[status(thm)],[f142,f118]) ).
fof(f144,plain,
ca_Vx3(sk0_3(sk0_0(i2003_11_14_17_21_48796))),
inference(resolution,[status(thm)],[f117,f142]) ).
fof(f146,plain,
cp1xcomp(sk0_4(sk0_3(sk0_0(i2003_11_14_17_21_48796)))),
inference(resolution,[status(thm)],[f144,f124]) ).
fof(f150,plain,
rinvF(sk0_0(i2003_11_14_17_21_48796),sk0_3(sk0_0(i2003_11_14_17_21_48796))),
inference(resolution,[status(thm)],[f116,f142]) ).
fof(f151,plain,
rf(sk0_3(sk0_0(i2003_11_14_17_21_48796)),sk0_4(sk0_3(sk0_0(i2003_11_14_17_21_48796)))),
inference(resolution,[status(thm)],[f123,f144]) ).
fof(f171,plain,
rf(sk0_3(sk0_0(i2003_11_14_17_21_48796)),sk0_0(i2003_11_14_17_21_48796)),
inference(resolution,[status(thm)],[f150,f130]) ).
fof(f182,plain,
! [X0,X1,X2] :
( ~ rf(X0,X1)
| ~ rf(X0,X2)
| X1 = X2 ),
inference(forward_subsumption_resolution,[status(thm)],[f127,f90]) ).
fof(f201,plain,
! [X0] :
( ~ rf(sk0_3(sk0_0(i2003_11_14_17_21_48796)),X0)
| sk0_0(i2003_11_14_17_21_48796) = X0 ),
inference(resolution,[status(thm)],[f171,f182]) ).
fof(f207,plain,
sk0_0(i2003_11_14_17_21_48796) = sk0_4(sk0_3(sk0_0(i2003_11_14_17_21_48796))),
inference(resolution,[status(thm)],[f201,f151]) ).
fof(f209,plain,
cp1xcomp(sk0_0(i2003_11_14_17_21_48796)),
inference(backward_demodulation,[status(thm)],[f207,f146]) ).
fof(f210,plain,
ra_Px1(sk0_0(i2003_11_14_17_21_48796),sk0_2(sk0_0(i2003_11_14_17_21_48796))),
inference(resolution,[status(thm)],[f209,f111]) ).
fof(f212,plain,
~ cp1(sk0_0(i2003_11_14_17_21_48796)),
inference(resolution,[status(thm)],[f210,f106]) ).
fof(f213,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f212,f143]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.07 % Problem : KRS120+1 : TPTP v8.1.2. Released v3.1.0.
% 0.02/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.26 % Computer : n012.cluster.edu
% 0.06/0.26 % Model : x86_64 x86_64
% 0.06/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26 % Memory : 8042.1875MB
% 0.06/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26 % CPULimit : 300
% 0.06/0.26 % WCLimit : 300
% 0.06/0.26 % DateTime : Mon Apr 29 23:19:11 EDT 2024
% 0.06/0.26 % CPUTime :
% 0.10/0.26 % Drodi V3.6.0
% 0.10/0.27 % Refutation found
% 0.10/0.27 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.27 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.27 % Elapsed time: 0.008577 seconds
% 0.10/0.27 % CPU time: 0.018275 seconds
% 0.10/0.27 % Total memory used: 904.336 KB
% 0.10/0.27 % Net memory used: 798.576 KB
%------------------------------------------------------------------------------