TSTP Solution File: KRS119+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : KRS119+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 20:24:49 EDT 2024
% Result : Unsatisfiable 0.14s 0.36s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 55 ( 7 unt; 0 def)
% Number of atoms : 186 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 219 ( 88 ~; 83 |; 38 &)
% ( 8 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 110 ( 96 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f22,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( rr(X,Y)
& ca_Vx3(Y) )
& cp1(X) ) ),
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)
<=> ( cp1(X)
& ! [Y] :
( rinvR(X,Y)
=> cp1xcomp(Y) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,axiom,
! [X] :
( ca_Vx3(X)
<=> ? [Y] :
( rr(X,Y)
& ca_Ax2(Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,axiom,
! [X,Y] :
( rinvR(X,Y)
<=> rr(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,axiom,
! [X,Y,Z] :
( ( rr(X,Y)
& rr(Y,Z) )
=> rr(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,axiom,
cUnsatisfiable(i2003_11_14_17_21_44786),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f96,plain,
! [X] :
( ( ~ cUnsatisfiable(X)
| ( ? [Y] :
( rr(X,Y)
& ca_Vx3(Y) )
& cp1(X) ) )
& ( cUnsatisfiable(X)
| ! [Y] :
( ~ rr(X,Y)
| ~ ca_Vx3(Y) )
| ~ cp1(X) ) ),
inference(NNF_transformation,[status(esa)],[f22]) ).
fof(f97,plain,
( ! [X] :
( ~ cUnsatisfiable(X)
| ( ? [Y] :
( rr(X,Y)
& ca_Vx3(Y) )
& cp1(X) ) )
& ! [X] :
( cUnsatisfiable(X)
| ! [Y] :
( ~ rr(X,Y)
| ~ ca_Vx3(Y) )
| ~ cp1(X) ) ),
inference(miniscoping,[status(esa)],[f96]) ).
fof(f98,plain,
( ! [X] :
( ~ cUnsatisfiable(X)
| ( rr(X,sk0_0(X))
& ca_Vx3(sk0_0(X))
& cp1(X) ) )
& ! [X] :
( cUnsatisfiable(X)
| ! [Y] :
( ~ rr(X,Y)
| ~ ca_Vx3(Y) )
| ~ cp1(X) ) ),
inference(skolemization,[status(esa)],[f97]) ).
fof(f99,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rr(X0,sk0_0(X0)) ),
inference(cnf_transformation,[status(esa)],[f98]) ).
fof(f100,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| ca_Vx3(sk0_0(X0)) ),
inference(cnf_transformation,[status(esa)],[f98]) ).
fof(f101,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cp1(X0) ),
inference(cnf_transformation,[status(esa)],[f98]) ).
fof(f103,plain,
! [X] :
( cp1(X)
<=> ! [Y] : ~ ra_Px1(X,Y) ),
inference(pre_NNF_transformation,[status(esa)],[f23]) ).
fof(f104,plain,
! [X] :
( ( ~ cp1(X)
| ! [Y] : ~ ra_Px1(X,Y) )
& ( cp1(X)
| ? [Y] : ra_Px1(X,Y) ) ),
inference(NNF_transformation,[status(esa)],[f103]) ).
fof(f105,plain,
( ! [X] :
( ~ cp1(X)
| ! [Y] : ~ ra_Px1(X,Y) )
& ! [X] :
( cp1(X)
| ? [Y] : ra_Px1(X,Y) ) ),
inference(miniscoping,[status(esa)],[f104]) ).
fof(f106,plain,
( ! [X] :
( ~ cp1(X)
| ! [Y] : ~ ra_Px1(X,Y) )
& ! [X] :
( cp1(X)
| ra_Px1(X,sk0_1(X)) ) ),
inference(skolemization,[status(esa)],[f105]) ).
fof(f107,plain,
! [X0,X1] :
( ~ cp1(X0)
| ~ ra_Px1(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f106]) ).
fof(f109,plain,
! [X] :
( ( ~ cp1xcomp(X)
| ? [Y0] : ra_Px1(X,Y0) )
& ( cp1xcomp(X)
| ! [Y0] : ~ ra_Px1(X,Y0) ) ),
inference(NNF_transformation,[status(esa)],[f24]) ).
fof(f110,plain,
( ! [X] :
( ~ cp1xcomp(X)
| ? [Y0] : ra_Px1(X,Y0) )
& ! [X] :
( cp1xcomp(X)
| ! [Y0] : ~ ra_Px1(X,Y0) ) ),
inference(miniscoping,[status(esa)],[f109]) ).
fof(f111,plain,
( ! [X] :
( ~ cp1xcomp(X)
| ra_Px1(X,sk0_2(X)) )
& ! [X] :
( cp1xcomp(X)
| ! [Y0] : ~ ra_Px1(X,Y0) ) ),
inference(skolemization,[status(esa)],[f110]) ).
fof(f112,plain,
! [X0] :
( ~ cp1xcomp(X0)
| ra_Px1(X0,sk0_2(X0)) ),
inference(cnf_transformation,[status(esa)],[f111]) ).
fof(f114,plain,
! [X] :
( ca_Ax2(X)
<=> ( cp1(X)
& ! [Y] :
( ~ rinvR(X,Y)
| cp1xcomp(Y) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f25]) ).
fof(f115,plain,
! [X] :
( ( ~ ca_Ax2(X)
| ( cp1(X)
& ! [Y] :
( ~ rinvR(X,Y)
| cp1xcomp(Y) ) ) )
& ( ca_Ax2(X)
| ~ cp1(X)
| ? [Y] :
( rinvR(X,Y)
& ~ cp1xcomp(Y) ) ) ),
inference(NNF_transformation,[status(esa)],[f114]) ).
fof(f116,plain,
( ! [X] :
( ~ ca_Ax2(X)
| ( cp1(X)
& ! [Y] :
( ~ rinvR(X,Y)
| cp1xcomp(Y) ) ) )
& ! [X] :
( ca_Ax2(X)
| ~ cp1(X)
| ? [Y] :
( rinvR(X,Y)
& ~ cp1xcomp(Y) ) ) ),
inference(miniscoping,[status(esa)],[f115]) ).
fof(f117,plain,
( ! [X] :
( ~ ca_Ax2(X)
| ( cp1(X)
& ! [Y] :
( ~ rinvR(X,Y)
| cp1xcomp(Y) ) ) )
& ! [X] :
( ca_Ax2(X)
| ~ cp1(X)
| ( rinvR(X,sk0_3(X))
& ~ cp1xcomp(sk0_3(X)) ) ) ),
inference(skolemization,[status(esa)],[f116]) ).
fof(f119,plain,
! [X0,X1] :
( ~ ca_Ax2(X0)
| ~ rinvR(X0,X1)
| cp1xcomp(X1) ),
inference(cnf_transformation,[status(esa)],[f117]) ).
fof(f122,plain,
! [X] :
( ( ~ ca_Vx3(X)
| ? [Y] :
( rr(X,Y)
& ca_Ax2(Y) ) )
& ( ca_Vx3(X)
| ! [Y] :
( ~ rr(X,Y)
| ~ ca_Ax2(Y) ) ) ),
inference(NNF_transformation,[status(esa)],[f26]) ).
fof(f123,plain,
( ! [X] :
( ~ ca_Vx3(X)
| ? [Y] :
( rr(X,Y)
& ca_Ax2(Y) ) )
& ! [X] :
( ca_Vx3(X)
| ! [Y] :
( ~ rr(X,Y)
| ~ ca_Ax2(Y) ) ) ),
inference(miniscoping,[status(esa)],[f122]) ).
fof(f124,plain,
( ! [X] :
( ~ ca_Vx3(X)
| ( rr(X,sk0_4(X))
& ca_Ax2(sk0_4(X)) ) )
& ! [X] :
( ca_Vx3(X)
| ! [Y] :
( ~ rr(X,Y)
| ~ ca_Ax2(Y) ) ) ),
inference(skolemization,[status(esa)],[f123]) ).
fof(f125,plain,
! [X0] :
( ~ ca_Vx3(X0)
| rr(X0,sk0_4(X0)) ),
inference(cnf_transformation,[status(esa)],[f124]) ).
fof(f126,plain,
! [X0] :
( ~ ca_Vx3(X0)
| ca_Ax2(sk0_4(X0)) ),
inference(cnf_transformation,[status(esa)],[f124]) ).
fof(f127,plain,
! [X0,X1] :
( ca_Vx3(X0)
| ~ rr(X0,X1)
| ~ ca_Ax2(X1) ),
inference(cnf_transformation,[status(esa)],[f124]) ).
fof(f134,plain,
! [X,Y] :
( ( ~ rinvR(X,Y)
| rr(Y,X) )
& ( rinvR(X,Y)
| ~ rr(Y,X) ) ),
inference(NNF_transformation,[status(esa)],[f29]) ).
fof(f135,plain,
( ! [X,Y] :
( ~ rinvR(X,Y)
| rr(Y,X) )
& ! [X,Y] :
( rinvR(X,Y)
| ~ rr(Y,X) ) ),
inference(miniscoping,[status(esa)],[f134]) ).
fof(f137,plain,
! [X0,X1] :
( rinvR(X0,X1)
| ~ rr(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f135]) ).
fof(f138,plain,
! [X,Y,Z] :
( ~ rr(X,Y)
| ~ rr(Y,Z)
| rr(X,Z) ),
inference(pre_NNF_transformation,[status(esa)],[f30]) ).
fof(f139,plain,
! [X,Z] :
( ! [Y] :
( ~ rr(X,Y)
| ~ rr(Y,Z) )
| rr(X,Z) ),
inference(miniscoping,[status(esa)],[f138]) ).
fof(f140,plain,
! [X0,X1,X2] :
( ~ rr(X0,X1)
| ~ rr(X1,X2)
| rr(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f139]) ).
fof(f141,plain,
cUnsatisfiable(i2003_11_14_17_21_44786),
inference(cnf_transformation,[status(esa)],[f31]) ).
fof(f143,plain,
cp1(i2003_11_14_17_21_44786),
inference(resolution,[status(thm)],[f101,f141]) ).
fof(f149,plain,
! [X0] :
( ~ cp1xcomp(X0)
| ~ cp1(X0) ),
inference(resolution,[status(thm)],[f112,f107]) ).
fof(f150,plain,
! [X0] :
( ~ ca_Vx3(X0)
| rinvR(sk0_4(X0),X0) ),
inference(resolution,[status(thm)],[f125,f137]) ).
fof(f153,plain,
! [X0] :
( ~ ca_Ax2(sk0_4(X0))
| cp1xcomp(X0)
| ~ ca_Vx3(X0) ),
inference(resolution,[status(thm)],[f119,f150]) ).
fof(f154,plain,
! [X0] :
( cp1xcomp(X0)
| ~ ca_Vx3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f153,f126]) ).
fof(f164,plain,
! [X0,X1] :
( ~ rr(X0,X1)
| rr(X0,sk0_4(X1))
| ~ ca_Vx3(X1) ),
inference(resolution,[status(thm)],[f140,f125]) ).
fof(f168,plain,
! [X0,X1] :
( ~ rr(X0,X1)
| ~ ca_Vx3(X1)
| ca_Vx3(X0)
| ~ ca_Ax2(sk0_4(X1)) ),
inference(resolution,[status(thm)],[f164,f127]) ).
fof(f169,plain,
! [X0,X1] :
( ~ rr(X0,X1)
| ~ ca_Vx3(X1)
| ca_Vx3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f168,f126]) ).
fof(f173,plain,
! [X0] :
( ~ ca_Vx3(sk0_0(X0))
| ca_Vx3(X0)
| ~ cUnsatisfiable(X0) ),
inference(resolution,[status(thm)],[f169,f99]) ).
fof(f174,plain,
! [X0] :
( ca_Vx3(X0)
| ~ cUnsatisfiable(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f173,f100]) ).
fof(f175,plain,
ca_Vx3(i2003_11_14_17_21_44786),
inference(resolution,[status(thm)],[f174,f141]) ).
fof(f176,plain,
cp1xcomp(i2003_11_14_17_21_44786),
inference(resolution,[status(thm)],[f175,f154]) ).
fof(f177,plain,
~ cp1(i2003_11_14_17_21_44786),
inference(resolution,[status(thm)],[f176,f149]) ).
fof(f178,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f177,f143]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13 % Problem : KRS119+1 : TPTP v8.1.2. Released v3.1.0.
% 0.09/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n020.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 23:20:47 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Drodi V3.6.0
% 0.14/0.36 % Refutation found
% 0.14/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.37 % Elapsed time: 0.014418 seconds
% 0.14/0.37 % CPU time: 0.029731 seconds
% 0.14/0.37 % Total memory used: 849.760 KB
% 0.14/0.37 % Net memory used: 794.048 KB
%------------------------------------------------------------------------------