TSTP Solution File: KRS110+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : KRS110+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 20:24:48 EDT 2024
% Result : Unsatisfiable 0.13s 0.36s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 33 ( 4 unt; 0 def)
% Number of atoms : 126 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 152 ( 59 ~; 53 |; 33 &)
% ( 6 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 73 ( 58 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f25,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( rs(X,Y)
& ca_Ax2(Y) )
& ! [Y] :
( rs(X,Y)
=> cpxcomp(Y) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,axiom,
! [X] :
( cp(X)
<=> ~ ? [Y] : ra_Px1(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,axiom,
! [X] :
( cpxcomp(X)
<=> ? [Y0] : ra_Px1(X,Y0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
! [X] :
( ca_Ax2(X)
<=> ( cp(X)
& ? [Y] :
( rinvS(X,Y)
& cp(Y) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,axiom,
cUnsatisfiable(i2003_11_14_17_21_12565),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f111,plain,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( rs(X,Y)
& ca_Ax2(Y) )
& ! [Y] :
( ~ rs(X,Y)
| cpxcomp(Y) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f25]) ).
fof(f112,plain,
! [X] :
( ( ~ cUnsatisfiable(X)
| ( ? [Y] :
( rs(X,Y)
& ca_Ax2(Y) )
& ! [Y] :
( ~ rs(X,Y)
| cpxcomp(Y) ) ) )
& ( cUnsatisfiable(X)
| ! [Y] :
( ~ rs(X,Y)
| ~ ca_Ax2(Y) )
| ? [Y] :
( rs(X,Y)
& ~ cpxcomp(Y) ) ) ),
inference(NNF_transformation,[status(esa)],[f111]) ).
fof(f113,plain,
( ! [X] :
( ~ cUnsatisfiable(X)
| ( ? [Y] :
( rs(X,Y)
& ca_Ax2(Y) )
& ! [Y] :
( ~ rs(X,Y)
| cpxcomp(Y) ) ) )
& ! [X] :
( cUnsatisfiable(X)
| ! [Y] :
( ~ rs(X,Y)
| ~ ca_Ax2(Y) )
| ? [Y] :
( rs(X,Y)
& ~ cpxcomp(Y) ) ) ),
inference(miniscoping,[status(esa)],[f112]) ).
fof(f114,plain,
( ! [X] :
( ~ cUnsatisfiable(X)
| ( rs(X,sk0_0(X))
& ca_Ax2(sk0_0(X))
& ! [Y] :
( ~ rs(X,Y)
| cpxcomp(Y) ) ) )
& ! [X] :
( cUnsatisfiable(X)
| ! [Y] :
( ~ rs(X,Y)
| ~ ca_Ax2(Y) )
| ( rs(X,sk0_1(X))
& ~ cpxcomp(sk0_1(X)) ) ) ),
inference(skolemization,[status(esa)],[f113]) ).
fof(f115,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rs(X0,sk0_0(X0)) ),
inference(cnf_transformation,[status(esa)],[f114]) ).
fof(f116,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| ca_Ax2(sk0_0(X0)) ),
inference(cnf_transformation,[status(esa)],[f114]) ).
fof(f117,plain,
! [X0,X1] :
( ~ cUnsatisfiable(X0)
| ~ rs(X0,X1)
| cpxcomp(X1) ),
inference(cnf_transformation,[status(esa)],[f114]) ).
fof(f120,plain,
! [X] :
( cp(X)
<=> ! [Y] : ~ ra_Px1(X,Y) ),
inference(pre_NNF_transformation,[status(esa)],[f26]) ).
fof(f121,plain,
! [X] :
( ( ~ cp(X)
| ! [Y] : ~ ra_Px1(X,Y) )
& ( cp(X)
| ? [Y] : ra_Px1(X,Y) ) ),
inference(NNF_transformation,[status(esa)],[f120]) ).
fof(f122,plain,
( ! [X] :
( ~ cp(X)
| ! [Y] : ~ ra_Px1(X,Y) )
& ! [X] :
( cp(X)
| ? [Y] : ra_Px1(X,Y) ) ),
inference(miniscoping,[status(esa)],[f121]) ).
fof(f123,plain,
( ! [X] :
( ~ cp(X)
| ! [Y] : ~ ra_Px1(X,Y) )
& ! [X] :
( cp(X)
| ra_Px1(X,sk0_2(X)) ) ),
inference(skolemization,[status(esa)],[f122]) ).
fof(f124,plain,
! [X0,X1] :
( ~ cp(X0)
| ~ ra_Px1(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f123]) ).
fof(f126,plain,
! [X] :
( ( ~ cpxcomp(X)
| ? [Y0] : ra_Px1(X,Y0) )
& ( cpxcomp(X)
| ! [Y0] : ~ ra_Px1(X,Y0) ) ),
inference(NNF_transformation,[status(esa)],[f27]) ).
fof(f127,plain,
( ! [X] :
( ~ cpxcomp(X)
| ? [Y0] : ra_Px1(X,Y0) )
& ! [X] :
( cpxcomp(X)
| ! [Y0] : ~ ra_Px1(X,Y0) ) ),
inference(miniscoping,[status(esa)],[f126]) ).
fof(f128,plain,
( ! [X] :
( ~ cpxcomp(X)
| ra_Px1(X,sk0_3(X)) )
& ! [X] :
( cpxcomp(X)
| ! [Y0] : ~ ra_Px1(X,Y0) ) ),
inference(skolemization,[status(esa)],[f127]) ).
fof(f129,plain,
! [X0] :
( ~ cpxcomp(X0)
| ra_Px1(X0,sk0_3(X0)) ),
inference(cnf_transformation,[status(esa)],[f128]) ).
fof(f131,plain,
! [X] :
( ( ~ ca_Ax2(X)
| ( cp(X)
& ? [Y] :
( rinvS(X,Y)
& cp(Y) ) ) )
& ( ca_Ax2(X)
| ~ cp(X)
| ! [Y] :
( ~ rinvS(X,Y)
| ~ cp(Y) ) ) ),
inference(NNF_transformation,[status(esa)],[f28]) ).
fof(f132,plain,
( ! [X] :
( ~ ca_Ax2(X)
| ( cp(X)
& ? [Y] :
( rinvS(X,Y)
& cp(Y) ) ) )
& ! [X] :
( ca_Ax2(X)
| ~ cp(X)
| ! [Y] :
( ~ rinvS(X,Y)
| ~ cp(Y) ) ) ),
inference(miniscoping,[status(esa)],[f131]) ).
fof(f133,plain,
( ! [X] :
( ~ ca_Ax2(X)
| ( cp(X)
& rinvS(X,sk0_4(X))
& cp(sk0_4(X)) ) )
& ! [X] :
( ca_Ax2(X)
| ~ cp(X)
| ! [Y] :
( ~ rinvS(X,Y)
| ~ cp(Y) ) ) ),
inference(skolemization,[status(esa)],[f132]) ).
fof(f134,plain,
! [X0] :
( ~ ca_Ax2(X0)
| cp(X0) ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f159,plain,
cUnsatisfiable(i2003_11_14_17_21_12565),
inference(cnf_transformation,[status(esa)],[f35]) ).
fof(f165,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cp(sk0_0(X0)) ),
inference(resolution,[status(thm)],[f116,f134]) ).
fof(f177,plain,
! [X0] :
( ~ cpxcomp(X0)
| ~ cp(X0) ),
inference(resolution,[status(thm)],[f129,f124]) ).
fof(f180,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cpxcomp(sk0_0(X0))
| ~ cUnsatisfiable(X0) ),
inference(resolution,[status(thm)],[f117,f115]) ).
fof(f181,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cpxcomp(sk0_0(X0)) ),
inference(duplicate_literals_removal,[status(esa)],[f180]) ).
fof(f186,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| ~ cp(sk0_0(X0)) ),
inference(resolution,[status(thm)],[f181,f177]) ).
fof(f187,plain,
! [X0] : ~ cUnsatisfiable(X0),
inference(forward_subsumption_resolution,[status(thm)],[f186,f165]) ).
fof(f188,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f159,f187]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : KRS110+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 23:21:17 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: 0.014287 seconds
% 0.20/0.37 % CPU time: 0.027719 seconds
% 0.20/0.37 % Total memory used: 821.344 KB
% 0.20/0.37 % Net memory used: 792.896 KB
%------------------------------------------------------------------------------