TSTP Solution File: KRS105+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : KRS105+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n003.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 0.11s 0.34s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 41 ( 9 unt; 0 def)
% Number of atoms : 103 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 103 ( 41 ~; 39 |; 12 &)
% ( 5 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 62 ( 54 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X] :
( cUnsatisfiable(X)
=> cdxcomp(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X] :
( cUnsatisfiable(X)
=> cc(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X] :
( cc(X)
=> ! [Y] :
( rr(X,Y)
=> cc(Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X] :
( cd(X)
<=> ~ ? [Y] : ra_Px1(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X] :
( cdxcomp(X)
<=> ? [Y0] : ra_Px1(X,Y0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X] :
( ca_Ax2(X)
<=> ! [Y] :
( rr(X,Y)
=> cc(Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X] :
( ca_Ax2(X)
=> cd(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
cUnsatisfiable(i2003_11_14_17_20_53634),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,plain,
! [X] :
( ~ cUnsatisfiable(X)
| cdxcomp(X) ),
inference(pre_NNF_transformation,[status(esa)],[f3]) ).
fof(f19,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cdxcomp(X0) ),
inference(cnf_transformation,[status(esa)],[f18]) ).
fof(f20,plain,
! [X] :
( ~ cUnsatisfiable(X)
| cc(X) ),
inference(pre_NNF_transformation,[status(esa)],[f4]) ).
fof(f21,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cc(X0) ),
inference(cnf_transformation,[status(esa)],[f20]) ).
fof(f22,plain,
! [X] :
( ~ cc(X)
| ! [Y] :
( ~ rr(X,Y)
| cc(Y) ) ),
inference(pre_NNF_transformation,[status(esa)],[f5]) ).
fof(f23,plain,
! [X0,X1] :
( ~ cc(X0)
| ~ rr(X0,X1)
| cc(X1) ),
inference(cnf_transformation,[status(esa)],[f22]) ).
fof(f24,plain,
! [X] :
( cd(X)
<=> ! [Y] : ~ ra_Px1(X,Y) ),
inference(pre_NNF_transformation,[status(esa)],[f6]) ).
fof(f25,plain,
! [X] :
( ( ~ cd(X)
| ! [Y] : ~ ra_Px1(X,Y) )
& ( cd(X)
| ? [Y] : ra_Px1(X,Y) ) ),
inference(NNF_transformation,[status(esa)],[f24]) ).
fof(f26,plain,
( ! [X] :
( ~ cd(X)
| ! [Y] : ~ ra_Px1(X,Y) )
& ! [X] :
( cd(X)
| ? [Y] : ra_Px1(X,Y) ) ),
inference(miniscoping,[status(esa)],[f25]) ).
fof(f27,plain,
( ! [X] :
( ~ cd(X)
| ! [Y] : ~ ra_Px1(X,Y) )
& ! [X] :
( cd(X)
| ra_Px1(X,sk0_0(X)) ) ),
inference(skolemization,[status(esa)],[f26]) ).
fof(f28,plain,
! [X0,X1] :
( ~ cd(X0)
| ~ ra_Px1(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f27]) ).
fof(f30,plain,
! [X] :
( ( ~ cdxcomp(X)
| ? [Y0] : ra_Px1(X,Y0) )
& ( cdxcomp(X)
| ! [Y0] : ~ ra_Px1(X,Y0) ) ),
inference(NNF_transformation,[status(esa)],[f7]) ).
fof(f31,plain,
( ! [X] :
( ~ cdxcomp(X)
| ? [Y0] : ra_Px1(X,Y0) )
& ! [X] :
( cdxcomp(X)
| ! [Y0] : ~ ra_Px1(X,Y0) ) ),
inference(miniscoping,[status(esa)],[f30]) ).
fof(f32,plain,
( ! [X] :
( ~ cdxcomp(X)
| ra_Px1(X,sk0_1(X)) )
& ! [X] :
( cdxcomp(X)
| ! [Y0] : ~ ra_Px1(X,Y0) ) ),
inference(skolemization,[status(esa)],[f31]) ).
fof(f33,plain,
! [X0] :
( ~ cdxcomp(X0)
| ra_Px1(X0,sk0_1(X0)) ),
inference(cnf_transformation,[status(esa)],[f32]) ).
fof(f35,plain,
! [X] :
( ca_Ax2(X)
<=> ! [Y] :
( ~ rr(X,Y)
| cc(Y) ) ),
inference(pre_NNF_transformation,[status(esa)],[f8]) ).
fof(f36,plain,
! [X] :
( ( ~ ca_Ax2(X)
| ! [Y] :
( ~ rr(X,Y)
| cc(Y) ) )
& ( ca_Ax2(X)
| ? [Y] :
( rr(X,Y)
& ~ cc(Y) ) ) ),
inference(NNF_transformation,[status(esa)],[f35]) ).
fof(f37,plain,
( ! [X] :
( ~ ca_Ax2(X)
| ! [Y] :
( ~ rr(X,Y)
| cc(Y) ) )
& ! [X] :
( ca_Ax2(X)
| ? [Y] :
( rr(X,Y)
& ~ cc(Y) ) ) ),
inference(miniscoping,[status(esa)],[f36]) ).
fof(f38,plain,
( ! [X] :
( ~ ca_Ax2(X)
| ! [Y] :
( ~ rr(X,Y)
| cc(Y) ) )
& ! [X] :
( ca_Ax2(X)
| ( rr(X,sk0_2(X))
& ~ cc(sk0_2(X)) ) ) ),
inference(skolemization,[status(esa)],[f37]) ).
fof(f40,plain,
! [X0] :
( ca_Ax2(X0)
| rr(X0,sk0_2(X0)) ),
inference(cnf_transformation,[status(esa)],[f38]) ).
fof(f41,plain,
! [X0] :
( ca_Ax2(X0)
| ~ cc(sk0_2(X0)) ),
inference(cnf_transformation,[status(esa)],[f38]) ).
fof(f42,plain,
! [X] :
( ~ ca_Ax2(X)
| cd(X) ),
inference(pre_NNF_transformation,[status(esa)],[f9]) ).
fof(f43,plain,
! [X0] :
( ~ ca_Ax2(X0)
| cd(X0) ),
inference(cnf_transformation,[status(esa)],[f42]) ).
fof(f44,plain,
cUnsatisfiable(i2003_11_14_17_20_53634),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f45,plain,
cdxcomp(i2003_11_14_17_20_53634),
inference(resolution,[status(thm)],[f19,f44]) ).
fof(f46,plain,
cc(i2003_11_14_17_20_53634),
inference(resolution,[status(thm)],[f21,f44]) ).
fof(f47,plain,
! [X0] :
( ~ cc(X0)
| cc(sk0_2(X0))
| ca_Ax2(X0) ),
inference(resolution,[status(thm)],[f23,f40]) ).
fof(f57,plain,
! [X0] :
( ~ cc(X0)
| ca_Ax2(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f47,f41]) ).
fof(f58,plain,
ca_Ax2(i2003_11_14_17_20_53634),
inference(resolution,[status(thm)],[f57,f46]) ).
fof(f59,plain,
cd(i2003_11_14_17_20_53634),
inference(resolution,[status(thm)],[f58,f43]) ).
fof(f60,plain,
ra_Px1(i2003_11_14_17_20_53634,sk0_1(i2003_11_14_17_20_53634)),
inference(resolution,[status(thm)],[f33,f45]) ).
fof(f62,plain,
~ cd(i2003_11_14_17_20_53634),
inference(resolution,[status(thm)],[f60,f28]) ).
fof(f63,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f62,f59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : KRS105+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.33 % Computer : n003.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Mon Apr 29 23:32:33 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.34 % Drodi V3.6.0
% 0.11/0.34 % Refutation found
% 0.11/0.34 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.34 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.35 % Elapsed time: 0.014137 seconds
% 0.11/0.35 % CPU time: 0.024005 seconds
% 0.11/0.35 % Total memory used: 371.248 KB
% 0.11/0.35 % Net memory used: 362.928 KB
%------------------------------------------------------------------------------