TSTP Solution File: KRS125+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : KRS125+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n028.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 20:24:50 EDT 2024
% Result : Unsatisfiable 0.13s 0.34s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 34 ( 4 unt; 0 def)
% Number of atoms : 85 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 93 ( 42 ~; 33 |; 11 &)
% ( 4 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 52 ( 46 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ce3(X)
& cf(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X] :
( cc(X)
=> cdxcomp(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X] :
( cd(X)
<=> ~ ? [Y] : ra_Px1(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X] :
( cdxcomp(X)
<=> ? [Y0] : ra_Px1(X,Y0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X] :
( ce3(X)
=> cc(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X] :
( cf(X)
=> cd(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
cUnsatisfiable(i2003_11_14_17_22_17947),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,plain,
! [X] :
( ( ~ cUnsatisfiable(X)
| ( ce3(X)
& cf(X) ) )
& ( cUnsatisfiable(X)
| ~ ce3(X)
| ~ cf(X) ) ),
inference(NNF_transformation,[status(esa)],[f3]) ).
fof(f22,plain,
( ! [X] :
( ~ cUnsatisfiable(X)
| ( ce3(X)
& cf(X) ) )
& ! [X] :
( cUnsatisfiable(X)
| ~ ce3(X)
| ~ cf(X) ) ),
inference(miniscoping,[status(esa)],[f21]) ).
fof(f23,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| ce3(X0) ),
inference(cnf_transformation,[status(esa)],[f22]) ).
fof(f24,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cf(X0) ),
inference(cnf_transformation,[status(esa)],[f22]) ).
fof(f26,plain,
! [X] :
( ~ cc(X)
| cdxcomp(X) ),
inference(pre_NNF_transformation,[status(esa)],[f4]) ).
fof(f27,plain,
! [X0] :
( ~ cc(X0)
| cdxcomp(X0) ),
inference(cnf_transformation,[status(esa)],[f26]) ).
fof(f32,plain,
! [X] :
( cd(X)
<=> ! [Y] : ~ ra_Px1(X,Y) ),
inference(pre_NNF_transformation,[status(esa)],[f7]) ).
fof(f33,plain,
! [X] :
( ( ~ cd(X)
| ! [Y] : ~ ra_Px1(X,Y) )
& ( cd(X)
| ? [Y] : ra_Px1(X,Y) ) ),
inference(NNF_transformation,[status(esa)],[f32]) ).
fof(f34,plain,
( ! [X] :
( ~ cd(X)
| ! [Y] : ~ ra_Px1(X,Y) )
& ! [X] :
( cd(X)
| ? [Y] : ra_Px1(X,Y) ) ),
inference(miniscoping,[status(esa)],[f33]) ).
fof(f35,plain,
( ! [X] :
( ~ cd(X)
| ! [Y] : ~ ra_Px1(X,Y) )
& ! [X] :
( cd(X)
| ra_Px1(X,sk0_0(X)) ) ),
inference(skolemization,[status(esa)],[f34]) ).
fof(f36,plain,
! [X0,X1] :
( ~ cd(X0)
| ~ ra_Px1(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f35]) ).
fof(f38,plain,
! [X] :
( ( ~ cdxcomp(X)
| ? [Y0] : ra_Px1(X,Y0) )
& ( cdxcomp(X)
| ! [Y0] : ~ ra_Px1(X,Y0) ) ),
inference(NNF_transformation,[status(esa)],[f8]) ).
fof(f39,plain,
( ! [X] :
( ~ cdxcomp(X)
| ? [Y0] : ra_Px1(X,Y0) )
& ! [X] :
( cdxcomp(X)
| ! [Y0] : ~ ra_Px1(X,Y0) ) ),
inference(miniscoping,[status(esa)],[f38]) ).
fof(f40,plain,
( ! [X] :
( ~ cdxcomp(X)
| ra_Px1(X,sk0_1(X)) )
& ! [X] :
( cdxcomp(X)
| ! [Y0] : ~ ra_Px1(X,Y0) ) ),
inference(skolemization,[status(esa)],[f39]) ).
fof(f41,plain,
! [X0] :
( ~ cdxcomp(X0)
| ra_Px1(X0,sk0_1(X0)) ),
inference(cnf_transformation,[status(esa)],[f40]) ).
fof(f54,plain,
! [X] :
( ~ ce3(X)
| cc(X) ),
inference(pre_NNF_transformation,[status(esa)],[f11]) ).
fof(f55,plain,
! [X0] :
( ~ ce3(X0)
| cc(X0) ),
inference(cnf_transformation,[status(esa)],[f54]) ).
fof(f56,plain,
! [X] :
( ~ cf(X)
| cd(X) ),
inference(pre_NNF_transformation,[status(esa)],[f12]) ).
fof(f57,plain,
! [X0] :
( ~ cf(X0)
| cd(X0) ),
inference(cnf_transformation,[status(esa)],[f56]) ).
fof(f58,plain,
cUnsatisfiable(i2003_11_14_17_22_17947),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f59,plain,
! [X0,X1] :
( ~ ra_Px1(X0,X1)
| ~ cf(X0) ),
inference(resolution,[status(thm)],[f36,f57]) ).
fof(f61,plain,
! [X0,X1] :
( ~ ra_Px1(X0,X1)
| ~ cUnsatisfiable(X0) ),
inference(resolution,[status(thm)],[f59,f24]) ).
fof(f64,plain,
! [X0] :
( ~ cdxcomp(X0)
| ~ cUnsatisfiable(X0) ),
inference(resolution,[status(thm)],[f41,f61]) ).
fof(f66,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| ~ cc(X0) ),
inference(resolution,[status(thm)],[f64,f27]) ).
fof(f67,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| ~ ce3(X0) ),
inference(resolution,[status(thm)],[f66,f55]) ).
fof(f68,plain,
! [X0] : ~ cUnsatisfiable(X0),
inference(forward_subsumption_resolution,[status(thm)],[f67,f23]) ).
fof(f69,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f58,f68]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS125+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 : n028.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 29 23:46:44 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Drodi V3.6.0
% 0.13/0.34 % Refutation found
% 0.13/0.34 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.34 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.35 % Elapsed time: 0.011234 seconds
% 0.13/0.35 % CPU time: 0.019823 seconds
% 0.13/0.35 % Total memory used: 351.232 KB
% 0.13/0.35 % Net memory used: 342.480 KB
%------------------------------------------------------------------------------