%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : KRS068+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:59:37 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.38s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 32 ( 6 unt; 2 def)
% Number of atoms : 64 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 60 ( 28 ~; 22 |; 2 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 21 ( 20 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X] :
( cUnsatisfiable(X)
=> cc(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X] :
( cUnsatisfiable(X)
=> ~ cd(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,
cUnsatisfiable(i2003_11_14_17_18_23845),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X] :
( ! [Y] :
( rr(X,Y)
=> cc(Y) )
=> cd(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,plain,
! [X] :
( cc(X)
| ~ cUnsatisfiable(X) ),
inference(pre_NNF_transformation,[status(thm)],[f3]) ).
fof(f16,plain,
! [X0] :
( cc(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f17,plain,
! [X] :
( ~ cd(X)
| ~ cUnsatisfiable(X) ),
inference(pre_NNF_transformation,[status(thm)],[f4]) ).
fof(f18,plain,
! [X0] :
( ~ cd(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f19,plain,
! [X] :
( ! [Y] :
( cc(Y)
| ~ rr(X,Y) )
| ~ cc(X) ),
inference(pre_NNF_transformation,[status(thm)],[f5]) ).
fof(f20,plain,
! [X0,X1] :
( cc(X1)
| ~ rr(X0,X1)
| ~ cc(X0) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f21,plain,
cUnsatisfiable(i2003_11_14_17_18_23845),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f22,plain,
! [X] :
( cd(X)
| ? [Y] :
( ~ cc(Y)
& rr(X,Y) ) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f23,plain,
! [X] :
( cd(X)
| ( ~ cc(sK0_skl(X))
& rr(X,sK0_skl(X)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Y,sK0_skl(X))],[f22]) ).
fof(f24,plain,
! [X0] :
( cd(X0)
| rr(X0,sK0_skl(X0)) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f25,plain,
! [X0] :
( cd(X0)
| ~ cc(sK0_skl(X0)) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f26,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| ~ cc(sK0_skl(X0)) ),
inference(resolution,[status(thm)],[f25,f18]) ).
fof(f27,plain,
~ cc(sK0_skl(i2003_11_14_17_18_23845)),
inference(resolution,[status(thm)],[f26,f21]) ).
fof(f28,plain,
! [X0] :
( ~ rr(X0,sK0_skl(i2003_11_14_17_18_23845))
| ~ cc(X0) ),
inference(resolution,[status(thm)],[f27,f20]) ).
fof(f30,plain,
( cd(i2003_11_14_17_18_23845)
| ~ cc(i2003_11_14_17_18_23845) ),
inference(resolution,[status(thm)],[f28,f24]) ).
fof(f31,definition,
( sQ0_spl
<=> cc(i2003_11_14_17_18_23845) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f33,plain,
( sQ0_spl
| ~ cc(i2003_11_14_17_18_23845) ),
inference(component_clause,[status(thm)],[f31]) ).
fof(f34,definition,
( sQ1_spl
<=> cd(i2003_11_14_17_18_23845) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f35,plain,
( ~ sQ1_spl
| cd(i2003_11_14_17_18_23845) ),
inference(component_clause,[status(thm)],[f34]) ).
fof(f37,plain,
( sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f30,f31,f34]) ).
fof(f39,plain,
( sQ0_spl
| ~ cUnsatisfiable(i2003_11_14_17_18_23845) ),
inference(resolution,[status(thm)],[f33,f16]) ).
fof(f40,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f39,f21]) ).
fof(f41,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f40]) ).
fof(f42,plain,
( ~ sQ1_spl
| ~ cUnsatisfiable(i2003_11_14_17_18_23845) ),
inference(resolution,[status(thm)],[f35,f18]) ).
fof(f43,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f42,f21]) ).
fof(f44,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f43]) ).
fof(f45,plain,
$false,
inference(sat_refutation,[status(thm)],[f37,f41,f44]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS068+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n005.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 22:53:05 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % Drodi V4.1.1
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.39 % Elapsed time: 0.031234 seconds
% 0.13/0.39 % CPU time: 0.076981 seconds
% 0.13/0.39 % Total memory used: 938.800 KB
% 0.13/0.39 % Net memory used: 926.736 KB
%------------------------------------------------------------------------------