%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : KRS012-1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.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 12:59:32 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.38s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 26 ( 6 unt; 2 def)
% Number of atoms : 55 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 55 ( 26 ~; 27 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 3 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 17 ( 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
c(exists),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ f(exists),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X3,X1] :
( ~ d(X3)
| ~ r(X1,X3)
| ~ c(X1)
| e(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X2,X1] :
( ~ r(X1,X2)
| ~ c(X1)
| d(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X1] :
( ~ e(u1r1(X1))
| f(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [X1] :
( r(X1,u1r1(X1))
| f(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,plain,
c(exists),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f15,plain,
~ f(exists),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f16,plain,
! [X3] :
( ~ d(X3)
| ! [X1] :
( ~ r(X1,X3)
| ~ c(X1)
| e(X3) ) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f17,plain,
! [X0,X1] :
( ~ d(X0)
| ~ r(X1,X0)
| ~ c(X1)
| e(X0) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f18,plain,
! [X0,X1] :
( ~ r(X1,X0)
| ~ c(X1)
| d(X0) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f26,plain,
! [X0] :
( ~ e(u1r1(X0))
| f(X0) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f27,plain,
! [X0] :
( r(X0,u1r1(X0))
| f(X0) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f28,plain,
! [X0,X1] :
( ~ r(X1,X0)
| ~ c(X1)
| e(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f17,f18]) ).
fof(f34,definition,
( sQ1_spl
<=> f(exists) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f35,plain,
( ~ sQ1_spl
| f(exists) ),
inference(component_clause,[status(thm)],[f34]) ).
fof(f38,plain,
! [X0] :
( ~ r(exists,X0)
| e(X0) ),
inference(resolution,[status(thm)],[f28,f14]) ).
fof(f39,plain,
( f(exists)
| e(u1r1(exists)) ),
inference(resolution,[status(thm)],[f38,f27]) ).
fof(f40,definition,
( sQ2_spl
<=> e(u1r1(exists)) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f41,plain,
( ~ sQ2_spl
| e(u1r1(exists)) ),
inference(component_clause,[status(thm)],[f40]) ).
fof(f43,plain,
( sQ1_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f39,f40,f34]) ).
fof(f44,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f35,f15]) ).
fof(f45,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f44]) ).
fof(f46,plain,
( ~ sQ2_spl
| f(exists) ),
inference(resolution,[status(thm)],[f41,f26]) ).
fof(f47,plain,
( ~ sQ2_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f46,f34,f40]) ).
fof(f48,plain,
$false,
inference(sat_refutation,[status(thm)],[f43,f45,f47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS012-1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n015.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 22:53:35 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.14/0.38 % Refutation found
% 0.14/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.40 % Elapsed time: 0.034466 seconds
% 0.14/0.40 % CPU time: 0.052586 seconds
% 0.14/0.40 % Total memory used: 3.128 MB
% 0.14/0.40 % Net memory used: 3.073 MB
%------------------------------------------------------------------------------