%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN319-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n009.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 03:15:44 PM UTC 2026
% Result : Unsatisfiable 0.22s 0.54s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 21 ( 5 unt; 2 def)
% Number of atoms : 37 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 30 ( 14 ~; 14 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [Y,X] :
( g(X)
| f(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
! [X] :
( h(X)
| ~ f(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
! [X] :
( h(X)
| ~ g(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
! [X,Y] : ~ h(z2(X,Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,plain,
( ! [X] : g(X)
| ! [Y] : f(Y) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f9,plain,
! [X0,X1] :
( g(X1)
| f(X0) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f15,plain,
! [X0] :
( h(X0)
| ~ f(X0) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f16,plain,
! [X0] :
( h(X0)
| ~ g(X0) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f17,plain,
! [X0,X1] : ~ h(z2(X0,X1)),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f18,definition,
! [X0] :
( sQ0_spl
<=> f(X0) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f19,plain,
! [X0] :
( ~ sQ0_spl
| f(X0) ),
inference(component_clause,[status(thm)],[f18]) ).
fof(f21,definition,
! [X1] :
( sQ1_spl
<=> g(X1) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f22,plain,
! [X0] :
( ~ sQ1_spl
| g(X0) ),
inference(component_clause,[status(thm)],[f21]) ).
fof(f24,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f9,f18,f21]) ).
fof(f25,plain,
! [X0] :
( ~ sQ0_spl
| h(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f15,f19]) ).
fof(f26,plain,
( ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f17,f25]) ).
fof(f27,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f26]) ).
fof(f28,plain,
( ~ sQ1_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f17,f29]) ).
fof(f29,plain,
! [X0] :
( ~ sQ1_spl
| h(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f16,f22]) ).
fof(f30,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f28]) ).
fof(f31,plain,
$false,
inference(sat_refutation,[status(thm)],[f24,f27,f30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN319-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.48 % Computer : n009.cluster.edu
% 0.22/0.48 % Model : x86_64 x86_64
% 0.22/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.22/0.48 % Memory : 8046.5625MB
% 0.22/0.48 % OS : Linux 6.8.0-71-generic
% 0.22/0.48 % CPULimit : 300
% 0.22/0.48 % WCLimit : 300
% 0.22/0.48 % DateTime : Mon Sep 21 10:48:57 UTC 2026
% 0.22/0.49 % CPUTime :
% 0.22/0.52 % Drodi V4.1.1
% 0.22/0.54 % Refutation found
% 0.22/0.54 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.22/0.54 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.26/0.58 % Elapsed time: 0.076208 seconds
% 0.26/0.58 % CPU time: 0.091787 seconds
% 0.26/0.58 % Total memory used: 2.578 MB
% 0.26/0.58 % Net memory used: 2.493 MB
%------------------------------------------------------------------------------