%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN066-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.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 03:15:06 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.38s
% Output : CNFRefutation 0.14s
% 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 : 34 ( 18 ~; 14 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 29 ( 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X,Y] :
( big_q(h(X,Y),g(X))
| ~ big_p(f(X,Y),g(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y] :
( big_q(i(X,Y),X)
| big_p(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y,Z] :
( big_r(Z,Z)
| ~ big_q(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
! [Z] : ~ big_r(a,Z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,plain,
! [X0,X1] :
( big_q(h(X0,X1),g(X0))
| ~ big_p(f(X0,X1),g(X0)) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f10,plain,
! [X0,X1] :
( big_q(i(X0,X1),X0)
| big_p(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f11,plain,
( ! [Z] : big_r(Z,Z)
| ! [X,Y] : ~ big_q(X,Y) ),
inference(miniscoping,[status(thm)],[f5]) ).
fof(f12,plain,
! [X0,X1,X2] :
( big_r(X2,X2)
| ~ big_q(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f13,plain,
! [X0] : ~ big_r(a,X0),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f14,definition,
! [X0,X1] :
( sQ0_spl
<=> ~ big_q(X0,X1) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f15,plain,
! [X0,X1] :
( ~ sQ0_spl
| ~ big_q(X0,X1) ),
inference(component_clause,[status(thm)],[f14]) ).
fof(f17,definition,
! [X2] :
( sQ1_spl
<=> big_r(X2,X2) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f18,plain,
! [X0] :
( ~ sQ1_spl
| big_r(X0,X0) ),
inference(component_clause,[status(thm)],[f17]) ).
fof(f20,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f12,f14,f17]) ).
fof(f21,plain,
! [X0,X1] :
( ~ sQ0_spl
| big_p(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f10,f15]) ).
fof(f22,plain,
! [X0,X1] :
( ~ sQ0_spl
| ~ big_p(f(X0,X1),g(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f9,f15]) ).
fof(f23,plain,
( ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f22,f21]) ).
fof(f24,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f23]) ).
fof(f25,plain,
( ~ sQ1_spl
| $false ),
inference(resolution,[status(thm)],[f18,f13]) ).
fof(f26,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f25]) ).
fof(f27,plain,
$false,
inference(sat_refutation,[status(thm)],[f20,f24,f26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN066-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n019.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 10:41:50 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % 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
% 0.14/0.39 % Elapsed time: 0.024029 seconds
% 0.14/0.39 % CPU time: 0.047116 seconds
% 0.14/0.39 % Total memory used: 2.577 MB
% 0.14/0.39 % Net memory used: 2.502 MB
%------------------------------------------------------------------------------