%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN343+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 : n008.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 03:15:49 PM UTC 2026
% Result : Theorem 0.10s 0.37s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 19 ( 3 unt; 2 def)
% Number of atoms : 50 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 55 ( 24 ~; 15 |; 8 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 1-1 aty)
% Number of variables : 37 ( 29 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
? [X,Y1,Y2] :
! [Z] :
( ( ( big_f(X,Y1)
=> big_f(Z,X) )
=> big_f(X,X) )
=> ( big_f(Y1,Y2)
& big_f(X,X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ? [X,Y1,Y2] :
! [Z] :
( ( ( big_f(X,Y1)
=> big_f(Z,X) )
=> big_f(X,X) )
=> ( big_f(Y1,Y2)
& big_f(X,X) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
! [X,Y1,Y2] :
? [Z] :
( ( ~ big_f(Y1,Y2)
| ~ big_f(X,X) )
& ( big_f(X,X)
| ( ~ big_f(Z,X)
& big_f(X,Y1) ) ) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f4,plain,
( ( ! [Y1,Y2] : ~ big_f(Y1,Y2)
| ! [X] : ~ big_f(X,X) )
& ! [X] :
( big_f(X,X)
| ( ? [Z] : ~ big_f(Z,X)
& ! [Y1] : big_f(X,Y1) ) ) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f5,plain,
( ( ! [Y1,Y2] : ~ big_f(Y1,Y2)
| ! [X] : ~ big_f(X,X) )
& ! [X] :
( big_f(X,X)
| ( ~ big_f(sK0_skl(X),X)
& ! [Y1] : big_f(X,Y1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Z,sK0_skl(X))],[f4]) ).
fof(f6,plain,
! [X0,X1] :
( big_f(X0,X0)
| big_f(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f8,plain,
! [X0,X1,X2] :
( ~ big_f(X1,X2)
| ~ big_f(X0,X0) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f9,definition,
! [X0] :
( sQ0_spl
<=> ~ big_f(X0,X0) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f10,plain,
! [X0] :
( ~ sQ0_spl
| ~ big_f(X0,X0) ),
inference(component_clause,[status(thm)],[f9]) ).
fof(f12,definition,
! [X1,X2] :
( sQ1_spl
<=> ~ big_f(X1,X2) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f13,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ big_f(X0,X1) ),
inference(component_clause,[status(thm)],[f12]) ).
fof(f15,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f8,f9,f12]) ).
fof(f16,plain,
( ~ sQ0_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f10,f17]) ).
fof(f17,plain,
! [X0,X1] :
( ~ sQ0_spl
| big_f(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f6,f10]) ).
fof(f18,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f16]) ).
fof(f19,plain,
! [X0] :
( ~ sQ1_spl
| big_f(X0,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f6,f13]) ).
fof(f20,plain,
( ~ sQ1_spl
| $false ),
inference(resolution,[status(thm)],[f19,f13]) ).
fof(f21,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f20]) ).
fof(f22,plain,
$false,
inference(sat_refutation,[status(thm)],[f15,f18,f21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN343+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n008.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 10:51:24 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.36 % Drodi V4.1.1
% 0.10/0.37 % Refutation found
% 0.10/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.40 % Elapsed time: 0.041356 seconds
% 0.13/0.40 % CPU time: 0.100032 seconds
% 0.13/0.40 % Total memory used: 13.346 MB
% 0.13/0.40 % Net memory used: 12.866 MB
%------------------------------------------------------------------------------