%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWW469+5 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n016.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 03:07:54 PM UTC 2026
% Result : Theorem 0.20s 0.50s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 27 ( 14 unt; 2 def)
% Number of atoms : 44 ( 19 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 33 ( 16 ~; 12 |; 2 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 21 ( 16 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X_a] : ti(X_a,undefined(X_a)) = undefined(X_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
( hBOOL(hoare_1883395792gleton)
<=> ? [S,T] : ti(state,S) != ti(state,T) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f62,hypothesis,
hBOOL(hoare_1883395792gleton),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f63,conjecture,
! [T] :
~ ! [S] : ti(state,S) = ti(state,T),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f64,negated_conjecture,
~ ! [T] :
~ ! [S] : ti(state,S) = ti(state,T),
inference(negated_conjecture,[status(cth)],[f63]) ).
fof(f70,plain,
! [X0] : ti(X0,undefined(X0)) = undefined(X0),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f86,plain,
( ( ! [S,T] : ti(state,S) = ti(state,T)
| hBOOL(hoare_1883395792gleton) )
& ( ? [S,T] : ti(state,S) != ti(state,T)
| ~ hBOOL(hoare_1883395792gleton) ) ),
inference(NNF_transformation,[status(thm)],[f18]) ).
fof(f87,plain,
( ( ! [S,T] : ti(state,S) = ti(state,T)
| hBOOL(hoare_1883395792gleton) )
& ( ti(state,sK0_skl) != ti(state,sK1_skl)
| ~ hBOOL(hoare_1883395792gleton) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(S,sK0_skl),skolemize(T,sK1_skl)],[f86]) ).
fof(f88,plain,
( ti(state,sK0_skl) != ti(state,sK1_skl)
| ~ hBOOL(hoare_1883395792gleton) ),
inference(cnf_transformation,[status(thm)],[f87]) ).
fof(f202,plain,
hBOOL(hoare_1883395792gleton),
inference(cnf_transformation,[status(thm)],[f62]) ).
fof(f203,plain,
? [T] :
! [S] : ti(state,S) = ti(state,T),
inference(pre_NNF_transformation,[status(thm)],[f64]) ).
fof(f204,plain,
! [S] : ti(state,S) = ti(state,sK11_skl),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11_skl]),skolemize(T,sK11_skl)],[f203]) ).
fof(f205,plain,
! [X0] : ti(state,X0) = ti(state,sK11_skl),
inference(cnf_transformation,[status(thm)],[f204]) ).
fof(f206,definition,
( sQ0_spl
<=> hBOOL(hoare_1883395792gleton) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f208,plain,
( sQ0_spl
| ~ hBOOL(hoare_1883395792gleton) ),
inference(component_clause,[status(thm)],[f206]) ).
fof(f209,definition,
( sQ1_spl
<=> ti(state,sK0_skl) = ti(state,sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f211,plain,
( sQ1_spl
| ti(state,sK0_skl) != ti(state,sK1_skl) ),
inference(component_clause,[status(thm)],[f209]) ).
fof(f212,plain,
( ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f88,f206,f209]) ).
fof(f218,plain,
! [X0,X1] : ti(state,X0) = ti(state,X1),
inference(paramodulation,[status(thm)],[f205,f205]) ).
fof(f353,plain,
! [X0] : ti(state,X0) = undefined(state),
inference(paramodulation,[status(thm)],[f218,f70]) ).
fof(f399,plain,
( sQ1_spl
| undefined(state) != ti(state,sK1_skl) ),
inference(forward_demodulation,[status(thm)],[f353,f211]) ).
fof(f400,plain,
( sQ1_spl
| undefined(state) != undefined(state) ),
inference(forward_demodulation,[status(thm)],[f353,f399]) ).
fof(f401,plain,
( sQ1_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f400]) ).
fof(f402,plain,
sQ1_spl,
inference(contradiction_clause,[status(thm)],[f401]) ).
fof(f404,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f208,f202]) ).
fof(f405,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f404]) ).
fof(f406,plain,
$false,
inference(sat_refutation,[status(thm)],[f212,f402,f405]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWW469+5 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.45 % Computer : n016.cluster.edu
% 0.20/0.45 % Model : x86_64 x86_64
% 0.20/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.45 % Memory : 8046.5625MB
% 0.20/0.45 % OS : Linux 6.8.0-71-generic
% 0.20/0.45 % CPULimit : 300
% 0.20/0.45 % WCLimit : 300
% 0.20/0.45 % DateTime : Mon Sep 21 10:00:07 UTC 2026
% 0.20/0.45 % CPUTime :
% 0.20/0.48 % Drodi V4.1.1
% 0.20/0.50 % Refutation found
% 0.20/0.50 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.50 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.23/0.52 % Elapsed time: 0.064392 seconds
% 0.23/0.52 % CPU time: 0.158274 seconds
% 0.23/0.52 % Total memory used: 40.829 MB
% 0.23/0.52 % Net memory used: 40.782 MB
%------------------------------------------------------------------------------