%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWW469+1 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n012.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 0.12s 0.38s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 21 ( 8 unt; 0 def)
% Number of atoms : 52 ( 15 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 55 ( 24 ~; 16 |; 10 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 16 ( 11 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
( hoare_165779456gleton
<=> ? [S,T] :
( S != T
& is_state(T)
& is_state(S) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,hypothesis,
hoare_165779456gleton,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,conjecture,
! [T] :
( is_state(T)
=> ~ ! [S] :
( is_state(S)
=> S = T ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
~ ! [T] :
( is_state(T)
=> ~ ! [S] :
( is_state(S)
=> S = T ) ),
inference(negated_conjecture,[status(cth)],[f7]) ).
fof(f10,plain,
( ( ! [S,T] :
( S = T
| ~ is_state(T)
| ~ is_state(S) )
| hoare_165779456gleton )
& ( ? [S,T] :
( S != T
& is_state(T)
& is_state(S) )
| ~ hoare_165779456gleton ) ),
inference(NNF_transformation,[status(thm)],[f2]) ).
fof(f11,plain,
( ( ! [S,T] :
( S = T
| ~ is_state(T)
| ~ is_state(S) )
| hoare_165779456gleton )
& ( ( sK0_skl != sK1_skl
& is_state(sK1_skl)
& is_state(sK0_skl) )
| ~ hoare_165779456gleton ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(S,sK0_skl),skolemize(T,sK1_skl)],[f10]) ).
fof(f12,plain,
( is_state(sK0_skl)
| ~ hoare_165779456gleton ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f13,plain,
( is_state(sK1_skl)
| ~ hoare_165779456gleton ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f14,plain,
( sK0_skl != sK1_skl
| ~ hoare_165779456gleton ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f19,plain,
hoare_165779456gleton,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f20,plain,
? [T] :
( ! [S] :
( S = T
| ~ is_state(S) )
& is_state(T) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f21,plain,
( ! [S] :
( S = sK2_skl
| ~ is_state(S) )
& is_state(sK2_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(T,sK2_skl)],[f20]) ).
fof(f23,plain,
! [X0] :
( X0 = sK2_skl
| ~ is_state(X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f27,plain,
is_state(sK0_skl),
inference(forward_subsumption_resolution,[status(thm)],[f12,f19]) ).
fof(f28,plain,
sK0_skl = sK2_skl,
inference(resolution,[status(thm)],[f27,f23]) ).
fof(f30,plain,
is_state(sK1_skl),
inference(forward_subsumption_resolution,[status(thm)],[f13,f19]) ).
fof(f31,plain,
sK1_skl = sK2_skl,
inference(resolution,[status(thm)],[f30,f23]) ).
fof(f33,plain,
( sK2_skl != sK1_skl
| ~ hoare_165779456gleton ),
inference(forward_demodulation,[status(thm)],[f28,f14]) ).
fof(f34,plain,
( sK2_skl != sK2_skl
| ~ hoare_165779456gleton ),
inference(forward_demodulation,[status(thm)],[f31,f33]) ).
fof(f35,plain,
~ hoare_165779456gleton,
inference(trivial_equality_resolution,[status(thm)],[f34]) ).
fof(f36,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f35,f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW469+1 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n012.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 09:55:06 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 0.12/0.38 % Refutation found
% 0.12/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.40 % Elapsed time: 0.044807 seconds
% 0.12/0.40 % CPU time: 0.115935 seconds
% 0.12/0.40 % Total memory used: 79.782 MB
% 0.12/0.40 % Net memory used: 79.305 MB
%------------------------------------------------------------------------------