%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SEU306+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 02:20:06 PM UTC 2026
% Result : Theorem 0.13s 0.44s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 4 unt; 0 def)
% Number of atoms : 18 ( 9 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 13 ( 6 ~; 2 |; 2 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 6 ( 5 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f76,axiom,
! [A] :
( one_sorted_str(A)
=> cast_as_carrier_subset(A) = the_carrier(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f318,conjecture,
! [A] :
( one_sorted_str(A)
=> cast_as_carrier_subset(A) = the_carrier(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f319,negated_conjecture,
~ ! [A] :
( one_sorted_str(A)
=> cast_as_carrier_subset(A) = the_carrier(A) ),
inference(negated_conjecture,[status(cth)],[f318]) ).
fof(f867,plain,
! [A] :
( cast_as_carrier_subset(A) = the_carrier(A)
| ~ one_sorted_str(A) ),
inference(pre_NNF_transformation,[status(thm)],[f76]) ).
fof(f868,plain,
! [X0] :
( cast_as_carrier_subset(X0) = the_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[status(thm)],[f867]) ).
fof(f1876,plain,
? [A] :
( cast_as_carrier_subset(A) != the_carrier(A)
& one_sorted_str(A) ),
inference(pre_NNF_transformation,[status(thm)],[f319]) ).
fof(f1877,plain,
( cast_as_carrier_subset(sK249_skl) != the_carrier(sK249_skl)
& one_sorted_str(sK249_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK249_skl]),skolemize(A,sK249_skl)],[f1876]) ).
fof(f1878,plain,
one_sorted_str(sK249_skl),
inference(cnf_transformation,[status(thm)],[f1877]) ).
fof(f1879,plain,
cast_as_carrier_subset(sK249_skl) != the_carrier(sK249_skl),
inference(cnf_transformation,[status(thm)],[f1877]) ).
fof(f2929,plain,
cast_as_carrier_subset(sK249_skl) = the_carrier(sK249_skl),
inference(resolution,[status(thm)],[f868,f1878]) ).
fof(f2930,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f2929,f1879]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU306+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n011.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 06:09:55 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.13/0.41 % Drodi V4.1.1
% 0.13/0.44 % Refutation found
% 0.13/0.44 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.44 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.49 % Elapsed time: 0.128324 seconds
% 0.20/0.49 % CPU time: 0.331437 seconds
% 0.20/0.49 % Total memory used: 165.439 MB
% 0.20/0.49 % Net memory used: 164.591 MB
%------------------------------------------------------------------------------