%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SEU137+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 02:19:20 PM UTC 2026
% Result : Theorem 0.10s 0.41s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 7 unt; 0 def)
% Number of atoms : 21 ( 11 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 15 ( 8 ~; 2 |; 2 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 16 ( 14 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f25,lemma,
! [A,B] :
( subset(A,B)
=> set_union2(A,B) = B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f38,lemma,
! [A,B] : set_union2(A,set_difference(B,A)) = set_union2(A,B),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,conjecture,
! [A,B] :
( subset(A,B)
=> B = set_union2(A,set_difference(B,A)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44,negated_conjecture,
~ ! [A,B] :
( subset(A,B)
=> B = set_union2(A,set_difference(B,A)) ),
inference(negated_conjecture,[status(cth)],[f43]) ).
fof(f127,plain,
! [A,B] :
( set_union2(A,B) = B
| ~ subset(A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f25]) ).
fof(f128,plain,
! [X0,X1] :
( set_union2(X0,X1) = X1
| ~ subset(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f127]) ).
fof(f156,plain,
! [X0,X1] : set_union2(X0,set_difference(X1,X0)) = set_union2(X0,X1),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f167,plain,
? [A,B] :
( B != set_union2(A,set_difference(B,A))
& subset(A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f44]) ).
fof(f168,plain,
( sK10_skl != set_union2(sK9_skl,set_difference(sK10_skl,sK9_skl))
& subset(sK9_skl,sK10_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9_skl,sK10_skl]),skolemize(A,sK9_skl),skolemize(B,sK10_skl)],[f167]) ).
fof(f169,plain,
subset(sK9_skl,sK10_skl),
inference(cnf_transformation,[status(thm)],[f168]) ).
fof(f170,plain,
sK10_skl != set_union2(sK9_skl,set_difference(sK10_skl,sK9_skl)),
inference(cnf_transformation,[status(thm)],[f168]) ).
fof(f579,plain,
sK10_skl != set_union2(sK9_skl,sK10_skl),
inference(backward_demodulation,[status(thm)],[f156,f170]) ).
fof(f597,plain,
~ subset(sK9_skl,sK10_skl),
inference(resolution,[status(thm)],[f579,f128]) ).
fof(f598,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f597,f169]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU137+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n005.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 05:52:17 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.41 % Refutation found
% 0.10/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.44 % Elapsed time: 0.059194 seconds
% 0.10/0.44 % CPU time: 0.187038 seconds
% 0.10/0.44 % Total memory used: 101.398 MB
% 0.10/0.44 % Net memory used: 101.185 MB
%------------------------------------------------------------------------------