%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SEU137+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n018.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 : Fri Sep 25 02:51:03 PM UTC 2026
% Result : Theorem 12.55s 4.80s
% Output : Proof 12.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 7 unt; 0 def)
% Number of atoms : 15 ( 10 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 5 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 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 : 14 ( 0 sgn 10 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f37,lemma,
! [A,B] : set_union2(A,set_difference(B,A)) = set_union2(A,B),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t39_xboole_1) ).
fof(f37_nnf,plain,
! [A,B] : set_union2(A,set_difference(B,A)) = set_union2(A,B),
inference(nnf_transformation,[status(thm)],[f37]) ).
fof(f37_sk,plain,
! [A,B] : set_union2(A,set_difference(B,A)) = set_union2(A,B),
inference(skolemisation,[status(esa)],[f37_nnf]) ).
cnf(c72,plain,
set_union2(X0,set_difference(X1,X0)) = set_union2(X0,X1),
inference(cnf_transformation,[status(esa)],[f37_sk]) ).
fof(f42,conjecture,
! [A,B] :
( subset(A,B)
=> B = set_union2(A,set_difference(B,A)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t45_xboole_1) ).
fof(f42_neg,negated_conjecture,
~ ! [A,B] :
( subset(A,B)
=> B = set_union2(A,set_difference(B,A)) ),
inference(negated_conjecture,[status(cth)],[f42]) ).
fof(f42_nnf,plain,
? [A,B] :
( B != set_union2(A,set_difference(B,A))
& subset(A,B) ),
inference(nnf_transformation,[status(thm)],[f42_neg]) ).
fof(f42_sk,plain,
( sk10 != set_union2(sk9,set_difference(sk10,sk9))
& subset(sk9,sk10) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk9,sk10])],[f42_nnf]) ).
cnf(c80,plain,
sk10 != set_union2(sk9,set_difference(sk10,sk9)),
inference(cnf_transformation,[status(esa)],[f42_sk]) ).
cnf(p621,plain,
sk10 != sk10,
inference(superposition,[status(thm)],[c72,c80]) ).
cnf(p636,plain,
$false,
inference(equality_resolution,[status(thm)],[p621]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU137+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/0.35 % Computer : n018.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
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Thu Sep 24 12:55:49 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 12.55/4.80 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.55/4.80 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------