%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET094-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.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 : Sun Sep 27 08:32:00 AM UTC 2026
% Result : Unsatisfiable 16.80s 2.57s
% Output : CNFRefutation 16.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of clauses : 12 ( 9 unt; 0 nHn; 12 RR)
% Number of literals : 15 ( 9 equ; 6 neg)
% Maximal clause size : 2 ( 1 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; 0-1 aty)
% Number of variables : 5 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(only_member_in_singleton,axiom,
( X0 = X1
| ~ member(X0,singleton(X1)) ) ).
cnf(prove_property_of_singletons1_1,negated_conjecture,
singleton('member$uof'(x)) = x ).
cnf(prove_property_of_singletons1_2,negated_conjecture,
member(y,x) ).
cnf(prove_property_of_singletons1_3,negated_conjecture,
'member$uof'(x) != y ).
cnf(c33,plain,
( X0 = X1
| ~ member(X0,singleton(X1)) ),
inference(clausification,[status(esa)],[only_member_in_singleton]) ).
cnf(c46,plain,
singleton('member$uof'(x)) = x,
inference(clausification,[status(esa)],[prove_property_of_singletons1_1]) ).
cnf(c47,plain,
member(y,x),
inference(clausification,[status(esa)],[prove_property_of_singletons1_2]) ).
cnf(c48,plain,
'member$uof'(x) != y,
inference(clausification,[status(esa)],[prove_property_of_singletons1_3]) ).
cnf(d0,plain,
( X0 = 'member$uof'(x)
| ~ member(X0,x) ),
inference(superposition,[status(thm)],[c46,c33]) ).
cnf(d1,plain,
y = 'member$uof'(x),
inference(resolution,[status(thm)],[d0,c47]) ).
cnf(d2,plain,
y != y,
inference(demodulation,[status(thm)],[c48,d1]) ).
cnf(d3,plain,
$false,
inference(equality_resolution,[status(thm)],[d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET094-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n015.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 : Sat Sep 26 07:09:43 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.80/2.57 % SZS status Unsatisfiable for theBenchmark.p
% 16.80/2.57 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------