%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET094-6 : TPTP v9.0.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Jul 25 03:31:31 PM UTC 2025
% Result : Unsatisfiable 206.93s 26.33s
% Output : CNFRefutation 206.93s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_property_of_singletons1_2)
% Comments :
%------------------------------------------------------------------------------
cnf(92,plain,
member(y,x),
inference(cnf,[status(esa)],[prove_property_of_singletons1_2]) ).
cnf(l0,plain,
member(y,x),
inference(instantiation,[status(thm)],[92]) ).
cnf(0,plain,
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
inference(cnf,[status(esa)],[subclass_members]) ).
cnf(l1,plain,
( ~ subclass(x,unordered_pair(member_of(x),member_of(x)))
| ~ member(y,x)
| member(y,unordered_pair(member_of(x),member_of(x))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(5,plain,
( X0 != X1
| subclass(X1,X0) ),
inference(cnf,[status(esa)],[equal_implies_subclass2]) ).
cnf(l32,plain,
( unordered_pair(member_of(x),member_of(x)) != x
| subclass(x,unordered_pair(member_of(x),member_of(x))) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(91,plain,
singleton(member_of(x)) = x,
inference(cnf,[status(esa)],[prove_property_of_singletons1_1]) ).
cnf(l57,plain,
singleton(member_of(x)) = x,
inference(instantiation,[status(thm)],[91]) ).
cnf(11,plain,
unordered_pair(X0,X0) = singleton(X0),
inference(cnf,[status(esa)],[singleton_set]) ).
cnf(l55,plain,
unordered_pair(member_of(x),member_of(x)) = singleton(member_of(x)),
inference(instantiation,[status(thm)],[11]) ).
cnf(7,plain,
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
inference(cnf,[status(esa)],[unordered_pair_member]) ).
cnf(l6,plain,
( ~ member(y,unordered_pair(member_of(x),member_of(x)))
| y = member_of(x)
| y = member_of(x) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(93,plain,
member_of(x) != y,
inference(cnf,[status(esa)],[prove_property_of_singletons1_3]) ).
cnf(l21,plain,
member_of(x) != y,
inference(instantiation,[status(thm)],[93]) ).
cnf(l89,plain,
member_of(x) != y,
inference(instantiation,[status(thm)],[93]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l32,l57,l55,l6,l21,l89]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SET094-6 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.06/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Jul 21 19:51:34 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 9
% 0.18/0.40 % launching worker at depth: 10
% 2.90/0.75 % launching worker at depth: 11
% 206.93/26.33 % SZS status Theorem for theBenchmark
% 206.93/26.33 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------