%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET085-7 : 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 : n023.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 03:31:29 PM UTC 2025
% Result : Unsatisfiable 174.62s 22.27s
% Output : CNFRefutation 174.62s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_singleton_in_unordered_pair3_1)
% Comments :
%------------------------------------------------------------------------------
cnf(128,plain,
unordered_pair(y,z) = singleton(x),
inference(cnf,[status(esa)],[prove_singleton_in_unordered_pair3_1]) ).
cnf(l0,plain,
unordered_pair(y,z) = singleton(x),
inference(instantiation,[status(thm)],[128]) ).
cnf(121,plain,
( ~ member(X0,universal_class)
| member(X0,singleton(X0)) ),
inference(cnf,[status(esa)],[set_in_its_singleton]) ).
cnf(l14,plain,
( ~ member(x,universal_class)
| member(x,singleton(x)) ),
inference(instantiation,[status(thm)],[121]) ).
cnf(129,plain,
member(x,universal_class),
inference(cnf,[status(esa)],[prove_singleton_in_unordered_pair3_2]) ).
cnf(l98,plain,
member(x,universal_class),
inference(instantiation,[status(thm)],[129]) ).
cnf(7,plain,
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
inference(cnf,[status(esa)],[unordered_pair_member]) ).
cnf(l3,plain,
( ~ member(x,unordered_pair(y,z))
| x = y
| x = z ),
inference(instantiation,[status(thm)],[7]) ).
cnf(130,plain,
x != y,
inference(cnf,[status(esa)],[prove_singleton_in_unordered_pair3_3]) ).
cnf(l4,plain,
x != y,
inference(instantiation,[status(thm)],[130]) ).
cnf(131,plain,
x != z,
inference(cnf,[status(esa)],[prove_singleton_in_unordered_pair3_4]) ).
cnf(l6,plain,
x != z,
inference(instantiation,[status(thm)],[131]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l14,l98,l3,l4,l6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET085-7 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Jul 21 19:46:34 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % launching worker at depth: 4
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 5
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.38 % launching worker at depth: 10
% 10.82/1.77 % launching worker at depth: 11
% 174.62/22.27 % SZS status Theorem for theBenchmark
% 174.62/22.27 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------