%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : COL041-1 : TPTP v9.0.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n027.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 : Thu Jul 24 10:52:13 AM UTC 2025
% Result : Unsatisfiable 7.82s 1.32s
% Output : CNFRefutation 7.82s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_fixed_point)
% Comments :
%------------------------------------------------------------------------------
cnf(3,plain,
apply(X0,f(X0)) != apply(f(X0),apply(X0,f(X0))),
inference(cnf,[status(esa)],[prove_fixed_point]) ).
cnf(l0,plain,
apply(apply(apply(b,m),apply(c,apply(c,apply(apply(c,b),m)))),f(apply(apply(b,m),apply(c,apply(c,apply(apply(c,b),m)))))) != apply(f(apply(apply(b,m),apply(c,apply(c,apply(apply(c,b),m))))),apply(apply(apply(b,m),apply(c,apply(c,apply(apply(c,b),m)))),f(apply(apply(b,m),apply(c,apply(c,apply(apply(c,b),m))))))),
inference(instantiation,[status(thm)],[3]) ).
cnf(0,plain,
apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2)),
inference(cnf,[status(esa)],[b_definition]) ).
cnf(l21,plain,
apply(apply(apply(b,f(apply(apply(b,m),apply(c,apply(c,apply(apply(c,b),m)))))),m),apply(apply(c,apply(c,apply(apply(c,b),m))),f(apply(apply(b,m),apply(c,apply(c,apply(apply(c,b),m))))))) = apply(f(apply(apply(b,m),apply(c,apply(c,apply(apply(c,b),m))))),apply(m,apply(apply(c,apply(c,apply(apply(c,b),m))),f(apply(apply(b,m),apply(c,apply(c,apply(apply(c,b),m)))))))),
inference(instantiation,[status(thm)],[0]) ).
cnf(l22,plain,
apply(apply(apply(b,m),apply(c,apply(c,apply(apply(c,b),m)))),f(apply(apply(b,m),apply(c,apply(c,apply(apply(c,b),m)))))) = apply(m,apply(apply(c,apply(c,apply(apply(c,b),m))),f(apply(apply(b,m),apply(c,apply(c,apply(apply(c,b),m))))))),
inference(instantiation,[status(thm)],[0]) ).
cnf(1,plain,
apply(m,X0) = apply(X0,X0),
inference(cnf,[status(esa)],[m_definition]) ).
cnf(l16,plain,
apply(m,apply(apply(c,apply(c,apply(apply(c,b),m))),f(apply(apply(b,m),apply(c,apply(c,apply(apply(c,b),m))))))) = apply(apply(apply(c,apply(c,apply(apply(c,b),m))),f(apply(apply(b,m),apply(c,apply(c,apply(apply(c,b),m)))))),apply(apply(c,apply(c,apply(apply(c,b),m))),f(apply(apply(b,m),apply(c,apply(c,apply(apply(c,b),m))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l4,plain,
apply(apply(apply(b,m),apply(c,apply(c,apply(apply(c,b),m)))),f(apply(apply(b,m),apply(c,apply(c,apply(apply(c,b),m)))))) = apply(m,apply(apply(c,apply(c,apply(apply(c,b),m))),f(apply(apply(b,m),apply(c,apply(c,apply(apply(c,b),m))))))),
inference(instantiation,[status(thm)],[0]) ).
cnf(2,plain,
apply(apply(apply(c,X0),X1),X2) = apply(apply(X0,X2),X1),
inference(cnf,[status(esa)],[c_definition]) ).
cnf(l15,plain,
apply(apply(apply(c,apply(c,apply(apply(c,b),m))),f(apply(apply(b,m),apply(c,apply(c,apply(apply(c,b),m)))))),apply(apply(c,apply(c,apply(apply(c,b),m))),f(apply(apply(b,m),apply(c,apply(c,apply(apply(c,b),m))))))) = apply(apply(apply(c,apply(apply(c,b),m)),apply(apply(c,apply(c,apply(apply(c,b),m))),f(apply(apply(b,m),apply(c,apply(c,apply(apply(c,b),m))))))),f(apply(apply(b,m),apply(c,apply(c,apply(apply(c,b),m)))))),
inference(instantiation,[status(thm)],[2]) ).
cnf(l6,plain,
apply(apply(apply(c,apply(apply(c,b),m)),apply(apply(c,apply(c,apply(apply(c,b),m))),f(apply(apply(b,m),apply(c,apply(c,apply(apply(c,b),m))))))),f(apply(apply(b,m),apply(c,apply(c,apply(apply(c,b),m)))))) = apply(apply(apply(apply(c,b),m),f(apply(apply(b,m),apply(c,apply(c,apply(apply(c,b),m)))))),apply(apply(c,apply(c,apply(apply(c,b),m))),f(apply(apply(b,m),apply(c,apply(c,apply(apply(c,b),m))))))),
inference(instantiation,[status(thm)],[2]) ).
cnf(l10,plain,
apply(apply(apply(c,b),m),f(apply(apply(b,m),apply(c,apply(c,apply(apply(c,b),m)))))) = apply(apply(b,f(apply(apply(b,m),apply(c,apply(c,apply(apply(c,b),m)))))),m),
inference(instantiation,[status(thm)],[2]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l21,l22,l16,l4,l15,l6,l10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : COL041-1 : TPTP v9.0.0. Released v1.0.0.
% 0.07/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34 % Computer : n027.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun Jul 20 05:42:04 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % launching worker at depth: 1
% 0.14/0.35 % launching worker at depth: 3
% 0.14/0.35 % launching worker at depth: 5
% 0.14/0.35 % launching worker at depth: 4
% 0.14/0.35 % launching worker at depth: 6
% 0.14/0.35 % launching worker at depth: 2
% 0.14/0.35 % launching worker at depth: 7
% 0.14/0.35 % launching worker at depth: 8
% 0.14/0.35 % launching worker at depth: 9
% 0.14/0.35 % launching worker at depth: 10
% 0.14/0.36 % launching worker at depth: 11
% 7.82/1.32 % SZS status Theorem for theBenchmark
% 7.82/1.32 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------