%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : COL036-1 : 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 : n017.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 10:52:12 AM UTC 2025
% Result : Unsatisfiable 238.32s 30.25s
% Output : CNFRefutation 238.32s
% 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,apply(apply(s,apply(s,t)),apply(s,t))),b),f(apply(apply(b,apply(apply(s,apply(s,t)),apply(s,t))),b))) != apply(f(apply(apply(b,apply(apply(s,apply(s,t)),apply(s,t))),b)),apply(apply(apply(b,apply(apply(s,apply(s,t)),apply(s,t))),b),f(apply(apply(b,apply(apply(s,apply(s,t)),apply(s,t))),b)))),
inference(instantiation,[status(thm)],[3]) ).
cnf(2,plain,
apply(apply(t,X0),X1) = apply(X1,X0),
inference(cnf,[status(esa)],[t_definition]) ).
cnf(l5,plain,
apply(apply(t,f(apply(apply(b,apply(apply(s,apply(s,t)),apply(s,t))),b))),apply(apply(b,apply(apply(s,apply(s,t)),apply(s,t))),b)) = apply(apply(apply(b,apply(apply(s,apply(s,t)),apply(s,t))),b),f(apply(apply(b,apply(apply(s,apply(s,t)),apply(s,t))),b))),
inference(instantiation,[status(thm)],[2]) ).
cnf(0,plain,
apply(apply(apply(s,X0),X1),X2) = apply(apply(X0,X2),apply(X1,X2)),
inference(cnf,[status(esa)],[s_definition]) ).
cnf(l43,plain,
apply(apply(apply(s,apply(s,t)),apply(s,t)),apply(b,f(apply(apply(b,apply(apply(s,apply(s,t)),apply(s,t))),b)))) = apply(apply(apply(s,t),apply(b,f(apply(apply(b,apply(apply(s,apply(s,t)),apply(s,t))),b)))),apply(apply(s,t),apply(b,f(apply(apply(b,apply(apply(s,apply(s,t)),apply(s,t))),b))))),
inference(instantiation,[status(thm)],[0]) ).
cnf(l82,plain,
apply(apply(t,f(apply(apply(b,apply(apply(s,apply(s,t)),apply(s,t))),b))),apply(apply(b,apply(apply(s,apply(s,t)),apply(s,t))),b)) = apply(apply(apply(b,apply(apply(s,apply(s,t)),apply(s,t))),b),f(apply(apply(b,apply(apply(s,apply(s,t)),apply(s,t))),b))),
inference(instantiation,[status(thm)],[2]) ).
cnf(1,plain,
apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2)),
inference(cnf,[status(esa)],[b_definition]) ).
cnf(l28,plain,
apply(apply(apply(b,apply(apply(s,apply(s,t)),apply(s,t))),b),f(apply(apply(b,apply(apply(s,apply(s,t)),apply(s,t))),b))) = apply(apply(apply(s,apply(s,t)),apply(s,t)),apply(b,f(apply(apply(b,apply(apply(s,apply(s,t)),apply(s,t))),b)))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l77,plain,
apply(apply(apply(s,t),apply(b,f(apply(apply(b,apply(apply(s,apply(s,t)),apply(s,t))),b)))),apply(apply(s,t),apply(b,f(apply(apply(b,apply(apply(s,apply(s,t)),apply(s,t))),b))))) = apply(apply(t,apply(apply(s,t),apply(b,f(apply(apply(b,apply(apply(s,apply(s,t)),apply(s,t))),b))))),apply(apply(b,f(apply(apply(b,apply(apply(s,apply(s,t)),apply(s,t))),b))),apply(apply(s,t),apply(b,f(apply(apply(b,apply(apply(s,apply(s,t)),apply(s,t))),b)))))),
inference(instantiation,[status(thm)],[0]) ).
cnf(l64,plain,
apply(apply(apply(b,f(apply(apply(b,apply(apply(s,apply(s,t)),apply(s,t))),b))),apply(apply(s,t),apply(b,f(apply(apply(b,apply(apply(s,apply(s,t)),apply(s,t))),b))))),apply(apply(s,t),apply(b,f(apply(apply(b,apply(apply(s,apply(s,t)),apply(s,t))),b))))) = apply(f(apply(apply(b,apply(apply(s,apply(s,t)),apply(s,t))),b)),apply(apply(apply(s,t),apply(b,f(apply(apply(b,apply(apply(s,apply(s,t)),apply(s,t))),b)))),apply(apply(s,t),apply(b,f(apply(apply(b,apply(apply(s,apply(s,t)),apply(s,t))),b)))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l78,plain,
apply(apply(apply(s,apply(s,t)),apply(s,t)),apply(b,f(apply(apply(b,apply(apply(s,apply(s,t)),apply(s,t))),b)))) = apply(apply(apply(s,t),apply(b,f(apply(apply(b,apply(apply(s,apply(s,t)),apply(s,t))),b)))),apply(apply(s,t),apply(b,f(apply(apply(b,apply(apply(s,apply(s,t)),apply(s,t))),b))))),
inference(instantiation,[status(thm)],[0]) ).
cnf(l81,plain,
apply(apply(apply(b,apply(apply(s,apply(s,t)),apply(s,t))),b),f(apply(apply(b,apply(apply(s,apply(s,t)),apply(s,t))),b))) = apply(apply(apply(s,apply(s,t)),apply(s,t)),apply(b,f(apply(apply(b,apply(apply(s,apply(s,t)),apply(s,t))),b)))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l62,plain,
apply(apply(t,apply(apply(s,t),apply(b,f(apply(apply(b,apply(apply(s,apply(s,t)),apply(s,t))),b))))),apply(apply(b,f(apply(apply(b,apply(apply(s,apply(s,t)),apply(s,t))),b))),apply(apply(s,t),apply(b,f(apply(apply(b,apply(apply(s,apply(s,t)),apply(s,t))),b)))))) = apply(apply(apply(b,f(apply(apply(b,apply(apply(s,apply(s,t)),apply(s,t))),b))),apply(apply(s,t),apply(b,f(apply(apply(b,apply(apply(s,apply(s,t)),apply(s,t))),b))))),apply(apply(s,t),apply(b,f(apply(apply(b,apply(apply(s,apply(s,t)),apply(s,t))),b))))),
inference(instantiation,[status(thm)],[2]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l5,l43,l82,l28,l77,l64,l78,l81,l62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : COL036-1 : TPTP v9.0.0. Released v1.0.0.
% 0.06/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n017.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun Jul 20 05:41:49 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 1
% 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: 4
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.35 % launching worker at depth: 11
% 27.11/3.79 % launching worker at depth: 12
% 238.32/30.25 % SZS status Theorem for theBenchmark
% 238.32/30.25 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------