%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : COL002-5 : TPTP v9.0.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n024.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 10:52:06 AM UTC 2025
% Result : Unsatisfiable 0.19s 0.39s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_weak_fixed_point)
% Comments :
%------------------------------------------------------------------------------
cnf(5,plain,
weak_fixed_point(fixed_pt) != apply(fixed_pt,weak_fixed_point(fixed_pt)),
inference(cnf,[status(esa)],[prove_weak_fixed_point]) ).
cnf(l0,plain,
weak_fixed_point(fixed_pt) != apply(fixed_pt,weak_fixed_point(fixed_pt)),
inference(instantiation,[status(thm)],[5]) ).
cnf(4,plain,
weak_fixed_point(X0) = apply(apply(apply(s,apply(c,apply(b,X0))),apply(s,apply(c,apply(b,X0)))),apply(s,apply(c,apply(b,X0)))),
inference(cnf,[status(esa)],[weak_fixed_point]) ).
cnf(l12,plain,
weak_fixed_point(fixed_pt) = apply(apply(apply(s,apply(c,apply(b,fixed_pt))),apply(s,apply(c,apply(b,fixed_pt)))),apply(s,apply(c,apply(b,fixed_pt)))),
inference(instantiation,[status(thm)],[4]) ).
cnf(l9,plain,
weak_fixed_point(fixed_pt) = apply(apply(apply(s,apply(c,apply(b,fixed_pt))),apply(s,apply(c,apply(b,fixed_pt)))),apply(s,apply(c,apply(b,fixed_pt)))),
inference(instantiation,[status(thm)],[4]) ).
cnf(0,plain,
apply(apply(apply(s,X0),X1),X2) = apply(apply(X0,X2),apply(X1,X2)),
inference(cnf,[status(esa)],[s_definition]) ).
cnf(l11,plain,
apply(apply(apply(s,apply(c,apply(b,fixed_pt))),apply(s,apply(c,apply(b,fixed_pt)))),apply(s,apply(c,apply(b,fixed_pt)))) = apply(apply(apply(c,apply(b,fixed_pt)),apply(s,apply(c,apply(b,fixed_pt)))),apply(apply(s,apply(c,apply(b,fixed_pt))),apply(s,apply(c,apply(b,fixed_pt))))),
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(b,fixed_pt)),apply(s,apply(c,apply(b,fixed_pt)))),apply(apply(s,apply(c,apply(b,fixed_pt))),apply(s,apply(c,apply(b,fixed_pt))))) = apply(apply(apply(b,fixed_pt),apply(apply(s,apply(c,apply(b,fixed_pt))),apply(s,apply(c,apply(b,fixed_pt))))),apply(s,apply(c,apply(b,fixed_pt)))),
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(l14,plain,
apply(apply(apply(b,fixed_pt),apply(apply(s,apply(c,apply(b,fixed_pt))),apply(s,apply(c,apply(b,fixed_pt))))),apply(s,apply(c,apply(b,fixed_pt)))) = apply(fixed_pt,apply(apply(apply(s,apply(c,apply(b,fixed_pt))),apply(s,apply(c,apply(b,fixed_pt)))),apply(s,apply(c,apply(b,fixed_pt))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l12,l9,l11,l15,l14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : COL002-5 : TPTP v9.0.0. Bugfixed v3.1.0.
% 0.03/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n024.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 : Sun Jul 20 05:36:19 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.34 % launching worker at depth: 9
% 0.13/0.34 % launching worker at depth: 10
% 0.13/0.35 % launching worker at depth: 11
% 0.19/0.39 % SZS status Theorem for theBenchmark
% 0.19/0.39 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------