%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : COL003-19 : TPTP v9.0.0. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 10:52:07 AM UTC 2025
% Result : Unsatisfiable 97.04s 12.54s
% Output : CNFRefutation 97.04s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_strong_fixed_point)
% Comments :
%------------------------------------------------------------------------------
cnf(3,plain,
apply(strong_fixed_point,fixed_pt) != apply(fixed_pt,apply(strong_fixed_point,fixed_pt)),
inference(cnf,[status(esa)],[prove_strong_fixed_point]) ).
cnf(l0,plain,
apply(strong_fixed_point,fixed_pt) != apply(fixed_pt,apply(strong_fixed_point,fixed_pt)),
inference(instantiation,[status(thm)],[3]) ).
cnf(1,plain,
apply(apply(w,X0),X1) = apply(apply(X0,X1),X1),
inference(cnf,[status(esa)],[w_definition]) ).
cnf(l11,plain,
apply(apply(w,apply(apply(b,apply(b,fixed_pt)),apply(apply(apply(b,apply(b,w)),b),apply(b,fixed_pt)))),apply(apply(apply(b,apply(b,w)),b),apply(b,fixed_pt))) = apply(apply(apply(apply(b,apply(b,fixed_pt)),apply(apply(apply(b,apply(b,w)),b),apply(b,fixed_pt))),apply(apply(apply(b,apply(b,w)),b),apply(b,fixed_pt))),apply(apply(apply(b,apply(b,w)),b),apply(b,fixed_pt))),
inference(instantiation,[status(thm)],[1]) ).
cnf(2,plain,
strong_fixed_point = apply(apply(b,apply(apply(b,apply(w,w)),apply(apply(b,apply(b,w)),b))),b),
inference(cnf,[status(esa)],[strong_fixed_point]) ).
cnf(l7,plain,
strong_fixed_point = apply(apply(b,apply(apply(b,apply(w,w)),apply(apply(b,apply(b,w)),b))),b),
inference(instantiation,[status(thm)],[2]) ).
cnf(0,plain,
apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2)),
inference(cnf,[status(esa)],[b_definition]) ).
cnf(l341,plain,
apply(apply(apply(b,apply(apply(b,apply(w,w)),apply(apply(b,apply(b,w)),b))),b),fixed_pt) = apply(apply(apply(b,apply(w,w)),apply(apply(b,apply(b,w)),b)),apply(b,fixed_pt)),
inference(instantiation,[status(thm)],[0]) ).
cnf(l338,plain,
apply(apply(w,w),apply(apply(apply(b,apply(b,w)),b),apply(b,fixed_pt))) = apply(apply(w,apply(apply(apply(b,apply(b,w)),b),apply(b,fixed_pt))),apply(apply(apply(b,apply(b,w)),b),apply(b,fixed_pt))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l258,plain,
strong_fixed_point = apply(apply(b,apply(apply(b,apply(w,w)),apply(apply(b,apply(b,w)),b))),b),
inference(instantiation,[status(thm)],[2]) ).
cnf(l278,plain,
apply(apply(w,apply(apply(apply(b,apply(b,w)),b),apply(b,fixed_pt))),apply(apply(apply(b,apply(b,w)),b),apply(b,fixed_pt))) = apply(apply(apply(apply(apply(b,apply(b,w)),b),apply(b,fixed_pt)),apply(apply(apply(b,apply(b,w)),b),apply(b,fixed_pt))),apply(apply(apply(b,apply(b,w)),b),apply(b,fixed_pt))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l318,plain,
apply(apply(apply(b,fixed_pt),apply(apply(apply(apply(b,apply(b,w)),b),apply(b,fixed_pt)),apply(apply(apply(b,apply(b,w)),b),apply(b,fixed_pt)))),apply(apply(apply(b,apply(b,w)),b),apply(b,fixed_pt))) = apply(fixed_pt,apply(apply(apply(apply(apply(b,apply(b,w)),b),apply(b,fixed_pt)),apply(apply(apply(b,apply(b,w)),b),apply(b,fixed_pt))),apply(apply(apply(b,apply(b,w)),b),apply(b,fixed_pt)))),
inference(instantiation,[status(thm)],[0]) ).
cnf(l340,plain,
apply(apply(apply(b,apply(w,w)),apply(apply(b,apply(b,w)),b)),apply(b,fixed_pt)) = apply(apply(w,w),apply(apply(apply(b,apply(b,w)),b),apply(b,fixed_pt))),
inference(instantiation,[status(thm)],[0]) ).
cnf(l306,plain,
apply(apply(apply(b,apply(b,fixed_pt)),apply(apply(apply(b,apply(b,w)),b),apply(b,fixed_pt))),apply(apply(apply(b,apply(b,w)),b),apply(b,fixed_pt))) = apply(apply(b,fixed_pt),apply(apply(apply(apply(b,apply(b,w)),b),apply(b,fixed_pt)),apply(apply(apply(b,apply(b,w)),b),apply(b,fixed_pt)))),
inference(instantiation,[status(thm)],[0]) ).
cnf(l57,plain,
apply(apply(apply(b,b),apply(b,apply(w,w))),apply(apply(b,apply(b,w)),b)) = apply(b,apply(apply(b,apply(w,w)),apply(apply(b,apply(b,w)),b))),
inference(instantiation,[status(thm)],[0]) ).
cnf(l212,plain,
apply(apply(apply(b,w),apply(b,apply(b,fixed_pt))),apply(apply(apply(b,apply(b,w)),b),apply(b,fixed_pt))) = apply(w,apply(apply(b,apply(b,fixed_pt)),apply(apply(apply(b,apply(b,w)),b),apply(b,fixed_pt)))),
inference(instantiation,[status(thm)],[0]) ).
cnf(l217,plain,
apply(apply(apply(b,b),apply(b,apply(w,w))),apply(apply(b,apply(b,w)),b)) = apply(b,apply(apply(b,apply(w,w)),apply(apply(b,apply(b,w)),b))),
inference(instantiation,[status(thm)],[0]) ).
cnf(l224,plain,
apply(apply(apply(b,apply(apply(b,apply(w,w)),apply(apply(b,apply(b,w)),b))),b),fixed_pt) = apply(apply(apply(b,apply(w,w)),apply(apply(b,apply(b,w)),b)),apply(b,fixed_pt)),
inference(instantiation,[status(thm)],[0]) ).
cnf(l223,plain,
apply(apply(apply(b,apply(w,w)),apply(apply(b,apply(b,w)),b)),apply(b,fixed_pt)) = apply(apply(w,w),apply(apply(apply(b,apply(b,w)),b),apply(b,fixed_pt))),
inference(instantiation,[status(thm)],[0]) ).
cnf(l219,plain,
apply(apply(apply(b,apply(b,w)),b),apply(b,fixed_pt)) = apply(apply(b,w),apply(b,apply(b,fixed_pt))),
inference(instantiation,[status(thm)],[0]) ).
cnf(l234,plain,
apply(apply(w,apply(apply(apply(b,apply(b,w)),b),apply(b,fixed_pt))),apply(apply(apply(b,apply(b,w)),b),apply(b,fixed_pt))) = apply(apply(apply(apply(apply(b,apply(b,w)),b),apply(b,fixed_pt)),apply(apply(apply(b,apply(b,w)),b),apply(b,fixed_pt))),apply(apply(apply(b,apply(b,w)),b),apply(b,fixed_pt))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l233,plain,
apply(apply(w,w),apply(apply(apply(b,apply(b,w)),b),apply(b,fixed_pt))) = apply(apply(w,apply(apply(apply(b,apply(b,w)),b),apply(b,fixed_pt))),apply(apply(apply(b,apply(b,w)),b),apply(b,fixed_pt))),
inference(instantiation,[status(thm)],[1]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l11,l7,l341,l338,l258,l278,l318,l340,l306,l57,l212,l217,l224,l223,l219,l234,l233]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.12 % Problem : COL003-19 : TPTP v9.0.0. Released v2.1.0.
% 0.02/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n019.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 : Sun Jul 20 05:37:34 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 2
% 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: 1
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.34 % launching worker at depth: 11
% 0.19/0.39 % launching worker at depth: 12
% 3.62/0.80 % launching worker at depth: 13
% 97.04/12.54 % SZS status Theorem for theBenchmark
% 97.04/12.54 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------