%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : COL002-10 : TPTP v9.0.0. Released v7.5.0.
% 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 119.66s 15.36s
% Output : CNFRefutation 119.66s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_weak_fixed_point)
% Comments :
%------------------------------------------------------------------------------
cnf(6,plain,
fixed_point(apply(apply(apply(s,apply(b,X0)),i),apply(apply(s,apply(b,X0)),i))) != true,
inference(cnf,[status(esa)],[prove_weak_fixed_point]) ).
cnf(l0,plain,
fixed_point(apply(apply(apply(s,apply(b,fixed_pt)),i),apply(apply(s,apply(b,fixed_pt)),i))) != true,
inference(instantiation,[status(thm)],[6]) ).
cnf(0,plain,
ifeq(X0,X0,X1,X2) = X1,
inference(cnf,[status(esa)],[ifeq_axiom]) ).
cnf(l4,plain,
ifeq(apply(apply(apply(b,fixed_pt),apply(apply(s,apply(b,fixed_pt)),i)),apply(apply(s,apply(b,fixed_pt)),i)),apply(apply(apply(b,fixed_pt),apply(apply(s,apply(b,fixed_pt)),i)),apply(apply(s,apply(b,fixed_pt)),i)),fixed_point(apply(apply(apply(s,apply(b,fixed_pt)),i),apply(apply(s,apply(b,fixed_pt)),i))),true) = fixed_point(apply(apply(apply(s,apply(b,fixed_pt)),i),apply(apply(s,apply(b,fixed_pt)),i))),
inference(instantiation,[status(thm)],[0]) ).
cnf(5,plain,
ifeq(X0,apply(fixed_pt,X0),fixed_point(X0),true) = true,
inference(cnf,[status(esa)],[weak_fixed_point]) ).
cnf(l9,plain,
ifeq(apply(apply(apply(s,apply(b,fixed_pt)),i),apply(apply(s,apply(b,fixed_pt)),i)),apply(fixed_pt,apply(apply(apply(s,apply(b,fixed_pt)),i),apply(apply(s,apply(b,fixed_pt)),i))),fixed_point(apply(apply(apply(s,apply(b,fixed_pt)),i),apply(apply(s,apply(b,fixed_pt)),i))),true) = true,
inference(instantiation,[status(thm)],[5]) ).
cnf(1,plain,
apply(apply(apply(s,X0),X1),X2) = apply(apply(X0,X2),apply(X1,X2)),
inference(cnf,[status(esa)],[s_definition]) ).
cnf(l8,plain,
apply(apply(apply(s,apply(b,fixed_pt)),i),apply(apply(s,apply(b,fixed_pt)),i)) = apply(apply(apply(b,fixed_pt),apply(apply(s,apply(b,fixed_pt)),i)),apply(i,apply(apply(s,apply(b,fixed_pt)),i))),
inference(instantiation,[status(thm)],[1]) ).
cnf(4,plain,
apply(i,X0) = X0,
inference(cnf,[status(esa)],[i_definition]) ).
cnf(l70,plain,
apply(i,apply(apply(s,apply(b,fixed_pt)),i)) = apply(apply(s,apply(b,fixed_pt)),i),
inference(instantiation,[status(thm)],[4]) ).
cnf(2,plain,
apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2)),
inference(cnf,[status(esa)],[b_definition]) ).
cnf(l71,plain,
apply(apply(apply(b,fixed_pt),apply(apply(s,apply(b,fixed_pt)),i)),apply(apply(s,apply(b,fixed_pt)),i)) = apply(fixed_pt,apply(apply(apply(s,apply(b,fixed_pt)),i),apply(apply(s,apply(b,fixed_pt)),i))),
inference(instantiation,[status(thm)],[2]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l4,l9,l8,l70,l71]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : COL002-10 : TPTP v9.0.0. Released v7.5.0.
% 0.03/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % 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 05:35:49 EDT 2025
% 0.12/0.34 % CPUTime :
% 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: 3
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 6
% 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
% 0.12/0.35 % launching worker at depth: 11
% 3.53/0.83 % launching worker at depth: 12
% 119.66/15.36 % SZS status Theorem for theBenchmark
% 119.66/15.36 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------