%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : LCL013-1 : TPTP v9.3.1. 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 : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 12:13:02 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_umERROR: Could not build tree for root finalERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(2,plain,
~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(b,equivalent(c,a)))),
inference(cnf,[status(esa)],[prove_um]) ).
cnf(l0,plain,
~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(b,equivalent(c,a)))),
inference(instantiation,[status(thm)],[2]) ).
cnf(0,plain,
( ~ is_a_theorem(X0)
| ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(X1) ),
inference(cnf,[status(esa)],[condensed_detachment]) ).
cnf(l1,plain,
( ~ is_a_theorem(equivalent(equivalent(b,equivalent(c,a)),equivalent(equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(a,b))),equivalent(equivalent(a,b),c))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(a,b))),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(b,equivalent(c,a)))))
| is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(b,equivalent(c,a)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(1,plain,
is_a_theorem(equivalent(X0,equivalent(equivalent(X1,equivalent(X0,X2)),equivalent(X2,X1)))),
inference(cnf,[status(esa)],[xgf]) ).
cnf(l2,plain,
is_a_theorem(equivalent(equivalent(b,equivalent(c,a)),equivalent(equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(a,b))),equivalent(equivalent(a,b),c)))),
inference(instantiation,[status(thm)],[1]) ).
% launching worker at depth: 10
cnf(l3,plain,
( ~ is_a_theorem(equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(a,b))))
| ~ is_a_theorem(equivalent(equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(a,b))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(a,b))),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(b,equivalent(c,a))))))
| is_a_theorem(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(a,b))),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(b,equivalent(c,a))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l4,plain,
is_a_theorem(equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(a,b)))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l5,plain,
is_a_theorem(equivalent(equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(a,b))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(a,b))),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(b,equivalent(c,a)))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l4,l5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL013-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n004.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Fri Sep 4 13:59:59 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.13/0.36 % launching worker at depth: 1
% 0.13/0.36 % launching worker at depth: 7
% 0.13/0.36 % launching worker at depth: 2
% 0.13/0.36 % launching worker at depth: 4
% 0.13/0.36 % launching worker at depth: 5
% 0.13/0.36 % launching worker at depth: 6
% 0.13/0.36 % launching worker at depth: 3
% 0.13/0.36 % launching worker at depth: 8
% 0.13/0.36 % launching worker at depth: 9
% 0.13/0.36 % SZS status Theorem for theBenchmark
% 0.13/0.36 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------