%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : LCL079-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 12:13:08 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.36s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_transitivityERROR: Could not build tree for root finalERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(6,plain,
~ is_a_theorem(implies(a,c)),
inference(cnf,[status(esa)],[prove_transitivity]) ).
cnf(l0,plain,
~ is_a_theorem(implies(a,c)),
inference(instantiation,[status(thm)],[6]) ).
cnf(0,plain,
( ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(X1) ),
inference(cnf,[status(esa)],[condensed_detachment]) ).
cnf(l1,plain,
( ~ is_a_theorem(implies(a,implies(b,c)))
| ~ is_a_theorem(implies(implies(a,implies(b,c)),implies(a,c)))
| is_a_theorem(implies(a,c)) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l3,plain,
( ~ is_a_theorem(implies(implies(a,implies(b,c)),implies(a,b)))
| ~ is_a_theorem(implies(implies(implies(a,implies(b,c)),implies(a,b)),implies(implies(a,implies(b,c)),implies(a,c))))
| is_a_theorem(implies(implies(a,implies(b,c)),implies(a,c))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l4,plain,
( ~ is_a_theorem(implies(a,b))
| ~ is_a_theorem(implies(implies(a,b),implies(implies(a,implies(b,c)),implies(a,b))))
| is_a_theorem(implies(implies(a,implies(b,c)),implies(a,b))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(1,plain,
is_a_theorem(implies(X0,implies(X1,X0))),
inference(cnf,[status(esa)],[cn_18]) ).
cnf(l8,plain,
is_a_theorem(implies(implies(a,b),implies(implies(a,implies(b,c)),implies(a,b)))),
inference(instantiation,[status(thm)],[1]) ).
cnf(4,plain,
is_a_theorem(implies(a,b)),
inference(cnf,[status(esa)],[a_implies_b]) ).
cnf(l9,plain,
is_a_theorem(implies(a,b)),
inference(instantiation,[status(thm)],[4]) ).
cnf(l5,plain,
( ~ is_a_theorem(implies(implies(a,implies(b,c)),implies(implies(a,b),implies(a,c))))
| ~ is_a_theorem(implies(implies(implies(a,implies(b,c)),implies(implies(a,b),implies(a,c))),implies(implies(implies(a,implies(b,c)),implies(a,b)),implies(implies(a,implies(b,c)),implies(a,c)))))
| is_a_theorem(implies(implies(implies(a,implies(b,c)),implies(a,b)),implies(implies(a,implies(b,c)),implies(a,c)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(2,plain,
is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X0,X1),implies(X0,X2)))),
inference(cnf,[status(esa)],[cn_35]) ).
cnf(l7,plain,
is_a_theorem(implies(implies(implies(a,implies(b,c)),implies(implies(a,b),implies(a,c))),implies(implies(implies(a,implies(b,c)),implies(a,b)),implies(implies(a,implies(b,c)),implies(a,c))))),
inference(instantiation,[status(thm)],[2]) ).
cnf(l6,plain,
is_a_theorem(implies(implies(a,implies(b,c)),implies(implies(a,b),implies(a,c)))),
inference(instantiation,[status(thm)],[2]) ).
cnf(l2,plain,
( ~ is_a_theorem(implies(b,c))
| ~ is_a_theorem(implies(implies(b,c),implies(a,implies(b,c))))
| is_a_theorem(implies(a,implies(b,c))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l10,plain,
is_a_theorem(implies(implies(b,c),implies(a,implies(b,c)))),
inference(instantiation,[status(thm)],[1]) ).
cnf(5,plain,
is_a_theorem(implies(b,c)),
inference(cnf,[status(esa)],[b_implies_c]) ).
cnf(l11,plain,
is_a_theorem(implies(b,c)),
inference(instantiation,[status(thm)],[5]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l4,l8,l9,l5,l7,l6,l2,l10,l11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL079-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n007.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Sun Sep 6 01:02:54 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 % launching worker at depth: 1
% 0.08/0.35 % launching worker at depth: 5
% 0.08/0.35 % launching worker at depth: 2
% 0.08/0.35 % launching worker at depth: 3
% 0.08/0.35 % launching worker at depth: 4
% 0.08/0.35 % launching worker at depth: 8
% 0.08/0.35 % launching worker at depth: 6
% 0.08/0.35 % launching worker at depth: 7
% 0.08/0.35 % launching worker at depth: 9
% 0.08/0.35 % launching worker at depth: 10
% 0.08/0.35 % launching worker at depth: 11
% 0.08/0.36 % SZS status Theorem for theBenchmark
% 0.08/0.36 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------