%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : LCL192-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.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 12:13:21 PM UTC 2026
% Result : Unsatisfiable 181.06s 23.15s
% Output : CNFRefutation 181.06s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_thisERROR: Could not build tree for root finalERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(8,plain,
~ theorem(implies(or(or(p,q),r),or(p,or(q,r)))),
inference(cnf,[status(esa)],[prove_this]) ).
cnf(l0,plain,
~ theorem(implies(or(or(p,q),r),or(p,or(q,r)))),
inference(instantiation,[status(thm)],[8]) ).
cnf(7,plain,
( ~ theorem(X0)
| ~ theorem(implies(X0,X1))
| theorem(X1) ),
inference(cnf,[status(esa)],[rule_2]) ).
cnf(l3,plain,
( ~ theorem(or(not(or(or(p,q),r)),or(p,or(r,q))))
| ~ theorem(implies(or(not(or(or(p,q),r)),or(p,or(r,q))),or(not(or(or(p,q),r)),or(p,or(q,r)))))
| theorem(or(not(or(or(p,q),r)),or(p,or(q,r)))) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(5,plain,
implies(X0,X1) = or(not(X0),X1),
inference(cnf,[status(esa)],[implies_definition]) ).
cnf(l7,plain,
implies(or(or(p,q),r),or(p,or(q,r))) = or(not(or(or(p,q),r)),or(p,or(q,r))),
inference(instantiation,[status(thm)],[5]) ).
cnf(l5,plain,
( ~ theorem(implies(or(p,or(r,q)),or(p,or(q,r))))
| ~ theorem(implies(implies(or(p,or(r,q)),or(p,or(q,r))),implies(or(not(or(or(p,q),r)),or(p,or(r,q))),or(not(or(or(p,q),r)),or(p,or(q,r))))))
| theorem(implies(or(not(or(or(p,q),r)),or(p,or(r,q))),or(not(or(or(p,q),r)),or(p,or(q,r))))) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(6,plain,
( ~ axiom(X0)
| theorem(X0) ),
inference(cnf,[status(esa)],[rule_1]) ).
cnf(l13,plain,
( ~ axiom(implies(implies(or(p,or(r,q)),or(p,or(q,r))),implies(or(not(or(or(p,q),r)),or(p,or(r,q))),or(not(or(or(p,q),r)),or(p,or(q,r))))))
| theorem(implies(implies(or(p,or(r,q)),or(p,or(q,r))),implies(or(not(or(or(p,q),r)),or(p,or(r,q))),or(not(or(or(p,q),r)),or(p,or(q,r)))))) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l10,plain,
( ~ theorem(implies(or(r,q),or(q,r)))
| ~ theorem(implies(implies(or(r,q),or(q,r)),implies(or(p,or(r,q)),or(p,or(q,r)))))
| theorem(implies(or(p,or(r,q)),or(p,or(q,r)))) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l19,plain,
( ~ axiom(implies(or(r,q),or(q,r)))
| theorem(implies(or(r,q),or(q,r))) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(2,plain,
axiom(implies(or(X0,X1),or(X1,X0))),
inference(cnf,[status(esa)],[axiom_1_4]) ).
cnf(l23,plain,
axiom(implies(or(r,q),or(q,r))),
inference(instantiation,[status(thm)],[2]) ).
cnf(l8,plain,
( ~ theorem(or(not(or(or(p,q),r)),or(r,or(p,q))))
| ~ theorem(implies(or(not(or(or(p,q),r)),or(r,or(p,q))),or(not(or(or(p,q),r)),or(p,or(r,q)))))
| theorem(or(not(or(or(p,q),r)),or(p,or(r,q)))) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l44,plain,
( ~ theorem(implies(or(r,or(p,q)),or(p,or(r,q))))
| ~ theorem(implies(implies(or(r,or(p,q)),or(p,or(r,q))),implies(or(not(or(or(p,q),r)),or(r,or(p,q))),or(not(or(or(p,q),r)),or(p,or(r,q))))))
| theorem(implies(or(not(or(or(p,q),r)),or(r,or(p,q))),or(not(or(or(p,q),r)),or(p,or(r,q))))) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l45,plain,
( ~ axiom(implies(implies(or(r,or(p,q)),or(p,or(r,q))),implies(or(not(or(or(p,q),r)),or(r,or(p,q))),or(not(or(or(p,q),r)),or(p,or(r,q))))))
| theorem(implies(implies(or(r,or(p,q)),or(p,or(r,q))),implies(or(not(or(or(p,q),r)),or(r,or(p,q))),or(not(or(or(p,q),r)),or(p,or(r,q)))))) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l11,plain,
( ~ axiom(implies(implies(or(r,q),or(q,r)),implies(or(p,or(r,q)),or(p,or(q,r)))))
| theorem(implies(implies(or(r,q),or(q,r)),implies(or(p,or(r,q)),or(p,or(q,r))))) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l46,plain,
( ~ axiom(implies(or(r,or(p,q)),or(p,or(r,q))))
| theorem(implies(or(r,or(p,q)),or(p,or(r,q)))) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(4,plain,
axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
inference(cnf,[status(esa)],[axiom_1_6]) ).
cnf(l15,plain,
axiom(implies(implies(or(p,or(r,q)),or(p,or(q,r))),implies(or(not(or(or(p,q),r)),or(p,or(r,q))),or(not(or(or(p,q),r)),or(p,or(q,r)))))),
inference(instantiation,[status(thm)],[4]) ).
cnf(l36,plain,
axiom(implies(implies(or(r,q),or(q,r)),implies(or(p,or(r,q)),or(p,or(q,r))))),
inference(instantiation,[status(thm)],[4]) ).
cnf(l48,plain,
axiom(implies(implies(or(r,or(p,q)),or(p,or(r,q))),implies(or(not(or(or(p,q),r)),or(r,or(p,q))),or(not(or(or(p,q),r)),or(p,or(r,q)))))),
inference(instantiation,[status(thm)],[4]) ).
cnf(3,plain,
axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
inference(cnf,[status(esa)],[axiom_1_5]) ).
cnf(l47,plain,
axiom(implies(or(r,or(p,q)),or(p,or(r,q)))),
inference(instantiation,[status(thm)],[3]) ).
cnf(l16,plain,
( ~ axiom(implies(or(or(p,q),r),or(r,or(p,q))))
| theorem(implies(or(or(p,q),r),or(r,or(p,q)))) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l20,plain,
implies(or(or(p,q),r),or(r,or(p,q))) = or(not(or(or(p,q),r)),or(r,or(p,q))),
inference(instantiation,[status(thm)],[5]) ).
cnf(l25,plain,
axiom(implies(or(or(p,q),r),or(r,or(p,q)))),
inference(instantiation,[status(thm)],[2]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l3,l7,l5,l13,l10,l19,l23,l8,l44,l45,l11,l46,l15,l36,l48,l47,l16,l20,l25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL192-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n009.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sat Sep 5 01:19:06 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 % launching worker at depth: 1
% 0.11/0.37 % launching worker at depth: 5
% 0.11/0.37 % launching worker at depth: 8
% 0.11/0.37 % launching worker at depth: 2
% 0.11/0.37 % launching worker at depth: 3
% 0.11/0.37 % launching worker at depth: 4
% 0.11/0.37 % launching worker at depth: 6
% 0.11/0.37 % launching worker at depth: 7
% 0.11/0.38 % launching worker at depth: 9
% 0.11/0.38 % launching worker at depth: 10
% 0.11/0.38 % launching worker at depth: 11
% 0.11/0.42 % launching worker at depth: 12
% 24.10/3.42 % launching worker at depth: 13
% 181.06/23.15 % SZS status Theorem for theBenchmark
% 181.06/23.15 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------