%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : LCL212-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.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 12:13:24 PM UTC 2026
% Result : Unsatisfiable 17.89s 2.62s
% Output : CNFRefutation 17.89s
% 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(not(p),implies(q,implies(implies(p,q),q)))),
inference(cnf,[status(esa)],[prove_this]) ).
cnf(l0,plain,
~ theorem(implies(not(p),implies(q,implies(implies(p,q),q)))),
inference(instantiation,[status(thm)],[8]) ).
cnf(5,plain,
implies(X0,X1) = or(not(X0),X1),
inference(cnf,[status(esa)],[implies_definition]) ).
cnf(l28,plain,
implies(implies(p,q),q) = or(not(implies(p,q)),q),
inference(instantiation,[status(thm)],[5]) ).
cnf(7,plain,
( ~ theorem(X0)
| ~ theorem(implies(X0,X1))
| theorem(X1) ),
inference(cnf,[status(esa)],[rule_2]) ).
cnf(l5,plain,
( ~ theorem(implies(q,or(not(implies(p,q)),q)))
| ~ theorem(implies(implies(q,or(not(implies(p,q)),q)),or(not(not(p)),implies(q,or(not(implies(p,q)),q)))))
| theorem(or(not(not(p)),implies(q,or(not(implies(p,q)),q)))) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(6,plain,
( ~ axiom(X0)
| theorem(X0) ),
inference(cnf,[status(esa)],[rule_1]) ).
cnf(l10,plain,
( ~ axiom(implies(q,or(not(implies(p,q)),q)))
| theorem(implies(q,or(not(implies(p,q)),q))) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l13,plain,
( ~ axiom(implies(implies(q,or(not(implies(p,q)),q)),or(not(not(p)),implies(q,or(not(implies(p,q)),q)))))
| theorem(implies(implies(q,or(not(implies(p,q)),q)),or(not(not(p)),implies(q,or(not(implies(p,q)),q))))) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(1,plain,
axiom(implies(X0,or(X1,X0))),
inference(cnf,[status(esa)],[axiom_1_3]) ).
cnf(l19,plain,
axiom(implies(q,or(not(implies(p,q)),q))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l15,plain,
axiom(implies(implies(q,or(not(implies(p,q)),q)),or(not(not(p)),implies(q,or(not(implies(p,q)),q))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l14,plain,
implies(not(p),implies(q,or(not(implies(p,q)),q))) = or(not(not(p)),implies(q,or(not(implies(p,q)),q))),
inference(instantiation,[status(thm)],[5]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l28,l5,l10,l13,l19,l15,l14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL212-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n026.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sat Sep 5 20:18:41 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.36 % launching worker at depth: 1
% 0.10/0.36 % launching worker at depth: 2
% 0.10/0.36 % launching worker at depth: 5
% 0.10/0.36 % launching worker at depth: 7
% 0.10/0.36 % launching worker at depth: 4
% 0.10/0.36 % launching worker at depth: 8
% 0.10/0.36 % launching worker at depth: 3
% 0.10/0.36 % launching worker at depth: 6
% 0.10/0.36 % launching worker at depth: 9
% 0.10/0.36 % launching worker at depth: 10
% 0.10/0.36 % launching worker at depth: 11
% 0.14/0.40 % launching worker at depth: 12
% 17.89/2.62 % SZS status Theorem for theBenchmark
% 17.89/2.62 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------