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hopCoP---0.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : hopCoP---0.1
% Problem  : LCL234-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n015.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 12:13:28 PM UTC 2026

% Result   : Unsatisfiable 89.96s 11.73s
% Output   : CNFRefutation 89.96s
% 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(or(not(p),or(not(q),not(or(not(p),not(q)))))),
    inference(cnf,[status(esa)],[prove_this]) ).

cnf(l0,plain,
    ~ theorem(or(not(p),or(not(q),not(or(not(p),not(q)))))),
    inference(instantiation,[status(thm)],[8]) ).

cnf(6,plain,
    ( ~ theorem(X0)
    | ~ axiom(or(not(X0),X1))
    | theorem(X1) ),
    inference(cnf,[status(esa)],[rule_2]) ).

cnf(l1,plain,
    ( ~ theorem(or(or(not(p),or(not(q),not(or(not(p),not(q))))),or(not(p),or(not(q),not(or(not(p),not(q)))))))
    | ~ axiom(or(not(or(or(not(p),or(not(q),not(or(not(p),not(q))))),or(not(p),or(not(q),not(or(not(p),not(q))))))),or(not(p),or(not(q),not(or(not(p),not(q)))))))
    | theorem(or(not(p),or(not(q),not(or(not(p),not(q)))))) ),
    inference(instantiation,[status(thm)],[6]) ).

cnf(l2,plain,
    ( ~ theorem(or(not(p),or(or(not(p),or(not(q),not(or(not(p),not(q))))),or(not(q),not(or(not(p),not(q)))))))
    | ~ axiom(or(not(or(not(p),or(or(not(p),or(not(q),not(or(not(p),not(q))))),or(not(q),not(or(not(p),not(q))))))),or(or(not(p),or(not(q),not(or(not(p),not(q))))),or(not(p),or(not(q),not(or(not(p),not(q))))))))
    | theorem(or(or(not(p),or(not(q),not(or(not(p),not(q))))),or(not(p),or(not(q),not(or(not(p),not(q))))))) ),
    inference(instantiation,[status(thm)],[6]) ).

cnf(0,plain,
    axiom(or(not(or(X0,X0)),X0)),
    inference(cnf,[status(esa)],[axiom_1_2]) ).

cnf(l3,plain,
    axiom(or(not(or(or(not(p),or(not(q),not(or(not(p),not(q))))),or(not(p),or(not(q),not(or(not(p),not(q))))))),or(not(p),or(not(q),not(or(not(p),not(q))))))),
    inference(instantiation,[status(thm)],[0]) ).

cnf(3,plain,
    axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
    inference(cnf,[status(esa)],[axiom_1_5]) ).

cnf(l4,plain,
    axiom(or(not(or(not(p),or(or(not(p),or(not(q),not(or(not(p),not(q))))),or(not(q),not(or(not(p),not(q))))))),or(or(not(p),or(not(q),not(or(not(p),not(q))))),or(not(p),or(not(q),not(or(not(p),not(q)))))))),
    inference(instantiation,[status(thm)],[3]) ).

cnf(l5,plain,
    ( ~ theorem(or(or(not(p),or(not(q),not(or(not(p),not(q))))),or(not(q),not(or(not(p),not(q))))))
    | ~ axiom(or(not(or(or(not(p),or(not(q),not(or(not(p),not(q))))),or(not(q),not(or(not(p),not(q)))))),or(not(p),or(or(not(p),or(not(q),not(or(not(p),not(q))))),or(not(q),not(or(not(p),not(q))))))))
    | theorem(or(not(p),or(or(not(p),or(not(q),not(or(not(p),not(q))))),or(not(q),not(or(not(p),not(q))))))) ),
    inference(instantiation,[status(thm)],[6]) ).

cnf(l6,plain,
    ( ~ theorem(or(not(q),or(or(not(p),or(not(q),not(or(not(p),not(q))))),not(or(not(p),not(q))))))
    | ~ axiom(or(not(or(not(q),or(or(not(p),or(not(q),not(or(not(p),not(q))))),not(or(not(p),not(q)))))),or(or(not(p),or(not(q),not(or(not(p),not(q))))),or(not(q),not(or(not(p),not(q)))))))
    | theorem(or(or(not(p),or(not(q),not(or(not(p),not(q))))),or(not(q),not(or(not(p),not(q)))))) ),
    inference(instantiation,[status(thm)],[6]) ).

cnf(l9,plain,
    ( ~ theorem(or(or(not(p),or(not(q),not(or(not(p),not(q))))),not(or(not(p),not(q)))))
    | ~ axiom(or(not(or(or(not(p),or(not(q),not(or(not(p),not(q))))),not(or(not(p),not(q))))),or(not(q),or(or(not(p),or(not(q),not(or(not(p),not(q))))),not(or(not(p),not(q)))))))
    | theorem(or(not(q),or(or(not(p),or(not(q),not(or(not(p),not(q))))),not(or(not(p),not(q)))))) ),
    inference(instantiation,[status(thm)],[6]) ).

cnf(l10,plain,
    ( ~ theorem(or(not(or(not(p),not(q))),or(not(p),or(not(q),not(or(not(p),not(q)))))))
    | ~ axiom(or(not(or(not(or(not(p),not(q))),or(not(p),or(not(q),not(or(not(p),not(q))))))),or(or(not(p),or(not(q),not(or(not(p),not(q))))),not(or(not(p),not(q))))))
    | theorem(or(or(not(p),or(not(q),not(or(not(p),not(q))))),not(or(not(p),not(q))))) ),
    inference(instantiation,[status(thm)],[6]) ).

cnf(l12,plain,
    ( ~ theorem(or(not(not(q)),or(not(q),not(or(not(p),not(q))))))
    | ~ axiom(or(not(or(not(not(q)),or(not(q),not(or(not(p),not(q)))))),or(not(or(not(p),not(q))),or(not(p),or(not(q),not(or(not(p),not(q))))))))
    | theorem(or(not(or(not(p),not(q))),or(not(p),or(not(q),not(or(not(p),not(q))))))) ),
    inference(instantiation,[status(thm)],[6]) ).

cnf(7,plain,
    ( ~ theorem(or(not(X0),X1))
    | ~ axiom(or(not(X2),X0))
    | theorem(or(not(X2),X1)) ),
    inference(cnf,[status(esa)],[rule_3]) ).

cnf(l13,plain,
    ( ~ theorem(or(not(or(not(or(not(p),not(q))),not(q))),or(not(q),not(or(not(p),not(q))))))
    | ~ axiom(or(not(not(q)),or(not(or(not(p),not(q))),not(q))))
    | theorem(or(not(not(q)),or(not(q),not(or(not(p),not(q)))))) ),
    inference(instantiation,[status(thm)],[7]) ).

cnf(1,plain,
    axiom(or(not(X0),or(X1,X0))),
    inference(cnf,[status(esa)],[axiom_1_3]) ).

cnf(l11,plain,
    axiom(or(not(or(or(not(p),or(not(q),not(or(not(p),not(q))))),not(or(not(p),not(q))))),or(not(q),or(or(not(p),or(not(q),not(or(not(p),not(q))))),not(or(not(p),not(q))))))),
    inference(instantiation,[status(thm)],[1]) ).

cnf(5,plain,
    ( ~ axiom(X0)
    | theorem(X0) ),
    inference(cnf,[status(esa)],[rule_1]) ).

cnf(l16,plain,
    ( ~ axiom(or(not(or(not(or(not(p),not(q))),not(q))),or(not(q),not(or(not(p),not(q))))))
    | theorem(or(not(or(not(or(not(p),not(q))),not(q))),or(not(q),not(or(not(p),not(q)))))) ),
    inference(instantiation,[status(thm)],[5]) ).

cnf(2,plain,
    axiom(or(not(or(X0,X1)),or(X1,X0))),
    inference(cnf,[status(esa)],[axiom_1_4]) ).

cnf(l14,plain,
    axiom(or(not(or(not(or(not(p),not(q))),or(not(p),or(not(q),not(or(not(p),not(q))))))),or(or(not(p),or(not(q),not(or(not(p),not(q))))),not(or(not(p),not(q)))))),
    inference(instantiation,[status(thm)],[2]) ).

cnf(l8,plain,
    axiom(or(not(or(not(q),or(or(not(p),or(not(q),not(or(not(p),not(q))))),not(or(not(p),not(q)))))),or(or(not(p),or(not(q),not(or(not(p),not(q))))),or(not(q),not(or(not(p),not(q))))))),
    inference(instantiation,[status(thm)],[3]) ).

cnf(l18,plain,
    axiom(or(not(or(not(or(not(p),not(q))),not(q))),or(not(q),not(or(not(p),not(q)))))),
    inference(instantiation,[status(thm)],[2]) ).

cnf(l7,plain,
    axiom(or(not(or(or(not(p),or(not(q),not(or(not(p),not(q))))),or(not(q),not(or(not(p),not(q)))))),or(not(p),or(or(not(p),or(not(q),not(or(not(p),not(q))))),or(not(q),not(or(not(p),not(q)))))))),
    inference(instantiation,[status(thm)],[1]) ).

cnf(4,plain,
    axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
    inference(cnf,[status(esa)],[axiom_1_6]) ).

cnf(l15,plain,
    axiom(or(not(or(not(not(q)),or(not(q),not(or(not(p),not(q)))))),or(not(or(not(p),not(q))),or(not(p),or(not(q),not(or(not(p),not(q)))))))),
    inference(instantiation,[status(thm)],[4]) ).

cnf(l17,plain,
    axiom(or(not(not(q)),or(not(or(not(p),not(q))),not(q)))),
    inference(instantiation,[status(thm)],[1]) ).

cnf(final,plain,
    $false,
    inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l4,l5,l6,l9,l10,l12,l13,l11,l16,l14,l8,l18,l7,l15,l17]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL234-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% 0.00/0.04  % Command  : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36  % Computer : n015.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Sat Sep  5 16:43:42 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  % launching worker at depth: 1
% 0.10/0.37  % launching worker at depth: 6
% 0.10/0.37  % launching worker at depth: 2
% 0.10/0.37  % launching worker at depth: 4
% 0.10/0.37  % launching worker at depth: 5
% 0.10/0.37  % launching worker at depth: 8
% 0.10/0.37  % launching worker at depth: 7
% 0.10/0.37  % launching worker at depth: 3
% 0.10/0.37  % launching worker at depth: 9
% 0.10/0.37  % launching worker at depth: 10
% 0.10/0.37  % launching worker at depth: 11
% 0.10/0.38  % launching worker at depth: 12
% 0.10/0.41  % launching worker at depth: 13
% 0.81/0.53  % launching worker at depth: 14
% 6.19/1.15  % launching worker at depth: 15
% 32.03/4.41  % launching worker at depth: 16
% 86.72/11.37  % launching worker at depth: 17
% 89.96/11.73  % SZS status Theorem for theBenchmark
% 89.96/11.73  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------