TSTP Solution File: LCL656+1.001 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : LCL656+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Sun Jul 17 13:56:05 EDT 2022

% Result   : Theorem 0.11s 0.38s
% Output   : Refutation 0.11s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07  % Problem  : LCL656+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.07  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.08/0.25  % Computer : n016.cluster.edu
% 0.08/0.25  % Model    : x86_64 x86_64
% 0.08/0.25  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.25  % Memory   : 8042.1875MB
% 0.08/0.25  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.25  % CPULimit : 300
% 0.08/0.25  % WCLimit  : 600
% 0.08/0.25  % DateTime : Sun Jul  3 07:45:30 EDT 2022
% 0.08/0.25  % CPUTime  : 
% 0.11/0.38  # Version:  1.3
% 0.11/0.38  # SZS status Theorem
% 0.11/0.38  # SZS output start CNFRefutation
% 0.11/0.38  fof(main,conjecture,(~(?[X]:(~((~(![Y]:((~r1(X,Y))|p2(Y))))|(~(((![Y]:((~r1(X,Y))|(((((((~(![X]:((~r1(Y,X))|(~(((~p2(X))&(~p102(X)))&p101(X))))))&(~(![X]:((~r1(Y,X))|(~((p2(X)&(~p102(X)))&p101(X)))))))|(~((~p101(Y))&p100(Y))))&((((![X]:(((~r1(Y,X))|(~p2(X)))|(~p101(X))))|p2(Y))&((![X]:(((~r1(Y,X))|p2(X))|(~p101(X))))|(~p2(Y))))|(~p101(Y))))&((((![X]:(((~r1(Y,X))|(~p1(X)))|(~p100(X))))|p1(Y))&((![X]:(((~r1(Y,X))|p1(X))|(~p100(X))))|(~p1(Y))))|(~p100(Y))))&(p101(Y)|(~p102(Y))))&(p100(Y)|(~p101(Y))))))&(~p101(X)))&p100(X))))))),input).
% 0.11/0.38  fof(c0,negated_conjecture,(~(~(?[X]:(~((~(![Y]:((~r1(X,Y))|p2(Y))))|(~(((![Y]:((~r1(X,Y))|(((((((~(![X]:((~r1(Y,X))|(~(((~p2(X))&(~p102(X)))&p101(X))))))&(~(![X]:((~r1(Y,X))|(~((p2(X)&(~p102(X)))&p101(X)))))))|(~((~p101(Y))&p100(Y))))&((((![X]:(((~r1(Y,X))|(~p2(X)))|(~p101(X))))|p2(Y))&((![X]:(((~r1(Y,X))|p2(X))|(~p101(X))))|(~p2(Y))))|(~p101(Y))))&((((![X]:(((~r1(Y,X))|(~p1(X)))|(~p100(X))))|p1(Y))&((![X]:(((~r1(Y,X))|p1(X))|(~p100(X))))|(~p1(Y))))|(~p100(Y))))&(p101(Y)|(~p102(Y))))&(p100(Y)|(~p101(Y))))))&(~p101(X)))&p100(X)))))))),inference(assume_negation,status(cth),[main])).
% 0.11/0.38  fof(c1,negated_conjecture,(~(~(?[X]:(~((~(![Y]:(~r1(X,Y)|p2(Y))))|(~(((![Y]:(~r1(X,Y)|(((((((~(![X]:(~r1(Y,X)|(~((~p2(X)&~p102(X))&p101(X))))))&(~(![X]:(~r1(Y,X)|(~((p2(X)&~p102(X))&p101(X)))))))|(~(~p101(Y)&p100(Y))))&((((![X]:((~r1(Y,X)|~p2(X))|~p101(X)))|p2(Y))&((![X]:((~r1(Y,X)|p2(X))|~p101(X)))|~p2(Y)))|~p101(Y)))&((((![X]:((~r1(Y,X)|~p1(X))|~p100(X)))|p1(Y))&((![X]:((~r1(Y,X)|p1(X))|~p100(X)))|~p1(Y)))|~p100(Y)))&(p101(Y)|~p102(Y)))&(p100(Y)|~p101(Y)))))&~p101(X))&p100(X)))))))),inference(fof_simplification,status(thm),[c0])).
% 0.11/0.38  fof(c2,negated_conjecture,(?[X]:((![Y]:(~r1(X,Y)|p2(Y)))&(((![Y]:(~r1(X,Y)|(((((((?[X]:(r1(Y,X)&((~p2(X)&~p102(X))&p101(X))))&(?[X]:(r1(Y,X)&((p2(X)&~p102(X))&p101(X)))))|(p101(Y)|~p100(Y)))&((((![X]:((~r1(Y,X)|~p2(X))|~p101(X)))|p2(Y))&((![X]:((~r1(Y,X)|p2(X))|~p101(X)))|~p2(Y)))|~p101(Y)))&((((![X]:((~r1(Y,X)|~p1(X))|~p100(X)))|p1(Y))&((![X]:((~r1(Y,X)|p1(X))|~p100(X)))|~p1(Y)))|~p100(Y)))&(p101(Y)|~p102(Y)))&(p100(Y)|~p101(Y)))))&~p101(X))&p100(X)))),inference(fof_nnf,status(thm),[c1])).
% 0.11/0.38  fof(c3,negated_conjecture,(?[X2]:((![X3]:(~r1(X2,X3)|p2(X3)))&(((![X4]:(~r1(X2,X4)|(((((((?[X5]:(r1(X4,X5)&((~p2(X5)&~p102(X5))&p101(X5))))&(?[X6]:(r1(X4,X6)&((p2(X6)&~p102(X6))&p101(X6)))))|(p101(X4)|~p100(X4)))&((((![X7]:((~r1(X4,X7)|~p2(X7))|~p101(X7)))|p2(X4))&((![X8]:((~r1(X4,X8)|p2(X8))|~p101(X8)))|~p2(X4)))|~p101(X4)))&((((![X9]:((~r1(X4,X9)|~p1(X9))|~p100(X9)))|p1(X4))&((![X10]:((~r1(X4,X10)|p1(X10))|~p100(X10)))|~p1(X4)))|~p100(X4)))&(p101(X4)|~p102(X4)))&(p100(X4)|~p101(X4)))))&~p101(X2))&p100(X2)))),inference(variable_rename,status(thm),[c2])).
% 0.11/0.38  fof(c5,negated_conjecture,(![X3]:(![X4]:(![X7]:(![X8]:(![X9]:(![X10]:((~r1(skolem0001,X3)|p2(X3))&(((~r1(skolem0001,X4)|(((((((r1(X4,skolem0002(X4))&((~p2(skolem0002(X4))&~p102(skolem0002(X4)))&p101(skolem0002(X4))))&(r1(X4,skolem0003(X4))&((p2(skolem0003(X4))&~p102(skolem0003(X4)))&p101(skolem0003(X4)))))|(p101(X4)|~p100(X4)))&(((((~r1(X4,X7)|~p2(X7))|~p101(X7))|p2(X4))&(((~r1(X4,X8)|p2(X8))|~p101(X8))|~p2(X4)))|~p101(X4)))&(((((~r1(X4,X9)|~p1(X9))|~p100(X9))|p1(X4))&(((~r1(X4,X10)|p1(X10))|~p100(X10))|~p1(X4)))|~p100(X4)))&(p101(X4)|~p102(X4)))&(p100(X4)|~p101(X4))))&~p101(skolem0001))&p100(skolem0001))))))))),inference(shift_quantors,status(thm),[fof(c4,negated_conjecture,((![X3]:(~r1(skolem0001,X3)|p2(X3)))&(((![X4]:(~r1(skolem0001,X4)|(((((((r1(X4,skolem0002(X4))&((~p2(skolem0002(X4))&~p102(skolem0002(X4)))&p101(skolem0002(X4))))&(r1(X4,skolem0003(X4))&((p2(skolem0003(X4))&~p102(skolem0003(X4)))&p101(skolem0003(X4)))))|(p101(X4)|~p100(X4)))&((((![X7]:((~r1(X4,X7)|~p2(X7))|~p101(X7)))|p2(X4))&((![X8]:((~r1(X4,X8)|p2(X8))|~p101(X8)))|~p2(X4)))|~p101(X4)))&((((![X9]:((~r1(X4,X9)|~p1(X9))|~p100(X9)))|p1(X4))&((![X10]:((~r1(X4,X10)|p1(X10))|~p100(X10)))|~p1(X4)))|~p100(X4)))&(p101(X4)|~p102(X4)))&(p100(X4)|~p101(X4)))))&~p101(skolem0001))&p100(skolem0001))),inference(skolemize,status(esa),[c3])).])).
% 0.11/0.38  fof(c6,negated_conjecture,(![X3]:(![X4]:(![X7]:(![X8]:(![X9]:(![X10]:((~r1(skolem0001,X3)|p2(X3))&(((((((((~r1(skolem0001,X4)|(r1(X4,skolem0002(X4))|(p101(X4)|~p100(X4))))&(((~r1(skolem0001,X4)|(~p2(skolem0002(X4))|(p101(X4)|~p100(X4))))&(~r1(skolem0001,X4)|(~p102(skolem0002(X4))|(p101(X4)|~p100(X4)))))&(~r1(skolem0001,X4)|(p101(skolem0002(X4))|(p101(X4)|~p100(X4))))))&((~r1(skolem0001,X4)|(r1(X4,skolem0003(X4))|(p101(X4)|~p100(X4))))&(((~r1(skolem0001,X4)|(p2(skolem0003(X4))|(p101(X4)|~p100(X4))))&(~r1(skolem0001,X4)|(~p102(skolem0003(X4))|(p101(X4)|~p100(X4)))))&(~r1(skolem0001,X4)|(p101(skolem0003(X4))|(p101(X4)|~p100(X4)))))))&((~r1(skolem0001,X4)|((((~r1(X4,X7)|~p2(X7))|~p101(X7))|p2(X4))|~p101(X4)))&(~r1(skolem0001,X4)|((((~r1(X4,X8)|p2(X8))|~p101(X8))|~p2(X4))|~p101(X4)))))&((~r1(skolem0001,X4)|((((~r1(X4,X9)|~p1(X9))|~p100(X9))|p1(X4))|~p100(X4)))&(~r1(skolem0001,X4)|((((~r1(X4,X10)|p1(X10))|~p100(X10))|~p1(X4))|~p100(X4)))))&(~r1(skolem0001,X4)|(p101(X4)|~p102(X4))))&(~r1(skolem0001,X4)|(p100(X4)|~p101(X4))))&~p101(skolem0001))&p100(skolem0001))))))))),inference(distribute,status(thm),[c5])).
% 0.11/0.38  cnf(c22,negated_conjecture,~p101(skolem0001),inference(split_conjunct,status(thm),[c6])).
% 0.11/0.38  cnf(c23,negated_conjecture,p100(skolem0001),inference(split_conjunct,status(thm),[c6])).
% 0.11/0.38  fof(reflexivity,axiom,(![X]:r1(X,X)),input).
% 0.11/0.38  fof(c24,axiom,(![X11]:r1(X11,X11)),inference(variable_rename,status(thm),[reflexivity])).
% 0.11/0.38  cnf(c25,axiom,r1(X12,X12),inference(split_conjunct,status(thm),[c24])).
% 0.11/0.38  cnf(c9,negated_conjecture,~r1(skolem0001,X17)|~p2(skolem0002(X17))|p101(X17)|~p100(X17),inference(split_conjunct,status(thm),[c6])).
% 0.11/0.38  cnf(c7,negated_conjecture,~r1(skolem0001,X13)|p2(X13),inference(split_conjunct,status(thm),[c6])).
% 0.11/0.38  cnf(c8,negated_conjecture,~r1(skolem0001,X14)|r1(X14,skolem0002(X14))|p101(X14)|~p100(X14),inference(split_conjunct,status(thm),[c6])).
% 0.11/0.38  cnf(c27,plain,r1(skolem0001,skolem0002(skolem0001))|p101(skolem0001)|~p100(skolem0001),inference(resolution,status(thm),[c8, c25])).
% 0.11/0.38  cnf(c40,plain,r1(skolem0001,skolem0002(skolem0001))|p101(skolem0001),inference(resolution,status(thm),[c27, c23])).
% 0.11/0.38  cnf(c49,plain,r1(skolem0001,skolem0002(skolem0001)),inference(resolution,status(thm),[c40, c22])).
% 0.11/0.38  cnf(c55,plain,p2(skolem0002(skolem0001)),inference(resolution,status(thm),[c49, c7])).
% 0.11/0.38  cnf(c61,plain,~r1(skolem0001,skolem0001)|p101(skolem0001)|~p100(skolem0001),inference(resolution,status(thm),[c55, c9])).
% 0.11/0.38  cnf(c65,plain,p101(skolem0001)|~p100(skolem0001),inference(resolution,status(thm),[c61, c25])).
% 0.11/0.38  cnf(c66,plain,p101(skolem0001),inference(resolution,status(thm),[c65, c23])).
% 0.11/0.38  cnf(c67,plain,$false,inference(resolution,status(thm),[c66, c22])).
% 0.11/0.38  # SZS output end CNFRefutation
% 0.11/0.38  
% 0.11/0.38  # Initial clauses    : 18
% 0.11/0.38  # Processed clauses  : 37
% 0.11/0.38  # Factors computed   : 0
% 0.11/0.38  # Resolvents computed: 44
% 0.11/0.38  # Tautologies deleted: 1
% 0.11/0.38  # Forward subsumed   : 4
% 0.11/0.38  # Backward subsumed  : 12
% 0.11/0.38  # -------- CPU Time ---------
% 0.11/0.38  # User time          : 0.111 s
% 0.11/0.38  # System time        : 0.010 s
% 0.11/0.38  # Total time         : 0.121 s
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