TSTP Solution File: KLE005+1 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : KLE005+1 : 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 02:22:41 EDT 2022

% Result   : Theorem 2.14s 2.30s
% Output   : Refutation 2.14s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : KLE005+1 : TPTP v8.1.0. Released v4.0.0.
% 0.13/0.14  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35  % Computer : n016.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Thu Jun 16 08:44:04 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 2.14/2.30  # Version:  1.3
% 2.14/2.30  # SZS status Theorem
% 2.14/2.30  # SZS output start CNFRefutation
% 2.14/2.30  fof(goals,conjecture,c(one)=zero,input).
% 2.14/2.30  fof(c6,negated_conjecture,(~c(one)=zero),inference(assume_negation,status(cth),[goals])).
% 2.14/2.30  fof(c7,negated_conjecture,c(one)!=zero,inference(fof_simplification,status(thm),[c6])).
% 2.14/2.30  cnf(c8,negated_conjecture,c(one)!=zero,inference(split_conjunct,status(thm),[c7])).
% 2.14/2.30  cnf(symmetry,axiom,X43!=X42|X42=X43,eq_axiom).
% 2.14/2.30  cnf(transitivity,axiom,X47!=X46|X46!=X45|X47=X45,eq_axiom).
% 2.14/2.30  fof(multiplicative_right_identity,axiom,(![A]:multiplication(A,one)=A),input).
% 2.14/2.30  fof(c52,axiom,(![X27]:multiplication(X27,one)=X27),inference(variable_rename,status(thm),[multiplicative_right_identity])).
% 2.14/2.30  cnf(c53,axiom,multiplication(X51,one)=X51,inference(split_conjunct,status(thm),[c52])).
% 2.14/2.30  cnf(c73,plain,X160!=multiplication(X161,one)|X160=X161,inference(resolution,status(thm),[c53, transitivity])).
% 2.14/2.30  fof(test_4,axiom,(![X0]:((~test(X0))=>c(X0)=zero)),input).
% 2.14/2.30  fof(c9,axiom,(![X0]:(~test(X0)=>c(X0)=zero)),inference(fof_simplification,status(thm),[test_4])).
% 2.14/2.30  fof(c10,axiom,(![X0]:(test(X0)|c(X0)=zero)),inference(fof_nnf,status(thm),[c9])).
% 2.14/2.30  fof(c11,axiom,(![X2]:(test(X2)|c(X2)=zero)),inference(variable_rename,status(thm),[c10])).
% 2.14/2.30  cnf(c12,axiom,test(X92)|c(X92)=zero,inference(split_conjunct,status(thm),[c11])).
% 2.14/2.30  cnf(c149,plain,test(one),inference(resolution,status(thm),[c12, c8])).
% 2.14/2.30  cnf(reflexivity,axiom,X38=X38,eq_axiom).
% 2.14/2.30  fof(test_3,axiom,(![X0]:(![X1]:(test(X0)=>(c(X0)=X1<=>complement(X0,X1))))),input).
% 2.14/2.30  fof(c13,axiom,(![X0]:(![X1]:(~test(X0)|((c(X0)!=X1|complement(X0,X1))&(~complement(X0,X1)|c(X0)=X1))))),inference(fof_nnf,status(thm),[test_3])).
% 2.14/2.30  fof(c14,axiom,(![X0]:(~test(X0)|((![X1]:(c(X0)!=X1|complement(X0,X1)))&(![X1]:(~complement(X0,X1)|c(X0)=X1))))),inference(shift_quantors,status(thm),[c13])).
% 2.14/2.30  fof(c16,axiom,(![X3]:(![X4]:(![X5]:(~test(X3)|((c(X3)!=X4|complement(X3,X4))&(~complement(X3,X5)|c(X3)=X5)))))),inference(shift_quantors,status(thm),[fof(c15,axiom,(![X3]:(~test(X3)|((![X4]:(c(X3)!=X4|complement(X3,X4)))&(![X5]:(~complement(X3,X5)|c(X3)=X5))))),inference(variable_rename,status(thm),[c14])).])).
% 2.14/2.30  fof(c17,axiom,(![X3]:(![X4]:(![X5]:((~test(X3)|(c(X3)!=X4|complement(X3,X4)))&(~test(X3)|(~complement(X3,X5)|c(X3)=X5)))))),inference(distribute,status(thm),[c16])).
% 2.14/2.30  cnf(c18,axiom,~test(X94)|c(X94)!=X93|complement(X94,X93),inference(split_conjunct,status(thm),[c17])).
% 2.14/2.30  cnf(c161,plain,~test(X95)|complement(X95,c(X95)),inference(resolution,status(thm),[c18, reflexivity])).
% 2.14/2.30  cnf(c165,plain,complement(one,c(one)),inference(resolution,status(thm),[c161, c149])).
% 2.14/2.30  fof(test_2,axiom,(![X0]:(![X1]:(complement(X1,X0)<=>((multiplication(X0,X1)=zero&multiplication(X1,X0)=zero)&addition(X0,X1)=one)))),input).
% 2.14/2.30  fof(c20,axiom,(![X0]:(![X1]:((~complement(X1,X0)|((multiplication(X0,X1)=zero&multiplication(X1,X0)=zero)&addition(X0,X1)=one))&(((multiplication(X0,X1)!=zero|multiplication(X1,X0)!=zero)|addition(X0,X1)!=one)|complement(X1,X0))))),inference(fof_nnf,status(thm),[test_2])).
% 2.14/2.30  fof(c21,axiom,((![X0]:(![X1]:(~complement(X1,X0)|((multiplication(X0,X1)=zero&multiplication(X1,X0)=zero)&addition(X0,X1)=one))))&(![X0]:(![X1]:(((multiplication(X0,X1)!=zero|multiplication(X1,X0)!=zero)|addition(X0,X1)!=one)|complement(X1,X0))))),inference(shift_quantors,status(thm),[c20])).
% 2.14/2.30  fof(c23,axiom,(![X6]:(![X7]:(![X8]:(![X9]:((~complement(X7,X6)|((multiplication(X6,X7)=zero&multiplication(X7,X6)=zero)&addition(X6,X7)=one))&(((multiplication(X8,X9)!=zero|multiplication(X9,X8)!=zero)|addition(X8,X9)!=one)|complement(X9,X8))))))),inference(shift_quantors,status(thm),[fof(c22,axiom,((![X6]:(![X7]:(~complement(X7,X6)|((multiplication(X6,X7)=zero&multiplication(X7,X6)=zero)&addition(X6,X7)=one))))&(![X8]:(![X9]:(((multiplication(X8,X9)!=zero|multiplication(X9,X8)!=zero)|addition(X8,X9)!=one)|complement(X9,X8))))),inference(variable_rename,status(thm),[c21])).])).
% 2.14/2.30  fof(c24,axiom,(![X6]:(![X7]:(![X8]:(![X9]:((((~complement(X7,X6)|multiplication(X6,X7)=zero)&(~complement(X7,X6)|multiplication(X7,X6)=zero))&(~complement(X7,X6)|addition(X6,X7)=one))&(((multiplication(X8,X9)!=zero|multiplication(X9,X8)!=zero)|addition(X8,X9)!=one)|complement(X9,X8))))))),inference(distribute,status(thm),[c23])).
% 2.14/2.30  cnf(c25,axiom,~complement(X103,X104)|multiplication(X104,X103)=zero,inference(split_conjunct,status(thm),[c24])).
% 2.14/2.30  cnf(c201,plain,multiplication(c(one),one)=zero,inference(resolution,status(thm),[c25, c165])).
% 2.14/2.30  cnf(c1647,plain,zero=multiplication(c(one),one),inference(resolution,status(thm),[c201, symmetry])).
% 2.14/2.30  cnf(c8124,plain,zero=c(one),inference(resolution,status(thm),[c1647, c73])).
% 2.14/2.30  cnf(c8235,plain,c(one)=zero,inference(resolution,status(thm),[c8124, symmetry])).
% 2.14/2.30  cnf(c8262,plain,$false,inference(resolution,status(thm),[c8235, c8])).
% 2.14/2.30  # SZS output end CNFRefutation
% 2.14/2.30  
% 2.14/2.30  # Initial clauses    : 32
% 2.14/2.30  # Processed clauses  : 338
% 2.14/2.30  # Factors computed   : 0
% 2.14/2.30  # Resolvents computed: 8246
% 2.14/2.30  # Tautologies deleted: 3
% 2.14/2.30  # Forward subsumed   : 291
% 2.14/2.30  # Backward subsumed  : 1
% 2.14/2.30  # -------- CPU Time ---------
% 2.14/2.30  # User time          : 1.916 s
% 2.14/2.30  # System time        : 0.022 s
% 2.14/2.30  # Total time         : 1.938 s
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