TSTP Solution File: SYN375+1 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SYN375+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n013.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 : Thu Jul 21 11:27:41 EDT 2022

% Result   : Theorem 0.40s 0.60s
% Output   : Refutation 0.40s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN375+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34  % Computer : n013.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Mon Jul 11 21:25:30 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.40/0.60  # Version:  1.3
% 0.40/0.60  # SZS status Theorem
% 0.40/0.60  # SZS output start CNFRefutation
% 0.40/0.60  fof(x2126,conjecture,((![X]:(big_p(X)<=>(?[Y]:big_p(Y))))<=>((![X]:big_p(X))<=>(?[Y]:big_p(Y)))),input).
% 0.40/0.60  fof(c0,negated_conjecture,(~((![X]:(big_p(X)<=>(?[Y]:big_p(Y))))<=>((![X]:big_p(X))<=>(?[Y]:big_p(Y))))),inference(assume_negation,status(cth),[x2126])).
% 0.40/0.60  fof(c1,negated_conjecture,(((?[X]:((~big_p(X)|(![Y]:~big_p(Y)))&(big_p(X)|(?[Y]:big_p(Y)))))|(((?[X]:~big_p(X))|(![Y]:~big_p(Y)))&((![X]:big_p(X))|(?[Y]:big_p(Y)))))&((![X]:((~big_p(X)|(?[Y]:big_p(Y)))&((![Y]:~big_p(Y))|big_p(X))))|(((?[X]:~big_p(X))|(?[Y]:big_p(Y)))&((![Y]:~big_p(Y))|(![X]:big_p(X)))))),inference(fof_nnf,status(thm),[c0])).
% 0.40/0.60  fof(c2,negated_conjecture,(((?[X]:((~big_p(X)|(![Y]:~big_p(Y)))&(big_p(X)|(?[Y]:big_p(Y)))))|(((?[X]:~big_p(X))|(![Y]:~big_p(Y)))&((![X]:big_p(X))|(?[Y]:big_p(Y)))))&((((![X]:~big_p(X))|(?[Y]:big_p(Y)))&((![Y]:~big_p(Y))|(![X]:big_p(X))))|(((?[X]:~big_p(X))|(?[Y]:big_p(Y)))&((![Y]:~big_p(Y))|(![X]:big_p(X)))))),inference(shift_quantors,status(thm),[c1])).
% 0.40/0.60  fof(c3,negated_conjecture,(((?[X2]:((~big_p(X2)|(![X3]:~big_p(X3)))&(big_p(X2)|(?[X4]:big_p(X4)))))|(((?[X5]:~big_p(X5))|(![X6]:~big_p(X6)))&((![X7]:big_p(X7))|(?[X8]:big_p(X8)))))&((((![X9]:~big_p(X9))|(?[X10]:big_p(X10)))&((![X11]:~big_p(X11))|(![X12]:big_p(X12))))|(((?[X13]:~big_p(X13))|(?[X14]:big_p(X14)))&((![X15]:~big_p(X15))|(![X16]:big_p(X16)))))),inference(variable_rename,status(thm),[c2])).
% 0.40/0.60  fof(c5,negated_conjecture,(![X3]:(![X6]:(![X7]:(![X9]:(![X11]:(![X12]:(![X15]:(![X16]:((((~big_p(skolem0001)|~big_p(X3))&(big_p(skolem0001)|big_p(skolem0002)))|((~big_p(skolem0003)|~big_p(X6))&(big_p(X7)|big_p(skolem0004))))&(((~big_p(X9)|big_p(skolem0005))&(~big_p(X11)|big_p(X12)))|((~big_p(skolem0006)|big_p(skolem0007))&(~big_p(X15)|big_p(X16))))))))))))),inference(shift_quantors,status(thm),[fof(c4,negated_conjecture,((((~big_p(skolem0001)|(![X3]:~big_p(X3)))&(big_p(skolem0001)|big_p(skolem0002)))|((~big_p(skolem0003)|(![X6]:~big_p(X6)))&((![X7]:big_p(X7))|big_p(skolem0004))))&((((![X9]:~big_p(X9))|big_p(skolem0005))&((![X11]:~big_p(X11))|(![X12]:big_p(X12))))|((~big_p(skolem0006)|big_p(skolem0007))&((![X15]:~big_p(X15))|(![X16]:big_p(X16)))))),inference(skolemize,status(esa),[c3])).])).
% 0.40/0.60  fof(c6,negated_conjecture,(![X3]:(![X6]:(![X7]:(![X9]:(![X11]:(![X12]:(![X15]:(![X16]:(((((~big_p(skolem0001)|~big_p(X3))|(~big_p(skolem0003)|~big_p(X6)))&((~big_p(skolem0001)|~big_p(X3))|(big_p(X7)|big_p(skolem0004))))&(((big_p(skolem0001)|big_p(skolem0002))|(~big_p(skolem0003)|~big_p(X6)))&((big_p(skolem0001)|big_p(skolem0002))|(big_p(X7)|big_p(skolem0004)))))&((((~big_p(X9)|big_p(skolem0005))|(~big_p(skolem0006)|big_p(skolem0007)))&((~big_p(X9)|big_p(skolem0005))|(~big_p(X15)|big_p(X16))))&(((~big_p(X11)|big_p(X12))|(~big_p(skolem0006)|big_p(skolem0007)))&((~big_p(X11)|big_p(X12))|(~big_p(X15)|big_p(X16)))))))))))))),inference(distribute,status(thm),[c5])).
% 0.40/0.60  cnf(c10,negated_conjecture,big_p(skolem0001)|big_p(skolem0002)|big_p(X31)|big_p(skolem0004),inference(split_conjunct,status(thm),[c6])).
% 0.40/0.60  cnf(c15,plain,big_p(skolem0001)|big_p(skolem0002)|big_p(skolem0004),inference(factor,status(thm),[c10])).
% 0.40/0.60  cnf(c14,negated_conjecture,~big_p(X17)|big_p(X18)|~big_p(X20)|big_p(X19),inference(split_conjunct,status(thm),[c6])).
% 0.40/0.60  cnf(c26,plain,big_p(skolem0002)|big_p(skolem0004)|~big_p(X38)|big_p(X37)|big_p(X39),inference(resolution,status(thm),[c15, c14])).
% 0.40/0.60  cnf(c37,plain,big_p(skolem0002)|big_p(skolem0004)|big_p(X41)|big_p(X40),inference(resolution,status(thm),[c26, c15])).
% 0.40/0.60  cnf(c38,plain,big_p(skolem0002)|big_p(skolem0004)|big_p(X42),inference(factor,status(thm),[c37])).
% 0.40/0.60  cnf(c51,plain,big_p(skolem0002)|big_p(skolem0004),inference(factor,status(thm),[c38])).
% 0.40/0.60  cnf(c59,plain,big_p(skolem0004)|~big_p(X50)|big_p(X49)|big_p(X51),inference(resolution,status(thm),[c51, c14])).
% 0.40/0.60  cnf(c63,plain,big_p(skolem0004)|big_p(X57)|big_p(X56),inference(resolution,status(thm),[c59, c51])).
% 0.40/0.60  cnf(c65,plain,big_p(skolem0004)|big_p(X58),inference(factor,status(thm),[c63])).
% 0.40/0.60  cnf(c74,plain,big_p(skolem0004),inference(factor,status(thm),[c65])).
% 0.40/0.60  cnf(c80,plain,~big_p(X64)|big_p(X63)|big_p(X65),inference(resolution,status(thm),[c74, c14])).
% 0.40/0.60  cnf(c81,plain,big_p(X66)|big_p(X67),inference(resolution,status(thm),[c80, c74])).
% 0.40/0.60  cnf(c82,plain,big_p(X68),inference(factor,status(thm),[c81])).
% 0.40/0.60  cnf(c7,negated_conjecture,~big_p(skolem0001)|~big_p(X25)|~big_p(skolem0003)|~big_p(X24),inference(split_conjunct,status(thm),[c6])).
% 0.40/0.60  cnf(c79,plain,~big_p(skolem0001)|~big_p(X69)|~big_p(skolem0003),inference(resolution,status(thm),[c74, c7])).
% 0.40/0.60  cnf(c86,plain,~big_p(skolem0001)|~big_p(X70),inference(resolution,status(thm),[c79, c82])).
% 0.40/0.60  cnf(c87,plain,~big_p(skolem0001),inference(resolution,status(thm),[c86, c82])).
% 0.40/0.60  cnf(c88,plain,$false,inference(resolution,status(thm),[c87, c82])).
% 0.40/0.60  # SZS output end CNFRefutation
% 0.40/0.60  
% 0.40/0.60  # Initial clauses    : 8
% 0.40/0.60  # Processed clauses  : 19
% 0.40/0.60  # Factors computed   : 15
% 0.40/0.60  # Resolvents computed: 59
% 0.40/0.60  # Tautologies deleted: 1
% 0.40/0.60  # Forward subsumed   : 17
% 0.40/0.60  # Backward subsumed  : 17
% 0.40/0.60  # -------- CPU Time ---------
% 0.40/0.60  # User time          : 0.215 s
% 0.40/0.60  # System time        : 0.012 s
% 0.40/0.60  # Total time         : 0.227 s
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