TSTP Solution File: COM017+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : COM017+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n004.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 : Fri Jul 15 01:39:09 EDT 2022
% Result : Theorem 66.63s 66.90s
% Output : Refutation 66.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COM017+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 16 18:06:09 EDT 2022
% 0.13/0.34 % CPUTime :
% 66.63/66.90 # Version: 1.3
% 66.63/66.90 # SZS status Theorem
% 66.63/66.90 # SZS output start CNFRefutation
% 66.63/66.90 fof(m__656,plain,aRewritingSystem0(xR),input).
% 66.63/66.90 cnf(c34,plain,aRewritingSystem0(xR),inference(split_conjunct,status(thm),[m__656])).
% 66.63/66.90 fof(m__656_01,plain,(isLocallyConfluent0(xR)&isTerminating0(xR)),input).
% 66.63/66.90 cnf(c32,plain,isLocallyConfluent0(xR),inference(split_conjunct,status(thm),[m__656_01])).
% 66.63/66.90 fof(m__731,plain,((aElement0(xa)&aElement0(xb))&aElement0(xc)),input).
% 66.63/66.90 cnf(c29,plain,aElement0(xa),inference(split_conjunct,status(thm),[m__731])).
% 66.63/66.90 fof(m__779,plain,((aElement0(xv)&aReductOfIn0(xv,xa,xR))&sdtmndtasgtdt0(xv,xR,xc)),input).
% 66.63/66.90 cnf(c14,plain,aElement0(xv),inference(split_conjunct,status(thm),[m__779])).
% 66.63/66.90 fof(m__755,plain,((aElement0(xu)&aReductOfIn0(xu,xa,xR))&sdtmndtasgtdt0(xu,xR,xb)),input).
% 66.63/66.90 cnf(c17,plain,aElement0(xu),inference(split_conjunct,status(thm),[m__755])).
% 66.63/66.90 cnf(c15,plain,aReductOfIn0(xv,xa,xR),inference(split_conjunct,status(thm),[m__779])).
% 66.63/66.90 cnf(c18,plain,aReductOfIn0(xu,xa,xR),inference(split_conjunct,status(thm),[m__755])).
% 66.63/66.90 fof(mWCRDef,plain,(![W0]:(aRewritingSystem0(W0)=>(isLocallyConfluent0(W0)<=>(![W1]:(![W2]:(![W3]:(((((aElement0(W1)&aElement0(W2))&aElement0(W3))&aReductOfIn0(W2,W1,W0))&aReductOfIn0(W3,W1,W0))=>(?[W4]:((aElement0(W4)&sdtmndtasgtdt0(W2,W0,W4))&sdtmndtasgtdt0(W3,W0,W4)))))))))),input).
% 66.63/66.90 fof(c60,plain,(![W0]:(~aRewritingSystem0(W0)|((~isLocallyConfluent0(W0)|(![W1]:(![W2]:(![W3]:(((((~aElement0(W1)|~aElement0(W2))|~aElement0(W3))|~aReductOfIn0(W2,W1,W0))|~aReductOfIn0(W3,W1,W0))|(?[W4]:((aElement0(W4)&sdtmndtasgtdt0(W2,W0,W4))&sdtmndtasgtdt0(W3,W0,W4))))))))&((?[W1]:(?[W2]:(?[W3]:(((((aElement0(W1)&aElement0(W2))&aElement0(W3))&aReductOfIn0(W2,W1,W0))&aReductOfIn0(W3,W1,W0))&(![W4]:((~aElement0(W4)|~sdtmndtasgtdt0(W2,W0,W4))|~sdtmndtasgtdt0(W3,W0,W4)))))))|isLocallyConfluent0(W0))))),inference(fof_nnf,status(thm),[mWCRDef])).
% 66.63/66.90 fof(c61,plain,(![X21]:(~aRewritingSystem0(X21)|((~isLocallyConfluent0(X21)|(![X22]:(![X23]:(![X24]:(((((~aElement0(X22)|~aElement0(X23))|~aElement0(X24))|~aReductOfIn0(X23,X22,X21))|~aReductOfIn0(X24,X22,X21))|(?[X25]:((aElement0(X25)&sdtmndtasgtdt0(X23,X21,X25))&sdtmndtasgtdt0(X24,X21,X25))))))))&((?[X26]:(?[X27]:(?[X28]:(((((aElement0(X26)&aElement0(X27))&aElement0(X28))&aReductOfIn0(X27,X26,X21))&aReductOfIn0(X28,X26,X21))&(![X29]:((~aElement0(X29)|~sdtmndtasgtdt0(X27,X21,X29))|~sdtmndtasgtdt0(X28,X21,X29)))))))|isLocallyConfluent0(X21))))),inference(variable_rename,status(thm),[c60])).
% 66.63/66.90 fof(c63,plain,(![X21]:(![X22]:(![X23]:(![X24]:(![X29]:(~aRewritingSystem0(X21)|((~isLocallyConfluent0(X21)|(((((~aElement0(X22)|~aElement0(X23))|~aElement0(X24))|~aReductOfIn0(X23,X22,X21))|~aReductOfIn0(X24,X22,X21))|((aElement0(skolem0006(X21,X22,X23,X24))&sdtmndtasgtdt0(X23,X21,skolem0006(X21,X22,X23,X24)))&sdtmndtasgtdt0(X24,X21,skolem0006(X21,X22,X23,X24)))))&((((((aElement0(skolem0007(X21))&aElement0(skolem0008(X21)))&aElement0(skolem0009(X21)))&aReductOfIn0(skolem0008(X21),skolem0007(X21),X21))&aReductOfIn0(skolem0009(X21),skolem0007(X21),X21))&((~aElement0(X29)|~sdtmndtasgtdt0(skolem0008(X21),X21,X29))|~sdtmndtasgtdt0(skolem0009(X21),X21,X29)))|isLocallyConfluent0(X21))))))))),inference(shift_quantors,status(thm),[fof(c62,plain,(![X21]:(~aRewritingSystem0(X21)|((~isLocallyConfluent0(X21)|(![X22]:(![X23]:(![X24]:(((((~aElement0(X22)|~aElement0(X23))|~aElement0(X24))|~aReductOfIn0(X23,X22,X21))|~aReductOfIn0(X24,X22,X21))|((aElement0(skolem0006(X21,X22,X23,X24))&sdtmndtasgtdt0(X23,X21,skolem0006(X21,X22,X23,X24)))&sdtmndtasgtdt0(X24,X21,skolem0006(X21,X22,X23,X24))))))))&((((((aElement0(skolem0007(X21))&aElement0(skolem0008(X21)))&aElement0(skolem0009(X21)))&aReductOfIn0(skolem0008(X21),skolem0007(X21),X21))&aReductOfIn0(skolem0009(X21),skolem0007(X21),X21))&(![X29]:((~aElement0(X29)|~sdtmndtasgtdt0(skolem0008(X21),X21,X29))|~sdtmndtasgtdt0(skolem0009(X21),X21,X29))))|isLocallyConfluent0(X21))))),inference(skolemize,status(esa),[c61])).])).
% 66.63/66.90 fof(c64,plain,(![X21]:(![X22]:(![X23]:(![X24]:(![X29]:((((~aRewritingSystem0(X21)|(~isLocallyConfluent0(X21)|(((((~aElement0(X22)|~aElement0(X23))|~aElement0(X24))|~aReductOfIn0(X23,X22,X21))|~aReductOfIn0(X24,X22,X21))|aElement0(skolem0006(X21,X22,X23,X24)))))&(~aRewritingSystem0(X21)|(~isLocallyConfluent0(X21)|(((((~aElement0(X22)|~aElement0(X23))|~aElement0(X24))|~aReductOfIn0(X23,X22,X21))|~aReductOfIn0(X24,X22,X21))|sdtmndtasgtdt0(X23,X21,skolem0006(X21,X22,X23,X24))))))&(~aRewritingSystem0(X21)|(~isLocallyConfluent0(X21)|(((((~aElement0(X22)|~aElement0(X23))|~aElement0(X24))|~aReductOfIn0(X23,X22,X21))|~aReductOfIn0(X24,X22,X21))|sdtmndtasgtdt0(X24,X21,skolem0006(X21,X22,X23,X24))))))&((((((~aRewritingSystem0(X21)|(aElement0(skolem0007(X21))|isLocallyConfluent0(X21)))&(~aRewritingSystem0(X21)|(aElement0(skolem0008(X21))|isLocallyConfluent0(X21))))&(~aRewritingSystem0(X21)|(aElement0(skolem0009(X21))|isLocallyConfluent0(X21))))&(~aRewritingSystem0(X21)|(aReductOfIn0(skolem0008(X21),skolem0007(X21),X21)|isLocallyConfluent0(X21))))&(~aRewritingSystem0(X21)|(aReductOfIn0(skolem0009(X21),skolem0007(X21),X21)|isLocallyConfluent0(X21))))&(~aRewritingSystem0(X21)|(((~aElement0(X29)|~sdtmndtasgtdt0(skolem0008(X21),X21,X29))|~sdtmndtasgtdt0(skolem0009(X21),X21,X29))|isLocallyConfluent0(X21)))))))))),inference(distribute,status(thm),[c63])).
% 66.63/66.90 cnf(c65,plain,~aRewritingSystem0(X162)|~isLocallyConfluent0(X162)|~aElement0(X165)|~aElement0(X164)|~aElement0(X163)|~aReductOfIn0(X164,X165,X162)|~aReductOfIn0(X163,X165,X162)|aElement0(skolem0006(X162,X165,X164,X163)),inference(split_conjunct,status(thm),[c64])).
% 66.63/66.90 cnf(c203,plain,~aRewritingSystem0(xR)|~isLocallyConfluent0(xR)|~aElement0(xa)|~aElement0(X390)|~aElement0(xu)|~aReductOfIn0(X390,xa,xR)|aElement0(skolem0006(xR,xa,X390,xu)),inference(resolution,status(thm),[c65, c18])).
% 66.63/66.90 cnf(c682,plain,~aRewritingSystem0(xR)|~isLocallyConfluent0(xR)|~aElement0(xa)|~aElement0(xv)|~aElement0(xu)|aElement0(skolem0006(xR,xa,xv,xu)),inference(resolution,status(thm),[c203, c15])).
% 66.63/66.90 cnf(c6611,plain,~aRewritingSystem0(xR)|~isLocallyConfluent0(xR)|~aElement0(xa)|~aElement0(xv)|aElement0(skolem0006(xR,xa,xv,xu)),inference(resolution,status(thm),[c682, c17])).
% 66.63/66.90 cnf(c8470,plain,~aRewritingSystem0(xR)|~isLocallyConfluent0(xR)|~aElement0(xa)|aElement0(skolem0006(xR,xa,xv,xu)),inference(resolution,status(thm),[c6611, c14])).
% 66.63/66.90 cnf(c8472,plain,~aRewritingSystem0(xR)|~isLocallyConfluent0(xR)|aElement0(skolem0006(xR,xa,xv,xu)),inference(resolution,status(thm),[c8470, c29])).
% 66.63/66.90 cnf(c8473,plain,~aRewritingSystem0(xR)|aElement0(skolem0006(xR,xa,xv,xu)),inference(resolution,status(thm),[c8472, c32])).
% 66.63/66.90 cnf(c8474,plain,aElement0(skolem0006(xR,xa,xv,xu)),inference(resolution,status(thm),[c8473, c34])).
% 66.63/66.90 fof(m__,conjecture,(?[W0]:((aElement0(W0)&sdtmndtasgtdt0(xu,xR,W0))&sdtmndtasgtdt0(xv,xR,W0))),input).
% 66.63/66.90 fof(c10,negated_conjecture,(~(?[W0]:((aElement0(W0)&sdtmndtasgtdt0(xu,xR,W0))&sdtmndtasgtdt0(xv,xR,W0)))),inference(assume_negation,status(cth),[m__])).
% 66.63/66.90 fof(c11,negated_conjecture,(![W0]:((~aElement0(W0)|~sdtmndtasgtdt0(xu,xR,W0))|~sdtmndtasgtdt0(xv,xR,W0))),inference(fof_nnf,status(thm),[c10])).
% 66.63/66.90 fof(c12,negated_conjecture,(![X2]:((~aElement0(X2)|~sdtmndtasgtdt0(xu,xR,X2))|~sdtmndtasgtdt0(xv,xR,X2))),inference(variable_rename,status(thm),[c11])).
% 66.63/66.90 cnf(c13,negated_conjecture,~aElement0(X125)|~sdtmndtasgtdt0(xu,xR,X125)|~sdtmndtasgtdt0(xv,xR,X125),inference(split_conjunct,status(thm),[c12])).
% 66.63/66.90 cnf(c66,plain,~aRewritingSystem0(X166)|~isLocallyConfluent0(X166)|~aElement0(X169)|~aElement0(X168)|~aElement0(X167)|~aReductOfIn0(X168,X169,X166)|~aReductOfIn0(X167,X169,X166)|sdtmndtasgtdt0(X168,X166,skolem0006(X166,X169,X168,X167)),inference(split_conjunct,status(thm),[c64])).
% 66.63/66.90 cnf(c212,plain,~aRewritingSystem0(xR)|~isLocallyConfluent0(xR)|~aElement0(xa)|~aElement0(X404)|~aElement0(xu)|~aReductOfIn0(X404,xa,xR)|sdtmndtasgtdt0(X404,xR,skolem0006(xR,xa,X404,xu)),inference(resolution,status(thm),[c66, c18])).
% 66.63/66.90 cnf(c695,plain,~aRewritingSystem0(xR)|~isLocallyConfluent0(xR)|~aElement0(xa)|~aElement0(xv)|~aElement0(xu)|sdtmndtasgtdt0(xv,xR,skolem0006(xR,xa,xv,xu)),inference(resolution,status(thm),[c212, c15])).
% 66.63/66.90 cnf(c6648,plain,~aRewritingSystem0(xR)|~isLocallyConfluent0(xR)|~aElement0(xa)|~aElement0(xv)|sdtmndtasgtdt0(xv,xR,skolem0006(xR,xa,xv,xu)),inference(resolution,status(thm),[c695, c17])).
% 66.63/66.90 cnf(c43786,plain,~aRewritingSystem0(xR)|~isLocallyConfluent0(xR)|~aElement0(xa)|sdtmndtasgtdt0(xv,xR,skolem0006(xR,xa,xv,xu)),inference(resolution,status(thm),[c6648, c14])).
% 66.63/66.90 cnf(c43787,plain,~aRewritingSystem0(xR)|~isLocallyConfluent0(xR)|sdtmndtasgtdt0(xv,xR,skolem0006(xR,xa,xv,xu)),inference(resolution,status(thm),[c43786, c29])).
% 66.63/66.90 cnf(c43788,plain,~aRewritingSystem0(xR)|sdtmndtasgtdt0(xv,xR,skolem0006(xR,xa,xv,xu)),inference(resolution,status(thm),[c43787, c32])).
% 66.63/66.90 cnf(c43789,plain,sdtmndtasgtdt0(xv,xR,skolem0006(xR,xa,xv,xu)),inference(resolution,status(thm),[c43788, c34])).
% 66.63/66.90 cnf(c43805,plain,~aElement0(skolem0006(xR,xa,xv,xu))|~sdtmndtasgtdt0(xu,xR,skolem0006(xR,xa,xv,xu)),inference(resolution,status(thm),[c43789, c13])).
% 66.63/66.90 cnf(c67,plain,~aRewritingSystem0(X170)|~isLocallyConfluent0(X170)|~aElement0(X173)|~aElement0(X172)|~aElement0(X171)|~aReductOfIn0(X172,X173,X170)|~aReductOfIn0(X171,X173,X170)|sdtmndtasgtdt0(X171,X170,skolem0006(X170,X173,X172,X171)),inference(split_conjunct,status(thm),[c64])).
% 66.63/66.90 cnf(c219,plain,~aRewritingSystem0(xR)|~isLocallyConfluent0(xR)|~aElement0(xa)|~aElement0(X421)|~aElement0(xu)|~aReductOfIn0(X421,xa,xR)|sdtmndtasgtdt0(xu,xR,skolem0006(xR,xa,X421,xu)),inference(resolution,status(thm),[c67, c18])).
% 66.63/66.90 cnf(c706,plain,~aRewritingSystem0(xR)|~isLocallyConfluent0(xR)|~aElement0(xa)|~aElement0(xv)|~aElement0(xu)|sdtmndtasgtdt0(xu,xR,skolem0006(xR,xa,xv,xu)),inference(resolution,status(thm),[c219, c15])).
% 66.63/66.90 cnf(c6704,plain,~aRewritingSystem0(xR)|~isLocallyConfluent0(xR)|~aElement0(xa)|~aElement0(xv)|sdtmndtasgtdt0(xu,xR,skolem0006(xR,xa,xv,xu)),inference(resolution,status(thm),[c706, c17])).
% 66.63/66.90 cnf(c44046,plain,~aRewritingSystem0(xR)|~isLocallyConfluent0(xR)|~aElement0(xa)|sdtmndtasgtdt0(xu,xR,skolem0006(xR,xa,xv,xu)),inference(resolution,status(thm),[c6704, c14])).
% 66.63/66.90 cnf(c44047,plain,~aRewritingSystem0(xR)|~isLocallyConfluent0(xR)|sdtmndtasgtdt0(xu,xR,skolem0006(xR,xa,xv,xu)),inference(resolution,status(thm),[c44046, c29])).
% 66.63/66.90 cnf(c44048,plain,~aRewritingSystem0(xR)|sdtmndtasgtdt0(xu,xR,skolem0006(xR,xa,xv,xu)),inference(resolution,status(thm),[c44047, c32])).
% 66.63/66.90 cnf(c44049,plain,sdtmndtasgtdt0(xu,xR,skolem0006(xR,xa,xv,xu)),inference(resolution,status(thm),[c44048, c34])).
% 66.63/66.90 cnf(c44060,plain,~aElement0(skolem0006(xR,xa,xv,xu)),inference(resolution,status(thm),[c44049, c43805])).
% 66.63/66.90 cnf(c44086,plain,$false,inference(resolution,status(thm),[c44060, c8474])).
% 66.63/66.90 # SZS output end CNFRefutation
% 66.63/66.90
% 66.63/66.90 # Initial clauses : 74
% 66.63/66.90 # Processed clauses : 4603
% 66.63/66.90 # Factors computed : 0
% 66.63/66.90 # Resolvents computed: 43965
% 66.63/66.90 # Tautologies deleted: 126
% 66.63/66.90 # Forward subsumed : 1512
% 66.63/66.90 # Backward subsumed : 1452
% 66.63/66.90 # -------- CPU Time ---------
% 66.63/66.90 # User time : 66.381 s
% 66.63/66.90 # System time : 0.138 s
% 66.63/66.90 # Total time : 66.519 s
%------------------------------------------------------------------------------