TSTP Solution File: COM018+4 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : COM018+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n014.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 01:39:10 EDT 2022
% Result : Theorem 0.67s 0.93s
% Output : Refutation 0.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COM018+4 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.33 % Computer : n014.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Thu Jun 16 17:44:05 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.67/0.93 # Version: 1.3
% 0.67/0.93 # SZS status Theorem
% 0.67/0.93 # SZS output start CNFRefutation
% 0.67/0.93 fof(m__,conjecture,(?[W0]:(((aElement0(W0)&((((xw=W0|aReductOfIn0(W0,xw,xR))|(?[W1]:((aElement0(W1)&aReductOfIn0(W1,xw,xR))&sdtmndtplgtdt0(W1,xR,W0))))|sdtmndtplgtdt0(xw,xR,W0))|sdtmndtasgtdt0(xw,xR,W0)))&(~(?[W1]:aReductOfIn0(W1,W0,xR))))|aNormalFormOfIn0(W0,xw,xR))),input).
% 0.67/0.93 fof(c10,negated_conjecture,(~(?[W0]:(((aElement0(W0)&((((xw=W0|aReductOfIn0(W0,xw,xR))|(?[W1]:((aElement0(W1)&aReductOfIn0(W1,xw,xR))&sdtmndtplgtdt0(W1,xR,W0))))|sdtmndtplgtdt0(xw,xR,W0))|sdtmndtasgtdt0(xw,xR,W0)))&(~(?[W1]:aReductOfIn0(W1,W0,xR))))|aNormalFormOfIn0(W0,xw,xR)))),inference(assume_negation,status(cth),[m__])).
% 0.67/0.93 fof(c11,negated_conjecture,(![W0]:(((~aElement0(W0)|((((xw!=W0&~aReductOfIn0(W0,xw,xR))&(![W1]:((~aElement0(W1)|~aReductOfIn0(W1,xw,xR))|~sdtmndtplgtdt0(W1,xR,W0))))&~sdtmndtplgtdt0(xw,xR,W0))&~sdtmndtasgtdt0(xw,xR,W0)))|(?[W1]:aReductOfIn0(W1,W0,xR)))&~aNormalFormOfIn0(W0,xw,xR))),inference(fof_nnf,status(thm),[c10])).
% 0.67/0.93 fof(c12,negated_conjecture,((![W0]:((~aElement0(W0)|((((xw!=W0&~aReductOfIn0(W0,xw,xR))&(![W1]:((~aElement0(W1)|~aReductOfIn0(W1,xw,xR))|~sdtmndtplgtdt0(W1,xR,W0))))&~sdtmndtplgtdt0(xw,xR,W0))&~sdtmndtasgtdt0(xw,xR,W0)))|(?[W1]:aReductOfIn0(W1,W0,xR))))&(![W0]:~aNormalFormOfIn0(W0,xw,xR))),inference(shift_quantors,status(thm),[c11])).
% 0.67/0.93 fof(c13,negated_conjecture,((![X2]:((~aElement0(X2)|((((xw!=X2&~aReductOfIn0(X2,xw,xR))&(![X3]:((~aElement0(X3)|~aReductOfIn0(X3,xw,xR))|~sdtmndtplgtdt0(X3,xR,X2))))&~sdtmndtplgtdt0(xw,xR,X2))&~sdtmndtasgtdt0(xw,xR,X2)))|(?[X4]:aReductOfIn0(X4,X2,xR))))&(![X5]:~aNormalFormOfIn0(X5,xw,xR))),inference(variable_rename,status(thm),[c12])).
% 0.67/0.93 fof(c15,negated_conjecture,(![X2]:(![X3]:(![X5]:(((~aElement0(X2)|((((xw!=X2&~aReductOfIn0(X2,xw,xR))&((~aElement0(X3)|~aReductOfIn0(X3,xw,xR))|~sdtmndtplgtdt0(X3,xR,X2)))&~sdtmndtplgtdt0(xw,xR,X2))&~sdtmndtasgtdt0(xw,xR,X2)))|aReductOfIn0(skolem0001(X2),X2,xR))&~aNormalFormOfIn0(X5,xw,xR))))),inference(shift_quantors,status(thm),[fof(c14,negated_conjecture,((![X2]:((~aElement0(X2)|((((xw!=X2&~aReductOfIn0(X2,xw,xR))&(![X3]:((~aElement0(X3)|~aReductOfIn0(X3,xw,xR))|~sdtmndtplgtdt0(X3,xR,X2))))&~sdtmndtplgtdt0(xw,xR,X2))&~sdtmndtasgtdt0(xw,xR,X2)))|aReductOfIn0(skolem0001(X2),X2,xR)))&(![X5]:~aNormalFormOfIn0(X5,xw,xR))),inference(skolemize,status(esa),[c13])).])).
% 0.67/0.93 fof(c16,negated_conjecture,(![X2]:(![X3]:(![X5]:(((((((~aElement0(X2)|xw!=X2)|aReductOfIn0(skolem0001(X2),X2,xR))&((~aElement0(X2)|~aReductOfIn0(X2,xw,xR))|aReductOfIn0(skolem0001(X2),X2,xR)))&((~aElement0(X2)|((~aElement0(X3)|~aReductOfIn0(X3,xw,xR))|~sdtmndtplgtdt0(X3,xR,X2)))|aReductOfIn0(skolem0001(X2),X2,xR)))&((~aElement0(X2)|~sdtmndtplgtdt0(xw,xR,X2))|aReductOfIn0(skolem0001(X2),X2,xR)))&((~aElement0(X2)|~sdtmndtasgtdt0(xw,xR,X2))|aReductOfIn0(skolem0001(X2),X2,xR)))&~aNormalFormOfIn0(X5,xw,xR))))),inference(distribute,status(thm),[c15])).
% 0.67/0.93 cnf(c22,negated_conjecture,~aNormalFormOfIn0(X90,xw,xR),inference(split_conjunct,status(thm),[c16])).
% 0.67/0.93 fof(m__656,plain,aRewritingSystem0(xR),input).
% 0.67/0.93 cnf(c372,plain,aRewritingSystem0(xR),inference(split_conjunct,status(thm),[m__656])).
% 0.67/0.93 fof(m__656_01,plain,((((![W0]:(![W1]:(![W2]:(((((aElement0(W0)&aElement0(W1))&aElement0(W2))&aReductOfIn0(W1,W0,xR))&aReductOfIn0(W2,W0,xR))=>(?[W3]:((((aElement0(W3)&(W1=W3|((aReductOfIn0(W3,W1,xR)|(?[W4]:((aElement0(W4)&aReductOfIn0(W4,W1,xR))&sdtmndtplgtdt0(W4,xR,W3))))&sdtmndtplgtdt0(W1,xR,W3))))&sdtmndtasgtdt0(W1,xR,W3))&(W2=W3|((aReductOfIn0(W3,W2,xR)|(?[W4]:((aElement0(W4)&aReductOfIn0(W4,W2,xR))&sdtmndtplgtdt0(W4,xR,W3))))&sdtmndtplgtdt0(W2,xR,W3))))&sdtmndtasgtdt0(W2,xR,W3)))))))&isLocallyConfluent0(xR))&(![W0]:(![W1]:((aElement0(W0)&aElement0(W1))=>(((aReductOfIn0(W1,W0,xR)|(?[W2]:((aElement0(W2)&aReductOfIn0(W2,W0,xR))&sdtmndtplgtdt0(W2,xR,W1))))|sdtmndtplgtdt0(W0,xR,W1))=>iLess0(W1,W0))))))&isTerminating0(xR)),input).
% 0.67/0.93 fof(c351,plain,((((![W0]:(![W1]:(![W2]:(((((~aElement0(W0)|~aElement0(W1))|~aElement0(W2))|~aReductOfIn0(W1,W0,xR))|~aReductOfIn0(W2,W0,xR))|(?[W3]:((((aElement0(W3)&(W1=W3|((aReductOfIn0(W3,W1,xR)|(?[W4]:((aElement0(W4)&aReductOfIn0(W4,W1,xR))&sdtmndtplgtdt0(W4,xR,W3))))&sdtmndtplgtdt0(W1,xR,W3))))&sdtmndtasgtdt0(W1,xR,W3))&(W2=W3|((aReductOfIn0(W3,W2,xR)|(?[W4]:((aElement0(W4)&aReductOfIn0(W4,W2,xR))&sdtmndtplgtdt0(W4,xR,W3))))&sdtmndtplgtdt0(W2,xR,W3))))&sdtmndtasgtdt0(W2,xR,W3)))))))&isLocallyConfluent0(xR))&(![W0]:(![W1]:((~aElement0(W0)|~aElement0(W1))|(((~aReductOfIn0(W1,W0,xR)&(![W2]:((~aElement0(W2)|~aReductOfIn0(W2,W0,xR))|~sdtmndtplgtdt0(W2,xR,W1))))&~sdtmndtplgtdt0(W0,xR,W1))|iLess0(W1,W0))))))&isTerminating0(xR)),inference(fof_nnf,status(thm),[m__656_01])).
% 0.67/0.93 fof(c352,plain,((((![X20]:(![X21]:(![X22]:(((((~aElement0(X20)|~aElement0(X21))|~aElement0(X22))|~aReductOfIn0(X21,X20,xR))|~aReductOfIn0(X22,X20,xR))|(?[X23]:((((aElement0(X23)&(X21=X23|((aReductOfIn0(X23,X21,xR)|(?[X24]:((aElement0(X24)&aReductOfIn0(X24,X21,xR))&sdtmndtplgtdt0(X24,xR,X23))))&sdtmndtplgtdt0(X21,xR,X23))))&sdtmndtasgtdt0(X21,xR,X23))&(X22=X23|((aReductOfIn0(X23,X22,xR)|(?[X25]:((aElement0(X25)&aReductOfIn0(X25,X22,xR))&sdtmndtplgtdt0(X25,xR,X23))))&sdtmndtplgtdt0(X22,xR,X23))))&sdtmndtasgtdt0(X22,xR,X23)))))))&isLocallyConfluent0(xR))&(![X26]:(![X27]:((~aElement0(X26)|~aElement0(X27))|(((~aReductOfIn0(X27,X26,xR)&(![X28]:((~aElement0(X28)|~aReductOfIn0(X28,X26,xR))|~sdtmndtplgtdt0(X28,xR,X27))))&~sdtmndtplgtdt0(X26,xR,X27))|iLess0(X27,X26))))))&isTerminating0(xR)),inference(variable_rename,status(thm),[c351])).
% 0.67/0.93 fof(c354,plain,(![X20]:(![X21]:(![X22]:(![X26]:(![X27]:(![X28]:((((((((~aElement0(X20)|~aElement0(X21))|~aElement0(X22))|~aReductOfIn0(X21,X20,xR))|~aReductOfIn0(X22,X20,xR))|((((aElement0(skolem0011(X20,X21,X22))&(X21=skolem0011(X20,X21,X22)|((aReductOfIn0(skolem0011(X20,X21,X22),X21,xR)|((aElement0(skolem0012(X20,X21,X22))&aReductOfIn0(skolem0012(X20,X21,X22),X21,xR))&sdtmndtplgtdt0(skolem0012(X20,X21,X22),xR,skolem0011(X20,X21,X22))))&sdtmndtplgtdt0(X21,xR,skolem0011(X20,X21,X22)))))&sdtmndtasgtdt0(X21,xR,skolem0011(X20,X21,X22)))&(X22=skolem0011(X20,X21,X22)|((aReductOfIn0(skolem0011(X20,X21,X22),X22,xR)|((aElement0(skolem0013(X20,X21,X22))&aReductOfIn0(skolem0013(X20,X21,X22),X22,xR))&sdtmndtplgtdt0(skolem0013(X20,X21,X22),xR,skolem0011(X20,X21,X22))))&sdtmndtplgtdt0(X22,xR,skolem0011(X20,X21,X22)))))&sdtmndtasgtdt0(X22,xR,skolem0011(X20,X21,X22))))&isLocallyConfluent0(xR))&((~aElement0(X26)|~aElement0(X27))|(((~aReductOfIn0(X27,X26,xR)&((~aElement0(X28)|~aReductOfIn0(X28,X26,xR))|~sdtmndtplgtdt0(X28,xR,X27)))&~sdtmndtplgtdt0(X26,xR,X27))|iLess0(X27,X26))))&isTerminating0(xR)))))))),inference(shift_quantors,status(thm),[fof(c353,plain,((((![X20]:(![X21]:(![X22]:(((((~aElement0(X20)|~aElement0(X21))|~aElement0(X22))|~aReductOfIn0(X21,X20,xR))|~aReductOfIn0(X22,X20,xR))|((((aElement0(skolem0011(X20,X21,X22))&(X21=skolem0011(X20,X21,X22)|((aReductOfIn0(skolem0011(X20,X21,X22),X21,xR)|((aElement0(skolem0012(X20,X21,X22))&aReductOfIn0(skolem0012(X20,X21,X22),X21,xR))&sdtmndtplgtdt0(skolem0012(X20,X21,X22),xR,skolem0011(X20,X21,X22))))&sdtmndtplgtdt0(X21,xR,skolem0011(X20,X21,X22)))))&sdtmndtasgtdt0(X21,xR,skolem0011(X20,X21,X22)))&(X22=skolem0011(X20,X21,X22)|((aReductOfIn0(skolem0011(X20,X21,X22),X22,xR)|((aElement0(skolem0013(X20,X21,X22))&aReductOfIn0(skolem0013(X20,X21,X22),X22,xR))&sdtmndtplgtdt0(skolem0013(X20,X21,X22),xR,skolem0011(X20,X21,X22))))&sdtmndtplgtdt0(X22,xR,skolem0011(X20,X21,X22)))))&sdtmndtasgtdt0(X22,xR,skolem0011(X20,X21,X22)))))))&isLocallyConfluent0(xR))&(![X26]:(![X27]:((~aElement0(X26)|~aElement0(X27))|(((~aReductOfIn0(X27,X26,xR)&(![X28]:((~aElement0(X28)|~aReductOfIn0(X28,X26,xR))|~sdtmndtplgtdt0(X28,xR,X27))))&~sdtmndtplgtdt0(X26,xR,X27))|iLess0(X27,X26))))))&isTerminating0(xR)),inference(skolemize,status(esa),[c352])).])).
% 0.67/0.93 fof(c355,plain,(![X20]:(![X21]:(![X22]:(![X26]:(![X27]:(![X28]:((((((((((((~aElement0(X20)|~aElement0(X21))|~aElement0(X22))|~aReductOfIn0(X21,X20,xR))|~aReductOfIn0(X22,X20,xR))|aElement0(skolem0011(X20,X21,X22)))&((((((((~aElement0(X20)|~aElement0(X21))|~aElement0(X22))|~aReductOfIn0(X21,X20,xR))|~aReductOfIn0(X22,X20,xR))|(X21=skolem0011(X20,X21,X22)|(aReductOfIn0(skolem0011(X20,X21,X22),X21,xR)|aElement0(skolem0012(X20,X21,X22)))))&(((((~aElement0(X20)|~aElement0(X21))|~aElement0(X22))|~aReductOfIn0(X21,X20,xR))|~aReductOfIn0(X22,X20,xR))|(X21=skolem0011(X20,X21,X22)|(aReductOfIn0(skolem0011(X20,X21,X22),X21,xR)|aReductOfIn0(skolem0012(X20,X21,X22),X21,xR)))))&(((((~aElement0(X20)|~aElement0(X21))|~aElement0(X22))|~aReductOfIn0(X21,X20,xR))|~aReductOfIn0(X22,X20,xR))|(X21=skolem0011(X20,X21,X22)|(aReductOfIn0(skolem0011(X20,X21,X22),X21,xR)|sdtmndtplgtdt0(skolem0012(X20,X21,X22),xR,skolem0011(X20,X21,X22))))))&(((((~aElement0(X20)|~aElement0(X21))|~aElement0(X22))|~aReductOfIn0(X21,X20,xR))|~aReductOfIn0(X22,X20,xR))|(X21=skolem0011(X20,X21,X22)|sdtmndtplgtdt0(X21,xR,skolem0011(X20,X21,X22))))))&(((((~aElement0(X20)|~aElement0(X21))|~aElement0(X22))|~aReductOfIn0(X21,X20,xR))|~aReductOfIn0(X22,X20,xR))|sdtmndtasgtdt0(X21,xR,skolem0011(X20,X21,X22))))&((((((((~aElement0(X20)|~aElement0(X21))|~aElement0(X22))|~aReductOfIn0(X21,X20,xR))|~aReductOfIn0(X22,X20,xR))|(X22=skolem0011(X20,X21,X22)|(aReductOfIn0(skolem0011(X20,X21,X22),X22,xR)|aElement0(skolem0013(X20,X21,X22)))))&(((((~aElement0(X20)|~aElement0(X21))|~aElement0(X22))|~aReductOfIn0(X21,X20,xR))|~aReductOfIn0(X22,X20,xR))|(X22=skolem0011(X20,X21,X22)|(aReductOfIn0(skolem0011(X20,X21,X22),X22,xR)|aReductOfIn0(skolem0013(X20,X21,X22),X22,xR)))))&(((((~aElement0(X20)|~aElement0(X21))|~aElement0(X22))|~aReductOfIn0(X21,X20,xR))|~aReductOfIn0(X22,X20,xR))|(X22=skolem0011(X20,X21,X22)|(aReductOfIn0(skolem0011(X20,X21,X22),X22,xR)|sdtmndtplgtdt0(skolem0013(X20,X21,X22),xR,skolem0011(X20,X21,X22))))))&(((((~aElement0(X20)|~aElement0(X21))|~aElement0(X22))|~aReductOfIn0(X21,X20,xR))|~aReductOfIn0(X22,X20,xR))|(X22=skolem0011(X20,X21,X22)|sdtmndtplgtdt0(X22,xR,skolem0011(X20,X21,X22))))))&(((((~aElement0(X20)|~aElement0(X21))|~aElement0(X22))|~aReductOfIn0(X21,X20,xR))|~aReductOfIn0(X22,X20,xR))|sdtmndtasgtdt0(X22,xR,skolem0011(X20,X21,X22))))&isLocallyConfluent0(xR))&((((~aElement0(X26)|~aElement0(X27))|(~aReductOfIn0(X27,X26,xR)|iLess0(X27,X26)))&((~aElement0(X26)|~aElement0(X27))|(((~aElement0(X28)|~aReductOfIn0(X28,X26,xR))|~sdtmndtplgtdt0(X28,xR,X27))|iLess0(X27,X26))))&((~aElement0(X26)|~aElement0(X27))|(~sdtmndtplgtdt0(X26,xR,X27)|iLess0(X27,X26)))))&isTerminating0(xR)))))))),inference(distribute,status(thm),[c354])).
% 0.67/0.93 cnf(c371,plain,isTerminating0(xR),inference(split_conjunct,status(thm),[c355])).
% 0.67/0.93 fof(m__799,plain,((((aElement0(xw)&(xu=xw|((aReductOfIn0(xw,xu,xR)|(?[W0]:((aElement0(W0)&aReductOfIn0(W0,xu,xR))&sdtmndtplgtdt0(W0,xR,xw))))&sdtmndtplgtdt0(xu,xR,xw))))&sdtmndtasgtdt0(xu,xR,xw))&(xv=xw|((aReductOfIn0(xw,xv,xR)|(?[W0]:((aElement0(W0)&aReductOfIn0(W0,xv,xR))&sdtmndtplgtdt0(W0,xR,xw))))&sdtmndtplgtdt0(xv,xR,xw))))&sdtmndtasgtdt0(xv,xR,xw)),input).
% 0.67/0.93 fof(c23,plain,((((aElement0(xw)&(xu=xw|((aReductOfIn0(xw,xu,xR)|(?[X6]:((aElement0(X6)&aReductOfIn0(X6,xu,xR))&sdtmndtplgtdt0(X6,xR,xw))))&sdtmndtplgtdt0(xu,xR,xw))))&sdtmndtasgtdt0(xu,xR,xw))&(xv=xw|((aReductOfIn0(xw,xv,xR)|(?[X7]:((aElement0(X7)&aReductOfIn0(X7,xv,xR))&sdtmndtplgtdt0(X7,xR,xw))))&sdtmndtplgtdt0(xv,xR,xw))))&sdtmndtasgtdt0(xv,xR,xw)),inference(variable_rename,status(thm),[m__799])).
% 0.67/0.93 fof(c24,plain,((((aElement0(xw)&(xu=xw|((aReductOfIn0(xw,xu,xR)|((aElement0(skolem0002)&aReductOfIn0(skolem0002,xu,xR))&sdtmndtplgtdt0(skolem0002,xR,xw)))&sdtmndtplgtdt0(xu,xR,xw))))&sdtmndtasgtdt0(xu,xR,xw))&(xv=xw|((aReductOfIn0(xw,xv,xR)|((aElement0(skolem0003)&aReductOfIn0(skolem0003,xv,xR))&sdtmndtplgtdt0(skolem0003,xR,xw)))&sdtmndtplgtdt0(xv,xR,xw))))&sdtmndtasgtdt0(xv,xR,xw)),inference(skolemize,status(esa),[c23])).
% 0.77/0.93 fof(c25,plain,((((aElement0(xw)&((((xu=xw|(aReductOfIn0(xw,xu,xR)|aElement0(skolem0002)))&(xu=xw|(aReductOfIn0(xw,xu,xR)|aReductOfIn0(skolem0002,xu,xR))))&(xu=xw|(aReductOfIn0(xw,xu,xR)|sdtmndtplgtdt0(skolem0002,xR,xw))))&(xu=xw|sdtmndtplgtdt0(xu,xR,xw))))&sdtmndtasgtdt0(xu,xR,xw))&((((xv=xw|(aReductOfIn0(xw,xv,xR)|aElement0(skolem0003)))&(xv=xw|(aReductOfIn0(xw,xv,xR)|aReductOfIn0(skolem0003,xv,xR))))&(xv=xw|(aReductOfIn0(xw,xv,xR)|sdtmndtplgtdt0(skolem0003,xR,xw))))&(xv=xw|sdtmndtplgtdt0(xv,xR,xw))))&sdtmndtasgtdt0(xv,xR,xw)),inference(distribute,status(thm),[c24])).
% 0.77/0.93 cnf(c26,plain,aElement0(xw),inference(split_conjunct,status(thm),[c25])).
% 0.77/0.93 fof(mTermNF,axiom,(![W0]:((aRewritingSystem0(W0)&isTerminating0(W0))=>(![W1]:(aElement0(W1)=>(?[W2]:aNormalFormOfIn0(W2,W1,W0)))))),input).
% 0.77/0.93 fof(c373,axiom,(![W0]:((~aRewritingSystem0(W0)|~isTerminating0(W0))|(![W1]:(~aElement0(W1)|(?[W2]:aNormalFormOfIn0(W2,W1,W0)))))),inference(fof_nnf,status(thm),[mTermNF])).
% 0.77/0.93 fof(c374,axiom,(![X29]:((~aRewritingSystem0(X29)|~isTerminating0(X29))|(![X30]:(~aElement0(X30)|(?[X31]:aNormalFormOfIn0(X31,X30,X29)))))),inference(variable_rename,status(thm),[c373])).
% 0.77/0.93 fof(c376,axiom,(![X29]:(![X30]:((~aRewritingSystem0(X29)|~isTerminating0(X29))|(~aElement0(X30)|aNormalFormOfIn0(skolem0014(X29,X30),X30,X29))))),inference(shift_quantors,status(thm),[fof(c375,axiom,(![X29]:((~aRewritingSystem0(X29)|~isTerminating0(X29))|(![X30]:(~aElement0(X30)|aNormalFormOfIn0(skolem0014(X29,X30),X30,X29))))),inference(skolemize,status(esa),[c374])).])).
% 0.77/0.93 cnf(c377,axiom,~aRewritingSystem0(X206)|~isTerminating0(X206)|~aElement0(X207)|aNormalFormOfIn0(skolem0014(X206,X207),X207,X206),inference(split_conjunct,status(thm),[c376])).
% 0.77/0.93 cnf(c889,plain,~aRewritingSystem0(X209)|~isTerminating0(X209)|aNormalFormOfIn0(skolem0014(X209,xw),xw,X209),inference(resolution,status(thm),[c377, c26])).
% 0.77/0.93 cnf(c902,plain,~aRewritingSystem0(xR)|aNormalFormOfIn0(skolem0014(xR,xw),xw,xR),inference(resolution,status(thm),[c889, c371])).
% 0.77/0.93 cnf(c923,plain,aNormalFormOfIn0(skolem0014(xR,xw),xw,xR),inference(resolution,status(thm),[c902, c372])).
% 0.77/0.93 cnf(c926,plain,$false,inference(resolution,status(thm),[c923, c22])).
% 0.77/0.93 # SZS output end CNFRefutation
% 0.77/0.93
% 0.77/0.93 # Initial clauses : 390
% 0.77/0.93 # Processed clauses : 171
% 0.77/0.93 # Factors computed : 0
% 0.77/0.93 # Resolvents computed: 468
% 0.77/0.93 # Tautologies deleted: 6
% 0.77/0.93 # Forward subsumed : 35
% 0.77/0.93 # Backward subsumed : 15
% 0.77/0.93 # -------- CPU Time ---------
% 0.77/0.93 # User time : 0.577 s
% 0.77/0.93 # System time : 0.010 s
% 0.77/0.93 # Total time : 0.587 s
%------------------------------------------------------------------------------