TSTP Solution File: COM016+4 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : COM016+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n025.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 0.62s 0.79s
% Output : Refutation 0.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : COM016+4 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35 % Computer : n025.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Thu Jun 16 17:37:56 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.62/0.79 # Version: 1.3
% 0.62/0.79 # SZS status Theorem
% 0.62/0.79 # SZS output start CNFRefutation
% 0.62/0.79 fof(m__731,plain,((aElement0(xa)&aElement0(xb))&aElement0(xc)),input).
% 0.62/0.79 cnf(c312,plain,aElement0(xb),inference(split_conjunct,status(thm),[m__731])).
% 0.62/0.79 cnf(reflexivity,axiom,X74=X74,eq_axiom).
% 0.62/0.79 fof(m__731_02,plain,((((aReductOfIn0(xb,xa,xR)|(?[W0]:((aElement0(W0)&aReductOfIn0(W0,xa,xR))&sdtmndtplgtdt0(W0,xR,xb))))&sdtmndtplgtdt0(xa,xR,xb))&(aReductOfIn0(xc,xa,xR)|(?[W0]:((aElement0(W0)&aReductOfIn0(W0,xa,xR))&sdtmndtplgtdt0(W0,xR,xc)))))&sdtmndtplgtdt0(xa,xR,xc)),input).
% 0.62/0.79 fof(c20,plain,((((aReductOfIn0(xb,xa,xR)|(?[X4]:((aElement0(X4)&aReductOfIn0(X4,xa,xR))&sdtmndtplgtdt0(X4,xR,xb))))&sdtmndtplgtdt0(xa,xR,xb))&(aReductOfIn0(xc,xa,xR)|(?[X5]:((aElement0(X5)&aReductOfIn0(X5,xa,xR))&sdtmndtplgtdt0(X5,xR,xc)))))&sdtmndtplgtdt0(xa,xR,xc)),inference(variable_rename,status(thm),[m__731_02])).
% 0.62/0.79 fof(c21,plain,((((aReductOfIn0(xb,xa,xR)|((aElement0(skolem0001)&aReductOfIn0(skolem0001,xa,xR))&sdtmndtplgtdt0(skolem0001,xR,xb)))&sdtmndtplgtdt0(xa,xR,xb))&(aReductOfIn0(xc,xa,xR)|((aElement0(skolem0002)&aReductOfIn0(skolem0002,xa,xR))&sdtmndtplgtdt0(skolem0002,xR,xc))))&sdtmndtplgtdt0(xa,xR,xc)),inference(skolemize,status(esa),[c20])).
% 0.62/0.79 fof(c22,plain,((((((aReductOfIn0(xb,xa,xR)|aElement0(skolem0001))&(aReductOfIn0(xb,xa,xR)|aReductOfIn0(skolem0001,xa,xR)))&(aReductOfIn0(xb,xa,xR)|sdtmndtplgtdt0(skolem0001,xR,xb)))&sdtmndtplgtdt0(xa,xR,xb))&(((aReductOfIn0(xc,xa,xR)|aElement0(skolem0002))&(aReductOfIn0(xc,xa,xR)|aReductOfIn0(skolem0002,xa,xR)))&(aReductOfIn0(xc,xa,xR)|sdtmndtplgtdt0(skolem0002,xR,xc))))&sdtmndtplgtdt0(xa,xR,xc)),inference(distribute,status(thm),[c21])).
% 0.62/0.79 cnf(c23,plain,aReductOfIn0(xb,xa,xR)|aElement0(skolem0001),inference(split_conjunct,status(thm),[c22])).
% 0.62/0.79 fof(m__,conjecture,(?[W0]:((aElement0(W0)&aReductOfIn0(W0,xa,xR))&((((W0=xb|aReductOfIn0(xb,W0,xR))|(?[W1]:((aElement0(W1)&aReductOfIn0(W1,W0,xR))&sdtmndtplgtdt0(W1,xR,xb))))|sdtmndtplgtdt0(W0,xR,xb))|sdtmndtasgtdt0(W0,xR,xb)))),input).
% 0.62/0.79 fof(c10,negated_conjecture,(~(?[W0]:((aElement0(W0)&aReductOfIn0(W0,xa,xR))&((((W0=xb|aReductOfIn0(xb,W0,xR))|(?[W1]:((aElement0(W1)&aReductOfIn0(W1,W0,xR))&sdtmndtplgtdt0(W1,xR,xb))))|sdtmndtplgtdt0(W0,xR,xb))|sdtmndtasgtdt0(W0,xR,xb))))),inference(assume_negation,status(cth),[m__])).
% 0.62/0.79 fof(c11,negated_conjecture,(![W0]:((~aElement0(W0)|~aReductOfIn0(W0,xa,xR))|((((W0!=xb&~aReductOfIn0(xb,W0,xR))&(![W1]:((~aElement0(W1)|~aReductOfIn0(W1,W0,xR))|~sdtmndtplgtdt0(W1,xR,xb))))&~sdtmndtplgtdt0(W0,xR,xb))&~sdtmndtasgtdt0(W0,xR,xb)))),inference(fof_nnf,status(thm),[c10])).
% 0.62/0.79 fof(c13,negated_conjecture,(![X2]:(![X3]:((~aElement0(X2)|~aReductOfIn0(X2,xa,xR))|((((X2!=xb&~aReductOfIn0(xb,X2,xR))&((~aElement0(X3)|~aReductOfIn0(X3,X2,xR))|~sdtmndtplgtdt0(X3,xR,xb)))&~sdtmndtplgtdt0(X2,xR,xb))&~sdtmndtasgtdt0(X2,xR,xb))))),inference(shift_quantors,status(thm),[fof(c12,negated_conjecture,(![X2]:((~aElement0(X2)|~aReductOfIn0(X2,xa,xR))|((((X2!=xb&~aReductOfIn0(xb,X2,xR))&(![X3]:((~aElement0(X3)|~aReductOfIn0(X3,X2,xR))|~sdtmndtplgtdt0(X3,xR,xb))))&~sdtmndtplgtdt0(X2,xR,xb))&~sdtmndtasgtdt0(X2,xR,xb)))),inference(variable_rename,status(thm),[c11])).])).
% 0.62/0.79 fof(c14,negated_conjecture,(![X2]:(![X3]:((((((~aElement0(X2)|~aReductOfIn0(X2,xa,xR))|X2!=xb)&((~aElement0(X2)|~aReductOfIn0(X2,xa,xR))|~aReductOfIn0(xb,X2,xR)))&((~aElement0(X2)|~aReductOfIn0(X2,xa,xR))|((~aElement0(X3)|~aReductOfIn0(X3,X2,xR))|~sdtmndtplgtdt0(X3,xR,xb))))&((~aElement0(X2)|~aReductOfIn0(X2,xa,xR))|~sdtmndtplgtdt0(X2,xR,xb)))&((~aElement0(X2)|~aReductOfIn0(X2,xa,xR))|~sdtmndtasgtdt0(X2,xR,xb))))),inference(distribute,status(thm),[c13])).
% 0.62/0.79 cnf(c15,negated_conjecture,~aElement0(X141)|~aReductOfIn0(X141,xa,xR)|X141!=xb,inference(split_conjunct,status(thm),[c14])).
% 0.62/0.79 cnf(c444,plain,~aElement0(xb)|xb!=xb|aElement0(skolem0001),inference(resolution,status(thm),[c15, c23])).
% 0.62/0.79 cnf(c446,plain,~aElement0(xb)|aElement0(skolem0001),inference(resolution,status(thm),[c444, reflexivity])).
% 0.62/0.79 cnf(c447,plain,aElement0(skolem0001),inference(resolution,status(thm),[c446, c312])).
% 0.62/0.79 cnf(c24,plain,aReductOfIn0(xb,xa,xR)|aReductOfIn0(skolem0001,xa,xR),inference(split_conjunct,status(thm),[c22])).
% 0.62/0.79 cnf(c19,negated_conjecture,~aElement0(X155)|~aReductOfIn0(X155,xa,xR)|~sdtmndtasgtdt0(X155,xR,xb),inference(split_conjunct,status(thm),[c14])).
% 0.62/0.79 fof(m__656,plain,aRewritingSystem0(xR),input).
% 0.62/0.79 cnf(c335,plain,aRewritingSystem0(xR),inference(split_conjunct,status(thm),[m__656])).
% 0.62/0.79 fof(mTCRDef,plain,(![W0]:(![W1]:(![W2]:(((aElement0(W0)&aRewritingSystem0(W1))&aElement0(W2))=>(sdtmndtasgtdt0(W0,W1,W2)<=>(W0=W2|sdtmndtplgtdt0(W0,W1,W2))))))),input).
% 0.62/0.79 fof(c392,plain,(![W0]:(![W1]:(![W2]:(((~aElement0(W0)|~aRewritingSystem0(W1))|~aElement0(W2))|((~sdtmndtasgtdt0(W0,W1,W2)|(W0=W2|sdtmndtplgtdt0(W0,W1,W2)))&((W0!=W2&~sdtmndtplgtdt0(W0,W1,W2))|sdtmndtasgtdt0(W0,W1,W2))))))),inference(fof_nnf,status(thm),[mTCRDef])).
% 0.62/0.79 fof(c393,plain,(![X59]:(![X60]:(![X61]:(((~aElement0(X59)|~aRewritingSystem0(X60))|~aElement0(X61))|((~sdtmndtasgtdt0(X59,X60,X61)|(X59=X61|sdtmndtplgtdt0(X59,X60,X61)))&((X59!=X61&~sdtmndtplgtdt0(X59,X60,X61))|sdtmndtasgtdt0(X59,X60,X61))))))),inference(variable_rename,status(thm),[c392])).
% 0.62/0.79 fof(c394,plain,(![X59]:(![X60]:(![X61]:((((~aElement0(X59)|~aRewritingSystem0(X60))|~aElement0(X61))|(~sdtmndtasgtdt0(X59,X60,X61)|(X59=X61|sdtmndtplgtdt0(X59,X60,X61))))&((((~aElement0(X59)|~aRewritingSystem0(X60))|~aElement0(X61))|(X59!=X61|sdtmndtasgtdt0(X59,X60,X61)))&(((~aElement0(X59)|~aRewritingSystem0(X60))|~aElement0(X61))|(~sdtmndtplgtdt0(X59,X60,X61)|sdtmndtasgtdt0(X59,X60,X61)))))))),inference(distribute,status(thm),[c393])).
% 0.62/0.79 cnf(c396,plain,~aElement0(X200)|~aRewritingSystem0(X199)|~aElement0(X201)|X200!=X201|sdtmndtasgtdt0(X200,X199,X201),inference(split_conjunct,status(thm),[c394])).
% 0.62/0.79 cnf(c565,plain,~aElement0(X203)|~aRewritingSystem0(X202)|sdtmndtasgtdt0(X203,X202,X203),inference(resolution,status(thm),[c396, reflexivity])).
% 0.62/0.79 cnf(c566,plain,~aElement0(X204)|sdtmndtasgtdt0(X204,xR,X204),inference(resolution,status(thm),[c565, c335])).
% 0.62/0.79 cnf(c573,plain,sdtmndtasgtdt0(xb,xR,xb),inference(resolution,status(thm),[c566, c312])).
% 0.62/0.79 cnf(c582,plain,~aElement0(xb)|~aReductOfIn0(xb,xa,xR),inference(resolution,status(thm),[c573, c19])).
% 0.62/0.79 cnf(c587,plain,~aElement0(xb)|aReductOfIn0(skolem0001,xa,xR),inference(resolution,status(thm),[c582, c24])).
% 0.62/0.79 cnf(c595,plain,aReductOfIn0(skolem0001,xa,xR),inference(resolution,status(thm),[c587, c312])).
% 0.62/0.79 cnf(c18,negated_conjecture,~aElement0(X154)|~aReductOfIn0(X154,xa,xR)|~sdtmndtplgtdt0(X154,xR,xb),inference(split_conjunct,status(thm),[c14])).
% 0.62/0.79 cnf(c25,plain,aReductOfIn0(xb,xa,xR)|sdtmndtplgtdt0(skolem0001,xR,xb),inference(split_conjunct,status(thm),[c22])).
% 0.62/0.79 cnf(c586,plain,~aElement0(xb)|sdtmndtplgtdt0(skolem0001,xR,xb),inference(resolution,status(thm),[c582, c25])).
% 0.62/0.79 cnf(c590,plain,sdtmndtplgtdt0(skolem0001,xR,xb),inference(resolution,status(thm),[c586, c312])).
% 0.62/0.79 cnf(c591,plain,~aElement0(skolem0001)|~aReductOfIn0(skolem0001,xa,xR),inference(resolution,status(thm),[c590, c18])).
% 0.62/0.79 cnf(c603,plain,~aElement0(skolem0001),inference(resolution,status(thm),[c591, c595])).
% 0.62/0.79 cnf(c604,plain,$false,inference(resolution,status(thm),[c603, c447])).
% 0.62/0.79 # SZS output end CNFRefutation
% 0.62/0.79
% 0.62/0.79 # Initial clauses : 364
% 0.62/0.79 # Processed clauses : 124
% 0.62/0.79 # Factors computed : 0
% 0.62/0.79 # Resolvents computed: 182
% 0.62/0.79 # Tautologies deleted: 6
% 0.62/0.79 # Forward subsumed : 16
% 0.62/0.79 # Backward subsumed : 25
% 0.62/0.79 # -------- CPU Time ---------
% 0.62/0.79 # User time : 0.418 s
% 0.62/0.79 # System time : 0.020 s
% 0.62/0.79 # Total time : 0.439 s
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