TSTP Solution File: NUM482+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : NUM482+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 : Mon Jul 18 13:36:56 EDT 2022
% Result : Theorem 4.82s 5.00s
% Output : Refutation 4.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM482+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 : n016.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 Jul 7 06:07:21 EDT 2022
% 0.13/0.34 % CPUTime :
% 4.82/5.00 # Version: 1.3
% 4.82/5.00 # SZS status Theorem
% 4.82/5.00 # SZS output start CNFRefutation
% 4.82/5.00 fof(m__1716,plain,aNaturalNumber0(xk),input).
% 4.82/5.00 cnf(c24,plain,aNaturalNumber0(xk),inference(split_conjunct,status(thm),[m__1716])).
% 4.82/5.00 fof(m__,conjecture,(isPrime0(xk)=>(?[W0]:((aNaturalNumber0(W0)&doDivides0(W0,xk))&isPrime0(W0)))),input).
% 4.82/5.00 fof(c9,negated_conjecture,(~(isPrime0(xk)=>(?[W0]:((aNaturalNumber0(W0)&doDivides0(W0,xk))&isPrime0(W0))))),inference(assume_negation,status(cth),[m__])).
% 4.82/5.00 fof(c10,negated_conjecture,(isPrime0(xk)&(![W0]:((~aNaturalNumber0(W0)|~doDivides0(W0,xk))|~isPrime0(W0)))),inference(fof_nnf,status(thm),[c9])).
% 4.82/5.00 fof(c12,negated_conjecture,(![X2]:(isPrime0(xk)&((~aNaturalNumber0(X2)|~doDivides0(X2,xk))|~isPrime0(X2)))),inference(shift_quantors,status(thm),[fof(c11,negated_conjecture,(isPrime0(xk)&(![X2]:((~aNaturalNumber0(X2)|~doDivides0(X2,xk))|~isPrime0(X2)))),inference(variable_rename,status(thm),[c10])).])).
% 4.82/5.00 cnf(c13,negated_conjecture,isPrime0(xk),inference(split_conjunct,status(thm),[c12])).
% 4.82/5.00 cnf(c14,negated_conjecture,~aNaturalNumber0(X111)|~doDivides0(X111,xk)|~isPrime0(X111),inference(split_conjunct,status(thm),[c12])).
% 4.82/5.00 fof(mSortsC_01,axiom,(aNaturalNumber0(sz10)&sz10!=sz00),input).
% 4.82/5.00 cnf(c184,axiom,aNaturalNumber0(sz10),inference(split_conjunct,status(thm),[mSortsC_01])).
% 4.82/5.00 cnf(symmetry,axiom,X88!=X89|X89=X88,eq_axiom).
% 4.82/5.00 fof(m_MulUnit,axiom,(![W0]:(aNaturalNumber0(W0)=>(sdtasdt0(W0,sz10)=W0&W0=sdtasdt0(sz10,W0)))),input).
% 4.82/5.00 fof(c156,axiom,(![W0]:(~aNaturalNumber0(W0)|(sdtasdt0(W0,sz10)=W0&W0=sdtasdt0(sz10,W0)))),inference(fof_nnf,status(thm),[m_MulUnit])).
% 4.82/5.00 fof(c157,axiom,(![X71]:(~aNaturalNumber0(X71)|(sdtasdt0(X71,sz10)=X71&X71=sdtasdt0(sz10,X71)))),inference(variable_rename,status(thm),[c156])).
% 4.82/5.00 fof(c158,axiom,(![X71]:((~aNaturalNumber0(X71)|sdtasdt0(X71,sz10)=X71)&(~aNaturalNumber0(X71)|X71=sdtasdt0(sz10,X71)))),inference(distribute,status(thm),[c157])).
% 4.82/5.00 cnf(c159,axiom,~aNaturalNumber0(X118)|sdtasdt0(X118,sz10)=X118,inference(split_conjunct,status(thm),[c158])).
% 4.82/5.00 cnf(c202,plain,sdtasdt0(xk,sz10)=xk,inference(resolution,status(thm),[c159, c24])).
% 4.82/5.00 cnf(c213,plain,xk=sdtasdt0(xk,sz10),inference(resolution,status(thm),[c202, symmetry])).
% 4.82/5.00 fof(mDefDiv,plain,(![W0]:(![W1]:((aNaturalNumber0(W0)&aNaturalNumber0(W1))=>(doDivides0(W0,W1)<=>(?[W2]:(aNaturalNumber0(W2)&W1=sdtasdt0(W0,W2))))))),input).
% 4.82/5.00 fof(c61,plain,(![W0]:(![W1]:((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|((~doDivides0(W0,W1)|(?[W2]:(aNaturalNumber0(W2)&W1=sdtasdt0(W0,W2))))&((![W2]:(~aNaturalNumber0(W2)|W1!=sdtasdt0(W0,W2)))|doDivides0(W0,W1)))))),inference(fof_nnf,status(thm),[mDefDiv])).
% 4.82/5.00 fof(c62,plain,(![X26]:(![X27]:((~aNaturalNumber0(X26)|~aNaturalNumber0(X27))|((~doDivides0(X26,X27)|(?[X28]:(aNaturalNumber0(X28)&X27=sdtasdt0(X26,X28))))&((![X29]:(~aNaturalNumber0(X29)|X27!=sdtasdt0(X26,X29)))|doDivides0(X26,X27)))))),inference(variable_rename,status(thm),[c61])).
% 4.82/5.00 fof(c64,plain,(![X26]:(![X27]:(![X29]:((~aNaturalNumber0(X26)|~aNaturalNumber0(X27))|((~doDivides0(X26,X27)|(aNaturalNumber0(skolem0003(X26,X27))&X27=sdtasdt0(X26,skolem0003(X26,X27))))&((~aNaturalNumber0(X29)|X27!=sdtasdt0(X26,X29))|doDivides0(X26,X27))))))),inference(shift_quantors,status(thm),[fof(c63,plain,(![X26]:(![X27]:((~aNaturalNumber0(X26)|~aNaturalNumber0(X27))|((~doDivides0(X26,X27)|(aNaturalNumber0(skolem0003(X26,X27))&X27=sdtasdt0(X26,skolem0003(X26,X27))))&((![X29]:(~aNaturalNumber0(X29)|X27!=sdtasdt0(X26,X29)))|doDivides0(X26,X27)))))),inference(skolemize,status(esa),[c62])).])).
% 4.82/5.00 fof(c65,plain,(![X26]:(![X27]:(![X29]:((((~aNaturalNumber0(X26)|~aNaturalNumber0(X27))|(~doDivides0(X26,X27)|aNaturalNumber0(skolem0003(X26,X27))))&((~aNaturalNumber0(X26)|~aNaturalNumber0(X27))|(~doDivides0(X26,X27)|X27=sdtasdt0(X26,skolem0003(X26,X27)))))&((~aNaturalNumber0(X26)|~aNaturalNumber0(X27))|((~aNaturalNumber0(X29)|X27!=sdtasdt0(X26,X29))|doDivides0(X26,X27))))))),inference(distribute,status(thm),[c64])).
% 4.82/5.00 cnf(c68,plain,~aNaturalNumber0(X188)|~aNaturalNumber0(X187)|~aNaturalNumber0(X186)|X187!=sdtasdt0(X188,X186)|doDivides0(X188,X187),inference(split_conjunct,status(thm),[c65])).
% 4.82/5.00 cnf(c794,plain,~aNaturalNumber0(xk)|~aNaturalNumber0(sz10)|doDivides0(xk,xk),inference(resolution,status(thm),[c68, c213])).
% 4.82/5.00 cnf(c22946,plain,~aNaturalNumber0(xk)|doDivides0(xk,xk),inference(resolution,status(thm),[c794, c184])).
% 4.82/5.00 cnf(c22947,plain,doDivides0(xk,xk),inference(resolution,status(thm),[c22946, c24])).
% 4.82/5.00 cnf(c22950,plain,~aNaturalNumber0(xk)|~isPrime0(xk),inference(resolution,status(thm),[c22947, c14])).
% 4.82/5.00 cnf(c22957,plain,~aNaturalNumber0(xk),inference(resolution,status(thm),[c22950, c13])).
% 4.82/5.00 cnf(c22958,plain,$false,inference(resolution,status(thm),[c22957, c24])).
% 4.82/5.00 # SZS output end CNFRefutation
% 4.82/5.00
% 4.82/5.00 # Initial clauses : 87
% 4.82/5.00 # Processed clauses : 642
% 4.82/5.00 # Factors computed : 0
% 4.82/5.00 # Resolvents computed: 22833
% 4.82/5.00 # Tautologies deleted: 3
% 4.82/5.00 # Forward subsumed : 111
% 4.82/5.00 # Backward subsumed : 22
% 4.82/5.00 # -------- CPU Time ---------
% 4.82/5.00 # User time : 4.612 s
% 4.82/5.00 # System time : 0.049 s
% 4.82/5.00 # Total time : 4.661 s
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