TSTP Solution File: SYN986+1.003 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SYN986+1.003 : 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 : Thu Jul 21 11:32:22 EDT 2022
% Result : Theorem 0.19s 0.54s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SYN986+1.003 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % 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 : Mon Jul 11 15:43:07 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.54 # Version: 1.3
% 0.19/0.54 # SZS status Theorem
% 0.19/0.54 # SZS output start CNFRefutation
% 0.19/0.54 fof(hyp1,axiom,(![Y]:r(Y,zero,succ(Y))),input).
% 0.19/0.54 fof(c11,axiom,(![X10]:r(X10,zero,succ(X10))),inference(variable_rename,status(thm),[hyp1])).
% 0.19/0.54 cnf(c12,axiom,r(X11,zero,succ(X11)),inference(split_conjunct,status(thm),[c11])).
% 0.19/0.54 fof(hyp2,axiom,(![Y]:(![X]:(![Z]:(![Z1]:(r(Y,X,Z)=>(r(Z,X,Z1)=>r(Y,succ(X),Z1))))))),input).
% 0.19/0.54 fof(c6,axiom,(![Y]:(![X]:(![Z]:(![Z1]:(~r(Y,X,Z)|(~r(Z,X,Z1)|r(Y,succ(X),Z1))))))),inference(fof_nnf,status(thm),[hyp2])).
% 0.19/0.54 fof(c7,axiom,(![Y]:(![X]:(![Z]:(~r(Y,X,Z)|(![Z1]:(~r(Z,X,Z1)|r(Y,succ(X),Z1))))))),inference(shift_quantors,status(thm),[c6])).
% 0.19/0.54 fof(c9,axiom,(![X6]:(![X7]:(![X8]:(![X9]:(~r(X6,X7,X8)|(~r(X8,X7,X9)|r(X6,succ(X7),X9))))))),inference(shift_quantors,status(thm),[fof(c8,axiom,(![X6]:(![X7]:(![X8]:(~r(X6,X7,X8)|(![X9]:(~r(X8,X7,X9)|r(X6,succ(X7),X9))))))),inference(variable_rename,status(thm),[c7])).])).
% 0.19/0.54 cnf(c10,axiom,~r(X13,X14,X12)|~r(X12,X14,X15)|r(X13,succ(X14),X15),inference(split_conjunct,status(thm),[c9])).
% 0.19/0.54 cnf(c13,plain,~r(X17,zero,X16)|r(X17,succ(zero),succ(X16)),inference(resolution,status(thm),[c10, c12])).
% 0.19/0.54 cnf(c14,plain,r(X18,succ(zero),succ(succ(X18))),inference(resolution,status(thm),[c13, c12])).
% 0.19/0.54 cnf(c15,plain,~r(X20,succ(zero),X19)|r(X20,succ(succ(zero)),succ(succ(X19))),inference(resolution,status(thm),[c14, c10])).
% 0.19/0.54 cnf(c16,plain,r(X25,succ(succ(zero)),succ(succ(succ(succ(X25))))),inference(resolution,status(thm),[c15, c14])).
% 0.19/0.54 fof(ck,conjecture,(?[Z3]:(?[Z2]:(?[Z1]:(?[Z0]:(((r(zero,zero,Z3)&r(zero,Z3,Z2))&r(zero,Z2,Z1))&r(zero,Z1,Z0)))))),input).
% 0.19/0.54 fof(c0,negated_conjecture,(~(?[Z3]:(?[Z2]:(?[Z1]:(?[Z0]:(((r(zero,zero,Z3)&r(zero,Z3,Z2))&r(zero,Z2,Z1))&r(zero,Z1,Z0))))))),inference(assume_negation,status(cth),[ck])).
% 0.19/0.54 fof(c1,negated_conjecture,(![Z3]:(![Z2]:(![Z1]:(![Z0]:(((~r(zero,zero,Z3)|~r(zero,Z3,Z2))|~r(zero,Z2,Z1))|~r(zero,Z1,Z0)))))),inference(fof_nnf,status(thm),[c0])).
% 0.19/0.54 fof(c2,negated_conjecture,(![Z3]:(![Z2]:(![Z1]:(((~r(zero,zero,Z3)|~r(zero,Z3,Z2))|~r(zero,Z2,Z1))|(![Z0]:~r(zero,Z1,Z0)))))),inference(shift_quantors,status(thm),[c1])).
% 0.19/0.54 fof(c4,negated_conjecture,(![X2]:(![X3]:(![X4]:(![X5]:(((~r(zero,zero,X2)|~r(zero,X2,X3))|~r(zero,X3,X4))|~r(zero,X4,X5)))))),inference(shift_quantors,status(thm),[fof(c3,negated_conjecture,(![X2]:(![X3]:(![X4]:(((~r(zero,zero,X2)|~r(zero,X2,X3))|~r(zero,X3,X4))|(![X5]:~r(zero,X4,X5)))))),inference(variable_rename,status(thm),[c2])).])).
% 0.19/0.54 cnf(c5,negated_conjecture,~r(zero,zero,X23)|~r(zero,X23,X24)|~r(zero,X24,X22)|~r(zero,X22,X21),inference(split_conjunct,status(thm),[c4])).
% 0.19/0.54 cnf(c20,plain,~r(X34,succ(succ(zero)),X33)|r(X34,succ(succ(succ(zero))),succ(succ(succ(succ(X33))))),inference(resolution,status(thm),[c16, c10])).
% 0.19/0.54 cnf(c23,plain,r(X36,succ(succ(succ(zero))),succ(succ(succ(succ(succ(succ(succ(succ(X36))))))))),inference(resolution,status(thm),[c20, c16])).
% 0.19/0.54 cnf(c26,plain,~r(X40,succ(succ(succ(zero))),X39)|r(X40,succ(succ(succ(succ(zero)))),succ(succ(succ(succ(succ(succ(succ(succ(X39))))))))),inference(resolution,status(thm),[c23, c10])).
% 0.19/0.54 cnf(c27,plain,r(X41,succ(succ(succ(succ(zero)))),succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X41))))))))))))))))),inference(resolution,status(thm),[c26, c23])).
% 0.19/0.54 cnf(c28,plain,~r(zero,zero,X42)|~r(zero,X42,X43)|~r(zero,X43,succ(succ(succ(succ(zero))))),inference(resolution,status(thm),[c27, c5])).
% 0.19/0.54 cnf(c30,plain,~r(zero,zero,X44)|~r(zero,X44,succ(succ(zero))),inference(resolution,status(thm),[c28, c16])).
% 0.19/0.54 cnf(c31,plain,~r(zero,zero,succ(zero)),inference(resolution,status(thm),[c30, c14])).
% 0.19/0.54 cnf(c32,plain,$false,inference(resolution,status(thm),[c31, c12])).
% 0.19/0.54 # SZS output end CNFRefutation
% 0.19/0.54
% 0.19/0.54 # Initial clauses : 3
% 0.19/0.54 # Processed clauses : 21
% 0.19/0.54 # Factors computed : 0
% 0.19/0.54 # Resolvents computed: 20
% 0.19/0.54 # Tautologies deleted: 0
% 0.19/0.54 # Forward subsumed : 0
% 0.19/0.54 # Backward subsumed : 0
% 0.19/0.54 # -------- CPU Time ---------
% 0.19/0.54 # User time : 0.178 s
% 0.19/0.54 # System time : 0.018 s
% 0.19/0.54 # Total time : 0.196 s
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