TSTP Solution File: SYN986+1.003 by PyRes---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SYN986+1.003 : TPTP v8.1.2. 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 : 300s
% DateTime : Thu May 9 17:49:48 EDT 2024
% Result : Theorem 0.20s 0.57s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SYN986+1.003 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n004.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed May 8 19:54:38 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.57 % Version: 1.5
% 0.20/0.57 % SZS status Theorem
% 0.20/0.57 % SZS output start CNFRefutation
% 0.20/0.57 fof(hyp1,axiom,(![Y]:r(Y,zero,succ(Y))),file('/export/starexec/sandbox/benchmark/Axioms/SYN002+0.ax', hyp1)).
% 0.20/0.57 fof(c11,plain,(![X10]:r(X10,zero,succ(X10))),inference(variable_rename,[status(thm)],[hyp1])).
% 0.20/0.57 cnf(c12,plain,r(X11,zero,succ(X11)),inference(split_conjunct,[status(thm)],[c11])).
% 0.20/0.57 fof(hyp2,axiom,(![Y]:(![X]:(![Z]:(![Z1]:(r(Y,X,Z)=>(r(Z,X,Z1)=>r(Y,succ(X),Z1))))))),file('/export/starexec/sandbox/benchmark/Axioms/SYN002+0.ax', hyp2)).
% 0.20/0.57 fof(c6,plain,(![Y]:(![X]:(![Z]:(![Z1]:(~r(Y,X,Z)|(~r(Z,X,Z1)|r(Y,succ(X),Z1))))))),inference(fof_nnf,[status(thm)],[hyp2])).
% 0.20/0.57 fof(c7,plain,(![Y]:(![X]:(![Z]:(~r(Y,X,Z)|(![Z1]:(~r(Z,X,Z1)|r(Y,succ(X),Z1))))))),inference(shift_quantors,[status(thm)],[c6])).
% 0.20/0.57 fof(c9,plain,(![X6]:(![X7]:(![X8]:(![X9]:(~r(X6,X7,X8)|(~r(X8,X7,X9)|r(X6,succ(X7),X9))))))),inference(shift_quantors,[status(thm)],[fof(c8,plain,(![X6]:(![X7]:(![X8]:(~r(X6,X7,X8)|(![X9]:(~r(X8,X7,X9)|r(X6,succ(X7),X9))))))),inference(variable_rename,[status(thm)],[c7])).])).
% 0.20/0.57 cnf(c10,plain,~r(X12,X13,X14)|~r(X14,X13,X15)|r(X12,succ(X13),X15),inference(split_conjunct,[status(thm)],[c9])).
% 0.20/0.57 cnf(c14,plain,~r(X19,zero,X18)|r(X19,succ(zero),succ(X18)),inference(resolution,[status(thm)],[c10, c12])).
% 0.20/0.57 cnf(c15,plain,r(X20,succ(zero),succ(succ(X20))),inference(resolution,[status(thm)],[c14, c12])).
% 0.20/0.57 cnf(c16,plain,~r(X30,succ(zero),X29)|r(X30,succ(succ(zero)),succ(succ(X29))),inference(resolution,[status(thm)],[c15, c10])).
% 0.20/0.57 cnf(c28,plain,r(X31,succ(succ(zero)),succ(succ(succ(succ(X31))))),inference(resolution,[status(thm)],[c16, c15])).
% 0.20/0.57 fof(ck,conjecture,(?[Z3]:(?[Z2]:(?[Z1]:(?[Z0]:(((r(zero,zero,Z3)&r(zero,Z3,Z2))&r(zero,Z2,Z1))&r(zero,Z1,Z0)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', ck)).
% 0.20/0.57 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])).
% 0.20/0.57 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])).
% 0.20/0.57 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])).
% 0.20/0.57 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])).])).
% 0.20/0.57 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])).
% 0.20/0.57 cnf(c29,plain,~r(X46,succ(succ(zero)),X45)|r(X46,succ(succ(succ(zero))),succ(succ(succ(succ(X45))))),inference(resolution,[status(thm)],[c28, c10])).
% 0.20/0.57 cnf(c43,plain,r(X47,succ(succ(succ(zero))),succ(succ(succ(succ(succ(succ(succ(succ(X47))))))))),inference(resolution,[status(thm)],[c29, c28])).
% 0.20/0.57 cnf(c44,plain,~r(X51,succ(succ(succ(zero))),X50)|r(X51,succ(succ(succ(succ(zero)))),succ(succ(succ(succ(succ(succ(succ(succ(X50))))))))),inference(resolution,[status(thm)],[c43, c10])).
% 0.20/0.57 cnf(c49,plain,r(X52,succ(succ(succ(succ(zero)))),succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X52))))))))))))))))),inference(resolution,[status(thm)],[c44, c43])).
% 0.20/0.57 cnf(c52,plain,~r(zero,zero,X53)|~r(zero,X53,X54)|~r(zero,X54,succ(succ(succ(succ(zero))))),inference(resolution,[status(thm)],[c49, c5])).
% 0.20/0.57 cnf(c55,plain,~r(zero,zero,X55)|~r(zero,X55,succ(succ(zero))),inference(resolution,[status(thm)],[c52, c28])).
% 0.20/0.57 cnf(c56,plain,~r(zero,zero,succ(zero)),inference(resolution,[status(thm)],[c55, c15])).
% 0.20/0.57 cnf(c57,plain,$false,inference(resolution,[status(thm)],[c56, c12])).
% 0.20/0.57 % SZS output end CNFRefutation
% 0.20/0.57
% 0.20/0.57 % Initial clauses : 3
% 0.20/0.57 % Processed clauses : 28
% 0.20/0.57 % Factors computed : 20
% 0.20/0.57 % Resolvents computed: 25
% 0.20/0.57 % Tautologies deleted: 0
% 0.20/0.57 % Forward subsumed : 15
% 0.20/0.57 % Backward subsumed : 2
% 0.20/0.57 % -------- CPU Time ---------
% 0.20/0.57 % User time : 0.199 s
% 0.20/0.57 % System time : 0.017 s
% 0.20/0.57 % Total time : 0.216 s
%------------------------------------------------------------------------------