TSTP Solution File: NUM531+2 by PyRes---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : NUM531+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n011.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 17:36:06 EDT 2024
% Result : Theorem 0.21s 0.54s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM531+2 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n011.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 16:47:53 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.21/0.54 % Version: 1.5
% 0.21/0.54 % SZS status Theorem
% 0.21/0.54 % SZS output start CNFRefutation
% 0.21/0.54 cnf(reflexivity,axiom,X11=X11,theory(equality)).
% 0.21/0.54 fof(mDefEmp,plain,(![W0]:(W0=slcrc0<=>(aSet0(W0)&(~(?[W1]:aElementOf0(W1,W0)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', mDefEmp)).
% 0.21/0.54 fof(c21,plain,(![W0]:((W0!=slcrc0|(aSet0(W0)&(![W1]:~aElementOf0(W1,W0))))&((~aSet0(W0)|(?[W1]:aElementOf0(W1,W0)))|W0=slcrc0))),inference(fof_nnf,[status(thm)],[mDefEmp])).
% 0.21/0.54 fof(c22,plain,((![W0]:(W0!=slcrc0|(aSet0(W0)&(![W1]:~aElementOf0(W1,W0)))))&(![W0]:((~aSet0(W0)|(?[W1]:aElementOf0(W1,W0)))|W0=slcrc0))),inference(shift_quantors,[status(thm)],[c21])).
% 0.21/0.54 fof(c23,plain,((![X5]:(X5!=slcrc0|(aSet0(X5)&(![X6]:~aElementOf0(X6,X5)))))&(![X7]:((~aSet0(X7)|(?[X8]:aElementOf0(X8,X7)))|X7=slcrc0))),inference(variable_rename,[status(thm)],[c22])).
% 0.21/0.54 fof(c25,plain,(![X5]:(![X6]:(![X7]:((X5!=slcrc0|(aSet0(X5)&~aElementOf0(X6,X5)))&((~aSet0(X7)|aElementOf0(skolem0002(X7),X7))|X7=slcrc0))))),inference(shift_quantors,[status(thm)],[fof(c24,plain,((![X5]:(X5!=slcrc0|(aSet0(X5)&(![X6]:~aElementOf0(X6,X5)))))&(![X7]:((~aSet0(X7)|aElementOf0(skolem0002(X7),X7))|X7=slcrc0))),inference(skolemize,[status(esa)],[c23])).])).
% 0.21/0.54 fof(c26,plain,(![X5]:(![X6]:(![X7]:(((X5!=slcrc0|aSet0(X5))&(X5!=slcrc0|~aElementOf0(X6,X5)))&((~aSet0(X7)|aElementOf0(skolem0002(X7),X7))|X7=slcrc0))))),inference(distribute,[status(thm)],[c25])).
% 0.21/0.54 cnf(c27,plain,X19!=slcrc0|aSet0(X19),inference(split_conjunct,[status(thm)],[c26])).
% 0.21/0.54 cnf(c48,plain,aSet0(slcrc0),inference(resolution,[status(thm)],[c27, reflexivity])).
% 0.21/0.54 fof(mEmpFin,axiom,isFinite0(slcrc0),file('/export/starexec/sandbox/benchmark/theBenchmark.p', mEmpFin)).
% 0.21/0.54 cnf(c20,plain,isFinite0(slcrc0),inference(split_conjunct,[status(thm)],[mEmpFin])).
% 0.21/0.54 fof(mCountNFin,axiom,(![W0]:((aSet0(W0)&isCountable0(W0))=>(~isFinite0(W0)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', mCountNFin)).
% 0.21/0.54 fof(c14,plain,(![W0]:((aSet0(W0)&isCountable0(W0))=>~isFinite0(W0))),inference(fof_simplification,[status(thm)],[mCountNFin])).
% 0.21/0.54 fof(c15,plain,(![W0]:((~aSet0(W0)|~isCountable0(W0))|~isFinite0(W0))),inference(fof_nnf,[status(thm)],[c14])).
% 0.21/0.54 fof(c16,plain,(![X4]:((~aSet0(X4)|~isCountable0(X4))|~isFinite0(X4))),inference(variable_rename,[status(thm)],[c15])).
% 0.21/0.54 cnf(c17,plain,~aSet0(X29)|~isCountable0(X29)|~isFinite0(X29),inference(split_conjunct,[status(thm)],[c16])).
% 0.21/0.54 cnf(c55,plain,~aSet0(slcrc0)|~isCountable0(slcrc0),inference(resolution,[status(thm)],[c17, c20])).
% 0.21/0.54 fof(m__,conjecture,(![W0]:((aSet0(W0)&isCountable0(W0))=>(~((~(?[W1]:aElementOf0(W1,W0)))&W0=slcrc0)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__)).
% 0.21/0.54 fof(c5,negated_conjecture,(~(![W0]:((aSet0(W0)&isCountable0(W0))=>(~((~(?[W1]:aElementOf0(W1,W0)))&W0=slcrc0))))),inference(assume_negation,[status(cth)],[m__])).
% 0.21/0.54 fof(c6,negated_conjecture,(?[W0]:((aSet0(W0)&isCountable0(W0))&((![W1]:~aElementOf0(W1,W0))&W0=slcrc0))),inference(fof_nnf,[status(thm)],[c5])).
% 0.21/0.54 fof(c7,negated_conjecture,(?[X2]:((aSet0(X2)&isCountable0(X2))&((![X3]:~aElementOf0(X3,X2))&X2=slcrc0))),inference(variable_rename,[status(thm)],[c6])).
% 0.21/0.54 fof(c9,negated_conjecture,(![X3]:((aSet0(skolem0001)&isCountable0(skolem0001))&(~aElementOf0(X3,skolem0001)&skolem0001=slcrc0))),inference(shift_quantors,[status(thm)],[fof(c8,negated_conjecture,((aSet0(skolem0001)&isCountable0(skolem0001))&((![X3]:~aElementOf0(X3,skolem0001))&skolem0001=slcrc0)),inference(skolemize,[status(esa)],[c7])).])).
% 0.21/0.54 cnf(c11,negated_conjecture,isCountable0(skolem0001),inference(split_conjunct,[status(thm)],[c9])).
% 0.21/0.54 cnf(c13,negated_conjecture,skolem0001=slcrc0,inference(split_conjunct,[status(thm)],[c9])).
% 0.21/0.54 cnf(c4,axiom,X39!=X40|~isCountable0(X39)|isCountable0(X40),theory(equality)).
% 0.21/0.54 cnf(c59,plain,~isCountable0(skolem0001)|isCountable0(slcrc0),inference(resolution,[status(thm)],[c4, c13])).
% 0.21/0.54 cnf(c64,plain,isCountable0(slcrc0),inference(resolution,[status(thm)],[c59, c11])).
% 0.21/0.54 cnf(c65,plain,~aSet0(slcrc0),inference(resolution,[status(thm)],[c64, c55])).
% 0.21/0.54 cnf(c68,plain,$false,inference(resolution,[status(thm)],[c65, c48])).
% 0.21/0.54 % SZS output end CNFRefutation
% 0.21/0.54
% 0.21/0.54 % Initial clauses : 22
% 0.21/0.54 % Processed clauses : 28
% 0.21/0.54 % Factors computed : 1
% 0.21/0.54 % Resolvents computed: 28
% 0.21/0.54 % Tautologies deleted: 6
% 0.21/0.54 % Forward subsumed : 9
% 0.21/0.54 % Backward subsumed : 3
% 0.21/0.54 % -------- CPU Time ---------
% 0.21/0.54 % User time : 0.161 s
% 0.21/0.54 % System time : 0.019 s
% 0.21/0.54 % Total time : 0.180 s
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