TSTP Solution File: NUM550+3 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : NUM550+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n028.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 13:37:36 EDT 2022
% Result : Theorem 1.44s 1.63s
% Output : Refutation 1.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : NUM550+3 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.32 % Computer : n028.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Wed Jul 6 17:14:37 EDT 2022
% 0.12/0.32 % CPUTime :
% 1.44/1.63 # Version: 1.3
% 1.44/1.63 # SZS status Theorem
% 1.44/1.63 # SZS output start CNFRefutation
% 1.44/1.63 fof(m__2202_02,plain,((aSet0(xS)&aSet0(xT))&xk!=sz00),input).
% 1.44/1.63 cnf(c69,plain,xk!=sz00,inference(split_conjunct,status(thm),[m__2202_02])).
% 1.44/1.63 cnf(symmetry,axiom,X137!=X138|X138=X137,eq_axiom).
% 1.44/1.63 cnf(transitivity,axiom,X141!=X142|X142!=X140|X141=X140,eq_axiom).
% 1.44/1.63 fof(m__,conjecture,(~((~(?[W0]:aElementOf0(W0,xQ)))&xQ=slcrc0)),input).
% 1.44/1.63 fof(c16,negated_conjecture,(~(~((~(?[W0]:aElementOf0(W0,xQ)))&xQ=slcrc0))),inference(assume_negation,status(cth),[m__])).
% 1.44/1.63 fof(c17,negated_conjecture,((![W0]:~aElementOf0(W0,xQ))&xQ=slcrc0),inference(fof_nnf,status(thm),[c16])).
% 1.44/1.63 fof(c19,negated_conjecture,(![X2]:(~aElementOf0(X2,xQ)&xQ=slcrc0)),inference(shift_quantors,status(thm),[fof(c18,negated_conjecture,((![X2]:~aElementOf0(X2,xQ))&xQ=slcrc0),inference(variable_rename,status(thm),[c17])).])).
% 1.44/1.63 cnf(c21,negated_conjecture,xQ=slcrc0,inference(split_conjunct,status(thm),[c19])).
% 1.44/1.63 cnf(c352,plain,slcrc0=xQ,inference(resolution,status(thm),[c21, symmetry])).
% 1.44/1.63 cnf(c3,plain,X156!=X157|sbrdtbr0(X156)=sbrdtbr0(X157),eq_axiom).
% 1.44/1.63 cnf(c389,plain,sbrdtbr0(slcrc0)=sbrdtbr0(xQ),inference(resolution,status(thm),[c3, c352])).
% 1.44/1.63 fof(m__2291,plain,((aSet0(xQ)&isFinite0(xQ))&sbrdtbr0(xQ)=xk),input).
% 1.44/1.63 cnf(c24,plain,sbrdtbr0(xQ)=xk,inference(split_conjunct,status(thm),[m__2291])).
% 1.44/1.63 cnf(c368,plain,X266!=sbrdtbr0(xQ)|X266=xk,inference(resolution,status(thm),[c24, transitivity])).
% 1.44/1.63 cnf(c843,plain,sbrdtbr0(slcrc0)=xk,inference(resolution,status(thm),[c368, c389])).
% 1.44/1.63 cnf(c866,plain,X355!=sbrdtbr0(slcrc0)|X355=xk,inference(resolution,status(thm),[c843, transitivity])).
% 1.44/1.63 cnf(reflexivity,axiom,X136=X136,eq_axiom).
% 1.44/1.63 fof(mDefEmp,plain,(![W0]:(W0=slcrc0<=>(aSet0(W0)&(~(?[W1]:aElementOf0(W1,W0)))))),input).
% 1.44/1.63 fof(c330,plain,(![W0]:((W0!=slcrc0|(aSet0(W0)&(![W1]:~aElementOf0(W1,W0))))&((~aSet0(W0)|(?[W1]:aElementOf0(W1,W0)))|W0=slcrc0))),inference(fof_nnf,status(thm),[mDefEmp])).
% 1.44/1.63 fof(c331,plain,((![W0]:(W0!=slcrc0|(aSet0(W0)&(![W1]:~aElementOf0(W1,W0)))))&(![W0]:((~aSet0(W0)|(?[W1]:aElementOf0(W1,W0)))|W0=slcrc0))),inference(shift_quantors,status(thm),[c330])).
% 1.44/1.63 fof(c332,plain,((![X130]:(X130!=slcrc0|(aSet0(X130)&(![X131]:~aElementOf0(X131,X130)))))&(![X132]:((~aSet0(X132)|(?[X133]:aElementOf0(X133,X132)))|X132=slcrc0))),inference(variable_rename,status(thm),[c331])).
% 1.44/1.63 fof(c334,plain,(![X130]:(![X131]:(![X132]:((X130!=slcrc0|(aSet0(X130)&~aElementOf0(X131,X130)))&((~aSet0(X132)|aElementOf0(skolem0015(X132),X132))|X132=slcrc0))))),inference(shift_quantors,status(thm),[fof(c333,plain,((![X130]:(X130!=slcrc0|(aSet0(X130)&(![X131]:~aElementOf0(X131,X130)))))&(![X132]:((~aSet0(X132)|aElementOf0(skolem0015(X132),X132))|X132=slcrc0))),inference(skolemize,status(esa),[c332])).])).
% 1.44/1.63 fof(c335,plain,(![X130]:(![X131]:(![X132]:(((X130!=slcrc0|aSet0(X130))&(X130!=slcrc0|~aElementOf0(X131,X130)))&((~aSet0(X132)|aElementOf0(skolem0015(X132),X132))|X132=slcrc0))))),inference(distribute,status(thm),[c334])).
% 1.44/1.63 cnf(c336,plain,X158!=slcrc0|aSet0(X158),inference(split_conjunct,status(thm),[c335])).
% 1.44/1.63 cnf(c391,plain,aSet0(slcrc0),inference(resolution,status(thm),[c336, reflexivity])).
% 1.44/1.63 fof(mCardEmpty,axiom,(![W0]:(aSet0(W0)=>(sbrdtbr0(W0)=sz00<=>W0=slcrc0))),input).
% 1.44/1.63 fof(c176,axiom,(![W0]:(~aSet0(W0)|((sbrdtbr0(W0)!=sz00|W0=slcrc0)&(W0!=slcrc0|sbrdtbr0(W0)=sz00)))),inference(fof_nnf,status(thm),[mCardEmpty])).
% 1.44/1.63 fof(c177,axiom,(![X66]:(~aSet0(X66)|((sbrdtbr0(X66)!=sz00|X66=slcrc0)&(X66!=slcrc0|sbrdtbr0(X66)=sz00)))),inference(variable_rename,status(thm),[c176])).
% 1.44/1.63 fof(c178,axiom,(![X66]:((~aSet0(X66)|(sbrdtbr0(X66)!=sz00|X66=slcrc0))&(~aSet0(X66)|(X66!=slcrc0|sbrdtbr0(X66)=sz00)))),inference(distribute,status(thm),[c177])).
% 1.44/1.63 cnf(c180,axiom,~aSet0(X353)|X353!=slcrc0|sbrdtbr0(X353)=sz00,inference(split_conjunct,status(thm),[c178])).
% 1.44/1.63 cnf(c1973,plain,~aSet0(slcrc0)|sbrdtbr0(slcrc0)=sz00,inference(resolution,status(thm),[c180, reflexivity])).
% 1.44/1.63 cnf(c2392,plain,sbrdtbr0(slcrc0)=sz00,inference(resolution,status(thm),[c1973, c391])).
% 1.44/1.63 cnf(c2393,plain,sz00=sbrdtbr0(slcrc0),inference(resolution,status(thm),[c2392, symmetry])).
% 1.44/1.63 cnf(c2421,plain,sz00=xk,inference(resolution,status(thm),[c2393, c866])).
% 1.44/1.63 cnf(c2425,plain,xk=sz00,inference(resolution,status(thm),[c2421, symmetry])).
% 1.44/1.63 cnf(c2457,plain,$false,inference(resolution,status(thm),[c2425, c69])).
% 1.44/1.63 # SZS output end CNFRefutation
% 1.44/1.63
% 1.44/1.63 # Initial clauses : 171
% 1.44/1.63 # Processed clauses : 441
% 1.44/1.63 # Factors computed : 2
% 1.44/1.63 # Resolvents computed: 2108
% 1.44/1.63 # Tautologies deleted: 13
% 1.44/1.63 # Forward subsumed : 191
% 1.44/1.63 # Backward subsumed : 16
% 1.44/1.63 # -------- CPU Time ---------
% 1.44/1.63 # User time : 1.286 s
% 1.44/1.63 # System time : 0.018 s
% 1.44/1.63 # Total time : 1.304 s
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