TSTP Solution File: NUM550+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : NUM550+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n008.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 1.06s 1.25s
% Output : Refutation 1.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM550+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 : n008.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 : Tue Jul 5 19:46:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.06/1.25 # Version: 1.3
% 1.06/1.25 # SZS status Theorem
% 1.06/1.25 # SZS output start CNFRefutation
% 1.06/1.25 fof(m__2202_02,plain,((aSet0(xS)&aSet0(xT))&xk!=sz00),input).
% 1.06/1.25 cnf(c28,plain,xk!=sz00,inference(split_conjunct,status(thm),[m__2202_02])).
% 1.06/1.25 cnf(symmetry,axiom,X121!=X122|X122=X121,eq_axiom).
% 1.06/1.25 cnf(transitivity,axiom,X124!=X125|X125!=X126|X124=X126,eq_axiom).
% 1.06/1.25 fof(m__,conjecture,xQ!=slcrc0,input).
% 1.06/1.25 fof(c16,negated_conjecture,(~xQ!=slcrc0),inference(assume_negation,status(cth),[m__])).
% 1.06/1.25 fof(c17,negated_conjecture,xQ=slcrc0,inference(fof_simplification,status(thm),[c16])).
% 1.06/1.25 cnf(c18,negated_conjecture,xQ=slcrc0,inference(split_conjunct,status(thm),[c17])).
% 1.06/1.25 cnf(c309,plain,slcrc0=xQ,inference(resolution,status(thm),[c18, symmetry])).
% 1.06/1.25 cnf(c3,plain,X141!=X140|sbrdtbr0(X141)=sbrdtbr0(X140),eq_axiom).
% 1.06/1.25 cnf(c345,plain,sbrdtbr0(slcrc0)=sbrdtbr0(xQ),inference(resolution,status(thm),[c3, c309])).
% 1.06/1.25 fof(m__2291,plain,((aSet0(xQ)&isFinite0(xQ))&sbrdtbr0(xQ)=xk),input).
% 1.06/1.25 cnf(c21,plain,sbrdtbr0(xQ)=xk,inference(split_conjunct,status(thm),[m__2291])).
% 1.06/1.25 cnf(c327,plain,X263!=sbrdtbr0(xQ)|X263=xk,inference(resolution,status(thm),[c21, transitivity])).
% 1.06/1.25 cnf(c861,plain,sbrdtbr0(slcrc0)=xk,inference(resolution,status(thm),[c327, c345])).
% 1.06/1.25 cnf(c868,plain,X327!=sbrdtbr0(slcrc0)|X327=xk,inference(resolution,status(thm),[c861, transitivity])).
% 1.06/1.25 cnf(reflexivity,axiom,X120=X120,eq_axiom).
% 1.06/1.25 fof(mDefEmp,plain,(![W0]:(W0=slcrc0<=>(aSet0(W0)&(~(?[W1]:aElementOf0(W1,W0)))))),input).
% 1.06/1.25 fof(c289,plain,(![W0]:((W0!=slcrc0|(aSet0(W0)&(![W1]:~aElementOf0(W1,W0))))&((~aSet0(W0)|(?[W1]:aElementOf0(W1,W0)))|W0=slcrc0))),inference(fof_nnf,status(thm),[mDefEmp])).
% 1.06/1.25 fof(c290,plain,((![W0]:(W0!=slcrc0|(aSet0(W0)&(![W1]:~aElementOf0(W1,W0)))))&(![W0]:((~aSet0(W0)|(?[W1]:aElementOf0(W1,W0)))|W0=slcrc0))),inference(shift_quantors,status(thm),[c289])).
% 1.06/1.25 fof(c291,plain,((![X114]:(X114!=slcrc0|(aSet0(X114)&(![X115]:~aElementOf0(X115,X114)))))&(![X116]:((~aSet0(X116)|(?[X117]:aElementOf0(X117,X116)))|X116=slcrc0))),inference(variable_rename,status(thm),[c290])).
% 1.06/1.25 fof(c293,plain,(![X114]:(![X115]:(![X116]:((X114!=slcrc0|(aSet0(X114)&~aElementOf0(X115,X114)))&((~aSet0(X116)|aElementOf0(skolem0011(X116),X116))|X116=slcrc0))))),inference(shift_quantors,status(thm),[fof(c292,plain,((![X114]:(X114!=slcrc0|(aSet0(X114)&(![X115]:~aElementOf0(X115,X114)))))&(![X116]:((~aSet0(X116)|aElementOf0(skolem0011(X116),X116))|X116=slcrc0))),inference(skolemize,status(esa),[c291])).])).
% 1.06/1.25 fof(c294,plain,(![X114]:(![X115]:(![X116]:(((X114!=slcrc0|aSet0(X114))&(X114!=slcrc0|~aElementOf0(X115,X114)))&((~aSet0(X116)|aElementOf0(skolem0011(X116),X116))|X116=slcrc0))))),inference(distribute,status(thm),[c293])).
% 1.06/1.25 cnf(c295,plain,X139!=slcrc0|aSet0(X139),inference(split_conjunct,status(thm),[c294])).
% 1.06/1.25 cnf(c343,plain,aSet0(slcrc0),inference(resolution,status(thm),[c295, reflexivity])).
% 1.06/1.25 fof(mCardEmpty,axiom,(![W0]:(aSet0(W0)=>(sbrdtbr0(W0)=sz00<=>W0=slcrc0))),input).
% 1.06/1.25 fof(c135,axiom,(![W0]:(~aSet0(W0)|((sbrdtbr0(W0)!=sz00|W0=slcrc0)&(W0!=slcrc0|sbrdtbr0(W0)=sz00)))),inference(fof_nnf,status(thm),[mCardEmpty])).
% 1.06/1.25 fof(c136,axiom,(![X50]:(~aSet0(X50)|((sbrdtbr0(X50)!=sz00|X50=slcrc0)&(X50!=slcrc0|sbrdtbr0(X50)=sz00)))),inference(variable_rename,status(thm),[c135])).
% 1.06/1.25 fof(c137,axiom,(![X50]:((~aSet0(X50)|(sbrdtbr0(X50)!=sz00|X50=slcrc0))&(~aSet0(X50)|(X50!=slcrc0|sbrdtbr0(X50)=sz00)))),inference(distribute,status(thm),[c136])).
% 1.06/1.25 cnf(c139,axiom,~aSet0(X304)|X304!=slcrc0|sbrdtbr0(X304)=sz00,inference(split_conjunct,status(thm),[c137])).
% 1.06/1.25 cnf(c1503,plain,~aSet0(slcrc0)|sbrdtbr0(slcrc0)=sz00,inference(resolution,status(thm),[c139, reflexivity])).
% 1.06/1.25 cnf(c1887,plain,sbrdtbr0(slcrc0)=sz00,inference(resolution,status(thm),[c1503, c343])).
% 1.06/1.25 cnf(c1900,plain,sz00=sbrdtbr0(slcrc0),inference(resolution,status(thm),[c1887, symmetry])).
% 1.06/1.25 cnf(c1922,plain,sz00=xk,inference(resolution,status(thm),[c1900, c868])).
% 1.06/1.25 cnf(c1932,plain,xk=sz00,inference(resolution,status(thm),[c1922, symmetry])).
% 1.06/1.25 cnf(c1963,plain,$false,inference(resolution,status(thm),[c1932, c28])).
% 1.06/1.25 # SZS output end CNFRefutation
% 1.06/1.25
% 1.06/1.25 # Initial clauses : 141
% 1.06/1.25 # Processed clauses : 356
% 1.06/1.25 # Factors computed : 0
% 1.06/1.25 # Resolvents computed: 1656
% 1.06/1.25 # Tautologies deleted: 12
% 1.06/1.25 # Forward subsumed : 134
% 1.06/1.25 # Backward subsumed : 8
% 1.06/1.25 # -------- CPU Time ---------
% 1.06/1.25 # User time : 0.893 s
% 1.06/1.25 # System time : 0.017 s
% 1.06/1.25 # Total time : 0.910 s
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