TSTP Solution File: SWC043+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SWC043+1 : TPTP v8.1.0. Released v2.4.0.
% 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 : Tue Jul 19 21:47:34 EDT 2022
% Result : Theorem 34.94s 35.12s
% Output : Refutation 34.94s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWC043+1 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n028.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 : Sun Jun 12 21:06:22 EDT 2022
% 0.13/0.35 % CPUTime :
% 34.94/35.12 # Version: 1.3
% 34.94/35.12 # SZS status Theorem
% 34.94/35.12 # SZS output start CNFRefutation
% 34.94/35.12 fof(co1,conjecture,(![U]:(ssList(U)=>(![V]:(ssList(V)=>(![W]:(ssList(W)=>(![X]:(ssList(X)=>(((((nil!=V|V!=X)|U!=W)|nil=U)|(![Y]:(ssList(Y)=>((app(W,Y)!=X|(~strictorderedP(W)))|(?[Z]:(ssItem(Z)&(?[X1]:((ssList(X1)&app(cons(Z,nil),X1)=Y)&(?[X2]:(ssItem(X2)&(?[X3]:((ssList(X3)&app(X3,cons(X2,nil))=W)<(X2,Z)))))))))))))|(nil!=X&nil=W)))))))))),input).
% 34.94/35.12 fof(c23,negated_conjecture,(~(![U]:(ssList(U)=>(![V]:(ssList(V)=>(![W]:(ssList(W)=>(![X]:(ssList(X)=>(((((nil!=V|V!=X)|U!=W)|nil=U)|(![Y]:(ssList(Y)=>((app(W,Y)!=X|(~strictorderedP(W)))|(?[Z]:(ssItem(Z)&(?[X1]:((ssList(X1)&app(cons(Z,nil),X1)=Y)&(?[X2]:(ssItem(X2)&(?[X3]:((ssList(X3)&app(X3,cons(X2,nil))=W)<(X2,Z)))))))))))))|(nil!=X&nil=W))))))))))),inference(assume_negation,status(cth),[co1])).
% 34.94/35.12 fof(c24,negated_conjecture,(~(![U]:(ssList(U)=>(![V]:(ssList(V)=>(![W]:(ssList(W)=>(![X]:(ssList(X)=>(((((nil!=V|V!=X)|U!=W)|nil=U)|(![Y]:(ssList(Y)=>((app(W,Y)!=X|~strictorderedP(W))|(?[Z]:(ssItem(Z)&(?[X1]:((ssList(X1)&app(cons(Z,nil),X1)=Y)&(?[X2]:(ssItem(X2)&(?[X3]:((ssList(X3)&app(X3,cons(X2,nil))=W)<(X2,Z)))))))))))))|(nil!=X&nil=W))))))))))),inference(fof_simplification,status(thm),[c23])).
% 34.94/35.12 fof(c25,negated_conjecture,(?[U]:(ssList(U)&(?[V]:(ssList(V)&(?[W]:(ssList(W)&(?[X]:(ssList(X)&(((((nil=V&V=X)&U=W)&nil!=U)&(?[Y]:(ssList(Y)&((app(W,Y)=X&strictorderedP(W))&(![Z]:(~ssItem(Z)|(![X1]:((~ssList(X1)|app(cons(Z,nil),X1)!=Y)|(![X2]:(~ssItem(X2)|(![X3]:((~ssList(X3)|app(X3,cons(X2,nil))!=W)|~lt(X2,Z)))))))))))))&(nil=X|nil!=W)))))))))),inference(fof_nnf,status(thm),[c24])).
% 34.94/35.12 fof(c26,negated_conjecture,(?[U]:(ssList(U)&(?[V]:(ssList(V)&(?[W]:(ssList(W)&(?[X]:(ssList(X)&(((((nil=V&V=X)&U=W)&nil!=U)&(?[Y]:(ssList(Y)&((app(W,Y)=X&strictorderedP(W))&(![Z]:(~ssItem(Z)|((![X1]:(~ssList(X1)|app(cons(Z,nil),X1)!=Y))|(![X2]:(~ssItem(X2)|((![X3]:(~ssList(X3)|app(X3,cons(X2,nil))!=W))|~lt(X2,Z)))))))))))&(nil=X|nil!=W)))))))))),inference(shift_quantors,status(thm),[c25])).
% 34.94/35.12 fof(c27,negated_conjecture,(?[X2]:(ssList(X2)&(?[X3]:(ssList(X3)&(?[X4]:(ssList(X4)&(?[X5]:(ssList(X5)&(((((nil=X3&X3=X5)&X2=X4)&nil!=X2)&(?[X6]:(ssList(X6)&((app(X4,X6)=X5&strictorderedP(X4))&(![X7]:(~ssItem(X7)|((![X8]:(~ssList(X8)|app(cons(X7,nil),X8)!=X6))|(![X9]:(~ssItem(X9)|((![X10]:(~ssList(X10)|app(X10,cons(X9,nil))!=X4))|~lt(X9,X7)))))))))))&(nil=X5|nil!=X4)))))))))),inference(variable_rename,status(thm),[c26])).
% 34.94/35.12 fof(c29,negated_conjecture,(![X7]:(![X8]:(![X9]:(![X10]:(ssList(skolem0001)&(ssList(skolem0002)&(ssList(skolem0003)&(ssList(skolem0004)&(((((nil=skolem0002&skolem0002=skolem0004)&skolem0001=skolem0003)&nil!=skolem0001)&(ssList(skolem0005)&((app(skolem0003,skolem0005)=skolem0004&strictorderedP(skolem0003))&(~ssItem(X7)|((~ssList(X8)|app(cons(X7,nil),X8)!=skolem0005)|(~ssItem(X9)|((~ssList(X10)|app(X10,cons(X9,nil))!=skolem0003)|~lt(X9,X7))))))))&(nil=skolem0004|nil!=skolem0003)))))))))),inference(shift_quantors,status(thm),[fof(c28,negated_conjecture,(ssList(skolem0001)&(ssList(skolem0002)&(ssList(skolem0003)&(ssList(skolem0004)&(((((nil=skolem0002&skolem0002=skolem0004)&skolem0001=skolem0003)&nil!=skolem0001)&(ssList(skolem0005)&((app(skolem0003,skolem0005)=skolem0004&strictorderedP(skolem0003))&(![X7]:(~ssItem(X7)|((![X8]:(~ssList(X8)|app(cons(X7,nil),X8)!=skolem0005))|(![X9]:(~ssItem(X9)|((![X10]:(~ssList(X10)|app(X10,cons(X9,nil))!=skolem0003))|~lt(X9,X7))))))))))&(nil=skolem0004|nil!=skolem0003)))))),inference(skolemize,status(esa),[c27])).])).
% 34.94/35.12 cnf(c37,negated_conjecture,nil!=skolem0001,inference(split_conjunct,status(thm),[c29])).
% 34.94/35.12 cnf(transitivity,axiom,X259!=X258|X258!=X260|X259=X260,eq_axiom).
% 34.94/35.12 cnf(symmetry,axiom,X257!=X256|X256=X257,eq_axiom).
% 34.94/35.12 cnf(c36,negated_conjecture,skolem0001=skolem0003,inference(split_conjunct,status(thm),[c29])).
% 34.94/35.12 cnf(c526,plain,skolem0003=skolem0001,inference(resolution,status(thm),[c36, symmetry])).
% 34.94/35.12 cnf(c542,plain,X414!=skolem0003|X414=skolem0001,inference(resolution,status(thm),[c526, transitivity])).
% 34.94/35.12 cnf(c32,negated_conjecture,ssList(skolem0003),inference(split_conjunct,status(thm),[c29])).
% 34.94/35.12 cnf(c38,negated_conjecture,ssList(skolem0005),inference(split_conjunct,status(thm),[c29])).
% 34.94/35.12 fof(ax83,axiom,(![U]:(ssList(U)=>(![V]:(ssList(V)=>(nil=app(U,V)<=>(nil=V&nil=U)))))),input).
% 34.94/35.12 fof(c93,axiom,(![U]:(~ssList(U)|(![V]:(~ssList(V)|((nil!=app(U,V)|(nil=V&nil=U))&((nil!=V|nil!=U)|nil=app(U,V))))))),inference(fof_nnf,status(thm),[ax83])).
% 34.94/35.12 fof(c95,axiom,(![X35]:(![X36]:(~ssList(X35)|(~ssList(X36)|((nil!=app(X35,X36)|(nil=X36&nil=X35))&((nil!=X36|nil!=X35)|nil=app(X35,X36))))))),inference(shift_quantors,status(thm),[fof(c94,axiom,(![X35]:(~ssList(X35)|(![X36]:(~ssList(X36)|((nil!=app(X35,X36)|(nil=X36&nil=X35))&((nil!=X36|nil!=X35)|nil=app(X35,X36))))))),inference(variable_rename,status(thm),[c93])).])).
% 34.94/35.12 fof(c96,axiom,(![X35]:(![X36]:(((~ssList(X35)|(~ssList(X36)|(nil!=app(X35,X36)|nil=X36)))&(~ssList(X35)|(~ssList(X36)|(nil!=app(X35,X36)|nil=X35))))&(~ssList(X35)|(~ssList(X36)|((nil!=X36|nil!=X35)|nil=app(X35,X36))))))),inference(distribute,status(thm),[c95])).
% 34.94/35.12 cnf(c98,axiom,~ssList(X397)|~ssList(X396)|nil!=app(X397,X396)|nil=X397,inference(split_conjunct,status(thm),[c96])).
% 34.94/35.12 cnf(c39,negated_conjecture,app(skolem0003,skolem0005)=skolem0004,inference(split_conjunct,status(thm),[c29])).
% 34.94/35.12 cnf(c34,negated_conjecture,nil=skolem0002,inference(split_conjunct,status(thm),[c29])).
% 34.94/35.12 cnf(c35,negated_conjecture,skolem0002=skolem0004,inference(split_conjunct,status(thm),[c29])).
% 34.94/35.12 cnf(c520,plain,X390!=skolem0002|X390=skolem0004,inference(resolution,status(thm),[c35, transitivity])).
% 34.94/35.12 cnf(c770,plain,nil=skolem0004,inference(resolution,status(thm),[c520, c34])).
% 34.94/35.12 cnf(c777,plain,skolem0004=nil,inference(resolution,status(thm),[c770, symmetry])).
% 34.94/35.12 cnf(c800,plain,X420!=skolem0004|X420=nil,inference(resolution,status(thm),[c777, transitivity])).
% 34.94/35.12 cnf(c1121,plain,app(skolem0003,skolem0005)=nil,inference(resolution,status(thm),[c800, c39])).
% 34.94/35.12 cnf(c1310,plain,nil=app(skolem0003,skolem0005),inference(resolution,status(thm),[c1121, symmetry])).
% 34.94/35.12 cnf(c1607,plain,~ssList(skolem0003)|~ssList(skolem0005)|nil=skolem0003,inference(resolution,status(thm),[c1310, c98])).
% 34.94/35.12 cnf(c74601,plain,~ssList(skolem0003)|nil=skolem0003,inference(resolution,status(thm),[c1607, c38])).
% 34.94/35.12 cnf(c74602,plain,nil=skolem0003,inference(resolution,status(thm),[c74601, c32])).
% 34.94/35.12 cnf(c74686,plain,nil=skolem0001,inference(resolution,status(thm),[c74602, c542])).
% 34.94/35.12 cnf(c75038,plain,$false,inference(resolution,status(thm),[c74686, c37])).
% 34.94/35.12 # SZS output end CNFRefutation
% 34.94/35.12
% 34.94/35.12 # Initial clauses : 229
% 34.94/35.12 # Processed clauses : 2258
% 34.94/35.12 # Factors computed : 1
% 34.94/35.12 # Resolvents computed: 74549
% 34.94/35.12 # Tautologies deleted: 15
% 34.94/35.12 # Forward subsumed : 1151
% 34.94/35.12 # Backward subsumed : 101
% 34.94/35.12 # -------- CPU Time ---------
% 34.94/35.12 # User time : 34.623 s
% 34.94/35.12 # System time : 0.144 s
% 34.94/35.12 # Total time : 34.767 s
%------------------------------------------------------------------------------