TSTP Solution File: SWC288+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SWC288+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n024.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 21:48:48 EDT 2022
% Result : Theorem 25.36s 25.58s
% Output : Refutation 25.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SWC288+1 : TPTP v8.1.0. Released v2.4.0.
% 0.13/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n024.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 : 600
% 0.13/0.35 % DateTime : Sun Jun 12 03:06:04 EDT 2022
% 0.13/0.35 % CPUTime :
% 25.36/25.58 # Version: 1.3
% 25.36/25.58 # SZS status Theorem
% 25.36/25.58 # SZS output start CNFRefutation
% 25.36/25.58 fof(co1,conjecture,(![U]:(ssList(U)=>(![V]:(ssList(V)=>(![W]:(ssList(W)=>(![X]:(((((~ssList(X))|V!=X)|U!=W)|strictorderedP(U))|((![Y]:(ssItem(Y)=>(![Z]:(ssList(Z)=>(![X1]:(((((~ssList(X1))|cons(Y,nil)!=W)|app(app(Z,W),X1)!=X)|(?[X2]:((ssItem(X2)&memberP(Z,X2))<(Y,X2))))|(?[X3]:((ssItem(X3)&memberP(X1,X3))<(X3,Y)))))))))&(nil!=X|nil!=W)))))))))),input).
% 25.36/25.58 fof(c23,negated_conjecture,(~(![U]:(ssList(U)=>(![V]:(ssList(V)=>(![W]:(ssList(W)=>(![X]:(((((~ssList(X))|V!=X)|U!=W)|strictorderedP(U))|((![Y]:(ssItem(Y)=>(![Z]:(ssList(Z)=>(![X1]:(((((~ssList(X1))|cons(Y,nil)!=W)|app(app(Z,W),X1)!=X)|(?[X2]:((ssItem(X2)&memberP(Z,X2))<(Y,X2))))|(?[X3]:((ssItem(X3)&memberP(X1,X3))<(X3,Y)))))))))&(nil!=X|nil!=W))))))))))),inference(assume_negation,status(cth),[co1])).
% 25.36/25.58 fof(c24,negated_conjecture,(~(![U]:(ssList(U)=>(![V]:(ssList(V)=>(![W]:(ssList(W)=>(![X]:((((~ssList(X)|V!=X)|U!=W)|strictorderedP(U))|((![Y]:(ssItem(Y)=>(![Z]:(ssList(Z)=>(![X1]:((((~ssList(X1)|cons(Y,nil)!=W)|app(app(Z,W),X1)!=X)|(?[X2]:((ssItem(X2)&memberP(Z,X2))<(Y,X2))))|(?[X3]:((ssItem(X3)&memberP(X1,X3))<(X3,Y)))))))))&(nil!=X|nil!=W))))))))))),inference(fof_simplification,status(thm),[c23])).
% 25.36/25.58 fof(c25,negated_conjecture,(?[U]:(ssList(U)&(?[V]:(ssList(V)&(?[W]:(ssList(W)&(?[X]:((((ssList(X)&V=X)&U=W)&~strictorderedP(U))&((?[Y]:(ssItem(Y)&(?[Z]:(ssList(Z)&(?[X1]:((((ssList(X1)&cons(Y,nil)=W)&app(app(Z,W),X1)=X)&(![X2]:((~ssItem(X2)|~memberP(Z,X2))|~lt(Y,X2))))&(![X3]:((~ssItem(X3)|~memberP(X1,X3))|~lt(X3,Y)))))))))|(nil=X&nil=W)))))))))),inference(fof_nnf,status(thm),[c24])).
% 25.36/25.58 fof(c26,negated_conjecture,(?[X2]:(ssList(X2)&(?[X3]:(ssList(X3)&(?[X4]:(ssList(X4)&(?[X5]:((((ssList(X5)&X3=X5)&X2=X4)&~strictorderedP(X2))&((?[X6]:(ssItem(X6)&(?[X7]:(ssList(X7)&(?[X8]:((((ssList(X8)&cons(X6,nil)=X4)&app(app(X7,X4),X8)=X5)&(![X9]:((~ssItem(X9)|~memberP(X7,X9))|~lt(X6,X9))))&(![X10]:((~ssItem(X10)|~memberP(X8,X10))|~lt(X10,X6)))))))))|(nil=X5&nil=X4)))))))))),inference(variable_rename,status(thm),[c25])).
% 25.36/25.58 fof(c28,negated_conjecture,(![X9]:(![X10]:(ssList(skolem0001)&(ssList(skolem0002)&(ssList(skolem0003)&((((ssList(skolem0004)&skolem0002=skolem0004)&skolem0001=skolem0003)&~strictorderedP(skolem0001))&((ssItem(skolem0005)&(ssList(skolem0006)&((((ssList(skolem0007)&cons(skolem0005,nil)=skolem0003)&app(app(skolem0006,skolem0003),skolem0007)=skolem0004)&((~ssItem(X9)|~memberP(skolem0006,X9))|~lt(skolem0005,X9)))&((~ssItem(X10)|~memberP(skolem0007,X10))|~lt(X10,skolem0005)))))|(nil=skolem0004&nil=skolem0003)))))))),inference(shift_quantors,status(thm),[fof(c27,negated_conjecture,(ssList(skolem0001)&(ssList(skolem0002)&(ssList(skolem0003)&((((ssList(skolem0004)&skolem0002=skolem0004)&skolem0001=skolem0003)&~strictorderedP(skolem0001))&((ssItem(skolem0005)&(ssList(skolem0006)&((((ssList(skolem0007)&cons(skolem0005,nil)=skolem0003)&app(app(skolem0006,skolem0003),skolem0007)=skolem0004)&(![X9]:((~ssItem(X9)|~memberP(skolem0006,X9))|~lt(skolem0005,X9))))&(![X10]:((~ssItem(X10)|~memberP(skolem0007,X10))|~lt(X10,skolem0005))))))|(nil=skolem0004&nil=skolem0003)))))),inference(skolemize,status(esa),[c26])).])).
% 25.36/25.58 fof(c29,negated_conjecture,(![X9]:(![X10]:(ssList(skolem0001)&(ssList(skolem0002)&(ssList(skolem0003)&((((ssList(skolem0004)&skolem0002=skolem0004)&skolem0001=skolem0003)&~strictorderedP(skolem0001))&(((ssItem(skolem0005)|nil=skolem0004)&(ssItem(skolem0005)|nil=skolem0003))&(((ssList(skolem0006)|nil=skolem0004)&(ssList(skolem0006)|nil=skolem0003))&((((((ssList(skolem0007)|nil=skolem0004)&(ssList(skolem0007)|nil=skolem0003))&((cons(skolem0005,nil)=skolem0003|nil=skolem0004)&(cons(skolem0005,nil)=skolem0003|nil=skolem0003)))&((app(app(skolem0006,skolem0003),skolem0007)=skolem0004|nil=skolem0004)&(app(app(skolem0006,skolem0003),skolem0007)=skolem0004|nil=skolem0003)))&((((~ssItem(X9)|~memberP(skolem0006,X9))|~lt(skolem0005,X9))|nil=skolem0004)&(((~ssItem(X9)|~memberP(skolem0006,X9))|~lt(skolem0005,X9))|nil=skolem0003)))&((((~ssItem(X10)|~memberP(skolem0007,X10))|~lt(X10,skolem0005))|nil=skolem0004)&(((~ssItem(X10)|~memberP(skolem0007,X10))|~lt(X10,skolem0005))|nil=skolem0003))))))))))),inference(distribute,status(thm),[c28])).
% 25.36/25.58 cnf(c36,negated_conjecture,~strictorderedP(skolem0001),inference(split_conjunct,status(thm),[c29])).
% 25.36/25.58 cnf(symmetry,axiom,X257!=X256|X256=X257,eq_axiom).
% 25.36/25.58 cnf(c35,negated_conjecture,skolem0001=skolem0003,inference(split_conjunct,status(thm),[c29])).
% 25.36/25.58 cnf(c527,plain,skolem0003=skolem0001,inference(resolution,status(thm),[c35, symmetry])).
% 25.36/25.58 cnf(c18,plain,X338!=X337|~strictorderedP(X338)|strictorderedP(X337),eq_axiom).
% 25.36/25.58 cnf(c652,plain,~strictorderedP(skolem0003)|strictorderedP(skolem0001),inference(resolution,status(thm),[c18, c527])).
% 25.36/25.58 fof(ax69,axiom,strictorderedP(nil),input).
% 25.36/25.58 cnf(c160,axiom,strictorderedP(nil),inference(split_conjunct,status(thm),[ax69])).
% 25.36/25.58 fof(ax68,axiom,(![U]:(ssItem(U)=>strictorderedP(cons(U,nil)))),input).
% 25.36/25.58 fof(c161,axiom,(![U]:(~ssItem(U)|strictorderedP(cons(U,nil)))),inference(fof_nnf,status(thm),[ax68])).
% 25.36/25.58 fof(c162,axiom,(![X59]:(~ssItem(X59)|strictorderedP(cons(X59,nil)))),inference(variable_rename,status(thm),[c161])).
% 25.36/25.58 cnf(c163,axiom,~ssItem(X356)|strictorderedP(cons(X356,nil)),inference(split_conjunct,status(thm),[c162])).
% 25.36/25.58 cnf(c38,negated_conjecture,ssItem(skolem0005)|nil=skolem0003,inference(split_conjunct,status(thm),[c29])).
% 25.36/25.58 cnf(c691,plain,ssItem(skolem0005)|~strictorderedP(nil)|strictorderedP(skolem0003),inference(resolution,status(thm),[c38, c18])).
% 25.36/25.58 cnf(c28284,plain,ssItem(skolem0005)|strictorderedP(skolem0003),inference(resolution,status(thm),[c691, c160])).
% 25.36/25.58 cnf(c28300,plain,ssItem(skolem0005)|strictorderedP(skolem0001),inference(resolution,status(thm),[c28284, c652])).
% 25.36/25.58 cnf(c28316,plain,ssItem(skolem0005),inference(resolution,status(thm),[c28300, c36])).
% 25.36/25.58 cnf(c28320,plain,strictorderedP(cons(skolem0005,nil)),inference(resolution,status(thm),[c28316, c163])).
% 25.36/25.58 cnf(c44,negated_conjecture,cons(skolem0005,nil)=skolem0003|nil=skolem0003,inference(split_conjunct,status(thm),[c29])).
% 25.36/25.58 cnf(c839,plain,nil=skolem0003|~strictorderedP(cons(skolem0005,nil))|strictorderedP(skolem0003),inference(resolution,status(thm),[c44, c18])).
% 25.36/25.58 cnf(c41158,plain,nil=skolem0003|strictorderedP(skolem0003),inference(resolution,status(thm),[c839, c28320])).
% 25.36/25.58 cnf(c46019,plain,strictorderedP(skolem0003)|~strictorderedP(nil),inference(resolution,status(thm),[c41158, c18])).
% 25.36/25.58 cnf(c46065,plain,strictorderedP(skolem0003),inference(resolution,status(thm),[c46019, c160])).
% 25.36/25.58 cnf(c46066,plain,strictorderedP(skolem0001),inference(resolution,status(thm),[c46065, c652])).
% 25.36/25.58 cnf(c46067,plain,$false,inference(resolution,status(thm),[c46066, c36])).
% 25.36/25.58 # SZS output end CNFRefutation
% 25.36/25.58
% 25.36/25.58 # Initial clauses : 237
% 25.36/25.58 # Processed clauses : 1547
% 25.36/25.58 # Factors computed : 0
% 25.36/25.58 # Resolvents computed: 45548
% 25.36/25.58 # Tautologies deleted: 13
% 25.36/25.58 # Forward subsumed : 910
% 25.36/25.58 # Backward subsumed : 279
% 25.36/25.58 # -------- CPU Time ---------
% 25.36/25.58 # User time : 25.119 s
% 25.36/25.58 # System time : 0.101 s
% 25.36/25.58 # Total time : 25.220 s
%------------------------------------------------------------------------------