TSTP Solution File: SWC043+1 by PyRes---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : SWC043+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n007.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 17:43:08 EDT 2024

% Result   : Theorem 52.47s 52.65s
% Output   : Refutation 52.47s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14  % Problem  : SWC043+1 : TPTP v8.1.2. Released v2.4.0.
% 0.13/0.14  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.36  % Computer : n007.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Thu May  9 03:12:53 EDT 2024
% 0.15/0.36  % CPUTime  : 
% 52.47/52.65  % Version:  1.5
% 52.47/52.65  % SZS status Theorem
% 52.47/52.65  % SZS output start CNFRefutation
% 52.47/52.65  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)))))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', co1)).
% 52.47/52.65  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])).
% 52.47/52.65  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])).
% 52.47/52.65  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])).
% 52.47/52.65  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])).
% 52.47/52.65  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])).
% 52.47/52.65  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])).])).
% 52.47/52.65  cnf(c37,negated_conjecture,nil!=skolem0001,inference(split_conjunct,[status(thm)],[c29])).
% 52.47/52.65  cnf(transitivity,axiom,X259!=X260|X260!=X258|X259=X258,theory(equality)).
% 52.47/52.65  cnf(symmetry,axiom,X256!=X257|X257=X256,theory(equality)).
% 52.47/52.65  cnf(c36,negated_conjecture,skolem0001=skolem0003,inference(split_conjunct,[status(thm)],[c29])).
% 52.47/52.65  cnf(c527,plain,skolem0003=skolem0001,inference(resolution,[status(thm)],[c36, symmetry])).
% 52.47/52.65  cnf(c548,plain,X416!=skolem0003|X416=skolem0001,inference(resolution,[status(thm)],[c527, transitivity])).
% 52.47/52.65  cnf(c32,negated_conjecture,ssList(skolem0003),inference(split_conjunct,[status(thm)],[c29])).
% 52.47/52.65  cnf(c38,negated_conjecture,ssList(skolem0005),inference(split_conjunct,[status(thm)],[c29])).
% 52.47/52.65  fof(ax83,axiom,(![U]:(ssList(U)=>(![V]:(ssList(V)=>(nil=app(U,V)<=>(nil=V&nil=U)))))),file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax83)).
% 52.47/52.65  fof(c93,plain,(![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])).
% 52.47/52.65  fof(c95,plain,(![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,plain,(![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])).])).
% 52.47/52.65  fof(c96,plain,(![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])).
% 52.47/52.65  cnf(c98,plain,~ssList(X399)|~ssList(X398)|nil!=app(X399,X398)|nil=X399,inference(split_conjunct,[status(thm)],[c96])).
% 52.47/52.65  cnf(c39,negated_conjecture,app(skolem0003,skolem0005)=skolem0004,inference(split_conjunct,[status(thm)],[c29])).
% 52.47/52.65  cnf(c34,negated_conjecture,nil=skolem0002,inference(split_conjunct,[status(thm)],[c29])).
% 52.47/52.65  cnf(c35,negated_conjecture,skolem0002=skolem0004,inference(split_conjunct,[status(thm)],[c29])).
% 52.47/52.65  cnf(c525,plain,X394!=skolem0002|X394=skolem0004,inference(resolution,[status(thm)],[c35, transitivity])).
% 52.47/52.65  cnf(c785,plain,nil=skolem0004,inference(resolution,[status(thm)],[c525, c34])).
% 52.47/52.65  cnf(c799,plain,skolem0004=nil,inference(resolution,[status(thm)],[c785, symmetry])).
% 52.47/52.65  cnf(c819,plain,X423!=skolem0004|X423=nil,inference(resolution,[status(thm)],[c799, transitivity])).
% 52.47/52.65  cnf(c1175,plain,app(skolem0003,skolem0005)=nil,inference(resolution,[status(thm)],[c819, c39])).
% 52.47/52.65  cnf(c1340,plain,nil=app(skolem0003,skolem0005),inference(resolution,[status(thm)],[c1175, symmetry])).
% 52.47/52.65  cnf(c1638,plain,~ssList(skolem0003)|~ssList(skolem0005)|nil=skolem0003,inference(resolution,[status(thm)],[c1340, c98])).
% 52.47/52.65  cnf(c80484,plain,~ssList(skolem0003)|nil=skolem0003,inference(resolution,[status(thm)],[c1638, c38])).
% 52.47/52.65  cnf(c86617,plain,nil=skolem0003,inference(resolution,[status(thm)],[c80484, c32])).
% 52.47/52.65  cnf(c86982,plain,nil=skolem0001,inference(resolution,[status(thm)],[c86617, c548])).
% 52.47/52.65  cnf(c87423,plain,$false,inference(resolution,[status(thm)],[c86982, c37])).
% 52.47/52.65  % SZS output end CNFRefutation
% 52.47/52.65  
% 52.47/52.65  % Initial clauses    : 229
% 52.47/52.65  % Processed clauses  : 2457
% 52.47/52.65  % Factors computed   : 59
% 52.47/52.65  % Resolvents computed: 86940
% 52.47/52.65  % Tautologies deleted: 23
% 52.47/52.65  % Forward subsumed   : 1439
% 52.47/52.65  % Backward subsumed  : 187
% 52.47/52.65  % -------- CPU Time ---------
% 52.47/52.65  % User time          : 52.041 s
% 52.47/52.65  % System time        : 0.250 s
% 52.47/52.65  % Total time         : 52.291 s
%------------------------------------------------------------------------------