TSTP Solution File: SWC041+1 by PyRes---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SWC041+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n022.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 51.83s 52.00s
% Output : Refutation 51.83s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC041+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 9 02:52:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 51.83/52.00 % Version: 1.5
% 51.83/52.00 % SZS status Theorem
% 51.83/52.00 % SZS output start CNFRefutation
% 51.83/52.00 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|(~equalelemsP(W)))|(?[Z]:(ssItem(Z)&(?[X1]:((ssList(X1)&app(cons(Z,nil),X1)=Y)&(?[X2]:(ssList(X2)&app(X2,cons(Z,nil))=W))))))))))|(nil!=X&nil=W)))))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', co1)).
% 51.83/52.00 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|(~equalelemsP(W)))|(?[Z]:(ssItem(Z)&(?[X1]:((ssList(X1)&app(cons(Z,nil),X1)=Y)&(?[X2]:(ssList(X2)&app(X2,cons(Z,nil))=W))))))))))|(nil!=X&nil=W))))))))))),inference(assume_negation,[status(cth)],[co1])).
% 51.83/52.00 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|~equalelemsP(W))|(?[Z]:(ssItem(Z)&(?[X1]:((ssList(X1)&app(cons(Z,nil),X1)=Y)&(?[X2]:(ssList(X2)&app(X2,cons(Z,nil))=W))))))))))|(nil!=X&nil=W))))))))))),inference(fof_simplification,[status(thm)],[c23])).
% 51.83/52.00 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&equalelemsP(W))&(![Z]:(~ssItem(Z)|(![X1]:((~ssList(X1)|app(cons(Z,nil),X1)!=Y)|(![X2]:(~ssList(X2)|app(X2,cons(Z,nil))!=W))))))))))&(nil=X|nil!=W)))))))))),inference(fof_nnf,[status(thm)],[c24])).
% 51.83/52.00 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&equalelemsP(W))&(![Z]:(~ssItem(Z)|((![X1]:(~ssList(X1)|app(cons(Z,nil),X1)!=Y))|(![X2]:(~ssList(X2)|app(X2,cons(Z,nil))!=W)))))))))&(nil=X|nil!=W)))))))))),inference(shift_quantors,[status(thm)],[c25])).
% 51.83/52.00 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&equalelemsP(X4))&(![X7]:(~ssItem(X7)|((![X8]:(~ssList(X8)|app(cons(X7,nil),X8)!=X6))|(![X9]:(~ssList(X9)|app(X9,cons(X7,nil))!=X4)))))))))&(nil=X5|nil!=X4)))))))))),inference(variable_rename,[status(thm)],[c26])).
% 51.83/52.00 fof(c29,negated_conjecture,(![X7]:(![X8]:(![X9]:(ssList(skolem0001)&(ssList(skolem0002)&(ssList(skolem0003)&(ssList(skolem0004)&(((((nil=skolem0002&skolem0002=skolem0004)&skolem0001=skolem0003)&nil!=skolem0001)&(ssList(skolem0005)&((app(skolem0003,skolem0005)=skolem0004&equalelemsP(skolem0003))&(~ssItem(X7)|((~ssList(X8)|app(cons(X7,nil),X8)!=skolem0005)|(~ssList(X9)|app(X9,cons(X7,nil))!=skolem0003))))))&(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&equalelemsP(skolem0003))&(![X7]:(~ssItem(X7)|((![X8]:(~ssList(X8)|app(cons(X7,nil),X8)!=skolem0005))|(![X9]:(~ssList(X9)|app(X9,cons(X7,nil))!=skolem0003))))))))&(nil=skolem0004|nil!=skolem0003)))))),inference(skolemize,[status(esa)],[c27])).])).
% 51.83/52.00 cnf(c37,negated_conjecture,nil!=skolem0001,inference(split_conjunct,[status(thm)],[c29])).
% 51.83/52.00 cnf(transitivity,axiom,X258!=X257|X257!=X259|X258=X259,theory(equality)).
% 51.83/52.00 cnf(symmetry,axiom,X256!=X255|X255=X256,theory(equality)).
% 51.83/52.00 cnf(c36,negated_conjecture,skolem0001=skolem0003,inference(split_conjunct,[status(thm)],[c29])).
% 51.83/52.00 cnf(c528,plain,skolem0003=skolem0001,inference(resolution,[status(thm)],[c36, symmetry])).
% 51.83/52.00 cnf(c546,plain,X414!=skolem0003|X414=skolem0001,inference(resolution,[status(thm)],[c528, transitivity])).
% 51.83/52.00 cnf(c32,negated_conjecture,ssList(skolem0003),inference(split_conjunct,[status(thm)],[c29])).
% 51.83/52.00 cnf(c38,negated_conjecture,ssList(skolem0005),inference(split_conjunct,[status(thm)],[c29])).
% 51.83/52.00 fof(ax83,axiom,(![U]:(ssList(U)=>(![V]:(ssList(V)=>(nil=app(U,V)<=>(nil=V&nil=U)))))),file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax', ax83)).
% 51.83/52.00 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])).
% 51.83/52.00 fof(c95,plain,(![X34]:(![X35]:(~ssList(X34)|(~ssList(X35)|((nil!=app(X34,X35)|(nil=X35&nil=X34))&((nil!=X35|nil!=X34)|nil=app(X34,X35))))))),inference(shift_quantors,[status(thm)],[fof(c94,plain,(![X34]:(~ssList(X34)|(![X35]:(~ssList(X35)|((nil!=app(X34,X35)|(nil=X35&nil=X34))&((nil!=X35|nil!=X34)|nil=app(X34,X35))))))),inference(variable_rename,[status(thm)],[c93])).])).
% 51.83/52.00 fof(c96,plain,(![X34]:(![X35]:(((~ssList(X34)|(~ssList(X35)|(nil!=app(X34,X35)|nil=X35)))&(~ssList(X34)|(~ssList(X35)|(nil!=app(X34,X35)|nil=X34))))&(~ssList(X34)|(~ssList(X35)|((nil!=X35|nil!=X34)|nil=app(X34,X35))))))),inference(distribute,[status(thm)],[c95])).
% 51.83/52.00 cnf(c98,plain,~ssList(X396)|~ssList(X397)|nil!=app(X396,X397)|nil=X396,inference(split_conjunct,[status(thm)],[c96])).
% 51.83/52.00 cnf(c39,negated_conjecture,app(skolem0003,skolem0005)=skolem0004,inference(split_conjunct,[status(thm)],[c29])).
% 51.83/52.00 cnf(c34,negated_conjecture,nil=skolem0002,inference(split_conjunct,[status(thm)],[c29])).
% 51.83/52.00 cnf(c35,negated_conjecture,skolem0002=skolem0004,inference(split_conjunct,[status(thm)],[c29])).
% 51.83/52.00 cnf(c523,plain,X392!=skolem0002|X392=skolem0004,inference(resolution,[status(thm)],[c35, transitivity])).
% 51.83/52.00 cnf(c783,plain,nil=skolem0004,inference(resolution,[status(thm)],[c523, c34])).
% 51.83/52.00 cnf(c800,plain,skolem0004=nil,inference(resolution,[status(thm)],[c783, symmetry])).
% 51.83/52.00 cnf(c814,plain,X421!=skolem0004|X421=nil,inference(resolution,[status(thm)],[c800, transitivity])).
% 51.83/52.00 cnf(c1176,plain,app(skolem0003,skolem0005)=nil,inference(resolution,[status(thm)],[c814, c39])).
% 51.83/52.00 cnf(c1341,plain,nil=app(skolem0003,skolem0005),inference(resolution,[status(thm)],[c1176, symmetry])).
% 51.83/52.00 cnf(c1633,plain,~ssList(skolem0003)|~ssList(skolem0005)|nil=skolem0003,inference(resolution,[status(thm)],[c1341, c98])).
% 51.83/52.00 cnf(c83697,plain,~ssList(skolem0003)|nil=skolem0003,inference(resolution,[status(thm)],[c1633, c38])).
% 51.83/52.00 cnf(c88661,plain,nil=skolem0003,inference(resolution,[status(thm)],[c83697, c32])).
% 51.83/52.00 cnf(c88692,plain,nil=skolem0001,inference(resolution,[status(thm)],[c88661, c546])).
% 51.83/52.00 cnf(c89017,plain,$false,inference(resolution,[status(thm)],[c88692, c37])).
% 51.83/52.00 % SZS output end CNFRefutation
% 51.83/52.00
% 51.83/52.00 % Initial clauses : 229
% 51.83/52.00 % Processed clauses : 2472
% 51.83/52.00 % Factors computed : 59
% 51.83/52.00 % Resolvents computed: 88453
% 51.83/52.00 % Tautologies deleted: 23
% 51.83/52.00 % Forward subsumed : 1400
% 51.83/52.00 % Backward subsumed : 186
% 51.83/52.00 % -------- CPU Time ---------
% 51.83/52.00 % User time : 51.451 s
% 51.83/52.00 % System time : 0.188 s
% 51.83/52.00 % Total time : 51.639 s
%------------------------------------------------------------------------------