TSTP Solution File: SWC217+1 by PyRes---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : SWC217+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n023.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 17:43:36 EDT 2024

% Result   : Timeout 287.43s 287.75s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWC217+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.34  % Computer : n023.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % 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 02:20:38 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 287.43/287.75  % Version:  1.5
% 287.43/287.75  % SZS status Theorem
% 287.43/287.75  % SZS output start CNFRefutation
% 287.43/287.75  fof(ax39,axiom,(~singletonP(nil)),file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax', ax39)).
% 287.43/287.75  fof(c255,plain,~singletonP(nil),inference(fof_simplification,[status(thm)],[ax39])).
% 287.43/287.75  cnf(c256,plain,~singletonP(nil),inference(split_conjunct,[status(thm)],[c255])).
% 287.43/287.75  cnf(symmetry,axiom,X252!=X253|X253=X252,theory(equality)).
% 287.43/287.75  fof(co1,conjecture,(![U]:(ssList(U)=>(![V]:(ssList(V)=>(![W]:(ssList(W)=>(![X]:(ssList(X)=>(((((V!=X|U!=W)|(~neq(V,nil)))|neq(U,nil))|(nil!=W&nil=X))|((![Y]:(ssItem(Y)=>(cons(Y,nil)!=W|(~memberP(X,Y)))))&neq(X,nil))))))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', co1)).
% 287.43/287.75  fof(c23,negated_conjecture,(~(![U]:(ssList(U)=>(![V]:(ssList(V)=>(![W]:(ssList(W)=>(![X]:(ssList(X)=>(((((V!=X|U!=W)|(~neq(V,nil)))|neq(U,nil))|(nil!=W&nil=X))|((![Y]:(ssItem(Y)=>(cons(Y,nil)!=W|(~memberP(X,Y)))))&neq(X,nil)))))))))))),inference(assume_negation,[status(cth)],[co1])).
% 287.43/287.75  fof(c24,negated_conjecture,(~(![U]:(ssList(U)=>(![V]:(ssList(V)=>(![W]:(ssList(W)=>(![X]:(ssList(X)=>(((((V!=X|U!=W)|~neq(V,nil))|neq(U,nil))|(nil!=W&nil=X))|((![Y]:(ssItem(Y)=>(cons(Y,nil)!=W|~memberP(X,Y))))&neq(X,nil)))))))))))),inference(fof_simplification,[status(thm)],[c23])).
% 287.43/287.75  fof(c25,negated_conjecture,(?[U]:(ssList(U)&(?[V]:(ssList(V)&(?[W]:(ssList(W)&(?[X]:(ssList(X)&(((((V=X&U=W)&neq(V,nil))&~neq(U,nil))&(nil=W|nil!=X))&((?[Y]:(ssItem(Y)&(cons(Y,nil)=W&memberP(X,Y))))|~neq(X,nil))))))))))),inference(fof_nnf,[status(thm)],[c24])).
% 287.43/287.75  fof(c26,negated_conjecture,(?[X2]:(ssList(X2)&(?[X3]:(ssList(X3)&(?[X4]:(ssList(X4)&(?[X5]:(ssList(X5)&(((((X3=X5&X2=X4)&neq(X3,nil))&~neq(X2,nil))&(nil=X4|nil!=X5))&((?[X6]:(ssItem(X6)&(cons(X6,nil)=X4&memberP(X5,X6))))|~neq(X5,nil))))))))))),inference(variable_rename,[status(thm)],[c25])).
% 287.43/287.75  fof(c27,negated_conjecture,(ssList(skolem0001)&(ssList(skolem0002)&(ssList(skolem0003)&(ssList(skolem0004)&(((((skolem0002=skolem0004&skolem0001=skolem0003)&neq(skolem0002,nil))&~neq(skolem0001,nil))&(nil=skolem0003|nil!=skolem0004))&((ssItem(skolem0005)&(cons(skolem0005,nil)=skolem0003&memberP(skolem0004,skolem0005)))|~neq(skolem0004,nil))))))),inference(skolemize,[status(esa)],[c26])).
% 287.43/287.75  fof(c28,negated_conjecture,(ssList(skolem0001)&(ssList(skolem0002)&(ssList(skolem0003)&(ssList(skolem0004)&(((((skolem0002=skolem0004&skolem0001=skolem0003)&neq(skolem0002,nil))&~neq(skolem0001,nil))&(nil=skolem0003|nil!=skolem0004))&((ssItem(skolem0005)|~neq(skolem0004,nil))&((cons(skolem0005,nil)=skolem0003|~neq(skolem0004,nil))&(memberP(skolem0004,skolem0005)|~neq(skolem0004,nil))))))))),inference(distribute,[status(thm)],[c27])).
% 287.43/287.75  cnf(c34,negated_conjecture,skolem0001=skolem0003,inference(split_conjunct,[status(thm)],[c28])).
% 287.43/287.75  cnf(c520,plain,skolem0003=skolem0001,inference(resolution,[status(thm)],[c34, symmetry])).
% 287.43/287.75  cnf(c8,axiom,X292!=X291|~singletonP(X292)|singletonP(X291),theory(equality)).
% 287.43/287.75  cnf(c581,plain,~singletonP(skolem0003)|singletonP(skolem0001),inference(resolution,[status(thm)],[c8, c520])).
% 287.43/287.75  cnf(c31,negated_conjecture,ssList(skolem0003),inference(split_conjunct,[status(thm)],[c28])).
% 287.43/287.75  cnf(c38,negated_conjecture,ssItem(skolem0005)|~neq(skolem0004,nil),inference(split_conjunct,[status(thm)],[c28])).
% 287.43/287.75  cnf(c33,negated_conjecture,skolem0002=skolem0004,inference(split_conjunct,[status(thm)],[c28])).
% 287.43/287.75  cnf(reflexivity,axiom,X251=X251,theory(equality)).
% 287.43/287.75  cnf(c35,negated_conjecture,neq(skolem0002,nil),inference(split_conjunct,[status(thm)],[c28])).
% 287.43/287.75  cnf(c5,axiom,X280!=X278|X277!=X279|~neq(X280,X277)|neq(X278,X279),theory(equality)).
% 287.43/287.75  cnf(c560,plain,skolem0002!=X745|nil!=X746|neq(X745,X746),inference(resolution,[status(thm)],[c5, c35])).
% 287.43/287.75  cnf(c20025,plain,skolem0002!=X747|neq(X747,nil),inference(resolution,[status(thm)],[c560, reflexivity])).
% 287.43/287.75  cnf(c20028,plain,neq(skolem0004,nil),inference(resolution,[status(thm)],[c20025, c33])).
% 287.43/287.75  cnf(c20033,plain,ssItem(skolem0005),inference(resolution,[status(thm)],[c20028, c38])).
% 287.43/287.75  fof(ax4,axiom,(![U]:(ssList(U)=>(singletonP(U)<=>(?[V]:(ssItem(V)&cons(V,nil)=U))))),file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax', ax4)).
% 287.43/287.75  fof(c482,plain,(![U]:(~ssList(U)|((~singletonP(U)|(?[V]:(ssItem(V)&cons(V,nil)=U)))&((![V]:(~ssItem(V)|cons(V,nil)!=U))|singletonP(U))))),inference(fof_nnf,[status(thm)],[ax4])).
% 287.43/287.75  fof(c483,plain,(![X238]:(~ssList(X238)|((~singletonP(X238)|(?[X239]:(ssItem(X239)&cons(X239,nil)=X238)))&((![X240]:(~ssItem(X240)|cons(X240,nil)!=X238))|singletonP(X238))))),inference(variable_rename,[status(thm)],[c482])).
% 287.43/287.75  fof(c485,plain,(![X238]:(![X240]:(~ssList(X238)|((~singletonP(X238)|(ssItem(skolem0048(X238))&cons(skolem0048(X238),nil)=X238))&((~ssItem(X240)|cons(X240,nil)!=X238)|singletonP(X238)))))),inference(shift_quantors,[status(thm)],[fof(c484,plain,(![X238]:(~ssList(X238)|((~singletonP(X238)|(ssItem(skolem0048(X238))&cons(skolem0048(X238),nil)=X238))&((![X240]:(~ssItem(X240)|cons(X240,nil)!=X238))|singletonP(X238))))),inference(skolemize,[status(esa)],[c483])).])).
% 287.43/287.75  fof(c486,plain,(![X238]:(![X240]:(((~ssList(X238)|(~singletonP(X238)|ssItem(skolem0048(X238))))&(~ssList(X238)|(~singletonP(X238)|cons(skolem0048(X238),nil)=X238)))&(~ssList(X238)|((~ssItem(X240)|cons(X240,nil)!=X238)|singletonP(X238)))))),inference(distribute,[status(thm)],[c485])).
% 287.43/287.75  cnf(c489,plain,~ssList(X683)|~ssItem(X682)|cons(X682,nil)!=X683|singletonP(X683),inference(split_conjunct,[status(thm)],[c486])).
% 287.43/287.75  cnf(c39,negated_conjecture,cons(skolem0005,nil)=skolem0003|~neq(skolem0004,nil),inference(split_conjunct,[status(thm)],[c28])).
% 287.43/287.75  cnf(c20032,plain,cons(skolem0005,nil)=skolem0003,inference(resolution,[status(thm)],[c20028, c39])).
% 287.43/287.75  cnf(c20164,plain,~ssList(skolem0003)|~ssItem(skolem0005)|singletonP(skolem0003),inference(resolution,[status(thm)],[c20032, c489])).
% 287.43/287.75  cnf(c81721,plain,~ssList(skolem0003)|singletonP(skolem0003),inference(resolution,[status(thm)],[c20164, c20033])).
% 287.43/287.75  cnf(c81722,plain,singletonP(skolem0003),inference(resolution,[status(thm)],[c81721, c31])).
% 287.43/287.75  cnf(c81723,plain,singletonP(skolem0001),inference(resolution,[status(thm)],[c81722, c581])).
% 287.43/287.75  cnf(c36,negated_conjecture,~neq(skolem0001,nil),inference(split_conjunct,[status(thm)],[c28])).
% 287.43/287.75  cnf(c29,negated_conjecture,ssList(skolem0001),inference(split_conjunct,[status(thm)],[c28])).
% 287.43/287.75  fof(ax17,axiom,ssList(nil),file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax', ax17)).
% 287.43/287.75  cnf(c353,plain,ssList(nil),inference(split_conjunct,[status(thm)],[ax17])).
% 287.43/287.75  fof(ax15,axiom,(![U]:(ssList(U)=>(![V]:(ssList(V)=>(neq(U,V)<=>U!=V))))),file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax', ax15)).
% 287.43/287.75  fof(c358,plain,(![U]:(~ssList(U)|(![V]:(~ssList(V)|((~neq(U,V)|U!=V)&(U=V|neq(U,V))))))),inference(fof_nnf,[status(thm)],[ax15])).
% 287.43/287.75  fof(c360,plain,(![X147]:(![X148]:(~ssList(X147)|(~ssList(X148)|((~neq(X147,X148)|X147!=X148)&(X147=X148|neq(X147,X148))))))),inference(shift_quantors,[status(thm)],[fof(c359,plain,(![X147]:(~ssList(X147)|(![X148]:(~ssList(X148)|((~neq(X147,X148)|X147!=X148)&(X147=X148|neq(X147,X148))))))),inference(variable_rename,[status(thm)],[c358])).])).
% 287.43/287.75  fof(c361,plain,(![X147]:(![X148]:((~ssList(X147)|(~ssList(X148)|(~neq(X147,X148)|X147!=X148)))&(~ssList(X147)|(~ssList(X148)|(X147=X148|neq(X147,X148))))))),inference(distribute,[status(thm)],[c360])).
% 287.43/287.75  cnf(c363,plain,~ssList(X574)|~ssList(X573)|X574=X573|neq(X574,X573),inference(split_conjunct,[status(thm)],[c361])).
% 287.43/287.75  cnf(c7383,plain,~ssList(X1291)|X1291=nil|neq(X1291,nil),inference(resolution,[status(thm)],[c363, c353])).
% 287.43/287.75  cnf(c246141,plain,skolem0001=nil|neq(skolem0001,nil),inference(resolution,[status(thm)],[c7383, c29])).
% 287.43/287.75  cnf(c247014,plain,skolem0001=nil,inference(resolution,[status(thm)],[c246141, c36])).
% 287.43/287.75  cnf(c247147,plain,~singletonP(skolem0001)|singletonP(nil),inference(resolution,[status(thm)],[c247014, c8])).
% 287.43/287.75  cnf(c247798,plain,singletonP(nil),inference(resolution,[status(thm)],[c247147, c81723])).
% 287.43/287.75  cnf(c247800,plain,$false,inference(resolution,[status(thm)],[c247798, c256])).
% 287.43/287.75  % SZS output end CNFRefutation
% 287.43/287.75  
% 287.43/287.75  % Initial clauses    : 228
% 287.43/287.75  % Processed clauses  : 4368
% 287.43/287.75  % Factors computed   : 82
% 287.43/287.75  % Resolvents computed: 247210
% 287.43/287.75  % Tautologies deleted: 23
% 287.43/287.75  % Forward subsumed   : 2853
% 287.43/287.75  % Backward subsumed  : 952
% 287.43/287.75  % -------- CPU Time ---------
% 287.43/287.75  % User time          : 286.555 s
% 287.43/287.75  % System time        : 0.723 s
% 287.43/287.75  % Total time         : 287.278 s
%------------------------------------------------------------------------------