TSTP Solution File: SWC217+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SWC217+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n014.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 21:48:27 EDT 2022
% Result : Theorem 256.98s 257.24s
% Output : Refutation 256.98s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWC217+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.33 % Computer : n014.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jun 11 23:25:08 EDT 2022
% 0.13/0.33 % CPUTime :
% 256.98/257.24 # Version: 1.3
% 256.98/257.24 # SZS status Theorem
% 256.98/257.24 # SZS output start CNFRefutation
% 256.98/257.24 fof(ax39,axiom,(~singletonP(nil)),input).
% 256.98/257.24 fof(c255,axiom,~singletonP(nil),inference(fof_simplification,status(thm),[ax39])).
% 256.98/257.24 cnf(c256,axiom,~singletonP(nil),inference(split_conjunct,status(thm),[c255])).
% 256.98/257.24 cnf(symmetry,axiom,X253!=X252|X252=X253,eq_axiom).
% 256.98/257.24 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))))))))))),input).
% 256.98/257.24 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])).
% 256.98/257.24 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])).
% 256.98/257.24 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])).
% 256.98/257.24 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])).
% 256.98/257.24 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])).
% 256.98/257.24 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])).
% 256.98/257.24 cnf(c34,negated_conjecture,skolem0001=skolem0003,inference(split_conjunct,status(thm),[c28])).
% 256.98/257.24 cnf(c516,plain,skolem0003=skolem0001,inference(resolution,status(thm),[c34, symmetry])).
% 256.98/257.24 cnf(c8,plain,X291!=X292|~singletonP(X291)|singletonP(X292),eq_axiom).
% 256.98/257.24 cnf(c577,plain,~singletonP(skolem0003)|singletonP(skolem0001),inference(resolution,status(thm),[c8, c516])).
% 256.98/257.24 cnf(c31,negated_conjecture,ssList(skolem0003),inference(split_conjunct,status(thm),[c28])).
% 256.98/257.24 cnf(c38,negated_conjecture,ssItem(skolem0005)|~neq(skolem0004,nil),inference(split_conjunct,status(thm),[c28])).
% 256.98/257.24 cnf(c33,negated_conjecture,skolem0002=skolem0004,inference(split_conjunct,status(thm),[c28])).
% 256.98/257.24 cnf(reflexivity,axiom,X251=X251,eq_axiom).
% 256.98/257.24 cnf(c35,negated_conjecture,neq(skolem0002,nil),inference(split_conjunct,status(thm),[c28])).
% 256.98/257.24 cnf(c5,plain,X277!=X279|X280!=X278|~neq(X277,X280)|neq(X279,X278),eq_axiom).
% 256.98/257.24 cnf(c557,plain,skolem0002!=X721|nil!=X722|neq(X721,X722),inference(resolution,status(thm),[c5, c35])).
% 256.98/257.24 cnf(c19705,plain,skolem0002!=X723|neq(X723,nil),inference(resolution,status(thm),[c557, reflexivity])).
% 256.98/257.24 cnf(c19711,plain,neq(skolem0004,nil),inference(resolution,status(thm),[c19705, c33])).
% 256.98/257.24 cnf(c19713,plain,ssItem(skolem0005),inference(resolution,status(thm),[c19711, c38])).
% 256.98/257.24 fof(ax4,axiom,(![U]:(ssList(U)=>(singletonP(U)<=>(?[V]:(ssItem(V)&cons(V,nil)=U))))),input).
% 256.98/257.24 fof(c482,axiom,(![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])).
% 256.98/257.24 fof(c483,axiom,(![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])).
% 256.98/257.24 fof(c485,axiom,(![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,axiom,(![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])).])).
% 256.98/257.24 fof(c486,axiom,(![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])).
% 256.98/257.24 cnf(c489,axiom,~ssList(X678)|~ssItem(X679)|cons(X679,nil)!=X678|singletonP(X678),inference(split_conjunct,status(thm),[c486])).
% 256.98/257.24 cnf(c39,negated_conjecture,cons(skolem0005,nil)=skolem0003|~neq(skolem0004,nil),inference(split_conjunct,status(thm),[c28])).
% 256.98/257.24 cnf(c19714,plain,cons(skolem0005,nil)=skolem0003,inference(resolution,status(thm),[c19711, c39])).
% 256.98/257.24 cnf(c19790,plain,~ssList(skolem0003)|~ssItem(skolem0005)|singletonP(skolem0003),inference(resolution,status(thm),[c19714, c489])).
% 256.98/257.24 cnf(c79268,plain,~ssList(skolem0003)|singletonP(skolem0003),inference(resolution,status(thm),[c19790, c19713])).
% 256.98/257.24 cnf(c79269,plain,singletonP(skolem0003),inference(resolution,status(thm),[c79268, c31])).
% 256.98/257.24 cnf(c79276,plain,singletonP(skolem0001),inference(resolution,status(thm),[c79269, c577])).
% 256.98/257.24 cnf(c36,negated_conjecture,~neq(skolem0001,nil),inference(split_conjunct,status(thm),[c28])).
% 256.98/257.24 cnf(c29,negated_conjecture,ssList(skolem0001),inference(split_conjunct,status(thm),[c28])).
% 256.98/257.24 fof(ax17,axiom,ssList(nil),input).
% 256.98/257.24 cnf(c353,axiom,ssList(nil),inference(split_conjunct,status(thm),[ax17])).
% 256.98/257.24 fof(ax15,axiom,(![U]:(ssList(U)=>(![V]:(ssList(V)=>(neq(U,V)<=>U!=V))))),input).
% 256.98/257.24 fof(c358,axiom,(![U]:(~ssList(U)|(![V]:(~ssList(V)|((~neq(U,V)|U!=V)&(U=V|neq(U,V))))))),inference(fof_nnf,status(thm),[ax15])).
% 256.98/257.24 fof(c360,axiom,(![X147]:(![X148]:(~ssList(X147)|(~ssList(X148)|((~neq(X147,X148)|X147!=X148)&(X147=X148|neq(X147,X148))))))),inference(shift_quantors,status(thm),[fof(c359,axiom,(![X147]:(~ssList(X147)|(![X148]:(~ssList(X148)|((~neq(X147,X148)|X147!=X148)&(X147=X148|neq(X147,X148))))))),inference(variable_rename,status(thm),[c358])).])).
% 256.98/257.24 fof(c361,axiom,(![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])).
% 256.98/257.24 cnf(c363,axiom,~ssList(X569)|~ssList(X570)|X569=X570|neq(X569,X570),inference(split_conjunct,status(thm),[c361])).
% 256.98/257.24 cnf(c7283,plain,~ssList(X1220)|X1220=nil|neq(X1220,nil),inference(resolution,status(thm),[c363, c353])).
% 256.98/257.24 cnf(c231391,plain,skolem0001=nil|neq(skolem0001,nil),inference(resolution,status(thm),[c7283, c29])).
% 256.98/257.24 cnf(c231695,plain,skolem0001=nil,inference(resolution,status(thm),[c231391, c36])).
% 256.98/257.24 cnf(c231714,plain,~singletonP(skolem0001)|singletonP(nil),inference(resolution,status(thm),[c231695, c8])).
% 256.98/257.24 cnf(c232287,plain,singletonP(nil),inference(resolution,status(thm),[c231714, c79276])).
% 256.98/257.24 cnf(c232289,plain,$false,inference(resolution,status(thm),[c232287, c256])).
% 256.98/257.24 # SZS output end CNFRefutation
% 256.98/257.24
% 256.98/257.24 # Initial clauses : 228
% 256.98/257.24 # Processed clauses : 4314
% 256.98/257.24 # Factors computed : 1
% 256.98/257.24 # Resolvents computed: 231780
% 256.98/257.24 # Tautologies deleted: 15
% 256.98/257.24 # Forward subsumed : 2464
% 256.98/257.24 # Backward subsumed : 965
% 256.98/257.24 # -------- CPU Time ---------
% 256.98/257.24 # User time : 256.373 s
% 256.98/257.24 # System time : 0.480 s
% 256.98/257.24 # Total time : 256.853 s
%------------------------------------------------------------------------------