TSTP Solution File: SWC254+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SWC254+1 : TPTP v8.1.0. 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 : 600s
% DateTime : Tue Jul 19 21:48:37 EDT 2022
% Result : Theorem 45.53s 45.80s
% Output : Refutation 45.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC254+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jun 12 06:40:36 EDT 2022
% 0.12/0.33 % CPUTime :
% 45.53/45.80 # Version: 1.3
% 45.53/45.80 # SZS status Theorem
% 45.53/45.80 # SZS output start CNFRefutation
% 45.53/45.80 fof(co1,conjecture,(![U]:(ssList(U)=>(![V]:(ssList(V)=>(![W]:(ssList(W)=>(![X]:(ssList(X)=>((V!=X|U!=W)|((((~neq(V,nil))|(![Y]:(ssItem(Y)=>(![Z]:(ssList(Z)=>(cons(Y,nil)!=W|app(Z,cons(Y,nil))!=X))))))|singletonP(U))&((~neq(V,nil))|neq(X,nil)))))))))))),input).
% 45.53/45.80 fof(c23,negated_conjecture,(~(![U]:(ssList(U)=>(![V]:(ssList(V)=>(![W]:(ssList(W)=>(![X]:(ssList(X)=>((V!=X|U!=W)|((((~neq(V,nil))|(![Y]:(ssItem(Y)=>(![Z]:(ssList(Z)=>(cons(Y,nil)!=W|app(Z,cons(Y,nil))!=X))))))|singletonP(U))&((~neq(V,nil))|neq(X,nil))))))))))))),inference(assume_negation,status(cth),[co1])).
% 45.53/45.80 fof(c24,negated_conjecture,(~(![U]:(ssList(U)=>(![V]:(ssList(V)=>(![W]:(ssList(W)=>(![X]:(ssList(X)=>((V!=X|U!=W)|(((~neq(V,nil)|(![Y]:(ssItem(Y)=>(![Z]:(ssList(Z)=>(cons(Y,nil)!=W|app(Z,cons(Y,nil))!=X))))))|singletonP(U))&(~neq(V,nil)|neq(X,nil))))))))))))),inference(fof_simplification,status(thm),[c23])).
% 45.53/45.80 fof(c25,negated_conjecture,(?[U]:(ssList(U)&(?[V]:(ssList(V)&(?[W]:(ssList(W)&(?[X]:(ssList(X)&((V=X&U=W)&(((neq(V,nil)&(?[Y]:(ssItem(Y)&(?[Z]:(ssList(Z)&(cons(Y,nil)=W&app(Z,cons(Y,nil))=X))))))&~singletonP(U))|(neq(V,nil)&~neq(X,nil)))))))))))),inference(fof_nnf,status(thm),[c24])).
% 45.53/45.80 fof(c26,negated_conjecture,(?[X2]:(ssList(X2)&(?[X3]:(ssList(X3)&(?[X4]:(ssList(X4)&(?[X5]:(ssList(X5)&((X3=X5&X2=X4)&(((neq(X3,nil)&(?[X6]:(ssItem(X6)&(?[X7]:(ssList(X7)&(cons(X6,nil)=X4&app(X7,cons(X6,nil))=X5))))))&~singletonP(X2))|(neq(X3,nil)&~neq(X5,nil)))))))))))),inference(variable_rename,status(thm),[c25])).
% 45.53/45.80 fof(c27,negated_conjecture,(ssList(skolem0001)&(ssList(skolem0002)&(ssList(skolem0003)&(ssList(skolem0004)&((skolem0002=skolem0004&skolem0001=skolem0003)&(((neq(skolem0002,nil)&(ssItem(skolem0005)&(ssList(skolem0006)&(cons(skolem0005,nil)=skolem0003&app(skolem0006,cons(skolem0005,nil))=skolem0004))))&~singletonP(skolem0001))|(neq(skolem0002,nil)&~neq(skolem0004,nil)))))))),inference(skolemize,status(esa),[c26])).
% 45.53/45.80 fof(c28,negated_conjecture,(ssList(skolem0001)&(ssList(skolem0002)&(ssList(skolem0003)&(ssList(skolem0004)&((skolem0002=skolem0004&skolem0001=skolem0003)&((((neq(skolem0002,nil)|neq(skolem0002,nil))&(neq(skolem0002,nil)|~neq(skolem0004,nil)))&(((ssItem(skolem0005)|neq(skolem0002,nil))&(ssItem(skolem0005)|~neq(skolem0004,nil)))&(((ssList(skolem0006)|neq(skolem0002,nil))&(ssList(skolem0006)|~neq(skolem0004,nil)))&(((cons(skolem0005,nil)=skolem0003|neq(skolem0002,nil))&(cons(skolem0005,nil)=skolem0003|~neq(skolem0004,nil)))&((app(skolem0006,cons(skolem0005,nil))=skolem0004|neq(skolem0002,nil))&(app(skolem0006,cons(skolem0005,nil))=skolem0004|~neq(skolem0004,nil)))))))&((~singletonP(skolem0001)|neq(skolem0002,nil))&(~singletonP(skolem0001)|~neq(skolem0004,nil))))))))),inference(distribute,status(thm),[c27])).
% 45.53/45.80 cnf(c46,negated_conjecture,~singletonP(skolem0001)|~neq(skolem0004,nil),inference(split_conjunct,status(thm),[c28])).
% 45.53/45.80 cnf(c33,negated_conjecture,skolem0002=skolem0004,inference(split_conjunct,status(thm),[c28])).
% 45.53/45.80 cnf(reflexivity,axiom,X252=X252,eq_axiom).
% 45.53/45.80 cnf(c5,plain,X279!=X278|X277!=X280|~neq(X279,X277)|neq(X278,X280),eq_axiom).
% 45.53/45.80 cnf(c35,negated_conjecture,neq(skolem0002,nil)|neq(skolem0002,nil),inference(split_conjunct,status(thm),[c28])).
% 45.53/45.80 cnf(c674,plain,neq(skolem0002,nil),inference(factor,status(thm),[c35])).
% 45.53/45.80 cnf(c677,plain,skolem0002!=X826|nil!=X827|neq(X826,X827),inference(resolution,status(thm),[c674, c5])).
% 45.53/45.80 cnf(c20313,plain,skolem0002!=X850|neq(X850,nil),inference(resolution,status(thm),[c677, reflexivity])).
% 45.53/45.80 cnf(c20921,plain,neq(skolem0004,nil),inference(resolution,status(thm),[c20313, c33])).
% 45.53/45.80 cnf(c20925,plain,~singletonP(skolem0001),inference(resolution,status(thm),[c20921, c46])).
% 45.53/45.80 cnf(symmetry,axiom,X254!=X253|X253=X254,eq_axiom).
% 45.53/45.80 cnf(c34,negated_conjecture,skolem0001=skolem0003,inference(split_conjunct,status(thm),[c28])).
% 45.53/45.80 cnf(c522,plain,skolem0003=skolem0001,inference(resolution,status(thm),[c34, symmetry])).
% 45.53/45.80 cnf(c8,plain,X293!=X292|~singletonP(X293)|singletonP(X292),eq_axiom).
% 45.53/45.80 cnf(c582,plain,~singletonP(skolem0003)|singletonP(skolem0001),inference(resolution,status(thm),[c8, c522])).
% 45.53/45.80 cnf(c31,negated_conjecture,ssList(skolem0003),inference(split_conjunct,status(thm),[c28])).
% 45.53/45.80 cnf(c38,negated_conjecture,ssItem(skolem0005)|~neq(skolem0004,nil),inference(split_conjunct,status(thm),[c28])).
% 45.53/45.80 cnf(c20927,plain,ssItem(skolem0005),inference(resolution,status(thm),[c20921, c38])).
% 45.53/45.80 fof(ax4,axiom,(![U]:(ssList(U)=>(singletonP(U)<=>(?[V]:(ssItem(V)&cons(V,nil)=U))))),input).
% 45.53/45.80 fof(c488,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])).
% 45.53/45.80 fof(c489,axiom,(![X239]:(~ssList(X239)|((~singletonP(X239)|(?[X240]:(ssItem(X240)&cons(X240,nil)=X239)))&((![X241]:(~ssItem(X241)|cons(X241,nil)!=X239))|singletonP(X239))))),inference(variable_rename,status(thm),[c488])).
% 45.53/45.80 fof(c491,axiom,(![X239]:(![X241]:(~ssList(X239)|((~singletonP(X239)|(ssItem(skolem0049(X239))&cons(skolem0049(X239),nil)=X239))&((~ssItem(X241)|cons(X241,nil)!=X239)|singletonP(X239)))))),inference(shift_quantors,status(thm),[fof(c490,axiom,(![X239]:(~ssList(X239)|((~singletonP(X239)|(ssItem(skolem0049(X239))&cons(skolem0049(X239),nil)=X239))&((![X241]:(~ssItem(X241)|cons(X241,nil)!=X239))|singletonP(X239))))),inference(skolemize,status(esa),[c489])).])).
% 45.53/45.80 fof(c492,axiom,(![X239]:(![X241]:(((~ssList(X239)|(~singletonP(X239)|ssItem(skolem0049(X239))))&(~ssList(X239)|(~singletonP(X239)|cons(skolem0049(X239),nil)=X239)))&(~ssList(X239)|((~ssItem(X241)|cons(X241,nil)!=X239)|singletonP(X239)))))),inference(distribute,status(thm),[c491])).
% 45.53/45.80 cnf(c495,axiom,~ssList(X680)|~ssItem(X679)|cons(X679,nil)!=X680|singletonP(X680),inference(split_conjunct,status(thm),[c492])).
% 45.53/45.80 cnf(c42,negated_conjecture,cons(skolem0005,nil)=skolem0003|~neq(skolem0004,nil),inference(split_conjunct,status(thm),[c28])).
% 45.53/45.80 cnf(c20928,plain,cons(skolem0005,nil)=skolem0003,inference(resolution,status(thm),[c20921, c42])).
% 45.53/45.80 cnf(c21891,plain,~ssList(skolem0003)|~ssItem(skolem0005)|singletonP(skolem0003),inference(resolution,status(thm),[c20928, c495])).
% 45.53/45.80 cnf(c89946,plain,~ssList(skolem0003)|singletonP(skolem0003),inference(resolution,status(thm),[c21891, c20927])).
% 45.53/45.80 cnf(c89947,plain,singletonP(skolem0003),inference(resolution,status(thm),[c89946, c31])).
% 45.53/45.80 cnf(c89949,plain,singletonP(skolem0001),inference(resolution,status(thm),[c89947, c582])).
% 45.53/45.80 cnf(c89957,plain,$false,inference(resolution,status(thm),[c89949, c20925])).
% 45.53/45.80 # SZS output end CNFRefutation
% 45.53/45.80
% 45.53/45.80 # Initial clauses : 234
% 45.53/45.80 # Processed clauses : 2710
% 45.53/45.80 # Factors computed : 2
% 45.53/45.80 # Resolvents computed: 89445
% 45.53/45.80 # Tautologies deleted: 15
% 45.53/45.80 # Forward subsumed : 617
% 45.53/45.80 # Backward subsumed : 53
% 45.53/45.80 # -------- CPU Time ---------
% 45.53/45.80 # User time : 45.253 s
% 45.53/45.80 # System time : 0.185 s
% 45.53/45.80 # Total time : 45.438 s
%------------------------------------------------------------------------------