TSTP Solution File: SET767+4 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SET767+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n003.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 04:40:03 EDT 2022
% Result : Theorem 2.45s 2.61s
% Output : Refutation 2.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET767+4 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34 % Computer : n003.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jul 9 17:46:43 EDT 2022
% 0.12/0.34 % CPUTime :
% 2.45/2.61 # Version: 1.3
% 2.45/2.61 # SZS status Theorem
% 2.45/2.61 # SZS output start CNFRefutation
% 2.45/2.61 fof(thIII03,conjecture,(![E]:(![R]:(![A]:(equivalence(R,E)=>subset(equivalence_class(A,E,R),E))))),input).
% 2.45/2.61 fof(c17,negated_conjecture,(~(![E]:(![R]:(![A]:(equivalence(R,E)=>subset(equivalence_class(A,E,R),E)))))),inference(assume_negation,status(cth),[thIII03])).
% 2.45/2.61 fof(c18,negated_conjecture,(?[E]:(?[R]:(?[A]:(equivalence(R,E)&~subset(equivalence_class(A,E,R),E))))),inference(fof_nnf,status(thm),[c17])).
% 2.45/2.61 fof(c19,negated_conjecture,(?[E]:(?[R]:(equivalence(R,E)&(?[A]:~subset(equivalence_class(A,E,R),E))))),inference(shift_quantors,status(thm),[c18])).
% 2.45/2.61 fof(c20,negated_conjecture,(?[X2]:(?[X3]:(equivalence(X3,X2)&(?[X4]:~subset(equivalence_class(X4,X2,X3),X2))))),inference(variable_rename,status(thm),[c19])).
% 2.45/2.61 fof(c21,negated_conjecture,(equivalence(skolem0002,skolem0001)&~subset(equivalence_class(skolem0003,skolem0001,skolem0002),skolem0001)),inference(skolemize,status(esa),[c20])).
% 2.45/2.61 cnf(c23,negated_conjecture,~subset(equivalence_class(skolem0003,skolem0001,skolem0002),skolem0001),inference(split_conjunct,status(thm),[c21])).
% 2.45/2.61 fof(subset,axiom,(![A]:(![B]:(subset(A,B)<=>(![X]:(member(X,A)=>member(X,B)))))),input).
% 2.45/2.61 fof(c222,axiom,(![A]:(![B]:((~subset(A,B)|(![X]:(~member(X,A)|member(X,B))))&((?[X]:(member(X,A)&~member(X,B)))|subset(A,B))))),inference(fof_nnf,status(thm),[subset])).
% 2.45/2.61 fof(c223,axiom,((![A]:(![B]:(~subset(A,B)|(![X]:(~member(X,A)|member(X,B))))))&(![A]:(![B]:((?[X]:(member(X,A)&~member(X,B)))|subset(A,B))))),inference(shift_quantors,status(thm),[c222])).
% 2.45/2.61 fof(c224,axiom,((![X112]:(![X113]:(~subset(X112,X113)|(![X114]:(~member(X114,X112)|member(X114,X113))))))&(![X115]:(![X116]:((?[X117]:(member(X117,X115)&~member(X117,X116)))|subset(X115,X116))))),inference(variable_rename,status(thm),[c223])).
% 2.45/2.61 fof(c226,axiom,(![X112]:(![X113]:(![X114]:(![X115]:(![X116]:((~subset(X112,X113)|(~member(X114,X112)|member(X114,X113)))&((member(skolem0023(X115,X116),X115)&~member(skolem0023(X115,X116),X116))|subset(X115,X116)))))))),inference(shift_quantors,status(thm),[fof(c225,axiom,((![X112]:(![X113]:(~subset(X112,X113)|(![X114]:(~member(X114,X112)|member(X114,X113))))))&(![X115]:(![X116]:((member(skolem0023(X115,X116),X115)&~member(skolem0023(X115,X116),X116))|subset(X115,X116))))),inference(skolemize,status(esa),[c224])).])).
% 2.45/2.61 fof(c227,axiom,(![X112]:(![X113]:(![X114]:(![X115]:(![X116]:((~subset(X112,X113)|(~member(X114,X112)|member(X114,X113)))&((member(skolem0023(X115,X116),X115)|subset(X115,X116))&(~member(skolem0023(X115,X116),X116)|subset(X115,X116))))))))),inference(distribute,status(thm),[c226])).
% 2.45/2.61 cnf(c230,axiom,~member(skolem0023(X226,X227),X227)|subset(X226,X227),inference(split_conjunct,status(thm),[c227])).
% 2.45/2.61 cnf(c229,axiom,member(skolem0023(X214,X215),X214)|subset(X214,X215),inference(split_conjunct,status(thm),[c227])).
% 2.45/2.61 fof(equivalence_class,axiom,(![R]:(![E]:(![A]:(![X]:(member(X,equivalence_class(A,E,R))<=>(member(X,E)&apply(R,A,X))))))),input).
% 2.45/2.61 fof(c44,axiom,(![R]:(![E]:(![A]:(![X]:((~member(X,equivalence_class(A,E,R))|(member(X,E)&apply(R,A,X)))&((~member(X,E)|~apply(R,A,X))|member(X,equivalence_class(A,E,R)))))))),inference(fof_nnf,status(thm),[equivalence_class])).
% 2.45/2.61 fof(c45,axiom,((![R]:(![E]:(![A]:(![X]:(~member(X,equivalence_class(A,E,R))|(member(X,E)&apply(R,A,X)))))))&(![R]:(![E]:(![A]:(![X]:((~member(X,E)|~apply(R,A,X))|member(X,equivalence_class(A,E,R)))))))),inference(shift_quantors,status(thm),[c44])).
% 2.45/2.61 fof(c47,axiom,(![X17]:(![X18]:(![X19]:(![X20]:(![X21]:(![X22]:(![X23]:(![X24]:((~member(X20,equivalence_class(X19,X18,X17))|(member(X20,X18)&apply(X17,X19,X20)))&((~member(X24,X22)|~apply(X21,X23,X24))|member(X24,equivalence_class(X23,X22,X21)))))))))))),inference(shift_quantors,status(thm),[fof(c46,axiom,((![X17]:(![X18]:(![X19]:(![X20]:(~member(X20,equivalence_class(X19,X18,X17))|(member(X20,X18)&apply(X17,X19,X20)))))))&(![X21]:(![X22]:(![X23]:(![X24]:((~member(X24,X22)|~apply(X21,X23,X24))|member(X24,equivalence_class(X23,X22,X21)))))))),inference(variable_rename,status(thm),[c45])).])).
% 2.45/2.61 fof(c48,axiom,(![X17]:(![X18]:(![X19]:(![X20]:(![X21]:(![X22]:(![X23]:(![X24]:(((~member(X20,equivalence_class(X19,X18,X17))|member(X20,X18))&(~member(X20,equivalence_class(X19,X18,X17))|apply(X17,X19,X20)))&((~member(X24,X22)|~apply(X21,X23,X24))|member(X24,equivalence_class(X23,X22,X21)))))))))))),inference(distribute,status(thm),[c47])).
% 2.45/2.61 cnf(c49,axiom,~member(X246,equivalence_class(X244,X247,X245))|member(X246,X247),inference(split_conjunct,status(thm),[c48])).
% 2.45/2.61 cnf(c311,plain,member(skolem0023(equivalence_class(X1742,X1743,X1744),X1741),X1743)|subset(equivalence_class(X1742,X1743,X1744),X1741),inference(resolution,status(thm),[c49, c229])).
% 2.45/2.61 cnf(c6785,plain,subset(equivalence_class(X1746,X1745,X1747),X1745),inference(resolution,status(thm),[c311, c230])).
% 2.45/2.61 cnf(c6800,plain,$false,inference(resolution,status(thm),[c6785, c23])).
% 2.45/2.61 # SZS output end CNFRefutation
% 2.45/2.61
% 2.45/2.61 # Initial clauses : 146
% 2.45/2.61 # Processed clauses : 412
% 2.45/2.61 # Factors computed : 0
% 2.45/2.61 # Resolvents computed: 6572
% 2.45/2.61 # Tautologies deleted: 1
% 2.45/2.61 # Forward subsumed : 440
% 2.45/2.61 # Backward subsumed : 3
% 2.45/2.61 # -------- CPU Time ---------
% 2.45/2.61 # User time : 2.235 s
% 2.45/2.61 # System time : 0.030 s
% 2.45/2.61 # Total time : 2.265 s
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