TSTP Solution File: SET162+3 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SET162+3 : TPTP v8.1.0. Released v2.2.0.
% 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 04:36:16 EDT 2022
% Result : Theorem 267.27s 267.57s
% Output : Refutation 267.27s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET162+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.33 % Computer : n023.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 600
% 0.14/0.33 % DateTime : Mon Jul 11 03:07:10 EDT 2022
% 0.14/0.33 % CPUTime :
% 267.27/267.57 # Version: 1.3
% 267.27/267.57 # SZS status Theorem
% 267.27/267.57 # SZS output start CNFRefutation
% 267.27/267.57 fof(prove_union_empty_set,conjecture,(![B]:union(B,empty_set)=B),input).
% 267.27/267.57 fof(c4,negated_conjecture,(~(![B]:union(B,empty_set)=B)),inference(assume_negation,status(cth),[prove_union_empty_set])).
% 267.27/267.57 fof(c5,negated_conjecture,(?[B]:union(B,empty_set)!=B),inference(fof_nnf,status(thm),[c4])).
% 267.27/267.57 fof(c6,negated_conjecture,(?[X2]:union(X2,empty_set)!=X2),inference(variable_rename,status(thm),[c5])).
% 267.27/267.57 fof(c7,negated_conjecture,union(skolem0001,empty_set)!=skolem0001,inference(skolemize,status(esa),[c6])).
% 267.27/267.57 cnf(c8,negated_conjecture,union(skolem0001,empty_set)!=skolem0001,inference(split_conjunct,status(thm),[c7])).
% 267.27/267.57 fof(equal_defn,axiom,(![B]:(![C]:(B=C<=>(subset(B,C)&subset(C,B))))),input).
% 267.27/267.57 fof(c40,axiom,(![B]:(![C]:((B!=C|(subset(B,C)&subset(C,B)))&((~subset(B,C)|~subset(C,B))|B=C)))),inference(fof_nnf,status(thm),[equal_defn])).
% 267.27/267.57 fof(c41,axiom,((![B]:(![C]:(B!=C|(subset(B,C)&subset(C,B)))))&(![B]:(![C]:((~subset(B,C)|~subset(C,B))|B=C)))),inference(shift_quantors,status(thm),[c40])).
% 267.27/267.57 fof(c43,axiom,(![X23]:(![X24]:(![X25]:(![X26]:((X23!=X24|(subset(X23,X24)&subset(X24,X23)))&((~subset(X25,X26)|~subset(X26,X25))|X25=X26)))))),inference(shift_quantors,status(thm),[fof(c42,axiom,((![X23]:(![X24]:(X23!=X24|(subset(X23,X24)&subset(X24,X23)))))&(![X25]:(![X26]:((~subset(X25,X26)|~subset(X26,X25))|X25=X26)))),inference(variable_rename,status(thm),[c41])).])).
% 267.27/267.57 fof(c44,axiom,(![X23]:(![X24]:(![X25]:(![X26]:(((X23!=X24|subset(X23,X24))&(X23!=X24|subset(X24,X23)))&((~subset(X25,X26)|~subset(X26,X25))|X25=X26)))))),inference(distribute,status(thm),[c43])).
% 267.27/267.57 cnf(c47,axiom,~subset(X107,X108)|~subset(X108,X107)|X107=X108,inference(split_conjunct,status(thm),[c44])).
% 267.27/267.57 fof(subset_defn,axiom,(![B]:(![C]:(subset(B,C)<=>(![D]:(member(D,B)=>member(D,C)))))),input).
% 267.27/267.57 fof(c29,axiom,(![B]:(![C]:((~subset(B,C)|(![D]:(~member(D,B)|member(D,C))))&((?[D]:(member(D,B)&~member(D,C)))|subset(B,C))))),inference(fof_nnf,status(thm),[subset_defn])).
% 267.27/267.57 fof(c30,axiom,((![B]:(![C]:(~subset(B,C)|(![D]:(~member(D,B)|member(D,C))))))&(![B]:(![C]:((?[D]:(member(D,B)&~member(D,C)))|subset(B,C))))),inference(shift_quantors,status(thm),[c29])).
% 267.27/267.57 fof(c31,axiom,((![X15]:(![X16]:(~subset(X15,X16)|(![X17]:(~member(X17,X15)|member(X17,X16))))))&(![X18]:(![X19]:((?[X20]:(member(X20,X18)&~member(X20,X19)))|subset(X18,X19))))),inference(variable_rename,status(thm),[c30])).
% 267.27/267.57 fof(c33,axiom,(![X15]:(![X16]:(![X17]:(![X18]:(![X19]:((~subset(X15,X16)|(~member(X17,X15)|member(X17,X16)))&((member(skolem0004(X18,X19),X18)&~member(skolem0004(X18,X19),X19))|subset(X18,X19)))))))),inference(shift_quantors,status(thm),[fof(c32,axiom,((![X15]:(![X16]:(~subset(X15,X16)|(![X17]:(~member(X17,X15)|member(X17,X16))))))&(![X18]:(![X19]:((member(skolem0004(X18,X19),X18)&~member(skolem0004(X18,X19),X19))|subset(X18,X19))))),inference(skolemize,status(esa),[c31])).])).
% 267.27/267.57 fof(c34,axiom,(![X15]:(![X16]:(![X17]:(![X18]:(![X19]:((~subset(X15,X16)|(~member(X17,X15)|member(X17,X16)))&((member(skolem0004(X18,X19),X18)|subset(X18,X19))&(~member(skolem0004(X18,X19),X19)|subset(X18,X19))))))))),inference(distribute,status(thm),[c33])).
% 267.27/267.57 cnf(c37,axiom,~member(skolem0004(X93,X92),X92)|subset(X93,X92),inference(split_conjunct,status(thm),[c34])).
% 267.27/267.57 cnf(c36,axiom,member(skolem0004(X79,X78),X79)|subset(X79,X78),inference(split_conjunct,status(thm),[c34])).
% 267.27/267.57 fof(union_defn,axiom,(![B]:(![C]:(![D]:(member(D,union(B,C))<=>(member(D,B)|member(D,C)))))),input).
% 267.27/267.57 fof(c51,axiom,(![B]:(![C]:(![D]:((~member(D,union(B,C))|(member(D,B)|member(D,C)))&((~member(D,B)&~member(D,C))|member(D,union(B,C))))))),inference(fof_nnf,status(thm),[union_defn])).
% 267.27/267.57 fof(c52,axiom,((![B]:(![C]:(![D]:(~member(D,union(B,C))|(member(D,B)|member(D,C))))))&(![B]:(![C]:(![D]:((~member(D,B)&~member(D,C))|member(D,union(B,C))))))),inference(shift_quantors,status(thm),[c51])).
% 267.27/267.57 fof(c54,axiom,(![X28]:(![X29]:(![X30]:(![X31]:(![X32]:(![X33]:((~member(X30,union(X28,X29))|(member(X30,X28)|member(X30,X29)))&((~member(X33,X31)&~member(X33,X32))|member(X33,union(X31,X32)))))))))),inference(shift_quantors,status(thm),[fof(c53,axiom,((![X28]:(![X29]:(![X30]:(~member(X30,union(X28,X29))|(member(X30,X28)|member(X30,X29))))))&(![X31]:(![X32]:(![X33]:((~member(X33,X31)&~member(X33,X32))|member(X33,union(X31,X32))))))),inference(variable_rename,status(thm),[c52])).])).
% 267.27/267.57 fof(c55,axiom,(![X28]:(![X29]:(![X30]:(![X31]:(![X32]:(![X33]:((~member(X30,union(X28,X29))|(member(X30,X28)|member(X30,X29)))&((~member(X33,X31)|member(X33,union(X31,X32)))&(~member(X33,X32)|member(X33,union(X31,X32))))))))))),inference(distribute,status(thm),[c54])).
% 267.27/267.57 cnf(c57,axiom,~member(X98,X99)|member(X98,union(X99,X100)),inference(split_conjunct,status(thm),[c55])).
% 267.27/267.57 cnf(c94,plain,member(skolem0004(X271,X270),union(X271,X272))|subset(X271,X270),inference(resolution,status(thm),[c57, c36])).
% 267.27/267.57 cnf(c506,plain,subset(X274,union(X274,X273)),inference(resolution,status(thm),[c94, c37])).
% 267.27/267.57 cnf(c521,plain,~subset(union(X437,X438),X437)|union(X437,X438)=X437,inference(resolution,status(thm),[c506, c47])).
% 267.27/267.57 fof(empty_set_defn,axiom,(![B]:(~member(B,empty_set))),input).
% 267.27/267.57 fof(c48,axiom,(![B]:~member(B,empty_set)),inference(fof_simplification,status(thm),[empty_set_defn])).
% 267.27/267.57 fof(c49,axiom,(![X27]:~member(X27,empty_set)),inference(variable_rename,status(thm),[c48])).
% 267.27/267.57 cnf(c50,axiom,~member(X36,empty_set),inference(split_conjunct,status(thm),[c49])).
% 267.27/267.57 cnf(c56,axiom,~member(X121,union(X119,X120))|member(X121,X119)|member(X121,X120),inference(split_conjunct,status(thm),[c55])).
% 267.27/267.57 cnf(c173,plain,member(skolem0004(union(X730,X729),X731),X730)|member(skolem0004(union(X730,X729),X731),X729)|subset(union(X730,X729),X731),inference(resolution,status(thm),[c56, c36])).
% 267.27/267.57 cnf(c2324,plain,member(skolem0004(union(X14084,X14083),X14084),X14083)|subset(union(X14084,X14083),X14084),inference(resolution,status(thm),[c173, c37])).
% 267.27/267.57 cnf(c219023,plain,subset(union(X14088,empty_set),X14088),inference(resolution,status(thm),[c2324, c50])).
% 267.27/267.57 cnf(c219114,plain,union(X14089,empty_set)=X14089,inference(resolution,status(thm),[c219023, c521])).
% 267.27/267.57 cnf(c219215,plain,$false,inference(resolution,status(thm),[c219114, c8])).
% 267.27/267.57 # SZS output end CNFRefutation
% 267.27/267.57
% 267.27/267.57 # Initial clauses : 26
% 267.27/267.57 # Processed clauses : 1651
% 267.27/267.57 # Factors computed : 397
% 267.27/267.57 # Resolvents computed: 219018
% 267.27/267.57 # Tautologies deleted: 21
% 267.27/267.57 # Forward subsumed : 6154
% 267.27/267.57 # Backward subsumed : 81
% 267.27/267.57 # -------- CPU Time ---------
% 267.27/267.57 # User time : 266.648 s
% 267.27/267.57 # System time : 0.490 s
% 267.27/267.57 # Total time : 267.138 s
%------------------------------------------------------------------------------