TSTP Solution File: SET194+3 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SET194+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n006.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 04:36:31 EDT 2022
% Result : Theorem 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET194+3 : TPTP v8.1.0. Released v2.2.0.
% 0.10/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.33 % Computer : n006.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 : Sun Jul 10 13:21:51 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.53 # Version: 1.3
% 0.20/0.53 # SZS status Theorem
% 0.20/0.53 # SZS output start CNFRefutation
% 0.20/0.53 fof(prove_subset_of_union,conjecture,(![B]:(![C]:subset(B,union(B,C)))),input).
% 0.20/0.53 fof(c3,negated_conjecture,(~(![B]:(![C]:subset(B,union(B,C))))),inference(assume_negation,status(cth),[prove_subset_of_union])).
% 0.20/0.53 fof(c4,negated_conjecture,(?[B]:(?[C]:~subset(B,union(B,C)))),inference(fof_nnf,status(thm),[c3])).
% 0.20/0.53 fof(c5,negated_conjecture,(?[X2]:(?[X3]:~subset(X2,union(X2,X3)))),inference(variable_rename,status(thm),[c4])).
% 0.20/0.53 fof(c6,negated_conjecture,~subset(skolem0001,union(skolem0001,skolem0002)),inference(skolemize,status(esa),[c5])).
% 0.20/0.53 cnf(c7,negated_conjecture,~subset(skolem0001,union(skolem0001,skolem0002)),inference(split_conjunct,status(thm),[c6])).
% 0.20/0.53 fof(subset_defn,axiom,(![B]:(![C]:(subset(B,C)<=>(![D]:(member(D,B)=>member(D,C)))))),input).
% 0.20/0.53 fof(c22,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])).
% 0.20/0.53 fof(c23,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),[c22])).
% 0.20/0.53 fof(c24,axiom,((![X14]:(![X15]:(~subset(X14,X15)|(![X16]:(~member(X16,X14)|member(X16,X15))))))&(![X17]:(![X18]:((?[X19]:(member(X19,X17)&~member(X19,X18)))|subset(X17,X18))))),inference(variable_rename,status(thm),[c23])).
% 0.20/0.53 fof(c26,axiom,(![X14]:(![X15]:(![X16]:(![X17]:(![X18]:((~subset(X14,X15)|(~member(X16,X14)|member(X16,X15)))&((member(skolem0004(X17,X18),X17)&~member(skolem0004(X17,X18),X18))|subset(X17,X18)))))))),inference(shift_quantors,status(thm),[fof(c25,axiom,((![X14]:(![X15]:(~subset(X14,X15)|(![X16]:(~member(X16,X14)|member(X16,X15))))))&(![X17]:(![X18]:((member(skolem0004(X17,X18),X17)&~member(skolem0004(X17,X18),X18))|subset(X17,X18))))),inference(skolemize,status(esa),[c24])).])).
% 0.20/0.53 fof(c27,axiom,(![X14]:(![X15]:(![X16]:(![X17]:(![X18]:((~subset(X14,X15)|(~member(X16,X14)|member(X16,X15)))&((member(skolem0004(X17,X18),X17)|subset(X17,X18))&(~member(skolem0004(X17,X18),X18)|subset(X17,X18))))))))),inference(distribute,status(thm),[c26])).
% 0.20/0.53 cnf(c30,axiom,~member(skolem0004(X43,X42),X42)|subset(X43,X42),inference(split_conjunct,status(thm),[c27])).
% 0.20/0.53 cnf(c29,axiom,member(skolem0004(X41,X40),X41)|subset(X41,X40),inference(split_conjunct,status(thm),[c27])).
% 0.20/0.53 fof(union_defn,axiom,(![B]:(![C]:(![D]:(member(D,union(B,C))<=>(member(D,B)|member(D,C)))))),input).
% 0.20/0.53 fof(c31,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])).
% 0.20/0.53 fof(c32,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),[c31])).
% 0.20/0.53 fof(c34,axiom,(![X20]:(![X21]:(![X22]:(![X23]:(![X24]:(![X25]:((~member(X22,union(X20,X21))|(member(X22,X20)|member(X22,X21)))&((~member(X25,X23)&~member(X25,X24))|member(X25,union(X23,X24)))))))))),inference(shift_quantors,status(thm),[fof(c33,axiom,((![X20]:(![X21]:(![X22]:(~member(X22,union(X20,X21))|(member(X22,X20)|member(X22,X21))))))&(![X23]:(![X24]:(![X25]:((~member(X25,X23)&~member(X25,X24))|member(X25,union(X23,X24))))))),inference(variable_rename,status(thm),[c32])).])).
% 0.20/0.53 fof(c35,axiom,(![X20]:(![X21]:(![X22]:(![X23]:(![X24]:(![X25]:((~member(X22,union(X20,X21))|(member(X22,X20)|member(X22,X21)))&((~member(X25,X23)|member(X25,union(X23,X24)))&(~member(X25,X24)|member(X25,union(X23,X24))))))))))),inference(distribute,status(thm),[c34])).
% 0.20/0.53 cnf(c37,axiom,~member(X51,X50)|member(X51,union(X50,X49)),inference(split_conjunct,status(thm),[c35])).
% 0.20/0.53 cnf(c47,plain,member(skolem0004(X95,X96),union(X95,X94))|subset(X95,X96),inference(resolution,status(thm),[c37, c29])).
% 0.20/0.53 cnf(c70,plain,subset(X97,union(X97,X98)),inference(resolution,status(thm),[c47, c30])).
% 0.20/0.53 cnf(c80,plain,$false,inference(resolution,status(thm),[c70, c7])).
% 0.20/0.53 # SZS output end CNFRefutation
% 0.20/0.53
% 0.20/0.53 # Initial clauses : 19
% 0.20/0.53 # Processed clauses : 25
% 0.20/0.53 # Factors computed : 0
% 0.20/0.53 # Resolvents computed: 42
% 0.20/0.53 # Tautologies deleted: 1
% 0.20/0.53 # Forward subsumed : 7
% 0.20/0.53 # Backward subsumed : 0
% 0.20/0.53 # -------- CPU Time ---------
% 0.20/0.53 # User time : 0.181 s
% 0.20/0.53 # System time : 0.011 s
% 0.20/0.53 # Total time : 0.192 s
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