TSTP Solution File: SET587+3 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SET587+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 04:38:43 EDT 2022
% Result : Theorem 219.76s 220.01s
% Output : Refutation 219.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SET587+3 : TPTP v8.1.0. Released v2.2.0.
% 0.13/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35 % Computer : n006.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sat Jul 9 18:26:51 EDT 2022
% 0.14/0.35 % CPUTime :
% 219.76/220.01 # Version: 1.3
% 219.76/220.01 # SZS status Theorem
% 219.76/220.01 # SZS output start CNFRefutation
% 219.76/220.01 fof(difference_defn,axiom,(![B]:(![C]:(![D]:(member(D,difference(B,C))<=>(member(D,B)&(~member(D,C))))))),input).
% 219.76/220.01 fof(c50,axiom,(![B]:(![C]:(![D]:(member(D,difference(B,C))<=>(member(D,B)&~member(D,C)))))),inference(fof_simplification,status(thm),[difference_defn])).
% 219.76/220.01 fof(c51,axiom,(![B]:(![C]:(![D]:((~member(D,difference(B,C))|(member(D,B)&~member(D,C)))&((~member(D,B)|member(D,C))|member(D,difference(B,C))))))),inference(fof_nnf,status(thm),[c50])).
% 219.76/220.01 fof(c52,axiom,((![B]:(![C]:(![D]:(~member(D,difference(B,C))|(member(D,B)&~member(D,C))))))&(![B]:(![C]:(![D]:((~member(D,B)|member(D,C))|member(D,difference(B,C))))))),inference(shift_quantors,status(thm),[c51])).
% 219.76/220.01 fof(c54,axiom,(![X27]:(![X28]:(![X29]:(![X30]:(![X31]:(![X32]:((~member(X29,difference(X27,X28))|(member(X29,X27)&~member(X29,X28)))&((~member(X32,X30)|member(X32,X31))|member(X32,difference(X30,X31)))))))))),inference(shift_quantors,status(thm),[fof(c53,axiom,((![X27]:(![X28]:(![X29]:(~member(X29,difference(X27,X28))|(member(X29,X27)&~member(X29,X28))))))&(![X30]:(![X31]:(![X32]:((~member(X32,X30)|member(X32,X31))|member(X32,difference(X30,X31))))))),inference(variable_rename,status(thm),[c52])).])).
% 219.76/220.01 fof(c55,axiom,(![X27]:(![X28]:(![X29]:(![X30]:(![X31]:(![X32]:(((~member(X29,difference(X27,X28))|member(X29,X27))&(~member(X29,difference(X27,X28))|~member(X29,X28)))&((~member(X32,X30)|member(X32,X31))|member(X32,difference(X30,X31)))))))))),inference(distribute,status(thm),[c54])).
% 219.76/220.01 cnf(c57,axiom,~member(X90,difference(X91,X89))|~member(X90,X89),inference(split_conjunct,status(thm),[c55])).
% 219.76/220.01 fof(prove_difference_empty_set,conjecture,(![B]:(![C]:(difference(B,C)=empty_set<=>subset(B,C)))),input).
% 219.76/220.01 fof(c4,negated_conjecture,(~(![B]:(![C]:(difference(B,C)=empty_set<=>subset(B,C))))),inference(assume_negation,status(cth),[prove_difference_empty_set])).
% 219.76/220.01 fof(c5,negated_conjecture,(?[B]:(?[C]:((difference(B,C)!=empty_set|~subset(B,C))&(difference(B,C)=empty_set|subset(B,C))))),inference(fof_nnf,status(thm),[c4])).
% 219.76/220.01 fof(c6,negated_conjecture,(?[X2]:(?[X3]:((difference(X2,X3)!=empty_set|~subset(X2,X3))&(difference(X2,X3)=empty_set|subset(X2,X3))))),inference(variable_rename,status(thm),[c5])).
% 219.76/220.01 fof(c7,negated_conjecture,((difference(skolem0001,skolem0002)!=empty_set|~subset(skolem0001,skolem0002))&(difference(skolem0001,skolem0002)=empty_set|subset(skolem0001,skolem0002))),inference(skolemize,status(esa),[c6])).
% 219.76/220.01 cnf(c8,negated_conjecture,difference(skolem0001,skolem0002)!=empty_set|~subset(skolem0001,skolem0002),inference(split_conjunct,status(thm),[c7])).
% 219.76/220.01 fof(empty_defn,axiom,(![B]:(empty(B)<=>(![C]:(~member(C,B))))),input).
% 219.76/220.01 fof(c10,axiom,(![B]:(empty(B)<=>(![C]:~member(C,B)))),inference(fof_simplification,status(thm),[empty_defn])).
% 219.76/220.01 fof(c11,axiom,(![B]:((~empty(B)|(![C]:~member(C,B)))&((?[C]:member(C,B))|empty(B)))),inference(fof_nnf,status(thm),[c10])).
% 219.76/220.01 fof(c12,axiom,((![B]:(~empty(B)|(![C]:~member(C,B))))&(![B]:((?[C]:member(C,B))|empty(B)))),inference(shift_quantors,status(thm),[c11])).
% 219.76/220.01 fof(c13,axiom,((![X4]:(~empty(X4)|(![X5]:~member(X5,X4))))&(![X6]:((?[X7]:member(X7,X6))|empty(X6)))),inference(variable_rename,status(thm),[c12])).
% 219.76/220.01 fof(c15,axiom,(![X4]:(![X5]:(![X6]:((~empty(X4)|~member(X5,X4))&(member(skolem0003(X6),X6)|empty(X6)))))),inference(shift_quantors,status(thm),[fof(c14,axiom,((![X4]:(~empty(X4)|(![X5]:~member(X5,X4))))&(![X6]:(member(skolem0003(X6),X6)|empty(X6)))),inference(skolemize,status(esa),[c13])).])).
% 219.76/220.01 cnf(c17,axiom,member(skolem0003(X59),X59)|empty(X59),inference(split_conjunct,status(thm),[c15])).
% 219.76/220.01 cnf(c16,axiom,~empty(X39)|~member(X40,X39),inference(split_conjunct,status(thm),[c15])).
% 219.76/220.01 fof(subset_defn,axiom,(![B]:(![C]:(subset(B,C)<=>(![D]:(member(D,B)=>member(D,C)))))),input).
% 219.76/220.01 fof(c38,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])).
% 219.76/220.01 fof(c39,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),[c38])).
% 219.76/220.01 fof(c40,axiom,((![X20]:(![X21]:(~subset(X20,X21)|(![X22]:(~member(X22,X20)|member(X22,X21))))))&(![X23]:(![X24]:((?[X25]:(member(X25,X23)&~member(X25,X24)))|subset(X23,X24))))),inference(variable_rename,status(thm),[c39])).
% 219.76/220.01 fof(c42,axiom,(![X20]:(![X21]:(![X22]:(![X23]:(![X24]:((~subset(X20,X21)|(~member(X22,X20)|member(X22,X21)))&((member(skolem0005(X23,X24),X23)&~member(skolem0005(X23,X24),X24))|subset(X23,X24)))))))),inference(shift_quantors,status(thm),[fof(c41,axiom,((![X20]:(![X21]:(~subset(X20,X21)|(![X22]:(~member(X22,X20)|member(X22,X21))))))&(![X23]:(![X24]:((member(skolem0005(X23,X24),X23)&~member(skolem0005(X23,X24),X24))|subset(X23,X24))))),inference(skolemize,status(esa),[c40])).])).
% 219.76/220.01 fof(c43,axiom,(![X20]:(![X21]:(![X22]:(![X23]:(![X24]:((~subset(X20,X21)|(~member(X22,X20)|member(X22,X21)))&((member(skolem0005(X23,X24),X23)|subset(X23,X24))&(~member(skolem0005(X23,X24),X24)|subset(X23,X24))))))))),inference(distribute,status(thm),[c42])).
% 219.76/220.01 cnf(c45,axiom,member(skolem0005(X69,X68),X69)|subset(X69,X68),inference(split_conjunct,status(thm),[c43])).
% 219.76/220.01 cnf(c76,plain,subset(X71,X72)|~empty(X71),inference(resolution,status(thm),[c45, c16])).
% 219.76/220.01 cnf(c78,plain,subset(X79,X78)|member(skolem0003(X79),X79),inference(resolution,status(thm),[c76, c17])).
% 219.76/220.01 fof(empty_set_defn,axiom,(![B]:(~member(B,empty_set))),input).
% 219.76/220.01 fof(c47,axiom,(![B]:~member(B,empty_set)),inference(fof_simplification,status(thm),[empty_set_defn])).
% 219.76/220.01 fof(c48,axiom,(![X26]:~member(X26,empty_set)),inference(variable_rename,status(thm),[c47])).
% 219.76/220.01 cnf(c49,axiom,~member(X38,empty_set),inference(split_conjunct,status(thm),[c48])).
% 219.76/220.01 cnf(c74,plain,subset(empty_set,X70),inference(resolution,status(thm),[c45, c49])).
% 219.76/220.01 fof(equal_defn,axiom,(![B]:(![C]:(B=C<=>(subset(B,C)&subset(C,B))))),input).
% 219.76/220.01 fof(c30,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])).
% 219.76/220.01 fof(c31,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),[c30])).
% 219.76/220.01 fof(c33,axiom,(![X16]:(![X17]:(![X18]:(![X19]:((X16!=X17|(subset(X16,X17)&subset(X17,X16)))&((~subset(X18,X19)|~subset(X19,X18))|X18=X19)))))),inference(shift_quantors,status(thm),[fof(c32,axiom,((![X16]:(![X17]:(X16!=X17|(subset(X16,X17)&subset(X17,X16)))))&(![X18]:(![X19]:((~subset(X18,X19)|~subset(X19,X18))|X18=X19)))),inference(variable_rename,status(thm),[c31])).])).
% 219.76/220.01 fof(c34,axiom,(![X16]:(![X17]:(![X18]:(![X19]:(((X16!=X17|subset(X16,X17))&(X16!=X17|subset(X17,X16)))&((~subset(X18,X19)|~subset(X19,X18))|X18=X19)))))),inference(distribute,status(thm),[c33])).
% 219.76/220.01 cnf(c37,axiom,~subset(X98,X99)|~subset(X99,X98)|X98=X99,inference(split_conjunct,status(thm),[c34])).
% 219.76/220.01 cnf(c99,plain,~subset(X101,empty_set)|X101=empty_set,inference(resolution,status(thm),[c37, c74])).
% 219.76/220.01 cnf(c114,plain,X102=empty_set|member(skolem0003(X102),X102),inference(resolution,status(thm),[c99, c78])).
% 219.76/220.01 cnf(c117,plain,member(skolem0003(difference(skolem0001,skolem0002)),difference(skolem0001,skolem0002))|~subset(skolem0001,skolem0002),inference(resolution,status(thm),[c114, c8])).
% 219.76/220.01 cnf(c46,axiom,~member(skolem0005(X84,X83),X83)|subset(X84,X83),inference(split_conjunct,status(thm),[c43])).
% 219.76/220.01 cnf(c58,axiom,~member(X123,X122)|member(X123,X121)|member(X123,difference(X122,X121)),inference(split_conjunct,status(thm),[c55])).
% 219.76/220.01 cnf(c181,plain,member(skolem0005(X827,X829),X828)|member(skolem0005(X827,X829),difference(X827,X828))|subset(X827,X829),inference(resolution,status(thm),[c58, c45])).
% 219.76/220.01 cnf(c2813,plain,member(skolem0005(X1161,X1162),difference(X1161,X1162))|subset(X1161,X1162),inference(resolution,status(thm),[c181, c46])).
% 219.76/220.01 cnf(c4425,plain,subset(X1164,X1163)|~empty(difference(X1164,X1163)),inference(resolution,status(thm),[c2813, c16])).
% 219.76/220.01 cnf(c9,negated_conjecture,difference(skolem0001,skolem0002)=empty_set|subset(skolem0001,skolem0002),inference(split_conjunct,status(thm),[c7])).
% 219.76/220.01 fof(equal_member_defn,axiom,(![B]:(![C]:(B=C<=>(![D]:(member(D,B)<=>member(D,C)))))),input).
% 219.76/220.01 fof(c20,axiom,(![B]:(![C]:((B!=C|(![D]:((~member(D,B)|member(D,C))&(~member(D,C)|member(D,B)))))&((?[D]:((~member(D,B)|~member(D,C))&(member(D,B)|member(D,C))))|B=C)))),inference(fof_nnf,status(thm),[equal_member_defn])).
% 219.76/220.01 fof(c21,axiom,((![B]:(![C]:(B!=C|((![D]:(~member(D,B)|member(D,C)))&(![D]:(~member(D,C)|member(D,B)))))))&(![B]:(![C]:((?[D]:((~member(D,B)|~member(D,C))&(member(D,B)|member(D,C))))|B=C)))),inference(shift_quantors,status(thm),[c20])).
% 219.76/220.01 fof(c22,axiom,((![X9]:(![X10]:(X9!=X10|((![X11]:(~member(X11,X9)|member(X11,X10)))&(![X12]:(~member(X12,X10)|member(X12,X9)))))))&(![X13]:(![X14]:((?[X15]:((~member(X15,X13)|~member(X15,X14))&(member(X15,X13)|member(X15,X14))))|X13=X14)))),inference(variable_rename,status(thm),[c21])).
% 219.76/220.01 fof(c24,axiom,(![X9]:(![X10]:(![X11]:(![X12]:(![X13]:(![X14]:((X9!=X10|((~member(X11,X9)|member(X11,X10))&(~member(X12,X10)|member(X12,X9))))&(((~member(skolem0004(X13,X14),X13)|~member(skolem0004(X13,X14),X14))&(member(skolem0004(X13,X14),X13)|member(skolem0004(X13,X14),X14)))|X13=X14)))))))),inference(shift_quantors,status(thm),[fof(c23,axiom,((![X9]:(![X10]:(X9!=X10|((![X11]:(~member(X11,X9)|member(X11,X10)))&(![X12]:(~member(X12,X10)|member(X12,X9)))))))&(![X13]:(![X14]:(((~member(skolem0004(X13,X14),X13)|~member(skolem0004(X13,X14),X14))&(member(skolem0004(X13,X14),X13)|member(skolem0004(X13,X14),X14)))|X13=X14)))),inference(skolemize,status(esa),[c22])).])).
% 219.76/220.01 fof(c25,axiom,(![X9]:(![X10]:(![X11]:(![X12]:(![X13]:(![X14]:(((X9!=X10|(~member(X11,X9)|member(X11,X10)))&(X9!=X10|(~member(X12,X10)|member(X12,X9))))&(((~member(skolem0004(X13,X14),X13)|~member(skolem0004(X13,X14),X14))|X13=X14)&((member(skolem0004(X13,X14),X13)|member(skolem0004(X13,X14),X14))|X13=X14))))))))),inference(distribute,status(thm),[c24])).
% 219.76/220.01 cnf(c26,axiom,X94!=X92|~member(X93,X94)|member(X93,X92),inference(split_conjunct,status(thm),[c25])).
% 219.76/220.01 cnf(c93,plain,X139!=X140|member(skolem0003(X139),X140)|empty(X139),inference(resolution,status(thm),[c26, c17])).
% 219.76/220.01 cnf(c203,plain,member(skolem0003(difference(skolem0001,skolem0002)),empty_set)|empty(difference(skolem0001,skolem0002))|subset(skolem0001,skolem0002),inference(resolution,status(thm),[c93, c9])).
% 219.76/220.01 cnf(c3555,plain,empty(difference(skolem0001,skolem0002))|subset(skolem0001,skolem0002),inference(resolution,status(thm),[c203, c49])).
% 219.76/220.01 cnf(c5390,plain,subset(skolem0001,skolem0002),inference(resolution,status(thm),[c3555, c4425])).
% 219.76/220.01 cnf(c5438,plain,member(skolem0003(difference(skolem0001,skolem0002)),difference(skolem0001,skolem0002)),inference(resolution,status(thm),[c5390, c117])).
% 219.76/220.01 cnf(c83598,plain,~member(skolem0003(difference(skolem0001,skolem0002)),skolem0002),inference(resolution,status(thm),[c5438, c57])).
% 219.76/220.01 cnf(c44,axiom,~subset(X114,X113)|~member(X115,X114)|member(X115,X113),inference(split_conjunct,status(thm),[c43])).
% 219.76/220.01 cnf(c56,axiom,~member(X87,difference(X88,X86))|member(X87,X88),inference(split_conjunct,status(thm),[c55])).
% 219.76/220.01 cnf(c87,plain,member(skolem0003(difference(X202,X203)),X202)|empty(difference(X202,X203)),inference(resolution,status(thm),[c56, c17])).
% 219.76/220.01 cnf(c4451,plain,subset(X1189,X1190)|member(skolem0003(difference(X1189,X1190)),X1189),inference(resolution,status(thm),[c4425, c87])).
% 219.76/220.01 cnf(c129,plain,difference(X451,X452)=empty_set|member(skolem0003(difference(X451,X452)),X451),inference(resolution,status(thm),[c114, c56])).
% 219.76/220.01 cnf(c1172,plain,member(skolem0003(difference(skolem0001,skolem0002)),skolem0001)|~subset(skolem0001,skolem0002),inference(resolution,status(thm),[c129, c8])).
% 219.76/220.01 cnf(c68952,plain,member(skolem0003(difference(skolem0001,skolem0002)),skolem0001),inference(resolution,status(thm),[c1172, c4451])).
% 219.76/220.01 cnf(c68973,plain,~subset(skolem0001,X14430)|member(skolem0003(difference(skolem0001,skolem0002)),X14430),inference(resolution,status(thm),[c68952, c44])).
% 219.76/220.01 cnf(c168678,plain,member(skolem0003(difference(skolem0001,skolem0002)),skolem0002),inference(resolution,status(thm),[c68973, c5390])).
% 219.76/220.01 cnf(c168703,plain,$false,inference(resolution,status(thm),[c168678, c83598])).
% 219.76/220.01 # SZS output end CNFRefutation
% 219.76/220.01
% 219.76/220.01 # Initial clauses : 28
% 219.76/220.01 # Processed clauses : 1443
% 219.76/220.01 # Factors computed : 194
% 219.76/220.01 # Resolvents computed: 168453
% 219.76/220.01 # Tautologies deleted: 27
% 219.76/220.01 # Forward subsumed : 6885
% 219.76/220.01 # Backward subsumed : 74
% 219.76/220.01 # -------- CPU Time ---------
% 219.76/220.01 # User time : 219.172 s
% 219.76/220.01 # System time : 0.418 s
% 219.76/220.01 # Total time : 219.590 s
%------------------------------------------------------------------------------