TSTP Solution File: SEU119+2 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SEU119+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n020.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 13:35:42 EDT 2022
% Result : Theorem 54.44s 54.72s
% Output : Refutation 54.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SEU119+2 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.33 % Computer : n020.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 : Mon Jun 20 12:21:33 EDT 2022
% 0.13/0.33 % CPUTime :
% 54.44/54.72 # Version: 1.3
% 54.44/54.72 # SZS status Theorem
% 54.44/54.72 # SZS output start CNFRefutation
% 54.44/54.72 fof(d7_xboole_0,axiom,(![A]:(![B]:(disjoint(A,B)<=>set_intersection2(A,B)=empty_set))),input).
% 54.44/54.72 fof(c34,axiom,(![A]:(![B]:((~disjoint(A,B)|set_intersection2(A,B)=empty_set)&(set_intersection2(A,B)!=empty_set|disjoint(A,B))))),inference(fof_nnf,status(thm),[d7_xboole_0])).
% 54.44/54.72 fof(c35,axiom,((![A]:(![B]:(~disjoint(A,B)|set_intersection2(A,B)=empty_set)))&(![A]:(![B]:(set_intersection2(A,B)!=empty_set|disjoint(A,B))))),inference(shift_quantors,status(thm),[c34])).
% 54.44/54.72 fof(c37,axiom,(![X13]:(![X14]:(![X15]:(![X16]:((~disjoint(X13,X14)|set_intersection2(X13,X14)=empty_set)&(set_intersection2(X15,X16)!=empty_set|disjoint(X15,X16))))))),inference(shift_quantors,status(thm),[fof(c36,axiom,((![X13]:(![X14]:(~disjoint(X13,X14)|set_intersection2(X13,X14)=empty_set)))&(![X15]:(![X16]:(set_intersection2(X15,X16)!=empty_set|disjoint(X15,X16))))),inference(variable_rename,status(thm),[c35])).])).
% 54.44/54.72 cnf(c38,axiom,~disjoint(X89,X90)|set_intersection2(X89,X90)=empty_set,inference(split_conjunct,status(thm),[c37])).
% 54.44/54.72 fof(d1_xboole_0,axiom,(![A]:(A=empty_set<=>(![B]:(~in(B,A))))),input).
% 54.44/54.72 fof(c52,axiom,(![A]:(A=empty_set<=>(![B]:~in(B,A)))),inference(fof_simplification,status(thm),[d1_xboole_0])).
% 54.44/54.72 fof(c53,axiom,(![A]:((A!=empty_set|(![B]:~in(B,A)))&((?[B]:in(B,A))|A=empty_set))),inference(fof_nnf,status(thm),[c52])).
% 54.44/54.72 fof(c54,axiom,((![A]:(A!=empty_set|(![B]:~in(B,A))))&(![A]:((?[B]:in(B,A))|A=empty_set))),inference(shift_quantors,status(thm),[c53])).
% 54.44/54.72 fof(c55,axiom,((![X26]:(X26!=empty_set|(![X27]:~in(X27,X26))))&(![X28]:((?[X29]:in(X29,X28))|X28=empty_set))),inference(variable_rename,status(thm),[c54])).
% 54.44/54.72 fof(c57,axiom,(![X26]:(![X27]:(![X28]:((X26!=empty_set|~in(X27,X26))&(in(skolem0009(X28),X28)|X28=empty_set))))),inference(shift_quantors,status(thm),[fof(c56,axiom,((![X26]:(X26!=empty_set|(![X27]:~in(X27,X26))))&(![X28]:(in(skolem0009(X28),X28)|X28=empty_set))),inference(skolemize,status(esa),[c55])).])).
% 54.44/54.72 cnf(c58,axiom,X51!=empty_set|~in(X50,X51),inference(split_conjunct,status(thm),[c57])).
% 54.44/54.72 fof(symmetry_r1_xboole_0,axiom,(![A]:(![B]:(disjoint(A,B)=>disjoint(B,A)))),input).
% 54.44/54.72 fof(c18,axiom,(![A]:(![B]:(~disjoint(A,B)|disjoint(B,A)))),inference(fof_nnf,status(thm),[symmetry_r1_xboole_0])).
% 54.44/54.72 fof(c19,axiom,(![X8]:(![X9]:(~disjoint(X8,X9)|disjoint(X9,X8)))),inference(variable_rename,status(thm),[c18])).
% 54.44/54.72 cnf(c20,axiom,~disjoint(X45,X44)|disjoint(X44,X45),inference(split_conjunct,status(thm),[c19])).
% 54.44/54.72 cnf(c59,axiom,in(skolem0009(X69),X69)|X69=empty_set,inference(split_conjunct,status(thm),[c57])).
% 54.44/54.72 fof(commutativity_k3_xboole_0,axiom,(![A]:(![B]:set_intersection2(A,B)=set_intersection2(B,A))),input).
% 54.44/54.72 fof(c60,axiom,(![X30]:(![X31]:set_intersection2(X30,X31)=set_intersection2(X31,X30))),inference(variable_rename,status(thm),[commutativity_k3_xboole_0])).
% 54.44/54.72 cnf(c61,axiom,set_intersection2(X65,X66)=set_intersection2(X66,X65),inference(split_conjunct,status(thm),[c60])).
% 54.44/54.72 fof(d3_xboole_0,axiom,(![A]:(![B]:(![C]:(C=set_intersection2(A,B)<=>(![D]:(in(D,C)<=>(in(D,A)&in(D,B)))))))),input).
% 54.44/54.72 fof(c40,axiom,(![A]:(![B]:(![C]:((C!=set_intersection2(A,B)|(![D]:((~in(D,C)|(in(D,A)&in(D,B)))&((~in(D,A)|~in(D,B))|in(D,C)))))&((?[D]:((~in(D,C)|(~in(D,A)|~in(D,B)))&(in(D,C)|(in(D,A)&in(D,B)))))|C=set_intersection2(A,B)))))),inference(fof_nnf,status(thm),[d3_xboole_0])).
% 54.44/54.72 fof(c41,axiom,((![A]:(![B]:(![C]:(C!=set_intersection2(A,B)|((![D]:(~in(D,C)|(in(D,A)&in(D,B))))&(![D]:((~in(D,A)|~in(D,B))|in(D,C))))))))&(![A]:(![B]:(![C]:((?[D]:((~in(D,C)|(~in(D,A)|~in(D,B)))&(in(D,C)|(in(D,A)&in(D,B)))))|C=set_intersection2(A,B)))))),inference(shift_quantors,status(thm),[c40])).
% 54.44/54.72 fof(c42,axiom,((![X17]:(![X18]:(![X19]:(X19!=set_intersection2(X17,X18)|((![X20]:(~in(X20,X19)|(in(X20,X17)&in(X20,X18))))&(![X21]:((~in(X21,X17)|~in(X21,X18))|in(X21,X19))))))))&(![X22]:(![X23]:(![X24]:((?[X25]:((~in(X25,X24)|(~in(X25,X22)|~in(X25,X23)))&(in(X25,X24)|(in(X25,X22)&in(X25,X23)))))|X24=set_intersection2(X22,X23)))))),inference(variable_rename,status(thm),[c41])).
% 54.44/54.72 fof(c44,axiom,(![X17]:(![X18]:(![X19]:(![X20]:(![X21]:(![X22]:(![X23]:(![X24]:((X19!=set_intersection2(X17,X18)|((~in(X20,X19)|(in(X20,X17)&in(X20,X18)))&((~in(X21,X17)|~in(X21,X18))|in(X21,X19))))&(((~in(skolem0008(X22,X23,X24),X24)|(~in(skolem0008(X22,X23,X24),X22)|~in(skolem0008(X22,X23,X24),X23)))&(in(skolem0008(X22,X23,X24),X24)|(in(skolem0008(X22,X23,X24),X22)&in(skolem0008(X22,X23,X24),X23))))|X24=set_intersection2(X22,X23))))))))))),inference(shift_quantors,status(thm),[fof(c43,axiom,((![X17]:(![X18]:(![X19]:(X19!=set_intersection2(X17,X18)|((![X20]:(~in(X20,X19)|(in(X20,X17)&in(X20,X18))))&(![X21]:((~in(X21,X17)|~in(X21,X18))|in(X21,X19))))))))&(![X22]:(![X23]:(![X24]:(((~in(skolem0008(X22,X23,X24),X24)|(~in(skolem0008(X22,X23,X24),X22)|~in(skolem0008(X22,X23,X24),X23)))&(in(skolem0008(X22,X23,X24),X24)|(in(skolem0008(X22,X23,X24),X22)&in(skolem0008(X22,X23,X24),X23))))|X24=set_intersection2(X22,X23)))))),inference(skolemize,status(esa),[c42])).])).
% 54.44/54.72 fof(c45,axiom,(![X17]:(![X18]:(![X19]:(![X20]:(![X21]:(![X22]:(![X23]:(![X24]:((((X19!=set_intersection2(X17,X18)|(~in(X20,X19)|in(X20,X17)))&(X19!=set_intersection2(X17,X18)|(~in(X20,X19)|in(X20,X18))))&(X19!=set_intersection2(X17,X18)|((~in(X21,X17)|~in(X21,X18))|in(X21,X19))))&(((~in(skolem0008(X22,X23,X24),X24)|(~in(skolem0008(X22,X23,X24),X22)|~in(skolem0008(X22,X23,X24),X23)))|X24=set_intersection2(X22,X23))&(((in(skolem0008(X22,X23,X24),X24)|in(skolem0008(X22,X23,X24),X22))|X24=set_intersection2(X22,X23))&((in(skolem0008(X22,X23,X24),X24)|in(skolem0008(X22,X23,X24),X23))|X24=set_intersection2(X22,X23))))))))))))),inference(distribute,status(thm),[c44])).
% 54.44/54.72 cnf(c46,axiom,X108!=set_intersection2(X106,X107)|~in(X105,X108)|in(X105,X106),inference(split_conjunct,status(thm),[c45])).
% 54.44/54.72 cnf(c158,plain,~in(X130,set_intersection2(X129,X128))|in(X130,X128),inference(resolution,status(thm),[c46, c61])).
% 54.44/54.72 cnf(c39,axiom,set_intersection2(X93,X92)!=empty_set|disjoint(X93,X92),inference(split_conjunct,status(thm),[c37])).
% 54.44/54.72 cnf(c116,plain,disjoint(X301,X302)|in(skolem0009(set_intersection2(X301,X302)),set_intersection2(X301,X302)),inference(resolution,status(thm),[c39, c59])).
% 54.44/54.72 cnf(c781,plain,disjoint(X318,X319)|in(skolem0009(set_intersection2(X318,X319)),X319),inference(resolution,status(thm),[c116, c158])).
% 54.44/54.72 cnf(c867,plain,disjoint(X321,X320)|X320!=empty_set,inference(resolution,status(thm),[c781, c58])).
% 54.44/54.72 cnf(c879,plain,disjoint(X373,X374)|in(skolem0009(X374),X374),inference(resolution,status(thm),[c867, c59])).
% 54.44/54.72 cnf(c1164,plain,in(skolem0009(X384),X384)|disjoint(X384,X383),inference(resolution,status(thm),[c879, c20])).
% 54.44/54.72 cnf(c1176,plain,disjoint(X386,X385)|X386!=empty_set,inference(resolution,status(thm),[c1164, c58])).
% 54.44/54.72 cnf(reflexivity,axiom,X34=X34,eq_axiom).
% 54.44/54.72 cnf(c883,plain,disjoint(X322,empty_set),inference(resolution,status(thm),[c867, reflexivity])).
% 54.44/54.72 cnf(c886,plain,disjoint(empty_set,X324),inference(resolution,status(thm),[c883, c20])).
% 54.44/54.72 cnf(c888,plain,set_intersection2(empty_set,X340)=empty_set,inference(resolution,status(thm),[c886, c38])).
% 54.44/54.72 cnf(c974,plain,disjoint(X351,set_intersection2(empty_set,X352)),inference(resolution,status(thm),[c888, c867])).
% 54.44/54.72 cnf(c1038,plain,disjoint(set_intersection2(empty_set,X354),X353),inference(resolution,status(thm),[c974, c20])).
% 54.44/54.72 cnf(c1040,plain,set_intersection2(set_intersection2(empty_set,X504),X503)=empty_set,inference(resolution,status(thm),[c1038, c38])).
% 54.44/54.72 cnf(c1421,plain,disjoint(set_intersection2(set_intersection2(empty_set,X515),X516),X514),inference(resolution,status(thm),[c1040, c1176])).
% 54.44/54.72 cnf(c1459,plain,set_intersection2(set_intersection2(set_intersection2(empty_set,X3039),X3037),X3038)=empty_set,inference(resolution,status(thm),[c1421, c38])).
% 54.44/54.72 cnf(transitivity,axiom,X42!=X43|X43!=X41|X42=X41,eq_axiom).
% 54.44/54.72 cnf(symmetry,axiom,X35!=X36|X36=X35,eq_axiom).
% 54.44/54.72 cnf(c885,plain,set_intersection2(X327,empty_set)=empty_set,inference(resolution,status(thm),[c883, c38])).
% 54.44/54.72 cnf(c896,plain,empty_set=set_intersection2(X360,empty_set),inference(resolution,status(thm),[c885, symmetry])).
% 54.44/54.72 cnf(c1083,plain,X804!=empty_set|X804=set_intersection2(X805,empty_set),inference(resolution,status(thm),[c896, transitivity])).
% 54.44/54.72 fof(t3_xboole_0,conjecture,(![A]:(![B]:((~((~disjoint(A,B))&(![C]:(~(in(C,A)&in(C,B))))))&(~((?[C]:(in(C,A)&in(C,B)))&disjoint(A,B)))))),input).
% 54.44/54.73 fof(c4,negated_conjecture,(~(![A]:(![B]:((~((~disjoint(A,B))&(![C]:(~(in(C,A)&in(C,B))))))&(~((?[C]:(in(C,A)&in(C,B)))&disjoint(A,B))))))),inference(assume_negation,status(cth),[t3_xboole_0])).
% 54.44/54.73 fof(c5,negated_conjecture,(~(![A]:(![B]:((~(~disjoint(A,B)&(![C]:(~(in(C,A)&in(C,B))))))&(~((?[C]:(in(C,A)&in(C,B)))&disjoint(A,B))))))),inference(fof_simplification,status(thm),[c4])).
% 54.44/54.73 fof(c6,negated_conjecture,(?[A]:(?[B]:((~disjoint(A,B)&(![C]:(~in(C,A)|~in(C,B))))|((?[C]:(in(C,A)&in(C,B)))&disjoint(A,B))))),inference(fof_nnf,status(thm),[c5])).
% 54.44/54.73 fof(c7,negated_conjecture,((?[A]:(?[B]:(~disjoint(A,B)&(![C]:(~in(C,A)|~in(C,B))))))|(?[A]:(?[B]:((?[C]:(in(C,A)&in(C,B)))&disjoint(A,B))))),inference(shift_quantors,status(thm),[c6])).
% 54.44/54.73 fof(c8,negated_conjecture,((?[X2]:(?[X3]:(~disjoint(X2,X3)&(![X4]:(~in(X4,X2)|~in(X4,X3))))))|(?[X5]:(?[X6]:((?[X7]:(in(X7,X5)&in(X7,X6)))&disjoint(X5,X6))))),inference(variable_rename,status(thm),[c7])).
% 54.44/54.73 fof(c10,negated_conjecture,(![X4]:((~disjoint(skolem0001,skolem0002)&(~in(X4,skolem0001)|~in(X4,skolem0002)))|((in(skolem0005,skolem0003)&in(skolem0005,skolem0004))&disjoint(skolem0003,skolem0004)))),inference(shift_quantors,status(thm),[fof(c9,negated_conjecture,((~disjoint(skolem0001,skolem0002)&(![X4]:(~in(X4,skolem0001)|~in(X4,skolem0002))))|((in(skolem0005,skolem0003)&in(skolem0005,skolem0004))&disjoint(skolem0003,skolem0004))),inference(skolemize,status(esa),[c8])).])).
% 54.44/54.73 fof(c11,negated_conjecture,(![X4]:((((~disjoint(skolem0001,skolem0002)|in(skolem0005,skolem0003))&(~disjoint(skolem0001,skolem0002)|in(skolem0005,skolem0004)))&(~disjoint(skolem0001,skolem0002)|disjoint(skolem0003,skolem0004)))&((((~in(X4,skolem0001)|~in(X4,skolem0002))|in(skolem0005,skolem0003))&((~in(X4,skolem0001)|~in(X4,skolem0002))|in(skolem0005,skolem0004)))&((~in(X4,skolem0001)|~in(X4,skolem0002))|disjoint(skolem0003,skolem0004))))),inference(distribute,status(thm),[c10])).
% 54.44/54.73 cnf(c14,negated_conjecture,~disjoint(skolem0001,skolem0002)|disjoint(skolem0003,skolem0004),inference(split_conjunct,status(thm),[c11])).
% 54.44/54.73 cnf(c156,plain,~in(X121,set_intersection2(X119,X120))|in(X121,X119),inference(resolution,status(thm),[c46, reflexivity])).
% 54.44/54.73 cnf(c782,plain,disjoint(X648,X649)|in(skolem0009(set_intersection2(X648,X649)),X648),inference(resolution,status(thm),[c116, c156])).
% 54.44/54.73 cnf(c17,negated_conjecture,~in(X100,skolem0001)|~in(X100,skolem0002)|disjoint(skolem0003,skolem0004),inference(split_conjunct,status(thm),[c11])).
% 54.44/54.73 cnf(c870,plain,disjoint(X5959,skolem0002)|~in(skolem0009(set_intersection2(X5959,skolem0002)),skolem0001)|disjoint(skolem0003,skolem0004),inference(resolution,status(thm),[c781, c17])).
% 54.44/54.73 cnf(c50247,plain,disjoint(skolem0001,skolem0002)|disjoint(skolem0003,skolem0004),inference(resolution,status(thm),[c870, c782])).
% 54.44/54.73 cnf(c50328,plain,disjoint(skolem0003,skolem0004),inference(resolution,status(thm),[c50247, c14])).
% 54.44/54.73 cnf(c50333,plain,set_intersection2(skolem0003,skolem0004)=empty_set,inference(resolution,status(thm),[c50328, c38])).
% 54.44/54.73 cnf(c50351,plain,set_intersection2(skolem0003,skolem0004)=set_intersection2(X6203,empty_set),inference(resolution,status(thm),[c50333, c1083])).
% 54.44/54.73 cnf(c54452,plain,~in(X6358,set_intersection2(skolem0003,skolem0004))|in(X6358,X6357),inference(resolution,status(thm),[c50351, c46])).
% 54.44/54.73 cnf(c12,negated_conjecture,~disjoint(skolem0001,skolem0002)|in(skolem0005,skolem0003),inference(split_conjunct,status(thm),[c11])).
% 54.44/54.73 cnf(c15,negated_conjecture,~in(X91,skolem0001)|~in(X91,skolem0002)|in(skolem0005,skolem0003),inference(split_conjunct,status(thm),[c11])).
% 54.44/54.73 cnf(c875,plain,disjoint(X5988,skolem0002)|~in(skolem0009(set_intersection2(X5988,skolem0002)),skolem0001)|in(skolem0005,skolem0003),inference(resolution,status(thm),[c781, c15])).
% 54.44/54.73 cnf(c50317,plain,disjoint(skolem0001,skolem0002)|in(skolem0005,skolem0003),inference(resolution,status(thm),[c875, c782])).
% 54.44/54.73 cnf(c51666,plain,in(skolem0005,skolem0003),inference(resolution,status(thm),[c50317, c12])).
% 54.44/54.73 cnf(c48,axiom,X124!=set_intersection2(X122,X123)|~in(X125,X122)|~in(X125,X123)|in(X125,X124),inference(split_conjunct,status(thm),[c45])).
% 54.44/54.73 cnf(c177,plain,~in(X569,X571)|~in(X569,X570)|in(X569,set_intersection2(X571,X570)),inference(resolution,status(thm),[c48, reflexivity])).
% 54.44/54.73 cnf(c13,negated_conjecture,~disjoint(skolem0001,skolem0002)|in(skolem0005,skolem0004),inference(split_conjunct,status(thm),[c11])).
% 54.44/54.73 cnf(c16,negated_conjecture,~in(X96,skolem0001)|~in(X96,skolem0002)|in(skolem0005,skolem0004),inference(split_conjunct,status(thm),[c11])).
% 54.44/54.73 cnf(c873,plain,disjoint(X5972,skolem0002)|~in(skolem0009(set_intersection2(X5972,skolem0002)),skolem0001)|in(skolem0005,skolem0004),inference(resolution,status(thm),[c781, c16])).
% 54.44/54.73 cnf(c50308,plain,disjoint(skolem0001,skolem0002)|in(skolem0005,skolem0004),inference(resolution,status(thm),[c873, c782])).
% 54.44/54.73 cnf(c51326,plain,in(skolem0005,skolem0004),inference(resolution,status(thm),[c50308, c13])).
% 54.44/54.73 cnf(c51371,plain,~in(skolem0005,X6883)|in(skolem0005,set_intersection2(X6883,skolem0004)),inference(resolution,status(thm),[c51326, c177])).
% 54.44/54.73 cnf(c64895,plain,in(skolem0005,set_intersection2(skolem0003,skolem0004)),inference(resolution,status(thm),[c51371, c51666])).
% 54.44/54.73 cnf(c64917,plain,in(skolem0005,X6885),inference(resolution,status(thm),[c64895, c54452])).
% 54.44/54.73 cnf(c64934,plain,X6891!=empty_set,inference(resolution,status(thm),[c64917, c58])).
% 54.44/54.73 cnf(c65356,plain,$false,inference(resolution,status(thm),[c64934, c1459])).
% 54.44/54.73 # SZS output end CNFRefutation
% 54.44/54.73
% 54.44/54.73 # Initial clauses : 32
% 54.44/54.73 # Processed clauses : 1140
% 54.44/54.73 # Factors computed : 51
% 54.44/54.73 # Resolvents computed: 65325
% 54.44/54.73 # Tautologies deleted: 27
% 54.44/54.73 # Forward subsumed : 3185
% 54.44/54.73 # Backward subsumed : 197
% 54.44/54.73 # -------- CPU Time ---------
% 54.44/54.73 # User time : 54.201 s
% 54.44/54.73 # System time : 0.146 s
% 54.44/54.73 # Total time : 54.347 s
%------------------------------------------------------------------------------