TSTP Solution File: SET902+1 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SET902+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n019.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 04:41:11 EDT 2022
% Result : Theorem 4.61s 4.78s
% Output : Refutation 4.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET902+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jul 10 02:22:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 4.61/4.78 # Version: 1.3
% 4.61/4.78 # SZS status Theorem
% 4.61/4.78 # SZS output start CNFRefutation
% 4.61/4.78 fof(t43_zfmisc_1,conjecture,(![A]:(![B]:(![C]:(~(((singleton(A)=set_union2(B,C)&(~(B=singleton(A)&C=singleton(A))))&(~(B=empty_set&C=singleton(A))))&(~(B=singleton(A)&C=empty_set))))))),input).
% 4.61/4.78 fof(c6,negated_conjecture,(~(![A]:(![B]:(![C]:(~(((singleton(A)=set_union2(B,C)&(~(B=singleton(A)&C=singleton(A))))&(~(B=empty_set&C=singleton(A))))&(~(B=singleton(A)&C=empty_set)))))))),inference(assume_negation,status(cth),[t43_zfmisc_1])).
% 4.61/4.78 fof(c7,negated_conjecture,(?[A]:(?[B]:(?[C]:(((singleton(A)=set_union2(B,C)&(B!=singleton(A)|C!=singleton(A)))&(B!=empty_set|C!=singleton(A)))&(B!=singleton(A)|C!=empty_set))))),inference(fof_nnf,status(thm),[c6])).
% 4.61/4.78 fof(c8,negated_conjecture,(?[X4]:(?[X5]:(?[X6]:(((singleton(X4)=set_union2(X5,X6)&(X5!=singleton(X4)|X6!=singleton(X4)))&(X5!=empty_set|X6!=singleton(X4)))&(X5!=singleton(X4)|X6!=empty_set))))),inference(variable_rename,status(thm),[c7])).
% 4.61/4.78 fof(c9,negated_conjecture,(((singleton(skolem0001)=set_union2(skolem0002,skolem0003)&(skolem0002!=singleton(skolem0001)|skolem0003!=singleton(skolem0001)))&(skolem0002!=empty_set|skolem0003!=singleton(skolem0001)))&(skolem0002!=singleton(skolem0001)|skolem0003!=empty_set)),inference(skolemize,status(esa),[c8])).
% 4.61/4.78 cnf(c13,negated_conjecture,skolem0002!=singleton(skolem0001)|skolem0003!=empty_set,inference(split_conjunct,status(thm),[c9])).
% 4.61/4.78 fof(l4_zfmisc_1,axiom,(![A]:(![B]:(subset(A,singleton(B))<=>(A=empty_set|A=singleton(B))))),input).
% 4.61/4.78 fof(c24,axiom,(![A]:(![B]:((~subset(A,singleton(B))|(A=empty_set|A=singleton(B)))&((A!=empty_set&A!=singleton(B))|subset(A,singleton(B)))))),inference(fof_nnf,status(thm),[l4_zfmisc_1])).
% 4.61/4.78 fof(c25,axiom,((![A]:(![B]:(~subset(A,singleton(B))|(A=empty_set|A=singleton(B)))))&(![A]:(![B]:((A!=empty_set&A!=singleton(B))|subset(A,singleton(B)))))),inference(shift_quantors,status(thm),[c24])).
% 4.61/4.78 fof(c27,axiom,(![X10]:(![X11]:(![X12]:(![X13]:((~subset(X10,singleton(X11))|(X10=empty_set|X10=singleton(X11)))&((X12!=empty_set&X12!=singleton(X13))|subset(X12,singleton(X13)))))))),inference(shift_quantors,status(thm),[fof(c26,axiom,((![X10]:(![X11]:(~subset(X10,singleton(X11))|(X10=empty_set|X10=singleton(X11)))))&(![X12]:(![X13]:((X12!=empty_set&X12!=singleton(X13))|subset(X12,singleton(X13)))))),inference(variable_rename,status(thm),[c25])).])).
% 4.61/4.78 fof(c28,axiom,(![X10]:(![X11]:(![X12]:(![X13]:((~subset(X10,singleton(X11))|(X10=empty_set|X10=singleton(X11)))&((X12!=empty_set|subset(X12,singleton(X13)))&(X12!=singleton(X13)|subset(X12,singleton(X13))))))))),inference(distribute,status(thm),[c27])).
% 4.61/4.78 cnf(c29,axiom,~subset(X93,singleton(X92))|X93=empty_set|X93=singleton(X92),inference(split_conjunct,status(thm),[c28])).
% 4.61/4.78 cnf(reflexivity,axiom,X22=X22,eq_axiom).
% 4.61/4.78 cnf(symmetry,axiom,X24!=X25|X25=X24,eq_axiom).
% 4.61/4.78 cnf(c10,negated_conjecture,singleton(skolem0001)=set_union2(skolem0002,skolem0003),inference(split_conjunct,status(thm),[c9])).
% 4.61/4.78 cnf(c89,plain,set_union2(skolem0002,skolem0003)=singleton(skolem0001),inference(resolution,status(thm),[c10, symmetry])).
% 4.61/4.78 fof(t7_xboole_1,axiom,(![A]:(![B]:subset(A,set_union2(A,B)))),input).
% 4.61/4.78 fof(c4,axiom,(![X2]:(![X3]:subset(X2,set_union2(X2,X3)))),inference(variable_rename,status(thm),[t7_xboole_1])).
% 4.61/4.78 cnf(c5,axiom,subset(X28,set_union2(X28,X27)),inference(split_conjunct,status(thm),[c4])).
% 4.61/4.78 cnf(c3,plain,X57!=X56|X54!=X55|~subset(X57,X54)|subset(X56,X55),eq_axiom).
% 4.61/4.78 cnf(c75,plain,X129!=X127|set_union2(X129,X130)!=X128|subset(X127,X128),inference(resolution,status(thm),[c3, c5])).
% 4.61/4.78 cnf(c230,plain,skolem0002!=X159|subset(X159,singleton(skolem0001)),inference(resolution,status(thm),[c75, c89])).
% 4.61/4.78 cnf(c285,plain,subset(skolem0002,singleton(skolem0001)),inference(resolution,status(thm),[c230, reflexivity])).
% 4.61/4.78 cnf(c289,plain,skolem0002=empty_set|skolem0002=singleton(skolem0001),inference(resolution,status(thm),[c285, c29])).
% 4.61/4.78 cnf(c1472,plain,skolem0002=empty_set|skolem0003!=empty_set,inference(resolution,status(thm),[c289, c13])).
% 4.61/4.78 cnf(c11,negated_conjecture,skolem0002!=singleton(skolem0001)|skolem0003!=singleton(skolem0001),inference(split_conjunct,status(thm),[c9])).
% 4.61/4.78 cnf(transitivity,axiom,X32!=X34|X34!=X33|X32=X33,eq_axiom).
% 4.61/4.78 fof(commutativity_k2_xboole_0,axiom,(![A]:(![B]:set_union2(A,B)=set_union2(B,A))),input).
% 4.61/4.78 fof(c50,axiom,(![X20]:(![X21]:set_union2(X20,X21)=set_union2(X21,X20))),inference(variable_rename,status(thm),[commutativity_k2_xboole_0])).
% 4.61/4.78 cnf(c51,axiom,set_union2(X59,X58)=set_union2(X58,X59),inference(split_conjunct,status(thm),[c50])).
% 4.61/4.78 cnf(c81,plain,X164!=set_union2(X163,X162)|X164=set_union2(X162,X163),inference(resolution,status(thm),[c51, transitivity])).
% 4.61/4.78 cnf(c300,plain,singleton(skolem0001)=set_union2(skolem0003,skolem0002),inference(resolution,status(thm),[c81, c10])).
% 4.61/4.78 cnf(c308,plain,set_union2(skolem0003,skolem0002)=singleton(skolem0001),inference(resolution,status(thm),[c300, symmetry])).
% 4.61/4.78 cnf(c340,plain,skolem0003!=X179|subset(X179,singleton(skolem0001)),inference(resolution,status(thm),[c308, c75])).
% 4.61/4.78 cnf(c345,plain,subset(skolem0003,singleton(skolem0001)),inference(resolution,status(thm),[c340, reflexivity])).
% 4.61/4.78 cnf(c349,plain,skolem0003=empty_set|skolem0003=singleton(skolem0001),inference(resolution,status(thm),[c345, c29])).
% 4.61/4.78 cnf(c1565,plain,skolem0003=empty_set|skolem0002!=singleton(skolem0001),inference(resolution,status(thm),[c349, c11])).
% 4.61/4.78 cnf(c3656,plain,skolem0003=empty_set|skolem0002=empty_set,inference(resolution,status(thm),[c1565, c289])).
% 4.61/4.78 cnf(c3674,plain,skolem0002=empty_set,inference(resolution,status(thm),[c3656, c1472])).
% 4.61/4.78 cnf(c12,negated_conjecture,skolem0002!=empty_set|skolem0003!=singleton(skolem0001),inference(split_conjunct,status(thm),[c9])).
% 4.61/4.78 cnf(c178,plain,X539!=set_union2(skolem0002,skolem0003)|X539=singleton(skolem0001),inference(resolution,status(thm),[c89, transitivity])).
% 4.61/4.78 fof(idempotence_k2_xboole_0,axiom,(![A]:(![B]:set_union2(A,A)=A)),input).
% 4.61/4.78 fof(c34,axiom,(![A]:set_union2(A,A)=A),inference(fof_simplification,status(thm),[idempotence_k2_xboole_0])).
% 4.61/4.78 fof(c35,axiom,(![X15]:set_union2(X15,X15)=X15),inference(variable_rename,status(thm),[c34])).
% 4.61/4.78 cnf(c36,axiom,set_union2(X30,X30)=X30,inference(split_conjunct,status(thm),[c35])).
% 4.61/4.78 cnf(c55,plain,X66!=set_union2(X65,X65)|X66=X65,inference(resolution,status(thm),[transitivity, c36])).
% 4.61/4.78 cnf(c0,plain,X47!=X46|X44!=X45|set_union2(X47,X44)=set_union2(X46,X45),eq_axiom).
% 4.61/4.78 cnf(c62,plain,X112!=X110|set_union2(X112,X111)=set_union2(X110,X111),inference(resolution,status(thm),[c0, reflexivity])).
% 4.61/4.78 cnf(c1546,plain,skolem0003=singleton(skolem0001)|empty_set=skolem0003,inference(resolution,status(thm),[c349, symmetry])).
% 4.61/4.78 cnf(c3527,plain,empty_set=skolem0003|skolem0002!=empty_set,inference(resolution,status(thm),[c1546, c12])).
% 4.61/4.78 cnf(c3734,plain,empty_set=skolem0003,inference(resolution,status(thm),[c3674, c3527])).
% 4.61/4.78 cnf(c3877,plain,X845!=empty_set|X845=skolem0003,inference(resolution,status(thm),[c3734, transitivity])).
% 4.61/4.78 cnf(c4428,plain,skolem0002=skolem0003,inference(resolution,status(thm),[c3877, c3674])).
% 4.61/4.78 cnf(c4466,plain,set_union2(skolem0002,X1287)=set_union2(skolem0003,X1287),inference(resolution,status(thm),[c4428, c62])).
% 4.61/4.78 cnf(c11340,plain,set_union2(skolem0002,skolem0003)=skolem0003,inference(resolution,status(thm),[c4466, c55])).
% 4.61/4.78 cnf(c11446,plain,skolem0003=set_union2(skolem0002,skolem0003),inference(resolution,status(thm),[c11340, symmetry])).
% 4.61/4.78 cnf(c11536,plain,skolem0003=singleton(skolem0001),inference(resolution,status(thm),[c11446, c178])).
% 4.61/4.78 cnf(c11561,plain,skolem0002!=empty_set,inference(resolution,status(thm),[c11536, c12])).
% 4.61/4.78 cnf(c11601,plain,$false,inference(resolution,status(thm),[c11561, c3674])).
% 4.61/4.78 # SZS output end CNFRefutation
% 4.61/4.78
% 4.61/4.78 # Initial clauses : 24
% 4.61/4.78 # Processed clauses : 519
% 4.61/4.78 # Factors computed : 0
% 4.61/4.78 # Resolvents computed: 11550
% 4.61/4.78 # Tautologies deleted: 3
% 4.61/4.78 # Forward subsumed : 950
% 4.61/4.78 # Backward subsumed : 40
% 4.61/4.78 # -------- CPU Time ---------
% 4.61/4.78 # User time : 4.409 s
% 4.61/4.78 # System time : 0.036 s
% 4.61/4.78 # Total time : 4.445 s
%------------------------------------------------------------------------------