TSTP Solution File: NUM383+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : NUM383+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n026.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 : Mon Jul 18 13:36:07 EDT 2022
% Result : Theorem 0.68s 0.90s
% Output : Refutation 0.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : NUM383+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n026.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 : Thu Jul 7 00:51:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.68/0.90 # Version: 1.3
% 0.68/0.90 # SZS status Theorem
% 0.68/0.90 # SZS output start CNFRefutation
% 0.68/0.90 fof(t7_ordinal1,conjecture,(![A]:(![B]:(~(in(A,B)&subset(B,A))))),input).
% 0.68/0.90 fof(c13,negated_conjecture,(~(![A]:(![B]:(~(in(A,B)&subset(B,A)))))),inference(assume_negation,status(cth),[t7_ordinal1])).
% 0.68/0.90 fof(c14,negated_conjecture,(?[A]:(?[B]:(in(A,B)&subset(B,A)))),inference(fof_nnf,status(thm),[c13])).
% 0.68/0.90 fof(c15,negated_conjecture,(?[X4]:(?[X5]:(in(X4,X5)&subset(X5,X4)))),inference(variable_rename,status(thm),[c14])).
% 0.68/0.90 fof(c16,negated_conjecture,(in(skolem0001,skolem0002)&subset(skolem0002,skolem0001)),inference(skolemize,status(esa),[c15])).
% 0.68/0.90 cnf(c17,negated_conjecture,in(skolem0001,skolem0002),inference(split_conjunct,status(thm),[c16])).
% 0.68/0.90 fof(t7_boole,axiom,(![A]:(![B]:(~(in(A,B)&empty(B))))),input).
% 0.68/0.90 fof(c19,axiom,(![A]:(![B]:(~in(A,B)|~empty(B)))),inference(fof_nnf,status(thm),[t7_boole])).
% 0.68/0.90 fof(c20,axiom,(![X6]:(![X7]:(~in(X6,X7)|~empty(X7)))),inference(variable_rename,status(thm),[c19])).
% 0.68/0.90 cnf(c21,axiom,~in(X74,X75)|~empty(X75),inference(split_conjunct,status(thm),[c20])).
% 0.68/0.90 cnf(c132,plain,~empty(skolem0002),inference(resolution,status(thm),[c21, c17])).
% 0.68/0.90 fof(existence_m1_subset_1,axiom,(![A]:(?[B]:element(B,A))),input).
% 0.68/0.90 fof(c96,axiom,(![X34]:(?[X35]:element(X35,X34))),inference(variable_rename,status(thm),[existence_m1_subset_1])).
% 0.68/0.90 fof(c97,axiom,(![X34]:element(skolem0013(X34),X34)),inference(skolemize,status(esa),[c96])).
% 0.68/0.90 cnf(c98,axiom,element(skolem0013(X59),X59),inference(split_conjunct,status(thm),[c97])).
% 0.68/0.90 fof(t2_subset,axiom,(![A]:(![B]:(element(A,B)=>(empty(B)|in(A,B))))),input).
% 0.68/0.90 fof(c37,axiom,(![A]:(![B]:(~element(A,B)|(empty(B)|in(A,B))))),inference(fof_nnf,status(thm),[t2_subset])).
% 0.68/0.90 fof(c38,axiom,(![X19]:(![X20]:(~element(X19,X20)|(empty(X20)|in(X19,X20))))),inference(variable_rename,status(thm),[c37])).
% 0.68/0.90 cnf(c39,axiom,~element(X111,X110)|empty(X110)|in(X111,X110),inference(split_conjunct,status(thm),[c38])).
% 0.68/0.90 cnf(c213,plain,empty(X151)|in(skolem0013(X151),X151),inference(resolution,status(thm),[c39, c98])).
% 0.68/0.90 cnf(c486,plain,in(skolem0013(skolem0002),skolem0002),inference(resolution,status(thm),[c213, c132])).
% 0.68/0.90 fof(t5_subset,axiom,(![A]:(![B]:(![C]:(~((in(A,B)&element(B,powerset(C)))&empty(C)))))),input).
% 0.68/0.90 fof(c25,axiom,(![A]:(![B]:(![C]:((~in(A,B)|~element(B,powerset(C)))|~empty(C))))),inference(fof_nnf,status(thm),[t5_subset])).
% 0.68/0.90 fof(c26,axiom,(![X9]:(![X10]:(![X11]:((~in(X9,X10)|~element(X10,powerset(X11)))|~empty(X11))))),inference(variable_rename,status(thm),[c25])).
% 0.68/0.90 cnf(c27,axiom,~in(X96,X98)|~element(X98,powerset(X97))|~empty(X97),inference(split_conjunct,status(thm),[c26])).
% 0.68/0.90 cnf(c18,negated_conjecture,subset(skolem0002,skolem0001),inference(split_conjunct,status(thm),[c16])).
% 0.68/0.90 fof(t3_subset,axiom,(![A]:(![B]:(element(A,powerset(B))<=>subset(A,B)))),input).
% 0.68/0.90 fof(c31,axiom,(![A]:(![B]:((~element(A,powerset(B))|subset(A,B))&(~subset(A,B)|element(A,powerset(B)))))),inference(fof_nnf,status(thm),[t3_subset])).
% 0.68/0.90 fof(c32,axiom,((![A]:(![B]:(~element(A,powerset(B))|subset(A,B))))&(![A]:(![B]:(~subset(A,B)|element(A,powerset(B)))))),inference(shift_quantors,status(thm),[c31])).
% 0.68/0.90 fof(c34,axiom,(![X15]:(![X16]:(![X17]:(![X18]:((~element(X15,powerset(X16))|subset(X15,X16))&(~subset(X17,X18)|element(X17,powerset(X18)))))))),inference(shift_quantors,status(thm),[fof(c33,axiom,((![X15]:(![X16]:(~element(X15,powerset(X16))|subset(X15,X16))))&(![X17]:(![X18]:(~subset(X17,X18)|element(X17,powerset(X18)))))),inference(variable_rename,status(thm),[c32])).])).
% 0.68/0.90 cnf(c36,axiom,~subset(X104,X105)|element(X104,powerset(X105)),inference(split_conjunct,status(thm),[c34])).
% 0.68/0.90 cnf(c206,plain,element(skolem0002,powerset(skolem0001)),inference(resolution,status(thm),[c36, c18])).
% 0.68/0.90 cnf(c337,plain,~in(X153,skolem0002)|~empty(skolem0001),inference(resolution,status(thm),[c206, c27])).
% 0.68/0.90 cnf(c562,plain,~empty(skolem0001),inference(resolution,status(thm),[c337, c486])).
% 0.68/0.90 fof(t4_subset,axiom,(![A]:(![B]:(![C]:((in(A,B)&element(B,powerset(C)))=>element(A,C))))),input).
% 0.68/0.90 fof(c28,axiom,(![A]:(![B]:(![C]:((~in(A,B)|~element(B,powerset(C)))|element(A,C))))),inference(fof_nnf,status(thm),[t4_subset])).
% 0.68/0.90 fof(c29,axiom,(![X12]:(![X13]:(![X14]:((~in(X12,X13)|~element(X13,powerset(X14)))|element(X12,X14))))),inference(variable_rename,status(thm),[c28])).
% 0.68/0.90 cnf(c30,axiom,~in(X99,X101)|~element(X101,powerset(X100))|element(X99,X100),inference(split_conjunct,status(thm),[c29])).
% 0.68/0.90 cnf(c335,plain,~in(X188,skolem0002)|element(X188,skolem0001),inference(resolution,status(thm),[c206, c30])).
% 0.68/0.90 cnf(c789,plain,element(skolem0001,skolem0001),inference(resolution,status(thm),[c335, c17])).
% 0.68/0.90 cnf(c793,plain,empty(skolem0001)|in(skolem0001,skolem0001),inference(resolution,status(thm),[c789, c39])).
% 0.68/0.90 cnf(c1084,plain,in(skolem0001,skolem0001),inference(resolution,status(thm),[c793, c562])).
% 0.68/0.90 fof(antisymmetry_r2_hidden,axiom,(![A]:(![B]:(in(A,B)=>(~in(B,A))))),input).
% 0.68/0.90 fof(c111,axiom,(![A]:(![B]:(in(A,B)=>~in(B,A)))),inference(fof_simplification,status(thm),[antisymmetry_r2_hidden])).
% 0.68/0.90 fof(c112,axiom,(![A]:(![B]:(~in(A,B)|~in(B,A)))),inference(fof_nnf,status(thm),[c111])).
% 0.68/0.90 fof(c113,axiom,(![X39]:(![X40]:(~in(X39,X40)|~in(X40,X39)))),inference(variable_rename,status(thm),[c112])).
% 0.68/0.90 cnf(c114,axiom,~in(X91,X92)|~in(X92,X91),inference(split_conjunct,status(thm),[c113])).
% 0.68/0.90 cnf(c1097,plain,~in(skolem0001,skolem0001),inference(resolution,status(thm),[c1084, c114])).
% 0.68/0.90 cnf(c1100,plain,$false,inference(resolution,status(thm),[c1097, c1084])).
% 0.68/0.90 # SZS output end CNFRefutation
% 0.68/0.90
% 0.68/0.90 # Initial clauses : 60
% 0.68/0.90 # Processed clauses : 318
% 0.68/0.90 # Factors computed : 0
% 0.68/0.90 # Resolvents computed: 986
% 0.68/0.90 # Tautologies deleted: 11
% 0.68/0.90 # Forward subsumed : 286
% 0.68/0.90 # Backward subsumed : 20
% 0.68/0.90 # -------- CPU Time ---------
% 0.68/0.90 # User time : 0.551 s
% 0.68/0.90 # System time : 0.014 s
% 0.68/0.90 # Total time : 0.565 s
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