TSTP Solution File: SEU120+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SEU120+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n014.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 5.29s 5.49s
% Output : Refutation 5.29s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SEU120+1 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.11/0.33 % Computer : n014.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Sun Jun 19 23:40:03 EDT 2022
% 0.11/0.33 % CPUTime :
% 5.29/5.49 # Version: 1.3
% 5.29/5.49 # SZS status Theorem
% 5.29/5.49 # SZS output start CNFRefutation
% 5.29/5.49 fof(d7_xboole_0,axiom,(![A]:(![B]:(disjoint(A,B)<=>set_intersection2(A,B)=empty_set))),input).
% 5.29/5.49 fof(c32,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])).
% 5.29/5.49 fof(c33,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),[c32])).
% 5.29/5.49 fof(c35,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(c34,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),[c33])).])).
% 5.29/5.49 cnf(c36,axiom,~disjoint(X80,X81)|set_intersection2(X80,X81)=empty_set,inference(split_conjunct,status(thm),[c35])).
% 5.29/5.49 fof(t4_xboole_0,conjecture,(![A]:(![B]:((~((~disjoint(A,B))&(![C]:(~in(C,set_intersection2(A,B))))))&(~((?[C]:in(C,set_intersection2(A,B)))&disjoint(A,B)))))),input).
% 5.29/5.49 fof(c4,negated_conjecture,(~(![A]:(![B]:((~((~disjoint(A,B))&(![C]:(~in(C,set_intersection2(A,B))))))&(~((?[C]:in(C,set_intersection2(A,B)))&disjoint(A,B))))))),inference(assume_negation,status(cth),[t4_xboole_0])).
% 5.29/5.49 fof(c5,negated_conjecture,(~(![A]:(![B]:((~(~disjoint(A,B)&(![C]:~in(C,set_intersection2(A,B)))))&(~((?[C]:in(C,set_intersection2(A,B)))&disjoint(A,B))))))),inference(fof_simplification,status(thm),[c4])).
% 5.29/5.49 fof(c6,negated_conjecture,(?[A]:(?[B]:((~disjoint(A,B)&(![C]:~in(C,set_intersection2(A,B))))|((?[C]:in(C,set_intersection2(A,B)))&disjoint(A,B))))),inference(fof_nnf,status(thm),[c5])).
% 5.29/5.49 fof(c7,negated_conjecture,((?[A]:(?[B]:(~disjoint(A,B)&(![C]:~in(C,set_intersection2(A,B))))))|(?[A]:(?[B]:((?[C]:in(C,set_intersection2(A,B)))&disjoint(A,B))))),inference(shift_quantors,status(thm),[c6])).
% 5.29/5.49 fof(c8,negated_conjecture,((?[X2]:(?[X3]:(~disjoint(X2,X3)&(![X4]:~in(X4,set_intersection2(X2,X3))))))|(?[X5]:(?[X6]:((?[X7]:in(X7,set_intersection2(X5,X6)))&disjoint(X5,X6))))),inference(variable_rename,status(thm),[c7])).
% 5.29/5.49 fof(c10,negated_conjecture,(![X4]:((~disjoint(skolem0001,skolem0002)&~in(X4,set_intersection2(skolem0001,skolem0002)))|(in(skolem0005,set_intersection2(skolem0003,skolem0004))&disjoint(skolem0003,skolem0004)))),inference(shift_quantors,status(thm),[fof(c9,negated_conjecture,((~disjoint(skolem0001,skolem0002)&(![X4]:~in(X4,set_intersection2(skolem0001,skolem0002))))|(in(skolem0005,set_intersection2(skolem0003,skolem0004))&disjoint(skolem0003,skolem0004))),inference(skolemize,status(esa),[c8])).])).
% 5.29/5.49 fof(c11,negated_conjecture,(![X4]:(((~disjoint(skolem0001,skolem0002)|in(skolem0005,set_intersection2(skolem0003,skolem0004)))&(~disjoint(skolem0001,skolem0002)|disjoint(skolem0003,skolem0004)))&((~in(X4,set_intersection2(skolem0001,skolem0002))|in(skolem0005,set_intersection2(skolem0003,skolem0004)))&(~in(X4,set_intersection2(skolem0001,skolem0002))|disjoint(skolem0003,skolem0004))))),inference(distribute,status(thm),[c10])).
% 5.29/5.49 cnf(c13,negated_conjecture,~disjoint(skolem0001,skolem0002)|disjoint(skolem0003,skolem0004),inference(split_conjunct,status(thm),[c11])).
% 5.29/5.49 cnf(c15,negated_conjecture,~in(X87,set_intersection2(skolem0001,skolem0002))|disjoint(skolem0003,skolem0004),inference(split_conjunct,status(thm),[c11])).
% 5.29/5.49 fof(d1_xboole_0,axiom,(![A]:(A=empty_set<=>(![B]:(~in(B,A))))),input).
% 5.29/5.49 fof(c38,axiom,(![A]:(A=empty_set<=>(![B]:~in(B,A)))),inference(fof_simplification,status(thm),[d1_xboole_0])).
% 5.29/5.49 fof(c39,axiom,(![A]:((A!=empty_set|(![B]:~in(B,A)))&((?[B]:in(B,A))|A=empty_set))),inference(fof_nnf,status(thm),[c38])).
% 5.29/5.49 fof(c40,axiom,((![A]:(A!=empty_set|(![B]:~in(B,A))))&(![A]:((?[B]:in(B,A))|A=empty_set))),inference(shift_quantors,status(thm),[c39])).
% 5.29/5.49 fof(c41,axiom,((![X17]:(X17!=empty_set|(![X18]:~in(X18,X17))))&(![X19]:((?[X20]:in(X20,X19))|X19=empty_set))),inference(variable_rename,status(thm),[c40])).
% 5.29/5.49 fof(c43,axiom,(![X17]:(![X18]:(![X19]:((X17!=empty_set|~in(X18,X17))&(in(skolem0008(X19),X19)|X19=empty_set))))),inference(shift_quantors,status(thm),[fof(c42,axiom,((![X17]:(X17!=empty_set|(![X18]:~in(X18,X17))))&(![X19]:(in(skolem0008(X19),X19)|X19=empty_set))),inference(skolemize,status(esa),[c41])).])).
% 5.29/5.49 cnf(c45,axiom,in(skolem0008(X60),X60)|X60=empty_set,inference(split_conjunct,status(thm),[c43])).
% 5.29/5.49 cnf(c37,axiom,set_intersection2(X82,X83)!=empty_set|disjoint(X82,X83),inference(split_conjunct,status(thm),[c35])).
% 5.29/5.49 cnf(c100,plain,disjoint(X204,X205)|in(skolem0008(set_intersection2(X204,X205)),set_intersection2(X204,X205)),inference(resolution,status(thm),[c37, c45])).
% 5.29/5.49 cnf(c548,plain,disjoint(skolem0001,skolem0002)|disjoint(skolem0003,skolem0004),inference(resolution,status(thm),[c100, c15])).
% 5.29/5.49 cnf(c553,plain,disjoint(skolem0003,skolem0004),inference(resolution,status(thm),[c548, c13])).
% 5.29/5.49 cnf(c559,plain,set_intersection2(skolem0003,skolem0004)=empty_set,inference(resolution,status(thm),[c553, c36])).
% 5.29/5.49 cnf(c44,axiom,X42!=empty_set|~in(X41,X42),inference(split_conjunct,status(thm),[c43])).
% 5.29/5.49 cnf(c12,negated_conjecture,~disjoint(skolem0001,skolem0002)|in(skolem0005,set_intersection2(skolem0003,skolem0004)),inference(split_conjunct,status(thm),[c11])).
% 5.29/5.49 cnf(c14,negated_conjecture,~in(X84,set_intersection2(skolem0001,skolem0002))|in(skolem0005,set_intersection2(skolem0003,skolem0004)),inference(split_conjunct,status(thm),[c11])).
% 5.29/5.49 cnf(c546,plain,disjoint(skolem0001,skolem0002)|in(skolem0005,set_intersection2(skolem0003,skolem0004)),inference(resolution,status(thm),[c100, c14])).
% 5.29/5.49 cnf(c14334,plain,in(skolem0005,set_intersection2(skolem0003,skolem0004)),inference(resolution,status(thm),[c546, c12])).
% 5.29/5.49 cnf(c14340,plain,set_intersection2(skolem0003,skolem0004)!=empty_set,inference(resolution,status(thm),[c14334, c44])).
% 5.29/5.49 cnf(c14348,plain,$false,inference(resolution,status(thm),[c14340, c559])).
% 5.29/5.49 # SZS output end CNFRefutation
% 5.29/5.49
% 5.29/5.49 # Initial clauses : 24
% 5.29/5.49 # Processed clauses : 566
% 5.29/5.49 # Factors computed : 4
% 5.29/5.49 # Resolvents computed: 14300
% 5.29/5.49 # Tautologies deleted: 3
% 5.29/5.49 # Forward subsumed : 827
% 5.29/5.49 # Backward subsumed : 12
% 5.29/5.49 # -------- CPU Time ---------
% 5.29/5.49 # User time : 5.101 s
% 5.29/5.49 # System time : 0.040 s
% 5.29/5.49 # Total time : 5.141 s
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