TSTP Solution File: SEU155+1 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SEU155+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n004.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 13:36:00 EDT 2022
% Result : Theorem 0.38s 0.59s
% Output : Refutation 0.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU155+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n004.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 : Mon Jun 20 11:52:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.38/0.59 # Version: 1.3
% 0.38/0.59 # SZS status Theorem
% 0.38/0.59 # SZS output start CNFRefutation
% 0.38/0.59 fof(l50_zfmisc_1,conjecture,(![A]:(![B]:(in(A,B)=>subset(A,union(B))))),input).
% 0.38/0.59 fof(c6,negated_conjecture,(~(![A]:(![B]:(in(A,B)=>subset(A,union(B)))))),inference(assume_negation,status(cth),[l50_zfmisc_1])).
% 0.38/0.59 fof(c7,negated_conjecture,(?[A]:(?[B]:(in(A,B)&~subset(A,union(B))))),inference(fof_nnf,status(thm),[c6])).
% 0.38/0.59 fof(c8,negated_conjecture,(?[X3]:(?[X4]:(in(X3,X4)&~subset(X3,union(X4))))),inference(variable_rename,status(thm),[c7])).
% 0.38/0.59 fof(c9,negated_conjecture,(in(skolem0001,skolem0002)&~subset(skolem0001,union(skolem0002))),inference(skolemize,status(esa),[c8])).
% 0.38/0.59 cnf(c11,negated_conjecture,~subset(skolem0001,union(skolem0002)),inference(split_conjunct,status(thm),[c9])).
% 0.38/0.59 fof(d3_tarski,axiom,(![A]:(![B]:(subset(A,B)<=>(![C]:(in(C,A)=>in(C,B)))))),input).
% 0.38/0.59 fof(c25,axiom,(![A]:(![B]:((~subset(A,B)|(![C]:(~in(C,A)|in(C,B))))&((?[C]:(in(C,A)&~in(C,B)))|subset(A,B))))),inference(fof_nnf,status(thm),[d3_tarski])).
% 0.38/0.59 fof(c26,axiom,((![A]:(![B]:(~subset(A,B)|(![C]:(~in(C,A)|in(C,B))))))&(![A]:(![B]:((?[C]:(in(C,A)&~in(C,B)))|subset(A,B))))),inference(shift_quantors,status(thm),[c25])).
% 0.38/0.59 fof(c27,axiom,((![X16]:(![X17]:(~subset(X16,X17)|(![X18]:(~in(X18,X16)|in(X18,X17))))))&(![X19]:(![X20]:((?[X21]:(in(X21,X19)&~in(X21,X20)))|subset(X19,X20))))),inference(variable_rename,status(thm),[c26])).
% 0.38/0.59 fof(c29,axiom,(![X16]:(![X17]:(![X18]:(![X19]:(![X20]:((~subset(X16,X17)|(~in(X18,X16)|in(X18,X17)))&((in(skolem0006(X19,X20),X19)&~in(skolem0006(X19,X20),X20))|subset(X19,X20)))))))),inference(shift_quantors,status(thm),[fof(c28,axiom,((![X16]:(![X17]:(~subset(X16,X17)|(![X18]:(~in(X18,X16)|in(X18,X17))))))&(![X19]:(![X20]:((in(skolem0006(X19,X20),X19)&~in(skolem0006(X19,X20),X20))|subset(X19,X20))))),inference(skolemize,status(esa),[c27])).])).
% 0.38/0.59 fof(c30,axiom,(![X16]:(![X17]:(![X18]:(![X19]:(![X20]:((~subset(X16,X17)|(~in(X18,X16)|in(X18,X17)))&((in(skolem0006(X19,X20),X19)|subset(X19,X20))&(~in(skolem0006(X19,X20),X20)|subset(X19,X20))))))))),inference(distribute,status(thm),[c29])).
% 0.38/0.59 cnf(c33,axiom,~in(skolem0006(X42,X41),X41)|subset(X42,X41),inference(split_conjunct,status(thm),[c30])).
% 0.38/0.59 cnf(c32,axiom,in(skolem0006(X40,X39),X40)|subset(X40,X39),inference(split_conjunct,status(thm),[c30])).
% 0.38/0.59 cnf(c43,plain,in(skolem0006(skolem0001,union(skolem0002)),skolem0001),inference(resolution,status(thm),[c32, c11])).
% 0.38/0.59 cnf(c10,negated_conjecture,in(skolem0001,skolem0002),inference(split_conjunct,status(thm),[c9])).
% 0.38/0.59 cnf(reflexivity,axiom,X24=X24,eq_axiom).
% 0.38/0.59 fof(d4_tarski,axiom,(![A]:(![B]:(B=union(A)<=>(![C]:(in(C,B)<=>(?[D]:(in(C,D)&in(D,A)))))))),input).
% 0.38/0.59 fof(c13,axiom,(![A]:(![B]:((B!=union(A)|(![C]:((~in(C,B)|(?[D]:(in(C,D)&in(D,A))))&((![D]:(~in(C,D)|~in(D,A)))|in(C,B)))))&((?[C]:((~in(C,B)|(![D]:(~in(C,D)|~in(D,A))))&(in(C,B)|(?[D]:(in(C,D)&in(D,A))))))|B=union(A))))),inference(fof_nnf,status(thm),[d4_tarski])).
% 0.38/0.59 fof(c14,axiom,((![A]:(![B]:(B!=union(A)|((![C]:(~in(C,B)|(?[D]:(in(C,D)&in(D,A)))))&(![C]:((![D]:(~in(C,D)|~in(D,A)))|in(C,B)))))))&(![A]:(![B]:((?[C]:((~in(C,B)|(![D]:(~in(C,D)|~in(D,A))))&(in(C,B)|(?[D]:(in(C,D)&in(D,A))))))|B=union(A))))),inference(shift_quantors,status(thm),[c13])).
% 0.38/0.59 fof(c15,axiom,((![X5]:(![X6]:(X6!=union(X5)|((![X7]:(~in(X7,X6)|(?[X8]:(in(X7,X8)&in(X8,X5)))))&(![X9]:((![X10]:(~in(X9,X10)|~in(X10,X5)))|in(X9,X6)))))))&(![X11]:(![X12]:((?[X13]:((~in(X13,X12)|(![X14]:(~in(X13,X14)|~in(X14,X11))))&(in(X13,X12)|(?[X15]:(in(X13,X15)&in(X15,X11))))))|X12=union(X11))))),inference(variable_rename,status(thm),[c14])).
% 0.38/0.59 fof(c17,axiom,(![X5]:(![X6]:(![X7]:(![X9]:(![X10]:(![X11]:(![X12]:(![X14]:((X6!=union(X5)|((~in(X7,X6)|(in(X7,skolem0003(X5,X6,X7))&in(skolem0003(X5,X6,X7),X5)))&((~in(X9,X10)|~in(X10,X5))|in(X9,X6))))&(((~in(skolem0004(X11,X12),X12)|(~in(skolem0004(X11,X12),X14)|~in(X14,X11)))&(in(skolem0004(X11,X12),X12)|(in(skolem0004(X11,X12),skolem0005(X11,X12))&in(skolem0005(X11,X12),X11))))|X12=union(X11))))))))))),inference(shift_quantors,status(thm),[fof(c16,axiom,((![X5]:(![X6]:(X6!=union(X5)|((![X7]:(~in(X7,X6)|(in(X7,skolem0003(X5,X6,X7))&in(skolem0003(X5,X6,X7),X5))))&(![X9]:((![X10]:(~in(X9,X10)|~in(X10,X5)))|in(X9,X6)))))))&(![X11]:(![X12]:(((~in(skolem0004(X11,X12),X12)|(![X14]:(~in(skolem0004(X11,X12),X14)|~in(X14,X11))))&(in(skolem0004(X11,X12),X12)|(in(skolem0004(X11,X12),skolem0005(X11,X12))&in(skolem0005(X11,X12),X11))))|X12=union(X11))))),inference(skolemize,status(esa),[c15])).])).
% 0.38/0.59 fof(c18,axiom,(![X5]:(![X6]:(![X7]:(![X9]:(![X10]:(![X11]:(![X12]:(![X14]:((((X6!=union(X5)|(~in(X7,X6)|in(X7,skolem0003(X5,X6,X7))))&(X6!=union(X5)|(~in(X7,X6)|in(skolem0003(X5,X6,X7),X5))))&(X6!=union(X5)|((~in(X9,X10)|~in(X10,X5))|in(X9,X6))))&(((~in(skolem0004(X11,X12),X12)|(~in(skolem0004(X11,X12),X14)|~in(X14,X11)))|X12=union(X11))&(((in(skolem0004(X11,X12),X12)|in(skolem0004(X11,X12),skolem0005(X11,X12)))|X12=union(X11))&((in(skolem0004(X11,X12),X12)|in(skolem0005(X11,X12),X11))|X12=union(X11))))))))))))),inference(distribute,status(thm),[c17])).
% 0.38/0.59 cnf(c21,axiom,X82!=union(X81)|~in(X83,X80)|~in(X80,X81)|in(X83,X82),inference(split_conjunct,status(thm),[c18])).
% 0.38/0.59 cnf(c81,plain,~in(X88,X86)|~in(X86,X87)|in(X88,union(X87)),inference(resolution,status(thm),[c21, reflexivity])).
% 0.38/0.59 cnf(c82,plain,~in(X89,skolem0001)|in(X89,union(skolem0002)),inference(resolution,status(thm),[c81, c10])).
% 0.38/0.59 cnf(c89,plain,in(skolem0006(skolem0001,union(skolem0002)),union(skolem0002)),inference(resolution,status(thm),[c82, c43])).
% 0.38/0.59 cnf(c95,plain,subset(skolem0001,union(skolem0002)),inference(resolution,status(thm),[c89, c33])).
% 0.38/0.59 cnf(c96,plain,$false,inference(resolution,status(thm),[c95, c11])).
% 0.38/0.59 # SZS output end CNFRefutation
% 0.38/0.59
% 0.38/0.59 # Initial clauses : 20
% 0.38/0.59 # Processed clauses : 38
% 0.38/0.59 # Factors computed : 0
% 0.38/0.59 # Resolvents computed: 61
% 0.38/0.59 # Tautologies deleted: 1
% 0.38/0.59 # Forward subsumed : 9
% 0.38/0.59 # Backward subsumed : 0
% 0.38/0.59 # -------- CPU Time ---------
% 0.38/0.59 # User time : 0.228 s
% 0.38/0.59 # System time : 0.022 s
% 0.38/0.59 # Total time : 0.250 s
%------------------------------------------------------------------------------