TSTP Solution File: SET882+1 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SET882+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n025.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 04:41:04 EDT 2022
% Result : Theorem 0.54s 0.70s
% Output : Refutation 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET882+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.33 % Computer : n025.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jul 11 09:00:17 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.54/0.70 # Version: 1.3
% 0.54/0.70 # SZS status Theorem
% 0.54/0.70 # SZS output start CNFRefutation
% 0.54/0.70 fof(t23_zfmisc_1,conjecture,(![A]:(![B]:(A!=B=>set_difference(unordered_pair(A,B),singleton(B))=singleton(A)))),input).
% 0.54/0.70 fof(c5,negated_conjecture,(~(![A]:(![B]:(A!=B=>set_difference(unordered_pair(A,B),singleton(B))=singleton(A))))),inference(assume_negation,status(cth),[t23_zfmisc_1])).
% 0.54/0.70 fof(c6,negated_conjecture,(?[A]:(?[B]:(A!=B&set_difference(unordered_pair(A,B),singleton(B))!=singleton(A)))),inference(fof_nnf,status(thm),[c5])).
% 0.54/0.70 fof(c7,negated_conjecture,(?[X2]:(?[X3]:(X2!=X3&set_difference(unordered_pair(X2,X3),singleton(X3))!=singleton(X2)))),inference(variable_rename,status(thm),[c6])).
% 0.54/0.70 fof(c8,negated_conjecture,(skolem0001!=skolem0002&set_difference(unordered_pair(skolem0001,skolem0002),singleton(skolem0002))!=singleton(skolem0001)),inference(skolemize,status(esa),[c7])).
% 0.54/0.70 cnf(c9,negated_conjecture,skolem0001!=skolem0002,inference(split_conjunct,status(thm),[c8])).
% 0.54/0.70 cnf(reflexivity,axiom,X23=X23,eq_axiom).
% 0.54/0.70 fof(d1_tarski,axiom,(![A]:(![B]:(B=singleton(A)<=>(![C]:(in(C,B)<=>C=A))))),input).
% 0.54/0.70 fof(c28,axiom,(![A]:(![B]:((B!=singleton(A)|(![C]:((~in(C,B)|C=A)&(C!=A|in(C,B)))))&((?[C]:((~in(C,B)|C!=A)&(in(C,B)|C=A)))|B=singleton(A))))),inference(fof_nnf,status(thm),[d1_tarski])).
% 0.54/0.70 fof(c29,axiom,((![A]:(![B]:(B!=singleton(A)|((![C]:(~in(C,B)|C=A))&(![C]:(C!=A|in(C,B)))))))&(![A]:(![B]:((?[C]:((~in(C,B)|C!=A)&(in(C,B)|C=A)))|B=singleton(A))))),inference(shift_quantors,status(thm),[c28])).
% 0.54/0.70 fof(c30,axiom,((![X12]:(![X13]:(X13!=singleton(X12)|((![X14]:(~in(X14,X13)|X14=X12))&(![X15]:(X15!=X12|in(X15,X13)))))))&(![X16]:(![X17]:((?[X18]:((~in(X18,X17)|X18!=X16)&(in(X18,X17)|X18=X16)))|X17=singleton(X16))))),inference(variable_rename,status(thm),[c29])).
% 0.54/0.70 fof(c32,axiom,(![X12]:(![X13]:(![X14]:(![X15]:(![X16]:(![X17]:((X13!=singleton(X12)|((~in(X14,X13)|X14=X12)&(X15!=X12|in(X15,X13))))&(((~in(skolem0005(X16,X17),X17)|skolem0005(X16,X17)!=X16)&(in(skolem0005(X16,X17),X17)|skolem0005(X16,X17)=X16))|X17=singleton(X16))))))))),inference(shift_quantors,status(thm),[fof(c31,axiom,((![X12]:(![X13]:(X13!=singleton(X12)|((![X14]:(~in(X14,X13)|X14=X12))&(![X15]:(X15!=X12|in(X15,X13)))))))&(![X16]:(![X17]:(((~in(skolem0005(X16,X17),X17)|skolem0005(X16,X17)!=X16)&(in(skolem0005(X16,X17),X17)|skolem0005(X16,X17)=X16))|X17=singleton(X16))))),inference(skolemize,status(esa),[c30])).])).
% 0.54/0.70 fof(c33,axiom,(![X12]:(![X13]:(![X14]:(![X15]:(![X16]:(![X17]:(((X13!=singleton(X12)|(~in(X14,X13)|X14=X12))&(X13!=singleton(X12)|(X15!=X12|in(X15,X13))))&(((~in(skolem0005(X16,X17),X17)|skolem0005(X16,X17)!=X16)|X17=singleton(X16))&((in(skolem0005(X16,X17),X17)|skolem0005(X16,X17)=X16)|X17=singleton(X16)))))))))),inference(distribute,status(thm),[c32])).
% 0.54/0.70 cnf(c34,axiom,X54!=singleton(X55)|~in(X56,X54)|X56=X55,inference(split_conjunct,status(thm),[c33])).
% 0.54/0.70 cnf(c56,plain,~in(X58,singleton(X57))|X58=X57,inference(resolution,status(thm),[c34, reflexivity])).
% 0.54/0.70 cnf(c10,negated_conjecture,set_difference(unordered_pair(skolem0001,skolem0002),singleton(skolem0002))!=singleton(skolem0001),inference(split_conjunct,status(thm),[c8])).
% 0.54/0.70 cnf(c35,axiom,X59!=singleton(X60)|X61!=X60|in(X61,X59),inference(split_conjunct,status(thm),[c33])).
% 0.54/0.70 cnf(c57,plain,X62!=X63|in(X62,singleton(X63)),inference(resolution,status(thm),[c35, reflexivity])).
% 0.54/0.70 cnf(c58,plain,in(X64,singleton(X64)),inference(resolution,status(thm),[c57, reflexivity])).
% 0.54/0.70 fof(l39_zfmisc_1,axiom,(![A]:(![B]:(![C]:(set_difference(unordered_pair(A,B),C)=singleton(A)<=>((~in(A,C))&(in(B,C)|A=B)))))),input).
% 0.54/0.70 fof(c18,axiom,(![A]:(![B]:(![C]:(set_difference(unordered_pair(A,B),C)=singleton(A)<=>(~in(A,C)&(in(B,C)|A=B)))))),inference(fof_simplification,status(thm),[l39_zfmisc_1])).
% 0.54/0.70 fof(c19,axiom,(![A]:(![B]:(![C]:((set_difference(unordered_pair(A,B),C)!=singleton(A)|(~in(A,C)&(in(B,C)|A=B)))&((in(A,C)|(~in(B,C)&A!=B))|set_difference(unordered_pair(A,B),C)=singleton(A)))))),inference(fof_nnf,status(thm),[c18])).
% 0.54/0.70 fof(c20,axiom,((![A]:(![B]:(![C]:(set_difference(unordered_pair(A,B),C)!=singleton(A)|(~in(A,C)&(in(B,C)|A=B))))))&(![A]:(![B]:(![C]:((in(A,C)|(~in(B,C)&A!=B))|set_difference(unordered_pair(A,B),C)=singleton(A)))))),inference(shift_quantors,status(thm),[c19])).
% 0.54/0.70 fof(c22,axiom,(![X6]:(![X7]:(![X8]:(![X9]:(![X10]:(![X11]:((set_difference(unordered_pair(X6,X7),X8)!=singleton(X6)|(~in(X6,X8)&(in(X7,X8)|X6=X7)))&((in(X9,X11)|(~in(X10,X11)&X9!=X10))|set_difference(unordered_pair(X9,X10),X11)=singleton(X9))))))))),inference(shift_quantors,status(thm),[fof(c21,axiom,((![X6]:(![X7]:(![X8]:(set_difference(unordered_pair(X6,X7),X8)!=singleton(X6)|(~in(X6,X8)&(in(X7,X8)|X6=X7))))))&(![X9]:(![X10]:(![X11]:((in(X9,X11)|(~in(X10,X11)&X9!=X10))|set_difference(unordered_pair(X9,X10),X11)=singleton(X9)))))),inference(variable_rename,status(thm),[c20])).])).
% 0.54/0.70 fof(c23,axiom,(![X6]:(![X7]:(![X8]:(![X9]:(![X10]:(![X11]:(((set_difference(unordered_pair(X6,X7),X8)!=singleton(X6)|~in(X6,X8))&(set_difference(unordered_pair(X6,X7),X8)!=singleton(X6)|(in(X7,X8)|X6=X7)))&(((in(X9,X11)|~in(X10,X11))|set_difference(unordered_pair(X9,X10),X11)=singleton(X9))&((in(X9,X11)|X9!=X10)|set_difference(unordered_pair(X9,X10),X11)=singleton(X9)))))))))),inference(distribute,status(thm),[c22])).
% 0.54/0.70 cnf(c26,axiom,in(X118,X120)|~in(X119,X120)|set_difference(unordered_pair(X118,X119),X120)=singleton(X118),inference(split_conjunct,status(thm),[c23])).
% 0.54/0.70 cnf(c102,plain,in(X387,singleton(X386))|set_difference(unordered_pair(X387,X386),singleton(X386))=singleton(X387),inference(resolution,status(thm),[c26, c58])).
% 0.54/0.70 cnf(c783,plain,in(skolem0001,singleton(skolem0002)),inference(resolution,status(thm),[c102, c10])).
% 0.54/0.70 cnf(c806,plain,skolem0001=skolem0002,inference(resolution,status(thm),[c783, c56])).
% 0.54/0.70 cnf(c824,plain,$false,inference(resolution,status(thm),[c806, c9])).
% 0.54/0.70 # SZS output end CNFRefutation
% 0.54/0.70
% 0.54/0.70 # Initial clauses : 22
% 0.54/0.70 # Processed clauses : 91
% 0.54/0.70 # Factors computed : 0
% 0.54/0.70 # Resolvents computed: 782
% 0.54/0.70 # Tautologies deleted: 3
% 0.54/0.70 # Forward subsumed : 58
% 0.54/0.70 # Backward subsumed : 0
% 0.54/0.70 # -------- CPU Time ---------
% 0.54/0.70 # User time : 0.340 s
% 0.54/0.70 # System time : 0.021 s
% 0.54/0.70 # Total time : 0.361 s
%------------------------------------------------------------------------------