TSTP Solution File: SET927+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SET927+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n027.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 04:41:24 EDT 2022
% Result : Theorem 3.24s 3.41s
% Output : Refutation 3.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET927+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n027.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jul 11 05:11:18 EDT 2022
% 0.13/0.35 % CPUTime :
% 3.24/3.41 # Version: 1.3
% 3.24/3.41 # SZS status Theorem
% 3.24/3.41 # SZS output start CNFRefutation
% 3.24/3.41 cnf(symmetry,axiom,X18!=X19|X19=X18,eq_axiom).
% 3.24/3.41 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).
% 3.24/3.41 fof(c5,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])).
% 3.24/3.41 fof(c6,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),[c5])).
% 3.24/3.41 fof(c7,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),[c6])).
% 3.24/3.41 fof(c9,axiom,(![X2]:(![X3]:(![X4]:(![X5]:(![X6]:(![X7]:((set_difference(unordered_pair(X2,X3),X4)!=singleton(X2)|(~in(X2,X4)&(in(X3,X4)|X2=X3)))&((in(X5,X7)|(~in(X6,X7)&X5!=X6))|set_difference(unordered_pair(X5,X6),X7)=singleton(X5))))))))),inference(shift_quantors,status(thm),[fof(c8,axiom,((![X2]:(![X3]:(![X4]:(set_difference(unordered_pair(X2,X3),X4)!=singleton(X2)|(~in(X2,X4)&(in(X3,X4)|X2=X3))))))&(![X5]:(![X6]:(![X7]:((in(X5,X7)|(~in(X6,X7)&X5!=X6))|set_difference(unordered_pair(X5,X6),X7)=singleton(X5)))))),inference(variable_rename,status(thm),[c7])).])).
% 3.24/3.41 fof(c10,axiom,(![X2]:(![X3]:(![X4]:(![X5]:(![X6]:(![X7]:(((set_difference(unordered_pair(X2,X3),X4)!=singleton(X2)|~in(X2,X4))&(set_difference(unordered_pair(X2,X3),X4)!=singleton(X2)|(in(X3,X4)|X2=X3)))&(((in(X5,X7)|~in(X6,X7))|set_difference(unordered_pair(X5,X6),X7)=singleton(X5))&((in(X5,X7)|X5!=X6)|set_difference(unordered_pair(X5,X6),X7)=singleton(X5)))))))))),inference(distribute,status(thm),[c9])).
% 3.24/3.41 cnf(c12,axiom,set_difference(unordered_pair(X80,X81),X79)!=singleton(X80)|in(X81,X79)|X80=X81,inference(split_conjunct,status(thm),[c10])).
% 3.24/3.41 fof(t70_zfmisc_1,conjecture,(![A]:(![B]:(![C]:(set_difference(unordered_pair(A,B),C)=singleton(A)<=>((~in(A,C))&(in(B,C)|A=B)))))),input).
% 3.24/3.41 fof(c15,negated_conjecture,(~(![A]:(![B]:(![C]:(set_difference(unordered_pair(A,B),C)=singleton(A)<=>((~in(A,C))&(in(B,C)|A=B))))))),inference(assume_negation,status(cth),[t70_zfmisc_1])).
% 3.24/3.41 fof(c16,negated_conjecture,(~(![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),[c15])).
% 3.24/3.41 fof(c17,negated_conjecture,(?[A]:(?[B]:(?[C]:((set_difference(unordered_pair(A,B),C)!=singleton(A)|(in(A,C)|(~in(B,C)&A!=B)))&(set_difference(unordered_pair(A,B),C)=singleton(A)|(~in(A,C)&(in(B,C)|A=B))))))),inference(fof_nnf,status(thm),[c16])).
% 3.24/3.41 fof(c18,negated_conjecture,(?[X8]:(?[X9]:(?[X10]:((set_difference(unordered_pair(X8,X9),X10)!=singleton(X8)|(in(X8,X10)|(~in(X9,X10)&X8!=X9)))&(set_difference(unordered_pair(X8,X9),X10)=singleton(X8)|(~in(X8,X10)&(in(X9,X10)|X8=X9))))))),inference(variable_rename,status(thm),[c17])).
% 3.24/3.41 fof(c19,negated_conjecture,((set_difference(unordered_pair(skolem0001,skolem0002),skolem0003)!=singleton(skolem0001)|(in(skolem0001,skolem0003)|(~in(skolem0002,skolem0003)&skolem0001!=skolem0002)))&(set_difference(unordered_pair(skolem0001,skolem0002),skolem0003)=singleton(skolem0001)|(~in(skolem0001,skolem0003)&(in(skolem0002,skolem0003)|skolem0001=skolem0002)))),inference(skolemize,status(esa),[c18])).
% 3.24/3.41 fof(c20,negated_conjecture,(((set_difference(unordered_pair(skolem0001,skolem0002),skolem0003)!=singleton(skolem0001)|(in(skolem0001,skolem0003)|~in(skolem0002,skolem0003)))&(set_difference(unordered_pair(skolem0001,skolem0002),skolem0003)!=singleton(skolem0001)|(in(skolem0001,skolem0003)|skolem0001!=skolem0002)))&((set_difference(unordered_pair(skolem0001,skolem0002),skolem0003)=singleton(skolem0001)|~in(skolem0001,skolem0003))&(set_difference(unordered_pair(skolem0001,skolem0002),skolem0003)=singleton(skolem0001)|(in(skolem0002,skolem0003)|skolem0001=skolem0002)))),inference(distribute,status(thm),[c19])).
% 3.24/3.41 cnf(c24,negated_conjecture,set_difference(unordered_pair(skolem0001,skolem0002),skolem0003)=singleton(skolem0001)|in(skolem0002,skolem0003)|skolem0001=skolem0002,inference(split_conjunct,status(thm),[c20])).
% 3.24/3.41 cnf(c160,plain,in(skolem0002,skolem0003)|skolem0001=skolem0002,inference(resolution,status(thm),[c24, c12])).
% 3.24/3.41 cnf(c21,negated_conjecture,set_difference(unordered_pair(skolem0001,skolem0002),skolem0003)!=singleton(skolem0001)|in(skolem0001,skolem0003)|~in(skolem0002,skolem0003),inference(split_conjunct,status(thm),[c20])).
% 3.24/3.41 cnf(c13,axiom,in(X97,X98)|~in(X96,X98)|set_difference(unordered_pair(X97,X96),X98)=singleton(X97),inference(split_conjunct,status(thm),[c10])).
% 3.24/3.41 cnf(c191,plain,skolem0001=skolem0002|in(X983,skolem0003)|set_difference(unordered_pair(X983,skolem0002),skolem0003)=singleton(X983),inference(resolution,status(thm),[c160, c13])).
% 3.24/3.41 cnf(c6987,plain,skolem0001=skolem0002|in(skolem0001,skolem0003)|~in(skolem0002,skolem0003),inference(resolution,status(thm),[c191, c21])).
% 3.24/3.41 cnf(c7042,plain,skolem0001=skolem0002|in(skolem0001,skolem0003),inference(resolution,status(thm),[c6987, c160])).
% 3.24/3.41 cnf(c7122,plain,in(skolem0001,skolem0003)|skolem0002=skolem0001,inference(resolution,status(thm),[c7042, symmetry])).
% 3.24/3.41 cnf(reflexivity,axiom,X17=X17,eq_axiom).
% 3.24/3.41 cnf(c3,plain,X62!=X63|X64!=X65|~in(X62,X64)|in(X63,X65),eq_axiom).
% 3.24/3.41 cnf(c22,negated_conjecture,set_difference(unordered_pair(skolem0001,skolem0002),skolem0003)!=singleton(skolem0001)|in(skolem0001,skolem0003)|skolem0001!=skolem0002,inference(split_conjunct,status(thm),[c20])).
% 3.24/3.41 cnf(c14,axiom,in(X115,X116)|X115!=X114|set_difference(unordered_pair(X115,X114),X116)=singleton(X115),inference(split_conjunct,status(thm),[c10])).
% 3.24/3.41 cnf(c196,plain,in(skolem0002,skolem0003)|in(skolem0001,X987)|set_difference(unordered_pair(skolem0001,skolem0002),X987)=singleton(skolem0001),inference(resolution,status(thm),[c160, c14])).
% 3.24/3.41 cnf(c7099,plain,in(skolem0002,skolem0003)|in(skolem0001,skolem0003)|skolem0001!=skolem0002,inference(resolution,status(thm),[c196, c22])).
% 3.24/3.41 cnf(c7658,plain,in(skolem0002,skolem0003)|in(skolem0001,skolem0003),inference(resolution,status(thm),[c7099, c7042])).
% 3.24/3.41 cnf(c7670,plain,in(skolem0001,skolem0003)|skolem0002!=X1086|skolem0003!=X1087|in(X1086,X1087),inference(resolution,status(thm),[c7658, c3])).
% 3.24/3.41 cnf(c9481,plain,in(skolem0001,skolem0003)|skolem0002!=X1088|in(X1088,skolem0003),inference(resolution,status(thm),[c7670, reflexivity])).
% 3.24/3.41 cnf(c9483,plain,in(skolem0001,skolem0003),inference(resolution,status(thm),[c9481, c7122])).
% 3.24/3.41 cnf(c11,axiom,set_difference(unordered_pair(X74,X75),X73)!=singleton(X74)|~in(X74,X73),inference(split_conjunct,status(thm),[c10])).
% 3.24/3.41 cnf(c23,negated_conjecture,set_difference(unordered_pair(skolem0001,skolem0002),skolem0003)=singleton(skolem0001)|~in(skolem0001,skolem0003),inference(split_conjunct,status(thm),[c20])).
% 3.24/3.41 cnf(c9491,plain,set_difference(unordered_pair(skolem0001,skolem0002),skolem0003)=singleton(skolem0001),inference(resolution,status(thm),[c9483, c23])).
% 3.24/3.41 cnf(c9694,plain,~in(skolem0001,skolem0003),inference(resolution,status(thm),[c9491, c11])).
% 3.24/3.41 cnf(c9716,plain,$false,inference(resolution,status(thm),[c9694, c9483])).
% 3.24/3.41 # SZS output end CNFRefutation
% 3.24/3.41
% 3.24/3.41 # Initial clauses : 20
% 3.24/3.41 # Processed clauses : 363
% 3.24/3.41 # Factors computed : 6
% 3.24/3.41 # Resolvents computed: 9682
% 3.24/3.41 # Tautologies deleted: 22
% 3.24/3.41 # Forward subsumed : 319
% 3.24/3.41 # Backward subsumed : 161
% 3.24/3.41 # -------- CPU Time ---------
% 3.24/3.41 # User time : 3.021 s
% 3.24/3.41 # System time : 0.034 s
% 3.24/3.41 # Total time : 3.055 s
%------------------------------------------------------------------------------