TSTP Solution File: SEU294+3 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SEU294+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n007.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 13:37:08 EDT 2022
% Result : Theorem 1.75s 1.94s
% Output : Refutation 1.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU294+3 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n007.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 Jun 20 09:05:44 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.75/1.94 # Version: 1.3
% 1.75/1.94 # SZS status Theorem
% 1.75/1.94 # SZS output start CNFRefutation
% 1.75/1.94 fof(t13_finset_1,conjecture,(![A]:(![B]:((subset(A,B)&finite(B))=>finite(A)))),input).
% 1.75/1.94 fof(c46,negated_conjecture,(~(![A]:(![B]:((subset(A,B)&finite(B))=>finite(A))))),inference(assume_negation,status(cth),[t13_finset_1])).
% 1.75/1.94 fof(c47,negated_conjecture,(?[A]:(?[B]:((subset(A,B)&finite(B))&~finite(A)))),inference(fof_nnf,status(thm),[c46])).
% 1.75/1.94 fof(c48,negated_conjecture,(?[A]:((?[B]:(subset(A,B)&finite(B)))&~finite(A))),inference(shift_quantors,status(thm),[c47])).
% 1.75/1.94 fof(c49,negated_conjecture,(?[X21]:((?[X22]:(subset(X21,X22)&finite(X22)))&~finite(X21))),inference(variable_rename,status(thm),[c48])).
% 1.75/1.94 fof(c50,negated_conjecture,((subset(skolem0001,skolem0002)&finite(skolem0002))&~finite(skolem0001)),inference(skolemize,status(esa),[c49])).
% 1.75/1.94 cnf(c53,negated_conjecture,~finite(skolem0001),inference(split_conjunct,status(thm),[c50])).
% 1.75/1.94 cnf(c52,negated_conjecture,finite(skolem0002),inference(split_conjunct,status(thm),[c50])).
% 1.75/1.94 fof(cc2_finset_1,axiom,(![A]:(finite(A)=>(![B]:(element(B,powerset(A))=>finite(B))))),input).
% 1.75/1.94 fof(c248,axiom,(![A]:(~finite(A)|(![B]:(~element(B,powerset(A))|finite(B))))),inference(fof_nnf,status(thm),[cc2_finset_1])).
% 1.75/1.94 fof(c250,axiom,(![X60]:(![X61]:(~finite(X60)|(~element(X61,powerset(X60))|finite(X61))))),inference(shift_quantors,status(thm),[fof(c249,axiom,(![X60]:(~finite(X60)|(![X61]:(~element(X61,powerset(X60))|finite(X61))))),inference(variable_rename,status(thm),[c248])).])).
% 1.75/1.94 cnf(c251,axiom,~finite(X219)|~element(X218,powerset(X219))|finite(X218),inference(split_conjunct,status(thm),[c250])).
% 1.75/1.94 cnf(c51,negated_conjecture,subset(skolem0001,skolem0002),inference(split_conjunct,status(thm),[c50])).
% 1.75/1.94 fof(t3_subset,axiom,(![A]:(![B]:(element(A,powerset(B))<=>subset(A,B)))),input).
% 1.75/1.94 fof(c34,axiom,(![A]:(![B]:((~element(A,powerset(B))|subset(A,B))&(~subset(A,B)|element(A,powerset(B)))))),inference(fof_nnf,status(thm),[t3_subset])).
% 1.75/1.94 fof(c35,axiom,((![A]:(![B]:(~element(A,powerset(B))|subset(A,B))))&(![A]:(![B]:(~subset(A,B)|element(A,powerset(B)))))),inference(shift_quantors,status(thm),[c34])).
% 1.75/1.94 fof(c37,axiom,(![X13]:(![X14]:(![X15]:(![X16]:((~element(X13,powerset(X14))|subset(X13,X14))&(~subset(X15,X16)|element(X15,powerset(X16)))))))),inference(shift_quantors,status(thm),[fof(c36,axiom,((![X13]:(![X14]:(~element(X13,powerset(X14))|subset(X13,X14))))&(![X15]:(![X16]:(~subset(X15,X16)|element(X15,powerset(X16)))))),inference(variable_rename,status(thm),[c35])).])).
% 1.75/1.94 cnf(c39,axiom,~subset(X161,X162)|element(X161,powerset(X162)),inference(split_conjunct,status(thm),[c37])).
% 1.75/1.94 cnf(c371,plain,element(skolem0001,powerset(skolem0002)),inference(resolution,status(thm),[c39, c51])).
% 1.75/1.94 cnf(c1676,plain,~finite(skolem0002)|finite(skolem0001),inference(resolution,status(thm),[c371, c251])).
% 1.75/1.94 cnf(c3635,plain,finite(skolem0001),inference(resolution,status(thm),[c1676, c52])).
% 1.75/1.94 cnf(c3639,plain,$false,inference(resolution,status(thm),[c3635, c53])).
% 1.75/1.94 # SZS output end CNFRefutation
% 1.75/1.94
% 1.75/1.94 # Initial clauses : 162
% 1.75/1.94 # Processed clauses : 675
% 1.75/1.94 # Factors computed : 0
% 1.75/1.94 # Resolvents computed: 3356
% 1.75/1.94 # Tautologies deleted: 24
% 1.75/1.94 # Forward subsumed : 613
% 1.75/1.94 # Backward subsumed : 25
% 1.75/1.94 # -------- CPU Time ---------
% 1.75/1.94 # User time : 1.575 s
% 1.75/1.94 # System time : 0.016 s
% 1.75/1.94 # Total time : 1.591 s
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