TSTP Solution File: SEU122+1 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SEU122+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n017.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 13:35:43 EDT 2022
% Result : Theorem 0.38s 0.54s
% Output : Refutation 0.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SEU122+1 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n017.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 04:16:14 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.38/0.54 # Version: 1.3
% 0.38/0.54 # SZS status Theorem
% 0.38/0.54 # SZS output start CNFRefutation
% 0.38/0.54 fof(t2_xboole_1,conjecture,(![A]:subset(empty_set,A)),input).
% 0.38/0.54 fof(c12,negated_conjecture,(~(![A]:subset(empty_set,A))),inference(assume_negation,status(cth),[t2_xboole_1])).
% 0.38/0.54 fof(c13,negated_conjecture,(?[A]:~subset(empty_set,A)),inference(fof_nnf,status(thm),[c12])).
% 0.38/0.54 fof(c14,negated_conjecture,(?[X7]:~subset(empty_set,X7)),inference(variable_rename,status(thm),[c13])).
% 0.38/0.54 fof(c15,negated_conjecture,~subset(empty_set,skolem0001),inference(skolemize,status(esa),[c14])).
% 0.38/0.54 cnf(c16,negated_conjecture,~subset(empty_set,skolem0001),inference(split_conjunct,status(thm),[c15])).
% 0.38/0.54 fof(fc1_xboole_0,axiom,empty(empty_set),input).
% 0.38/0.54 cnf(c27,axiom,empty(empty_set),inference(split_conjunct,status(thm),[fc1_xboole_0])).
% 0.38/0.54 fof(t7_boole,axiom,(![A]:(![B]:(~(in(A,B)&empty(B))))),input).
% 0.38/0.54 fof(c6,axiom,(![A]:(![B]:(~in(A,B)|~empty(B)))),inference(fof_nnf,status(thm),[t7_boole])).
% 0.38/0.54 fof(c7,axiom,(![X4]:(![X5]:(~in(X4,X5)|~empty(X5)))),inference(variable_rename,status(thm),[c6])).
% 0.38/0.54 cnf(c8,axiom,~in(X25,X24)|~empty(X24),inference(split_conjunct,status(thm),[c7])).
% 0.38/0.54 fof(d3_tarski,axiom,(![A]:(![B]:(subset(A,B)<=>(![C]:(in(C,A)=>in(C,B)))))),input).
% 0.38/0.54 fof(c29,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])).
% 0.38/0.54 fof(c30,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),[c29])).
% 0.38/0.54 fof(c31,axiom,((![X11]:(![X12]:(~subset(X11,X12)|(![X13]:(~in(X13,X11)|in(X13,X12))))))&(![X14]:(![X15]:((?[X16]:(in(X16,X14)&~in(X16,X15)))|subset(X14,X15))))),inference(variable_rename,status(thm),[c30])).
% 0.38/0.54 fof(c33,axiom,(![X11]:(![X12]:(![X13]:(![X14]:(![X15]:((~subset(X11,X12)|(~in(X13,X11)|in(X13,X12)))&((in(skolem0004(X14,X15),X14)&~in(skolem0004(X14,X15),X15))|subset(X14,X15)))))))),inference(shift_quantors,status(thm),[fof(c32,axiom,((![X11]:(![X12]:(~subset(X11,X12)|(![X13]:(~in(X13,X11)|in(X13,X12))))))&(![X14]:(![X15]:((in(skolem0004(X14,X15),X14)&~in(skolem0004(X14,X15),X15))|subset(X14,X15))))),inference(skolemize,status(esa),[c31])).])).
% 0.38/0.54 fof(c34,axiom,(![X11]:(![X12]:(![X13]:(![X14]:(![X15]:((~subset(X11,X12)|(~in(X13,X11)|in(X13,X12)))&((in(skolem0004(X14,X15),X14)|subset(X14,X15))&(~in(skolem0004(X14,X15),X15)|subset(X14,X15))))))))),inference(distribute,status(thm),[c33])).
% 0.38/0.54 cnf(c36,axiom,in(skolem0004(X55,X54),X55)|subset(X55,X54),inference(split_conjunct,status(thm),[c34])).
% 0.38/0.54 cnf(c62,plain,subset(X56,X57)|~empty(X56),inference(resolution,status(thm),[c36, c8])).
% 0.38/0.54 cnf(c69,plain,subset(empty_set,X59),inference(resolution,status(thm),[c62, c27])).
% 0.38/0.54 cnf(c72,plain,$false,inference(resolution,status(thm),[c69, c16])).
% 0.38/0.54 # SZS output end CNFRefutation
% 0.38/0.54
% 0.38/0.54 # Initial clauses : 19
% 0.38/0.54 # Processed clauses : 26
% 0.38/0.54 # Factors computed : 0
% 0.38/0.54 # Resolvents computed: 31
% 0.38/0.54 # Tautologies deleted: 2
% 0.38/0.54 # Forward subsumed : 12
% 0.38/0.54 # Backward subsumed : 0
% 0.38/0.54 # -------- CPU Time ---------
% 0.38/0.54 # User time : 0.180 s
% 0.38/0.54 # System time : 0.011 s
% 0.38/0.55 # Total time : 0.191 s
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