TSTP Solution File: SEU126+2 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SEU126+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n012.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 13:35:45 EDT 2022
% Result : Theorem 8.45s 8.64s
% Output : Refutation 8.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SEU126+2 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.34 % Computer : n012.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon Jun 20 10:29:37 EDT 2022
% 0.14/0.34 % CPUTime :
% 8.45/8.64 # Version: 1.3
% 8.45/8.64 # SZS status Theorem
% 8.45/8.64 # SZS output start CNFRefutation
% 8.45/8.64 fof(t12_xboole_1,conjecture,(![A]:(![B]:(subset(A,B)=>set_union2(A,B)=B))),input).
% 8.45/8.64 fof(c48,negated_conjecture,(~(![A]:(![B]:(subset(A,B)=>set_union2(A,B)=B)))),inference(assume_negation,status(cth),[t12_xboole_1])).
% 8.45/8.64 fof(c49,negated_conjecture,(?[A]:(?[B]:(subset(A,B)&set_union2(A,B)!=B))),inference(fof_nnf,status(thm),[c48])).
% 8.45/8.64 fof(c50,negated_conjecture,(?[X30]:(?[X31]:(subset(X30,X31)&set_union2(X30,X31)!=X31))),inference(variable_rename,status(thm),[c49])).
% 8.45/8.64 fof(c51,negated_conjecture,(subset(skolem0003,skolem0004)&set_union2(skolem0003,skolem0004)!=skolem0004),inference(skolemize,status(esa),[c50])).
% 8.45/8.64 cnf(c53,negated_conjecture,set_union2(skolem0003,skolem0004)!=skolem0004,inference(split_conjunct,status(thm),[c51])).
% 8.45/8.64 cnf(symmetry,axiom,X87!=X88|X88=X87,eq_axiom).
% 8.45/8.64 cnf(transitivity,axiom,X91!=X93|X93!=X92|X91=X92,eq_axiom).
% 8.45/8.64 fof(commutativity_k2_xboole_0,axiom,(![A]:(![B]:set_union2(A,B)=set_union2(B,A))),input).
% 8.45/8.64 fof(c146,axiom,(![X81]:(![X82]:set_union2(X81,X82)=set_union2(X82,X81))),inference(variable_rename,status(thm),[commutativity_k2_xboole_0])).
% 8.45/8.64 cnf(c147,axiom,set_union2(X410,X411)=set_union2(X411,X410),inference(split_conjunct,status(thm),[c146])).
% 8.45/8.64 cnf(c762,plain,X3446!=set_union2(X3448,X3447)|X3446=set_union2(X3447,X3448),inference(resolution,status(thm),[c147, transitivity])).
% 8.45/8.64 fof(reflexivity_r1_tarski,axiom,(![A]:(![B]:subset(A,A))),input).
% 8.45/8.64 fof(c57,axiom,(![A]:subset(A,A)),inference(fof_simplification,status(thm),[reflexivity_r1_tarski])).
% 8.45/8.64 fof(c58,axiom,(![X34]:subset(X34,X34)),inference(variable_rename,status(thm),[c57])).
% 8.45/8.64 cnf(c59,axiom,subset(X86,X86),inference(split_conjunct,status(thm),[c58])).
% 8.45/8.64 cnf(c52,negated_conjecture,subset(skolem0003,skolem0004),inference(split_conjunct,status(thm),[c51])).
% 8.45/8.64 fof(t8_xboole_1,plain,(![A]:(![B]:(![C]:((subset(A,B)&subset(C,B))=>subset(set_union2(A,C),B))))),input).
% 8.45/8.64 fof(c6,plain,(![A]:(![B]:(![C]:((~subset(A,B)|~subset(C,B))|subset(set_union2(A,C),B))))),inference(fof_nnf,status(thm),[t8_xboole_1])).
% 8.45/8.64 fof(c7,plain,(![X2]:(![X3]:(![X4]:((~subset(X2,X3)|~subset(X4,X3))|subset(set_union2(X2,X4),X3))))),inference(variable_rename,status(thm),[c6])).
% 8.45/8.64 cnf(c8,plain,~subset(X150,X149)|~subset(X151,X149)|subset(set_union2(X150,X151),X149),inference(split_conjunct,status(thm),[c7])).
% 8.45/8.64 cnf(c221,plain,~subset(X671,skolem0004)|subset(set_union2(X671,skolem0003),skolem0004),inference(resolution,status(thm),[c8, c52])).
% 8.45/8.64 cnf(c1881,plain,subset(set_union2(skolem0004,skolem0003),skolem0004),inference(resolution,status(thm),[c221, c59])).
% 8.45/8.64 fof(t7_xboole_1,plain,(![A]:(![B]:subset(A,set_union2(A,B)))),input).
% 8.45/8.64 fof(c12,plain,(![X7]:(![X8]:subset(X7,set_union2(X7,X8)))),inference(variable_rename,status(thm),[t7_xboole_1])).
% 8.45/8.64 cnf(c13,plain,subset(X94,set_union2(X94,X95)),inference(split_conjunct,status(thm),[c12])).
% 8.45/8.64 fof(d10_xboole_0,axiom,(![A]:(![B]:(A=B<=>(subset(A,B)&subset(B,A))))),input).
% 8.45/8.64 fof(c136,axiom,(![A]:(![B]:((A!=B|(subset(A,B)&subset(B,A)))&((~subset(A,B)|~subset(B,A))|A=B)))),inference(fof_nnf,status(thm),[d10_xboole_0])).
% 8.45/8.64 fof(c137,axiom,((![A]:(![B]:(A!=B|(subset(A,B)&subset(B,A)))))&(![A]:(![B]:((~subset(A,B)|~subset(B,A))|A=B)))),inference(shift_quantors,status(thm),[c136])).
% 8.45/8.64 fof(c139,axiom,(![X75]:(![X76]:(![X77]:(![X78]:((X75!=X76|(subset(X75,X76)&subset(X76,X75)))&((~subset(X77,X78)|~subset(X78,X77))|X77=X78)))))),inference(shift_quantors,status(thm),[fof(c138,axiom,((![X75]:(![X76]:(X75!=X76|(subset(X75,X76)&subset(X76,X75)))))&(![X77]:(![X78]:((~subset(X77,X78)|~subset(X78,X77))|X77=X78)))),inference(variable_rename,status(thm),[c137])).])).
% 8.45/8.64 fof(c140,axiom,(![X75]:(![X76]:(![X77]:(![X78]:(((X75!=X76|subset(X75,X76))&(X75!=X76|subset(X76,X75)))&((~subset(X77,X78)|~subset(X78,X77))|X77=X78)))))),inference(distribute,status(thm),[c139])).
% 8.45/8.64 cnf(c143,axiom,~subset(X390,X391)|~subset(X391,X390)|X390=X391,inference(split_conjunct,status(thm),[c140])).
% 8.45/8.64 cnf(c716,plain,~subset(set_union2(X3275,X3276),X3275)|set_union2(X3275,X3276)=X3275,inference(resolution,status(thm),[c143, c13])).
% 8.45/8.64 cnf(c18334,plain,set_union2(skolem0004,skolem0003)=skolem0004,inference(resolution,status(thm),[c716, c1881])).
% 8.45/8.64 cnf(c18966,plain,skolem0004=set_union2(skolem0004,skolem0003),inference(resolution,status(thm),[c18334, symmetry])).
% 8.45/8.64 cnf(c21789,plain,skolem0004=set_union2(skolem0003,skolem0004),inference(resolution,status(thm),[c18966, c762])).
% 8.45/8.64 cnf(c23391,plain,set_union2(skolem0003,skolem0004)=skolem0004,inference(resolution,status(thm),[c21789, symmetry])).
% 8.45/8.64 cnf(c24369,plain,$false,inference(resolution,status(thm),[c23391, c53])).
% 8.45/8.64 # SZS output end CNFRefutation
% 8.45/8.64
% 8.45/8.64 # Initial clauses : 62
% 8.45/8.64 # Processed clauses : 700
% 8.45/8.64 # Factors computed : 45
% 8.45/8.64 # Resolvents computed: 24202
% 8.45/8.64 # Tautologies deleted: 41
% 8.45/8.64 # Forward subsumed : 1811
% 8.45/8.64 # Backward subsumed : 56
% 8.45/8.64 # -------- CPU Time ---------
% 8.45/8.64 # User time : 8.241 s
% 8.45/8.64 # System time : 0.053 s
% 8.45/8.64 # Total time : 8.294 s
%------------------------------------------------------------------------------