TSTP Solution File: SEU140+1 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SEU140+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n016.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 13:35:52 EDT 2022
% Result : Theorem 173.48s 173.72s
% Output : Refutation 173.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU140+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n016.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jun 19 05:22:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 173.48/173.72 # Version: 1.3
% 173.48/173.72 # SZS status Theorem
% 173.48/173.72 # SZS output start CNFRefutation
% 173.48/173.72 fof(t63_xboole_1,conjecture,(![A]:(![B]:(![C]:((subset(A,B)&disjoint(B,C))=>disjoint(A,C))))),input).
% 173.48/173.72 fof(c14,negated_conjecture,(~(![A]:(![B]:(![C]:((subset(A,B)&disjoint(B,C))=>disjoint(A,C)))))),inference(assume_negation,status(cth),[t63_xboole_1])).
% 173.48/173.72 fof(c15,negated_conjecture,(?[A]:(?[B]:(?[C]:((subset(A,B)&disjoint(B,C))&~disjoint(A,C))))),inference(fof_nnf,status(thm),[c14])).
% 173.48/173.72 fof(c16,negated_conjecture,(?[X7]:(?[X8]:(?[X9]:((subset(X7,X8)&disjoint(X8,X9))&~disjoint(X7,X9))))),inference(variable_rename,status(thm),[c15])).
% 173.48/173.72 fof(c17,negated_conjecture,((subset(skolem0001,skolem0002)&disjoint(skolem0002,skolem0003))&~disjoint(skolem0001,skolem0003)),inference(skolemize,status(esa),[c16])).
% 173.48/173.72 cnf(c20,negated_conjecture,~disjoint(skolem0001,skolem0003),inference(split_conjunct,status(thm),[c17])).
% 173.48/173.72 fof(symmetry_r1_xboole_0,axiom,(![A]:(![B]:(disjoint(A,B)=>disjoint(B,A)))),input).
% 173.48/173.72 fof(c31,axiom,(![A]:(![B]:(~disjoint(A,B)|disjoint(B,A)))),inference(fof_nnf,status(thm),[symmetry_r1_xboole_0])).
% 173.48/173.72 fof(c32,axiom,(![X15]:(![X16]:(~disjoint(X15,X16)|disjoint(X16,X15)))),inference(variable_rename,status(thm),[c31])).
% 173.48/173.72 cnf(c33,axiom,~disjoint(X51,X52)|disjoint(X52,X51),inference(split_conjunct,status(thm),[c32])).
% 173.48/173.72 fof(d7_xboole_0,axiom,(![A]:(![B]:(disjoint(A,B)<=>set_intersection2(A,B)=empty_set))),input).
% 173.48/173.72 fof(c50,axiom,(![A]:(![B]:((~disjoint(A,B)|set_intersection2(A,B)=empty_set)&(set_intersection2(A,B)!=empty_set|disjoint(A,B))))),inference(fof_nnf,status(thm),[d7_xboole_0])).
% 173.48/173.72 fof(c51,axiom,((![A]:(![B]:(~disjoint(A,B)|set_intersection2(A,B)=empty_set)))&(![A]:(![B]:(set_intersection2(A,B)!=empty_set|disjoint(A,B))))),inference(shift_quantors,status(thm),[c50])).
% 173.48/173.72 fof(c53,axiom,(![X21]:(![X22]:(![X23]:(![X24]:((~disjoint(X21,X22)|set_intersection2(X21,X22)=empty_set)&(set_intersection2(X23,X24)!=empty_set|disjoint(X23,X24))))))),inference(shift_quantors,status(thm),[fof(c52,axiom,((![X21]:(![X22]:(~disjoint(X21,X22)|set_intersection2(X21,X22)=empty_set)))&(![X23]:(![X24]:(set_intersection2(X23,X24)!=empty_set|disjoint(X23,X24))))),inference(variable_rename,status(thm),[c51])).])).
% 173.48/173.72 cnf(c55,axiom,set_intersection2(X91,X92)!=empty_set|disjoint(X91,X92),inference(split_conjunct,status(thm),[c53])).
% 173.48/173.72 fof(t3_xboole_1,axiom,(![A]:(subset(A,empty_set)=>A=empty_set)),input).
% 173.48/173.72 fof(c21,axiom,(![A]:(~subset(A,empty_set)|A=empty_set)),inference(fof_nnf,status(thm),[t3_xboole_1])).
% 173.48/173.72 fof(c22,axiom,(![X10]:(~subset(X10,empty_set)|X10=empty_set)),inference(variable_rename,status(thm),[c21])).
% 173.48/173.72 cnf(c23,axiom,~subset(X76,empty_set)|X76=empty_set,inference(split_conjunct,status(thm),[c22])).
% 173.48/173.72 fof(commutativity_k3_xboole_0,axiom,(![A]:(![B]:set_intersection2(A,B)=set_intersection2(B,A))),input).
% 173.48/173.72 fof(c56,axiom,(![X25]:(![X26]:set_intersection2(X25,X26)=set_intersection2(X26,X25))),inference(variable_rename,status(thm),[commutativity_k3_xboole_0])).
% 173.48/173.72 cnf(c57,axiom,set_intersection2(X79,X78)=set_intersection2(X78,X79),inference(split_conjunct,status(thm),[c56])).
% 173.48/173.72 cnf(c19,negated_conjecture,disjoint(skolem0002,skolem0003),inference(split_conjunct,status(thm),[c17])).
% 173.48/173.72 cnf(c54,axiom,~disjoint(X85,X86)|set_intersection2(X85,X86)=empty_set,inference(split_conjunct,status(thm),[c53])).
% 173.48/173.72 cnf(c128,plain,set_intersection2(skolem0002,skolem0003)=empty_set,inference(resolution,status(thm),[c54, c19])).
% 173.48/173.72 cnf(c4,plain,X68!=X67|X69!=X70|~subset(X68,X69)|subset(X67,X70),eq_axiom).
% 173.48/173.72 cnf(c18,negated_conjecture,subset(skolem0001,skolem0002),inference(split_conjunct,status(thm),[c17])).
% 173.48/173.72 fof(t26_xboole_1,axiom,(![A]:(![B]:(![C]:(subset(A,B)=>subset(set_intersection2(A,C),set_intersection2(B,C)))))),input).
% 173.48/173.72 fof(c26,axiom,(![A]:(![B]:(![C]:(~subset(A,B)|subset(set_intersection2(A,C),set_intersection2(B,C)))))),inference(fof_nnf,status(thm),[t26_xboole_1])).
% 173.48/173.72 fof(c27,axiom,(![A]:(![B]:(~subset(A,B)|(![C]:subset(set_intersection2(A,C),set_intersection2(B,C)))))),inference(shift_quantors,status(thm),[c26])).
% 173.48/173.72 fof(c29,axiom,(![X12]:(![X13]:(![X14]:(~subset(X12,X13)|subset(set_intersection2(X12,X14),set_intersection2(X13,X14)))))),inference(shift_quantors,status(thm),[fof(c28,axiom,(![X12]:(![X13]:(~subset(X12,X13)|(![X14]:subset(set_intersection2(X12,X14),set_intersection2(X13,X14)))))),inference(variable_rename,status(thm),[c27])).])).
% 173.48/173.72 cnf(c30,axiom,~subset(X81,X83)|subset(set_intersection2(X81,X82),set_intersection2(X83,X82)),inference(split_conjunct,status(thm),[c29])).
% 173.48/173.72 cnf(c122,plain,subset(set_intersection2(skolem0001,X208),set_intersection2(skolem0002,X208)),inference(resolution,status(thm),[c30, c18])).
% 173.48/173.72 cnf(c630,plain,set_intersection2(skolem0001,X2186)!=X2185|set_intersection2(skolem0002,X2186)!=X2187|subset(X2185,X2187),inference(resolution,status(thm),[c122, c4])).
% 173.48/173.72 cnf(c12000,plain,set_intersection2(skolem0001,skolem0003)!=X11538|subset(X11538,empty_set),inference(resolution,status(thm),[c630, c128])).
% 173.48/173.72 cnf(c130808,plain,subset(set_intersection2(skolem0003,skolem0001),empty_set),inference(resolution,status(thm),[c12000, c57])).
% 173.48/173.72 cnf(c131751,plain,set_intersection2(skolem0003,skolem0001)=empty_set,inference(resolution,status(thm),[c130808, c23])).
% 173.48/173.72 cnf(c131773,plain,disjoint(skolem0003,skolem0001),inference(resolution,status(thm),[c131751, c55])).
% 173.48/173.72 cnf(c131855,plain,disjoint(skolem0001,skolem0003),inference(resolution,status(thm),[c131773, c33])).
% 173.48/173.72 cnf(c131861,plain,$false,inference(resolution,status(thm),[c131855, c20])).
% 173.48/173.72 # SZS output end CNFRefutation
% 173.48/173.72
% 173.48/173.72 # Initial clauses : 29
% 173.48/173.72 # Processed clauses : 1663
% 173.48/173.72 # Factors computed : 6
% 173.48/173.72 # Resolvents computed: 131910
% 173.48/173.72 # Tautologies deleted: 2
% 173.48/173.72 # Forward subsumed : 8169
% 173.48/173.72 # Backward subsumed : 83
% 173.48/173.72 # -------- CPU Time ---------
% 173.48/173.72 # User time : 173.031 s
% 173.48/173.72 # System time : 0.270 s
% 173.48/173.72 # Total time : 173.301 s
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