%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SEU261+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n022.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 : 300s
% DateTime : Thu May 9 17:40:58 EDT 2024
% Result : Theorem 0.48s 0.65s
% Output : Refutation 0.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.14 % Problem : SEU261+1 : TPTP v8.1.2. Released v3.3.0.
% 0.05/0.15 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.37 % Computer : n022.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Wed May 8 11:25:53 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.48/0.65 % Version: 1.5
% 0.48/0.65 % SZS status Theorem
% 0.48/0.65 % SZS output start CNFRefutation
% 0.48/0.65 fof(t54_wellord1,conjecture,(![A]:(relation(A)=>(![B]:(relation(B)=>(![C]:((relation(C)&function(C))=>((well_ordering(A)&relation_isomorphism(A,B,C))=>well_ordering(B)))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', t54_wellord1)).
% 0.48/0.65 fof(c0,negated_conjecture,(~(![A]:(relation(A)=>(![B]:(relation(B)=>(![C]:((relation(C)&function(C))=>((well_ordering(A)&relation_isomorphism(A,B,C))=>well_ordering(B))))))))),inference(assume_negation,[status(cth)],[t54_wellord1])).
% 0.48/0.65 fof(c1,negated_conjecture,(?[A]:(relation(A)&(?[B]:(relation(B)&(?[C]:((relation(C)&function(C))&((well_ordering(A)&relation_isomorphism(A,B,C))&~well_ordering(B)))))))),inference(fof_nnf,[status(thm)],[c0])).
% 0.48/0.65 fof(c2,negated_conjecture,(?[X2]:(relation(X2)&(?[X3]:(relation(X3)&(?[X4]:((relation(X4)&function(X4))&((well_ordering(X2)&relation_isomorphism(X2,X3,X4))&~well_ordering(X3)))))))),inference(variable_rename,[status(thm)],[c1])).
% 0.48/0.65 fof(c3,negated_conjecture,(relation(skolem0001)&(relation(skolem0002)&((relation(skolem0003)&function(skolem0003))&((well_ordering(skolem0001)&relation_isomorphism(skolem0001,skolem0002,skolem0003))&~well_ordering(skolem0002))))),inference(skolemize,[status(esa)],[c2])).
% 0.48/0.65 cnf(c10,negated_conjecture,~well_ordering(skolem0002),inference(split_conjunct,[status(thm)],[c3])).
% 0.48/0.65 cnf(c5,negated_conjecture,relation(skolem0002),inference(split_conjunct,[status(thm)],[c3])).
% 0.48/0.65 cnf(c4,negated_conjecture,relation(skolem0001),inference(split_conjunct,[status(thm)],[c3])).
% 0.48/0.65 cnf(c6,negated_conjecture,relation(skolem0003),inference(split_conjunct,[status(thm)],[c3])).
% 0.48/0.65 cnf(c7,negated_conjecture,function(skolem0003),inference(split_conjunct,[status(thm)],[c3])).
% 0.48/0.65 cnf(c8,negated_conjecture,well_ordering(skolem0001),inference(split_conjunct,[status(thm)],[c3])).
% 0.48/0.65 fof(d4_wellord1,axiom,(![A]:(relation(A)=>(well_ordering(A)<=>((((reflexive(A)&transitive(A))&antisymmetric(A))&connected(A))&well_founded_relation(A))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', d4_wellord1)).
% 0.48/0.65 fof(c24,plain,(![A]:(~relation(A)|((~well_ordering(A)|((((reflexive(A)&transitive(A))&antisymmetric(A))&connected(A))&well_founded_relation(A)))&(((((~reflexive(A)|~transitive(A))|~antisymmetric(A))|~connected(A))|~well_founded_relation(A))|well_ordering(A))))),inference(fof_nnf,[status(thm)],[d4_wellord1])).
% 0.48/0.65 fof(c25,plain,(![X9]:(~relation(X9)|((~well_ordering(X9)|((((reflexive(X9)&transitive(X9))&antisymmetric(X9))&connected(X9))&well_founded_relation(X9)))&(((((~reflexive(X9)|~transitive(X9))|~antisymmetric(X9))|~connected(X9))|~well_founded_relation(X9))|well_ordering(X9))))),inference(variable_rename,[status(thm)],[c24])).
% 0.48/0.65 fof(c26,plain,(![X9]:((((((~relation(X9)|(~well_ordering(X9)|reflexive(X9)))&(~relation(X9)|(~well_ordering(X9)|transitive(X9))))&(~relation(X9)|(~well_ordering(X9)|antisymmetric(X9))))&(~relation(X9)|(~well_ordering(X9)|connected(X9))))&(~relation(X9)|(~well_ordering(X9)|well_founded_relation(X9))))&(~relation(X9)|(((((~reflexive(X9)|~transitive(X9))|~antisymmetric(X9))|~connected(X9))|~well_founded_relation(X9))|well_ordering(X9))))),inference(distribute,[status(thm)],[c25])).
% 0.48/0.65 cnf(c27,plain,~relation(X10)|~well_ordering(X10)|reflexive(X10),inference(split_conjunct,[status(thm)],[c26])).
% 0.48/0.65 cnf(c33,plain,~relation(skolem0001)|reflexive(skolem0001),inference(resolution,[status(thm)],[c27, c8])).
% 0.48/0.65 cnf(c34,plain,reflexive(skolem0001),inference(resolution,[status(thm)],[c33, c4])).
% 0.48/0.65 cnf(c9,negated_conjecture,relation_isomorphism(skolem0001,skolem0002,skolem0003),inference(split_conjunct,[status(thm)],[c3])).
% 0.48/0.65 fof(t53_wellord1,axiom,(![A]:(relation(A)=>(![B]:(relation(B)=>(![C]:((relation(C)&function(C))=>(relation_isomorphism(A,B,C)=>(((((reflexive(A)=>reflexive(B))&(transitive(A)=>transitive(B)))&(connected(A)=>connected(B)))&(antisymmetric(A)=>antisymmetric(B)))&(well_founded_relation(A)=>well_founded_relation(B)))))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', t53_wellord1)).
% 0.48/0.65 fof(c11,plain,(![A]:(~relation(A)|(![B]:(~relation(B)|(![C]:((~relation(C)|~function(C))|(~relation_isomorphism(A,B,C)|(((((~reflexive(A)|reflexive(B))&(~transitive(A)|transitive(B)))&(~connected(A)|connected(B)))&(~antisymmetric(A)|antisymmetric(B)))&(~well_founded_relation(A)|well_founded_relation(B)))))))))),inference(fof_nnf,[status(thm)],[t53_wellord1])).
% 0.48/0.65 fof(c13,plain,(![X5]:(![X6]:(![X7]:(~relation(X5)|(~relation(X6)|((~relation(X7)|~function(X7))|(~relation_isomorphism(X5,X6,X7)|(((((~reflexive(X5)|reflexive(X6))&(~transitive(X5)|transitive(X6)))&(~connected(X5)|connected(X6)))&(~antisymmetric(X5)|antisymmetric(X6)))&(~well_founded_relation(X5)|well_founded_relation(X6)))))))))),inference(shift_quantors,[status(thm)],[fof(c12,plain,(![X5]:(~relation(X5)|(![X6]:(~relation(X6)|(![X7]:((~relation(X7)|~function(X7))|(~relation_isomorphism(X5,X6,X7)|(((((~reflexive(X5)|reflexive(X6))&(~transitive(X5)|transitive(X6)))&(~connected(X5)|connected(X6)))&(~antisymmetric(X5)|antisymmetric(X6)))&(~well_founded_relation(X5)|well_founded_relation(X6)))))))))),inference(variable_rename,[status(thm)],[c11])).])).
% 0.48/0.65 fof(c14,plain,(![X5]:(![X6]:(![X7]:(((((~relation(X5)|(~relation(X6)|((~relation(X7)|~function(X7))|(~relation_isomorphism(X5,X6,X7)|(~reflexive(X5)|reflexive(X6))))))&(~relation(X5)|(~relation(X6)|((~relation(X7)|~function(X7))|(~relation_isomorphism(X5,X6,X7)|(~transitive(X5)|transitive(X6)))))))&(~relation(X5)|(~relation(X6)|((~relation(X7)|~function(X7))|(~relation_isomorphism(X5,X6,X7)|(~connected(X5)|connected(X6)))))))&(~relation(X5)|(~relation(X6)|((~relation(X7)|~function(X7))|(~relation_isomorphism(X5,X6,X7)|(~antisymmetric(X5)|antisymmetric(X6)))))))&(~relation(X5)|(~relation(X6)|((~relation(X7)|~function(X7))|(~relation_isomorphism(X5,X6,X7)|(~well_founded_relation(X5)|well_founded_relation(X6)))))))))),inference(distribute,[status(thm)],[c13])).
% 0.48/0.65 cnf(c15,plain,~relation(X13)|~relation(X12)|~relation(X11)|~function(X11)|~relation_isomorphism(X13,X12,X11)|~reflexive(X13)|reflexive(X12),inference(split_conjunct,[status(thm)],[c14])).
% 0.48/0.65 cnf(c35,plain,~relation(skolem0001)|~relation(skolem0002)|~relation(skolem0003)|~function(skolem0003)|~reflexive(skolem0001)|reflexive(skolem0002),inference(resolution,[status(thm)],[c15, c9])).
% 0.48/0.65 cnf(c49,plain,~relation(skolem0001)|~relation(skolem0002)|~relation(skolem0003)|~function(skolem0003)|reflexive(skolem0002),inference(resolution,[status(thm)],[c35, c34])).
% 0.48/0.65 cnf(c50,plain,~relation(skolem0001)|~relation(skolem0002)|~relation(skolem0003)|reflexive(skolem0002),inference(resolution,[status(thm)],[c49, c7])).
% 0.48/0.65 cnf(c51,plain,~relation(skolem0001)|~relation(skolem0002)|reflexive(skolem0002),inference(resolution,[status(thm)],[c50, c6])).
% 0.48/0.65 cnf(c52,plain,~relation(skolem0001)|reflexive(skolem0002),inference(resolution,[status(thm)],[c51, c5])).
% 0.48/0.65 cnf(c53,plain,reflexive(skolem0002),inference(resolution,[status(thm)],[c52, c4])).
% 0.48/0.65 cnf(c28,plain,~relation(X14)|~well_ordering(X14)|transitive(X14),inference(split_conjunct,[status(thm)],[c26])).
% 0.48/0.65 cnf(c36,plain,~relation(skolem0001)|transitive(skolem0001),inference(resolution,[status(thm)],[c28, c8])).
% 0.48/0.65 cnf(c37,plain,transitive(skolem0001),inference(resolution,[status(thm)],[c36, c4])).
% 0.48/0.65 cnf(c16,plain,~relation(X18)|~relation(X17)|~relation(X16)|~function(X16)|~relation_isomorphism(X18,X17,X16)|~transitive(X18)|transitive(X17),inference(split_conjunct,[status(thm)],[c14])).
% 0.48/0.65 cnf(c39,plain,~relation(skolem0001)|~relation(skolem0002)|~relation(skolem0003)|~function(skolem0003)|~transitive(skolem0001)|transitive(skolem0002),inference(resolution,[status(thm)],[c16, c9])).
% 0.48/0.65 cnf(c54,plain,~relation(skolem0001)|~relation(skolem0002)|~relation(skolem0003)|~function(skolem0003)|transitive(skolem0002),inference(resolution,[status(thm)],[c39, c37])).
% 0.48/0.65 cnf(c55,plain,~relation(skolem0001)|~relation(skolem0002)|~relation(skolem0003)|transitive(skolem0002),inference(resolution,[status(thm)],[c54, c7])).
% 0.48/0.65 cnf(c56,plain,~relation(skolem0001)|~relation(skolem0002)|transitive(skolem0002),inference(resolution,[status(thm)],[c55, c6])).
% 0.48/0.65 cnf(c57,plain,~relation(skolem0001)|transitive(skolem0002),inference(resolution,[status(thm)],[c56, c5])).
% 0.48/0.65 cnf(c58,plain,transitive(skolem0002),inference(resolution,[status(thm)],[c57, c4])).
% 0.48/0.65 cnf(c29,plain,~relation(X15)|~well_ordering(X15)|antisymmetric(X15),inference(split_conjunct,[status(thm)],[c26])).
% 0.48/0.65 cnf(c38,plain,~relation(skolem0001)|antisymmetric(skolem0001),inference(resolution,[status(thm)],[c29, c8])).
% 0.48/0.65 cnf(c40,plain,antisymmetric(skolem0001),inference(resolution,[status(thm)],[c38, c4])).
% 0.48/0.65 cnf(c18,plain,~relation(X27)|~relation(X26)|~relation(X25)|~function(X25)|~relation_isomorphism(X27,X26,X25)|~antisymmetric(X27)|antisymmetric(X26),inference(split_conjunct,[status(thm)],[c14])).
% 0.48/0.65 cnf(c47,plain,~relation(skolem0001)|~relation(skolem0002)|~relation(skolem0003)|~function(skolem0003)|~antisymmetric(skolem0001)|antisymmetric(skolem0002),inference(resolution,[status(thm)],[c18, c9])).
% 0.48/0.65 cnf(c64,plain,~relation(skolem0001)|~relation(skolem0002)|~relation(skolem0003)|~function(skolem0003)|antisymmetric(skolem0002),inference(resolution,[status(thm)],[c47, c40])).
% 0.48/0.65 cnf(c65,plain,~relation(skolem0001)|~relation(skolem0002)|~relation(skolem0003)|antisymmetric(skolem0002),inference(resolution,[status(thm)],[c64, c7])).
% 0.48/0.65 cnf(c66,plain,~relation(skolem0001)|~relation(skolem0002)|antisymmetric(skolem0002),inference(resolution,[status(thm)],[c65, c6])).
% 0.48/0.65 cnf(c67,plain,~relation(skolem0001)|antisymmetric(skolem0002),inference(resolution,[status(thm)],[c66, c5])).
% 0.48/0.65 cnf(c69,plain,antisymmetric(skolem0002),inference(resolution,[status(thm)],[c67, c4])).
% 0.48/0.65 cnf(c30,plain,~relation(X19)|~well_ordering(X19)|connected(X19),inference(split_conjunct,[status(thm)],[c26])).
% 0.48/0.65 cnf(c41,plain,~relation(skolem0001)|connected(skolem0001),inference(resolution,[status(thm)],[c30, c8])).
% 0.48/0.65 cnf(c42,plain,connected(skolem0001),inference(resolution,[status(thm)],[c41, c4])).
% 0.48/0.65 cnf(c17,plain,~relation(X22)|~relation(X21)|~relation(X20)|~function(X20)|~relation_isomorphism(X22,X21,X20)|~connected(X22)|connected(X21),inference(split_conjunct,[status(thm)],[c14])).
% 0.48/0.65 cnf(c43,plain,~relation(skolem0001)|~relation(skolem0002)|~relation(skolem0003)|~function(skolem0003)|~connected(skolem0001)|connected(skolem0002),inference(resolution,[status(thm)],[c17, c9])).
% 0.48/0.65 cnf(c59,plain,~relation(skolem0001)|~relation(skolem0002)|~relation(skolem0003)|~function(skolem0003)|connected(skolem0002),inference(resolution,[status(thm)],[c43, c42])).
% 0.48/0.65 cnf(c60,plain,~relation(skolem0001)|~relation(skolem0002)|~relation(skolem0003)|connected(skolem0002),inference(resolution,[status(thm)],[c59, c7])).
% 0.48/0.65 cnf(c61,plain,~relation(skolem0001)|~relation(skolem0002)|connected(skolem0002),inference(resolution,[status(thm)],[c60, c6])).
% 0.48/0.65 cnf(c62,plain,~relation(skolem0001)|connected(skolem0002),inference(resolution,[status(thm)],[c61, c5])).
% 0.48/0.65 cnf(c63,plain,connected(skolem0002),inference(resolution,[status(thm)],[c62, c4])).
% 0.48/0.65 cnf(c32,plain,~relation(X24)|~reflexive(X24)|~transitive(X24)|~antisymmetric(X24)|~connected(X24)|~well_founded_relation(X24)|well_ordering(X24),inference(split_conjunct,[status(thm)],[c26])).
% 0.48/0.65 cnf(c31,plain,~relation(X23)|~well_ordering(X23)|well_founded_relation(X23),inference(split_conjunct,[status(thm)],[c26])).
% 0.48/0.65 cnf(c44,plain,~relation(skolem0001)|well_founded_relation(skolem0001),inference(resolution,[status(thm)],[c31, c8])).
% 0.48/0.65 cnf(c45,plain,well_founded_relation(skolem0001),inference(resolution,[status(thm)],[c44, c4])).
% 0.48/0.65 cnf(c19,plain,~relation(X30)|~relation(X29)|~relation(X28)|~function(X28)|~relation_isomorphism(X30,X29,X28)|~well_founded_relation(X30)|well_founded_relation(X29),inference(split_conjunct,[status(thm)],[c14])).
% 0.48/0.65 cnf(c48,plain,~relation(skolem0001)|~relation(skolem0002)|~relation(skolem0003)|~function(skolem0003)|~well_founded_relation(skolem0001)|well_founded_relation(skolem0002),inference(resolution,[status(thm)],[c19, c9])).
% 0.48/0.65 cnf(c68,plain,~relation(skolem0001)|~relation(skolem0002)|~relation(skolem0003)|~function(skolem0003)|well_founded_relation(skolem0002),inference(resolution,[status(thm)],[c48, c45])).
% 0.48/0.65 cnf(c70,plain,~relation(skolem0001)|~relation(skolem0002)|~relation(skolem0003)|well_founded_relation(skolem0002),inference(resolution,[status(thm)],[c68, c7])).
% 0.48/0.65 cnf(c71,plain,~relation(skolem0001)|~relation(skolem0002)|well_founded_relation(skolem0002),inference(resolution,[status(thm)],[c70, c6])).
% 0.48/0.65 cnf(c72,plain,~relation(skolem0001)|well_founded_relation(skolem0002),inference(resolution,[status(thm)],[c71, c5])).
% 0.48/0.65 cnf(c73,plain,well_founded_relation(skolem0002),inference(resolution,[status(thm)],[c72, c4])).
% 0.48/0.65 cnf(c74,plain,~relation(skolem0002)|~reflexive(skolem0002)|~transitive(skolem0002)|~antisymmetric(skolem0002)|~connected(skolem0002)|well_ordering(skolem0002),inference(resolution,[status(thm)],[c73, c32])).
% 0.48/0.65 cnf(c75,plain,~relation(skolem0002)|~reflexive(skolem0002)|~transitive(skolem0002)|~antisymmetric(skolem0002)|well_ordering(skolem0002),inference(resolution,[status(thm)],[c74, c63])).
% 0.48/0.65 cnf(c76,plain,~relation(skolem0002)|~reflexive(skolem0002)|~transitive(skolem0002)|well_ordering(skolem0002),inference(resolution,[status(thm)],[c75, c69])).
% 0.48/0.65 cnf(c77,plain,~relation(skolem0002)|~reflexive(skolem0002)|well_ordering(skolem0002),inference(resolution,[status(thm)],[c76, c58])).
% 0.48/0.65 cnf(c78,plain,~relation(skolem0002)|well_ordering(skolem0002),inference(resolution,[status(thm)],[c77, c53])).
% 0.48/0.65 cnf(c79,plain,well_ordering(skolem0002),inference(resolution,[status(thm)],[c78, c5])).
% 0.48/0.65 cnf(c84,plain,$false,inference(resolution,[status(thm)],[c79, c10])).
% 0.48/0.65 % SZS output end CNFRefutation
% 0.48/0.65
% 0.48/0.65 % Initial clauses : 20
% 0.48/0.65 % Processed clauses : 66
% 0.48/0.65 % Factors computed : 0
% 0.48/0.65 % Resolvents computed: 53
% 0.48/0.65 % Tautologies deleted: 0
% 0.48/0.65 % Forward subsumed : 1
% 0.48/0.65 % Backward subsumed : 35
% 0.48/0.65 % -------- CPU Time ---------
% 0.48/0.65 % User time : 0.264 s
% 0.48/0.65 % System time : 0.015 s
% 0.48/0.65 % Total time : 0.279 s
%------------------------------------------------------------------------------