%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : SEU261+1 : TPTP v8.1.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % Computer : n008.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 11:54:33 EDT 2022 % Result : Theorem 3.28s 0.81s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : SEU261+1 : TPTP v8.1.0. Released v3.3.0. % 0.00/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.12/0.33 % Computer : n008.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 16:14:37 EDT 2022 % 0.12/0.33 % CPUTime : % 3.28/0.81 % SZS status Theorem % 3.28/0.81 % SZS output begin IncompleteProof % 3.28/0.81 cnf(c0, axiom, % 3.28/0.81 relation_isomorphism(sK4,sK5,sK6)). % 3.28/0.81 cnf(c1, plain, % 3.28/0.81 relation_isomorphism(sK4,sK5,sK6), % 3.28/0.81 inference(start, [], [c0])). % 3.28/0.81 % 3.28/0.81 cnf(c2, axiom, % 3.28/0.81 sP2(X0,X1) | ~relation_isomorphism(X1,X0,X2) | ~function(X2) | ~relation(X2) | ~relation(X0) | ~relation(X1)). % 3.28/0.81 cnf(a0, assumption, % 3.28/0.81 sK4 = X1). % 3.28/0.81 cnf(a1, assumption, % 3.28/0.81 sK5 = X0). % 3.28/0.81 cnf(a2, assumption, % 3.28/0.81 sK6 = X2). % 3.28/0.81 cnf(c3, plain, % 3.28/0.81 $false, % 3.28/0.81 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 3.28/0.81 cnf(c4, plain, % 3.28/0.81 sP2(X0,X1) | ~function(X2) | ~relation(X2) | ~relation(X0) | ~relation(X1), % 3.28/0.81 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 3.28/0.81 % 3.28/0.81 cnf(c5, axiom, % 3.28/0.81 reflexive(X3) | ~reflexive(X4) | ~sP2(X3,X4)). % 3.28/0.81 cnf(a3, assumption, % 3.28/0.81 X0 = X3). % 3.28/0.81 cnf(a4, assumption, % 3.28/0.81 X1 = X4). % 3.28/0.81 cnf(c6, plain, % 3.28/0.81 ~function(X2) | ~relation(X2) | ~relation(X0) | ~relation(X1), % 3.28/0.81 inference(strict_predicate_extension, [assumptions([a3, a4])], [c4, c5])). % 3.28/0.81 cnf(c7, plain, % 3.28/0.81 reflexive(X3) | ~reflexive(X4), % 3.28/0.81 inference(strict_predicate_extension, [assumptions([a3, a4])], [c4, c5])). % 3.28/0.81 % 3.28/0.81 cnf(c8, axiom, % 3.28/0.81 sP0(X5) | ~well_founded_relation(X5) | ~connected(X5) | ~antisymmetric(X5) | ~transitive(X5) | ~reflexive(X5)). % 3.28/0.81 cnf(a5, assumption, % 3.28/0.81 X3 = X5). % 3.28/0.81 cnf(c9, plain, % 3.28/0.81 ~reflexive(X4), % 3.28/0.81 inference(strict_predicate_extension, [assumptions([a5])], [c7, c8])). % 3.28/0.81 cnf(c10, plain, % 3.28/0.81 sP0(X5) | ~well_founded_relation(X5) | ~connected(X5) | ~antisymmetric(X5) | ~transitive(X5), % 3.28/0.81 inference(strict_predicate_extension, [assumptions([a5])], [c7, c8])). % 3.28/0.81 % 3.28/0.81 cnf(c11, axiom, % 3.28/0.81 well_ordering(X6) | ~sP0(X6) | ~sP1(X6)). % 3.28/0.81 cnf(a6, assumption, % 3.28/0.81 X5 = X6). % 3.28/0.81 cnf(c12, plain, % 3.28/0.81 ~well_founded_relation(X5) | ~connected(X5) | ~antisymmetric(X5) | ~transitive(X5), % 3.28/0.81 inference(strict_predicate_extension, [assumptions([a6])], [c10, c11])). % 3.28/0.81 cnf(c13, plain, % 3.28/0.81 well_ordering(X6) | ~sP1(X6), % 3.28/0.81 inference(strict_predicate_extension, [assumptions([a6])], [c10, c11])). % 3.28/0.81 % 3.28/0.81 cnf(c14, axiom, % 3.28/0.81 ~well_ordering(sK5)). % 3.28/0.81 cnf(a7, assumption, % 3.28/0.81 X6 = sK5). % 3.28/0.81 cnf(c15, plain, % 3.28/0.81 ~sP1(X6), % 3.28/0.81 inference(strict_predicate_extension, [assumptions([a7])], [c13, c14])). % 3.28/0.81 cnf(c16, plain, % 3.28/0.81 $false, % 3.28/0.81 inference(strict_predicate_extension, [assumptions([a7])], [c13, c14])). % 3.28/0.81 % 3.28/0.81 cnf(c17, axiom, % 3.28/0.81 sP1(X7) | ~relation(X7)). % 3.28/0.81 cnf(a8, assumption, % 3.28/0.81 X6 = X7). % 3.28/0.81 cnf(c18, plain, % 3.28/0.81 $false, % 3.28/0.81 inference(strict_predicate_extension, [assumptions([a8])], [c15, c17])). % 3.28/0.81 cnf(c19, plain, % 3.28/0.81 ~relation(X7), % 3.28/0.81 inference(strict_predicate_extension, [assumptions([a8])], [c15, c17])). % 3.28/0.81 % 3.28/0.81 cnf(c20, axiom, % 3.28/0.81 relation(sK5)). % 3.28/0.81 cnf(a9, assumption, % 3.28/0.81 X7 = sK5). % 3.28/0.81 cnf(c21, plain, % 3.28/0.81 $false, % 3.28/0.81 inference(strict_predicate_extension, [assumptions([a9])], [c19, c20])). % 3.28/0.81 cnf(c22, plain, % 3.28/0.81 $false, % 3.28/0.81 inference(strict_predicate_extension, [assumptions([a9])], [c19, c20])). % 3.28/0.81 % 3.28/0.81 cnf(c23, axiom, % 3.28/0.81 well_founded_relation(X8) | ~well_founded_relation(X9) | ~sP2(X8,X9)). % 3.28/0.81 cnf(a10, assumption, % 3.28/0.81 X5 = X8). % 3.28/0.81 cnf(c24, plain, % 3.28/0.81 ~connected(X5) | ~antisymmetric(X5) | ~transitive(X5), % 3.28/0.81 inference(strict_predicate_extension, [assumptions([a10])], [c12, c23])). % 3.28/0.81 cnf(c25, plain, % 3.28/0.81 ~well_founded_relation(X9) | ~sP2(X8,X9), % 3.28/0.81 inference(strict_predicate_extension, [assumptions([a10])], [c12, c23])). % 3.28/0.81 % 3.28/0.81 cnf(c26, axiom, % 3.28/0.81 well_founded_relation(X10) | ~sP0(X10)). % 3.28/0.81 cnf(a11, assumption, % 3.28/0.81 X9 = X10). % 3.28/0.81 cnf(c27, plain, % 3.28/0.81 ~sP2(X8,X9), % 3.28/0.81 inference(strict_predicate_extension, [assumptions([a11])], [c25, c26])). % 3.28/0.81 cnf(c28, plain, % 3.28/0.81 ~sP0(X10), % 3.28/0.81 inference(strict_predicate_extension, [assumptions([a11])], [c25, c26])). % 3.28/0.81 % 3.28/0.81 cnf(c29, axiom, % 3.28/0.81 sP0(X11) | ~well_ordering(X11) | ~sP1(X11)). % 3.28/0.81 cnf(a12, assumption, % 3.28/0.81 X10 = X11). % 3.28/0.81 cnf(c30, plain, % 3.28/0.81 $false, % 3.28/0.81 inference(strict_predicate_extension, [assumptions([a12])], [c28, c29])). % 3.28/0.81 cnf(c31, plain, % 3.28/0.81 ~well_ordering(X11) | ~sP1(X11), % 3.28/0.81 inference(strict_predicate_extension, [assumptions([a12])], [c28, c29])). % 3.28/0.81 % 3.28/0.81 cnf(c32, axiom, % 3.28/0.81 well_ordering(sK4)). % 3.28/0.81 cnf(a13, assumption, % 3.28/0.81 X11 = sK4). % 3.28/0.81 cnf(c33, plain, % 3.28/0.81 ~sP1(X11), % 3.28/0.81 inference(strict_predicate_extension, [assumptions([a13])], [c31, c32])). % 3.28/0.81 cnf(c34, plain, % 3.28/0.81 $false, % 3.28/0.81 inference(strict_predicate_extension, [assumptions([a13])], [c31, c32])). % 3.28/0.81 % 3.28/0.81 cnf(c35, axiom, % 3.28/0.81 sP1(X12) | ~relation(X12)). % 3.28/0.81 cnf(a14, assumption, % 3.28/0.81 X11 = X12). % 3.28/0.81 cnf(c36, plain, % 3.28/0.81 $false, % 3.28/0.81 inference(strict_predicate_extension, [assumptions([a14])], [c33, c35])). % 3.28/0.81 cnf(c37, plain, % 3.28/0.81 ~relation(X12), % 3.28/0.81 inference(strict_predicate_extension, [assumptions([a14])], [c33, c35])). % 3.28/0.81 % 3.28/0.81 cnf(c38, axiom, % 3.28/0.81 relation(sK4)). % 3.28/0.81 cnf(a15, assumption, % 3.28/0.81 X12 = sK4). % 3.28/0.81 cnf(c39, plain, % 3.28/0.81 $false, % 3.28/0.81 inference(strict_predicate_extension, [assumptions([a15])], [c37, c38])). % 3.28/0.81 cnf(c40, plain, % 3.28/0.81 $false, % 3.28/0.81 inference(strict_predicate_extension, [assumptions([a15])], [c37, c38])). % 3.28/0.81 % 3.28/0.81 cnf(c41, plain, % 3.28/0.81 sP2(X0,X1)). % 3.28/0.81 cnf(a16, assumption, % 3.28/0.81 X8 = X0). % 3.28/0.81 cnf(a17, assumption, % 3.28/0.81 X9 = X1). % 3.28/0.81 cnf(c42, plain, % 3.28/0.81 $false, % 3.28/0.81 inference(predicate_reduction, [assumptions([a16, a17])], [c27, c41])). % 3.28/0.81 % 3.28/0.81 cnf(c43, axiom, % 3.28/0.81 connected(X13) | ~connected(X14) | ~sP2(X13,X14)). % 3.28/0.81 cnf(a18, assumption, % 3.28/0.81 X5 = X13). % 3.28/0.81 cnf(c44, plain, % 3.28/0.81 ~antisymmetric(X5) | ~transitive(X5), % 3.28/0.81 inference(strict_predicate_extension, [assumptions([a18])], [c24, c43])). % 3.28/0.81 cnf(c45, plain, % 3.28/0.81 ~connected(X14) | ~sP2(X13,X14), % 3.28/0.81 inference(strict_predicate_extension, [assumptions([a18])], [c24, c43])). % 3.28/0.81 % 3.28/0.81 cnf(c46, axiom, % 3.28/0.81 connected(X15) | ~sP0(X15)). % 3.28/0.81 cnf(a19, assumption, % 3.28/0.81 X14 = X15). % 3.28/0.81 cnf(c47, plain, % 3.28/0.81 ~sP2(X13,X14), % 3.28/0.81 inference(strict_predicate_extension, [assumptions([a19])], [c45, c46])). % 3.28/0.81 cnf(c48, plain, % 3.28/0.81 ~sP0(X15), % 3.28/0.81 inference(strict_predicate_extension, [assumptions([a19])], [c45, c46])). % 3.28/0.81 % 3.28/0.81 cnf(c49, plain, % 3.28/0.81 sP0(X10)). % 3.28/0.81 cnf(a20, assumption, % 3.28/0.81 X15 = X10). % 3.28/0.81 cnf(c50, plain, % 3.28/0.81 $false, % 3.28/0.81 inference(predicate_reduction, [assumptions([a20])], [c48, c49])). % 3.28/0.81 % 3.28/0.81 cnf(c51, plain, % 3.28/0.81 sP2(X0,X1)). % 3.28/0.81 cnf(a21, assumption, % 3.28/0.81 X13 = X0). % 3.28/0.81 cnf(a22, assumption, % 3.28/0.81 X14 = X1). % 3.28/0.81 cnf(c52, plain, % 3.28/0.81 $false, % 3.28/0.81 inference(predicate_reduction, [assumptions([a21, a22])], [c47, c51])). % 3.28/0.81 % 3.28/0.81 cnf(c53, axiom, % 3.28/0.81 antisymmetric(X16) | ~antisymmetric(X17) | ~sP2(X16,X17)). % 3.28/0.81 cnf(a23, assumption, % 3.28/0.81 X5 = X16). % 3.28/0.81 cnf(c54, plain, % 3.28/0.81 ~transitive(X5), % 3.28/0.81 inference(strict_predicate_extension, [assumptions([a23])], [c44, c53])). % 3.28/0.81 cnf(c55, plain, % 3.28/0.81 ~antisymmetric(X17) | ~sP2(X16,X17), % 3.28/0.81 inference(strict_predicate_extension, [assumptions([a23])], [c44, c53])). % 3.28/0.81 % 3.28/0.81 cnf(c56, axiom, % 3.28/0.81 antisymmetric(X18) | ~sP0(X18)). % 3.28/0.81 cnf(a24, assumption, % 3.28/0.81 X17 = X18). % 3.28/0.81 cnf(c57, plain, % 3.28/0.81 ~sP2(X16,X17), % 3.28/0.81 inference(strict_predicate_extension, [assumptions([a24])], [c55, c56])). % 3.28/0.81 cnf(c58, plain, % 3.28/0.81 ~sP0(X18), % 3.28/0.81 inference(strict_predicate_extension, [assumptions([a24])], [c55, c56])). % 3.28/0.81 % 3.28/0.81 cnf(c59, plain, % 3.28/0.81 sP0(X10)). % 3.28/0.81 cnf(a25, assumption, % 3.28/0.81 X18 = X10). % 3.28/0.81 cnf(c60, plain, % 3.28/0.81 $false, % 3.28/0.81 inference(predicate_reduction, [assumptions([a25])], [c58, c59])). % 3.28/0.81 % 3.28/0.81 cnf(c61, plain, % 3.28/0.81 sP2(X0,X1)). % 3.28/0.81 cnf(a26, assumption, % 3.28/0.81 X16 = X0). % 3.28/0.81 cnf(a27, assumption, % 3.28/0.81 X17 = X1). % 3.28/0.81 cnf(c62, plain, % 3.28/0.81 $false, % 3.28/0.81 inference(predicate_reduction, [assumptions([a26, a27])], [c57, c61])). % 3.28/0.81 % 3.28/0.81 cnf(c63, axiom, % 3.28/0.81 transitive(X19) | ~transitive(X20) | ~sP2(X19,X20)). % 3.28/0.81 cnf(a28, assumption, % 3.28/0.81 X5 = X19). % 3.28/0.81 cnf(c64, plain, % 3.28/0.81 $false, % 3.28/0.81 inference(strict_predicate_extension, [assumptions([a28])], [c54, c63])). % 3.28/0.81 cnf(c65, plain, % 3.28/0.81 ~transitive(X20) | ~sP2(X19,X20), % 3.28/0.81 inference(strict_predicate_extension, [assumptions([a28])], [c54, c63])). % 3.28/0.81 % 3.28/0.81 cnf(c66, axiom, % 3.28/0.81 transitive(X21) | ~sP0(X21)). % 3.28/0.81 cnf(a29, assumption, % 3.28/0.81 X20 = X21). % 3.28/0.81 cnf(c67, plain, % 3.28/0.81 ~sP2(X19,X20), % 3.28/0.81 inference(strict_predicate_extension, [assumptions([a29])], [c65, c66])). % 3.28/0.81 cnf(c68, plain, % 3.28/0.81 ~sP0(X21), % 3.28/0.81 inference(strict_predicate_extension, [assumptions([a29])], [c65, c66])). % 3.28/0.81 % 3.28/0.81 cnf(c69, plain, % 3.28/0.81 sP0(X10)). % 3.28/0.81 cnf(a30, assumption, % 3.28/0.81 X21 = X10). % 3.28/0.81 cnf(c70, plain, % 3.28/0.81 $false, % 3.28/0.81 inference(predicate_reduction, [assumptions([a30])], [c68, c69])). % 3.28/0.81 % 3.28/0.81 cnf(c71, plain, % 3.28/0.81 sP2(X0,X1)). % 3.28/0.81 cnf(a31, assumption, % 3.28/0.81 X19 = X0). % 3.28/0.81 cnf(a32, assumption, % 3.28/0.81 X20 = X1). % 3.28/0.81 cnf(c72, plain, % 3.28/0.81 $false, % 3.28/0.81 inference(predicate_reduction, [assumptions([a31, a32])], [c67, c71])). % 3.28/0.81 % 3.28/0.81 cnf(c73, axiom, % 3.28/0.81 reflexive(X22) | ~sP0(X22)). % 3.28/0.81 cnf(a33, assumption, % 3.28/0.81 X4 = X22). % 3.28/0.81 cnf(c74, plain, % 3.28/0.81 $false, % 3.28/0.81 inference(strict_predicate_extension, [assumptions([a33])], [c9, c73])). % 3.28/0.81 cnf(c75, plain, % 3.28/0.81 ~sP0(X22), % 3.28/0.81 inference(strict_predicate_extension, [assumptions([a33])], [c9, c73])). % 3.28/0.81 % 3.28/0.81 cnf(c76, plain, % 3.28/0.81 sP0(X10)). % 3.28/0.81 cnf(a34, assumption, % 3.28/0.81 X22 = X10). % 3.28/0.81 cnf(c77, plain, % 3.28/0.81 $false, % 3.28/0.81 inference(predicate_reduction, [assumptions([a34])], [c75, c76])). % 3.28/0.81 % 3.28/0.81 cnf(c78, axiom, % 3.28/0.81 function(sK6)). % 3.28/0.81 cnf(a35, assumption, % 3.28/0.81 X2 = sK6). % 3.28/0.81 cnf(c79, plain, % 3.28/0.81 ~relation(X2) | ~relation(X0) | ~relation(X1), % 3.28/0.81 inference(strict_predicate_extension, [assumptions([a35])], [c6, c78])). % 3.28/0.81 cnf(c80, plain, % 3.28/0.81 $false, % 3.28/0.81 inference(strict_predicate_extension, [assumptions([a35])], [c6, c78])). % 3.28/0.81 % 3.28/0.81 cnf(c81, axiom, % 3.28/0.81 relation(sK6)). % 3.28/0.81 cnf(a36, assumption, % 3.28/0.81 X2 = sK6). % 3.28/0.81 cnf(c82, plain, % 3.28/0.81 ~relation(X0) | ~relation(X1), % 3.28/0.81 inference(strict_predicate_extension, [assumptions([a36])], [c79, c81])). % 3.28/0.81 cnf(c83, plain, % 3.28/0.81 $false, % 3.28/0.81 inference(strict_predicate_extension, [assumptions([a36])], [c79, c81])). % 3.28/0.81 % 3.28/0.81 cnf(c84, plain, % 3.28/0.81 relation(X7)). % 3.28/0.81 cnf(a37, assumption, % 3.28/0.81 X0 = X7). % 3.28/0.81 cnf(c85, plain, % 3.28/0.81 ~relation(X1), % 3.28/0.81 inference(predicate_reduction, [assumptions([a37])], [c82, c84])). % 3.28/0.81 % 3.28/0.81 cnf(c86, plain, % 3.28/0.81 relation(X12)). % 3.28/0.81 cnf(a38, assumption, % 3.28/0.81 X1 = X12). % 3.28/0.81 cnf(c87, plain, % 3.28/0.81 $false, % 3.28/0.81 inference(predicate_reduction, [assumptions([a38])], [c85, c86])). % 3.28/0.81 % 3.28/0.81 cnf(c88, plain, % 3.28/0.81 $false, % 3.28/0.81 inference(constraint_solving, [ % 3.28/0.81 bind(X0, sK5), % 3.28/0.81 bind(X1, sK4), % 3.28/0.81 bind(X2, sK6), % 3.28/0.81 bind(X3, sK5), % 3.28/0.81 bind(X4, sK4), % 3.28/0.81 bind(X5, sK5), % 3.28/0.81 bind(X6, sK5), % 3.28/0.81 bind(X7, sK5), % 3.28/0.81 bind(X8, sK5), % 3.28/0.81 bind(X9, sK4), % 3.28/0.81 bind(X10, sK4), % 3.28/0.81 bind(X11, sK4), % 3.28/0.81 bind(X12, sK4), % 3.28/0.81 bind(X13, sK5), % 3.28/0.81 bind(X14, sK4), % 3.28/0.81 bind(X15, sK4), % 3.28/0.81 bind(X16, sK5), % 3.28/0.81 bind(X17, sK4), % 3.28/0.81 bind(X18, sK4), % 3.28/0.81 bind(X19, sK5), % 3.28/0.81 bind(X20, sK4), % 3.28/0.81 bind(X21, sK4), % 3.28/0.81 bind(X22, sK4) % 3.28/0.81 ], % 3.28/0.81 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20, a21, a22, a23, a24, a25, a26, a27, a28, a29, a30, a31, a32, a33, a34, a35, a36, a37, a38])). % 3.28/0.81 % 3.28/0.81 % SZS output end IncompleteProof %------------------------------------------------------------------------------