%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : SET890+1 : TPTP v8.1.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % Computer : n004.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 02:49:01 EDT 2022 % Result : Theorem 36.66s 5.18s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SET890+1 : TPTP v8.1.0. Released v3.2.0. % 0.07/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.13/0.34 % Computer : n004.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Mon Jul 11 09:29:07 EDT 2022 % 0.13/0.34 % CPUTime : % 36.66/5.18 % SZS status Theorem % 36.66/5.18 % SZS output begin IncompleteProof % 36.66/5.18 cnf(c0, axiom, % 36.66/5.18 sK9 != union(singleton(sK9))). % 36.66/5.18 cnf(c1, plain, % 36.66/5.18 sK9 != union(singleton(sK9)), % 36.66/5.18 inference(start, [], [c0])). % 36.66/5.18 % 36.66/5.18 cnf(c2, axiom, % 36.66/5.18 union(X0) = X1 | ~sP2(X0,X1)). % 36.66/5.18 cnf(a0, assumption, % 36.66/5.18 union(singleton(sK9)) = union(X0)). % 36.66/5.18 cnf(c3, plain, % 36.66/5.18 $false, % 36.66/5.18 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 36.66/5.18 cnf(c4, plain, % 36.66/5.18 ~sP2(X0,X1), % 36.66/5.18 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 36.66/5.18 cnf(c5, plain, % 36.66/5.18 X2 != X1 | sK9 != X2, % 36.66/5.18 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 36.66/5.18 % 36.66/5.18 cnf(a1, assumption, % 36.66/5.18 X2 = X1). % 36.66/5.18 cnf(c6, plain, % 36.66/5.18 sK9 != X2, % 36.66/5.18 inference(reflexivity, [assumptions([a1])], [c5])). % 36.66/5.18 % 36.66/5.18 cnf(a2, assumption, % 36.66/5.18 sK9 = X2). % 36.66/5.18 cnf(c7, plain, % 36.66/5.18 $false, % 36.66/5.18 inference(reflexivity, [assumptions([a2])], [c6])). % 36.66/5.18 % 36.66/5.18 cnf(c8, axiom, % 36.66/5.18 sP2(X3,X4) | sP1(X3,sK5(X3,X4)) | in(sK5(X3,X4),X4)). % 36.66/5.18 cnf(a3, assumption, % 36.66/5.18 X0 = X3). % 36.66/5.18 cnf(a4, assumption, % 36.66/5.18 X1 = X4). % 36.66/5.18 cnf(c9, plain, % 36.66/5.18 $false, % 36.66/5.18 inference(strict_predicate_extension, [assumptions([a3, a4])], [c4, c8])). % 36.66/5.18 cnf(c10, plain, % 36.66/5.18 sP1(X3,sK5(X3,X4)) | in(sK5(X3,X4),X4), % 36.66/5.18 inference(strict_predicate_extension, [assumptions([a3, a4])], [c4, c8])). % 36.66/5.18 % 36.66/5.18 cnf(c11, axiom, % 36.66/5.18 in(sK6(X5,X6),X5) | ~sP1(X5,X6)). % 36.66/5.18 cnf(a5, assumption, % 36.66/5.18 X3 = X5). % 36.66/5.18 cnf(a6, assumption, % 36.66/5.18 sK5(X3,X4) = X6). % 36.66/5.18 cnf(c12, plain, % 36.66/5.18 in(sK5(X3,X4),X4), % 36.66/5.18 inference(strict_predicate_extension, [assumptions([a5, a6])], [c10, c11])). % 36.66/5.18 cnf(c13, plain, % 36.66/5.18 in(sK6(X5,X6),X5), % 36.66/5.18 inference(strict_predicate_extension, [assumptions([a5, a6])], [c10, c11])). % 36.66/5.18 % 36.66/5.18 cnf(c14, axiom, % 36.66/5.18 X7 = X8 | ~in(X8,X9) | ~sP0(X7,X9)). % 36.66/5.18 cnf(a7, assumption, % 36.66/5.18 sK6(X5,X6) = X8). % 36.66/5.18 cnf(a8, assumption, % 36.66/5.18 X5 = X9). % 36.66/5.18 cnf(c15, plain, % 36.66/5.18 $false, % 36.66/5.18 inference(strict_predicate_extension, [assumptions([a7, a8])], [c13, c14])). % 36.66/5.18 cnf(c16, plain, % 36.66/5.18 X7 = X8 | ~sP0(X7,X9), % 36.66/5.18 inference(strict_predicate_extension, [assumptions([a7, a8])], [c13, c14])). % 36.66/5.18 % 36.66/5.18 cnf(c17, axiom, % 36.66/5.18 in(X10,sK6(X11,X10)) | ~sP1(X11,X10)). % 36.66/5.18 cnf(a9, assumption, % 36.66/5.18 sK6(X11,X10) = X8). % 36.66/5.18 cnf(c18, plain, % 36.66/5.18 ~sP0(X7,X9), % 36.66/5.18 inference(strict_subterm_extension, [assumptions([a9])], [c16, c17])). % 36.66/5.18 cnf(c19, plain, % 36.66/5.18 ~sP1(X11,X10), % 36.66/5.18 inference(strict_subterm_extension, [assumptions([a9])], [c16, c17])). % 36.66/5.18 cnf(c20, plain, % 36.66/5.18 in(X10,X7), % 36.66/5.18 inference(strict_subterm_extension, [assumptions([a9])], [c16, c17])). % 36.66/5.18 % 36.66/5.18 cnf(c21, axiom, % 36.66/5.18 sP2(X12,X13) | ~sP1(X12,sK5(X12,X13)) | ~in(sK5(X12,X13),X13)). % 36.66/5.18 cnf(a10, assumption, % 36.66/5.18 X10 = sK5(X12,X13)). % 36.66/5.18 cnf(a11, assumption, % 36.66/5.18 X7 = X13). % 36.66/5.18 cnf(c22, plain, % 36.66/5.18 $false, % 36.66/5.18 inference(strict_predicate_extension, [assumptions([a10, a11])], [c20, c21])). % 36.66/5.18 cnf(c23, plain, % 36.66/5.18 sP2(X12,X13) | ~sP1(X12,sK5(X12,X13)), % 36.66/5.18 inference(strict_predicate_extension, [assumptions([a10, a11])], [c20, c21])). % 36.66/5.18 % 36.66/5.18 cnf(c24, plain, % 36.66/5.18 ~sP2(X0,X1)). % 36.66/5.18 cnf(a12, assumption, % 36.66/5.18 X12 = X0). % 36.66/5.18 cnf(a13, assumption, % 36.66/5.18 X13 = X1). % 36.66/5.18 cnf(c25, plain, % 36.66/5.18 ~sP1(X12,sK5(X12,X13)), % 36.66/5.18 inference(predicate_reduction, [assumptions([a12, a13])], [c23, c24])). % 36.66/5.18 % 36.66/5.18 cnf(c26, plain, % 36.66/5.18 sP1(X3,sK5(X3,X4))). % 36.66/5.18 cnf(a14, assumption, % 36.66/5.18 X12 = X3). % 36.66/5.18 cnf(a15, assumption, % 36.66/5.18 sK5(X12,X13) = sK5(X3,X4)). % 36.66/5.18 cnf(c27, plain, % 36.66/5.18 $false, % 36.66/5.18 inference(predicate_reduction, [assumptions([a14, a15])], [c25, c26])). % 36.66/5.18 % 36.66/5.18 cnf(c28, plain, % 36.66/5.18 sP1(X3,sK5(X3,X4))). % 36.66/5.18 cnf(a16, assumption, % 36.66/5.18 X11 = X3). % 36.66/5.18 cnf(a17, assumption, % 36.66/5.18 X10 = sK5(X3,X4)). % 36.66/5.18 cnf(c29, plain, % 36.66/5.18 $false, % 36.66/5.18 inference(predicate_reduction, [assumptions([a16, a17])], [c19, c28])). % 36.66/5.18 % 36.66/5.18 cnf(c30, axiom, % 36.66/5.18 sP0(X14,singleton(X14))). % 36.66/5.18 cnf(a18, assumption, % 36.66/5.18 X7 = X14). % 36.66/5.18 cnf(a19, assumption, % 36.66/5.18 X9 = singleton(X14)). % 36.66/5.18 cnf(c31, plain, % 36.66/5.18 $false, % 36.66/5.18 inference(strict_predicate_extension, [assumptions([a18, a19])], [c18, c30])). % 36.66/5.18 cnf(c32, plain, % 36.66/5.18 $false, % 36.66/5.18 inference(strict_predicate_extension, [assumptions([a18, a19])], [c18, c30])). % 36.66/5.18 % 36.66/5.18 cnf(c33, axiom, % 36.66/5.18 sP1(X15,X16) | ~in(X17,X15) | ~in(X16,X17)). % 36.66/5.18 cnf(a20, assumption, % 36.66/5.18 sK5(X3,X4) = X16). % 36.66/5.18 cnf(a21, assumption, % 36.66/5.18 X4 = X17). % 36.66/5.18 cnf(c34, plain, % 36.66/5.18 $false, % 36.66/5.18 inference(strict_predicate_extension, [assumptions([a20, a21])], [c12, c33])). % 36.66/5.18 cnf(c35, plain, % 36.66/5.18 sP1(X15,X16) | ~in(X17,X15), % 36.66/5.18 inference(strict_predicate_extension, [assumptions([a20, a21])], [c12, c33])). % 36.66/5.18 % 36.66/5.18 cnf(c36, plain, % 36.66/5.18 ~sP1(X3,sK5(X3,X4))). % 36.66/5.18 cnf(a22, assumption, % 36.66/5.18 X15 = X3). % 36.66/5.18 cnf(a23, assumption, % 36.66/5.18 X16 = sK5(X3,X4)). % 36.66/5.18 cnf(c37, plain, % 36.66/5.18 ~in(X17,X15), % 36.66/5.18 inference(predicate_reduction, [assumptions([a22, a23])], [c35, c36])). % 36.66/5.18 % 36.66/5.18 cnf(c38, axiom, % 36.66/5.18 in(X18,X19) | ~sP0(X18,X19)). % 36.66/5.18 cnf(a24, assumption, % 36.66/5.18 X17 = X18). % 36.66/5.18 cnf(a25, assumption, % 36.66/5.18 X15 = X19). % 36.66/5.18 cnf(c39, plain, % 36.66/5.18 $false, % 36.66/5.18 inference(strict_predicate_extension, [assumptions([a24, a25])], [c37, c38])). % 36.66/5.18 cnf(c40, plain, % 36.66/5.18 ~sP0(X18,X19), % 36.66/5.18 inference(strict_predicate_extension, [assumptions([a24, a25])], [c37, c38])). % 36.66/5.18 % 36.66/5.18 cnf(c41, plain, % 36.66/5.18 sP0(X7,X9)). % 36.66/5.18 cnf(a26, assumption, % 36.66/5.18 X18 = X7). % 36.66/5.18 cnf(a27, assumption, % 36.66/5.18 X19 = X9). % 36.66/5.18 cnf(c42, plain, % 36.66/5.18 $false, % 36.66/5.18 inference(predicate_reduction, [assumptions([a26, a27])], [c40, c41])). % 36.66/5.18 % 36.66/5.18 cnf(c43, plain, % 36.66/5.18 $false, % 36.66/5.18 inference(constraint_solving, [ % 36.66/5.18 bind(X0, singleton(sK9)), % 36.66/5.18 bind(X1, sK9), % 36.66/5.18 bind(X2, sK9), % 36.66/5.18 bind(X3, singleton(sK9)), % 36.66/5.18 bind(X4, sK9), % 36.66/5.18 bind(X5, singleton(sK9)), % 36.66/5.18 bind(X6, sK5(X3,X4)), % 36.66/5.18 bind(X7, sK9), % 36.66/5.18 bind(X8, sK6(X5,X6)), % 36.66/5.18 bind(X9, singleton(sK9)), % 36.66/5.18 bind(X10, sK5(X3,X4)), % 36.66/5.18 bind(X11, singleton(sK9)), % 36.66/5.18 bind(X12, singleton(sK9)), % 36.66/5.18 bind(X13, sK9), % 36.66/5.18 bind(X14, sK9), % 36.66/5.18 bind(X15, singleton(sK9)), % 36.66/5.18 bind(X16, sK5(X3,X4)), % 36.66/5.18 bind(X17, sK9), % 36.66/5.18 bind(X18, sK9), % 36.66/5.18 bind(X19, singleton(sK9)) % 36.66/5.18 ], % 36.66/5.18 [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])). % 36.66/5.18 % 36.66/5.18 % SZS output end IncompleteProof %------------------------------------------------------------------------------