%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : GRP194+1 : TPTP v8.1.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % Computer : n017.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 : Sat Jul 16 10:09:39 EDT 2022 % Result : Theorem 57.30s 7.58s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : GRP194+1 : TPTP v8.1.0. Released v2.0.0. % 0.03/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.12/0.34 % Computer : n017.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Mon Jun 13 11:31:08 EDT 2022 % 0.12/0.34 % CPUTime : % 57.30/7.58 % SZS status Theorem % 57.30/7.58 % SZS output begin IncompleteProof % 57.30/7.58 cnf(c0, axiom, % 57.30/7.58 ~left_zero(h,phi(f_left_zero))). % 57.30/7.58 cnf(c1, plain, % 57.30/7.58 ~left_zero(h,phi(f_left_zero)), % 57.30/7.58 inference(start, [], [c0])). % 57.30/7.58 % 57.30/7.58 cnf(c2, axiom, % 57.30/7.58 left_zero(X0,X1) | ~sP0(X1,X0)). % 57.30/7.58 cnf(a0, assumption, % 57.30/7.58 h = X0). % 57.30/7.58 cnf(a1, assumption, % 57.30/7.58 phi(f_left_zero) = X1). % 57.30/7.58 cnf(c3, plain, % 57.30/7.58 $false, % 57.30/7.58 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])). % 57.30/7.58 cnf(c4, plain, % 57.30/7.58 ~sP0(X1,X0), % 57.30/7.58 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])). % 57.30/7.58 % 57.30/7.58 cnf(c5, axiom, % 57.30/7.58 sP0(X2,X3) | group_member(sK2(X2,X3),X3) | ~group_member(X2,X3)). % 57.30/7.58 cnf(a2, assumption, % 57.30/7.58 X1 = X2). % 57.30/7.58 cnf(a3, assumption, % 57.30/7.58 X0 = X3). % 57.30/7.58 cnf(c6, plain, % 57.30/7.58 $false, % 57.30/7.58 inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])). % 57.30/7.58 cnf(c7, plain, % 57.30/7.58 group_member(sK2(X2,X3),X3) | ~group_member(X2,X3), % 57.30/7.58 inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])). % 57.30/7.58 % 57.30/7.58 cnf(c8, axiom, % 57.30/7.58 group_member(sK1(X4),f) | ~group_member(X4,h)). % 57.30/7.58 cnf(a4, assumption, % 57.30/7.58 sK2(X2,X3) = X4). % 57.30/7.58 cnf(a5, assumption, % 57.30/7.58 X3 = h). % 57.30/7.58 cnf(c9, plain, % 57.30/7.58 ~group_member(X2,X3), % 57.30/7.58 inference(strict_predicate_extension, [assumptions([a4, a5])], [c7, c8])). % 57.30/7.58 cnf(c10, plain, % 57.30/7.58 group_member(sK1(X4),f), % 57.30/7.58 inference(strict_predicate_extension, [assumptions([a4, a5])], [c7, c8])). % 57.30/7.58 % 57.30/7.58 cnf(c11, axiom, % 57.30/7.58 multiply(X5,X6,X7) = X6 | ~group_member(X7,X5) | ~sP0(X6,X5)). % 57.30/7.58 cnf(a6, assumption, % 57.30/7.58 sK1(X4) = X7). % 57.30/7.58 cnf(a7, assumption, % 57.30/7.58 f = X5). % 57.30/7.58 cnf(c12, plain, % 57.30/7.58 $false, % 57.30/7.58 inference(strict_predicate_extension, [assumptions([a6, a7])], [c10, c11])). % 57.30/7.58 cnf(c13, plain, % 57.30/7.58 multiply(X5,X6,X7) = X6 | ~sP0(X6,X5), % 57.30/7.58 inference(strict_predicate_extension, [assumptions([a6, a7])], [c10, c11])). % 57.30/7.58 % 57.30/7.58 cnf(c14, axiom, % 57.30/7.58 multiply(h,phi(X8),phi(X9)) = phi(multiply(f,X8,X9)) | ~group_member(X9,f) | ~group_member(X8,f)). % 57.30/7.58 cnf(a8, assumption, % 57.30/7.58 multiply(f,X8,X9) = multiply(X5,X6,X7)). % 57.30/7.58 cnf(c15, plain, % 57.30/7.58 ~sP0(X6,X5), % 57.30/7.58 inference(strict_subterm_extension, [assumptions([a8])], [c13, c14])). % 57.30/7.58 cnf(c16, plain, % 57.30/7.58 ~group_member(X9,f) | ~group_member(X8,f), % 57.30/7.58 inference(strict_subterm_extension, [assumptions([a8])], [c13, c14])). % 57.30/7.58 cnf(c17, plain, % 57.30/7.58 multiply(h,phi(X8),phi(X9)) = phi(X6), % 57.30/7.58 inference(strict_subterm_extension, [assumptions([a8])], [c13, c14])). % 57.30/7.58 % 57.30/7.58 cnf(c18, axiom, % 57.30/7.58 phi(sK1(X10)) = X10 | ~group_member(X10,h)). % 57.30/7.58 cnf(a9, assumption, % 57.30/7.58 phi(X9) = phi(sK1(X10))). % 57.30/7.58 cnf(c19, plain, % 57.30/7.58 $false, % 57.30/7.58 inference(strict_function_extension, [assumptions([a9])], [c17, c18])). % 57.30/7.58 cnf(c20, plain, % 57.30/7.58 ~group_member(X10,h), % 57.30/7.58 inference(strict_function_extension, [assumptions([a9])], [c17, c18])). % 57.30/7.58 cnf(c21, plain, % 57.30/7.58 X11 != X10 | multiply(h,phi(X8),X11) = phi(X6), % 57.30/7.58 inference(strict_function_extension, [assumptions([a9])], [c17, c18])). % 57.30/7.58 % 57.30/7.58 cnf(a10, assumption, % 57.30/7.58 X11 = X10). % 57.30/7.58 cnf(c22, plain, % 57.30/7.58 multiply(h,phi(X8),X11) = phi(X6), % 57.30/7.58 inference(reflexivity, [assumptions([a10])], [c21])). % 57.30/7.58 % 57.30/7.58 cnf(c23, axiom, % 57.30/7.58 sP0(X12,X13) | multiply(X13,X12,sK2(X12,X13)) != X12 | ~group_member(X12,X13)). % 57.30/7.58 cnf(a11, assumption, % 57.30/7.58 multiply(X13,X12,sK2(X12,X13)) = multiply(h,phi(X8),X11)). % 57.30/7.58 cnf(a12, assumption, % 57.30/7.58 phi(X6) = X14). % 57.30/7.58 cnf(c24, plain, % 57.30/7.58 $false, % 57.30/7.58 inference(strict_subterm_extension, [assumptions([a11, a12])], [c22, c23])). % 57.30/7.58 cnf(c25, plain, % 57.30/7.58 sP0(X12,X13) | ~group_member(X12,X13), % 57.30/7.58 inference(strict_subterm_extension, [assumptions([a11, a12])], [c22, c23])). % 57.30/7.58 cnf(c26, plain, % 57.30/7.58 X14 != X12, % 57.30/7.58 inference(strict_subterm_extension, [assumptions([a11, a12])], [c22, c23])). % 57.30/7.58 % 57.30/7.58 cnf(a13, assumption, % 57.30/7.58 X14 = X12). % 57.30/7.58 cnf(c27, plain, % 57.30/7.58 $false, % 57.30/7.58 inference(reflexivity, [assumptions([a13])], [c26])). % 57.30/7.58 % 57.30/7.58 cnf(c28, plain, % 57.30/7.58 ~sP0(X1,X0)). % 57.30/7.58 cnf(a14, assumption, % 57.30/7.58 X12 = X1). % 57.30/7.58 cnf(a15, assumption, % 57.30/7.58 X13 = X0). % 57.30/7.58 cnf(c29, plain, % 57.30/7.58 ~group_member(X12,X13), % 57.30/7.58 inference(predicate_reduction, [assumptions([a14, a15])], [c25, c28])). % 57.30/7.58 % 57.30/7.58 cnf(c30, axiom, % 57.30/7.58 group_member(phi(X15),h) | ~group_member(X15,f)). % 57.30/7.58 cnf(a16, assumption, % 57.30/7.58 X12 = phi(X15)). % 57.30/7.58 cnf(a17, assumption, % 57.30/7.58 X13 = h). % 57.30/7.58 cnf(c31, plain, % 57.30/7.58 $false, % 57.30/7.58 inference(strict_predicate_extension, [assumptions([a16, a17])], [c29, c30])). % 57.30/7.58 cnf(c32, plain, % 57.30/7.58 ~group_member(X15,f), % 57.30/7.58 inference(strict_predicate_extension, [assumptions([a16, a17])], [c29, c30])). % 57.30/7.58 % 57.30/7.58 cnf(c33, axiom, % 57.30/7.58 group_member(X16,X17) | ~sP0(X16,X17)). % 57.30/7.58 cnf(a18, assumption, % 57.30/7.58 X15 = X16). % 57.30/7.58 cnf(a19, assumption, % 57.30/7.58 f = X17). % 57.30/7.58 cnf(c34, plain, % 57.30/7.58 $false, % 57.30/7.58 inference(strict_predicate_extension, [assumptions([a18, a19])], [c32, c33])). % 57.30/7.58 cnf(c35, plain, % 57.30/7.58 ~sP0(X16,X17), % 57.30/7.58 inference(strict_predicate_extension, [assumptions([a18, a19])], [c32, c33])). % 57.30/7.58 % 57.30/7.58 cnf(c36, axiom, % 57.30/7.58 sP0(X18,X19) | ~left_zero(X19,X18)). % 57.30/7.58 cnf(a20, assumption, % 57.30/7.58 X16 = X18). % 57.30/7.58 cnf(a21, assumption, % 57.30/7.58 X17 = X19). % 57.30/7.58 cnf(c37, plain, % 57.30/7.58 $false, % 57.30/7.58 inference(strict_predicate_extension, [assumptions([a20, a21])], [c35, c36])). % 57.30/7.58 cnf(c38, plain, % 57.30/7.58 ~left_zero(X19,X18), % 57.30/7.58 inference(strict_predicate_extension, [assumptions([a20, a21])], [c35, c36])). % 57.30/7.58 % 57.30/7.58 cnf(c39, axiom, % 57.30/7.58 left_zero(f,f_left_zero)). % 57.30/7.58 cnf(a22, assumption, % 57.30/7.58 X19 = f). % 57.30/7.58 cnf(a23, assumption, % 57.30/7.58 X18 = f_left_zero). % 57.30/7.58 cnf(c40, plain, % 57.30/7.58 $false, % 57.30/7.58 inference(strict_predicate_extension, [assumptions([a22, a23])], [c38, c39])). % 57.30/7.58 cnf(c41, plain, % 57.30/7.58 $false, % 57.30/7.58 inference(strict_predicate_extension, [assumptions([a22, a23])], [c38, c39])). % 57.30/7.58 % 57.30/7.58 cnf(c42, plain, % 57.30/7.58 group_member(sK2(X2,X3),X3)). % 57.30/7.58 cnf(a24, assumption, % 57.30/7.58 X10 = sK2(X2,X3)). % 57.30/7.58 cnf(a25, assumption, % 57.30/7.58 h = X3). % 57.30/7.58 cnf(c43, plain, % 57.30/7.58 $false, % 57.30/7.58 inference(predicate_reduction, [assumptions([a24, a25])], [c20, c42])). % 57.30/7.58 % 57.30/7.58 cnf(c44, plain, % 57.30/7.58 group_member(sK1(X4),f)). % 57.30/7.58 cnf(a26, assumption, % 57.30/7.58 X9 = sK1(X4)). % 57.30/7.58 cnf(a27, assumption, % 57.30/7.58 f = f). % 57.30/7.58 cnf(c45, plain, % 57.30/7.58 ~group_member(X8,f), % 57.30/7.58 inference(predicate_reduction, [assumptions([a26, a27])], [c16, c44])). % 57.30/7.58 % 57.30/7.58 cnf(c46, plain, % 57.30/7.58 group_member(X15,f)). % 57.30/7.58 cnf(a28, assumption, % 57.30/7.58 X8 = X15). % 57.30/7.58 cnf(a29, assumption, % 57.30/7.58 f = f). % 57.30/7.58 cnf(c47, plain, % 57.30/7.58 $false, % 57.30/7.58 inference(predicate_reduction, [assumptions([a28, a29])], [c45, c46])). % 57.30/7.58 % 57.30/7.58 cnf(c48, plain, % 57.30/7.58 sP0(X16,X17)). % 57.30/7.58 cnf(a30, assumption, % 57.30/7.58 X6 = X16). % 57.30/7.58 cnf(a31, assumption, % 57.30/7.58 X5 = X17). % 57.30/7.58 cnf(c49, plain, % 57.30/7.58 $false, % 57.30/7.58 inference(predicate_reduction, [assumptions([a30, a31])], [c15, c48])). % 57.30/7.58 % 57.30/7.58 cnf(c50, plain, % 57.30/7.58 group_member(X12,X13)). % 57.30/7.58 cnf(a32, assumption, % 57.30/7.58 X2 = X12). % 57.30/7.58 cnf(a33, assumption, % 57.30/7.58 X3 = X13). % 57.30/7.58 cnf(c51, plain, % 57.30/7.58 $false, % 57.30/7.58 inference(predicate_reduction, [assumptions([a32, a33])], [c9, c50])). % 57.30/7.58 % 57.30/7.58 cnf(c52, plain, % 57.30/7.58 $false, % 57.30/7.58 inference(constraint_solving, [ % 57.30/7.58 bind(X0, h), % 57.30/7.58 bind(X1, phi(f_left_zero)), % 57.30/7.58 bind(X2, phi(f_left_zero)), % 57.30/7.58 bind(X3, h), % 57.30/7.58 bind(X4, sK2(X2,X3)), % 57.30/7.58 bind(X5, f), % 57.30/7.58 bind(X6, f_left_zero), % 57.30/7.58 bind(X7, sK1(X4)), % 57.30/7.58 bind(X8, f_left_zero), % 57.30/7.58 bind(X9, sK1(X4)), % 57.30/7.58 bind(X10, sK2(X2,X3)), % 57.30/7.58 bind(X11, sK2(X2,X3)), % 57.30/7.58 bind(X12, phi(X8)), % 57.30/7.58 bind(X13, h), % 57.30/7.58 bind(X14, phi(X6)), % 57.30/7.58 bind(X15, f_left_zero), % 57.30/7.58 bind(X16, f_left_zero), % 57.30/7.58 bind(X17, f), % 57.30/7.58 bind(X18, f_left_zero), % 57.30/7.58 bind(X19, f) % 57.30/7.58 ], % 57.30/7.58 [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])). % 57.30/7.58 % 57.30/7.58 % SZS output end IncompleteProof %------------------------------------------------------------------------------