%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : RNG038-1 : TPTP v8.1.0. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % Computer : n023.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 : Mon Jul 18 20:33:25 EDT 2022 % Result : Unsatisfiable 4.16s 0.92s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.12 % Problem : RNG038-1 : TPTP v8.1.0. Released v1.0.0. % 0.10/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.13/0.33 % Computer : n023.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 600 % 0.13/0.33 % DateTime : Mon May 30 08:56:12 EDT 2022 % 0.13/0.33 % CPUTime : % 4.16/0.92 % SZS status Unsatisfiable % 4.16/0.92 % SZS output begin IncompleteProof % 4.16/0.92 cnf(c0, axiom, % 4.16/0.92 additive_identity != a). % 4.16/0.92 cnf(c1, plain, % 4.16/0.92 additive_identity != a, % 4.16/0.92 inference(start, [], [c0])). % 4.16/0.92 % 4.16/0.92 cnf(c2, axiom, % 4.16/0.92 X0 = X1 | ~sum(X2,X3,X1) | ~sum(X2,X3,X0)). % 4.16/0.92 cnf(a0, assumption, % 4.16/0.92 a = X0). % 4.16/0.92 cnf(c3, plain, % 4.16/0.92 $false, % 4.16/0.92 inference(variable_extension, [assumptions([a0])], [c1, c2])). % 4.16/0.92 cnf(c4, plain, % 4.16/0.92 ~sum(X2,X3,X1) | ~sum(X2,X3,X0), % 4.16/0.92 inference(variable_extension, [assumptions([a0])], [c1, c2])). % 4.16/0.92 cnf(c5, plain, % 4.16/0.92 X1 != X4 | additive_identity != X4, % 4.16/0.92 inference(variable_extension, [assumptions([a0])], [c1, c2])). % 4.16/0.92 % 4.16/0.92 cnf(a1, assumption, % 4.16/0.92 X1 = X4). % 4.16/0.92 cnf(c6, plain, % 4.16/0.92 additive_identity != X4, % 4.16/0.92 inference(reflexivity, [assumptions([a1])], [c5])). % 4.16/0.92 % 4.16/0.92 cnf(a2, assumption, % 4.16/0.92 additive_identity = X4). % 4.16/0.92 cnf(c7, plain, % 4.16/0.92 $false, % 4.16/0.92 inference(reflexivity, [assumptions([a2])], [c6])). % 4.16/0.92 % 4.16/0.92 cnf(c8, axiom, % 4.16/0.92 sum(X5,X6,X7) | ~sum(X8,X9,X7) | ~sum(X10,X6,X9) | ~sum(X8,X10,X5)). % 4.16/0.92 cnf(a3, assumption, % 4.16/0.92 X2 = X5). % 4.16/0.92 cnf(a4, assumption, % 4.16/0.92 X3 = X6). % 4.16/0.92 cnf(a5, assumption, % 4.16/0.92 X1 = X7). % 4.16/0.92 cnf(c9, plain, % 4.16/0.92 ~sum(X2,X3,X0), % 4.16/0.92 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c8])). % 4.16/0.92 cnf(c10, plain, % 4.16/0.92 ~sum(X8,X9,X7) | ~sum(X10,X6,X9) | ~sum(X8,X10,X5), % 4.16/0.92 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c8])). % 4.16/0.92 % 4.16/0.92 cnf(c11, axiom, % 4.16/0.92 sum(additive_inverse(X11),X11,additive_identity)). % 4.16/0.92 cnf(a6, assumption, % 4.16/0.92 X8 = additive_inverse(X11)). % 4.16/0.92 cnf(a7, assumption, % 4.16/0.92 X9 = X11). % 4.16/0.92 cnf(a8, assumption, % 4.16/0.92 X7 = additive_identity). % 4.16/0.92 cnf(c12, plain, % 4.16/0.92 ~sum(X10,X6,X9) | ~sum(X8,X10,X5), % 4.16/0.92 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c10, c11])). % 4.16/0.92 cnf(c13, plain, % 4.16/0.92 $false, % 4.16/0.92 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c10, c11])). % 4.16/0.92 % 4.16/0.92 cnf(c14, axiom, % 4.16/0.92 sum(X12,X13,X14) | ~product(X15,X16,X14) | ~sum(X17,X18,X15) | ~product(X18,X16,X13) | ~product(X17,X16,X12)). % 4.16/0.92 cnf(a9, assumption, % 4.16/0.92 X10 = X12). % 4.16/0.92 cnf(a10, assumption, % 4.16/0.92 X6 = X13). % 4.16/0.92 cnf(a11, assumption, % 4.16/0.92 X9 = X14). % 4.16/0.92 cnf(c15, plain, % 4.16/0.92 ~sum(X8,X10,X5), % 4.16/0.92 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c12, c14])). % 4.16/0.92 cnf(c16, plain, % 4.16/0.92 ~product(X15,X16,X14) | ~sum(X17,X18,X15) | ~product(X18,X16,X13) | ~product(X17,X16,X12), % 4.16/0.92 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c12, c14])). % 4.16/0.92 % 4.16/0.92 cnf(c17, axiom, % 4.16/0.92 product(additive_identity,h(additive_identity,X19),X19)). % 4.16/0.92 cnf(a12, assumption, % 4.16/0.92 X15 = additive_identity). % 4.16/0.92 cnf(a13, assumption, % 4.16/0.92 X16 = h(additive_identity,X19)). % 4.16/0.92 cnf(a14, assumption, % 4.16/0.92 X14 = X19). % 4.16/0.92 cnf(c18, plain, % 4.16/0.92 ~sum(X17,X18,X15) | ~product(X18,X16,X13) | ~product(X17,X16,X12), % 4.16/0.92 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c16, c17])). % 4.16/0.92 cnf(c19, plain, % 4.16/0.92 $false, % 4.16/0.92 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c16, c17])). % 4.16/0.92 % 4.16/0.92 cnf(c20, axiom, % 4.16/0.92 sum(additive_identity,X20,X20)). % 4.16/0.92 cnf(a15, assumption, % 4.16/0.92 X17 = additive_identity). % 4.16/0.92 cnf(a16, assumption, % 4.16/0.92 X18 = X20). % 4.16/0.92 cnf(a17, assumption, % 4.16/0.92 X15 = X20). % 4.16/0.92 cnf(c21, plain, % 4.16/0.92 ~product(X18,X16,X13) | ~product(X17,X16,X12), % 4.16/0.92 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c18, c20])). % 4.16/0.92 cnf(c22, plain, % 4.16/0.92 $false, % 4.16/0.92 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c18, c20])). % 4.16/0.92 % 4.16/0.92 cnf(c23, plain, % 4.16/0.92 product(X15,X16,X14)). % 4.16/0.92 cnf(a18, assumption, % 4.16/0.92 X18 = X15). % 4.16/0.92 cnf(a19, assumption, % 4.16/0.92 X16 = X16). % 4.16/0.92 cnf(a20, assumption, % 4.16/0.92 X13 = X14). % 4.16/0.92 cnf(c24, plain, % 4.16/0.92 ~product(X17,X16,X12), % 4.16/0.92 inference(predicate_reduction, [assumptions([a18, a19, a20])], [c21, c23])). % 4.16/0.92 % 4.16/0.92 cnf(c25, plain, % 4.16/0.92 product(X15,X16,X14)). % 4.16/0.92 cnf(a21, assumption, % 4.16/0.92 X17 = X15). % 4.16/0.92 cnf(a22, assumption, % 4.16/0.92 X16 = X16). % 4.16/0.92 cnf(a23, assumption, % 4.16/0.92 X12 = X14). % 4.16/0.92 cnf(c26, plain, % 4.16/0.92 $false, % 4.16/0.92 inference(predicate_reduction, [assumptions([a21, a22, a23])], [c24, c25])). % 4.16/0.92 % 4.16/0.92 cnf(c27, plain, % 4.16/0.92 sum(X8,X9,X7)). % 4.16/0.92 cnf(a24, assumption, % 4.16/0.92 X8 = X8). % 4.16/0.92 cnf(a25, assumption, % 4.16/0.92 X10 = X9). % 4.16/0.92 cnf(a26, assumption, % 4.16/0.92 X5 = X7). % 4.16/0.92 cnf(c28, plain, % 4.16/0.92 $false, % 4.16/0.92 inference(predicate_reduction, [assumptions([a24, a25, a26])], [c15, c27])). % 4.16/0.92 % 4.16/0.92 cnf(c29, axiom, % 4.16/0.92 sum(additive_identity,X21,X21)). % 4.16/0.92 cnf(a27, assumption, % 4.16/0.92 X2 = additive_identity). % 4.16/0.92 cnf(a28, assumption, % 4.16/0.92 X3 = X21). % 4.16/0.92 cnf(a29, assumption, % 4.16/0.92 X0 = X21). % 4.16/0.92 cnf(c30, plain, % 4.16/0.92 $false, % 4.16/0.92 inference(strict_predicate_extension, [assumptions([a27, a28, a29])], [c9, c29])). % 4.16/0.92 cnf(c31, plain, % 4.16/0.92 $false, % 4.16/0.92 inference(strict_predicate_extension, [assumptions([a27, a28, a29])], [c9, c29])). % 4.16/0.92 % 4.16/0.92 cnf(c32, plain, % 4.16/0.92 $false, % 4.16/0.92 inference(constraint_solving, [ % 4.16/0.92 bind(X0, a), % 4.16/0.92 bind(X1, additive_identity), % 4.16/0.92 bind(X2, additive_identity), % 4.16/0.92 bind(X3, a), % 4.16/0.92 bind(X4, additive_identity), % 4.16/0.92 bind(X5, additive_identity), % 4.16/0.92 bind(X6, a), % 4.16/0.92 bind(X7, additive_identity), % 4.16/0.92 bind(X8, additive_inverse(X11)), % 4.16/0.92 bind(X9, a), % 4.16/0.92 bind(X10, a), % 4.16/0.92 bind(X11, a), % 4.16/0.92 bind(X12, a), % 4.16/0.92 bind(X13, a), % 4.16/0.92 bind(X14, a), % 4.16/0.92 bind(X15, additive_identity), % 4.16/0.92 bind(X16, h(additive_identity,X19)), % 4.16/0.92 bind(X17, additive_identity), % 4.16/0.92 bind(X18, additive_identity), % 4.16/0.92 bind(X19, a), % 4.16/0.92 bind(X20, additive_identity), % 4.16/0.92 bind(X21, a) % 4.16/0.92 ], % 4.16/0.92 [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])). % 4.16/0.92 % 4.16/0.92 % SZS output end IncompleteProof %------------------------------------------------------------------------------