%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : RNG001-3 : 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 20:33:20 EDT 2022 % Result : Unsatisfiable 0.19s 0.44s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : RNG001-3 : TPTP v8.1.0. Released v1.0.0. % 0.03/0.12 % 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 10:23:42 EDT 2022 % 0.13/0.33 % CPUTime : % 0.19/0.44 % SZS status Unsatisfiable % 0.19/0.44 % SZS output begin IncompleteProof % 0.19/0.44 cnf(c0, axiom, % 0.19/0.44 ~product(a,additive_identity,additive_identity)). % 0.19/0.44 cnf(c1, plain, % 0.19/0.44 ~product(a,additive_identity,additive_identity), % 0.19/0.44 inference(start, [], [c0])). % 0.19/0.44 % 0.19/0.44 cnf(c2, axiom, % 0.19/0.44 product(X0,X1,X2) | ~sum(X3,X4,X2) | ~sum(X5,X6,X1) | ~product(X0,X6,X4) | ~product(X0,X5,X3)). % 0.19/0.44 cnf(a0, assumption, % 0.19/0.44 a = X0). % 0.19/0.44 cnf(a1, assumption, % 0.19/0.44 additive_identity = X1). % 0.19/0.44 cnf(a2, assumption, % 0.19/0.44 additive_identity = X2). % 0.19/0.44 cnf(c3, plain, % 0.19/0.44 $false, % 0.19/0.44 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 0.19/0.44 cnf(c4, plain, % 0.19/0.44 ~sum(X3,X4,X2) | ~sum(X5,X6,X1) | ~product(X0,X6,X4) | ~product(X0,X5,X3), % 0.19/0.44 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 0.19/0.44 % 0.19/0.44 cnf(c5, axiom, % 0.19/0.44 sum(X7,X8,X9) | ~sum(X10,X11,X9) | ~sum(X12,X8,X11) | ~sum(X10,X12,X7)). % 0.19/0.44 cnf(a3, assumption, % 0.19/0.44 X3 = X7). % 0.19/0.44 cnf(a4, assumption, % 0.19/0.44 X4 = X8). % 0.19/0.44 cnf(a5, assumption, % 0.19/0.44 X2 = X9). % 0.19/0.44 cnf(c6, plain, % 0.19/0.44 ~sum(X5,X6,X1) | ~product(X0,X6,X4) | ~product(X0,X5,X3), % 0.19/0.44 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])). % 0.19/0.44 cnf(c7, plain, % 0.19/0.44 ~sum(X10,X11,X9) | ~sum(X12,X8,X11) | ~sum(X10,X12,X7), % 0.19/0.44 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])). % 0.19/0.44 % 0.19/0.44 cnf(c8, axiom, % 0.19/0.44 sum(additive_inverse(X13),X13,additive_identity)). % 0.19/0.44 cnf(a6, assumption, % 0.19/0.44 X10 = additive_inverse(X13)). % 0.19/0.44 cnf(a7, assumption, % 0.19/0.44 X11 = X13). % 0.19/0.44 cnf(a8, assumption, % 0.19/0.44 X9 = additive_identity). % 0.19/0.44 cnf(c9, plain, % 0.19/0.44 ~sum(X12,X8,X11) | ~sum(X10,X12,X7), % 0.19/0.44 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c7, c8])). % 0.19/0.44 cnf(c10, plain, % 0.19/0.44 $false, % 0.19/0.44 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c7, c8])). % 0.19/0.44 % 0.19/0.44 cnf(c11, axiom, % 0.19/0.44 sum(X14,X15,X16) | ~product(X17,X18,X16) | ~sum(X19,X20,X18) | ~product(X17,X20,X15) | ~product(X17,X19,X14)). % 0.19/0.44 cnf(a9, assumption, % 0.19/0.44 X12 = X14). % 0.19/0.44 cnf(a10, assumption, % 0.19/0.44 X8 = X15). % 0.19/0.44 cnf(a11, assumption, % 0.19/0.44 X11 = X16). % 0.19/0.44 cnf(c12, plain, % 0.19/0.44 ~sum(X10,X12,X7), % 0.19/0.44 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c9, c11])). % 0.19/0.44 cnf(c13, plain, % 0.19/0.44 ~product(X17,X18,X16) | ~sum(X19,X20,X18) | ~product(X17,X20,X15) | ~product(X17,X19,X14), % 0.19/0.44 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c9, c11])). % 0.19/0.44 % 0.19/0.44 cnf(c14, axiom, % 0.19/0.44 product(X21,X22,multiply(X21,X22))). % 0.19/0.44 cnf(a12, assumption, % 0.19/0.44 X17 = X21). % 0.19/0.44 cnf(a13, assumption, % 0.19/0.44 X18 = X22). % 0.19/0.44 cnf(a14, assumption, % 0.19/0.44 X16 = multiply(X21,X22)). % 0.19/0.44 cnf(c15, plain, % 0.19/0.44 ~sum(X19,X20,X18) | ~product(X17,X20,X15) | ~product(X17,X19,X14), % 0.19/0.44 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c13, c14])). % 0.19/0.44 cnf(c16, plain, % 0.19/0.44 $false, % 0.19/0.44 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c13, c14])). % 0.19/0.44 % 0.19/0.44 cnf(c17, axiom, % 0.19/0.44 sum(additive_identity,X23,X23)). % 0.19/0.44 cnf(a15, assumption, % 0.19/0.44 X19 = additive_identity). % 0.19/0.44 cnf(a16, assumption, % 0.19/0.44 X20 = X23). % 0.19/0.44 cnf(a17, assumption, % 0.19/0.44 X18 = X23). % 0.19/0.44 cnf(c18, plain, % 0.19/0.44 ~product(X17,X20,X15) | ~product(X17,X19,X14), % 0.19/0.44 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c15, c17])). % 0.19/0.44 cnf(c19, plain, % 0.19/0.44 $false, % 0.19/0.44 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c15, c17])). % 0.19/0.44 % 0.19/0.44 cnf(c20, plain, % 0.19/0.44 product(X17,X18,X16)). % 0.19/0.44 cnf(a18, assumption, % 0.19/0.44 X17 = X17). % 0.19/0.44 cnf(a19, assumption, % 0.19/0.44 X20 = X18). % 0.19/0.44 cnf(a20, assumption, % 0.19/0.44 X15 = X16). % 0.19/0.44 cnf(c21, plain, % 0.19/0.44 ~product(X17,X19,X14), % 0.19/0.44 inference(predicate_reduction, [assumptions([a18, a19, a20])], [c18, c20])). % 0.19/0.44 % 0.19/0.44 cnf(c22, plain, % 0.19/0.44 product(X17,X18,X16)). % 0.19/0.44 cnf(a21, assumption, % 0.19/0.44 X17 = X17). % 0.19/0.44 cnf(a22, assumption, % 0.19/0.44 X19 = X18). % 0.19/0.44 cnf(a23, assumption, % 0.19/0.44 X14 = X16). % 0.19/0.44 cnf(c23, plain, % 0.19/0.44 $false, % 0.19/0.44 inference(predicate_reduction, [assumptions([a21, a22, a23])], [c21, c22])). % 0.19/0.44 % 0.19/0.44 cnf(c24, axiom, % 0.19/0.44 sum(X24,X25,X26) | ~sum(X27,X28,X26) | ~sum(X29,X28,X25) | ~sum(X24,X29,X27)). % 0.19/0.44 cnf(a24, assumption, % 0.19/0.44 X10 = X24). % 0.19/0.44 cnf(a25, assumption, % 0.19/0.44 X12 = X25). % 0.19/0.44 cnf(a26, assumption, % 0.19/0.44 X7 = X26). % 0.19/0.44 cnf(c25, plain, % 0.19/0.44 $false, % 0.19/0.44 inference(strict_predicate_extension, [assumptions([a24, a25, a26])], [c12, c24])). % 0.19/0.44 cnf(c26, plain, % 0.19/0.44 ~sum(X27,X28,X26) | ~sum(X29,X28,X25) | ~sum(X24,X29,X27), % 0.19/0.44 inference(strict_predicate_extension, [assumptions([a24, a25, a26])], [c12, c24])). % 0.19/0.44 % 0.19/0.44 cnf(c27, axiom, % 0.19/0.44 sum(additive_identity,X30,X30)). % 0.19/0.44 cnf(a27, assumption, % 0.19/0.44 X27 = additive_identity). % 0.19/0.44 cnf(a28, assumption, % 0.19/0.44 X28 = X30). % 0.19/0.44 cnf(a29, assumption, % 0.19/0.44 X26 = X30). % 0.19/0.44 cnf(c28, plain, % 0.19/0.44 ~sum(X29,X28,X25) | ~sum(X24,X29,X27), % 0.19/0.44 inference(strict_predicate_extension, [assumptions([a27, a28, a29])], [c26, c27])). % 0.19/0.44 cnf(c29, plain, % 0.19/0.44 $false, % 0.19/0.44 inference(strict_predicate_extension, [assumptions([a27, a28, a29])], [c26, c27])). % 0.19/0.44 % 0.19/0.44 cnf(c30, plain, % 0.19/0.44 sum(X12,X8,X11)). % 0.19/0.44 cnf(a30, assumption, % 0.19/0.44 X29 = X12). % 0.19/0.44 cnf(a31, assumption, % 0.19/0.44 X28 = X8). % 0.19/0.44 cnf(a32, assumption, % 0.19/0.44 X25 = X11). % 0.19/0.44 cnf(c31, plain, % 0.19/0.44 ~sum(X24,X29,X27), % 0.19/0.44 inference(predicate_reduction, [assumptions([a30, a31, a32])], [c28, c30])). % 0.19/0.44 % 0.19/0.44 cnf(c32, plain, % 0.19/0.44 sum(X10,X11,X9)). % 0.19/0.44 cnf(a33, assumption, % 0.19/0.44 X24 = X10). % 0.19/0.44 cnf(a34, assumption, % 0.19/0.44 X29 = X11). % 0.19/0.44 cnf(a35, assumption, % 0.19/0.44 X27 = X9). % 0.19/0.44 cnf(c33, plain, % 0.19/0.44 $false, % 0.19/0.44 inference(predicate_reduction, [assumptions([a33, a34, a35])], [c31, c32])). % 0.19/0.44 % 0.19/0.44 cnf(c34, plain, % 0.19/0.44 sum(X19,X20,X18)). % 0.19/0.44 cnf(a36, assumption, % 0.19/0.44 X5 = X19). % 0.19/0.44 cnf(a37, assumption, % 0.19/0.44 X6 = X20). % 0.19/0.44 cnf(a38, assumption, % 0.19/0.44 X1 = X18). % 0.19/0.44 cnf(c35, plain, % 0.19/0.44 ~product(X0,X6,X4) | ~product(X0,X5,X3), % 0.19/0.44 inference(predicate_reduction, [assumptions([a36, a37, a38])], [c6, c34])). % 0.19/0.44 % 0.19/0.44 cnf(c36, plain, % 0.19/0.44 product(X17,X18,X16)). % 0.19/0.44 cnf(a39, assumption, % 0.19/0.44 X0 = X17). % 0.19/0.44 cnf(a40, assumption, % 0.19/0.44 X6 = X18). % 0.19/0.44 cnf(a41, assumption, % 0.19/0.44 X4 = X16). % 0.19/0.44 cnf(c37, plain, % 0.19/0.44 ~product(X0,X5,X3), % 0.19/0.44 inference(predicate_reduction, [assumptions([a39, a40, a41])], [c35, c36])). % 0.19/0.44 % 0.19/0.44 cnf(c38, plain, % 0.19/0.44 product(X17,X18,X16)). % 0.19/0.44 cnf(a42, assumption, % 0.19/0.44 X0 = X17). % 0.19/0.44 cnf(a43, assumption, % 0.19/0.44 X5 = X18). % 0.19/0.44 cnf(a44, assumption, % 0.19/0.44 X3 = X16). % 0.19/0.44 cnf(c39, plain, % 0.19/0.44 $false, % 0.19/0.44 inference(predicate_reduction, [assumptions([a42, a43, a44])], [c37, c38])). % 0.19/0.44 % 0.19/0.44 cnf(c40, plain, % 0.19/0.44 $false, % 0.19/0.44 inference(constraint_solving, [ % 0.19/0.44 bind(X0, a), % 0.19/0.44 bind(X1, additive_identity), % 0.19/0.44 bind(X2, additive_identity), % 0.19/0.44 bind(X3, multiply(X21,X22)), % 0.19/0.44 bind(X4, multiply(X21,X22)), % 0.19/0.44 bind(X5, additive_identity), % 0.19/0.44 bind(X6, additive_identity), % 0.19/0.44 bind(X7, multiply(X21,X22)), % 0.19/0.44 bind(X8, multiply(X21,X22)), % 0.19/0.44 bind(X9, additive_identity), % 0.19/0.44 bind(X10, additive_inverse(X13)), % 0.19/0.44 bind(X11, multiply(X21,X22)), % 0.19/0.44 bind(X12, multiply(X21,X22)), % 0.19/0.44 bind(X13, multiply(X21,X22)), % 0.19/0.44 bind(X14, multiply(X21,X22)), % 0.19/0.44 bind(X15, multiply(X21,X22)), % 0.19/0.44 bind(X16, multiply(X21,X22)), % 0.19/0.44 bind(X17, a), % 0.19/0.44 bind(X18, additive_identity), % 0.19/0.44 bind(X19, additive_identity), % 0.19/0.44 bind(X20, additive_identity), % 0.19/0.44 bind(X21, a), % 0.19/0.44 bind(X22, additive_identity), % 0.19/0.44 bind(X23, additive_identity), % 0.19/0.44 bind(X24, additive_inverse(X13)), % 0.19/0.44 bind(X25, multiply(X21,X22)), % 0.19/0.44 bind(X26, multiply(X21,X22)), % 0.19/0.44 bind(X27, additive_identity), % 0.19/0.44 bind(X28, multiply(X21,X22)), % 0.19/0.44 bind(X29, multiply(X21,X22)), % 0.19/0.44 bind(X30, multiply(X21,X22)) % 0.19/0.44 ], % 0.19/0.44 [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, a39, a40, a41, a42, a43, a44])). % 0.19/0.44 % 0.19/0.44 % SZS output end IncompleteProof %------------------------------------------------------------------------------