%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : SET839-2 : 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 : n020.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 02:48:34 EDT 2022 % Result : Unsatisfiable 0.13s 0.38s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SET839-2 : 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 : n020.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 : Sun Jul 10 14:13:28 EDT 2022 % 0.13/0.34 % CPUTime : % 0.13/0.38 % SZS status Unsatisfiable % 0.13/0.38 % SZS output begin IncompleteProof % 0.13/0.38 cnf(c0, axiom, % 0.13/0.38 ~c_in(X0,v_S,tc_set(t_a)) | ~c_in(X1,v_S,tc_set(t_a)) | c_lessequals(X0,X1,tc_set(t_a))). % 0.13/0.38 cnf(c1, plain, % 0.13/0.38 ~c_in(X0,v_S,tc_set(t_a)) | ~c_in(X1,v_S,tc_set(t_a)) | c_lessequals(X0,X1,tc_set(t_a)), % 0.13/0.38 inference(start, [], [c0])). % 0.13/0.38 % 0.13/0.38 cnf(c2, axiom, % 0.13/0.38 c_lessequals(X2,X3,tc_set(X4)) | c_in(c_Main_OsubsetI__1(X2,X3,X4),X2,X4)). % 0.13/0.38 cnf(a0, assumption, % 0.13/0.38 X0 = c_Main_OsubsetI__1(X2,X3,X4)). % 0.13/0.38 cnf(a1, assumption, % 0.13/0.38 v_S = X2). % 0.13/0.38 cnf(a2, assumption, % 0.13/0.38 tc_set(t_a) = X4). % 0.13/0.38 cnf(c3, plain, % 0.13/0.38 ~c_in(X1,v_S,tc_set(t_a)) | c_lessequals(X0,X1,tc_set(t_a)), % 0.13/0.38 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 0.13/0.38 cnf(c4, plain, % 0.13/0.38 c_lessequals(X2,X3,tc_set(X4)), % 0.13/0.38 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 0.13/0.38 % 0.13/0.38 cnf(c5, axiom, % 0.13/0.38 ~c_lessequals(v_S,c_insert(X5,c_emptyset,tc_set(t_a)),tc_set(tc_set(t_a)))). % 0.13/0.38 cnf(a3, assumption, % 0.13/0.38 X2 = v_S). % 0.13/0.38 cnf(a4, assumption, % 0.13/0.38 X3 = c_insert(X5,c_emptyset,tc_set(t_a))). % 0.13/0.38 cnf(a5, assumption, % 0.13/0.38 tc_set(X4) = tc_set(tc_set(t_a))). % 0.13/0.38 cnf(c6, plain, % 0.13/0.38 $false, % 0.13/0.38 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])). % 0.13/0.38 cnf(c7, plain, % 0.13/0.38 $false, % 0.13/0.38 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])). % 0.13/0.38 % 0.13/0.38 cnf(c8, axiom, % 0.13/0.38 c_lessequals(X6,X7,tc_set(X8)) | c_in(c_Main_OsubsetI__1(X6,X7,X8),X6,X8)). % 0.13/0.38 cnf(a6, assumption, % 0.13/0.38 X1 = c_Main_OsubsetI__1(X6,X7,X8)). % 0.13/0.38 cnf(a7, assumption, % 0.13/0.38 v_S = X6). % 0.13/0.38 cnf(a8, assumption, % 0.13/0.38 tc_set(t_a) = X8). % 0.13/0.38 cnf(c9, plain, % 0.13/0.38 c_lessequals(X0,X1,tc_set(t_a)), % 0.13/0.38 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c3, c8])). % 0.13/0.38 cnf(c10, plain, % 0.13/0.38 c_lessequals(X6,X7,tc_set(X8)), % 0.13/0.38 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c3, c8])). % 0.13/0.38 % 0.13/0.38 cnf(c11, axiom, % 0.13/0.38 ~c_lessequals(v_S,c_insert(X9,c_emptyset,tc_set(t_a)),tc_set(tc_set(t_a)))). % 0.13/0.38 cnf(a9, assumption, % 0.13/0.38 X6 = v_S). % 0.13/0.38 cnf(a10, assumption, % 0.13/0.38 X7 = c_insert(X9,c_emptyset,tc_set(t_a))). % 0.13/0.38 cnf(a11, assumption, % 0.13/0.38 tc_set(X8) = tc_set(tc_set(t_a))). % 0.13/0.38 cnf(c12, plain, % 0.13/0.38 $false, % 0.13/0.38 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c10, c11])). % 0.13/0.38 cnf(c13, plain, % 0.13/0.38 $false, % 0.13/0.38 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c10, c11])). % 0.13/0.38 % 0.13/0.38 cnf(c14, axiom, % 0.13/0.38 X10 = X11 | ~c_lessequals(X11,X10,tc_set(X12)) | ~c_lessequals(X10,X11,tc_set(X12))). % 0.13/0.38 cnf(a12, assumption, % 0.13/0.38 X0 = X11). % 0.13/0.38 cnf(a13, assumption, % 0.13/0.38 X1 = X10). % 0.13/0.38 cnf(a14, assumption, % 0.13/0.38 tc_set(t_a) = tc_set(X12)). % 0.13/0.38 cnf(c15, plain, % 0.13/0.38 $false, % 0.13/0.38 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c9, c14])). % 0.13/0.38 cnf(c16, plain, % 0.13/0.38 X10 = X11 | ~c_lessequals(X10,X11,tc_set(X12)), % 0.13/0.38 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c9, c14])). % 0.13/0.38 % 0.13/0.38 cnf(c17, axiom, % 0.13/0.38 c_lessequals(X13,X14,tc_set(X15)) | ~c_in(c_Main_OsubsetI__1(X13,X14,X15),X14,X15)). % 0.13/0.38 cnf(a15, assumption, % 0.13/0.38 c_Main_OsubsetI__1(X13,X14,X15) = X10). % 0.13/0.38 cnf(c18, plain, % 0.13/0.38 ~c_lessequals(X10,X11,tc_set(X12)), % 0.13/0.38 inference(strict_subterm_extension, [assumptions([a15])], [c16, c17])). % 0.13/0.38 cnf(c19, plain, % 0.13/0.38 c_lessequals(X13,X14,tc_set(X15)), % 0.13/0.38 inference(strict_subterm_extension, [assumptions([a15])], [c16, c17])). % 0.13/0.38 cnf(c20, plain, % 0.13/0.38 ~c_in(X11,X14,X15), % 0.13/0.38 inference(strict_subterm_extension, [assumptions([a15])], [c16, c17])). % 0.13/0.38 % 0.13/0.38 cnf(c21, axiom, % 0.13/0.38 c_in(X16,c_insert(X16,X17,X18),X18)). % 0.13/0.38 cnf(a16, assumption, % 0.13/0.38 X11 = X16). % 0.13/0.38 cnf(a17, assumption, % 0.13/0.38 X14 = c_insert(X16,X17,X18)). % 0.13/0.38 cnf(a18, assumption, % 0.13/0.38 X15 = X18). % 0.13/0.38 cnf(c22, plain, % 0.13/0.38 $false, % 0.13/0.38 inference(strict_predicate_extension, [assumptions([a16, a17, a18])], [c20, c21])). % 0.13/0.38 cnf(c23, plain, % 0.13/0.38 $false, % 0.13/0.38 inference(strict_predicate_extension, [assumptions([a16, a17, a18])], [c20, c21])). % 0.13/0.38 % 0.13/0.38 cnf(c24, plain, % 0.13/0.38 ~c_lessequals(X6,X7,tc_set(X8))). % 0.13/0.38 cnf(a19, assumption, % 0.13/0.38 X13 = X6). % 0.13/0.38 cnf(a20, assumption, % 0.13/0.38 X14 = X7). % 0.13/0.38 cnf(a21, assumption, % 0.13/0.38 tc_set(X15) = tc_set(X8)). % 0.13/0.38 cnf(c25, plain, % 0.13/0.38 $false, % 0.13/0.38 inference(predicate_reduction, [assumptions([a19, a20, a21])], [c19, c24])). % 0.13/0.38 % 0.13/0.38 cnf(c26, axiom, % 0.13/0.38 ~c_in(X19,v_S,tc_set(t_a)) | ~c_in(X20,v_S,tc_set(t_a)) | c_lessequals(X19,X20,tc_set(t_a))). % 0.13/0.38 cnf(a22, assumption, % 0.13/0.38 X10 = X19). % 0.13/0.38 cnf(a23, assumption, % 0.13/0.38 X11 = X20). % 0.13/0.38 cnf(a24, assumption, % 0.13/0.38 tc_set(X12) = tc_set(t_a)). % 0.13/0.38 cnf(c27, plain, % 0.13/0.38 $false, % 0.13/0.38 inference(strict_predicate_extension, [assumptions([a22, a23, a24])], [c18, c26])). % 0.13/0.38 cnf(c28, plain, % 0.13/0.38 ~c_in(X19,v_S,tc_set(t_a)) | ~c_in(X20,v_S,tc_set(t_a)), % 0.13/0.38 inference(strict_predicate_extension, [assumptions([a22, a23, a24])], [c18, c26])). % 0.13/0.38 % 0.13/0.38 cnf(c29, plain, % 0.13/0.38 c_in(X1,v_S,tc_set(t_a))). % 0.13/0.38 cnf(a25, assumption, % 0.13/0.38 X19 = X1). % 0.13/0.38 cnf(a26, assumption, % 0.13/0.38 v_S = v_S). % 0.13/0.38 cnf(a27, assumption, % 0.13/0.38 tc_set(t_a) = tc_set(t_a)). % 0.13/0.38 cnf(c30, plain, % 0.13/0.38 ~c_in(X20,v_S,tc_set(t_a)), % 0.13/0.38 inference(predicate_reduction, [assumptions([a25, a26, a27])], [c28, c29])). % 0.13/0.38 % 0.13/0.38 cnf(c31, plain, % 0.13/0.38 c_in(X0,v_S,tc_set(t_a))). % 0.13/0.38 cnf(a28, assumption, % 0.13/0.38 X20 = X0). % 0.13/0.38 cnf(a29, assumption, % 0.13/0.38 v_S = v_S). % 0.13/0.38 cnf(a30, assumption, % 0.13/0.38 tc_set(t_a) = tc_set(t_a)). % 0.13/0.38 cnf(c32, plain, % 0.13/0.38 $false, % 0.13/0.38 inference(predicate_reduction, [assumptions([a28, a29, a30])], [c30, c31])). % 0.13/0.38 % 0.13/0.38 cnf(c33, plain, % 0.13/0.38 $false, % 0.13/0.38 inference(constraint_solving, [ % 0.13/0.38 bind(X0, c_Main_OsubsetI__1(X2,X3,X4)), % 0.13/0.38 bind(X1, c_Main_OsubsetI__1(X6,X7,X8)), % 0.13/0.38 bind(X2, v_S), % 0.13/0.38 bind(X3, c_insert(X5,c_emptyset,tc_set(t_a))), % 0.13/0.38 bind(X4, tc_set(t_a)), % 0.13/0.38 bind(X5, X5), % 0.13/0.38 bind(X6, v_S), % 0.13/0.38 bind(X7, c_insert(X9,c_emptyset,tc_set(t_a))), % 0.13/0.38 bind(X8, tc_set(t_a)), % 0.13/0.38 bind(X9, c_Main_OsubsetI__1(X2,X3,X4)), % 0.13/0.38 bind(X10, c_Main_OsubsetI__1(X6,X7,X8)), % 0.13/0.38 bind(X11, c_Main_OsubsetI__1(X2,X3,X4)), % 0.13/0.38 bind(X12, t_a), % 0.13/0.38 bind(X13, v_S), % 0.13/0.38 bind(X14, c_insert(X9,c_emptyset,tc_set(t_a))), % 0.13/0.38 bind(X15, tc_set(t_a)), % 0.13/0.38 bind(X16, c_Main_OsubsetI__1(X2,X3,X4)), % 0.13/0.38 bind(X17, c_emptyset), % 0.13/0.38 bind(X18, tc_set(t_a)), % 0.13/0.38 bind(X19, c_Main_OsubsetI__1(X6,X7,X8)), % 0.13/0.38 bind(X20, c_Main_OsubsetI__1(X2,X3,X4)) % 0.13/0.38 ], % 0.13/0.38 [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])). % 0.13/0.38 % 0.13/0.38 % SZS output end IncompleteProof %------------------------------------------------------------------------------