%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : SET840-2 : 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 : 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 02:48:34 EDT 2022 % Result : Unsatisfiable 5.79s 1.09s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : SET840-2 : 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 % 0.14/0.35 % Computer : n004.cluster.edu % 0.14/0.35 % Model : x86_64 x86_64 % 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.35 % Memory : 8042.1875MB % 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.35 % CPULimit : 300 % 0.14/0.35 % WCLimit : 600 % 0.14/0.35 % DateTime : Sun Jul 10 04:42:22 EDT 2022 % 0.14/0.35 % CPUTime : % 5.79/1.09 % SZS status Unsatisfiable % 5.79/1.09 % SZS output begin IncompleteProof % 5.79/1.09 cnf(c0, axiom, % 5.79/1.09 ~c_lessequals(v_S,c_insert(X0,c_emptyset,tc_set(t_b)),tc_set(tc_set(t_b)))). % 5.79/1.09 cnf(c1, plain, % 5.79/1.09 ~c_lessequals(v_S,c_insert(X0,c_emptyset,tc_set(t_b)),tc_set(tc_set(t_b))), % 5.79/1.09 inference(start, [], [c0])). % 5.79/1.09 % 5.79/1.09 cnf(c2, axiom, % 5.79/1.09 c_lessequals(X1,X2,tc_set(X3)) | c_in(c_Main_OsubsetI__1(X1,X2,X3),X1,X3)). % 5.79/1.09 cnf(a0, assumption, % 5.79/1.09 v_S = X1). % 5.79/1.09 cnf(a1, assumption, % 5.79/1.09 c_insert(X0,c_emptyset,tc_set(t_b)) = X2). % 5.79/1.09 cnf(a2, assumption, % 5.79/1.09 tc_set(tc_set(t_b)) = tc_set(X3)). % 5.79/1.09 cnf(c3, plain, % 5.79/1.09 $false, % 5.79/1.09 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 5.79/1.09 cnf(c4, plain, % 5.79/1.09 c_in(c_Main_OsubsetI__1(X1,X2,X3),X1,X3), % 5.79/1.09 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 5.79/1.09 % 5.79/1.09 cnf(c5, axiom, % 5.79/1.09 ~c_in(X4,v_S,tc_set(t_b)) | c_lessequals(c_Union(v_S,t_b),X4,tc_set(t_b))). % 5.79/1.09 cnf(a3, assumption, % 5.79/1.09 c_Main_OsubsetI__1(X1,X2,X3) = X4). % 5.79/1.09 cnf(a4, assumption, % 5.79/1.09 X1 = v_S). % 5.79/1.09 cnf(a5, assumption, % 5.79/1.09 X3 = tc_set(t_b)). % 5.79/1.09 cnf(c6, plain, % 5.79/1.09 $false, % 5.79/1.09 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])). % 5.79/1.09 cnf(c7, plain, % 5.79/1.09 c_lessequals(c_Union(v_S,t_b),X4,tc_set(t_b)), % 5.79/1.09 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])). % 5.79/1.09 % 5.79/1.09 cnf(c8, axiom, % 5.79/1.09 X5 = X6 | ~c_lessequals(X5,X6,tc_set(X7)) | ~c_lessequals(X6,X5,tc_set(X7))). % 5.79/1.09 cnf(a6, assumption, % 5.79/1.09 c_Union(v_S,t_b) = X6). % 5.79/1.09 cnf(a7, assumption, % 5.79/1.09 X4 = X5). % 5.79/1.09 cnf(a8, assumption, % 5.79/1.09 tc_set(t_b) = tc_set(X7)). % 5.79/1.09 cnf(c9, plain, % 5.79/1.09 $false, % 5.79/1.09 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c7, c8])). % 5.79/1.09 cnf(c10, plain, % 5.79/1.09 X5 = X6 | ~c_lessequals(X5,X6,tc_set(X7)), % 5.79/1.09 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c7, c8])). % 5.79/1.09 % 5.79/1.09 cnf(c11, axiom, % 5.79/1.09 c_lessequals(X8,X9,tc_set(X10)) | ~c_in(c_Main_OsubsetI__1(X8,X9,X10),X9,X10)). % 5.79/1.09 cnf(a9, assumption, % 5.79/1.09 c_Main_OsubsetI__1(X8,X9,X10) = X5). % 5.79/1.09 cnf(c12, plain, % 5.79/1.09 ~c_lessequals(X5,X6,tc_set(X7)), % 5.79/1.09 inference(strict_subterm_extension, [assumptions([a9])], [c10, c11])). % 5.79/1.09 cnf(c13, plain, % 5.79/1.09 c_lessequals(X8,X9,tc_set(X10)), % 5.79/1.09 inference(strict_subterm_extension, [assumptions([a9])], [c10, c11])). % 5.79/1.09 cnf(c14, plain, % 5.79/1.09 ~c_in(X6,X9,X10), % 5.79/1.09 inference(strict_subterm_extension, [assumptions([a9])], [c10, c11])). % 5.79/1.09 % 5.79/1.09 cnf(c15, axiom, % 5.79/1.09 c_in(X11,c_insert(X11,X12,X13),X13)). % 5.79/1.09 cnf(a10, assumption, % 5.79/1.09 X6 = X11). % 5.79/1.09 cnf(a11, assumption, % 5.79/1.09 X9 = c_insert(X11,X12,X13)). % 5.79/1.09 cnf(a12, assumption, % 5.79/1.09 X10 = X13). % 5.79/1.09 cnf(c16, plain, % 5.79/1.09 $false, % 5.79/1.09 inference(strict_predicate_extension, [assumptions([a10, a11, a12])], [c14, c15])). % 5.79/1.09 cnf(c17, plain, % 5.79/1.09 $false, % 5.79/1.09 inference(strict_predicate_extension, [assumptions([a10, a11, a12])], [c14, c15])). % 5.79/1.09 % 5.79/1.09 cnf(c18, plain, % 5.79/1.09 ~c_lessequals(v_S,c_insert(X0,c_emptyset,tc_set(t_b)),tc_set(tc_set(t_b)))). % 5.79/1.09 cnf(a13, assumption, % 5.79/1.09 X8 = v_S). % 5.79/1.09 cnf(a14, assumption, % 5.79/1.09 X9 = c_insert(X0,c_emptyset,tc_set(t_b))). % 5.79/1.09 cnf(a15, assumption, % 5.79/1.09 tc_set(X10) = tc_set(tc_set(t_b))). % 5.79/1.09 cnf(c19, plain, % 5.79/1.09 $false, % 5.79/1.09 inference(predicate_reduction, [assumptions([a13, a14, a15])], [c13, c18])). % 5.79/1.09 % 5.79/1.09 cnf(c20, axiom, % 5.79/1.09 c_lessequals(X14,X15,tc_set(X16)) | c_in(c_Main_OsubsetI__1(X14,X15,X16),X14,X16)). % 5.79/1.09 cnf(a16, assumption, % 5.79/1.09 X5 = X14). % 5.79/1.09 cnf(a17, assumption, % 5.79/1.09 X6 = X15). % 5.79/1.09 cnf(a18, assumption, % 5.79/1.09 tc_set(X7) = tc_set(X16)). % 5.79/1.09 cnf(c21, plain, % 5.79/1.09 $false, % 5.79/1.09 inference(strict_predicate_extension, [assumptions([a16, a17, a18])], [c12, c20])). % 5.79/1.09 cnf(c22, plain, % 5.79/1.09 c_in(c_Main_OsubsetI__1(X14,X15,X16),X14,X16), % 5.79/1.09 inference(strict_predicate_extension, [assumptions([a16, a17, a18])], [c12, c20])). % 5.79/1.09 % 5.79/1.09 cnf(c23, axiom, % 5.79/1.09 c_in(X17,c_Union(X18,X19),X19) | ~c_in(X20,X18,tc_set(X19)) | ~c_in(X17,X20,X19)). % 5.79/1.09 cnf(a19, assumption, % 5.79/1.09 c_Main_OsubsetI__1(X14,X15,X16) = X17). % 5.79/1.09 cnf(a20, assumption, % 5.79/1.09 X14 = X20). % 5.79/1.09 cnf(a21, assumption, % 5.79/1.09 X16 = X19). % 5.79/1.09 cnf(c24, plain, % 5.79/1.09 $false, % 5.79/1.09 inference(strict_predicate_extension, [assumptions([a19, a20, a21])], [c22, c23])). % 5.79/1.09 cnf(c25, plain, % 5.79/1.09 c_in(X17,c_Union(X18,X19),X19) | ~c_in(X20,X18,tc_set(X19)), % 5.79/1.09 inference(strict_predicate_extension, [assumptions([a19, a20, a21])], [c22, c23])). % 5.79/1.09 % 5.79/1.09 cnf(c26, axiom, % 5.79/1.09 c_lessequals(X21,X22,tc_set(X23)) | ~c_in(c_Main_OsubsetI__1(X21,X22,X23),X22,X23)). % 5.79/1.09 cnf(a22, assumption, % 5.79/1.09 X17 = c_Main_OsubsetI__1(X21,X22,X23)). % 5.79/1.09 cnf(a23, assumption, % 5.79/1.09 c_Union(X18,X19) = X22). % 5.79/1.09 cnf(a24, assumption, % 5.79/1.09 X19 = X23). % 5.79/1.09 cnf(c27, plain, % 5.79/1.09 ~c_in(X20,X18,tc_set(X19)), % 5.79/1.09 inference(strict_predicate_extension, [assumptions([a22, a23, a24])], [c25, c26])). % 5.79/1.09 cnf(c28, plain, % 5.79/1.09 c_lessequals(X21,X22,tc_set(X23)), % 5.79/1.09 inference(strict_predicate_extension, [assumptions([a22, a23, a24])], [c25, c26])). % 5.79/1.09 % 5.79/1.09 cnf(c29, plain, % 5.79/1.09 ~c_lessequals(X5,X6,tc_set(X7))). % 5.79/1.09 cnf(a25, assumption, % 5.79/1.09 X21 = X5). % 5.79/1.09 cnf(a26, assumption, % 5.79/1.09 X22 = X6). % 5.79/1.09 cnf(a27, assumption, % 5.79/1.09 tc_set(X23) = tc_set(X7)). % 5.79/1.09 cnf(c30, plain, % 5.79/1.09 $false, % 5.79/1.09 inference(predicate_reduction, [assumptions([a25, a26, a27])], [c28, c29])). % 5.79/1.09 % 5.79/1.09 cnf(c31, plain, % 5.79/1.09 c_in(c_Main_OsubsetI__1(X1,X2,X3),X1,X3)). % 5.79/1.09 cnf(a28, assumption, % 5.79/1.09 X20 = c_Main_OsubsetI__1(X1,X2,X3)). % 5.79/1.09 cnf(a29, assumption, % 5.79/1.09 X18 = X1). % 5.79/1.09 cnf(a30, assumption, % 5.79/1.09 tc_set(X19) = X3). % 5.79/1.09 cnf(c32, plain, % 5.79/1.09 $false, % 5.79/1.09 inference(predicate_reduction, [assumptions([a28, a29, a30])], [c27, c31])). % 5.79/1.09 % 5.79/1.09 cnf(c33, plain, % 5.79/1.09 $false, % 5.79/1.09 inference(constraint_solving, [ % 5.79/1.09 bind(X0, c_Union(v_S,t_b)), % 5.79/1.09 bind(X1, v_S), % 5.79/1.09 bind(X2, c_insert(X0,c_emptyset,tc_set(t_b))), % 5.79/1.09 bind(X3, tc_set(t_b)), % 5.79/1.09 bind(X4, c_Main_OsubsetI__1(X1,X2,X3)), % 5.79/1.09 bind(X5, c_Main_OsubsetI__1(X1,X2,X3)), % 5.79/1.09 bind(X6, c_Union(v_S,t_b)), % 5.79/1.09 bind(X7, t_b), % 5.79/1.09 bind(X8, v_S), % 5.79/1.09 bind(X9, c_insert(X0,c_emptyset,tc_set(t_b))), % 5.79/1.09 bind(X10, tc_set(t_b)), % 5.79/1.09 bind(X11, c_Union(v_S,t_b)), % 5.79/1.09 bind(X12, c_emptyset), % 5.79/1.09 bind(X13, tc_set(t_b)), % 5.79/1.09 bind(X14, c_Main_OsubsetI__1(X1,X2,X3)), % 5.79/1.09 bind(X15, c_Union(v_S,t_b)), % 5.79/1.09 bind(X16, t_b), % 5.79/1.09 bind(X17, c_Main_OsubsetI__1(X14,X15,X16)), % 5.79/1.09 bind(X18, v_S), % 5.79/1.09 bind(X19, t_b), % 5.79/1.09 bind(X20, c_Main_OsubsetI__1(X1,X2,X3)), % 5.79/1.09 bind(X21, c_Main_OsubsetI__1(X1,X2,X3)), % 5.79/1.09 bind(X22, c_Union(v_S,t_b)), % 5.79/1.09 bind(X23, t_b) % 5.79/1.09 ], % 5.79/1.09 [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])). % 5.79/1.09 % 5.79/1.09 % SZS output end IncompleteProof %------------------------------------------------------------------------------