%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : COM011-2 : 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 : n032.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 : Fri Jul 15 01:27:01 EDT 2022 % Result : Unsatisfiable 0.10s 0.31s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.10 % Problem : COM011-2 : TPTP v8.1.0. Released v3.2.0. % 0.03/0.11 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.10/0.30 % Computer : n032.cluster.edu % 0.10/0.30 % Model : x86_64 x86_64 % 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.30 % Memory : 8042.1875MB % 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64 % 0.10/0.30 % CPULimit : 300 % 0.10/0.30 % WCLimit : 600 % 0.10/0.30 % DateTime : Thu Jun 16 17:27:00 EDT 2022 % 0.10/0.30 % CPUTime : % 0.10/0.31 % SZS status Unsatisfiable % 0.10/0.31 % SZS output begin IncompleteProof % 0.10/0.31 cnf(c0, axiom, % 0.10/0.31 c_in(v_F,c_WFair_Otransient(v_A,t_a),tc_UNITY_Oprogram(t_a))). % 0.10/0.31 cnf(c1, plain, % 0.10/0.31 c_in(v_F,c_WFair_Otransient(v_A,t_a),tc_UNITY_Oprogram(t_a)), % 0.10/0.31 inference(start, [], [c0])). % 0.10/0.31 % 0.10/0.31 cnf(c2, axiom, % 0.10/0.31 c_in(X0,c_WFair_Otransient(X1,X2),tc_UNITY_Oprogram(X2)) | ~c_lessequals(X1,X3,tc_set(X2)) | ~c_in(X0,c_WFair_Otransient(X3,X2),tc_UNITY_Oprogram(X2))). % 0.10/0.31 cnf(a0, assumption, % 0.10/0.31 v_F = X0). % 0.10/0.31 cnf(a1, assumption, % 0.10/0.31 c_WFair_Otransient(v_A,t_a) = c_WFair_Otransient(X3,X2)). % 0.10/0.31 cnf(a2, assumption, % 0.10/0.31 tc_UNITY_Oprogram(t_a) = tc_UNITY_Oprogram(X2)). % 0.10/0.31 cnf(c3, plain, % 0.10/0.31 $false, % 0.10/0.31 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 0.10/0.31 cnf(c4, plain, % 0.10/0.31 c_in(X0,c_WFair_Otransient(X1,X2),tc_UNITY_Oprogram(X2)) | ~c_lessequals(X1,X3,tc_set(X2)), % 0.10/0.31 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 0.10/0.31 % 0.10/0.31 cnf(c5, axiom, % 0.10/0.31 c_in(X4,c_WFair_Oensures(X5,X6,X7),tc_UNITY_Oprogram(X7)) | ~c_in(X4,c_WFair_Otransient(c_minus(X5,X6,tc_set(X7)),X7),tc_UNITY_Oprogram(X7)) | ~c_in(X4,c_UNITY_Oconstrains(c_minus(X5,X6,tc_set(X7)),c_union(X5,X6,X7),X7),tc_UNITY_Oprogram(X7))). % 0.10/0.31 cnf(a3, assumption, % 0.10/0.31 X0 = X4). % 0.10/0.31 cnf(a4, assumption, % 0.10/0.31 c_WFair_Otransient(X1,X2) = c_WFair_Otransient(c_minus(X5,X6,tc_set(X7)),X7)). % 0.10/0.31 cnf(a5, assumption, % 0.10/0.31 tc_UNITY_Oprogram(X2) = tc_UNITY_Oprogram(X7)). % 0.10/0.31 cnf(c6, plain, % 0.10/0.31 ~c_lessequals(X1,X3,tc_set(X2)), % 0.10/0.31 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])). % 0.10/0.31 cnf(c7, plain, % 0.10/0.31 c_in(X4,c_WFair_Oensures(X5,X6,X7),tc_UNITY_Oprogram(X7)) | ~c_in(X4,c_UNITY_Oconstrains(c_minus(X5,X6,tc_set(X7)),c_union(X5,X6,X7),X7),tc_UNITY_Oprogram(X7)), % 0.10/0.31 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])). % 0.10/0.31 % 0.10/0.31 cnf(c8, axiom, % 0.10/0.31 c_in(X8,c_WFair_OleadsTo(X9,X10,X11),tc_UNITY_Oprogram(X11)) | ~c_in(X8,c_WFair_Oensures(X9,X10,X11),tc_UNITY_Oprogram(X11))). % 0.10/0.31 cnf(a6, assumption, % 0.10/0.31 X4 = X8). % 0.10/0.31 cnf(a7, assumption, % 0.10/0.31 c_WFair_Oensures(X5,X6,X7) = c_WFair_Oensures(X9,X10,X11)). % 0.10/0.31 cnf(a8, assumption, % 0.10/0.31 tc_UNITY_Oprogram(X7) = tc_UNITY_Oprogram(X11)). % 0.10/0.31 cnf(c9, plain, % 0.10/0.31 ~c_in(X4,c_UNITY_Oconstrains(c_minus(X5,X6,tc_set(X7)),c_union(X5,X6,X7),X7),tc_UNITY_Oprogram(X7)), % 0.10/0.31 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c7, c8])). % 0.10/0.31 cnf(c10, plain, % 0.10/0.31 c_in(X8,c_WFair_OleadsTo(X9,X10,X11),tc_UNITY_Oprogram(X11)), % 0.10/0.31 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c7, c8])). % 0.10/0.31 % 0.10/0.31 cnf(c11, axiom, % 0.10/0.31 ~c_in(v_F,c_WFair_OleadsTo(v_A,v_B,t_a),tc_UNITY_Oprogram(t_a))). % 0.10/0.31 cnf(a9, assumption, % 0.10/0.31 X8 = v_F). % 0.10/0.31 cnf(a10, assumption, % 0.10/0.31 c_WFair_OleadsTo(X9,X10,X11) = c_WFair_OleadsTo(v_A,v_B,t_a)). % 0.10/0.31 cnf(a11, assumption, % 0.10/0.31 tc_UNITY_Oprogram(X11) = tc_UNITY_Oprogram(t_a)). % 0.10/0.31 cnf(c12, plain, % 0.10/0.31 $false, % 0.10/0.31 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c10, c11])). % 0.10/0.31 cnf(c13, plain, % 0.10/0.31 $false, % 0.10/0.31 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c10, c11])). % 0.10/0.31 % 0.10/0.31 cnf(c14, axiom, % 0.10/0.31 c_in(X12,c_UNITY_Oconstrains(X13,X14,X15),tc_UNITY_Oprogram(X15)) | ~c_lessequals(X13,X16,tc_set(X15)) | ~c_in(X12,c_UNITY_Oconstrains(X16,X14,X15),tc_UNITY_Oprogram(X15))). % 0.10/0.31 cnf(a12, assumption, % 0.10/0.31 X4 = X12). % 0.10/0.31 cnf(a13, assumption, % 0.10/0.31 c_UNITY_Oconstrains(c_minus(X5,X6,tc_set(X7)),c_union(X5,X6,X7),X7) = c_UNITY_Oconstrains(X13,X14,X15)). % 0.10/0.31 cnf(a14, assumption, % 0.10/0.31 tc_UNITY_Oprogram(X7) = tc_UNITY_Oprogram(X15)). % 0.10/0.31 cnf(c15, plain, % 0.10/0.31 $false, % 0.10/0.31 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c9, c14])). % 0.10/0.31 cnf(c16, plain, % 0.10/0.31 ~c_lessequals(X13,X16,tc_set(X15)) | ~c_in(X12,c_UNITY_Oconstrains(X16,X14,X15),tc_UNITY_Oprogram(X15)), % 0.10/0.31 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c9, c14])). % 0.10/0.31 % 0.10/0.31 cnf(c17, axiom, % 0.10/0.31 c_lessequals(X17,X18,tc_set(X19)) | c_in(c_Main_OsubsetI__1(X17,X18,X19),X17,X19)). % 0.10/0.31 cnf(a15, assumption, % 0.10/0.31 X13 = X17). % 0.10/0.31 cnf(a16, assumption, % 0.10/0.31 X16 = X18). % 0.10/0.31 cnf(a17, assumption, % 0.10/0.31 tc_set(X15) = tc_set(X19)). % 0.10/0.31 cnf(c18, plain, % 0.10/0.31 ~c_in(X12,c_UNITY_Oconstrains(X16,X14,X15),tc_UNITY_Oprogram(X15)), % 0.10/0.31 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c16, c17])). % 0.10/0.31 cnf(c19, plain, % 0.10/0.31 c_in(c_Main_OsubsetI__1(X17,X18,X19),X17,X19), % 0.10/0.31 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c16, c17])). % 0.10/0.31 % 0.10/0.31 cnf(c20, axiom, % 0.10/0.31 c_in(X20,X21,X22) | ~c_in(X20,c_minus(X21,X23,tc_set(X22)),X22)). % 0.10/0.31 cnf(a18, assumption, % 0.10/0.31 c_Main_OsubsetI__1(X17,X18,X19) = X20). % 0.10/0.31 cnf(a19, assumption, % 0.10/0.31 X17 = c_minus(X21,X23,tc_set(X22))). % 0.10/0.31 cnf(a20, assumption, % 0.10/0.31 X19 = X22). % 0.10/0.31 cnf(c21, plain, % 0.10/0.31 $false, % 0.10/0.31 inference(strict_predicate_extension, [assumptions([a18, a19, a20])], [c19, c20])). % 0.10/0.31 cnf(c22, plain, % 0.10/0.31 c_in(X20,X21,X22), % 0.10/0.31 inference(strict_predicate_extension, [assumptions([a18, a19, a20])], [c19, c20])). % 0.10/0.31 % 0.10/0.31 cnf(c23, axiom, % 0.10/0.31 c_lessequals(X24,X25,tc_set(X26)) | ~c_in(c_Main_OsubsetI__1(X24,X25,X26),X25,X26)). % 0.10/0.31 cnf(a21, assumption, % 0.10/0.31 X20 = c_Main_OsubsetI__1(X24,X25,X26)). % 0.10/0.31 cnf(a22, assumption, % 0.10/0.31 X21 = X25). % 0.10/0.31 cnf(a23, assumption, % 0.10/0.31 X22 = X26). % 0.10/0.31 cnf(c24, plain, % 0.10/0.31 $false, % 0.10/0.31 inference(strict_predicate_extension, [assumptions([a21, a22, a23])], [c22, c23])). % 0.10/0.31 cnf(c25, plain, % 0.10/0.31 c_lessequals(X24,X25,tc_set(X26)), % 0.10/0.31 inference(strict_predicate_extension, [assumptions([a21, a22, a23])], [c22, c23])). % 0.10/0.31 % 0.10/0.31 cnf(c26, plain, % 0.10/0.31 ~c_lessequals(X13,X16,tc_set(X15))). % 0.10/0.31 cnf(a24, assumption, % 0.10/0.31 X24 = X13). % 0.10/0.31 cnf(a25, assumption, % 0.10/0.31 X25 = X16). % 0.10/0.31 cnf(a26, assumption, % 0.10/0.31 tc_set(X26) = tc_set(X15)). % 0.10/0.31 cnf(c27, plain, % 0.10/0.31 $false, % 0.10/0.31 inference(predicate_reduction, [assumptions([a24, a25, a26])], [c25, c26])). % 0.10/0.31 % 0.10/0.31 cnf(c28, axiom, % 0.10/0.31 c_in(v_F,c_UNITY_Oconstrains(v_A,c_union(v_A,v_B,t_a),t_a),tc_UNITY_Oprogram(t_a))). % 0.10/0.31 cnf(a27, assumption, % 0.10/0.31 X12 = v_F). % 0.10/0.31 cnf(a28, assumption, % 0.10/0.31 c_UNITY_Oconstrains(X16,X14,X15) = c_UNITY_Oconstrains(v_A,c_union(v_A,v_B,t_a),t_a)). % 0.10/0.31 cnf(a29, assumption, % 0.10/0.31 tc_UNITY_Oprogram(X15) = tc_UNITY_Oprogram(t_a)). % 0.10/0.31 cnf(c29, plain, % 0.10/0.31 $false, % 0.10/0.31 inference(strict_predicate_extension, [assumptions([a27, a28, a29])], [c18, c28])). % 0.10/0.31 cnf(c30, plain, % 0.10/0.31 $false, % 0.10/0.31 inference(strict_predicate_extension, [assumptions([a27, a28, a29])], [c18, c28])). % 0.10/0.31 % 0.10/0.31 cnf(c31, plain, % 0.10/0.31 c_lessequals(X13,X16,tc_set(X15))). % 0.10/0.31 cnf(a30, assumption, % 0.10/0.31 X1 = X13). % 0.10/0.31 cnf(a31, assumption, % 0.10/0.31 X3 = X16). % 0.10/0.31 cnf(a32, assumption, % 0.10/0.31 tc_set(X2) = tc_set(X15)). % 0.10/0.31 cnf(c32, plain, % 0.10/0.31 $false, % 0.10/0.31 inference(predicate_reduction, [assumptions([a30, a31, a32])], [c6, c31])). % 0.10/0.31 % 0.10/0.31 cnf(c33, plain, % 0.10/0.31 $false, % 0.10/0.31 inference(constraint_solving, [ % 0.10/0.31 bind(X0, v_F), % 0.10/0.31 bind(X1, c_minus(X5,X6,tc_set(X7))), % 0.10/0.31 bind(X2, t_a), % 0.10/0.31 bind(X3, v_A), % 0.10/0.31 bind(X4, v_F), % 0.10/0.31 bind(X5, v_A), % 0.10/0.31 bind(X6, v_B), % 0.10/0.31 bind(X7, t_a), % 0.10/0.31 bind(X8, v_F), % 0.10/0.31 bind(X9, v_A), % 0.10/0.31 bind(X10, v_B), % 0.10/0.31 bind(X11, t_a), % 0.10/0.31 bind(X12, v_F), % 0.10/0.31 bind(X13, c_minus(X5,X6,tc_set(X7))), % 0.10/0.31 bind(X14, c_union(X5,X6,X7)), % 0.10/0.31 bind(X15, t_a), % 0.10/0.31 bind(X16, v_A), % 0.10/0.31 bind(X17, c_minus(X5,X6,tc_set(X7))), % 0.10/0.31 bind(X18, v_A), % 0.10/0.31 bind(X19, t_a), % 0.10/0.31 bind(X20, c_Main_OsubsetI__1(X17,X18,X19)), % 0.10/0.31 bind(X21, v_A), % 0.10/0.31 bind(X22, t_a), % 0.10/0.31 bind(X23, v_B), % 0.10/0.31 bind(X24, c_minus(X5,X6,tc_set(X7))), % 0.10/0.31 bind(X25, v_A), % 0.10/0.31 bind(X26, t_a) % 0.10/0.31 ], % 0.10/0.31 [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])). % 0.10/0.31 % 0.10/0.31 % SZS output end IncompleteProof 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