%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : GRA018+1 : TPTP v9.0.0. Released v3.2.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n006.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 : 300s % DateTime : Sat Jun 21 05:06:38 AM UTC 2025 % Result : CounterSatisfiable 107.75s 107.94s % Output : Model 107.75s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : GRA018+1 : TPTP v9.0.0. Released v3.2.0. % 0.11/0.12 % Command : run_E %s %d THM % 0.12/0.33 % Computer : n006.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 300 % 0.12/0.33 % DateTime : Thu Jun 19 15:22:50 EDT 2025 % 0.12/0.33 % CPUTime : % 107.75/107.94 % SZS status CounterSatisfiable % 107.75/107.94 % SZS output start Model % 107.75/107.94 tff(tptp_fun__i_val_15_type, type, ( % 107.75/107.94 tptp_fun__i_val_15: $i)). % 107.75/107.94 tff(n16_type, type, ( % 107.75/107.94 n16: $i)). % 107.75/107.94 tff(tptp_fun__i_val_3_type, type, ( % 107.75/107.94 tptp_fun__i_val_3: $i)). % 107.75/107.94 tff(n4_type, type, ( % 107.75/107.94 n4: $i)). % 107.75/107.94 tff(tptp_fun__i_val_0_type, type, ( % 107.75/107.94 tptp_fun__i_val_0: $i)). % 107.75/107.94 tff(n1_type, type, ( % 107.75/107.94 n1: $i)). % 107.75/107.94 tff(tptp_fun__i_val_12_type, type, ( % 107.75/107.94 tptp_fun__i_val_12: $i)). % 107.75/107.94 tff(n13_type, type, ( % 107.75/107.94 n13: $i)). % 107.75/107.94 tff(goal_type, type, ( % 107.75/107.94 goal: $o)). % 107.75/107.94 tff(tptp_fun__i_val_8_type, type, ( % 107.75/107.94 tptp_fun__i_val_8: $i)). % 107.75/107.94 tff(n9_type, type, ( % 107.75/107.94 n9: $i)). % 107.75/107.94 tff(tptp_fun__i_val_4_type, type, ( % 107.75/107.94 tptp_fun__i_val_4: $i)). % 107.75/107.94 tff(n5_type, type, ( % 107.75/107.94 n5: $i)). % 107.75/107.94 tff(tptp_fun__i_val_7_type, type, ( % 107.75/107.94 tptp_fun__i_val_7: $i)). % 107.75/107.94 tff(n8_type, type, ( % 107.75/107.94 n8: $i)). % 107.75/107.94 tff(tptp_fun__i_val_9_type, type, ( % 107.75/107.94 tptp_fun__i_val_9: $i)). % 107.75/107.94 tff(n10_type, type, ( % 107.75/107.94 n10: $i)). % 107.75/107.94 tff(tptp_fun__i_val_13_type, type, ( % 107.75/107.94 tptp_fun__i_val_13: $i)). % 107.75/107.94 tff(n14_type, type, ( % 107.75/107.94 n14: $i)). % 107.75/107.94 tff(tptp_fun__i_val_2_type, type, ( % 107.75/107.94 tptp_fun__i_val_2: $i)). % 107.75/107.94 tff(n3_type, type, ( % 107.75/107.94 n3: $i)). % 107.75/107.94 tff(tptp_fun__i_val_1_type, type, ( % 107.75/107.94 tptp_fun__i_val_1: $i)). % 107.75/107.94 tff(n2_type, type, ( % 107.75/107.94 n2: $i)). % 107.75/107.94 tff(tptp_fun__i_val_11_type, type, ( % 107.75/107.94 tptp_fun__i_val_11: $i)). % 107.75/107.94 tff(n12_type, type, ( % 107.75/107.94 n12: $i)). % 107.75/107.94 tff(tptp_fun__i_val_14_type, type, ( % 107.75/107.94 tptp_fun__i_val_14: $i)). % 107.75/107.94 tff(n15_type, type, ( % 107.75/107.94 n15: $i)). % 107.75/107.94 tff(tptp_fun__i_val_5_type, type, ( % 107.75/107.94 tptp_fun__i_val_5: $i)). % 107.75/107.94 tff(n6_type, type, ( % 107.75/107.94 n6: $i)). % 107.75/107.94 tff(tptp_fun__i_val_10_type, type, ( % 107.75/107.94 tptp_fun__i_val_10: $i)). % 107.75/107.94 tff(n11_type, type, ( % 107.75/107.94 n11: $i)). % 107.75/107.94 tff(tptp_fun__i_val_16_type, type, ( % 107.75/107.94 tptp_fun__i_val_16: $i)). % 107.75/107.94 tff(n17_type, type, ( % 107.75/107.94 n17: $i)). % 107.75/107.94 tff(tptp_fun__i_val_6_type, type, ( % 107.75/107.94 tptp_fun__i_val_6: $i)). % 107.75/107.94 tff(n7_type, type, ( % 107.75/107.94 n7: $i)). % 107.75/107.94 tff(k!171_type, type, ( % 107.75/107.94 k!171: $i > $i)). % 107.75/107.94 tff(less_than_type, type, ( % 107.75/107.94 less_than: ( $i * $i ) > $o)). % 107.75/107.94 tff(red_type, type, ( % 107.75/107.94 red: ( $i * $i ) > $o)). % 107.75/107.94 tff(green_type, type, ( % 107.75/107.94 green: ( $i * $i ) > $o)). % 107.75/107.94 tff(formula1, axiom, % 107.75/107.94 n16 = $i!val!15). % 107.75/107.94 tff(formula2, axiom, % 107.75/107.94 n4 = $i!val!3). % 107.75/107.94 tff(formula3, axiom, % 107.75/107.94 n1 = $i!val!0). % 107.75/107.94 tff(formula4, axiom, % 107.75/107.94 n13 = $i!val!12). % 107.75/107.94 tff(formula5, axiom, % 107.75/107.94 goal <=> $false). % 107.75/107.94 tff(formula6, axiom, % 107.75/107.94 n9 = $i!val!8). % 107.75/107.94 tff(formula7, axiom, % 107.75/107.94 n5 = $i!val!4). % 107.75/107.94 tff(formula8, axiom, % 107.75/107.94 n8 = $i!val!7). % 107.75/107.94 tff(formula9, axiom, % 107.75/107.94 n10 = $i!val!9). % 107.75/107.94 tff(formula10, axiom, % 107.75/107.94 n14 = $i!val!13). % 107.75/107.94 tff(formula11, axiom, % 107.75/107.94 n3 = $i!val!2). % 107.75/107.94 tff(formula12, axiom, % 107.75/107.94 n2 = $i!val!1). % 107.75/107.94 tff(formula13, axiom, % 107.75/107.94 n12 = $i!val!11). % 107.75/107.94 tff(formula14, axiom, % 107.75/107.94 n15 = $i!val!14). % 107.75/107.94 tff(formula15, axiom, % 107.75/107.94 n6 = $i!val!5). % 107.75/107.94 tff(formula16, axiom, % 107.75/107.94 n11 = $i!val!10). % 107.75/107.94 tff(formula17, axiom, % 107.75/107.94 n17 = $i!val!16). % 107.75/107.94 tff(formula18, axiom, % 107.75/107.94 n7 = $i!val!6). % 107.75/107.94 tff(formula19, axiom, % 107.75/107.94 ![X0: $i, X1: $i] : (less_than(X0, X1) <=> (((k!171(X1) = $i!val!2) & (k!171(X0) = $i!val!15)) | ((k!171(X1) = $i!val!2) & (k!171(X0) = $i!val!12)) | ((k!171(X1) = $i!val!2) & (k!171(X0) = $i!val!11)) | ((k!171(X1) = $i!val!5) & (k!171(X0) = $i!val!16)) | ((k!171(X1) = $i!val!4) & (k!171(X0) = $i!val!14)) | ((k!171(X1) = $i!val!4) & (k!171(X0) = $i!val!13)) | ((k!171(X1) = $i!val!3) & (k!171(X0) = $i!val!16)) | ((k!171(X1) = $i!val!4) & (k!171(X0) = $i!val!16)) | ((k!171(X1) = $i!val!7) & (k!171(X0) = $i!val!16)) | ((k!171(X1) = $i!val!0) & (k!171(X0) = $i!val!13)) | ((k!171(X1) = $i!val!1) & (k!171(X0) = $i!val!5)) | ((k!171(X1) = $i!val!0) & (k!171(X0) = $i!val!4)) | ((k!171(X1) = $i!val!0) & (k!171(X0) = $i!val!7)) | ((k!171(X1) = $i!val!0) & (k!171(X0) = $i!val!6)) | ((k!171(X1) = $i!val!12) & (k!171(X0) = $i!val!15)) | ((k!171(X1) = $i!val!7) & (k!171(X0) = $i!val!13)) | ((k!171(X1) = $i!val!2) & (k!171(X0) = $i!val!9)) | ((k!171(X1) = $i!val!8) & (k!171(X0) = $i!val!14)) | ((k!171(X1) = $i!val!6) & (k!171(X0) = $i!val!12)) | ((k!171(X1) = $i!val!6) & (k!171(X0) = $i!val!11)) | ((k!171(X1) = $i!val!0) & (k!171(X0) = $i!val!11)) | ((k!171(X1) = $i!val!1) & (k!171(X0) = $i!val!10)) | ((k!171(X1) = $i!val!0) & (k!171(X0) = $i!val!16)) | ((k!171(X1) = $i!val!0) & (k!171(X0) = $i!val!12)) | ((k!171(X1) = $i!val!9) & (k!171(X0) = $i!val!15)) | ((k!171(X1) = $i!val!9) & (k!171(X0) = $i!val!14)) | ((k!171(X1) = $i!val!8) & (k!171(X0) = $i!val!15)) | ((k!171(X1) = $i!val!7) & (k!171(X0) = $i!val!9)) | ((k!171(X1) = $i!val!9) & (k!171(X0) = $i!val!10)) | ((k!171(X1) = $i!val!5) & (k!171(X0) = $i!val!6)) | ((k!171(X1) = $i!val!3) & (k!171(X0) = $i!val!4)) | ((k!171(X1) = $i!val!2) & (k!171(X0) = $i!val!3)) | ((k!171(X1) = $i!val!6) & (k!171(X0) = $i!val!8)) | ((k!171(X1) = $i!val!5) & (k!171(X0) = $i!val!7)) | ((k!171(X1) = $i!val!3) & (k!171(X0) = $i!val!5)) | ((k!171(X1) = $i!val!2) & (k!171(X0) = $i!val!4)) | ((k!171(X1) = $i!val!0) & (k!171(X0) = $i!val!2)) | ((k!171(X1) = $i!val!7) & (k!171(X0) = $i!val!12)) | ((k!171(X1) = $i!val!1) & (k!171(X0) = $i!val!3)) | ((k!171(X1) = $i!val!15) & (k!171(X0) = $i!val!16)) | ((k!171(X1) = $i!val!14) & (k!171(X0) = $i!val!15)) | ((k!171(X1) = $i!val!13) & (k!171(X0) = $i!val!14)) | ((k!171(X1) = $i!val!10) & (k!171(X0) = $i!val!12)) | ((k!171(X1) = $i!val!9) & (k!171(X0) = $i!val!11)) | ((k!171(X1) = $i!val!10) & (k!171(X0) = $i!val!14)) | ((k!171(X1) = $i!val!9) & (k!171(X0) = $i!val!13)) | ((k!171(X1) = $i!val!8) & (k!171(X0) = $i!val!12)) | ((k!171(X1) = $i!val!8) & (k!171(X0) = $i!val!11)) | ((k!171(X1) = $i!val!6) & (k!171(X0) = $i!val!10)) | ((k!171(X1) = $i!val!5) & (k!171(X0) = $i!val!9)) | ((k!171(X1) = $i!val!1) & (k!171(X0) = $i!val!4)) | ((k!171(X1) = $i!val!14) & (k!171(X0) = $i!val!16)) | ((k!171(X1) = $i!val!11) & (k!171(X0) = $i!val!13)) | ((k!171(X1) = $i!val!6) & (k!171(X0) = $i!val!14)) | ((k!171(X1) = $i!val!2) & (k!171(X0) = $i!val!10)) | ((k!171(X1) = $i!val!1) & (k!171(X0) = $i!val!8)) | ((k!171(X1) = $i!val!1) & (k!171(X0) = $i!val!7)) | ((k!171(X1) = $i!val!8) & (k!171(X0) = $i!val!13)) | ((k!171(X1) = $i!val!7) & (k!171(X0) = $i!val!15)) | ((k!171(X1) = $i!val!5) & (k!171(X0) = $i!val!11)) | ((k!171(X1) = $i!val!5) & (k!171(X0) = $i!val!10)) | ((k!171(X1) = $i!val!4) & (k!171(X0) = $i!val!10)) | ((k!171(X1) = $i!val!3) & (k!171(X0) = $i!val!11)) | ((k!171(X1) = $i!val!3) & (k!171(X0) = $i!val!8)) | ((k!171(X1) = $i!val!1) & (k!171(X0) = $i!val!13)) | ((k!171(X1) = $i!val!1) & (k!171(X0) = $i!val!12)) | ((k!171(X1) = $i!val!3) & (k!171(X0) = $i!val!15)) | ((k!171(X1) = $i!val!6) & (k!171(X0) = $i!val!16)) | ((k!171(X1) = $i!val!5) & (k!171(X0) = $i!val!8)) | ((k!171(X1) = $i!val!10) & (k!171(X0) = $i!val!13)) | ((k!171(X1) = $i!val!8) & (k!171(X0) = $i!val!16)) | ((k!171(X1) = $i!val!1) & (k!171(X0) = $i!val!11)) | ((k!171(X1) = $i!val!4) & (k!171(X0) = $i!val!5)) | ((k!171(X1) = $i!val!2) & (k!171(X0) = $i!val!16)) | ((k!171(X1) = $i!val!2) & (k!171(X0) = $i!val!5)) | ((k!171(X1) = $i!val!7) & (k!171(X0) = $i!val!14)) | ((k!171(X1) = $i!val!1) & (k!171(X0) = $i!val!9)) | ((k!171(X1) = $i!val!1) & (k!171(X0) = $i!val!16)) | ((k!171(X1) = $i!val!4) & (k!171(X0) = $i!val!8)) | ((k!171(X1) = $i!val!4) & (k!171(X0) = $i!val!11)) | ((k!171(X1) = $i!val!8) & (k!171(X0) = $i!val!10)) | ((k!171(X1) = $i!val!9) & (k!171(X0) = $i!val!12)) | ((k!171(X1) = $i!val!10) & (k!171(X0) = $i!val!15)) | ((k!171(X1) = $i!val!4) & (k!171(X0) = $i!val!9)) | ((k!171(X1) = $i!val!2) & (k!171(X0) = $i!val!8)) | ((k!171(X1) = $i!val!3) & (k!171(X0) = $i!val!14)) | ((k!171(X1) = $i!val!5) & (k!171(X0) = $i!val!13)) | ((k!171(X1) = $i!val!5) & (k!171(X0) = $i!val!14)) | ((k!171(X1) = $i!val!11) & (k!171(X0) = $i!val!14)) | ((k!171(X1) = $i!val!13) & (k!171(X0) = $i!val!16)) | ((k!171(X1) = $i!val!9) & (k!171(X0) = $i!val!16)) | ((k!171(X1) = $i!val!4) & (k!171(X0) = $i!val!12)) | ((k!171(X1) = $i!val!1) & (k!171(X0) = $i!val!6)) | ((k!171(X1) = $i!val!1) & (k!171(X0) = $i!val!15)) | ((k!171(X1) = $i!val!3) & (k!171(X0) = $i!val!13)) | ((k!171(X1) = $i!val!0) & (k!171(X0) = $i!val!10)) | ((k!171(X1) = $i!val!12) & (k!171(X0) = $i!val!13)) | ((k!171(X1) = $i!val!12) & (k!171(X0) = $i!val!16)) | ((k!171(X1) = $i!val!11) & (k!171(X0) = $i!val!15)) | ((k!171(X1) = $i!val!1) & (k!171(X0) = $i!val!14)) | ((k!171(X1) = $i!val!4) & (k!171(X0) = $i!val!15)) | ((k!171(X1) = $i!val!1) & (k!171(X0) = $i!val!2)) | ((k!171(X1) = $i!val!5) & (k!171(X0) = $i!val!12)) | ((k!171(X1) = $i!val!10) & (k!171(X0) = $i!val!11)) | ((k!171(X1) = $i!val!8) & (k!171(X0) = $i!val!9)) | ((k!171(X1) = $i!val!0) & (k!171(X0) = $i!val!1)) | ((k!171(X1) = $i!val!7) & (k!171(X0) = $i!val!11)) | ((k!171(X1) = $i!val!0) & (k!171(X0) = $i!val!3)) | ((k!171(X1) = $i!val!11) & (k!171(X0) = $i!val!16)) | ((k!171(X1) = $i!val!10) & (k!171(X0) = $i!val!16)) | ((k!171(X1) = $i!val!7) & (k!171(X0) = $i!val!8)) | ((k!171(X1) = $i!val!6) & (k!171(X0) = $i!val!7)) | ((k!171(X1) = $i!val!2) & (k!171(X0) = $i!val!6)) | ((k!171(X1) = $i!val!3) & (k!171(X0) = $i!val!7)) | ((k!171(X1) = $i!val!13) & (k!171(X0) = $i!val!15)) | ((k!171(X1) = $i!val!12) & (k!171(X0) = $i!val!14)) | ((k!171(X1) = $i!val!3) & (k!171(X0) = $i!val!6)) | ((k!171(X1) = $i!val!11) & (k!171(X0) = $i!val!12)) | ((k!171(X1) = $i!val!6) & (k!171(X0) = $i!val!9)) | ((k!171(X1) = $i!val!7) & (k!171(X0) = $i!val!10)) | ((k!171(X1) = $i!val!3) & (k!171(X0) = $i!val!10)) | ((k!171(X1) = $i!val!3) & (k!171(X0) = $i!val!9)) | ((k!171(X1) = $i!val!4) & (k!171(X0) = $i!val!7)) | ((k!171(X1) = $i!val!2) & (k!171(X0) = $i!val!7)) | ((k!171(X1) = $i!val!6) & (k!171(X0) = $i!val!13)) | ((k!171(X1) = $i!val!3) & (k!171(X0) = $i!val!12)) | ((k!171(X1) = $i!val!0) & (k!171(X0) = $i!val!5)) | ((k!171(X1) = $i!val!0) & (k!171(X0) = $i!val!9)) | ((k!171(X1) = $i!val!0) & (k!171(X0) = $i!val!15)) | ((k!171(X1) = $i!val!0) & (k!171(X0) = $i!val!14)) | ((k!171(X1) = $i!val!6) & (k!171(X0) = $i!val!15)) | ((k!171(X1) = $i!val!5) & (k!171(X0) = $i!val!15)) | ((k!171(X1) = $i!val!2) & (k!171(X0) = $i!val!14)) | ((k!171(X1) = $i!val!2) & (k!171(X0) = $i!val!13)) | ((k!171(X1) = $i!val!0) & (k!171(X0) = $i!val!8)) | ((k!171(X1) = $i!val!4) & (k!171(X0) = $i!val!6))))). % 107.75/107.95 tff(formula20, axiom, % 107.75/107.95 ![X0: $i, X1: $i] : (red(X0, X1) <=> (((k!171(X1) = $i!val!2) & (k!171(X0) = $i!val!15)) | ((k!171(X1) = $i!val!2) & (k!171(X0) = $i!val!12)) | ((k!171(X1) = $i!val!2) & (k!171(X0) = $i!val!11)) | ((k!171(X1) = $i!val!5) & (k!171(X0) = $i!val!16)) | ((k!171(X1) = $i!val!4) & (k!171(X0) = $i!val!14)) | ((k!171(X1) = $i!val!4) & (k!171(X0) = $i!val!13)) | ((k!171(X1) = $i!val!3) & (k!171(X0) = $i!val!16)) | ((k!171(X1) = $i!val!4) & (k!171(X0) = $i!val!16)) | ((k!171(X1) = $i!val!7) & (k!171(X0) = $i!val!16)) | ((k!171(X1) = $i!val!0) & (k!171(X0) = $i!val!13)) | ((k!171(X1) = $i!val!1) & (k!171(X0) = $i!val!5)) | ((k!171(X1) = $i!val!0) & (k!171(X0) = $i!val!4)) | ((k!171(X1) = $i!val!0) & (k!171(X0) = $i!val!7)) | ((k!171(X1) = $i!val!0) & (k!171(X0) = $i!val!6)) | ((k!171(X1) = $i!val!12) & (k!171(X0) = $i!val!15)) | ((k!171(X1) = $i!val!7) & (k!171(X0) = $i!val!13)) | ((k!171(X1) = $i!val!2) & (k!171(X0) = $i!val!9)) | ((k!171(X1) = $i!val!8) & (k!171(X0) = $i!val!14)) | ((k!171(X1) = $i!val!6) & (k!171(X0) = $i!val!12)) | ((k!171(X1) = $i!val!6) & (k!171(X0) = $i!val!11)) | ((k!171(X1) = $i!val!0) & (k!171(X0) = $i!val!11)) | ((k!171(X1) = $i!val!1) & (k!171(X0) = $i!val!10)) | ((k!171(X1) = $i!val!0) & (k!171(X0) = $i!val!16)) | ((k!171(X1) = $i!val!0) & (k!171(X0) = $i!val!12)) | ((k!171(X1) = $i!val!9) & (k!171(X0) = $i!val!15)) | ((k!171(X1) = $i!val!9) & (k!171(X0) = $i!val!14)) | ((k!171(X1) = $i!val!8) & (k!171(X0) = $i!val!15)) | ((k!171(X1) = $i!val!7) & (k!171(X0) = $i!val!9)) | ((k!171(X1) = $i!val!9) & (k!171(X0) = $i!val!10)) | ((k!171(X1) = $i!val!5) & (k!171(X0) = $i!val!6)) | ((k!171(X1) = $i!val!3) & (k!171(X0) = $i!val!4)) | ((k!171(X1) = $i!val!2) & (k!171(X0) = $i!val!3)) | ((k!171(X1) = $i!val!6) & (k!171(X0) = $i!val!8)) | ((k!171(X1) = $i!val!5) & (k!171(X0) = $i!val!7)) | ((k!171(X1) = $i!val!3) & (k!171(X0) = $i!val!5)) | ((k!171(X1) = $i!val!2) & (k!171(X0) = $i!val!4)) | ((k!171(X1) = $i!val!0) & (k!171(X0) = $i!val!2)) | ((k!171(X1) = $i!val!7) & (k!171(X0) = $i!val!12)) | ((k!171(X1) = $i!val!1) & (k!171(X0) = $i!val!3)) | ((k!171(X1) = $i!val!15) & (k!171(X0) = $i!val!16)) | ((k!171(X1) = $i!val!14) & (k!171(X0) = $i!val!15)) | ((k!171(X1) = $i!val!13) & (k!171(X0) = $i!val!14)) | ((k!171(X1) = $i!val!10) & (k!171(X0) = $i!val!12)) | ((k!171(X1) = $i!val!9) & (k!171(X0) = $i!val!11)) | ((k!171(X1) = $i!val!10) & (k!171(X0) = $i!val!14)) | ((k!171(X1) = $i!val!9) & (k!171(X0) = $i!val!13)) | ((k!171(X1) = $i!val!8) & (k!171(X0) = $i!val!12)) | ((k!171(X1) = $i!val!8) & (k!171(X0) = $i!val!11)) | ((k!171(X1) = $i!val!6) & (k!171(X0) = $i!val!10)) | ((k!171(X1) = $i!val!5) & (k!171(X0) = $i!val!9)) | ((k!171(X1) = $i!val!1) & (k!171(X0) = $i!val!4)) | ((k!171(X1) = $i!val!14) & (k!171(X0) = $i!val!16)) | ((k!171(X1) = $i!val!11) & (k!171(X0) = $i!val!13)) | ((k!171(X1) = $i!val!6) & (k!171(X0) = $i!val!14)) | ((k!171(X1) = $i!val!2) & (k!171(X0) = $i!val!10)) | ((k!171(X1) = $i!val!1) & (k!171(X0) = $i!val!8)) | ((k!171(X1) = $i!val!1) & (k!171(X0) = $i!val!7)) | ((k!171(X1) = $i!val!8) & (k!171(X0) = $i!val!13)) | ((k!171(X1) = $i!val!7) & (k!171(X0) = $i!val!15)) | ((k!171(X1) = $i!val!5) & (k!171(X0) = $i!val!11)) | ((k!171(X1) = $i!val!5) & (k!171(X0) = $i!val!10)) | ((k!171(X1) = $i!val!4) & (k!171(X0) = $i!val!10)) | ((k!171(X1) = $i!val!3) & (k!171(X0) = $i!val!11)) | ((k!171(X1) = $i!val!3) & (k!171(X0) = $i!val!8)) | ((k!171(X1) = $i!val!1) & (k!171(X0) = $i!val!13)) | ((k!171(X1) = $i!val!1) & (k!171(X0) = $i!val!12)) | ((k!171(X1) = $i!val!3) & (k!171(X0) = $i!val!15)) | ((k!171(X1) = $i!val!6) & (k!171(X0) = $i!val!16))))). % 107.75/107.95 tff(formula21, axiom, % 107.75/107.95 ![X0: $i, X1: $i] : (green(X0, X1) <=> (((k!171(X1) = $i!val!5) & (k!171(X0) = $i!val!8)) | ((k!171(X1) = $i!val!10) & (k!171(X0) = $i!val!13)) | ((k!171(X1) = $i!val!8) & (k!171(X0) = $i!val!16)) | ((k!171(X1) = $i!val!1) & (k!171(X0) = $i!val!11)) | ((k!171(X1) = $i!val!4) & (k!171(X0) = $i!val!5)) | ((k!171(X1) = $i!val!2) & (k!171(X0) = $i!val!16)) | ((k!171(X1) = $i!val!2) & (k!171(X0) = $i!val!5)) | ((k!171(X1) = $i!val!7) & (k!171(X0) = $i!val!14)) | ((k!171(X1) = $i!val!1) & (k!171(X0) = $i!val!9)) | ((k!171(X1) = $i!val!1) & (k!171(X0) = $i!val!16)) | ((k!171(X1) = $i!val!4) & (k!171(X0) = $i!val!8)) | ((k!171(X1) = $i!val!4) & (k!171(X0) = $i!val!11)) | ((k!171(X1) = $i!val!8) & (k!171(X0) = $i!val!10)) | ((k!171(X1) = $i!val!9) & (k!171(X0) = $i!val!12)) | ((k!171(X1) = $i!val!10) & (k!171(X0) = $i!val!15)) | ((k!171(X1) = $i!val!4) & (k!171(X0) = $i!val!9)) | ((k!171(X1) = $i!val!2) & (k!171(X0) = $i!val!8)) | ((k!171(X1) = $i!val!3) & (k!171(X0) = $i!val!14)) | ((k!171(X1) = $i!val!5) & (k!171(X0) = $i!val!13)) | ((k!171(X1) = $i!val!5) & (k!171(X0) = $i!val!14)) | ((k!171(X1) = $i!val!11) & (k!171(X0) = $i!val!14)) | ((k!171(X1) = $i!val!13) & (k!171(X0) = $i!val!16)) | ((k!171(X1) = $i!val!9) & (k!171(X0) = $i!val!16)) | ((k!171(X1) = $i!val!4) & (k!171(X0) = $i!val!12)) | ((k!171(X1) = $i!val!1) & (k!171(X0) = $i!val!6)) | ((k!171(X1) = $i!val!1) & (k!171(X0) = $i!val!15)) | ((k!171(X1) = $i!val!3) & (k!171(X0) = $i!val!13)) | ((k!171(X1) = $i!val!0) & (k!171(X0) = $i!val!10)) | ((k!171(X1) = $i!val!12) & (k!171(X0) = $i!val!13)) | ((k!171(X1) = $i!val!12) & (k!171(X0) = $i!val!16)) | ((k!171(X1) = $i!val!11) & (k!171(X0) = $i!val!15)) | ((k!171(X1) = $i!val!1) & (k!171(X0) = $i!val!14)) | ((k!171(X1) = $i!val!4) & (k!171(X0) = $i!val!15)) | ((k!171(X1) = $i!val!1) & (k!171(X0) = $i!val!2)) | ((k!171(X1) = $i!val!5) & (k!171(X0) = $i!val!12)) | ((k!171(X1) = $i!val!10) & (k!171(X0) = $i!val!11)) | ((k!171(X1) = $i!val!8) & (k!171(X0) = $i!val!9)) | ((k!171(X1) = $i!val!0) & (k!171(X0) = $i!val!1)) | ((k!171(X1) = $i!val!7) & (k!171(X0) = $i!val!11)) | ((k!171(X1) = $i!val!0) & (k!171(X0) = $i!val!3)) | ((k!171(X1) = $i!val!11) & (k!171(X0) = $i!val!16)) | ((k!171(X1) = $i!val!10) & (k!171(X0) = $i!val!16)) | ((k!171(X1) = $i!val!7) & (k!171(X0) = $i!val!8)) | ((k!171(X1) = $i!val!6) & (k!171(X0) = $i!val!7)) | ((k!171(X1) = $i!val!2) & (k!171(X0) = $i!val!6)) | ((k!171(X1) = $i!val!3) & (k!171(X0) = $i!val!7)) | ((k!171(X1) = $i!val!13) & (k!171(X0) = $i!val!15)) | ((k!171(X1) = $i!val!12) & (k!171(X0) = $i!val!14)) | ((k!171(X1) = $i!val!3) & (k!171(X0) = $i!val!6)) | ((k!171(X1) = $i!val!11) & (k!171(X0) = $i!val!12)) | ((k!171(X1) = $i!val!6) & (k!171(X0) = $i!val!9)) | ((k!171(X1) = $i!val!7) & (k!171(X0) = $i!val!10)) | ((k!171(X1) = $i!val!3) & (k!171(X0) = $i!val!10)) | ((k!171(X1) = $i!val!3) & (k!171(X0) = $i!val!9)) | ((k!171(X1) = $i!val!4) & (k!171(X0) = $i!val!7)) | ((k!171(X1) = $i!val!2) & (k!171(X0) = $i!val!7)) | ((k!171(X1) = $i!val!6) & (k!171(X0) = $i!val!13)) | ((k!171(X1) = $i!val!3) & (k!171(X0) = $i!val!12)) | ((k!171(X1) = $i!val!0) & (k!171(X0) = $i!val!5)) | ((k!171(X1) = $i!val!0) & (k!171(X0) = $i!val!9)) | ((k!171(X1) = $i!val!0) & (k!171(X0) = $i!val!15)) | ((k!171(X1) = $i!val!0) & (k!171(X0) = $i!val!14)) | ((k!171(X1) = $i!val!6) & (k!171(X0) = $i!val!15)) | ((k!171(X1) = $i!val!5) & (k!171(X0) = $i!val!15)) | ((k!171(X1) = $i!val!2) & (k!171(X0) = $i!val!14)) | ((k!171(X1) = $i!val!2) & (k!171(X0) = $i!val!13)) | ((k!171(X1) = $i!val!0) & (k!171(X0) = $i!val!8)) | ((k!171(X1) = $i!val!4) & (k!171(X0) = $i!val!6))))). % 107.75/107.95 tff(formula22, axiom, % 107.75/107.95 k!171($i!val!3) = $i!val!3). % 107.75/107.95 tff(formula23, axiom, % 107.75/107.95 k!171($i!val!0) = $i!val!0). % 107.75/107.95 tff(formula24, axiom, % 107.75/107.95 k!171($i!val!12) = $i!val!12). % 107.75/107.95 tff(formula25, axiom, % 107.75/107.95 k!171($i!val!8) = $i!val!8). % 107.75/107.95 tff(formula26, axiom, % 107.75/107.95 k!171($i!val!4) = $i!val!4). % 107.75/107.95 tff(formula27, axiom, % 107.75/107.95 k!171($i!val!7) = $i!val!7). % 107.75/107.95 tff(formula28, axiom, % 107.75/107.95 k!171($i!val!9) = $i!val!9). % 107.75/107.95 tff(formula29, axiom, % 107.75/107.95 k!171($i!val!13) = $i!val!13). % 107.75/107.95 tff(formula30, axiom, % 107.75/107.95 k!171($i!val!2) = $i!val!2). % 107.75/107.95 tff(formula31, axiom, % 107.75/107.95 k!171($i!val!1) = $i!val!1). % 107.75/107.95 tff(formula32, axiom, % 107.75/107.95 k!171($i!val!11) = $i!val!11). % 107.75/107.95 tff(formula33, axiom, % 107.75/107.95 k!171($i!val!14) = $i!val!14). % 107.75/107.95 tff(formula34, axiom, % 107.75/107.95 k!171($i!val!5) = $i!val!5). % 107.75/107.95 tff(formula35, axiom, % 107.75/107.95 k!171($i!val!10) = $i!val!10). % 107.75/107.95 tff(formula36, axiom, % 107.75/107.95 k!171($i!val!16) = $i!val!16). % 107.75/107.95 tff(formula37, axiom, % 107.75/107.95 k!171($i!val!6) = $i!val!6). % 107.75/107.95 tff(formula38, axiom, % 107.75/107.95 ![X0: $i] : ((~((($i!val!3 = X0)) | (($i!val!0 = X0)) | (($i!val!12 = X0)) | (($i!val!8 = X0)) | (($i!val!4 = X0)) | (($i!val!7 = X0)) | (($i!val!9 = X0)) | (($i!val!13 = X0)) | (($i!val!2 = X0)) | (($i!val!1 = X0)) | (($i!val!11 = X0)) | (($i!val!14 = X0)) | (($i!val!5 = X0)) | (($i!val!10 = X0)) | (($i!val!16 = X0)) | (($i!val!6 = X0)))) => (k!171(X0) = $i!val!15))). % 107.75/107.95 % SZS output end Model % 107.75/107.96 % E exiting %------------------------------------------------------------------------------