%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : GRA024+1 : TPTP v9.0.0. Released v3.2.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n011.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 5.06s 5.22s % Output : Model 5.06s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : GRA024+1 : TPTP v9.0.0. Released v3.2.0. % 0.11/0.12 % Command : run_E %s %d THM % 0.14/0.34 % Computer : n011.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 300 % 0.14/0.34 % DateTime : Thu Jun 19 15:24:26 EDT 2025 % 0.14/0.34 % CPUTime : % 5.06/5.22 % SZS status CounterSatisfiable % 5.06/5.22 % SZS output start Model % 5.06/5.22 tff(tptp_fun__i_val_2_type, type, ( % 5.06/5.22 tptp_fun__i_val_2: $i)). % 5.06/5.22 tff(n3_type, type, ( % 5.06/5.22 n3: $i)). % 5.06/5.22 tff(tptp_fun__i_val_3_type, type, ( % 5.06/5.22 tptp_fun__i_val_3: $i)). % 5.06/5.22 tff(n4_type, type, ( % 5.06/5.22 n4: $i)). % 5.06/5.22 tff(tptp_fun__i_val_0_type, type, ( % 5.06/5.22 tptp_fun__i_val_0: $i)). % 5.06/5.22 tff(n1_type, type, ( % 5.06/5.22 n1: $i)). % 5.06/5.22 tff(tptp_fun__i_val_1_type, type, ( % 5.06/5.22 tptp_fun__i_val_1: $i)). % 5.06/5.22 tff(n2_type, type, ( % 5.06/5.22 n2: $i)). % 5.06/5.22 tff(goal_type, type, ( % 5.06/5.22 goal: $o)). % 5.06/5.22 tff(tptp_fun__i_val_8_type, type, ( % 5.06/5.22 tptp_fun__i_val_8: $i)). % 5.06/5.22 tff(n9_type, type, ( % 5.06/5.22 n9: $i)). % 5.06/5.22 tff(tptp_fun__i_val_4_type, type, ( % 5.06/5.22 tptp_fun__i_val_4: $i)). % 5.06/5.22 tff(n5_type, type, ( % 5.06/5.22 n5: $i)). % 5.06/5.22 tff(tptp_fun__i_val_7_type, type, ( % 5.06/5.22 tptp_fun__i_val_7: $i)). % 5.06/5.22 tff(n8_type, type, ( % 5.06/5.22 n8: $i)). % 5.06/5.22 tff(tptp_fun__i_val_5_type, type, ( % 5.06/5.22 tptp_fun__i_val_5: $i)). % 5.06/5.22 tff(n6_type, type, ( % 5.06/5.22 n6: $i)). % 5.06/5.22 tff(tptp_fun__i_val_9_type, type, ( % 5.06/5.22 tptp_fun__i_val_9: $i)). % 5.06/5.22 tff(n10_type, type, ( % 5.06/5.22 n10: $i)). % 5.06/5.22 tff(tptp_fun__i_val_10_type, type, ( % 5.06/5.22 tptp_fun__i_val_10: $i)). % 5.06/5.22 tff(n11_type, type, ( % 5.06/5.22 n11: $i)). % 5.06/5.22 tff(tptp_fun__i_val_6_type, type, ( % 5.06/5.22 tptp_fun__i_val_6: $i)). % 5.06/5.22 tff(n7_type, type, ( % 5.06/5.22 n7: $i)). % 5.06/5.22 tff(k!161_type, type, ( % 5.06/5.22 k!161: $i > $i)). % 5.06/5.22 tff(green_type, type, ( % 5.06/5.22 green: ( $i * $i ) > $o)). % 5.06/5.22 tff(red_type, type, ( % 5.06/5.22 red: ( $i * $i ) > $o)). % 5.06/5.22 tff(less_than_type, type, ( % 5.06/5.22 less_than: ( $i * $i ) > $o)). % 5.06/5.22 tff(formula1, axiom, % 5.06/5.22 n3 = $i!val!2). % 5.06/5.22 tff(formula2, axiom, % 5.06/5.22 n4 = $i!val!3). % 5.06/5.22 tff(formula3, axiom, % 5.06/5.22 n1 = $i!val!0). % 5.06/5.22 tff(formula4, axiom, % 5.06/5.22 n2 = $i!val!1). % 5.06/5.22 tff(formula5, axiom, % 5.06/5.22 goal <=> $false). % 5.06/5.22 tff(formula6, axiom, % 5.06/5.22 n9 = $i!val!8). % 5.06/5.22 tff(formula7, axiom, % 5.06/5.22 n5 = $i!val!4). % 5.06/5.22 tff(formula8, axiom, % 5.06/5.22 n8 = $i!val!7). % 5.06/5.22 tff(formula9, axiom, % 5.06/5.22 n6 = $i!val!5). % 5.06/5.22 tff(formula10, axiom, % 5.06/5.22 n10 = $i!val!9). % 5.06/5.22 tff(formula11, axiom, % 5.06/5.22 n11 = $i!val!10). % 5.06/5.22 tff(formula12, axiom, % 5.06/5.22 n7 = $i!val!6). % 5.06/5.22 tff(formula13, axiom, % 5.06/5.22 ![X0: $i, X1: $i] : (green(X0, X1) <=> (((k!161(X1) = $i!val!1) & (k!161(X0) = $i!val!6)) | ((k!161(X1) = $i!val!0) & (k!161(X0) = $i!val!8)) | ((k!161(X1) = $i!val!0) & (k!161(X0) = $i!val!7)) | ((k!161(X1) = $i!val!0) & (k!161(X0) = $i!val!6)) | ((k!161(X1) = $i!val!6) & (k!161(X0) = $i!val!9)) | ((k!161(X1) = $i!val!5) & (k!161(X0) = $i!val!9)) | ((k!161(X1) = $i!val!4) & (k!161(X0) = $i!val!8)) | ((k!161(X1) = $i!val!0) & (k!161(X0) = $i!val!9)) | ((k!161(X1) = $i!val!4) & (k!161(X0) = $i!val!7)) | ((k!161(X1) = $i!val!4) & (k!161(X0) = $i!val!10)) | ((k!161(X1) = $i!val!4) & (k!161(X0) = $i!val!9)) | ((k!161(X1) = $i!val!3) & (k!161(X0) = $i!val!10)) | ((k!161(X1) = $i!val!3) & (k!161(X0) = $i!val!9)) | ((k!161(X1) = $i!val!3) & (k!161(X0) = $i!val!8)) | ((k!161(X1) = $i!val!2) & (k!161(X0) = $i!val!10)) | ((k!161(X1) = $i!val!2) & (k!161(X0) = $i!val!9)) | ((k!161(X1) = $i!val!2) & (k!161(X0) = $i!val!8)) | ((k!161(X1) = $i!val!2) & (k!161(X0) = $i!val!7)) | ((k!161(X1) = $i!val!1) & (k!161(X0) = $i!val!9)) | ((k!161(X1) = $i!val!1) & (k!161(X0) = $i!val!8)) | ((k!161(X1) = $i!val!1) & (k!161(X0) = $i!val!10)) | ((k!161(X1) = $i!val!1) & (k!161(X0) = $i!val!4)) | ((k!161(X1) = $i!val!2) & (k!161(X0) = $i!val!3)) | ((k!161(X1) = $i!val!5) & (k!161(X0) = $i!val!7)) | ((k!161(X1) = $i!val!0) & (k!161(X0) = $i!val!2)) | ((k!161(X1) = $i!val!8) & (k!161(X0) = $i!val!10)) | ((k!161(X1) = $i!val!7) & (k!161(X0) = $i!val!9)) | ((k!161(X1) = $i!val!1) & (k!161(X0) = $i!val!3)) | ((k!161(X1) = $i!val!9) & (k!161(X0) = $i!val!10)) | ((k!161(X1) = $i!val!8) & (k!161(X0) = $i!val!9)) | ((k!161(X1) = $i!val!7) & (k!161(X0) = $i!val!8)) | ((k!161(X1) = $i!val!6) & (k!161(X0) = $i!val!7)) | ((k!161(X1) = $i!val!4) & (k!161(X0) = $i!val!5)) | ((k!161(X1) = $i!val!3) & (k!161(X0) = $i!val!6))))). % 5.06/5.22 tff(formula14, axiom, % 5.06/5.22 ![X0: $i, X1: $i] : (red(X0, X1) <=> (((k!161(X1) = $i!val!0) & (k!161(X0) = $i!val!5)) | ((k!161(X1) = $i!val!7) & (k!161(X0) = $i!val!10)) | ((k!161(X1) = $i!val!6) & (k!161(X0) = $i!val!10)) | ((k!161(X1) = $i!val!5) & (k!161(X0) = $i!val!8)) | ((k!161(X1) = $i!val!5) & (k!161(X0) = $i!val!10)) | ((k!161(X1) = $i!val!2) & (k!161(X0) = $i!val!6)) | ((k!161(X1) = $i!val!1) & (k!161(X0) = $i!val!5)) | ((k!161(X1) = $i!val!2) & (k!161(X0) = $i!val!4)) | ((k!161(X1) = $i!val!1) & (k!161(X0) = $i!val!2)) | ((k!161(X1) = $i!val!0) & (k!161(X0) = $i!val!1)) | ((k!161(X1) = $i!val!2) & (k!161(X0) = $i!val!5)) | ((k!161(X1) = $i!val!0) & (k!161(X0) = $i!val!4)) | ((k!161(X1) = $i!val!0) & (k!161(X0) = $i!val!3)) | ((k!161(X1) = $i!val!6) & (k!161(X0) = $i!val!8)) | ((k!161(X1) = $i!val!3) & (k!161(X0) = $i!val!4)) | ((k!161(X1) = $i!val!4) & (k!161(X0) = $i!val!6)) | ((k!161(X1) = $i!val!3) & (k!161(X0) = $i!val!5)) | ((k!161(X1) = $i!val!5) & (k!161(X0) = $i!val!6)) | ((k!161(X1) = $i!val!3) & (k!161(X0) = $i!val!7)) | ((k!161(X1) = $i!val!1) & (k!161(X0) = $i!val!7)) | ((k!161(X1) = $i!val!0) & (k!161(X0) = $i!val!10))))). % 5.06/5.22 tff(formula15, axiom, % 5.06/5.22 k!161($i!val!3) = $i!val!3). % 5.06/5.22 tff(formula16, axiom, % 5.06/5.22 k!161($i!val!0) = $i!val!0). % 5.06/5.22 tff(formula17, axiom, % 5.06/5.22 k!161($i!val!1) = $i!val!1). % 5.06/5.22 tff(formula18, axiom, % 5.06/5.22 k!161($i!val!8) = $i!val!8). % 5.06/5.22 tff(formula19, axiom, % 5.06/5.22 k!161($i!val!4) = $i!val!4). % 5.06/5.22 tff(formula20, axiom, % 5.06/5.22 k!161($i!val!7) = $i!val!7). % 5.06/5.22 tff(formula21, axiom, % 5.06/5.22 k!161($i!val!5) = $i!val!5). % 5.06/5.22 tff(formula22, axiom, % 5.06/5.22 k!161($i!val!9) = $i!val!9). % 5.06/5.22 tff(formula23, axiom, % 5.06/5.22 k!161($i!val!10) = $i!val!10). % 5.06/5.22 tff(formula24, axiom, % 5.06/5.22 k!161($i!val!2) = $i!val!2). % 5.06/5.22 tff(formula25, axiom, % 5.06/5.22 ![X0: $i] : ((~((($i!val!3 = X0)) | (($i!val!0 = X0)) | (($i!val!1 = X0)) | (($i!val!8 = X0)) | (($i!val!4 = X0)) | (($i!val!7 = X0)) | (($i!val!5 = X0)) | (($i!val!9 = X0)) | (($i!val!10 = X0)) | (($i!val!2 = X0)))) => (k!161(X0) = $i!val!6))). % 5.06/5.22 tff(formula26, axiom, % 5.06/5.22 ![X0: $i, X1: $i] : (less_than(X0, X1) <=> (((k!161(X1) = $i!val!1) & (k!161(X0) = $i!val!6)) | ((k!161(X1) = $i!val!0) & (k!161(X0) = $i!val!8)) | ((k!161(X1) = $i!val!0) & (k!161(X0) = $i!val!7)) | ((k!161(X1) = $i!val!0) & (k!161(X0) = $i!val!6)) | ((k!161(X1) = $i!val!0) & (k!161(X0) = $i!val!5)) | ((k!161(X1) = $i!val!7) & (k!161(X0) = $i!val!10)) | ((k!161(X1) = $i!val!6) & (k!161(X0) = $i!val!10)) | ((k!161(X1) = $i!val!6) & (k!161(X0) = $i!val!9)) | ((k!161(X1) = $i!val!5) & (k!161(X0) = $i!val!9)) | ((k!161(X1) = $i!val!5) & (k!161(X0) = $i!val!8)) | ((k!161(X1) = $i!val!4) & (k!161(X0) = $i!val!8)) | ((k!161(X1) = $i!val!0) & (k!161(X0) = $i!val!9)) | ((k!161(X1) = $i!val!4) & (k!161(X0) = $i!val!7)) | ((k!161(X1) = $i!val!4) & (k!161(X0) = $i!val!10)) | ((k!161(X1) = $i!val!4) & (k!161(X0) = $i!val!9)) | ((k!161(X1) = $i!val!3) & (k!161(X0) = $i!val!10)) | ((k!161(X1) = $i!val!3) & (k!161(X0) = $i!val!9)) | ((k!161(X1) = $i!val!3) & (k!161(X0) = $i!val!8)) | ((k!161(X1) = $i!val!2) & (k!161(X0) = $i!val!10)) | ((k!161(X1) = $i!val!2) & (k!161(X0) = $i!val!9)) | ((k!161(X1) = $i!val!2) & (k!161(X0) = $i!val!8)) | ((k!161(X1) = $i!val!2) & (k!161(X0) = $i!val!7)) | ((k!161(X1) = $i!val!1) & (k!161(X0) = $i!val!9)) | ((k!161(X1) = $i!val!1) & (k!161(X0) = $i!val!8)) | ((k!161(X1) = $i!val!5) & (k!161(X0) = $i!val!10)) | ((k!161(X1) = $i!val!1) & (k!161(X0) = $i!val!10)) | ((k!161(X1) = $i!val!2) & (k!161(X0) = $i!val!6)) | ((k!161(X1) = $i!val!1) & (k!161(X0) = $i!val!5)) | ((k!161(X1) = $i!val!1) & (k!161(X0) = $i!val!4)) | ((k!161(X1) = $i!val!2) & (k!161(X0) = $i!val!4)) | ((k!161(X1) = $i!val!2) & (k!161(X0) = $i!val!3)) | ((k!161(X1) = $i!val!1) & (k!161(X0) = $i!val!2)) | ((k!161(X1) = $i!val!0) & (k!161(X0) = $i!val!1)) | ((k!161(X1) = $i!val!5) & (k!161(X0) = $i!val!7)) | ((k!161(X1) = $i!val!0) & (k!161(X0) = $i!val!2)) | ((k!161(X1) = $i!val!2) & (k!161(X0) = $i!val!5)) | ((k!161(X1) = $i!val!0) & (k!161(X0) = $i!val!4)) | ((k!161(X1) = $i!val!0) & (k!161(X0) = $i!val!3)) | ((k!161(X1) = $i!val!8) & (k!161(X0) = $i!val!10)) | ((k!161(X1) = $i!val!7) & (k!161(X0) = $i!val!9)) | ((k!161(X1) = $i!val!6) & (k!161(X0) = $i!val!8)) | ((k!161(X1) = $i!val!1) & (k!161(X0) = $i!val!3)) | ((k!161(X1) = $i!val!3) & (k!161(X0) = $i!val!4)) | ((k!161(X1) = $i!val!4) & (k!161(X0) = $i!val!6)) | ((k!161(X1) = $i!val!3) & (k!161(X0) = $i!val!5)) | ((k!161(X1) = $i!val!9) & (k!161(X0) = $i!val!10)) | ((k!161(X1) = $i!val!8) & (k!161(X0) = $i!val!9)) | ((k!161(X1) = $i!val!7) & (k!161(X0) = $i!val!8)) | ((k!161(X1) = $i!val!6) & (k!161(X0) = $i!val!7)) | ((k!161(X1) = $i!val!5) & (k!161(X0) = $i!val!6)) | ((k!161(X1) = $i!val!4) & (k!161(X0) = $i!val!5)) | ((k!161(X1) = $i!val!3) & (k!161(X0) = $i!val!7)) | ((k!161(X1) = $i!val!3) & (k!161(X0) = $i!val!6)) | ((k!161(X1) = $i!val!1) & (k!161(X0) = $i!val!7)) | ((k!161(X1) = $i!val!0) & (k!161(X0) = $i!val!10))))). % 5.06/5.22 % SZS output end Model % 5.06/5.22 % E exiting %------------------------------------------------------------------------------