%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : GRA013+1 : TPTP v9.0.0. Released v3.2.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n008.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 05:06:37 AM UTC 2025 % Result : CounterSatisfiable 0.19s 0.42s % Output : Model 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRA013+1 : TPTP v9.0.0. Released v3.2.0. % 0.00/0.12 % Command : run_E %s %d THM % 0.12/0.33 % Computer : n008.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 15:22:48 EDT 2025 % 0.12/0.33 % CPUTime : % 0.19/0.42 % SZS status CounterSatisfiable % 0.19/0.42 % SZS output start Model % 0.19/0.42 tff(tptp_fun__i_val_2_type, type, ( % 0.19/0.42 tptp_fun__i_val_2: $i)). % 0.19/0.42 tff(n3_type, type, ( % 0.19/0.42 n3: $i)). % 0.19/0.42 tff(goal_type, type, ( % 0.19/0.42 goal: $o)). % 0.19/0.42 tff(tptp_fun__i_val_4_type, type, ( % 0.19/0.42 tptp_fun__i_val_4: $i)). % 0.19/0.42 tff(n5_type, type, ( % 0.19/0.42 n5: $i)). % 0.19/0.42 tff(tptp_fun__i_val_3_type, type, ( % 0.19/0.42 tptp_fun__i_val_3: $i)). % 0.19/0.42 tff(n4_type, type, ( % 0.19/0.42 n4: $i)). % 0.19/0.42 tff(tptp_fun__i_val_0_type, type, ( % 0.19/0.42 tptp_fun__i_val_0: $i)). % 0.19/0.42 tff(n1_type, type, ( % 0.19/0.42 n1: $i)). % 0.19/0.42 tff(tptp_fun__i_val_1_type, type, ( % 0.19/0.42 tptp_fun__i_val_1: $i)). % 0.19/0.42 tff(n2_type, type, ( % 0.19/0.42 n2: $i)). % 0.19/0.42 tff(less_than_type, type, ( % 0.19/0.42 less_than: ( $i * $i ) > $o)). % 0.19/0.42 tff(red_type, type, ( % 0.19/0.42 red: ( $i * $i ) > $o)). % 0.19/0.42 tff(green_type, type, ( % 0.19/0.42 green: ( $i * $i ) > $o)). % 0.19/0.42 tff(formula1, axiom, % 0.19/0.42 n3 = $i!val!2). % 0.19/0.42 tff(formula2, axiom, % 0.19/0.42 goal <=> $false). % 0.19/0.42 tff(formula3, axiom, % 0.19/0.42 n5 = $i!val!4). % 0.19/0.42 tff(formula4, axiom, % 0.19/0.42 n4 = $i!val!3). % 0.19/0.42 tff(formula5, axiom, % 0.19/0.42 n1 = $i!val!0). % 0.19/0.42 tff(formula6, axiom, % 0.19/0.42 n2 = $i!val!1). % 0.19/0.42 tff(formula7, axiom, % 0.19/0.42 ![X0: $i, X1: $i] : (less_than(X0, X1) <=> (((X1 = $i!val!0) & (~(X1 = $i!val!2)) & (X0 = $i!val!2)) | ((~(X1 = $i!val!4)) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (X0 = $i!val!4) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2))) | ((X1 = $i!val!0) & (~(X1 = $i!val!2)) & (X0 = $i!val!4) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2))) | ((X1 = $i!val!0) & (~(X1 = $i!val!2)) & (~(X0 = $i!val!4)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2))) | ((X1 = $i!val!3) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (X0 = $i!val!4) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2))) | ((X1 = $i!val!2) & (X0 = $i!val!3) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2))) | ((X1 = $i!val!0) & (~(X1 = $i!val!2)) & (X0 = $i!val!3) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2))) | ((~(X1 = $i!val!4)) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (X0 = $i!val!2)) | ((~(X1 = $i!val!4)) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (X0 = $i!val!3) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2))) | ((X1 = $i!val!2) & (X0 = $i!val!4) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2)))))). % 0.19/0.42 tff(formula8, axiom, % 0.19/0.42 ![X0: $i, X1: $i] : (red(X0, X1) <=> (((X1 = $i!val!0) & (~(X1 = $i!val!2)) & (X0 = $i!val!2)) | ((~(X1 = $i!val!4)) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (X0 = $i!val!4) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2))) | ((X1 = $i!val!0) & (~(X1 = $i!val!2)) & (~(X0 = $i!val!4)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2))) | ((X1 = $i!val!3) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (X0 = $i!val!4) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2))) | ((X1 = $i!val!2) & (X0 = $i!val!3) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2)))))). % 0.19/0.42 tff(formula9, axiom, % 0.19/0.42 ![X0: $i, X1: $i] : (green(X0, X1) <=> (((X1 = $i!val!0) & (~(X1 = $i!val!2)) & (X0 = $i!val!4) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2))) | ((X1 = $i!val!0) & (~(X1 = $i!val!2)) & (X0 = $i!val!3) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2))) | ((~(X1 = $i!val!4)) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (X0 = $i!val!2)) | ((~(X1 = $i!val!4)) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (X0 = $i!val!3) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2))) | ((X1 = $i!val!2) & (X0 = $i!val!4) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2)))))). % 0.19/0.42 % SZS output end Model % 0.19/0.42 % E exiting %------------------------------------------------------------------------------