%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : BOO008-3 : TPTP v9.0.0. Released v1.0.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n015.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 05:00:07 AM UTC 2025 % Result : Satisfiable 0.22s 0.40s % Output : Model 0.22s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.05/0.14 % Problem : BOO008-3 : TPTP v9.0.0. Released v1.0.0. % 0.05/0.14 % Command : run_E %s %d THM % 0.14/0.36 % Computer : n015.cluster.edu % 0.14/0.36 % Model : x86_64 x86_64 % 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.36 % Memory : 8042.1875MB % 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.36 % CPULimit : 300 % 0.14/0.36 % WCLimit : 300 % 0.14/0.36 % DateTime : Thu Jun 19 11:38:11 EDT 2025 % 0.14/0.36 % CPUTime : % 0.22/0.40 % SZS status Satisfiable % 0.22/0.40 % SZS output start Model % 0.22/0.40 tff(tptp_fun__i_val_4_type, type, ( % 0.22/0.40 tptp_fun__i_val_4: $i)). % 0.22/0.40 tff(x__plus_y_plus_z_type, type, ( % 0.22/0.40 x__plus_y_plus_z: $i)). % 0.22/0.40 tff(tptp_fun__i_val_0_type, type, ( % 0.22/0.40 tptp_fun__i_val_0: $i)). % 0.22/0.40 tff(additive_identity_type, type, ( % 0.22/0.40 additive_identity: $i)). % 0.22/0.40 tff(multiplicative_identity_type, type, ( % 0.22/0.40 multiplicative_identity: $i)). % 0.22/0.40 tff(y_type, type, ( % 0.22/0.40 y: $i)). % 0.22/0.40 tff(tptp_fun__i_val_5_type, type, ( % 0.22/0.40 tptp_fun__i_val_5: $i)). % 0.22/0.40 tff(x_plus_y_type, type, ( % 0.22/0.40 x_plus_y: $i)). % 0.22/0.40 tff(tptp_fun__i_val_1_type, type, ( % 0.22/0.40 tptp_fun__i_val_1: $i)). % 0.22/0.40 tff(z_type, type, ( % 0.22/0.40 z: $i)). % 0.22/0.40 tff(tptp_fun__i_val_2_type, type, ( % 0.22/0.40 tptp_fun__i_val_2: $i)). % 0.22/0.40 tff(y_plus_z_type, type, ( % 0.22/0.40 y_plus_z: $i)). % 0.22/0.40 tff(tptp_fun__i_val_6_type, type, ( % 0.22/0.40 tptp_fun__i_val_6: $i)). % 0.22/0.40 tff(x_plus_y__plus_z_type, type, ( % 0.22/0.40 x_plus_y__plus_z: $i)). % 0.22/0.40 tff(tptp_fun__i_val_3_type, type, ( % 0.22/0.40 tptp_fun__i_val_3: $i)). % 0.22/0.40 tff(x_type, type, ( % 0.22/0.40 x: $i)). % 0.22/0.40 tff(add_type, type, ( % 0.22/0.40 add: ( $i * $i ) > $i)). % 0.22/0.40 tff(multiply_type, type, ( % 0.22/0.40 multiply: ( $i * $i ) > $i)). % 0.22/0.40 tff(sum_type, type, ( % 0.22/0.40 sum: ( $i * $i * $i ) > $o)). % 0.22/0.40 tff(product_type, type, ( % 0.22/0.40 product: ( $i * $i * $i ) > $o)). % 0.22/0.40 tff(inverse_type, type, ( % 0.22/0.40 inverse: $i > $i)). % 0.22/0.40 tff(formula1, axiom, % 0.22/0.40 x__plus_y_plus_z = $i!val!4). % 0.22/0.40 tff(formula2, axiom, % 0.22/0.40 additive_identity = $i!val!0). % 0.22/0.40 tff(formula3, axiom, % 0.22/0.40 multiplicative_identity = $i!val!0). % 0.22/0.40 tff(formula4, axiom, % 0.22/0.40 y = $i!val!0). % 0.22/0.40 tff(formula5, axiom, % 0.22/0.40 x_plus_y = $i!val!5). % 0.22/0.40 tff(formula6, axiom, % 0.22/0.40 z = $i!val!1). % 0.22/0.40 tff(formula7, axiom, % 0.22/0.40 y_plus_z = $i!val!2). % 0.22/0.40 tff(formula8, axiom, % 0.22/0.40 x_plus_y__plus_z = $i!val!6). % 0.22/0.40 tff(formula9, axiom, % 0.22/0.40 x = $i!val!3). % 0.22/0.40 tff(formula10, axiom, % 0.22/0.40 ![X0: $i, X1: $i] : (add(X0, X1) = $i!val!0)). % 0.22/0.40 tff(formula11, axiom, % 0.22/0.40 ![X0: $i, X1: $i] : (multiply(X0, X1) = $i!val!0)). % 0.22/0.40 tff(formula12, axiom, % 0.22/0.40 ![X0: $i, X1: $i, X2: $i] : (sum(X0, X1, X2) <=> $true)). % 0.22/0.40 tff(formula13, axiom, % 0.22/0.40 ![X0: $i, X1: $i, X2: $i] : (product(X0, X1, X2) <=> $true)). % 0.22/0.40 tff(formula14, axiom, % 0.22/0.40 ![X0: $i] : (inverse(X0) = $i!val!0)). % 0.22/0.40 % SZS output end Model % 0.22/0.40 % E exiting %------------------------------------------------------------------------------