%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : HWC004-2 : TPTP v9.0.0. Released v2.5.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n012.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 05:08:51 AM UTC 2025 % Result : Satisfiable 0.19s 0.36s % Output : Model 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : HWC004-2 : TPTP v9.0.0. Released v2.5.0. % 0.00/0.12 % Command : run_E %s %d THM % 0.12/0.33 % Computer : n012.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 17:16:41 EDT 2025 % 0.12/0.33 % CPUTime : % 0.19/0.36 % SZS status Satisfiable % 0.19/0.36 % SZS output start Model % 0.19/0.36 tff(tptp_fun__i_val_0_type, type, ( % 0.19/0.36 tptp_fun__i_val_0: $i)). % 0.19/0.36 tff(n0_type, type, ( % 0.19/0.36 n0: $i)). % 0.19/0.36 tff(tptp_fun__i_val_1_type, type, ( % 0.19/0.36 tptp_fun__i_val_1: $i)). % 0.19/0.36 tff(n1_type, type, ( % 0.19/0.36 n1: $i)). % 0.19/0.36 tff(not_type, type, ( % 0.19/0.36 not: $i > $i)). % 0.19/0.36 tff(and_type, type, ( % 0.19/0.36 and: ( $i * $i ) > $i)). % 0.19/0.36 tff(or_type, type, ( % 0.19/0.36 or: ( $i * $i ) > $i)). % 0.19/0.36 tff(formula1, axiom, % 0.19/0.36 n0 = $i!val!0). % 0.19/0.36 tff(formula2, axiom, % 0.19/0.36 n1 = $i!val!1). % 0.19/0.36 tff(formula3, axiom, % 0.19/0.36 not($i!val!1) = $i!val!0). % 0.19/0.36 tff(formula4, axiom, % 0.19/0.36 ![X0: $i] : ((~(($i!val!1 = X0))) => (not(X0) = $i!val!1))). % 0.19/0.36 tff(formula5, axiom, % 0.19/0.36 ![X0: $i, X1: $i] : (and(X0, X1) = ite_t((X0 = $i!val!1), X1, $i!val!0))). % 0.19/0.36 tff(formula6, axiom, % 0.19/0.36 ![X0: $i, X1: $i] : (or(X0, X1) = ite_t((X0 = $i!val!1), $i!val!1, X1))). % 0.19/0.36 % SZS output end Model % 0.19/0.36 % E exiting %------------------------------------------------------------------------------