%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : SYN306-1 : TPTP v9.0.0. Released v1.2.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n001.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 05:38:42 AM UTC 2025 % Result : Satisfiable 0.11s 0.37s % Output : Model 0.11s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : SYN306-1 : TPTP v9.0.0. Released v1.2.0. % 0.06/0.12 % Command : run_E %s %d THM % 0.11/0.33 % Computer : n001.cluster.edu % 0.11/0.33 % Model : x86_64 x86_64 % 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.33 % Memory : 8042.1875MB % 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.33 % CPULimit : 300 % 0.11/0.33 % WCLimit : 300 % 0.11/0.33 % DateTime : Fri Jun 20 12:34:35 EDT 2025 % 0.11/0.33 % CPUTime : % 0.11/0.37 % SZS status Satisfiable % 0.11/0.37 % SZS output start Model % 0.11/0.37 tff(tptp_fun__i_val_1_type, type, ( % 0.11/0.37 tptp_fun__i_val_1: $i)). % 0.11/0.37 tff(b_type, type, ( % 0.11/0.37 b: $i)). % 0.11/0.37 tff(tptp_fun__i_val_0_type, type, ( % 0.11/0.37 tptp_fun__i_val_0: $i)). % 0.11/0.37 tff(a_type, type, ( % 0.11/0.37 a: $i)). % 0.11/0.37 tff(p_type, type, ( % 0.11/0.37 p: $i > $o)). % 0.11/0.37 tff(tptp_fun__i_val_5_type, type, ( % 0.11/0.37 tptp_fun__i_val_5: $i)). % 0.11/0.37 tff(r_type, type, ( % 0.11/0.37 r: ( $i * $i ) > $o)). % 0.11/0.37 tff(q_type, type, ( % 0.11/0.37 q: $i > $o)). % 0.11/0.37 tff(tptp_fun__i_val_2_type, type, ( % 0.11/0.37 tptp_fun__i_val_2: $i)). % 0.11/0.37 tff(f_type, type, ( % 0.11/0.37 f: $i > $i)). % 0.11/0.37 tff(tptp_fun__i_val_6_type, type, ( % 0.11/0.37 tptp_fun__i_val_6: $i)). % 0.11/0.37 tff(g_type, type, ( % 0.11/0.37 g: ( $i * $i ) > $i)). % 0.11/0.37 tff(tptp_fun__i_val_3_type, type, ( % 0.11/0.37 tptp_fun__i_val_3: $i)). % 0.11/0.37 tff(tptp_fun__i_val_4_type, type, ( % 0.11/0.37 tptp_fun__i_val_4: $i)). % 0.11/0.37 tff(formula1, axiom, % 0.11/0.37 b = $i!val!1). % 0.11/0.37 tff(formula2, axiom, % 0.11/0.37 a = $i!val!0). % 0.11/0.37 tff(formula3, axiom, % 0.11/0.37 ![X0: $i] : (p(X0) <=> $false)). % 0.11/0.37 tff(formula4, axiom, % 0.11/0.37 ![X0: $i, X1: $i] : (r(X0, X1) <=> (~((X1 = $i!val!0) & (~(X1 = $i!val!5)) & (X0 = $i!val!0))))). % 0.11/0.37 tff(formula5, axiom, % 0.11/0.37 ![X0: $i] : (q(X0) <=> (~(X0 = $i!val!0)))). % 0.11/0.37 tff(formula6, axiom, % 0.11/0.37 ![X0: $i] : (f(X0) = ite_t(((X0 = $i!val!0) & (~(X0 = $i!val!5))), $i!val!5, $i!val!2))). % 0.11/0.37 tff(formula7, axiom, % 0.11/0.37 g($i!val!5, $i!val!5) = $i!val!6). % 0.11/0.37 tff(formula8, axiom, % 0.11/0.37 ![X0: $i, X1: $i] : ((~(($i!val!5 = X0) & ($i!val!5 = X1))) => (g(X0, X1) = ite_t(((~(X1 = $i!val!1)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!5)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!5))), $i!val!4, $i!val!3)))). % 0.11/0.37 % SZS output end Model % 0.11/0.37 % E exiting %------------------------------------------------------------------------------