%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : SYN324-1 : TPTP v9.0.0. Released v1.2.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n005.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 05:38:46 AM UTC 2025 % Result : Satisfiable 0.20s 0.41s % Output : Model 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.12 % Problem : SYN324-1 : TPTP v9.0.0. Released v1.2.0. % 0.04/0.12 % Command : run_E %s %d THM % 0.11/0.33 % Computer : n005.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 12:30:35 EDT 2025 % 0.11/0.33 % CPUTime : % 0.20/0.41 % SZS status Satisfiable % 0.20/0.41 % SZS output start Model % 0.20/0.41 tff(tptp_fun__i_val_1_type, type, ( % 0.20/0.41 tptp_fun__i_val_1: $i)). % 0.20/0.41 tff(tptp_fun__i_val_2_type, type, ( % 0.20/0.41 tptp_fun__i_val_2: $i)). % 0.20/0.41 tff(k!13_type, type, ( % 0.20/0.41 k!13: $i > $i)). % 0.20/0.41 tff(tptp_fun__i_val_3_type, type, ( % 0.20/0.41 tptp_fun__i_val_3: $i)). % 0.20/0.41 tff(tptp_fun__i_val_4_type, type, ( % 0.20/0.41 tptp_fun__i_val_4: $i)). % 0.20/0.41 tff(tptp_fun__i_val_5_type, type, ( % 0.20/0.41 tptp_fun__i_val_5: $i)). % 0.20/0.41 tff(tptp_fun__i_val_6_type, type, ( % 0.20/0.41 tptp_fun__i_val_6: $i)). % 0.20/0.41 tff(tptp_fun__i_val_7_type, type, ( % 0.20/0.41 tptp_fun__i_val_7: $i)). % 0.20/0.41 tff(tptp_fun__i_val_8_type, type, ( % 0.20/0.41 tptp_fun__i_val_8: $i)). % 0.20/0.41 tff(tptp_fun__i_val_9_type, type, ( % 0.20/0.41 tptp_fun__i_val_9: $i)). % 0.20/0.41 tff(tptp_fun__i_val_10_type, type, ( % 0.20/0.41 tptp_fun__i_val_10: $i)). % 0.20/0.41 tff(tptp_fun__i_val_11_type, type, ( % 0.20/0.41 tptp_fun__i_val_11: $i)). % 0.20/0.41 tff(tptp_fun__i_val_12_type, type, ( % 0.20/0.41 tptp_fun__i_val_12: $i)). % 0.20/0.41 tff(y_type, type, ( % 0.20/0.41 y: $i > $i)). % 0.20/0.41 tff(tptp_fun__i_val_0_type, type, ( % 0.20/0.41 tptp_fun__i_val_0: $i)). % 0.20/0.41 tff(f_type, type, ( % 0.20/0.41 f: ( $i * $i ) > $o)). % 0.20/0.41 tff(formula1, axiom, % 0.20/0.41 ![X0: $i] : (y(X0) = ite_t((k!13(X0) = $i!val!11), $i!val!12, ite_t((k!13(X0) = $i!val!10), $i!val!11, ite_t((k!13(X0) = $i!val!9), $i!val!10, ite_t((k!13(X0) = $i!val!8), $i!val!9, ite_t((k!13(X0) = $i!val!7), $i!val!8, ite_t((k!13(X0) = $i!val!6), $i!val!7, ite_t((k!13(X0) = $i!val!5), $i!val!6, ite_t((k!13(X0) = $i!val!4), $i!val!5, ite_t((k!13(X0) = $i!val!3), $i!val!4, ite_t((k!13(X0) = $i!val!2), $i!val!3, ite_t((k!13(X0) = $i!val!1), $i!val!2, $i!val!1))))))))))))). % 0.20/0.41 tff(formula2, axiom, % 0.20/0.41 k!13($i!val!4) = $i!val!4). % 0.20/0.41 tff(formula3, axiom, % 0.20/0.41 k!13($i!val!12) = $i!val!12). % 0.20/0.41 tff(formula4, axiom, % 0.20/0.41 k!13($i!val!5) = $i!val!5). % 0.20/0.41 tff(formula5, axiom, % 0.20/0.41 k!13($i!val!2) = $i!val!2). % 0.20/0.41 tff(formula6, axiom, % 0.20/0.41 k!13($i!val!10) = $i!val!10). % 0.20/0.41 tff(formula7, axiom, % 0.20/0.41 k!13($i!val!11) = $i!val!11). % 0.20/0.41 tff(formula8, axiom, % 0.20/0.41 k!13($i!val!3) = $i!val!3). % 0.20/0.41 tff(formula9, axiom, % 0.20/0.41 k!13($i!val!0) = $i!val!0). % 0.20/0.41 tff(formula10, axiom, % 0.20/0.41 k!13($i!val!8) = $i!val!8). % 0.20/0.41 tff(formula11, axiom, % 0.20/0.41 k!13($i!val!1) = $i!val!1). % 0.20/0.41 tff(formula12, axiom, % 0.20/0.41 k!13($i!val!9) = $i!val!9). % 0.20/0.41 tff(formula13, axiom, % 0.20/0.41 k!13($i!val!6) = $i!val!6). % 0.20/0.41 tff(formula14, axiom, % 0.20/0.41 ![X0: $i] : ((~((($i!val!4 = X0)) | (($i!val!12 = X0)) | (($i!val!5 = X0)) | (($i!val!2 = X0)) | (($i!val!10 = X0)) | (($i!val!11 = X0)) | (($i!val!3 = X0)) | (($i!val!0 = X0)) | (($i!val!8 = X0)) | (($i!val!1 = X0)) | (($i!val!9 = X0)) | (($i!val!6 = X0)))) => (k!13(X0) = $i!val!7))). % 0.20/0.41 tff(formula15, axiom, % 0.20/0.41 ![X0: $i, X1: $i] : (f(X0, X1) <=> (((k!13(X1) = $i!val!3) & (k!13(X0) = $i!val!4)) | ((k!13(X1) = $i!val!9) & (k!13(X0) = $i!val!10)) | ((k!13(X1) = $i!val!11) & (k!13(X0) = $i!val!12)) | ((k!13(X1) = $i!val!5) & (k!13(X0) = $i!val!5)) | ((k!13(X1) = $i!val!5) & (k!13(X0) = $i!val!6)) | ((k!13(X1) = $i!val!7) & (k!13(X0) = $i!val!7)) | ((k!13(X1) = $i!val!7) & (k!13(X0) = $i!val!8)) | ((k!13(X1) = $i!val!9) & (k!13(X0) = $i!val!9)) | ((k!13(X1) = $i!val!11) & (k!13(X0) = $i!val!11)) | ((k!13(X1) = $i!val!1) & (k!13(X0) = $i!val!2)) | ((k!13(X1) = $i!val!1) & (k!13(X0) = $i!val!1)) | ((k!13(X1) = $i!val!3) & (k!13(X0) = $i!val!3))))). % 0.20/0.41 % SZS output end Model % 0.20/0.41 % E exiting %------------------------------------------------------------------------------