%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : SYN757-1 : TPTP v9.0.0. Released v2.5.0. % 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 05:39:59 AM UTC 2025 % Result : Satisfiable 1.65s 1.85s % Output : Model 1.65s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SYN757-1 : TPTP v9.0.0. Released v2.5.0. % 0.11/0.12 % 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 : Fri Jun 20 12:43:18 EDT 2025 % 0.12/0.34 % CPUTime : % 1.65/1.85 % SZS status Satisfiable % 1.65/1.85 % SZS output start Model % 1.65/1.85 tff(ssPv1_type, type, ( % 1.65/1.85 ssPv1: $i > $o)). % 1.65/1.85 tff(ssPv4_type, type, ( % 1.65/1.85 ssPv4: $i > $o)). % 1.65/1.85 tff(tptp_fun__i_val_0_type, type, ( % 1.65/1.85 tptp_fun__i_val_0: $i)). % 1.65/1.85 tff(k!2759_type, type, ( % 1.65/1.85 k!2759: $i > $i)). % 1.65/1.85 tff(tptp_fun__i_val_3_type, type, ( % 1.65/1.85 tptp_fun__i_val_3: $i)). % 1.65/1.85 tff(tptp_fun__i_val_1_type, type, ( % 1.65/1.85 tptp_fun__i_val_1: $i)). % 1.65/1.85 tff(tptp_fun__i_val_5_type, type, ( % 1.65/1.85 tptp_fun__i_val_5: $i)). % 1.65/1.85 tff(ssRr_type, type, ( % 1.65/1.85 ssRr: ( $i * $i ) > $o)). % 1.65/1.85 tff(ssPv2_type, type, ( % 1.65/1.85 ssPv2: $i > $o)). % 1.65/1.85 tff(ssPv3_type, type, ( % 1.65/1.85 ssPv3: $i > $o)). % 1.65/1.85 tff(tptp_fun__i_val_2_type, type, ( % 1.65/1.85 tptp_fun__i_val_2: $i)). % 1.65/1.85 tff(tptp_fun__i_val_4_type, type, ( % 1.65/1.85 tptp_fun__i_val_4: $i)). % 1.65/1.85 tff(tptp_fun__i_val_6_type, type, ( % 1.65/1.85 tptp_fun__i_val_6: $i)). % 1.65/1.85 tff(tptp_fun__i_val_7_type, type, ( % 1.65/1.85 tptp_fun__i_val_7: $i)). % 1.65/1.85 tff(tptp_fun__i_val_8_type, type, ( % 1.65/1.85 tptp_fun__i_val_8: $i)). % 1.65/1.85 tff(tptp_fun__i_val_9_type, type, ( % 1.65/1.85 tptp_fun__i_val_9: $i)). % 1.65/1.85 tff(tptp_fun__i_val_10_type, type, ( % 1.65/1.85 tptp_fun__i_val_10: $i)). % 1.65/1.85 tff(tptp_fun__i_val_11_type, type, ( % 1.65/1.85 tptp_fun__i_val_11: $i)). % 1.65/1.85 tff(tptp_fun__i_val_12_type, type, ( % 1.65/1.85 tptp_fun__i_val_12: $i)). % 1.65/1.85 tff(tptp_fun__i_val_13_type, type, ( % 1.65/1.85 tptp_fun__i_val_13: $i)). % 1.65/1.85 tff(tptp_fun__i_val_14_type, type, ( % 1.65/1.85 tptp_fun__i_val_14: $i)). % 1.65/1.85 tff(skf1_type, type, ( % 1.65/1.85 skf1: $i > $i)). % 1.65/1.85 tff(formula1, axiom, % 1.65/1.85 ![X0: $i] : (ssPv1(X0) <=> $true)). % 1.65/1.85 tff(formula2, axiom, % 1.65/1.85 ![X0: $i] : (ssPv4(X0) <=> $true)). % 1.65/1.85 tff(formula3, axiom, % 1.65/1.85 ![X0: $i, X1: $i] : (ssRr(X0, X1) <=> ((~((k!2759(X1) = $i!val!5) & (k!2759(X0) = $i!val!1))) & (~((k!2759(X1) = $i!val!3) & (k!2759(X0) = $i!val!0))) & (~((k!2759(X1) = $i!val!0) & (k!2759(X0) = $i!val!0)))))). % 1.65/1.85 tff(formula4, axiom, % 1.65/1.85 ![X0: $i] : (ssPv2(X0) <=> $true)). % 1.65/1.85 tff(formula5, axiom, % 1.65/1.85 ![X0: $i] : (ssPv3(X0) <=> $false)). % 1.65/1.85 tff(formula6, axiom, % 1.65/1.85 ![X0: $i] : (skf1(X0) = ite_t((k!2759(X0) = $i!val!13), $i!val!14, ite_t((k!2759(X0) = $i!val!12), $i!val!13, ite_t((k!2759(X0) = $i!val!11), $i!val!12, ite_t((k!2759(X0) = $i!val!10), $i!val!11, ite_t((k!2759(X0) = $i!val!9), $i!val!10, ite_t((k!2759(X0) = $i!val!8), $i!val!9, ite_t((k!2759(X0) = $i!val!7), $i!val!8, ite_t((k!2759(X0) = $i!val!6), $i!val!7, ite_t((k!2759(X0) = $i!val!5), $i!val!6, ite_t((k!2759(X0) = $i!val!4), $i!val!5, ite_t((k!2759(X0) = $i!val!3), $i!val!4, ite_t((k!2759(X0) = $i!val!2), $i!val!3, ite_t((k!2759(X0) = $i!val!1), $i!val!2, $i!val!1))))))))))))))). % 1.65/1.85 tff(formula7, axiom, % 1.65/1.85 k!2759($i!val!12) = $i!val!12). % 1.65/1.85 tff(formula8, axiom, % 1.65/1.85 k!2759($i!val!1) = $i!val!1). % 1.65/1.85 tff(formula9, axiom, % 1.65/1.85 k!2759($i!val!2) = $i!val!2). % 1.65/1.85 tff(formula10, axiom, % 1.65/1.85 k!2759($i!val!8) = $i!val!8). % 1.65/1.85 tff(formula11, axiom, % 1.65/1.85 k!2759($i!val!13) = $i!val!13). % 1.65/1.85 tff(formula12, axiom, % 1.65/1.85 k!2759($i!val!14) = $i!val!14). % 1.65/1.85 tff(formula13, axiom, % 1.65/1.85 k!2759($i!val!11) = $i!val!11). % 1.65/1.85 tff(formula14, axiom, % 1.65/1.85 k!2759($i!val!4) = $i!val!4). % 1.65/1.85 tff(formula15, axiom, % 1.65/1.85 k!2759($i!val!9) = $i!val!9). % 1.65/1.85 tff(formula16, axiom, % 1.65/1.85 k!2759($i!val!10) = $i!val!10). % 1.65/1.85 tff(formula17, axiom, % 1.65/1.85 k!2759($i!val!7) = $i!val!7). % 1.65/1.85 tff(formula18, axiom, % 1.65/1.85 k!2759($i!val!0) = $i!val!0). % 1.65/1.85 tff(formula19, axiom, % 1.65/1.85 k!2759($i!val!5) = $i!val!5). % 1.65/1.85 tff(formula20, axiom, % 1.65/1.85 k!2759($i!val!6) = $i!val!6). % 1.65/1.85 tff(formula21, axiom, % 1.65/1.85 ![X0: $i] : ((~((($i!val!12 = X0)) | (($i!val!1 = X0)) | (($i!val!2 = X0)) | (($i!val!8 = X0)) | (($i!val!13 = X0)) | (($i!val!14 = X0)) | (($i!val!11 = X0)) | (($i!val!4 = X0)) | (($i!val!9 = X0)) | (($i!val!10 = X0)) | (($i!val!7 = X0)) | (($i!val!0 = X0)) | (($i!val!5 = X0)) | (($i!val!6 = X0)))) => (k!2759(X0) = $i!val!3))). % 1.65/1.85 % SZS output end Model % 1.65/1.85 % E exiting %------------------------------------------------------------------------------