%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : SYN324+1 : TPTP v9.0.0. Released v2.0.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n011.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 05:38:45 AM UTC 2025 % Result : CounterSatisfiable 0.20s 0.40s % Output : Model 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SYN324+1 : TPTP v9.0.0. Released v2.0.0. % 0.03/0.12 % Command : run_E %s %d THM % 0.12/0.33 % Computer : n011.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 12:30:57 EDT 2025 % 0.12/0.33 % CPUTime : % 0.20/0.40 % SZS status CounterSatisfiable % 0.20/0.40 % SZS output start Model % 0.20/0.40 tff(tptp_fun__i_val_16_type, type, ( % 0.20/0.40 tptp_fun__i_val_16: $i)). % 0.20/0.40 tff(k!4_type, type, ( % 0.20/0.40 k!4: $i > $i)). % 0.20/0.40 tff(tptp_fun__i_val_7_type, type, ( % 0.20/0.40 tptp_fun__i_val_7: $i)). % 0.20/0.40 tff(tptp_fun__i_val_10_type, type, ( % 0.20/0.40 tptp_fun__i_val_10: $i)). % 0.20/0.40 tff(tptp_fun__i_val_9_type, type, ( % 0.20/0.40 tptp_fun__i_val_9: $i)). % 0.20/0.40 tff(tptp_fun__i_val_4_type, type, ( % 0.20/0.40 tptp_fun__i_val_4: $i)). % 0.20/0.40 tff(tptp_fun__i_val_20_type, type, ( % 0.20/0.40 tptp_fun__i_val_20: $i)). % 0.20/0.40 tff(tptp_fun__i_val_11_type, type, ( % 0.20/0.40 tptp_fun__i_val_11: $i)). % 0.20/0.40 tff(tptp_fun__i_val_14_type, type, ( % 0.20/0.40 tptp_fun__i_val_14: $i)). % 0.20/0.40 tff(tptp_fun__i_val_13_type, type, ( % 0.20/0.40 tptp_fun__i_val_13: $i)). % 0.20/0.40 tff(tptp_fun__i_val_8_type, type, ( % 0.20/0.40 tptp_fun__i_val_8: $i)). % 0.20/0.40 tff(tptp_fun__i_val_15_type, type, ( % 0.20/0.40 tptp_fun__i_val_15: $i)). % 0.20/0.40 tff(tptp_fun__i_val_2_type, type, ( % 0.20/0.40 tptp_fun__i_val_2: $i)). % 0.20/0.40 tff(tptp_fun__i_val_18_type, type, ( % 0.20/0.40 tptp_fun__i_val_18: $i)). % 0.20/0.40 tff(tptp_fun__i_val_1_type, type, ( % 0.20/0.40 tptp_fun__i_val_1: $i)). % 0.20/0.40 tff(tptp_fun__i_val_17_type, type, ( % 0.20/0.40 tptp_fun__i_val_17: $i)). % 0.20/0.40 tff(tptp_fun__i_val_12_type, type, ( % 0.20/0.40 tptp_fun__i_val_12: $i)). % 0.20/0.40 tff(tptp_fun__i_val_3_type, type, ( % 0.20/0.40 tptp_fun__i_val_3: $i)). % 0.20/0.40 tff(tptp_fun__i_val_19_type, type, ( % 0.20/0.40 tptp_fun__i_val_19: $i)). % 0.20/0.40 tff(tptp_fun__i_val_6_type, type, ( % 0.20/0.40 tptp_fun__i_val_6: $i)). % 0.20/0.40 tff(tptp_fun__i_val_5_type, type, ( % 0.20/0.40 tptp_fun__i_val_5: $i)). % 0.20/0.40 tff(tptp_fun__i_val_0_type, type, ( % 0.20/0.40 tptp_fun__i_val_0: $i)). % 0.20/0.40 tff(big_f_type, type, ( % 0.20/0.40 big_f: ( $i * $i ) > $o)). % 0.20/0.40 tff(formula1, axiom, % 0.20/0.40 k!4($i!val!16) = $i!val!16). % 0.20/0.40 tff(formula2, axiom, % 0.20/0.40 k!4($i!val!7) = $i!val!7). % 0.20/0.40 tff(formula3, axiom, % 0.20/0.40 k!4($i!val!10) = $i!val!10). % 0.20/0.40 tff(formula4, axiom, % 0.20/0.40 k!4($i!val!9) = $i!val!9). % 0.20/0.40 tff(formula5, axiom, % 0.20/0.40 k!4($i!val!4) = $i!val!4). % 0.20/0.40 tff(formula6, axiom, % 0.20/0.40 k!4($i!val!20) = $i!val!20). % 0.20/0.40 tff(formula7, axiom, % 0.20/0.40 k!4($i!val!11) = $i!val!11). % 0.20/0.40 tff(formula8, axiom, % 0.20/0.40 k!4($i!val!14) = $i!val!14). % 0.20/0.40 tff(formula9, axiom, % 0.20/0.40 k!4($i!val!13) = $i!val!13). % 0.20/0.40 tff(formula10, axiom, % 0.20/0.40 k!4($i!val!8) = $i!val!8). % 0.20/0.40 tff(formula11, axiom, % 0.20/0.40 k!4($i!val!15) = $i!val!15). % 0.20/0.40 tff(formula12, axiom, % 0.20/0.40 k!4($i!val!2) = $i!val!2). % 0.20/0.40 tff(formula13, axiom, % 0.20/0.40 k!4($i!val!18) = $i!val!18). % 0.20/0.40 tff(formula14, axiom, % 0.20/0.40 k!4($i!val!1) = $i!val!1). % 0.20/0.40 tff(formula15, axiom, % 0.20/0.40 k!4($i!val!17) = $i!val!17). % 0.20/0.40 tff(formula16, axiom, % 0.20/0.40 k!4($i!val!12) = $i!val!12). % 0.20/0.40 tff(formula17, axiom, % 0.20/0.40 k!4($i!val!3) = $i!val!3). % 0.20/0.40 tff(formula18, axiom, % 0.20/0.40 k!4($i!val!19) = $i!val!19). % 0.20/0.40 tff(formula19, axiom, % 0.20/0.40 k!4($i!val!6) = $i!val!6). % 0.20/0.40 tff(formula20, axiom, % 0.20/0.40 k!4($i!val!5) = $i!val!5). % 0.20/0.40 tff(formula21, axiom, % 0.20/0.40 ![X0: $i] : ((~((($i!val!16 = X0)) | (($i!val!7 = X0)) | (($i!val!10 = X0)) | (($i!val!9 = X0)) | (($i!val!4 = X0)) | (($i!val!20 = X0)) | (($i!val!11 = X0)) | (($i!val!14 = X0)) | (($i!val!13 = X0)) | (($i!val!8 = X0)) | (($i!val!15 = X0)) | (($i!val!2 = X0)) | (($i!val!18 = X0)) | (($i!val!1 = X0)) | (($i!val!17 = X0)) | (($i!val!12 = X0)) | (($i!val!3 = X0)) | (($i!val!19 = X0)) | (($i!val!6 = X0)) | (($i!val!5 = X0)))) => (k!4(X0) = $i!val!0))). % 0.20/0.40 tff(formula22, axiom, % 0.20/0.40 ![X0: $i, X1: $i] : (big_f(X0, X1) <=> ((~((k!4(X1) = $i!val!19) & (k!4(X0) = $i!val!20))) & (~((k!4(X1) = $i!val!19) & (k!4(X0) = $i!val!19))) & (~((k!4(X1) = $i!val!17) & (k!4(X0) = $i!val!18))) & (~((k!4(X1) = $i!val!17) & (k!4(X0) = $i!val!17))) & (~((k!4(X1) = $i!val!15) & (k!4(X0) = $i!val!16))) & (~((k!4(X1) = $i!val!15) & (k!4(X0) = $i!val!15))) & (~((k!4(X1) = $i!val!13) & (k!4(X0) = $i!val!14))) & (~((k!4(X1) = $i!val!13) & (k!4(X0) = $i!val!13))) & (~((k!4(X1) = $i!val!11) & (k!4(X0) = $i!val!12))) & (~((k!4(X1) = $i!val!11) & (k!4(X0) = $i!val!11))) & (~((k!4(X1) = $i!val!9) & (k!4(X0) = $i!val!10))) & (~((k!4(X1) = $i!val!9) & (k!4(X0) = $i!val!9))) & (~((k!4(X1) = $i!val!7) & (k!4(X0) = $i!val!8))) & (~((k!4(X1) = $i!val!7) & (k!4(X0) = $i!val!7))) & (~((k!4(X1) = $i!val!5) & (k!4(X0) = $i!val!6))) & (~((k!4(X1) = $i!val!5) & (k!4(X0) = $i!val!5))) & (~((k!4(X1) = $i!val!3) & (k!4(X0) = $i!val!4))) & (~((k!4(X1) = $i!val!3) & (k!4(X0) = $i!val!3))) & (~((k!4(X1) = $i!val!1) & (k!4(X0) = $i!val!2))) & (~((k!4(X1) = $i!val!1) & (k!4(X0) = $i!val!1)))))). % 0.20/0.40 % SZS output end Model % 0.20/0.40 % E exiting %------------------------------------------------------------------------------