%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : PUZ080+2 : TPTP v9.0.0. Bugfixed v5.4.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n009.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 05:23:24 AM UTC 2025 % Result : Satisfiable 0.85s 1.05s % Output : Model 1.17s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.11 % Problem : PUZ080+2 : TPTP v9.0.0. Bugfixed v5.4.0. % 0.07/0.11 % Command : run_E %s %d THM % 0.12/0.32 % Computer : n009.cluster.edu % 0.12/0.32 % Model : x86_64 x86_64 % 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.32 % Memory : 8042.1875MB % 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.32 % CPULimit : 300 % 0.12/0.32 % WCLimit : 300 % 0.12/0.32 % DateTime : Fri Jun 20 02:46:18 EDT 2025 % 0.12/0.32 % CPUTime : % 0.85/1.05 % SZS status Satisfiable % 0.85/1.05 % SZS output start Model % 0.85/1.05 tff(tptp_fun__i_val_2_type, type, ( % 0.85/1.05 tptp_fun__i_val_2: $i)). % 0.85/1.05 tff(n3_type, type, ( % 0.85/1.05 n3: $i)). % 0.85/1.05 tff(tptp_fun__i_val_3_type, type, ( % 0.85/1.05 tptp_fun__i_val_3: $i)). % 0.85/1.05 tff(n4_type, type, ( % 0.85/1.05 n4: $i)). % 0.85/1.05 tff(tptp_fun__i_val_0_type, type, ( % 0.85/1.05 tptp_fun__i_val_0: $i)). % 0.85/1.05 tff(n1_type, type, ( % 0.85/1.05 n1: $i)). % 0.85/1.05 tff(tptp_fun__i_val_1_type, type, ( % 0.85/1.05 tptp_fun__i_val_1: $i)). % 0.85/1.05 tff(n2_type, type, ( % 0.85/1.05 n2: $i)). % 0.85/1.05 tff(tptp_fun__i_val_8_type, type, ( % 0.85/1.05 tptp_fun__i_val_8: $i)). % 0.85/1.05 tff(n9_type, type, ( % 0.85/1.05 n9: $i)). % 0.85/1.05 tff(tptp_fun__i_val_4_type, type, ( % 0.85/1.05 tptp_fun__i_val_4: $i)). % 0.85/1.05 tff(n5_type, type, ( % 0.85/1.05 n5: $i)). % 0.85/1.05 tff(tptp_fun__i_val_7_type, type, ( % 0.85/1.05 tptp_fun__i_val_7: $i)). % 0.85/1.05 tff(n8_type, type, ( % 0.85/1.05 n8: $i)). % 0.85/1.05 tff(tptp_fun__i_val_5_type, type, ( % 0.85/1.05 tptp_fun__i_val_5: $i)). % 0.85/1.05 tff(n6_type, type, ( % 0.85/1.05 n6: $i)). % 0.85/1.05 tff(tptp_fun__i_val_6_type, type, ( % 0.85/1.05 tptp_fun__i_val_6: $i)). % 0.85/1.05 tff(n7_type, type, ( % 0.85/1.05 n7: $i)). % 0.85/1.05 tff(p_type, type, ( % 0.85/1.05 p: ( $i * $i * $i ) > $o)). % 0.85/1.05 tff(formula1, axiom, % 0.85/1.05 n3 = $i!val!2). % 0.85/1.05 tff(formula2, axiom, % 0.85/1.05 n4 = $i!val!3). % 0.85/1.05 tff(formula3, axiom, % 0.85/1.05 n1 = $i!val!0). % 0.85/1.05 tff(formula4, axiom, % 0.85/1.05 n2 = $i!val!1). % 0.85/1.05 tff(formula5, axiom, % 0.85/1.05 n9 = $i!val!8). % 0.85/1.05 tff(formula6, axiom, % 0.85/1.05 n5 = $i!val!4). % 0.85/1.05 tff(formula7, axiom, % 0.85/1.05 n8 = $i!val!7). % 0.85/1.05 tff(formula8, axiom, % 0.85/1.05 n6 = $i!val!5). % 0.85/1.05 tff(formula9, axiom, % 0.85/1.05 n7 = $i!val!6). % 0.85/1.05 tff(formula10, axiom, % 0.85/1.05 p($i!val!0, $i!val!1, $i!val!4) <=> $true). % 0.85/1.05 tff(formula11, axiom, % 0.85/1.05 p($i!val!0, $i!val!0, $i!val!5) <=> $true). % 0.85/1.05 tff(formula12, axiom, % 0.85/1.05 p($i!val!0, $i!val!2, $i!val!3) <=> $true). % 0.85/1.05 tff(formula13, axiom, % 0.85/1.05 p($i!val!0, $i!val!3, $i!val!2) <=> $true). % 0.85/1.05 tff(formula14, axiom, % 0.85/1.05 p($i!val!0, $i!val!4, $i!val!7) <=> $true). % 0.85/1.05 tff(formula15, axiom, % 0.85/1.05 p($i!val!0, $i!val!5, $i!val!0) <=> $true). % 0.85/1.05 tff(formula16, axiom, % 0.85/1.05 p($i!val!0, $i!val!6, $i!val!1) <=> $true). % 0.85/1.05 tff(formula17, axiom, % 0.85/1.05 p($i!val!0, $i!val!7, $i!val!6) <=> $true). % 0.85/1.05 tff(formula18, axiom, % 0.85/1.05 p($i!val!0, $i!val!8, $i!val!8) <=> $true). % 0.85/1.05 tff(formula19, axiom, % 0.85/1.05 p($i!val!1, $i!val!1, $i!val!6) <=> $true). % 0.85/1.05 tff(formula20, axiom, % 0.85/1.05 p($i!val!1, $i!val!0, $i!val!7) <=> $true). % 0.85/1.05 tff(formula21, axiom, % 0.85/1.05 p($i!val!1, $i!val!2, $i!val!2) <=> $true). % 0.85/1.05 tff(formula22, axiom, % 0.85/1.05 p($i!val!1, $i!val!3, $i!val!1) <=> $true). % 0.85/1.05 tff(formula23, axiom, % 0.85/1.05 p($i!val!1, $i!val!4, $i!val!8) <=> $true). % 0.85/1.05 tff(formula24, axiom, % 0.85/1.05 p($i!val!1, $i!val!5, $i!val!3) <=> $true). % 0.85/1.05 tff(formula25, axiom, % 0.85/1.05 p($i!val!1, $i!val!6, $i!val!4) <=> $true). % 0.85/1.05 tff(formula26, axiom, % 0.85/1.05 p($i!val!1, $i!val!7, $i!val!5) <=> $true). % 0.85/1.05 tff(formula27, axiom, % 0.85/1.05 p($i!val!1, $i!val!8, $i!val!0) <=> $true). % 0.85/1.05 tff(formula28, axiom, % 0.85/1.05 p($i!val!2, $i!val!1, $i!val!0) <=> $true). % 0.85/1.05 tff(formula29, axiom, % 0.85/1.05 p($i!val!2, $i!val!0, $i!val!8) <=> $true). % 0.85/1.05 tff(formula30, axiom, % 0.85/1.05 p($i!val!2, $i!val!2, $i!val!1) <=> $true). % 0.85/1.05 tff(formula31, axiom, % 0.85/1.05 p($i!val!2, $i!val!3, $i!val!5) <=> $true). % 0.85/1.05 tff(formula32, axiom, % 0.85/1.05 p($i!val!2, $i!val!4, $i!val!6) <=> $true). % 0.85/1.05 tff(formula33, axiom, % 0.85/1.05 p($i!val!2, $i!val!5, $i!val!4) <=> $true). % 0.85/1.05 tff(formula34, axiom, % 0.85/1.05 p($i!val!2, $i!val!6, $i!val!7) <=> $true). % 0.85/1.05 tff(formula35, axiom, % 0.85/1.05 p($i!val!2, $i!val!7, $i!val!2) <=> $true). % 0.85/1.05 tff(formula36, axiom, % 0.85/1.05 p($i!val!2, $i!val!8, $i!val!3) <=> $true). % 0.85/1.05 tff(formula37, axiom, % 0.85/1.05 p($i!val!3, $i!val!1, $i!val!2) <=> $true). % 0.85/1.05 tff(formula38, axiom, % 0.85/1.05 p($i!val!3, $i!val!0, $i!val!3) <=> $true). % 0.85/1.05 tff(formula39, axiom, % 0.85/1.05 p($i!val!3, $i!val!2, $i!val!8) <=> $true). % 0.85/1.05 tff(formula40, axiom, % 0.85/1.05 p($i!val!3, $i!val!3, $i!val!7) <=> $true). % 0.85/1.05 tff(formula41, axiom, % 0.85/1.05 p($i!val!3, $i!val!4, $i!val!4) <=> $true). % 0.85/1.05 tff(formula42, axiom, % 0.85/1.05 p($i!val!3, $i!val!5, $i!val!5) <=> $true). % 0.85/1.05 tff(formula43, axiom, % 0.85/1.05 p($i!val!3, $i!val!6, $i!val!6) <=> $true). % 0.85/1.05 tff(formula44, axiom, % 0.85/1.05 p($i!val!3, $i!val!7, $i!val!0) <=> $true). % 0.85/1.05 tff(formula45, axiom, % 0.85/1.05 p($i!val!3, $i!val!8, $i!val!1) <=> $true). % 0.85/1.05 tff(formula46, axiom, % 0.85/1.05 p($i!val!4, $i!val!0, $i!val!0) <=> $true). % 0.85/1.05 tff(formula47, axiom, % 0.85/1.05 p($i!val!4, $i!val!1, $i!val!7) <=> $true). % 0.85/1.05 tff(formula48, axiom, % 0.85/1.05 p($i!val!4, $i!val!2, $i!val!4) <=> $true). % 0.85/1.05 tff(formula49, axiom, % 0.85/1.05 p($i!val!4, $i!val!3, $i!val!3) <=> $true). % 0.85/1.05 tff(formula50, axiom, % 0.85/1.05 p($i!val!4, $i!val!4, $i!val!1) <=> $true). % 0.85/1.05 tff(formula51, axiom, % 0.85/1.05 p($i!val!4, $i!val!5, $i!val!6) <=> $true). % 0.85/1.05 tff(formula52, axiom, % 0.85/1.05 p($i!val!4, $i!val!6, $i!val!5) <=> $true). % 0.85/1.05 tff(formula53, axiom, % 0.85/1.05 p($i!val!4, $i!val!7, $i!val!8) <=> $true). % 0.85/1.05 tff(formula54, axiom, % 0.85/1.05 p($i!val!4, $i!val!8, $i!val!2) <=> $true). % 0.85/1.05 tff(formula55, axiom, % 0.85/1.05 p($i!val!5, $i!val!0, $i!val!1) <=> $true). % 0.85/1.05 tff(formula56, axiom, % 0.85/1.05 p($i!val!5, $i!val!1, $i!val!5) <=> $true). % 0.85/1.05 tff(formula57, axiom, % 0.85/1.05 p($i!val!5, $i!val!2, $i!val!6) <=> $true). % 0.85/1.05 tff(formula58, axiom, % 0.85/1.05 p($i!val!5, $i!val!3, $i!val!8) <=> $true). % 0.85/1.05 tff(formula59, axiom, % 0.85/1.05 p($i!val!5, $i!val!4, $i!val!0) <=> $true). % 0.85/1.05 tff(formula60, axiom, % 0.85/1.05 p($i!val!5, $i!val!5, $i!val!2) <=> $true). % 0.85/1.05 tff(formula61, axiom, % 0.85/1.05 p($i!val!5, $i!val!6, $i!val!3) <=> $true). % 0.85/1.05 tff(formula62, axiom, % 0.85/1.05 p($i!val!5, $i!val!7, $i!val!7) <=> $true). % 0.85/1.05 tff(formula63, axiom, % 0.85/1.05 p($i!val!5, $i!val!8, $i!val!4) <=> $true). % 0.85/1.05 tff(formula64, axiom, % 0.85/1.05 p($i!val!6, $i!val!0, $i!val!4) <=> $true). % 0.85/1.05 tff(formula65, axiom, % 0.85/1.05 p($i!val!6, $i!val!1, $i!val!8) <=> $true). % 0.85/1.05 tff(formula66, axiom, % 0.85/1.05 p($i!val!6, $i!val!2, $i!val!5) <=> $true). % 0.85/1.05 tff(formula67, axiom, % 0.85/1.05 p($i!val!6, $i!val!3, $i!val!6) <=> $true). % 0.85/1.05 tff(formula68, axiom, % 0.85/1.05 p($i!val!6, $i!val!4, $i!val!2) <=> $true). % 0.85/1.05 tff(formula69, axiom, % 0.85/1.05 p($i!val!6, $i!val!5, $i!val!1) <=> $true). % 0.85/1.05 tff(formula70, axiom, % 0.85/1.05 p($i!val!6, $i!val!6, $i!val!0) <=> $true). % 0.85/1.05 tff(formula71, axiom, % 0.85/1.05 p($i!val!6, $i!val!7, $i!val!3) <=> $true). % 0.85/1.05 tff(formula72, axiom, % 0.85/1.05 p($i!val!6, $i!val!8, $i!val!7) <=> $true). % 0.85/1.05 tff(formula73, axiom, % 0.85/1.05 p($i!val!7, $i!val!0, $i!val!2) <=> $true). % 0.85/1.05 tff(formula74, axiom, % 0.85/1.05 p($i!val!7, $i!val!1, $i!val!3) <=> $true). % 0.85/1.05 tff(formula75, axiom, % 0.85/1.05 p($i!val!7, $i!val!2, $i!val!0) <=> $true). % 0.85/1.05 tff(formula76, axiom, % 0.85/1.05 p($i!val!7, $i!val!3, $i!val!4) <=> $true). % 0.85/1.05 tff(formula77, axiom, % 0.85/1.05 p($i!val!7, $i!val!4, $i!val!5) <=> $true). % 0.85/1.05 tff(formula78, axiom, % 0.85/1.05 p($i!val!7, $i!val!5, $i!val!7) <=> $true). % 0.85/1.05 tff(formula79, axiom, % 0.85/1.05 p($i!val!7, $i!val!6, $i!val!8) <=> $true). % 0.85/1.05 tff(formula80, axiom, % 0.85/1.05 p($i!val!7, $i!val!7, $i!val!1) <=> $true). % 0.85/1.05 tff(formula81, axiom, % 0.85/1.05 p($i!val!7, $i!val!8, $i!val!6) <=> $true). % 0.85/1.05 tff(formula82, axiom, % 0.85/1.05 p($i!val!8, $i!val!1, $i!val!1) <=> $true). % 0.85/1.05 tff(formula83, axiom, % 0.85/1.05 p($i!val!8, $i!val!0, $i!val!6) <=> $true). % 0.85/1.05 tff(formula84, axiom, % 0.85/1.05 p($i!val!8, $i!val!2, $i!val!7) <=> $true). % 0.85/1.05 tff(formula85, axiom, % 0.85/1.05 p($i!val!8, $i!val!3, $i!val!0) <=> $true). % 0.85/1.05 tff(formula86, axiom, % 0.85/1.05 p($i!val!8, $i!val!4, $i!val!3) <=> $true). % 0.85/1.05 tff(formula87, axiom, % 0.85/1.05 p($i!val!8, $i!val!5, $i!val!8) <=> $true). % 0.85/1.05 tff(formula88, axiom, % 0.85/1.05 p($i!val!8, $i!val!6, $i!val!2) <=> $true). % 0.85/1.05 tff(formula89, axiom, % 0.85/1.05 p($i!val!8, $i!val!7, $i!val!4) <=> $true). % 0.85/1.05 tff(formula90, axiom, % 0.85/1.05 p($i!val!8, $i!val!8, $i!val!5) <=> $true). % 0.85/1.05 tff(formula91, axiom, % 0.85/1.05 ![X0: $i, X1: $i, X2: $i] : ((~((($i!val!0 = X0) & ($i!val!1 = X1) & ($i!val!4 = X2)) | (($i!val!0 = X0) & ($i!val!0 = X1) & ($i!val!5 = X2)) | (($i!val!0 = X0) & ($i!val!2 = X1) & ($i!val!3 = X2)) | (($i!val!0 = X0) & ($i!val!3 = X1) & ($i!val!2 = X2)) | (($i!val!0 = X0) & ($i!val!4 = X1) & ($i!val!7 = X2)) | (($i!val!0 = X0) & ($i!val!5 = X1) & ($i!val!0 = X2)) | (($i!val!0 = X0) & ($i!val!6 = X1) & ($i!val!1 = X2)) | (($i!val!0 = X0) & ($i!val!7 = X1) & ($i!val!6 = X2)) | (($i!val!0 = X0) & ($i!val!8 = X1) & ($i!val!8 = X2)) | (($i!val!1 = X0) & ($i!val!1 = X1) & ($i!val!6 = X2)) | (($i!val!1 = X0) & ($i!val!0 = X1) & ($i!val!7 = X2)) | (($i!val!1 = X0) & ($i!val!2 = X1) & ($i!val!2 = X2)) | (($i!val!1 = X0) & ($i!val!3 = X1) & ($i!val!1 = X2)) | (($i!val!1 = X0) & ($i!val!4 = X1) & ($i!val!8 = X2)) | (($i!val!1 = X0) & ($i!val!5 = X1) & ($i!val!3 = X2)) | (($i!val!1 = X0) & ($i!val!6 = X1) & ($i!val!4 = X2)) | (($i!val!1 = X0) & ($i!val!7 = X1) & ($i!val!5 = X2)) | (($i!val!1 = X0) & ($i!val!8 = X1) & ($i!val!0 = X2)) | (($i!val!2 = X0) & ($i!val!1 = X1) & ($i!val!0 = X2)) | (($i!val!2 = X0) & ($i!val!0 = X1) & ($i!val!8 = X2)) | (($i!val!2 = X0) & ($i!val!2 = X1) & ($i!val!1 = X2)) | (($i!val!2 = X0) & ($i!val!3 = X1) & ($i!val!5 = X2)) | (($i!val!2 = X0) & ($i!val!4 = X1) & ($i!val!6 = X2)) | (($i!val!2 = X0) & ($i!val!5 = X1) & ($i!val!4 = X2)) | (($i!val!2 = X0) & ($i!val!6 = X1) & ($i!val!7 = X2)) | (($i!val!2 = X0) & ($i!val!7 = X1) & ($i!val!2 = X2)) | (($i!val!2 = X0) & ($i!val!8 = X1) & ($i!val!3 = X2)) | (($i!val!3 = X0) & ($i!val!1 = X1) & ($i!val!2 = X2)) | (($i!val!3 = X0) & ($i!val!0 = X1) & ($i!val!3 = X2)) | (($i!val!3 = X0) & ($i!val!2 = X1) & ($i!val!8 = X2)) | (($i!val!3 = X0) & ($i!val!3 = X1) & ($i!val!7 = X2)) | (($i!val!3 = X0) & ($i!val!4 = X1) & ($i!val!4 = X2)) | (($i!val!3 = X0) & ($i!val!5 = X1) & ($i!val!5 = X2)) | (($i!val!3 = X0) & ($i!val!6 = X1) & ($i!val!6 = X2)) | (($i!val!3 = X0) & ($i!val!7 = X1) & ($i!val!0 = X2)) | (($i!val!3 = X0) & ($i!val!8 = X1) & ($i!val!1 = X2)) | (($i!val!4 = X0) & ($i!val!0 = X1) & ($i!val!0 = X2)) | (($i!val!4 = X0) & ($i!val!1 = X1) & ($i!val!7 = X2)) | (($i!val!4 = X0) & ($i!val!2 = X1) & ($i!val!4 = X2)) | (($i!val!4 = X0) & ($i!val!3 = X1) & ($i!val!3 = X2)) | (($i!val!4 = X0) & ($i!val!4 = X1) & ($i!val!1 = X2)) | (($i!val!4 = X0) & ($i!val!5 = X1) & ($i!val!6 = X2)) | (($i!val!4 = X0) & ($i!val!6 = X1) & ($i!val!5 = X2)) | (($i!val!4 = X0) & ($i!val!7 = X1) & ($i!val!8 = X2)) | (($i!val!4 = X0) & ($i!val!8 = X1) & ($i!val!2 = X2)) | (($i!val!5 = X0) & ($i!val!0 = X1) & ($i!val!1 = X2)) | (($i!val!5 = X0) & ($i!val!1 = X1) & ($i!val!5 = X2)) | (($i!val!5 = X0) & ($i!val!2 = X1) & ($i!val!6 = X2)) | (($i!val!5 = X0) & ($i!val!3 = X1) & ($i!val!8 = X2)) | (($i!val!5 = X0) & ($i!val!4 = X1) & ($i!val!0 = X2)) | (($i!val!5 = X0) & ($i!val!5 = X1) & ($i!val!2 = X2)) | (($i!val!5 = X0) & ($i!val!6 = X1) & ($i!val!3 = X2)) | (($i!val!5 = X0) & ($i!val!7 = X1) & ($i!val!7 = X2)) | (($i!val!5 = X0) & ($i!val!8 = X1) & ($i!val!4 = X2)) | (($i!val!6 = X0) & ($i!val!0 = X1) & ($i!val!4 = X2)) | (($i!val!6 = X0) & ($i!val!1 = X1) & ($i!val!8 = X2)) | (($i!val!6 = X0) & ($i!val!2 = X1) & ($i!val!5 = X2)) | (($i!val!6 = X0) & ($i!val!3 = X1) & ($i!val!6 = X2)) | (($i!val!6 = X0) & ($i!val!4 = X1) & ($i!val!2 = X2)) | (($i!val!6 = X0) & ($i!val!5 = X1) & ($i!val!1 = X2)) | (($i!val!6 = X0) & ($i!val!6 = X1) & ($i!val!0 = X2)) | (($i!val!6 = X0) & ($i!val!7 = X1) & ($i!val!3 = X2)) | (($i!val!6 = X0) & ($i!val!8 = X1) & ($i!val!7 = X2)) | (($i!val!7 = X0) & ($i!val!0 = X1) & ($i!val!2 = X2)) | (($i!val!7 = X0) & ($i!val!1 = X1) & ($i!val!3 = X2)) | (($i!val!7 = X0) & ($i!val!2 = X1) & ($i!val!0 = X2)) | (($i!val!7 = X0) & ($i!val!3 = X1) & ($i!val!4 = X2)) | (($i!val!7 = X0) & ($i!val!4 = X1) & ($i!val!5 = X2)) | (($i!val!7 = X0) & ($i!val!5 = X1) & ($i!val!7 = X2)) | (($i!val!7 = X0) & ($i!val!6 = X1) & ($i!val!8 = X2)) | (($i!val!7 = X0) & ($i!val!7 = X1) & ($i!val!1 = X2)) | (($i!val!7 = X0) & ($i!val!8 = X1) & ($i!val!6 = X2)) | (($i!val!8 = X0) & ($i!val!1 = X1) & ($i!val!1 = X2)) | (($i!val!8 = X0) & ($i!val!0 = X1) & ($i!val!6 = X2)) | (($i!val!8 = X0) & ($i!val!2 = X1) & ($i!val!7 = X2)) | (($i!val!8 = X0) & ($i!val!3 = X1) & ($i!val!0 = X2)) | (($i!val!8 = X0) & ($i!val!4 = X1) & ($i!val!3 = X2)) | (($i!val!8 = X0) & ($i!val!5 = X1) & ($i!val!8 = X2)) | (($i!val!8 = X0) & ($i!val!6 = X1) & ($i!val!2 = X2)) | (($i!val!8 = X0) & ($i!val!7 = X1) & ($i!val!4 = X2)) | (($i!val!8 = X0) & ($i!val!8 = X1) & ($i!val!5 = X2)))) => (p(X0, X1, X2) <=> $false))). % 1.17/1.35 % SZS output end Model % 1.17/1.37 % E exiting %------------------------------------------------------------------------------