%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : PUZ070+1 : TPTP v9.0.0. Released v3.2.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n013.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 05:23:21 AM UTC 2025 % Result : Satisfiable 0.21s 0.57s % Output : Model 0.48s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : PUZ070+1 : TPTP v9.0.0. Released v3.2.0. % 0.06/0.12 % Command : run_E %s %d THM % 0.12/0.34 % Computer : n013.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 300 % 0.12/0.34 % DateTime : Fri Jun 20 02:46:08 EDT 2025 % 0.12/0.34 % CPUTime : % 0.21/0.57 % SZS status Satisfiable % 0.21/0.57 % SZS output start Model % 0.21/0.57 tff(tptp_fun__i_val_2_type, type, ( % 0.21/0.57 tptp_fun__i_val_2: $i)). % 0.21/0.57 tff(n3_type, type, ( % 0.21/0.57 n3: $i)). % 0.21/0.57 tff(tptp_fun__i_val_3_type, type, ( % 0.21/0.57 tptp_fun__i_val_3: $i)). % 0.21/0.57 tff(n4_type, type, ( % 0.21/0.57 n4: $i)). % 0.21/0.57 tff(tptp_fun__i_val_0_type, type, ( % 0.21/0.57 tptp_fun__i_val_0: $i)). % 0.21/0.57 tff(n1_type, type, ( % 0.21/0.57 n1: $i)). % 0.21/0.57 tff(tptp_fun__i_val_1_type, type, ( % 0.21/0.57 tptp_fun__i_val_1: $i)). % 0.21/0.57 tff(n2_type, type, ( % 0.21/0.57 n2: $i)). % 0.21/0.57 tff(tptp_fun__i_val_8_type, type, ( % 0.21/0.57 tptp_fun__i_val_8: $i)). % 0.21/0.57 tff(n9_type, type, ( % 0.21/0.57 n9: $i)). % 0.21/0.57 tff(tptp_fun__i_val_4_type, type, ( % 0.21/0.57 tptp_fun__i_val_4: $i)). % 0.21/0.57 tff(n5_type, type, ( % 0.21/0.57 n5: $i)). % 0.21/0.57 tff(tptp_fun__i_val_7_type, type, ( % 0.21/0.57 tptp_fun__i_val_7: $i)). % 0.21/0.57 tff(n8_type, type, ( % 0.21/0.57 n8: $i)). % 0.21/0.57 tff(tptp_fun__i_val_5_type, type, ( % 0.21/0.57 tptp_fun__i_val_5: $i)). % 0.21/0.57 tff(n6_type, type, ( % 0.21/0.57 n6: $i)). % 0.21/0.57 tff(tptp_fun__i_val_6_type, type, ( % 0.21/0.57 tptp_fun__i_val_6: $i)). % 0.21/0.57 tff(n7_type, type, ( % 0.21/0.57 n7: $i)). % 0.21/0.57 tff(ssA_type, type, ( % 0.21/0.57 ssA: ( $i * $i ) > $i)). % 0.21/0.57 tff(ssP_type, type, ( % 0.21/0.57 ssP: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)). % 0.21/0.57 tff(formula1, axiom, % 0.21/0.57 n3 = $i!val!2). % 0.21/0.57 tff(formula2, axiom, % 0.21/0.57 n4 = $i!val!3). % 0.21/0.57 tff(formula3, axiom, % 0.21/0.57 n1 = $i!val!0). % 0.21/0.57 tff(formula4, axiom, % 0.21/0.57 n2 = $i!val!1). % 0.21/0.57 tff(formula5, axiom, % 0.21/0.57 n9 = $i!val!8). % 0.21/0.57 tff(formula6, axiom, % 0.21/0.57 n5 = $i!val!4). % 0.21/0.57 tff(formula7, axiom, % 0.21/0.57 n8 = $i!val!7). % 0.21/0.57 tff(formula8, axiom, % 0.21/0.57 n6 = $i!val!5). % 0.21/0.57 tff(formula9, axiom, % 0.21/0.57 n7 = $i!val!6). % 0.21/0.57 tff(formula10, axiom, % 0.21/0.57 ssA($i!val!0, $i!val!0) = $i!val!0). % 0.21/0.57 tff(formula11, axiom, % 0.21/0.57 ssA($i!val!0, $i!val!1) = $i!val!6). % 0.21/0.57 tff(formula12, axiom, % 0.21/0.57 ssA($i!val!0, $i!val!2) = $i!val!5). % 0.21/0.57 tff(formula13, axiom, % 0.21/0.57 ssA($i!val!0, $i!val!3) = $i!val!2). % 0.21/0.57 tff(formula14, axiom, % 0.21/0.57 ssA($i!val!0, $i!val!4) = $i!val!4). % 0.21/0.57 tff(formula15, axiom, % 0.21/0.57 ssA($i!val!0, $i!val!5) = $i!val!8). % 0.21/0.57 tff(formula16, axiom, % 0.21/0.57 ssA($i!val!0, $i!val!7) = $i!val!7). % 0.21/0.57 tff(formula17, axiom, % 0.21/0.57 ssA($i!val!0, $i!val!8) = $i!val!3). % 0.21/0.57 tff(formula18, axiom, % 0.21/0.57 ssA($i!val!1, $i!val!0) = $i!val!4). % 0.21/0.57 tff(formula19, axiom, % 0.21/0.57 ssA($i!val!1, $i!val!1) = $i!val!2). % 0.21/0.57 tff(formula20, axiom, % 0.21/0.57 ssA($i!val!1, $i!val!2) = $i!val!8). % 0.21/0.57 tff(formula21, axiom, % 0.21/0.57 ssA($i!val!1, $i!val!3) = $i!val!3). % 0.21/0.57 tff(formula22, axiom, % 0.21/0.57 ssA($i!val!1, $i!val!5) = $i!val!7). % 0.21/0.57 tff(formula23, axiom, % 0.21/0.57 ssA($i!val!1, $i!val!6) = $i!val!5). % 0.21/0.57 tff(formula24, axiom, % 0.21/0.57 ssA($i!val!1, $i!val!7) = $i!val!6). % 0.21/0.57 tff(formula25, axiom, % 0.21/0.57 ssA($i!val!1, $i!val!8) = $i!val!0). % 0.21/0.57 tff(formula26, axiom, % 0.21/0.57 ssA($i!val!2, $i!val!0) = $i!val!3). % 0.21/0.57 tff(formula27, axiom, % 0.21/0.57 ssA($i!val!2, $i!val!1) = $i!val!7). % 0.21/0.57 tff(formula28, axiom, % 0.21/0.57 ssA($i!val!2, $i!val!3) = $i!val!6). % 0.21/0.57 tff(formula29, axiom, % 0.21/0.57 ssA($i!val!2, $i!val!4) = $i!val!5). % 0.21/0.57 tff(formula30, axiom, % 0.21/0.57 ssA($i!val!2, $i!val!5) = $i!val!0). % 0.21/0.57 tff(formula31, axiom, % 0.21/0.57 ssA($i!val!2, $i!val!6) = $i!val!2). % 0.21/0.57 tff(formula32, axiom, % 0.21/0.57 ssA($i!val!2, $i!val!7) = $i!val!4). % 0.21/0.57 tff(formula33, axiom, % 0.21/0.57 ssA($i!val!2, $i!val!8) = $i!val!8). % 0.21/0.57 tff(formula34, axiom, % 0.21/0.57 ssA($i!val!3, $i!val!0) = $i!val!6). % 0.21/0.57 tff(formula35, axiom, % 0.21/0.57 ssA($i!val!3, $i!val!1) = $i!val!5). % 0.21/0.57 tff(formula36, axiom, % 0.21/0.57 ssA($i!val!3, $i!val!2) = $i!val!0). % 0.21/0.57 tff(formula37, axiom, % 0.21/0.57 ssA($i!val!3, $i!val!3) = $i!val!7). % 0.21/0.57 tff(formula38, axiom, % 0.21/0.57 ssA($i!val!3, $i!val!4) = $i!val!2). % 0.21/0.57 tff(formula39, axiom, % 0.21/0.57 ssA($i!val!3, $i!val!5) = $i!val!3). % 0.21/0.57 tff(formula40, axiom, % 0.21/0.57 ssA($i!val!3, $i!val!6) = $i!val!8). % 0.21/0.57 tff(formula41, axiom, % 0.21/0.57 ssA($i!val!3, $i!val!8) = $i!val!4). % 0.21/0.57 tff(formula42, axiom, % 0.21/0.57 ssA($i!val!4, $i!val!0) = $i!val!8). % 0.21/0.57 tff(formula43, axiom, % 0.21/0.57 ssA($i!val!4, $i!val!1) = $i!val!4). % 0.21/0.57 tff(formula44, axiom, % 0.21/0.57 ssA($i!val!4, $i!val!2) = $i!val!3). % 0.21/0.57 tff(formula45, axiom, % 0.21/0.57 ssA($i!val!4, $i!val!3) = $i!val!5). % 0.21/0.57 tff(formula46, axiom, % 0.21/0.57 ssA($i!val!4, $i!val!4) = $i!val!0). % 0.21/0.57 tff(formula47, axiom, % 0.21/0.57 ssA($i!val!4, $i!val!6) = $i!val!7). % 0.21/0.57 tff(formula48, axiom, % 0.21/0.57 ssA($i!val!4, $i!val!7) = $i!val!2). % 0.21/0.57 tff(formula49, axiom, % 0.21/0.57 ssA($i!val!4, $i!val!8) = $i!val!6). % 0.21/0.57 tff(formula50, axiom, % 0.21/0.57 ssA($i!val!5, $i!val!0) = $i!val!7). % 0.21/0.57 tff(formula51, axiom, % 0.21/0.57 ssA($i!val!5, $i!val!2) = $i!val!2). % 0.21/0.57 tff(formula52, axiom, % 0.21/0.57 ssA($i!val!5, $i!val!3) = $i!val!4). % 0.21/0.57 tff(formula53, axiom, % 0.21/0.57 ssA($i!val!5, $i!val!4) = $i!val!8). % 0.21/0.57 tff(formula54, axiom, % 0.21/0.57 ssA($i!val!5, $i!val!5) = $i!val!6). % 0.21/0.57 tff(formula55, axiom, % 0.21/0.57 ssA($i!val!5, $i!val!6) = $i!val!3). % 0.21/0.57 tff(formula56, axiom, % 0.21/0.57 ssA($i!val!5, $i!val!7) = $i!val!0). % 0.21/0.57 tff(formula57, axiom, % 0.21/0.57 ssA($i!val!5, $i!val!8) = $i!val!5). % 0.21/0.57 tff(formula58, axiom, % 0.21/0.57 ssA($i!val!6, $i!val!0) = $i!val!5). % 0.21/0.57 tff(formula59, axiom, % 0.21/0.57 ssA($i!val!6, $i!val!1) = $i!val!8). % 0.21/0.57 tff(formula60, axiom, % 0.21/0.57 ssA($i!val!6, $i!val!2) = $i!val!7). % 0.21/0.57 tff(formula61, axiom, % 0.21/0.57 ssA($i!val!6, $i!val!4) = $i!val!6). % 0.21/0.57 tff(formula62, axiom, % 0.21/0.57 ssA($i!val!6, $i!val!5) = $i!val!4). % 0.21/0.57 tff(formula63, axiom, % 0.21/0.57 ssA($i!val!6, $i!val!6) = $i!val!0). % 0.21/0.57 tff(formula64, axiom, % 0.21/0.57 ssA($i!val!6, $i!val!7) = $i!val!3). % 0.21/0.57 tff(formula65, axiom, % 0.21/0.57 ssA($i!val!6, $i!val!8) = $i!val!2). % 0.21/0.57 tff(formula66, axiom, % 0.21/0.57 ssA($i!val!7, $i!val!0) = $i!val!2). % 0.21/0.57 tff(formula67, axiom, % 0.21/0.57 ssA($i!val!7, $i!val!1) = $i!val!3). % 0.21/0.57 tff(formula68, axiom, % 0.21/0.57 ssA($i!val!7, $i!val!2) = $i!val!4). % 0.21/0.57 tff(formula69, axiom, % 0.21/0.57 ssA($i!val!7, $i!val!3) = $i!val!0). % 0.21/0.57 tff(formula70, axiom, % 0.21/0.57 ssA($i!val!7, $i!val!4) = $i!val!7). % 0.21/0.57 tff(formula71, axiom, % 0.21/0.57 ssA($i!val!7, $i!val!5) = $i!val!5). % 0.21/0.57 tff(formula72, axiom, % 0.21/0.57 ssA($i!val!7, $i!val!6) = $i!val!6). % 0.21/0.57 tff(formula73, axiom, % 0.21/0.57 ssA($i!val!7, $i!val!7) = $i!val!8). % 0.21/0.57 tff(formula74, axiom, % 0.21/0.57 ssA($i!val!8, $i!val!1) = $i!val!0). % 0.21/0.57 tff(formula75, axiom, % 0.21/0.57 ssA($i!val!8, $i!val!2) = $i!val!6). % 0.21/0.57 tff(formula76, axiom, % 0.21/0.57 ssA($i!val!8, $i!val!3) = $i!val!8). % 0.21/0.57 tff(formula77, axiom, % 0.21/0.57 ssA($i!val!8, $i!val!4) = $i!val!3). % 0.21/0.57 tff(formula78, axiom, % 0.21/0.57 ssA($i!val!8, $i!val!5) = $i!val!2). % 0.21/0.57 tff(formula79, axiom, % 0.21/0.57 ssA($i!val!8, $i!val!6) = $i!val!4). % 0.21/0.57 tff(formula80, axiom, % 0.21/0.57 ssA($i!val!8, $i!val!7) = $i!val!5). % 0.21/0.57 tff(formula81, axiom, % 0.21/0.57 ssA($i!val!8, $i!val!8) = $i!val!7). % 0.21/0.57 tff(formula82, axiom, % 0.21/0.57 ![X0: $i, X1: $i] : ((~((($i!val!0 = X0) & ($i!val!0 = X1)) | (($i!val!0 = X0) & ($i!val!1 = X1)) | (($i!val!0 = X0) & ($i!val!2 = X1)) | (($i!val!0 = X0) & ($i!val!3 = X1)) | (($i!val!0 = X0) & ($i!val!4 = X1)) | (($i!val!0 = X0) & ($i!val!5 = X1)) | (($i!val!0 = X0) & ($i!val!7 = X1)) | (($i!val!0 = X0) & ($i!val!8 = X1)) | (($i!val!1 = X0) & ($i!val!0 = X1)) | (($i!val!1 = X0) & ($i!val!1 = X1)) | (($i!val!1 = X0) & ($i!val!2 = X1)) | (($i!val!1 = X0) & ($i!val!3 = X1)) | (($i!val!1 = X0) & ($i!val!5 = X1)) | (($i!val!1 = X0) & ($i!val!6 = X1)) | (($i!val!1 = X0) & ($i!val!7 = X1)) | (($i!val!1 = X0) & ($i!val!8 = X1)) | (($i!val!2 = X0) & ($i!val!0 = X1)) | (($i!val!2 = X0) & ($i!val!1 = X1)) | (($i!val!2 = X0) & ($i!val!3 = X1)) | (($i!val!2 = X0) & ($i!val!4 = X1)) | (($i!val!2 = X0) & ($i!val!5 = X1)) | (($i!val!2 = X0) & ($i!val!6 = X1)) | (($i!val!2 = X0) & ($i!val!7 = X1)) | (($i!val!2 = X0) & ($i!val!8 = X1)) | (($i!val!3 = X0) & ($i!val!0 = X1)) | (($i!val!3 = X0) & ($i!val!1 = X1)) | (($i!val!3 = X0) & ($i!val!2 = X1)) | (($i!val!3 = X0) & ($i!val!3 = X1)) | (($i!val!3 = X0) & ($i!val!4 = X1)) | (($i!val!3 = X0) & ($i!val!5 = X1)) | (($i!val!3 = X0) & ($i!val!6 = X1)) | (($i!val!3 = X0) & ($i!val!8 = X1)) | (($i!val!4 = X0) & ($i!val!0 = X1)) | (($i!val!4 = X0) & ($i!val!1 = X1)) | (($i!val!4 = X0) & ($i!val!2 = X1)) | (($i!val!4 = X0) & ($i!val!3 = X1)) | (($i!val!4 = X0) & ($i!val!4 = X1)) | (($i!val!4 = X0) & ($i!val!6 = X1)) | (($i!val!4 = X0) & ($i!val!7 = X1)) | (($i!val!4 = X0) & ($i!val!8 = X1)) | (($i!val!5 = X0) & ($i!val!0 = X1)) | (($i!val!5 = X0) & ($i!val!2 = X1)) | (($i!val!5 = X0) & ($i!val!3 = X1)) | (($i!val!5 = X0) & ($i!val!4 = X1)) | (($i!val!5 = X0) & ($i!val!5 = X1)) | (($i!val!5 = X0) & ($i!val!6 = X1)) | (($i!val!5 = X0) & ($i!val!7 = X1)) | (($i!val!5 = X0) & ($i!val!8 = X1)) | (($i!val!6 = X0) & ($i!val!0 = X1)) | (($i!val!6 = X0) & ($i!val!1 = X1)) | (($i!val!6 = X0) & ($i!val!2 = X1)) | (($i!val!6 = X0) & ($i!val!4 = X1)) | (($i!val!6 = X0) & ($i!val!5 = X1)) | (($i!val!6 = X0) & ($i!val!6 = X1)) | (($i!val!6 = X0) & ($i!val!7 = X1)) | (($i!val!6 = X0) & ($i!val!8 = X1)) | (($i!val!7 = X0) & ($i!val!0 = X1)) | (($i!val!7 = X0) & ($i!val!1 = X1)) | (($i!val!7 = X0) & ($i!val!2 = X1)) | (($i!val!7 = X0) & ($i!val!3 = X1)) | (($i!val!7 = X0) & ($i!val!4 = X1)) | (($i!val!7 = X0) & ($i!val!5 = X1)) | (($i!val!7 = X0) & ($i!val!6 = X1)) | (($i!val!7 = X0) & ($i!val!7 = X1)) | (($i!val!8 = X0) & ($i!val!1 = X1)) | (($i!val!8 = X0) & ($i!val!2 = X1)) | (($i!val!8 = X0) & ($i!val!3 = X1)) | (($i!val!8 = X0) & ($i!val!4 = X1)) | (($i!val!8 = X0) & ($i!val!5 = X1)) | (($i!val!8 = X0) & ($i!val!6 = X1)) | (($i!val!8 = X0) & ($i!val!7 = X1)) | (($i!val!8 = X0) & ($i!val!8 = X1)))) => (ssA(X0, X1) = $i!val!1))). % 0.48/0.64 tff(formula83, axiom, % 0.48/0.64 ![X0: $i, X1: $i, X2: $i, X3: $i, X4: $i, X5: $i, X6: $i, X7: $i, X8: $i, X9: $i, X10: $i, X11: $i, X12: $i, X13: $i, X14: $i, X15: $i, X16: $i, X17: $i, X18: $i, X19: $i, X20: $i, X21: $i, X22: $i, X23: $i, X24: $i, X25: $i, X26: $i, X27: $i, X28: $i, X29: $i, X30: $i, X31: $i, X32: $i, X33: $i, X34: $i, X35: $i, X36: $i, X37: $i, X38: $i, X39: $i, X40: $i, X41: $i, X42: $i, X43: $i, X44: $i, X45: $i, X46: $i, X47: $i, X48: $i, X49: $i, X50: $i, X51: $i, X52: $i, X53: $i, X54: $i, X55: $i, X56: $i, X57: $i, X58: $i, X59: $i, X60: $i, X61: $i, X62: $i, X63: $i, X64: $i, X65: $i, X66: $i, X67: $i, X68: $i, X69: $i, X70: $i, X71: $i, X72: $i, X73: $i, X74: $i, X75: $i, X76: $i, X77: $i, X78: $i, X79: $i, X80: $i] : (ssP(X0, X1, X2, X3, X4, X5, X6, X7, X8, X9, X10, X11, X12, X13, X14, X15, X16, X17, X18, X19, X20, X21, X22, X23, X24, X25, X26, X27, X28, X29, X30, X31, X32, X33, X34, X35, X36, X37, X38, X39, X40, X41, X42, X43, X44, X45, X46, X47, X48, X49, X50, X51, X52, X53, X54, X55, X56, X57, X58, X59, X60, X61, X62, X63, X64, X65, X66, X67, X68, X69, X70, X71, X72, X73, X74, X75, X76, X77, X78, X79, X80) <=> $true)). % 0.48/0.64 % SZS output end Model % 0.48/0.65 % E exiting %------------------------------------------------------------------------------