%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : SYN497-1 : TPTP v9.0.0. Released v2.1.0. % 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 05:39:21 AM UTC 2025 % Result : Satisfiable 0.19s 0.38s % Output : Model 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN497-1 : TPTP v9.0.0. Released v2.1.0. % 0.00/0.12 % Command : run_E %s %d THM % 0.12/0.33 % Computer : n009.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 12:36:48 EDT 2025 % 0.12/0.33 % CPUTime : % 0.19/0.38 % SZS status Satisfiable % 0.19/0.38 % SZS output start Model % 0.19/0.38 tff(hskp0_type, type, ( % 0.19/0.38 hskp0: $o)). % 0.19/0.38 tff(hskp9_type, type, ( % 0.19/0.38 hskp9: $o)). % 0.19/0.38 tff(hskp2_type, type, ( % 0.19/0.38 hskp2: $o)). % 0.19/0.38 tff(tptp_fun__i_val_3_type, type, ( % 0.19/0.38 tptp_fun__i_val_3: $i)). % 0.19/0.38 tff(a98_type, type, ( % 0.19/0.38 a98: $i)). % 0.19/0.38 tff(tptp_fun__i_val_7_type, type, ( % 0.19/0.38 tptp_fun__i_val_7: $i)). % 0.19/0.38 tff(a102_type, type, ( % 0.19/0.38 a102: $i)). % 0.19/0.38 tff(hskp1_type, type, ( % 0.19/0.38 hskp1: $o)). % 0.19/0.38 tff(tptp_fun__i_val_6_type, type, ( % 0.19/0.38 tptp_fun__i_val_6: $i)). % 0.19/0.38 tff(a104_type, type, ( % 0.19/0.38 a104: $i)). % 0.19/0.38 tff(tptp_fun__i_val_5_type, type, ( % 0.19/0.38 tptp_fun__i_val_5: $i)). % 0.19/0.38 tff(a91_type, type, ( % 0.19/0.38 a91: $i)). % 0.19/0.38 tff(hskp12_type, type, ( % 0.19/0.38 hskp12: $o)). % 0.19/0.38 tff(hskp11_type, type, ( % 0.19/0.38 hskp11: $o)). % 0.19/0.38 tff(ndr1_0_type, type, ( % 0.19/0.38 ndr1_0: $o)). % 0.19/0.38 tff(hskp13_type, type, ( % 0.19/0.38 hskp13: $o)). % 0.19/0.38 tff(hskp7_type, type, ( % 0.19/0.38 hskp7: $o)). % 0.19/0.38 tff(tptp_fun__i_val_2_type, type, ( % 0.19/0.38 tptp_fun__i_val_2: $i)). % 0.19/0.38 tff(a100_type, type, ( % 0.19/0.38 a100: $i)). % 0.19/0.38 tff(hskp3_type, type, ( % 0.19/0.38 hskp3: $o)). % 0.19/0.38 tff(hskp5_type, type, ( % 0.19/0.38 hskp5: $o)). % 0.19/0.38 tff(tptp_fun__i_val_1_type, type, ( % 0.19/0.38 tptp_fun__i_val_1: $i)). % 0.19/0.38 tff(a101_type, type, ( % 0.19/0.38 a101: $i)). % 0.19/0.38 tff(hskp6_type, type, ( % 0.19/0.38 hskp6: $o)). % 0.19/0.38 tff(hskp10_type, type, ( % 0.19/0.38 hskp10: $o)). % 0.19/0.38 tff(tptp_fun__i_val_4_type, type, ( % 0.19/0.38 tptp_fun__i_val_4: $i)). % 0.19/0.38 tff(a95_type, type, ( % 0.19/0.38 a95: $i)). % 0.19/0.38 tff(tptp_fun__i_val_0_type, type, ( % 0.19/0.38 tptp_fun__i_val_0: $i)). % 0.19/0.38 tff(a103_type, type, ( % 0.19/0.38 a103: $i)). % 0.19/0.38 tff(tptp_fun__i_val_8_type, type, ( % 0.19/0.38 tptp_fun__i_val_8: $i)). % 0.19/0.38 tff(a97_type, type, ( % 0.19/0.38 a97: $i)). % 0.19/0.38 tff(tptp_fun__i_val_9_type, type, ( % 0.19/0.38 tptp_fun__i_val_9: $i)). % 0.19/0.38 tff(a96_type, type, ( % 0.19/0.38 a96: $i)). % 0.19/0.38 tff(tptp_fun__i_val_10_type, type, ( % 0.19/0.38 tptp_fun__i_val_10: $i)). % 0.19/0.38 tff(a93_type, type, ( % 0.19/0.38 a93: $i)). % 0.19/0.38 tff(hskp8_type, type, ( % 0.19/0.38 hskp8: $o)). % 0.19/0.38 tff(hskp4_type, type, ( % 0.19/0.38 hskp4: $o)). % 0.19/0.38 tff(k!0_type, type, ( % 0.19/0.38 k!0: $i > $i)). % 0.19/0.38 tff(c0_1_type, type, ( % 0.19/0.38 c0_1: $i > $o)). % 0.19/0.38 tff(c2_1_type, type, ( % 0.19/0.38 c2_1: $i > $o)). % 0.19/0.38 tff(c3_1_type, type, ( % 0.19/0.38 c3_1: $i > $o)). % 0.19/0.38 tff(c1_1_type, type, ( % 0.19/0.38 c1_1: $i > $o)). % 0.19/0.38 tff(formula1, axiom, % 0.19/0.38 hskp0 <=> $false). % 0.19/0.38 tff(formula2, axiom, % 0.19/0.38 hskp9 <=> $false). % 0.19/0.38 tff(formula3, axiom, % 0.19/0.38 hskp2 <=> $false). % 0.19/0.38 tff(formula4, axiom, % 0.19/0.38 a98 = $i!val!3). % 0.19/0.38 tff(formula5, axiom, % 0.19/0.38 a102 = $i!val!7). % 0.19/0.38 tff(formula6, axiom, % 0.19/0.38 hskp1 <=> $false). % 0.19/0.38 tff(formula7, axiom, % 0.19/0.38 a104 = $i!val!6). % 0.19/0.38 tff(formula8, axiom, % 0.19/0.38 a91 = $i!val!5). % 0.19/0.38 tff(formula9, axiom, % 0.19/0.38 hskp12 <=> $false). % 0.19/0.38 tff(formula10, axiom, % 0.19/0.38 hskp11 <=> $false). % 0.19/0.38 tff(formula11, axiom, % 0.19/0.38 ndr1_0 <=> $true). % 0.19/0.38 tff(formula12, axiom, % 0.19/0.38 hskp13 <=> $true). % 0.19/0.38 tff(formula13, axiom, % 0.19/0.38 hskp7 <=> $false). % 0.19/0.38 tff(formula14, axiom, % 0.19/0.38 a100 = $i!val!2). % 0.19/0.38 tff(formula15, axiom, % 0.19/0.38 hskp3 <=> $false). % 0.19/0.38 tff(formula16, axiom, % 0.19/0.38 hskp5 <=> $false). % 0.19/0.38 tff(formula17, axiom, % 0.19/0.38 a101 = $i!val!1). % 0.19/0.38 tff(formula18, axiom, % 0.19/0.38 hskp6 <=> $false). % 0.19/0.38 tff(formula19, axiom, % 0.19/0.38 hskp10 <=> $false). % 0.19/0.38 tff(formula20, axiom, % 0.19/0.38 a95 = $i!val!4). % 0.19/0.38 tff(formula21, axiom, % 0.19/0.38 a103 = $i!val!0). % 0.19/0.38 tff(formula22, axiom, % 0.19/0.38 a97 = $i!val!8). % 0.19/0.38 tff(formula23, axiom, % 0.19/0.38 a96 = $i!val!9). % 0.19/0.38 tff(formula24, axiom, % 0.19/0.38 a93 = $i!val!10). % 0.19/0.38 tff(formula25, axiom, % 0.19/0.38 hskp8 <=> $true). % 0.19/0.38 tff(formula26, axiom, % 0.19/0.38 hskp4 <=> $false). % 0.19/0.38 tff(formula27, axiom, % 0.19/0.38 ![X0: $i] : (c0_1(X0) <=> (k!0(X0) = $i!val!4))). % 0.19/0.38 tff(formula28, axiom, % 0.19/0.38 ![X0: $i] : (c2_1(X0) <=> ((k!0(X0) = $i!val!0) | (k!0(X0) = $i!val!4)))). % 0.19/0.38 tff(formula29, axiom, % 0.19/0.38 ![X0: $i] : (c3_1(X0) <=> (k!0(X0) = $i!val!0))). % 0.19/0.38 tff(formula30, axiom, % 0.19/0.38 k!0($i!val!10) = $i!val!10). % 0.19/0.38 tff(formula31, axiom, % 0.19/0.38 k!0($i!val!4) = $i!val!4). % 0.19/0.38 tff(formula32, axiom, % 0.19/0.38 k!0($i!val!0) = $i!val!0). % 0.19/0.38 tff(formula33, axiom, % 0.19/0.38 k!0($i!val!8) = $i!val!8). % 0.19/0.38 tff(formula34, axiom, % 0.19/0.38 k!0($i!val!1) = $i!val!1). % 0.19/0.38 tff(formula35, axiom, % 0.19/0.38 k!0($i!val!9) = $i!val!9). % 0.19/0.38 tff(formula36, axiom, % 0.19/0.38 k!0($i!val!7) = $i!val!7). % 0.19/0.38 tff(formula37, axiom, % 0.19/0.38 k!0($i!val!3) = $i!val!3). % 0.19/0.38 tff(formula38, axiom, % 0.19/0.38 k!0($i!val!2) = $i!val!2). % 0.19/0.38 tff(formula39, axiom, % 0.19/0.38 k!0($i!val!5) = $i!val!5). % 0.19/0.38 tff(formula40, axiom, % 0.19/0.38 ![X0: $i] : ((~((($i!val!10 = X0)) | (($i!val!4 = X0)) | (($i!val!0 = X0)) | (($i!val!8 = X0)) | (($i!val!1 = X0)) | (($i!val!9 = X0)) | (($i!val!7 = X0)) | (($i!val!3 = X0)) | (($i!val!2 = X0)) | (($i!val!5 = X0)))) => (k!0(X0) = $i!val!6))). % 0.19/0.38 tff(formula41, axiom, % 0.19/0.38 ![X0: $i] : (c1_1(X0) <=> (k!0(X0) = $i!val!0))). % 0.19/0.38 % SZS output end Model % 0.19/0.38 % E exiting %------------------------------------------------------------------------------