%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : SYN456+1 : TPTP v9.0.0. Released v2.1.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n010.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 05:39:10 AM UTC 2025 % Result : CounterSatisfiable 0.19s 0.49s % Output : Model 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SYN456+1 : TPTP v9.0.0. Released v2.1.0. % 0.11/0.12 % Command : run_E %s %d THM % 0.12/0.33 % Computer : n010.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 12:37:57 EDT 2025 % 0.12/0.33 % CPUTime : % 0.19/0.49 % SZS status CounterSatisfiable % 0.19/0.49 % SZS output start Model % 0.19/0.49 tff(tptp_fun__i_val_5_type, type, ( % 0.19/0.49 tptp_fun__i_val_5: $i)). % 0.19/0.49 tff(a1008_type, type, ( % 0.19/0.49 a1008: $i)). % 0.19/0.49 tff(tptp_fun__i_val_6_type, type, ( % 0.19/0.49 tptp_fun__i_val_6: $i)). % 0.19/0.49 tff(a1017_type, type, ( % 0.19/0.49 a1017: $i)). % 0.19/0.49 tff(hskp0_type, type, ( % 0.19/0.49 hskp0: $o)). % 0.19/0.49 tff(hskp14_type, type, ( % 0.19/0.49 hskp14: $o)). % 0.19/0.49 tff(tptp_fun__i_val_0_type, type, ( % 0.19/0.49 tptp_fun__i_val_0: $i)). % 0.19/0.49 tff(a991_type, type, ( % 0.19/0.49 a991: $i)). % 0.19/0.49 tff(hskp9_type, type, ( % 0.19/0.49 hskp9: $o)). % 0.19/0.49 tff(tptp_fun__i_val_7_type, type, ( % 0.19/0.49 tptp_fun__i_val_7: $i)). % 0.19/0.49 tff(a1025_type, type, ( % 0.19/0.49 a1025: $i)). % 0.19/0.49 tff(hskp8_type, type, ( % 0.19/0.49 hskp8: $o)). % 0.19/0.49 tff(hskp15_type, type, ( % 0.19/0.49 hskp15: $o)). % 0.19/0.49 tff(hskp2_type, type, ( % 0.19/0.49 hskp2: $o)). % 0.19/0.49 tff(tptp_fun__i_val_4_type, type, ( % 0.19/0.49 tptp_fun__i_val_4: $i)). % 0.19/0.49 tff(a1004_type, type, ( % 0.19/0.49 a1004: $i)). % 0.19/0.49 tff(hskp26_type, type, ( % 0.19/0.49 hskp26: $o)). % 0.19/0.49 tff(hskp4_type, type, ( % 0.19/0.49 hskp4: $o)). % 0.19/0.49 tff(tptp_fun__i_val_10_type, type, ( % 0.19/0.49 tptp_fun__i_val_10: $i)). % 0.19/0.49 tff(a1059_type, type, ( % 0.19/0.49 a1059: $i)). % 0.19/0.49 tff(hskp29_type, type, ( % 0.19/0.49 hskp29: $o)). % 0.19/0.49 tff(hskp1_type, type, ( % 0.19/0.49 hskp1: $o)). % 0.19/0.49 tff(hskp27_type, type, ( % 0.19/0.49 hskp27: $o)). % 0.19/0.49 tff(hskp11_type, type, ( % 0.19/0.49 hskp11: $o)). % 0.19/0.49 tff(hskp12_type, type, ( % 0.19/0.49 hskp12: $o)). % 0.19/0.49 tff(hskp24_type, type, ( % 0.19/0.49 hskp24: $o)). % 0.19/0.49 tff(ndr1_0_type, type, ( % 0.19/0.49 ndr1_0: $o)). % 0.19/0.49 tff(hskp13_type, type, ( % 0.19/0.49 hskp13: $o)). % 0.19/0.49 tff(hskp7_type, type, ( % 0.19/0.49 hskp7: $o)). % 0.19/0.49 tff(hskp3_type, type, ( % 0.19/0.49 hskp3: $o)). % 0.19/0.49 tff(hskp5_type, type, ( % 0.19/0.49 hskp5: $o)). % 0.19/0.49 tff(tptp_fun__i_val_2_type, type, ( % 0.19/0.49 tptp_fun__i_val_2: $i)). % 0.19/0.49 tff(a995_type, type, ( % 0.19/0.49 a995: $i)). % 0.19/0.49 tff(hskp6_type, type, ( % 0.19/0.49 hskp6: $o)). % 0.19/0.49 tff(hskp10_type, type, ( % 0.19/0.49 hskp10: $o)). % 0.19/0.49 tff(tptp_fun__i_val_9_type, type, ( % 0.19/0.49 tptp_fun__i_val_9: $i)). % 0.19/0.49 tff(a1058_type, type, ( % 0.19/0.49 a1058: $i)). % 0.19/0.49 tff(hskp30_type, type, ( % 0.19/0.49 hskp30: $o)). % 0.19/0.49 tff(hskp19_type, type, ( % 0.19/0.49 hskp19: $o)). % 0.19/0.49 tff(tptp_fun__i_val_11_type, type, ( % 0.19/0.49 tptp_fun__i_val_11: $i)). % 0.19/0.49 tff(a1009_type, type, ( % 0.19/0.49 a1009: $i)). % 0.19/0.49 tff(hskp20_type, type, ( % 0.19/0.49 hskp20: $o)). % 0.19/0.49 tff(hskp25_type, type, ( % 0.19/0.49 hskp25: $o)). % 0.19/0.49 tff(tptp_fun__i_val_3_type, type, ( % 0.19/0.49 tptp_fun__i_val_3: $i)). % 0.19/0.49 tff(a997_type, type, ( % 0.19/0.49 a997: $i)). % 0.19/0.49 tff(hskp18_type, type, ( % 0.19/0.49 hskp18: $o)). % 0.19/0.49 tff(tptp_fun__i_val_8_type, type, ( % 0.19/0.49 tptp_fun__i_val_8: $i)). % 0.19/0.49 tff(a1051_type, type, ( % 0.19/0.49 a1051: $i)). % 0.19/0.49 tff(tptp_fun__i_val_12_type, type, ( % 0.19/0.49 tptp_fun__i_val_12: $i)). % 0.19/0.49 tff(a1019_type, type, ( % 0.19/0.49 a1019: $i)). % 0.19/0.49 tff(hskp21_type, type, ( % 0.19/0.49 hskp21: $o)). % 0.19/0.49 tff(hskp28_type, type, ( % 0.19/0.49 hskp28: $o)). % 0.19/0.49 tff(hskp22_type, type, ( % 0.19/0.49 hskp22: $o)). % 0.19/0.49 tff(tptp_fun__i_val_1_type, type, ( % 0.19/0.49 tptp_fun__i_val_1: $i)). % 0.19/0.49 tff(a992_type, type, ( % 0.19/0.49 a992: $i)). % 0.19/0.49 tff(hskp23_type, type, ( % 0.19/0.49 hskp23: $o)). % 0.19/0.49 tff(hskp17_type, type, ( % 0.19/0.49 hskp17: $o)). % 0.19/0.49 tff(hskp16_type, type, ( % 0.19/0.49 hskp16: $o)). % 0.19/0.49 tff(k!0_type, type, ( % 0.19/0.49 k!0: $i > $i)). % 0.19/0.49 tff(c0_1_type, type, ( % 0.19/0.49 c0_1: $i > $o)). % 0.19/0.49 tff(c3_1_type, type, ( % 0.19/0.49 c3_1: $i > $o)). % 0.19/0.49 tff(c2_1_type, type, ( % 0.19/0.49 c2_1: $i > $o)). % 0.19/0.49 tff(c1_1_type, type, ( % 0.19/0.49 c1_1: $i > $o)). % 0.19/0.49 tff(formula1, axiom, % 0.19/0.49 a1008 = $i!val!5). % 0.19/0.49 tff(formula2, axiom, % 0.19/0.49 a1017 = $i!val!6). % 0.19/0.49 tff(formula3, axiom, % 0.19/0.49 hskp0 <=> $false). % 0.19/0.49 tff(formula4, axiom, % 0.19/0.49 hskp14 <=> $true). % 0.19/0.49 tff(formula5, axiom, % 0.19/0.49 a991 = $i!val!0). % 0.19/0.49 tff(formula6, axiom, % 0.19/0.49 hskp9 <=> $false). % 0.19/0.49 tff(formula7, axiom, % 0.19/0.49 a1025 = $i!val!7). % 0.19/0.49 tff(formula8, axiom, % 0.19/0.49 hskp8 <=> $false). % 0.19/0.49 tff(formula9, axiom, % 0.19/0.49 hskp15 <=> $false). % 0.19/0.49 tff(formula10, axiom, % 0.19/0.49 hskp2 <=> $false). % 0.19/0.49 tff(formula11, axiom, % 0.19/0.49 a1004 = $i!val!4). % 0.19/0.49 tff(formula12, axiom, % 0.19/0.49 hskp26 <=> $true). % 0.19/0.49 tff(formula13, axiom, % 0.19/0.49 hskp4 <=> $true). % 0.19/0.49 tff(formula14, axiom, % 0.19/0.49 a1059 = $i!val!10). % 0.19/0.49 tff(formula15, axiom, % 0.19/0.49 hskp29 <=> $false). % 0.19/0.49 tff(formula16, axiom, % 0.19/0.49 hskp1 <=> $false). % 0.19/0.49 tff(formula17, axiom, % 0.19/0.49 hskp27 <=> $true). % 0.19/0.49 tff(formula18, axiom, % 0.19/0.49 hskp11 <=> $false). % 0.19/0.49 tff(formula19, axiom, % 0.19/0.49 hskp12 <=> $true). % 0.19/0.49 tff(formula20, axiom, % 0.19/0.49 hskp24 <=> $false). % 0.19/0.49 tff(formula21, axiom, % 0.19/0.49 ndr1_0 <=> $true). % 0.19/0.49 tff(formula22, axiom, % 0.19/0.49 hskp13 <=> $false). % 0.19/0.49 tff(formula23, axiom, % 0.19/0.49 hskp7 <=> $false). % 0.19/0.49 tff(formula24, axiom, % 0.19/0.49 hskp3 <=> $false). % 0.19/0.49 tff(formula25, axiom, % 0.19/0.49 hskp5 <=> $false). % 0.19/0.49 tff(formula26, axiom, % 0.19/0.49 a995 = $i!val!2). % 0.19/0.49 tff(formula27, axiom, % 0.19/0.49 hskp6 <=> $true). % 0.19/0.49 tff(formula28, axiom, % 0.19/0.49 hskp10 <=> $false). % 0.19/0.49 tff(formula29, axiom, % 0.19/0.49 a1058 = $i!val!9). % 0.19/0.49 tff(formula30, axiom, % 0.19/0.49 hskp30 <=> $false). % 0.19/0.49 tff(formula31, axiom, % 0.19/0.49 hskp19 <=> $false). % 0.19/0.49 tff(formula32, axiom, % 0.19/0.49 a1009 = $i!val!11). % 0.19/0.49 tff(formula33, axiom, % 0.19/0.49 hskp20 <=> $true). % 0.19/0.49 tff(formula34, axiom, % 0.19/0.49 hskp25 <=> $true). % 0.19/0.49 tff(formula35, axiom, % 0.19/0.49 a997 = $i!val!3). % 0.19/0.49 tff(formula36, axiom, % 0.19/0.49 hskp18 <=> $false). % 0.19/0.49 tff(formula37, axiom, % 0.19/0.49 a1051 = $i!val!8). % 0.19/0.49 tff(formula38, axiom, % 0.19/0.49 a1019 = $i!val!12). % 0.19/0.49 tff(formula39, axiom, % 0.19/0.49 hskp21 <=> $false). % 0.19/0.49 tff(formula40, axiom, % 0.19/0.49 hskp28 <=> $true). % 0.19/0.49 tff(formula41, axiom, % 0.19/0.49 hskp22 <=> $false). % 0.19/0.49 tff(formula42, axiom, % 0.19/0.49 a992 = $i!val!1). % 0.19/0.49 tff(formula43, axiom, % 0.19/0.49 hskp23 <=> $false). % 0.19/0.49 tff(formula44, axiom, % 0.19/0.49 hskp17 <=> $false). % 0.19/0.49 tff(formula45, axiom, % 0.19/0.49 hskp16 <=> $false). % 0.19/0.49 tff(formula46, axiom, % 0.19/0.49 ![X0: $i] : (c0_1(X0) <=> ((k!0(X0) = $i!val!11) | (k!0(X0) = $i!val!2) | (k!0(X0) = $i!val!10) | (k!0(X0) = $i!val!9)))). % 0.19/0.49 tff(formula47, axiom, % 0.19/0.49 ![X0: $i] : (c3_1(X0) <=> ((~(k!0(X0) = $i!val!8)) & (~(k!0(X0) = $i!val!6)) & (~(k!0(X0) = $i!val!5)) & (~(k!0(X0) = $i!val!3)) & (~(k!0(X0) = $i!val!1)) & (~(k!0(X0) = $i!val!0))))). % 0.19/0.49 tff(formula48, axiom, % 0.19/0.49 ![X0: $i] : (c2_1(X0) <=> $true)). % 0.19/0.49 tff(formula49, axiom, % 0.19/0.49 k!0($i!val!6) = $i!val!6). % 0.19/0.49 tff(formula50, axiom, % 0.19/0.49 k!0($i!val!0) = $i!val!0). % 0.19/0.49 tff(formula51, axiom, % 0.19/0.49 k!0($i!val!3) = $i!val!3). % 0.19/0.49 tff(formula52, axiom, % 0.19/0.49 k!0($i!val!7) = $i!val!7). % 0.19/0.49 tff(formula53, axiom, % 0.19/0.49 k!0($i!val!8) = $i!val!8). % 0.19/0.49 tff(formula54, axiom, % 0.19/0.49 k!0($i!val!12) = $i!val!12). % 0.19/0.49 tff(formula55, axiom, % 0.19/0.49 k!0($i!val!9) = $i!val!9). % 0.19/0.49 tff(formula56, axiom, % 0.19/0.49 k!0($i!val!4) = $i!val!4). % 0.19/0.49 tff(formula57, axiom, % 0.19/0.49 k!0($i!val!2) = $i!val!2). % 0.19/0.49 tff(formula58, axiom, % 0.19/0.49 k!0($i!val!1) = $i!val!1). % 0.19/0.49 tff(formula59, axiom, % 0.19/0.49 k!0($i!val!10) = $i!val!10). % 0.19/0.49 tff(formula60, axiom, % 0.19/0.49 k!0($i!val!11) = $i!val!11). % 0.19/0.49 tff(formula61, axiom, % 0.19/0.49 ![X0: $i] : ((~((($i!val!6 = X0)) | (($i!val!0 = X0)) | (($i!val!3 = X0)) | (($i!val!7 = X0)) | (($i!val!8 = X0)) | (($i!val!12 = X0)) | (($i!val!9 = X0)) | (($i!val!4 = X0)) | (($i!val!2 = X0)) | (($i!val!1 = X0)) | (($i!val!10 = X0)) | (($i!val!11 = X0)))) => (k!0(X0) = $i!val!5))). % 0.19/0.49 tff(formula62, axiom, % 0.19/0.49 ![X0: $i] : (c1_1(X0) <=> ((k!0(X0) = $i!val!4) | (k!0(X0) = $i!val!12) | (k!0(X0) = $i!val!7)))). % 0.19/0.49 % SZS output end Model % 0.19/0.49 % E exiting %------------------------------------------------------------------------------