%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : SYN431+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 05:39:04 AM UTC 2025 % Result : CounterSatisfiable 0.12s 0.39s % Output : Model 0.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SYN431+1 : TPTP v9.0.0. Released v2.1.0. % 0.11/0.12 % Command : run_E %s %d THM % 0.12/0.32 % Computer : n010.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 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 300 % 0.12/0.33 % DateTime : Fri Jun 20 12:35:57 EDT 2025 % 0.12/0.33 % CPUTime : % 0.12/0.39 % SZS status CounterSatisfiable % 0.12/0.39 % SZS output start Model % 0.12/0.39 tff(tptp_fun__i_val_17_type, type, ( % 0.12/0.39 tptp_fun__i_val_17: $i)). % 0.12/0.39 tff(a152_type, type, ( % 0.12/0.39 a152: $i)). % 0.12/0.39 tff(tptp_fun__i_val_6_type, type, ( % 0.12/0.39 tptp_fun__i_val_6: $i)). % 0.12/0.39 tff(a145_type, type, ( % 0.12/0.39 a145: $i)). % 0.12/0.39 tff(hskp0_type, type, ( % 0.12/0.39 hskp0: $o)). % 0.12/0.39 tff(hskp14_type, type, ( % 0.12/0.39 hskp14: $o)). % 0.12/0.39 tff(tptp_fun__i_val_10_type, type, ( % 0.12/0.39 tptp_fun__i_val_10: $i)). % 0.12/0.39 tff(a160_type, type, ( % 0.12/0.39 a160: $i)). % 0.12/0.39 tff(hskp9_type, type, ( % 0.12/0.39 hskp9: $o)). % 0.12/0.39 tff(tptp_fun__i_val_4_type, type, ( % 0.12/0.39 tptp_fun__i_val_4: $i)). % 0.12/0.39 tff(a140_type, type, ( % 0.12/0.39 a140: $i)). % 0.12/0.39 tff(hskp15_type, type, ( % 0.12/0.39 hskp15: $o)). % 0.12/0.39 tff(hskp2_type, type, ( % 0.12/0.39 hskp2: $o)). % 0.12/0.39 tff(hskp26_type, type, ( % 0.12/0.39 hskp26: $o)). % 0.12/0.39 tff(hskp27_type, type, ( % 0.12/0.39 hskp27: $o)). % 0.12/0.39 tff(hskp11_type, type, ( % 0.12/0.39 hskp11: $o)). % 0.12/0.39 tff(hskp12_type, type, ( % 0.12/0.39 hskp12: $o)). % 0.12/0.39 tff(hskp24_type, type, ( % 0.12/0.39 hskp24: $o)). % 0.12/0.39 tff(ndr1_0_type, type, ( % 0.12/0.39 ndr1_0: $o)). % 0.12/0.39 tff(tptp_fun__i_val_3_type, type, ( % 0.12/0.39 tptp_fun__i_val_3: $i)). % 0.12/0.39 tff(a137_type, type, ( % 0.12/0.39 a137: $i)). % 0.12/0.39 tff(tptp_fun__i_val_7_type, type, ( % 0.12/0.39 tptp_fun__i_val_7: $i)). % 0.12/0.39 tff(a146_type, type, ( % 0.12/0.39 a146: $i)). % 0.12/0.39 tff(hskp7_type, type, ( % 0.12/0.39 hskp7: $o)). % 0.12/0.39 tff(hskp3_type, type, ( % 0.12/0.39 hskp3: $o)). % 0.12/0.39 tff(hskp5_type, type, ( % 0.12/0.39 hskp5: $o)). % 0.12/0.39 tff(tptp_fun__i_val_11_type, type, ( % 0.12/0.39 tptp_fun__i_val_11: $i)). % 0.12/0.39 tff(a161_type, type, ( % 0.12/0.39 a161: $i)). % 0.12/0.39 tff(hskp6_type, type, ( % 0.12/0.39 hskp6: $o)). % 0.12/0.39 tff(tptp_fun__i_val_13_type, type, ( % 0.12/0.39 tptp_fun__i_val_13: $i)). % 0.12/0.39 tff(a143_type, type, ( % 0.12/0.39 a143: $i)). % 0.12/0.39 tff(tptp_fun__i_val_5_type, type, ( % 0.12/0.39 tptp_fun__i_val_5: $i)). % 0.12/0.39 tff(a142_type, type, ( % 0.12/0.39 a142: $i)). % 0.12/0.39 tff(tptp_fun__i_val_1_type, type, ( % 0.12/0.39 tptp_fun__i_val_1: $i)). % 0.12/0.39 tff(a133_type, type, ( % 0.12/0.39 a133: $i)). % 0.12/0.39 tff(tptp_fun__i_val_15_type, type, ( % 0.12/0.39 tptp_fun__i_val_15: $i)). % 0.12/0.39 tff(a147_type, type, ( % 0.12/0.39 a147: $i)). % 0.12/0.39 tff(tptp_fun__i_val_19_type, type, ( % 0.12/0.39 tptp_fun__i_val_19: $i)). % 0.12/0.39 tff(a158_type, type, ( % 0.12/0.39 a158: $i)). % 0.12/0.39 tff(tptp_fun__i_val_0_type, type, ( % 0.12/0.39 tptp_fun__i_val_0: $i)). % 0.12/0.39 tff(a132_type, type, ( % 0.12/0.39 a132: $i)). % 0.12/0.39 tff(tptp_fun__i_val_18_type, type, ( % 0.12/0.39 tptp_fun__i_val_18: $i)). % 0.12/0.39 tff(a157_type, type, ( % 0.12/0.39 a157: $i)). % 0.12/0.39 tff(hskp19_type, type, ( % 0.12/0.39 hskp19: $o)). % 0.12/0.39 tff(tptp_fun__i_val_16_type, type, ( % 0.12/0.39 tptp_fun__i_val_16: $i)). % 0.12/0.39 tff(a149_type, type, ( % 0.12/0.39 a149: $i)). % 0.12/0.39 tff(hskp25_type, type, ( % 0.12/0.39 hskp25: $o)). % 0.12/0.39 tff(tptp_fun__i_val_9_type, type, ( % 0.12/0.39 tptp_fun__i_val_9: $i)). % 0.12/0.39 tff(a156_type, type, ( % 0.12/0.39 a156: $i)). % 0.12/0.39 tff(hskp18_type, type, ( % 0.12/0.39 hskp18: $o)). % 0.12/0.39 tff(tptp_fun__i_val_12_type, type, ( % 0.12/0.39 tptp_fun__i_val_12: $i)). % 0.12/0.39 tff(a134_type, type, ( % 0.12/0.39 a134: $i)). % 0.12/0.39 tff(tptp_fun__i_val_14_type, type, ( % 0.12/0.39 tptp_fun__i_val_14: $i)). % 0.12/0.39 tff(a144_type, type, ( % 0.12/0.39 a144: $i)). % 0.12/0.39 tff(hskp21_type, type, ( % 0.12/0.39 hskp21: $o)). % 0.12/0.39 tff(hskp23_type, type, ( % 0.12/0.39 hskp23: $o)). % 0.12/0.39 tff(hskp28_type, type, ( % 0.12/0.39 hskp28: $o)). % 0.12/0.39 tff(tptp_fun__i_val_8_type, type, ( % 0.12/0.39 tptp_fun__i_val_8: $i)). % 0.12/0.39 tff(a154_type, type, ( % 0.12/0.39 a154: $i)). % 0.12/0.39 tff(hskp22_type, type, ( % 0.12/0.39 hskp22: $o)). % 0.12/0.39 tff(tptp_fun__i_val_2_type, type, ( % 0.12/0.39 tptp_fun__i_val_2: $i)). % 0.12/0.39 tff(a136_type, type, ( % 0.12/0.39 a136: $i)). % 0.12/0.39 tff(hskp8_type, type, ( % 0.12/0.39 hskp8: $o)). % 0.12/0.39 tff(k!0_type, type, ( % 0.12/0.39 k!0: $i > $i)). % 0.12/0.39 tff(c0_1_type, type, ( % 0.12/0.39 c0_1: $i > $o)). % 0.12/0.39 tff(c3_1_type, type, ( % 0.12/0.39 c3_1: $i > $o)). % 0.12/0.39 tff(c2_1_type, type, ( % 0.12/0.39 c2_1: $i > $o)). % 0.12/0.39 tff(c1_1_type, type, ( % 0.12/0.39 c1_1: $i > $o)). % 0.12/0.39 tff(formula1, axiom, % 0.12/0.39 a152 = $i!val!17). % 0.12/0.39 tff(formula2, axiom, % 0.12/0.39 a145 = $i!val!6). % 0.12/0.39 tff(formula3, axiom, % 0.12/0.39 hskp0 <=> $true). % 0.12/0.39 tff(formula4, axiom, % 0.12/0.39 hskp14 <=> $false). % 0.12/0.39 tff(formula5, axiom, % 0.12/0.39 a160 = $i!val!10). % 0.12/0.39 tff(formula6, axiom, % 0.12/0.39 hskp9 <=> $true). % 0.12/0.39 tff(formula7, axiom, % 0.12/0.39 a140 = $i!val!4). % 0.12/0.39 tff(formula8, axiom, % 0.12/0.39 hskp15 <=> $true). % 0.12/0.39 tff(formula9, axiom, % 0.12/0.39 hskp2 <=> $false). % 0.12/0.39 tff(formula10, axiom, % 0.12/0.39 hskp26 <=> $false). % 0.12/0.39 tff(formula11, axiom, % 0.12/0.39 hskp27 <=> $false). % 0.12/0.39 tff(formula12, axiom, % 0.12/0.39 hskp11 <=> $false). % 0.12/0.39 tff(formula13, axiom, % 0.12/0.39 hskp12 <=> $true). % 0.12/0.39 tff(formula14, axiom, % 0.12/0.39 hskp24 <=> $false). % 0.12/0.39 tff(formula15, axiom, % 0.12/0.39 ndr1_0 <=> $true). % 0.12/0.39 tff(formula16, axiom, % 0.12/0.39 a137 = $i!val!3). % 0.12/0.39 tff(formula17, axiom, % 0.12/0.39 a146 = $i!val!7). % 0.12/0.39 tff(formula18, axiom, % 0.12/0.39 hskp7 <=> $false). % 0.12/0.39 tff(formula19, axiom, % 0.12/0.39 hskp3 <=> $true). % 0.12/0.39 tff(formula20, axiom, % 0.12/0.39 hskp5 <=> $false). % 0.12/0.39 tff(formula21, axiom, % 0.12/0.39 a161 = $i!val!11). % 0.12/0.39 tff(formula22, axiom, % 0.12/0.39 hskp6 <=> $true). % 0.12/0.39 tff(formula23, axiom, % 0.12/0.39 a143 = $i!val!13). % 0.12/0.39 tff(formula24, axiom, % 0.12/0.39 a142 = $i!val!5). % 0.12/0.39 tff(formula25, axiom, % 0.12/0.39 a133 = $i!val!1). % 0.12/0.39 tff(formula26, axiom, % 0.12/0.39 a147 = $i!val!15). % 0.12/0.39 tff(formula27, axiom, % 0.12/0.39 a158 = $i!val!19). % 0.12/0.39 tff(formula28, axiom, % 0.12/0.39 a132 = $i!val!0). % 0.12/0.39 tff(formula29, axiom, % 0.12/0.39 a157 = $i!val!18). % 0.12/0.39 tff(formula30, axiom, % 0.12/0.39 hskp19 <=> $true). % 0.12/0.39 tff(formula31, axiom, % 0.12/0.39 a149 = $i!val!16). % 0.12/0.39 tff(formula32, axiom, % 0.12/0.39 hskp25 <=> $true). % 0.12/0.39 tff(formula33, axiom, % 0.12/0.39 a156 = $i!val!9). % 0.12/0.39 tff(formula34, axiom, % 0.12/0.39 hskp18 <=> $false). % 0.12/0.39 tff(formula35, axiom, % 0.12/0.39 a134 = $i!val!12). % 0.12/0.39 tff(formula36, axiom, % 0.12/0.39 a144 = $i!val!14). % 0.12/0.39 tff(formula37, axiom, % 0.12/0.39 hskp21 <=> $true). % 0.12/0.39 tff(formula38, axiom, % 0.12/0.39 hskp23 <=> $true). % 0.12/0.39 tff(formula39, axiom, % 0.12/0.39 hskp28 <=> $true). % 0.12/0.39 tff(formula40, axiom, % 0.12/0.39 a154 = $i!val!8). % 0.12/0.39 tff(formula41, axiom, % 0.12/0.39 hskp22 <=> $false). % 0.12/0.39 tff(formula42, axiom, % 0.12/0.39 a136 = $i!val!2). % 0.12/0.39 tff(formula43, axiom, % 0.12/0.39 hskp8 <=> $true). % 0.12/0.39 tff(formula44, axiom, % 0.12/0.39 ![X0: $i] : (c0_1(X0) <=> ((k!0(X0) = $i!val!4) | (k!0(X0) = $i!val!13) | (k!0(X0) = $i!val!3) | (k!0(X0) = $i!val!12) | (k!0(X0) = $i!val!16) | (k!0(X0) = $i!val!7) | (k!0(X0) = $i!val!11)))). % 0.12/0.39 tff(formula45, axiom, % 0.12/0.39 ![X0: $i] : (c3_1(X0) <=> ((k!0(X0) = $i!val!17) | (k!0(X0) = $i!val!3) | (k!0(X0) = $i!val!15) | (k!0(X0) = $i!val!5) | (k!0(X0) = $i!val!14)))). % 0.12/0.39 tff(formula46, axiom, % 0.12/0.39 ![X0: $i] : (c2_1(X0) <=> ((~(k!0(X0) = $i!val!18)) & (~(k!0(X0) = $i!val!10)) & (~(k!0(X0) = $i!val!8)) & (~(k!0(X0) = $i!val!7)) & (~(k!0(X0) = $i!val!6)) & (~(k!0(X0) = $i!val!3))))). % 0.12/0.39 tff(formula47, axiom, % 0.12/0.39 k!0($i!val!1) = $i!val!1). % 0.12/0.39 tff(formula48, axiom, % 0.12/0.39 k!0($i!val!15) = $i!val!15). % 0.12/0.39 tff(formula49, axiom, % 0.12/0.39 k!0($i!val!19) = $i!val!19). % 0.12/0.39 tff(formula50, axiom, % 0.12/0.39 k!0($i!val!0) = $i!val!0). % 0.12/0.39 tff(formula51, axiom, % 0.12/0.39 k!0($i!val!10) = $i!val!10). % 0.12/0.39 tff(formula52, axiom, % 0.12/0.39 k!0($i!val!4) = $i!val!4). % 0.12/0.39 tff(formula53, axiom, % 0.12/0.39 k!0($i!val!18) = $i!val!18). % 0.12/0.39 tff(formula54, axiom, % 0.12/0.39 k!0($i!val!16) = $i!val!16). % 0.12/0.39 tff(formula55, axiom, % 0.12/0.39 k!0($i!val!3) = $i!val!3). % 0.12/0.39 tff(formula56, axiom, % 0.12/0.39 k!0($i!val!9) = $i!val!9). % 0.12/0.39 tff(formula57, axiom, % 0.12/0.39 k!0($i!val!12) = $i!val!12). % 0.12/0.39 tff(formula58, axiom, % 0.12/0.39 k!0($i!val!11) = $i!val!11). % 0.12/0.39 tff(formula59, axiom, % 0.12/0.39 k!0($i!val!14) = $i!val!14). % 0.12/0.39 tff(formula60, axiom, % 0.12/0.39 k!0($i!val!7) = $i!val!7). % 0.12/0.39 tff(formula61, axiom, % 0.12/0.39 k!0($i!val!13) = $i!val!13). % 0.12/0.39 tff(formula62, axiom, % 0.12/0.39 k!0($i!val!2) = $i!val!2). % 0.12/0.39 tff(formula63, axiom, % 0.12/0.39 k!0($i!val!6) = $i!val!6). % 0.12/0.39 tff(formula64, axiom, % 0.12/0.39 k!0($i!val!8) = $i!val!8). % 0.12/0.39 tff(formula65, axiom, % 0.12/0.39 k!0($i!val!5) = $i!val!5). % 0.12/0.39 tff(formula66, axiom, % 0.12/0.39 ![X0: $i] : ((~((($i!val!1 = X0)) | (($i!val!15 = X0)) | (($i!val!19 = X0)) | (($i!val!0 = X0)) | (($i!val!10 = X0)) | (($i!val!4 = X0)) | (($i!val!18 = X0)) | (($i!val!16 = X0)) | (($i!val!3 = X0)) | (($i!val!9 = X0)) | (($i!val!12 = X0)) | (($i!val!11 = X0)) | (($i!val!14 = X0)) | (($i!val!7 = X0)) | (($i!val!13 = X0)) | (($i!val!2 = X0)) | (($i!val!6 = X0)) | (($i!val!8 = X0)) | (($i!val!5 = X0)))) => (k!0(X0) = $i!val!17))). % 0.12/0.39 tff(formula67, axiom, % 0.12/0.39 ![X0: $i] : (c1_1(X0) <=> ((~(k!0(X0) = $i!val!6)) & (~(k!0(X0) = $i!val!18)) & (~(k!0(X0) = $i!val!11)) & (~(k!0(X0) = $i!val!10)) & (~(k!0(X0) = $i!val!8)) & (~(k!0(X0) = $i!val!7)) & (~(k!0(X0) = $i!val!1)) & (~(k!0(X0) = $i!val!0))))). % 0.12/0.39 % SZS output end Model % 0.12/0.39 % E exiting %------------------------------------------------------------------------------