%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : SYN529-1 : TPTP v9.0.0. Released v2.1.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n003.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 05:39:29 AM UTC 2025 % Result : Satisfiable 0.20s 0.41s % Output : Model 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.12 % Problem : SYN529-1 : TPTP v9.0.0. Released v2.1.0. % 0.04/0.12 % Command : run_E %s %d THM % 0.13/0.33 % Computer : n003.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 300 % 0.13/0.33 % DateTime : Fri Jun 20 12:37:39 EDT 2025 % 0.13/0.34 % CPUTime : % 0.20/0.41 % SZS status Satisfiable % 0.20/0.41 % SZS output start Model % 0.20/0.41 tff(tptp_fun__i_val_27_type, type, ( % 0.20/0.41 tptp_fun__i_val_27: $i)). % 0.20/0.41 tff(a330_type, type, ( % 0.20/0.41 a330: $i)). % 0.20/0.41 tff(ssSkC4_type, type, ( % 0.20/0.41 ssSkC4: $o)). % 0.20/0.41 tff(tptp_fun__i_val_19_type, type, ( % 0.20/0.41 tptp_fun__i_val_19: $i)). % 0.20/0.41 tff(a341_type, type, ( % 0.20/0.41 a341: $i)). % 0.20/0.41 tff(tptp_fun__i_val_29_type, type, ( % 0.20/0.41 tptp_fun__i_val_29: $i)). % 0.20/0.41 tff(a334_type, type, ( % 0.20/0.41 a334: $i)). % 0.20/0.41 tff(ssSkC1_type, type, ( % 0.20/0.41 ssSkC1: $o)). % 0.20/0.41 tff(tptp_fun__i_val_21_type, type, ( % 0.20/0.41 tptp_fun__i_val_21: $i)). % 0.20/0.41 tff(a337_type, type, ( % 0.20/0.41 a337: $i)). % 0.20/0.41 tff(tptp_fun__i_val_9_type, type, ( % 0.20/0.41 tptp_fun__i_val_9: $i)). % 0.20/0.41 tff(a346_type, type, ( % 0.20/0.41 a346: $i)). % 0.20/0.41 tff(a324_type, type, ( % 0.20/0.41 a324: $i)). % 0.20/0.41 tff(tptp_fun__i_val_5_type, type, ( % 0.20/0.41 tptp_fun__i_val_5: $i)). % 0.20/0.41 tff(a331_type, type, ( % 0.20/0.41 a331: $i)). % 0.20/0.41 tff(tptp_fun__i_val_7_type, type, ( % 0.20/0.41 tptp_fun__i_val_7: $i)). % 0.20/0.41 tff(a316_type, type, ( % 0.20/0.41 a316: $i)). % 0.20/0.41 tff(c1_0_type, type, ( % 0.20/0.41 c1_0: $o)). % 0.20/0.41 tff(tptp_fun__i_val_28_type, type, ( % 0.20/0.41 tptp_fun__i_val_28: $i)). % 0.20/0.41 tff(a320_type, type, ( % 0.20/0.41 a320: $i)). % 0.20/0.41 tff(tptp_fun__i_val_12_type, type, ( % 0.20/0.41 tptp_fun__i_val_12: $i)). % 0.20/0.41 tff(a326_type, type, ( % 0.20/0.41 a326: $i)). % 0.20/0.41 tff(tptp_fun__i_val_2_type, type, ( % 0.20/0.41 tptp_fun__i_val_2: $i)). % 0.20/0.41 tff(a348_type, type, ( % 0.20/0.41 a348: $i)). % 0.20/0.41 tff(tptp_fun__i_val_13_type, type, ( % 0.20/0.41 tptp_fun__i_val_13: $i)). % 0.20/0.41 tff(a322_type, type, ( % 0.20/0.41 a322: $i)). % 0.20/0.41 tff(tptp_fun__i_val_15_type, type, ( % 0.20/0.41 tptp_fun__i_val_15: $i)). % 0.20/0.41 tff(a349_type, type, ( % 0.20/0.41 a349: $i)). % 0.20/0.41 tff(tptp_fun__i_val_16_type, type, ( % 0.20/0.41 tptp_fun__i_val_16: $i)). % 0.20/0.41 tff(a345_type, type, ( % 0.20/0.41 a345: $i)). % 0.20/0.41 tff(tptp_fun__i_val_18_type, type, ( % 0.20/0.41 tptp_fun__i_val_18: $i)). % 0.20/0.41 tff(a332_type, type, ( % 0.20/0.41 a332: $i)). % 0.20/0.41 tff(ssSkC2_type, type, ( % 0.20/0.41 ssSkC2: $o)). % 0.20/0.41 tff(a340_type, type, ( % 0.20/0.41 a340: $i)). % 0.20/0.41 tff(c4_0_type, type, ( % 0.20/0.41 c4_0: $o)). % 0.20/0.41 tff(tptp_fun__i_val_23_type, type, ( % 0.20/0.41 tptp_fun__i_val_23: $i)). % 0.20/0.41 tff(a323_type, type, ( % 0.20/0.41 a323: $i)). % 0.20/0.41 tff(tptp_fun__i_val_0_type, type, ( % 0.20/0.41 tptp_fun__i_val_0: $i)). % 0.20/0.41 tff(a343_type, type, ( % 0.20/0.41 a343: $i)). % 0.20/0.41 tff(tptp_fun__i_val_14_type, type, ( % 0.20/0.41 tptp_fun__i_val_14: $i)). % 0.20/0.41 tff(a352_type, type, ( % 0.20/0.41 a352: $i)). % 0.20/0.41 tff(a353_type, type, ( % 0.20/0.41 a353: $i)). % 0.20/0.41 tff(ssSkC3_type, type, ( % 0.20/0.41 ssSkC3: $o)). % 0.20/0.41 tff(tptp_fun__i_val_17_type, type, ( % 0.20/0.41 tptp_fun__i_val_17: $i)). % 0.20/0.41 tff(a339_type, type, ( % 0.20/0.41 a339: $i)). % 0.20/0.41 tff(c2_0_type, type, ( % 0.20/0.41 c2_0: $o)). % 0.20/0.41 tff(tptp_fun__i_val_11_type, type, ( % 0.20/0.41 tptp_fun__i_val_11: $i)). % 0.20/0.41 tff(a329_type, type, ( % 0.20/0.41 a329: $i)). % 0.20/0.41 tff(a314_type, type, ( % 0.20/0.41 a314: $i)). % 0.20/0.41 tff(tptp_fun__i_val_26_type, type, ( % 0.20/0.41 tptp_fun__i_val_26: $i)). % 0.20/0.41 tff(a333_type, type, ( % 0.20/0.41 a333: $i)). % 0.20/0.41 tff(a342_type, type, ( % 0.20/0.41 a342: $i)). % 0.20/0.41 tff(tptp_fun__i_val_10_type, type, ( % 0.20/0.41 tptp_fun__i_val_10: $i)). % 0.20/0.41 tff(a315_type, type, ( % 0.20/0.41 a315: $i)). % 0.20/0.41 tff(ssSkC5_type, type, ( % 0.20/0.41 ssSkC5: $o)). % 0.20/0.41 tff(ssSkC0_type, type, ( % 0.20/0.41 ssSkC0: $o)). % 0.20/0.41 tff(ndr1_0_type, type, ( % 0.20/0.41 ndr1_0: $o)). % 0.20/0.41 tff(c3_0_type, type, ( % 0.20/0.41 c3_0: $o)). % 0.20/0.41 tff(a350_type, type, ( % 0.20/0.41 a350: $i)). % 0.20/0.41 tff(ssSkC7_type, type, ( % 0.20/0.41 ssSkC7: $o)). % 0.20/0.41 tff(tptp_fun__i_val_24_type, type, ( % 0.20/0.41 tptp_fun__i_val_24: $i)). % 0.20/0.41 tff(a318_type, type, ( % 0.20/0.41 a318: $i)). % 0.20/0.41 tff(ssSkC8_type, type, ( % 0.20/0.41 ssSkC8: $o)). % 0.20/0.41 tff(tptp_fun__i_val_3_type, type, ( % 0.20/0.41 tptp_fun__i_val_3: $i)). % 0.20/0.41 tff(a344_type, type, ( % 0.20/0.41 a344: $i)). % 0.20/0.41 tff(tptp_fun__i_val_6_type, type, ( % 0.20/0.41 tptp_fun__i_val_6: $i)). % 0.20/0.41 tff(a328_type, type, ( % 0.20/0.41 a328: $i)). % 0.20/0.41 tff(ssSkC6_type, type, ( % 0.20/0.41 ssSkC6: $o)). % 0.20/0.41 tff(a335_type, type, ( % 0.20/0.41 a335: $i)). % 0.20/0.41 tff(a321_type, type, ( % 0.20/0.41 a321: $i)). % 0.20/0.41 tff(tptp_fun__i_val_22_type, type, ( % 0.20/0.41 tptp_fun__i_val_22: $i)). % 0.20/0.41 tff(a327_type, type, ( % 0.20/0.41 a327: $i)). % 0.20/0.41 tff(a317_type, type, ( % 0.20/0.41 a317: $i)). % 0.20/0.41 tff(c5_0_type, type, ( % 0.20/0.41 c5_0: $o)). % 0.20/0.41 tff(tptp_fun__i_val_1_type, type, ( % 0.20/0.41 tptp_fun__i_val_1: $i)). % 0.20/0.41 tff(a351_type, type, ( % 0.20/0.41 a351: $i)). % 0.20/0.41 tff(tptp_fun__i_val_4_type, type, ( % 0.20/0.41 tptp_fun__i_val_4: $i)). % 0.20/0.41 tff(a338_type, type, ( % 0.20/0.41 a338: $i)). % 0.20/0.41 tff(tptp_fun__i_val_25_type, type, ( % 0.20/0.41 tptp_fun__i_val_25: $i)). % 0.20/0.41 tff(a356_type, type, ( % 0.20/0.41 a356: $i)). % 0.20/0.41 tff(tptp_fun__i_val_20_type, type, ( % 0.20/0.41 tptp_fun__i_val_20: $i)). % 0.20/0.41 tff(a347_type, type, ( % 0.20/0.41 a347: $i)). % 0.20/0.41 tff(tptp_fun__i_val_8_type, type, ( % 0.20/0.41 tptp_fun__i_val_8: $i)). % 0.20/0.41 tff(a355_type, type, ( % 0.20/0.41 a355: $i)). % 0.20/0.41 tff(k!0_type, type, ( % 0.20/0.41 k!0: $i > $i)). % 0.20/0.41 tff(ndr1_1_type, type, ( % 0.20/0.41 ndr1_1: $i > $o)). % 0.20/0.41 tff(c3_2_type, type, ( % 0.20/0.41 c3_2: ( $i * $i ) > $o)). % 0.20/0.41 tff(k!1_type, type, ( % 0.20/0.41 k!1: $i > $i)). % 0.20/0.41 tff(c4_2_type, type, ( % 0.20/0.41 c4_2: ( $i * $i ) > $o)). % 0.20/0.41 tff(c5_1_type, type, ( % 0.20/0.41 c5_1: $i > $o)). % 0.20/0.41 tff(ssSkP0_type, type, ( % 0.20/0.41 ssSkP0: $i > $o)). % 0.20/0.41 tff(c5_2_type, type, ( % 0.20/0.41 c5_2: ( $i * $i ) > $o)). % 0.20/0.41 tff(c2_1_type, type, ( % 0.20/0.41 c2_1: $i > $o)). % 0.20/0.41 tff(c3_1_type, type, ( % 0.20/0.41 c3_1: $i > $o)). % 0.20/0.41 tff(c2_2_type, type, ( % 0.20/0.41 c2_2: ( $i * $i ) > $o)). % 0.20/0.41 tff(c4_1_type, type, ( % 0.20/0.41 c4_1: $i > $o)). % 0.20/0.41 tff(c1_2_type, type, ( % 0.20/0.41 c1_2: ( $i * $i ) > $o)). % 0.20/0.41 tff(c1_1_type, type, ( % 0.20/0.41 c1_1: $i > $o)). % 0.20/0.41 tff(formula1, axiom, % 0.20/0.41 a330 = $i!val!27). % 0.20/0.41 tff(formula2, axiom, % 0.20/0.41 ssSkC4 <=> $true). % 0.20/0.41 tff(formula3, axiom, % 0.20/0.41 a341 = $i!val!19). % 0.20/0.41 tff(formula4, axiom, % 0.20/0.41 a334 = $i!val!29). % 0.20/0.41 tff(formula5, axiom, % 0.20/0.41 ssSkC1 <=> $false). % 0.20/0.41 tff(formula6, axiom, % 0.20/0.41 a337 = $i!val!21). % 0.20/0.41 tff(formula7, axiom, % 0.20/0.41 a346 = $i!val!9). % 0.20/0.41 tff(formula8, axiom, % 0.20/0.41 a324 = $i!val!27). % 0.20/0.41 tff(formula9, axiom, % 0.20/0.41 a331 = $i!val!5). % 0.20/0.41 tff(formula10, axiom, % 0.20/0.41 a316 = $i!val!7). % 0.20/0.41 tff(formula11, axiom, % 0.20/0.41 c1_0 <=> $false). % 0.20/0.41 tff(formula12, axiom, % 0.20/0.41 a320 = $i!val!28). % 0.20/0.41 tff(formula13, axiom, % 0.20/0.41 a326 = $i!val!12). % 0.20/0.41 tff(formula14, axiom, % 0.20/0.41 a348 = $i!val!2). % 0.20/0.41 tff(formula15, axiom, % 0.20/0.41 a322 = $i!val!13). % 0.20/0.41 tff(formula16, axiom, % 0.20/0.41 a349 = $i!val!15). % 0.20/0.41 tff(formula17, axiom, % 0.20/0.41 a345 = $i!val!16). % 0.20/0.41 tff(formula18, axiom, % 0.20/0.41 a332 = $i!val!18). % 0.20/0.41 tff(formula19, axiom, % 0.20/0.41 ssSkC2 <=> $true). % 0.20/0.41 tff(formula20, axiom, % 0.20/0.41 a340 = $i!val!29). % 0.20/0.41 tff(formula21, axiom, % 0.20/0.41 c4_0 <=> $false). % 0.20/0.41 tff(formula22, axiom, % 0.20/0.41 a323 = $i!val!23). % 0.20/0.41 tff(formula23, axiom, % 0.20/0.41 a343 = $i!val!0). % 0.20/0.41 tff(formula24, axiom, % 0.20/0.41 a352 = $i!val!14). % 0.20/0.41 tff(formula25, axiom, % 0.20/0.41 a353 = $i!val!27). % 0.20/0.41 tff(formula26, axiom, % 0.20/0.41 ssSkC3 <=> $false). % 0.20/0.41 tff(formula27, axiom, % 0.20/0.41 a339 = $i!val!17). % 0.20/0.41 tff(formula28, axiom, % 0.20/0.41 c2_0 <=> $true). % 0.20/0.41 tff(formula29, axiom, % 0.20/0.41 a329 = $i!val!11). % 0.20/0.41 tff(formula30, axiom, % 0.20/0.41 a314 = $i!val!19). % 0.20/0.41 tff(formula31, axiom, % 0.20/0.41 a333 = $i!val!26). % 0.20/0.41 tff(formula32, axiom, % 0.20/0.41 a342 = $i!val!0). % 0.20/0.41 tff(formula33, axiom, % 0.20/0.41 a315 = $i!val!10). % 0.20/0.41 tff(formula34, axiom, % 0.20/0.41 ssSkC5 <=> $true). % 0.20/0.41 tff(formula35, axiom, % 0.20/0.41 ssSkC0 <=> $true). % 0.20/0.41 tff(formula36, axiom, % 0.20/0.41 ndr1_0 <=> $true). % 0.20/0.41 tff(formula37, axiom, % 0.20/0.41 c3_0 <=> $false). % 0.20/0.41 tff(formula38, axiom, % 0.20/0.41 a350 = $i!val!28). % 0.20/0.41 tff(formula39, axiom, % 0.20/0.41 ssSkC7 <=> $true). % 0.20/0.41 tff(formula40, axiom, % 0.20/0.41 a318 = $i!val!24). % 0.20/0.41 tff(formula41, axiom, % 0.20/0.41 ssSkC8 <=> $false). % 0.20/0.41 tff(formula42, axiom, % 0.20/0.41 a344 = $i!val!3). % 0.20/0.41 tff(formula43, axiom, % 0.20/0.41 a328 = $i!val!6). % 0.20/0.41 tff(formula44, axiom, % 0.20/0.41 ssSkC6 <=> $true). % 0.20/0.41 tff(formula45, axiom, % 0.20/0.41 a335 = $i!val!10). % 0.20/0.41 tff(formula46, axiom, % 0.20/0.41 a321 = $i!val!10). % 0.20/0.41 tff(formula47, axiom, % 0.20/0.41 a327 = $i!val!22). % 0.20/0.41 tff(formula48, axiom, % 0.20/0.41 a317 = $i!val!19). % 0.20/0.41 tff(formula49, axiom, % 0.20/0.41 c5_0 <=> $true). % 0.20/0.41 tff(formula50, axiom, % 0.20/0.41 a351 = $i!val!1). % 0.20/0.41 tff(formula51, axiom, % 0.20/0.41 a338 = $i!val!4). % 0.20/0.41 tff(formula52, axiom, % 0.20/0.41 a356 = $i!val!25). % 0.20/0.41 tff(formula53, axiom, % 0.20/0.41 a347 = $i!val!20). % 0.20/0.41 tff(formula54, axiom, % 0.20/0.41 a355 = $i!val!8). % 0.20/0.41 tff(formula55, axiom, % 0.20/0.41 ![X0: $i] : (ndr1_1(X0) <=> ((k!0(X0) = $i!val!5) | (k!0(X0) = $i!val!1)))). % 0.20/0.41 tff(formula56, axiom, % 0.20/0.41 ![X0: $i, X1: $i] : (c3_2(X0, X1) <=> $false)). % 0.20/0.41 tff(formula57, axiom, % 0.20/0.41 k!0($i!val!10) = $i!val!10). % 0.20/0.41 tff(formula58, axiom, % 0.20/0.41 k!0($i!val!6) = $i!val!6). % 0.20/0.41 tff(formula59, axiom, % 0.20/0.41 k!0($i!val!0) = $i!val!0). % 0.20/0.41 tff(formula60, axiom, % 0.20/0.41 k!0($i!val!11) = $i!val!11). % 0.20/0.41 tff(formula61, axiom, % 0.20/0.41 k!0($i!val!12) = $i!val!12). % 0.20/0.41 tff(formula62, axiom, % 0.20/0.41 k!0($i!val!26) = $i!val!26). % 0.20/0.41 tff(formula63, axiom, % 0.20/0.41 k!0($i!val!2) = $i!val!2). % 0.20/0.41 tff(formula64, axiom, % 0.20/0.41 k!0($i!val!13) = $i!val!13). % 0.20/0.41 tff(formula65, axiom, % 0.20/0.41 k!0($i!val!1) = $i!val!1). % 0.20/0.41 tff(formula66, axiom, % 0.20/0.41 k!0($i!val!4) = $i!val!4). % 0.20/0.41 tff(formula67, axiom, % 0.20/0.41 k!0($i!val!9) = $i!val!9). % 0.20/0.41 tff(formula68, axiom, % 0.20/0.41 k!0($i!val!5) = $i!val!5). % 0.20/0.41 tff(formula69, axiom, % 0.20/0.41 k!0($i!val!24) = $i!val!24). % 0.20/0.41 tff(formula70, axiom, % 0.20/0.41 k!0($i!val!7) = $i!val!7). % 0.20/0.41 tff(formula71, axiom, % 0.20/0.41 k!0($i!val!8) = $i!val!8). % 0.20/0.41 tff(formula72, axiom, % 0.20/0.41 ![X0: $i] : ((~((($i!val!10 = X0)) | (($i!val!6 = X0)) | (($i!val!0 = X0)) | (($i!val!11 = X0)) | (($i!val!12 = X0)) | (($i!val!26 = X0)) | (($i!val!2 = X0)) | (($i!val!13 = X0)) | (($i!val!1 = X0)) | (($i!val!4 = X0)) | (($i!val!9 = X0)) | (($i!val!5 = X0)) | (($i!val!24 = X0)) | (($i!val!7 = X0)) | (($i!val!8 = X0)))) => (k!0(X0) = $i!val!3))). % 0.20/0.42 tff(formula73, axiom, % 0.20/0.42 ![X0: $i, X1: $i] : (c4_2(X0, X1) <=> ((k!0(X1) = $i!val!5) & (k!1(X0) = $i!val!29)))). % 0.20/0.42 tff(formula74, axiom, % 0.20/0.42 ![X0: $i] : (c5_1(X0) <=> $true)). % 0.20/0.42 tff(formula75, axiom, % 0.20/0.42 ![X0: $i] : (ssSkP0(X0) <=> $true)). % 0.20/0.42 tff(formula76, axiom, % 0.20/0.42 ![X0: $i, X1: $i] : (c5_2(X0, X1) <=> $false)). % 0.20/0.42 tff(formula77, axiom, % 0.20/0.42 ![X0: $i] : (c2_1(X0) <=> (k!0(X0) = $i!val!0))). % 0.20/0.42 tff(formula78, axiom, % 0.20/0.42 ![X0: $i] : (c3_1(X0) <=> ((k!0(X0) = $i!val!10) | (k!0(X0) = $i!val!12)))). % 0.20/0.42 tff(formula79, axiom, % 0.20/0.42 ![X0: $i, X1: $i] : (c2_2(X0, X1) <=> (((k!0(X1) = $i!val!1) & (k!1(X0) = $i!val!14)) | ((k!0(X1) = $i!val!5) & (k!1(X0) = $i!val!29))))). % 0.20/0.42 tff(formula80, axiom, % 0.20/0.42 k!1($i!val!27) = $i!val!27). % 0.20/0.42 tff(formula81, axiom, % 0.20/0.42 k!1($i!val!22) = $i!val!22). % 0.20/0.42 tff(formula82, axiom, % 0.20/0.42 k!1($i!val!17) = $i!val!17). % 0.20/0.42 tff(formula83, axiom, % 0.20/0.42 k!1($i!val!19) = $i!val!19). % 0.20/0.42 tff(formula84, axiom, % 0.20/0.42 k!1($i!val!28) = $i!val!28). % 0.20/0.42 tff(formula85, axiom, % 0.20/0.42 k!1($i!val!29) = $i!val!29). % 0.20/0.42 tff(formula86, axiom, % 0.20/0.42 k!1($i!val!15) = $i!val!15). % 0.20/0.42 tff(formula87, axiom, % 0.20/0.42 k!1($i!val!16) = $i!val!16). % 0.20/0.42 tff(formula88, axiom, % 0.20/0.42 k!1($i!val!18) = $i!val!18). % 0.20/0.42 tff(formula89, axiom, % 0.20/0.42 k!1($i!val!21) = $i!val!21). % 0.20/0.42 tff(formula90, axiom, % 0.20/0.42 k!1($i!val!25) = $i!val!25). % 0.20/0.42 tff(formula91, axiom, % 0.20/0.42 k!1($i!val!20) = $i!val!20). % 0.20/0.42 tff(formula92, axiom, % 0.20/0.42 k!1($i!val!23) = $i!val!23). % 0.20/0.42 tff(formula93, axiom, % 0.20/0.42 ![X0: $i] : ((~((($i!val!27 = X0)) | (($i!val!22 = X0)) | (($i!val!17 = X0)) | (($i!val!19 = X0)) | (($i!val!28 = X0)) | (($i!val!29 = X0)) | (($i!val!15 = X0)) | (($i!val!16 = X0)) | (($i!val!18 = X0)) | (($i!val!21 = X0)) | (($i!val!25 = X0)) | (($i!val!20 = X0)) | (($i!val!23 = X0)))) => (k!1(X0) = $i!val!14))). % 0.20/0.42 tff(formula94, axiom, % 0.20/0.42 ![X0: $i] : (c4_1(X0) <=> (k!0(X0) = $i!val!1))). % 0.20/0.42 tff(formula95, axiom, % 0.20/0.42 ![X0: $i, X1: $i] : (c1_2(X0, X1) <=> $false)). % 0.20/0.42 tff(formula96, axiom, % 0.20/0.42 ![X0: $i] : (c1_1(X0) <=> $false)). % 0.20/0.42 % SZS output end Model % 0.20/0.42 % E exiting %------------------------------------------------------------------------------