%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : SYN421+1 : TPTP v9.0.0. Released v2.1.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n015.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 05:39:02 AM UTC 2025 % Result : CounterSatisfiable 0.98s 1.15s % Output : Model 0.98s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SYN421+1 : TPTP v9.0.0. Released v2.1.0. % 0.03/0.12 % Command : run_E %s %d THM % 0.12/0.34 % Computer : n015.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 12:34:11 EDT 2025 % 0.12/0.34 % CPUTime : % 0.98/1.15 % SZS status CounterSatisfiable % 0.98/1.15 % SZS output start Model % 0.98/1.15 tff(tptp_fun__i_val_9_type, type, ( % 0.98/1.15 tptp_fun__i_val_9: $i)). % 0.98/1.15 tff(a495_type, type, ( % 0.98/1.15 a495: $i)). % 0.98/1.15 tff(c9_0_type, type, ( % 0.98/1.15 c9_0: $o)). % 0.98/1.15 tff(tptp_fun__i_val_25_type, type, ( % 0.98/1.15 tptp_fun__i_val_25: $i)). % 0.98/1.15 tff(a572_type, type, ( % 0.98/1.15 a572: $i)). % 0.98/1.15 tff(tptp_fun__i_val_27_type, type, ( % 0.98/1.15 tptp_fun__i_val_27: $i)). % 0.98/1.15 tff(a585_type, type, ( % 0.98/1.15 a585: $i)). % 0.98/1.15 tff(c7_0_type, type, ( % 0.98/1.15 c7_0: $o)). % 0.98/1.15 tff(tptp_fun__i_val_1_type, type, ( % 0.98/1.15 tptp_fun__i_val_1: $i)). % 0.98/1.15 tff(a467_type, type, ( % 0.98/1.15 a467: $i)). % 0.98/1.15 tff(tptp_fun__i_val_14_type, type, ( % 0.98/1.15 tptp_fun__i_val_14: $i)). % 0.98/1.15 tff(a516_type, type, ( % 0.98/1.15 a516: $i)). % 0.98/1.15 tff(tptp_fun__i_val_38_type, type, ( % 0.98/1.15 tptp_fun__i_val_38: $i)). % 0.98/1.15 tff(a574_type, type, ( % 0.98/1.15 a574: $i)). % 0.98/1.15 tff(c8_0_type, type, ( % 0.98/1.15 c8_0: $o)). % 0.98/1.15 tff(tptp_fun__i_val_3_type, type, ( % 0.98/1.15 tptp_fun__i_val_3: $i)). % 0.98/1.15 tff(a469_type, type, ( % 0.98/1.15 a469: $i)). % 0.98/1.15 tff(tptp_fun__i_val_36_type, type, ( % 0.98/1.15 tptp_fun__i_val_36: $i)). % 0.98/1.15 tff(a606_type, type, ( % 0.98/1.15 a606: $i)). % 0.98/1.15 tff(tptp_fun__i_val_5_type, type, ( % 0.98/1.15 tptp_fun__i_val_5: $i)). % 0.98/1.15 tff(a483_type, type, ( % 0.98/1.15 a483: $i)). % 0.98/1.15 tff(tptp_fun__i_val_2_type, type, ( % 0.98/1.15 tptp_fun__i_val_2: $i)). % 0.98/1.15 tff(a468_type, type, ( % 0.98/1.15 a468: $i)). % 0.98/1.15 tff(tptp_fun__i_val_17_type, type, ( % 0.98/1.15 tptp_fun__i_val_17: $i)). % 0.98/1.15 tff(a518_type, type, ( % 0.98/1.15 a518: $i)). % 0.98/1.15 tff(tptp_fun__i_val_15_type, type, ( % 0.98/1.15 tptp_fun__i_val_15: $i)). % 0.98/1.15 tff(a519_type, type, ( % 0.98/1.15 a519: $i)). % 0.98/1.15 tff(tptp_fun__i_val_37_type, type, ( % 0.98/1.15 tptp_fun__i_val_37: $i)). % 0.98/1.15 tff(a527_type, type, ( % 0.98/1.15 a527: $i)). % 0.98/1.15 tff(tptp_fun__i_val_10_type, type, ( % 0.98/1.15 tptp_fun__i_val_10: $i)). % 0.98/1.15 tff(a502_type, type, ( % 0.98/1.15 a502: $i)). % 0.98/1.15 tff(c10_0_type, type, ( % 0.98/1.15 c10_0: $o)). % 0.98/1.15 tff(tptp_fun__i_val_46_type, type, ( % 0.98/1.15 tptp_fun__i_val_46: $i)). % 0.98/1.15 tff(a544_type, type, ( % 0.98/1.15 a544: $i)). % 0.98/1.15 tff(c1_0_type, type, ( % 0.98/1.15 c1_0: $o)). % 0.98/1.15 tff(a557_type, type, ( % 0.98/1.15 a557: $i)). % 0.98/1.15 tff(tptp_fun__i_val_40_type, type, ( % 0.98/1.15 tptp_fun__i_val_40: $i)). % 0.98/1.15 tff(a589_type, type, ( % 0.98/1.15 a589: $i)). % 0.98/1.15 tff(tptp_fun__i_val_26_type, type, ( % 0.98/1.15 tptp_fun__i_val_26: $i)). % 0.98/1.15 tff(a577_type, type, ( % 0.98/1.15 a577: $i)). % 0.98/1.15 tff(tptp_fun__i_val_22_type, type, ( % 0.98/1.15 tptp_fun__i_val_22: $i)). % 0.98/1.15 tff(a561_type, type, ( % 0.98/1.15 a561: $i)). % 0.98/1.15 tff(tptp_fun__i_val_4_type, type, ( % 0.98/1.15 tptp_fun__i_val_4: $i)). % 0.98/1.15 tff(a481_type, type, ( % 0.98/1.15 a481: $i)). % 0.98/1.15 tff(tptp_fun__i_val_0_type, type, ( % 0.98/1.15 tptp_fun__i_val_0: $i)). % 0.98/1.15 tff(a454_type, type, ( % 0.98/1.15 a454: $i)). % 0.98/1.15 tff(tptp_fun__i_val_35_type, type, ( % 0.98/1.15 tptp_fun__i_val_35: $i)). % 0.98/1.15 tff(a605_type, type, ( % 0.98/1.15 a605: $i)). % 0.98/1.15 tff(tptp_fun__i_val_20_type, type, ( % 0.98/1.15 tptp_fun__i_val_20: $i)). % 0.98/1.15 tff(a537_type, type, ( % 0.98/1.15 a537: $i)). % 0.98/1.15 tff(tptp_fun__i_val_41_type, type, ( % 0.98/1.15 tptp_fun__i_val_41: $i)). % 0.98/1.15 tff(a498_type, type, ( % 0.98/1.15 a498: $i)). % 0.98/1.15 tff(tptp_fun__i_val_44_type, type, ( % 0.98/1.15 tptp_fun__i_val_44: $i)). % 0.98/1.15 tff(a555_type, type, ( % 0.98/1.15 a555: $i)). % 0.98/1.15 tff(tptp_fun__i_val_16_type, type, ( % 0.98/1.15 tptp_fun__i_val_16: $i)). % 0.98/1.15 tff(a520_type, type, ( % 0.98/1.15 a520: $i)). % 0.98/1.15 tff(tptp_fun__i_val_21_type, type, ( % 0.98/1.15 tptp_fun__i_val_21: $i)). % 0.98/1.15 tff(a560_type, type, ( % 0.98/1.15 a560: $i)). % 0.98/1.15 tff(tptp_fun__i_val_39_type, type, ( % 0.98/1.15 tptp_fun__i_val_39: $i)). % 0.98/1.15 tff(a558_type, type, ( % 0.98/1.15 a558: $i)). % 0.98/1.15 tff(c4_0_type, type, ( % 0.98/1.15 c4_0: $o)). % 0.98/1.15 tff(tptp_fun__i_val_23_type, type, ( % 0.98/1.15 tptp_fun__i_val_23: $i)). % 0.98/1.15 tff(a566_type, type, ( % 0.98/1.15 a566: $i)). % 0.98/1.15 tff(tptp_fun__i_val_32_type, type, ( % 0.98/1.15 tptp_fun__i_val_32: $i)). % 0.98/1.15 tff(a597_type, type, ( % 0.98/1.15 a597: $i)). % 0.98/1.15 tff(tptp_fun__i_val_13_type, type, ( % 0.98/1.15 tptp_fun__i_val_13: $i)). % 0.98/1.15 tff(a515_type, type, ( % 0.98/1.15 a515: $i)). % 0.98/1.15 tff(c2_0_type, type, ( % 0.98/1.15 c2_0: $o)). % 0.98/1.15 tff(c6_0_type, type, ( % 0.98/1.15 c6_0: $o)). % 0.98/1.15 tff(tptp_fun__i_val_24_type, type, ( % 0.98/1.15 tptp_fun__i_val_24: $i)). % 0.98/1.15 tff(a571_type, type, ( % 0.98/1.15 a571: $i)). % 0.98/1.15 tff(tptp_fun__i_val_28_type, type, ( % 0.98/1.15 tptp_fun__i_val_28: $i)). % 0.98/1.15 tff(a586_type, type, ( % 0.98/1.15 a586: $i)). % 0.98/1.15 tff(tptp_fun__i_val_29_type, type, ( % 0.98/1.15 tptp_fun__i_val_29: $i)). % 0.98/1.15 tff(a587_type, type, ( % 0.98/1.15 a587: $i)). % 0.98/1.15 tff(tptp_fun__i_val_18_type, type, ( % 0.98/1.15 tptp_fun__i_val_18: $i)). % 0.98/1.15 tff(a525_type, type, ( % 0.98/1.15 a525: $i)). % 0.98/1.15 tff(tptp_fun__i_val_48_type, type, ( % 0.98/1.15 tptp_fun__i_val_48: $i)). % 0.98/1.15 tff(a456_type, type, ( % 0.98/1.15 a456: $i)). % 0.98/1.15 tff(tptp_fun__i_val_12_type, type, ( % 0.98/1.15 tptp_fun__i_val_12: $i)). % 0.98/1.15 tff(a513_type, type, ( % 0.98/1.15 a513: $i)). % 0.98/1.15 tff(tptp_fun__i_val_42_type, type, ( % 0.98/1.15 tptp_fun__i_val_42: $i)). % 0.98/1.15 tff(a553_type, type, ( % 0.98/1.15 a553: $i)). % 0.98/1.15 tff(ndr1_0_type, type, ( % 0.98/1.15 ndr1_0: $o)). % 0.98/1.15 tff(c3_0_type, type, ( % 0.98/1.15 c3_0: $o)). % 0.98/1.15 tff(tptp_fun__i_val_30_type, type, ( % 0.98/1.15 tptp_fun__i_val_30: $i)). % 0.98/1.15 tff(a588_type, type, ( % 0.98/1.15 a588: $i)). % 0.98/1.15 tff(tptp_fun__i_val_7_type, type, ( % 0.98/1.15 tptp_fun__i_val_7: $i)). % 0.98/1.15 tff(a484_type, type, ( % 0.98/1.15 a484: $i)). % 0.98/1.15 tff(tptp_fun__i_val_8_type, type, ( % 0.98/1.15 tptp_fun__i_val_8: $i)). % 0.98/1.15 tff(a489_type, type, ( % 0.98/1.15 a489: $i)). % 0.98/1.15 tff(tptp_fun__i_val_6_type, type, ( % 0.98/1.15 tptp_fun__i_val_6: $i)). % 0.98/1.15 tff(a482_type, type, ( % 0.98/1.15 a482: $i)). % 0.98/1.15 tff(tptp_fun__i_val_45_type, type, ( % 0.98/1.15 tptp_fun__i_val_45: $i)). % 0.98/1.15 tff(a546_type, type, ( % 0.98/1.15 a546: $i)). % 0.98/1.15 tff(tptp_fun__i_val_43_type, type, ( % 0.98/1.15 tptp_fun__i_val_43: $i)). % 0.98/1.15 tff(a497_type, type, ( % 0.98/1.15 a497: $i)). % 0.98/1.15 tff(tptp_fun__i_val_19_type, type, ( % 0.98/1.15 tptp_fun__i_val_19: $i)). % 0.98/1.15 tff(a523_type, type, ( % 0.98/1.15 a523: $i)). % 0.98/1.15 tff(tptp_fun__i_val_11_type, type, ( % 0.98/1.15 tptp_fun__i_val_11: $i)). % 0.98/1.15 tff(a503_type, type, ( % 0.98/1.15 a503: $i)). % 0.98/1.15 tff(tptp_fun__i_val_34_type, type, ( % 0.98/1.15 tptp_fun__i_val_34: $i)). % 0.98/1.15 tff(a603_type, type, ( % 0.98/1.15 a603: $i)). % 0.98/1.15 tff(tptp_fun__i_val_31_type, type, ( % 0.98/1.15 tptp_fun__i_val_31: $i)). % 0.98/1.15 tff(a592_type, type, ( % 0.98/1.15 a592: $i)). % 0.98/1.15 tff(c5_0_type, type, ( % 0.98/1.15 c5_0: $o)). % 0.98/1.15 tff(tptp_fun__i_val_49_type, type, ( % 0.98/1.15 tptp_fun__i_val_49: $i)). % 0.98/1.15 tff(a604_type, type, ( % 0.98/1.15 a604: $i)). % 0.98/1.15 tff(tptp_fun__i_val_47_type, type, ( % 0.98/1.15 tptp_fun__i_val_47: $i)). % 0.98/1.15 tff(a506_type, type, ( % 0.98/1.15 a506: $i)). % 0.98/1.15 tff(tptp_fun__i_val_33_type, type, ( % 0.98/1.15 tptp_fun__i_val_33: $i)). % 0.98/1.15 tff(a598_type, type, ( % 0.98/1.15 a598: $i)). % 0.98/1.15 tff(k!620_type, type, ( % 0.98/1.15 k!620: $i > $i)). % 0.98/1.15 tff(ndr1_1_type, type, ( % 0.98/1.15 ndr1_1: $i > $o)). % 0.98/1.15 tff(k!621_type, type, ( % 0.98/1.15 k!621: $i > $i)). % 0.98/1.15 tff(c7_2_type, type, ( % 0.98/1.15 c7_2: ( $i * $i ) > $o)). % 0.98/1.15 tff(c10_1_type, type, ( % 0.98/1.15 c10_1: $i > $o)). % 0.98/1.15 tff(c5_1_type, type, ( % 0.98/1.15 c5_1: $i > $o)). % 0.98/1.15 tff(c2_1_type, type, ( % 0.98/1.15 c2_1: $i > $o)). % 0.98/1.15 tff(c3_1_type, type, ( % 0.98/1.15 c3_1: $i > $o)). % 0.98/1.15 tff(c10_2_type, type, ( % 0.98/1.15 c10_2: ( $i * $i ) > $o)). % 0.98/1.15 tff(c4_1_type, type, ( % 0.98/1.15 c4_1: $i > $o)). % 0.98/1.15 tff(c1_2_type, type, ( % 0.98/1.15 c1_2: ( $i * $i ) > $o)). % 0.98/1.15 tff(c9_1_type, type, ( % 0.98/1.15 c9_1: $i > $o)). % 0.98/1.15 tff(c1_1_type, type, ( % 0.98/1.15 c1_1: $i > $o)). % 0.98/1.15 tff(c3_2_type, type, ( % 0.98/1.15 c3_2: ( $i * $i ) > $o)). % 0.98/1.15 tff(c4_2_type, type, ( % 0.98/1.15 c4_2: ( $i * $i ) > $o)). % 0.98/1.15 tff(c7_1_type, type, ( % 0.98/1.15 c7_1: $i > $o)). % 0.98/1.15 tff(c5_2_type, type, ( % 0.98/1.15 c5_2: ( $i * $i ) > $o)). % 0.98/1.15 tff(c8_2_type, type, ( % 0.98/1.15 c8_2: ( $i * $i ) > $o)). % 0.98/1.15 tff(c9_2_type, type, ( % 0.98/1.15 c9_2: ( $i * $i ) > $o)). % 0.98/1.15 tff(c6_2_type, type, ( % 0.98/1.15 c6_2: ( $i * $i ) > $o)). % 0.98/1.15 tff(c6_1_type, type, ( % 0.98/1.15 c6_1: $i > $o)). % 0.98/1.15 tff(c8_1_type, type, ( % 0.98/1.15 c8_1: $i > $o)). % 0.98/1.15 tff(c2_2_type, type, ( % 0.98/1.15 c2_2: ( $i * $i ) > $o)). % 0.98/1.15 tff(formula1, axiom, % 0.98/1.15 a495 = $i!val!9). % 0.98/1.15 tff(formula2, axiom, % 0.98/1.15 c9_0 <=> $true). % 0.98/1.15 tff(formula3, axiom, % 0.98/1.15 a572 = $i!val!25). % 0.98/1.15 tff(formula4, axiom, % 0.98/1.15 a585 = $i!val!27). % 0.98/1.15 tff(formula5, axiom, % 0.98/1.15 c7_0 <=> $false). % 0.98/1.15 tff(formula6, axiom, % 0.98/1.15 a467 = $i!val!1). % 0.98/1.15 tff(formula7, axiom, % 0.98/1.15 a516 = $i!val!14). % 0.98/1.15 tff(formula8, axiom, % 0.98/1.15 a574 = $i!val!38). % 0.98/1.15 tff(formula9, axiom, % 0.98/1.15 c8_0 <=> $false). % 0.98/1.15 tff(formula10, axiom, % 0.98/1.15 a469 = $i!val!3). % 0.98/1.15 tff(formula11, axiom, % 0.98/1.15 a606 = $i!val!36). % 0.98/1.15 tff(formula12, axiom, % 0.98/1.15 a483 = $i!val!5). % 0.98/1.15 tff(formula13, axiom, % 0.98/1.15 a468 = $i!val!2). % 0.98/1.15 tff(formula14, axiom, % 0.98/1.15 a518 = $i!val!17). % 0.98/1.15 tff(formula15, axiom, % 0.98/1.15 a519 = $i!val!15). % 0.98/1.15 tff(formula16, axiom, % 0.98/1.15 a527 = $i!val!37). % 0.98/1.15 tff(formula17, axiom, % 0.98/1.15 a502 = $i!val!10). % 0.98/1.15 tff(formula18, axiom, % 0.98/1.15 c10_0 <=> $true). % 0.98/1.15 tff(formula19, axiom, % 0.98/1.15 a544 = $i!val!46). % 0.98/1.15 tff(formula20, axiom, % 0.98/1.15 c1_0 <=> $false). % 0.98/1.15 tff(formula21, axiom, % 0.98/1.15 a557 = $i!val!37). % 0.98/1.15 tff(formula22, axiom, % 0.98/1.15 a589 = $i!val!40). % 0.98/1.15 tff(formula23, axiom, % 0.98/1.15 a577 = $i!val!26). % 0.98/1.15 tff(formula24, axiom, % 0.98/1.15 a561 = $i!val!22). % 0.98/1.15 tff(formula25, axiom, % 0.98/1.15 a481 = $i!val!4). % 0.98/1.15 tff(formula26, axiom, % 0.98/1.15 a454 = $i!val!0). % 0.98/1.15 tff(formula27, axiom, % 0.98/1.15 a605 = $i!val!35). % 0.98/1.15 tff(formula28, axiom, % 0.98/1.15 a537 = $i!val!20). % 0.98/1.15 tff(formula29, axiom, % 0.98/1.15 a498 = $i!val!41). % 0.98/1.15 tff(formula30, axiom, % 0.98/1.15 a555 = $i!val!44). % 0.98/1.15 tff(formula31, axiom, % 0.98/1.15 a520 = $i!val!16). % 0.98/1.15 tff(formula32, axiom, % 0.98/1.15 a560 = $i!val!21). % 0.98/1.15 tff(formula33, axiom, % 0.98/1.15 a558 = $i!val!39). % 0.98/1.15 tff(formula34, axiom, % 0.98/1.15 c4_0 <=> $false). % 0.98/1.15 tff(formula35, axiom, % 0.98/1.15 a566 = $i!val!23). % 0.98/1.15 tff(formula36, axiom, % 0.98/1.15 a597 = $i!val!32). % 0.98/1.15 tff(formula37, axiom, % 0.98/1.15 a515 = $i!val!13). % 0.98/1.15 tff(formula38, axiom, % 0.98/1.15 c2_0 <=> $false). % 0.98/1.15 tff(formula39, axiom, % 0.98/1.15 c6_0 <=> $true). % 0.98/1.15 tff(formula40, axiom, % 0.98/1.15 a571 = $i!val!24). % 0.98/1.15 tff(formula41, axiom, % 0.98/1.15 a586 = $i!val!28). % 0.98/1.15 tff(formula42, axiom, % 0.98/1.15 a587 = $i!val!29). % 0.98/1.15 tff(formula43, axiom, % 0.98/1.15 a525 = $i!val!18). % 0.98/1.15 tff(formula44, axiom, % 0.98/1.15 a456 = $i!val!48). % 0.98/1.15 tff(formula45, axiom, % 0.98/1.15 a513 = $i!val!12). % 0.98/1.15 tff(formula46, axiom, % 0.98/1.15 a553 = $i!val!42). % 0.98/1.15 tff(formula47, axiom, % 0.98/1.15 ndr1_0 <=> $true). % 0.98/1.15 tff(formula48, axiom, % 0.98/1.15 c3_0 <=> $false). % 0.98/1.15 tff(formula49, axiom, % 0.98/1.15 a588 = $i!val!30). % 0.98/1.15 tff(formula50, axiom, % 0.98/1.15 a484 = $i!val!7). % 0.98/1.15 tff(formula51, axiom, % 0.98/1.15 a489 = $i!val!8). % 0.98/1.15 tff(formula52, axiom, % 0.98/1.15 a482 = $i!val!6). % 0.98/1.15 tff(formula53, axiom, % 0.98/1.15 a546 = $i!val!45). % 0.98/1.15 tff(formula54, axiom, % 0.98/1.15 a497 = $i!val!43). % 0.98/1.15 tff(formula55, axiom, % 0.98/1.15 a523 = $i!val!19). % 0.98/1.15 tff(formula56, axiom, % 0.98/1.15 a503 = $i!val!11). % 0.98/1.15 tff(formula57, axiom, % 0.98/1.15 a603 = $i!val!34). % 0.98/1.15 tff(formula58, axiom, % 0.98/1.15 a592 = $i!val!31). % 0.98/1.15 tff(formula59, axiom, % 0.98/1.15 c5_0 <=> $true). % 0.98/1.15 tff(formula60, axiom, % 0.98/1.15 a604 = $i!val!49). % 0.98/1.15 tff(formula61, axiom, % 0.98/1.15 a506 = $i!val!47). % 0.98/1.15 tff(formula62, axiom, % 0.98/1.15 a598 = $i!val!33). % 0.98/1.15 tff(formula63, axiom, % 0.98/1.15 ![X0: $i] : (ndr1_1(X0) <=> ((~(k!620(X0) = $i!val!23)) & (~(k!620(X0) = $i!val!31)) & (~(k!620(X0) = $i!val!19)) & (~(k!620(X0) = $i!val!8))))). % 0.98/1.15 tff(formula64, axiom, % 0.98/1.15 ![X0: $i, X1: $i] : (c7_2(X0, X1) <=> (((k!620(X1) = $i!val!13) & (k!621(X0) = $i!val!45)) | ((k!620(X1) = $i!val!4) & (k!621(X0) = $i!val!45)) | ((k!620(X1) = $i!val!15) & (k!621(X0) = $i!val!45)) | ((k!620(X1) = $i!val!1) & (k!621(X0) = $i!val!45)) | ((k!620(X1) = $i!val!13) & (k!621(X0) = $i!val!42)) | ((k!620(X1) = $i!val!1) & (k!621(X0) = $i!val!42))))). % 0.98/1.15 tff(formula65, axiom, % 0.98/1.15 ![X0: $i] : (c10_1(X0) <=> ((~(k!620(X0) = $i!val!10)) & (~(k!620(X0) = $i!val!4))))). % 0.98/1.15 tff(formula66, axiom, % 0.98/1.15 ![X0: $i] : (c5_1(X0) <=> ((~(k!620(X0) = $i!val!35)) & (~(k!620(X0) = $i!val!10))))). % 0.98/1.15 tff(formula67, axiom, % 0.98/1.15 k!621($i!val!38) = $i!val!38). % 0.98/1.15 tff(formula68, axiom, % 0.98/1.15 k!621($i!val!25) = $i!val!25). % 0.98/1.15 tff(formula69, axiom, % 0.98/1.15 k!621($i!val!14) = $i!val!14). % 0.98/1.15 tff(formula70, axiom, % 0.98/1.15 k!621($i!val!29) = $i!val!29). % 0.98/1.15 tff(formula71, axiom, % 0.98/1.15 k!621($i!val!36) = $i!val!36). % 0.98/1.15 tff(formula72, axiom, % 0.98/1.15 k!621($i!val!48) = $i!val!48). % 0.98/1.15 tff(formula73, axiom, % 0.98/1.15 k!621($i!val!5) = $i!val!5). % 0.98/1.15 tff(formula74, axiom, % 0.98/1.15 k!621($i!val!42) = $i!val!42). % 0.98/1.15 tff(formula75, axiom, % 0.98/1.15 k!621($i!val!2) = $i!val!2). % 0.98/1.15 tff(formula76, axiom, % 0.98/1.15 k!621($i!val!17) = $i!val!17). % 0.98/1.15 tff(formula77, axiom, % 0.98/1.15 k!621($i!val!30) = $i!val!30). % 0.98/1.15 tff(formula78, axiom, % 0.98/1.15 k!621($i!val!46) = $i!val!46). % 0.98/1.15 tff(formula79, axiom, % 0.98/1.15 k!621($i!val!37) = $i!val!37). % 0.98/1.15 tff(formula80, axiom, % 0.98/1.15 k!621($i!val!40) = $i!val!40). % 0.98/1.15 tff(formula81, axiom, % 0.98/1.15 k!621($i!val!45) = $i!val!45). % 0.98/1.15 tff(formula82, axiom, % 0.98/1.15 k!621($i!val!43) = $i!val!43). % 0.98/1.15 tff(formula83, axiom, % 0.98/1.15 k!621($i!val!6) = $i!val!6). % 0.98/1.15 tff(formula84, axiom, % 0.98/1.15 k!621($i!val!22) = $i!val!22). % 0.98/1.15 tff(formula85, axiom, % 0.98/1.15 k!621($i!val!44) = $i!val!44). % 0.98/1.15 tff(formula86, axiom, % 0.98/1.15 k!621($i!val!11) = $i!val!11). % 0.98/1.15 tff(formula87, axiom, % 0.98/1.15 k!621($i!val!41) = $i!val!41). % 0.98/1.15 tff(formula88, axiom, % 0.98/1.15 k!621($i!val!49) = $i!val!49). % 0.98/1.15 tff(formula89, axiom, % 0.98/1.15 k!621($i!val!34) = $i!val!34). % 0.98/1.15 tff(formula90, axiom, % 0.98/1.15 k!621($i!val!16) = $i!val!16). % 0.98/1.15 tff(formula91, axiom, % 0.98/1.15 k!621($i!val!39) = $i!val!39). % 0.98/1.15 tff(formula92, axiom, % 0.98/1.15 k!621($i!val!47) = $i!val!47). % 0.98/1.15 tff(formula93, axiom, % 0.98/1.15 k!621($i!val!33) = $i!val!33). % 0.98/1.15 tff(formula94, axiom, % 0.98/1.15 ![X0: $i] : ((~((($i!val!38 = X0)) | (($i!val!25 = X0)) | (($i!val!14 = X0)) | (($i!val!29 = X0)) | (($i!val!36 = X0)) | (($i!val!48 = X0)) | (($i!val!5 = X0)) | (($i!val!42 = X0)) | (($i!val!2 = X0)) | (($i!val!17 = X0)) | (($i!val!30 = X0)) | (($i!val!46 = X0)) | (($i!val!37 = X0)) | (($i!val!40 = X0)) | (($i!val!45 = X0)) | (($i!val!43 = X0)) | (($i!val!6 = X0)) | (($i!val!22 = X0)) | (($i!val!44 = X0)) | (($i!val!11 = X0)) | (($i!val!41 = X0)) | (($i!val!49 = X0)) | (($i!val!34 = X0)) | (($i!val!16 = X0)) | (($i!val!39 = X0)) | (($i!val!47 = X0)) | (($i!val!33 = X0)))) => (k!621(X0) = $i!val!9))). % 0.98/1.15 tff(formula95, axiom, % 0.98/1.15 ![X0: $i] : (c2_1(X0) <=> (k!620(X0) = $i!val!1))). % 0.98/1.15 tff(formula96, axiom, % 0.98/1.15 ![X0: $i] : (c3_1(X0) <=> $false)). % 0.98/1.15 tff(formula97, axiom, % 0.98/1.15 ![X0: $i, X1: $i] : (c10_2(X0, X1) <=> ((~((k!620(X1) = $i!val!10) & (k!621(X0) = $i!val!40))) & (~((k!620(X1) = $i!val!28) & (k!621(X0) = $i!val!40))) & (~((k!620(X1) = $i!val!32) & (k!621(X0) = $i!val!40))) & (~((k!620(X1) = $i!val!35) & (k!621(X0) = $i!val!40))) & (~((k!620(X1) = $i!val!24) & (k!621(X0) = $i!val!40))) & (~((k!620(X1) = $i!val!13) & (k!621(X0) = $i!val!40))) & (~((k!620(X1) = $i!val!4) & (k!621(X0) = $i!val!40))) & (~((k!620(X1) = $i!val!21) & (k!621(X0) = $i!val!40))) & (~((k!620(X1) = $i!val!1) & (k!621(X0) = $i!val!40))) & (~((k!620(X1) = $i!val!15) & (k!621(X0) = $i!val!40))) & (~((k!620(X1) = $i!val!13) & (k!621(X0) = $i!val!14))) & (~((k!620(X1) = $i!val!1) & (k!621(X0) = $i!val!2)))))). % 0.98/1.15 tff(formula98, axiom, % 0.98/1.15 ![X0: $i] : (c4_1(X0) <=> (k!620(X0) = $i!val!1))). % 0.98/1.15 tff(formula99, axiom, % 0.98/1.15 ![X0: $i, X1: $i] : (c1_2(X0, X1) <=> (((k!620(X1) = $i!val!15) & (k!621(X0) = $i!val!37)) | ((k!620(X1) = $i!val!21) & (k!621(X0) = $i!val!22)) | ((k!620(X1) = $i!val!32) & (k!621(X0) = $i!val!41)) | ((k!620(X1) = $i!val!24) & (k!621(X0) = $i!val!37)) | ((k!620(X1) = $i!val!21) & (k!621(X0) = $i!val!37)) | ((k!620(X1) = $i!val!1) & (k!621(X0) = $i!val!37)) | ((k!620(X1) = $i!val!15) & (k!621(X0) = $i!val!41)) | ((k!620(X1) = $i!val!32) & (k!621(X0) = $i!val!37)) | ((k!620(X1) = $i!val!10) & (k!621(X0) = $i!val!37))))). % 0.98/1.15 tff(formula100, axiom, % 0.98/1.15 ![X0: $i] : (c9_1(X0) <=> ((k!620(X0) = $i!val!12) | (k!620(X0) = $i!val!13) | (k!620(X0) = $i!val!31) | (k!620(X0) = $i!val!15) | (k!620(X0) = $i!val!35)))). % 0.98/1.15 tff(formula101, axiom, % 0.98/1.15 ![X0: $i] : (c1_1(X0) <=> ((k!620(X0) = $i!val!28) | (k!620(X0) = $i!val!13) | (k!620(X0) = $i!val!31) | (k!620(X0) = $i!val!19) | (k!620(X0) = $i!val!23)))). % 0.98/1.15 tff(formula102, axiom, % 0.98/1.15 ![X0: $i, X1: $i] : (c3_2(X0, X1) <=> (((k!620(X1) = $i!val!28) & (k!621(X0) = $i!val!30)) | ((k!620(X1) = $i!val!32) & (k!621(X0) = $i!val!49)) | ((k!620(X1) = $i!val!13) & (k!621(X0) = $i!val!44)) | ((k!620(X1) = $i!val!10) & (k!621(X0) = $i!val!44)) | ((k!620(X1) = $i!val!4) & (k!621(X0) = $i!val!44)) | ((k!620(X1) = $i!val!1) & (k!621(X0) = $i!val!2))))). % 0.98/1.15 tff(formula103, axiom, % 0.98/1.15 ![X0: $i, X1: $i] : (c4_2(X0, X1) <=> (((k!620(X1) = $i!val!35) & (k!621(X0) = $i!val!46)) | ((k!620(X1) = $i!val!4) & (k!621(X0) = $i!val!6)) | ((k!620(X1) = $i!val!10) & (k!621(X0) = $i!val!46)) | ((k!620(X1) = $i!val!13) & (k!621(X0) = $i!val!46)) | ((k!620(X1) = $i!val!4) & (k!621(X0) = $i!val!46)) | ((k!620(X1) = $i!val!1) & (k!621(X0) = $i!val!46)) | ((k!620(X1) = $i!val!21) & (k!621(X0) = $i!val!46))))). % 0.98/1.15 tff(formula104, axiom, % 0.98/1.15 ![X0: $i] : (c7_1(X0) <=> ((~(k!620(X0) = $i!val!32)) & (~(k!620(X0) = $i!val!18))))). % 0.98/1.15 tff(formula105, axiom, % 0.98/1.15 ![X0: $i, X1: $i] : (c5_2(X0, X1) <=> ((k!620(X1) = $i!val!4) & (k!621(X0) = $i!val!5)))). % 0.98/1.15 tff(formula106, axiom, % 0.98/1.15 ![X0: $i, X1: $i] : (c8_2(X0, X1) <=> (((k!620(X1) = $i!val!7) & (k!621(X0) = $i!val!17)) | ((k!620(X1) = $i!val!10) & (k!621(X0) = $i!val!11)) | ((k!620(X1) = $i!val!13) & (k!621(X0) = $i!val!42)) | ((k!620(X1) = $i!val!1) & (k!621(X0) = $i!val!42))))). % 0.98/1.15 tff(formula107, axiom, % 0.98/1.15 ![X0: $i, X1: $i] : (c9_2(X0, X1) <=> ((~((k!620(X1) = $i!val!4) & (k!621(X0) = $i!val!5))) & (~((k!620(X1) = $i!val!35) & (k!621(X0) = $i!val!39))) & (~((k!620(X1) = $i!val!32) & (k!621(X0) = $i!val!39))) & (~((k!620(X1) = $i!val!28) & (k!621(X0) = $i!val!39))) & (~((k!620(X1) = $i!val!1) & (k!621(X0) = $i!val!39))) & (~((k!620(X1) = $i!val!15) & (k!621(X0) = $i!val!39))) & (~((k!620(X1) = $i!val!10) & (k!621(X0) = $i!val!44))) & (~((k!620(X1) = $i!val!13) & (k!621(X0) = $i!val!44))) & (~((k!620(X1) = $i!val!4) & (k!621(X0) = $i!val!44))) & (~((k!620(X1) = $i!val!23) & (k!621(X0) = $i!val!9))) & (~((k!620(X1) = $i!val!32) & (k!621(X0) = $i!val!33)))))). % 0.98/1.16 tff(formula108, axiom, % 0.98/1.16 ![X0: $i, X1: $i] : (c6_2(X0, X1) <=> (((k!620(X1) = $i!val!4) & (k!621(X0) = $i!val!6)) | ((k!620(X1) = $i!val!1) & (k!621(X0) = $i!val!2))))). % 0.98/1.16 tff(formula109, axiom, % 0.98/1.16 ![X0: $i] : (c6_1(X0) <=> $false)). % 0.98/1.16 tff(formula110, axiom, % 0.98/1.16 ![X0: $i] : (c8_1(X0) <=> ((k!620(X0) = $i!val!0) | (k!620(X0) = $i!val!28) | (k!620(X0) = $i!val!13) | (k!620(X0) = $i!val!4) | (k!620(X0) = $i!val!18) | (k!620(X0) = $i!val!23) | (k!620(X0) = $i!val!8)))). % 0.98/1.16 tff(formula111, axiom, % 0.98/1.16 ![X0: $i, X1: $i] : (c2_2(X0, X1) <=> (((k!620(X1) = $i!val!4) & (k!621(X0) = $i!val!43)) | ((k!620(X1) = $i!val!21) & (k!621(X0) = $i!val!22)) | ((k!620(X1) = $i!val!21) & (k!621(X0) = $i!val!43)) | ((k!620(X1) = $i!val!35) & (k!621(X0) = $i!val!43)) | ((k!620(X1) = $i!val!24) & (k!621(X0) = $i!val!43)) | ((k!620(X1) = $i!val!28) & (k!621(X0) = $i!val!43)) | ((k!620(X1) = $i!val!35) & (k!621(X0) = $i!val!36))))). % 0.98/1.16 tff(formula112, axiom, % 0.98/1.16 k!620($i!val!7) = $i!val!7). % 0.98/1.16 tff(formula113, axiom, % 0.98/1.16 k!620($i!val!32) = $i!val!32). % 0.98/1.16 tff(formula114, axiom, % 0.98/1.16 k!620($i!val!8) = $i!val!8). % 0.98/1.16 tff(formula115, axiom, % 0.98/1.16 k!620($i!val!13) = $i!val!13). % 0.98/1.16 tff(formula116, axiom, % 0.98/1.16 k!620($i!val!26) = $i!val!26). % 0.98/1.16 tff(formula117, axiom, % 0.98/1.16 k!620($i!val!1) = $i!val!1). % 0.98/1.16 tff(formula118, axiom, % 0.98/1.16 k!620($i!val!24) = $i!val!24). % 0.98/1.16 tff(formula119, axiom, % 0.98/1.16 k!620($i!val!4) = $i!val!4). % 0.98/1.16 tff(formula120, axiom, % 0.98/1.16 k!620($i!val!28) = $i!val!28). % 0.98/1.16 tff(formula121, axiom, % 0.98/1.16 k!620($i!val!3) = $i!val!3). % 0.98/1.16 tff(formula122, axiom, % 0.98/1.16 k!620($i!val!19) = $i!val!19). % 0.98/1.16 tff(formula123, axiom, % 0.98/1.16 k!620($i!val!0) = $i!val!0). % 0.98/1.16 tff(formula124, axiom, % 0.98/1.16 k!620($i!val!35) = $i!val!35). % 0.98/1.16 tff(formula125, axiom, % 0.98/1.16 k!620($i!val!18) = $i!val!18). % 0.98/1.16 tff(formula126, axiom, % 0.98/1.16 k!620($i!val!31) = $i!val!31). % 0.98/1.16 tff(formula127, axiom, % 0.98/1.16 k!620($i!val!20) = $i!val!20). % 0.98/1.16 tff(formula128, axiom, % 0.98/1.16 k!620($i!val!12) = $i!val!12). % 0.98/1.16 tff(formula129, axiom, % 0.98/1.16 k!620($i!val!27) = $i!val!27). % 0.98/1.16 tff(formula130, axiom, % 0.98/1.16 k!620($i!val!21) = $i!val!21). % 0.98/1.16 tff(formula131, axiom, % 0.98/1.16 k!620($i!val!15) = $i!val!15). % 0.98/1.16 tff(formula132, axiom, % 0.98/1.16 k!620($i!val!10) = $i!val!10). % 0.98/1.16 tff(formula133, axiom, % 0.98/1.16 ![X0: $i] : ((~((($i!val!7 = X0)) | (($i!val!32 = X0)) | (($i!val!8 = X0)) | (($i!val!13 = X0)) | (($i!val!26 = X0)) | (($i!val!1 = X0)) | (($i!val!24 = X0)) | (($i!val!4 = X0)) | (($i!val!28 = X0)) | (($i!val!3 = X0)) | (($i!val!19 = X0)) | (($i!val!0 = X0)) | (($i!val!35 = X0)) | (($i!val!18 = X0)) | (($i!val!31 = X0)) | (($i!val!20 = X0)) | (($i!val!12 = X0)) | (($i!val!27 = X0)) | (($i!val!21 = X0)) | (($i!val!15 = X0)) | (($i!val!10 = X0)))) => (k!620(X0) = $i!val!23))). % 0.98/1.16 % SZS output end Model % 0.98/1.16 % E exiting %------------------------------------------------------------------------------