%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : SYN542-1 : TPTP v9.0.0. Released v2.1.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n012.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 05:39:32 AM UTC 2025 % Result : Satisfiable 11.41s 11.59s % Output : Model 11.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SYN542-1 : TPTP v9.0.0. Released v2.1.0. % 0.07/0.12 % Command : run_E %s %d THM % 0.12/0.33 % Computer : n012.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 12:37:10 EDT 2025 % 0.12/0.33 % CPUTime : % 11.41/11.59 % SZS status Satisfiable % 11.41/11.59 % SZS output start Model % 11.41/11.59 tff(tptp_fun__i_val_38_type, type, ( % 11.41/11.59 tptp_fun__i_val_38: $i)). % 11.41/11.59 tff(a59_type, type, ( % 11.41/11.59 a59: $i)). % 11.41/11.59 tff(hskp15_type, type, ( % 11.41/11.59 hskp15: $o)). % 11.41/11.59 tff(tptp_fun__i_val_4_type, type, ( % 11.41/11.59 tptp_fun__i_val_4: $i)). % 11.41/11.59 tff(a44_type, type, ( % 11.41/11.59 a44: $i)). % 11.41/11.59 tff(hskp1_type, type, ( % 11.41/11.59 hskp1: $o)). % 11.41/11.59 tff(tptp_fun__i_val_29_type, type, ( % 11.41/11.59 tptp_fun__i_val_29: $i)). % 11.41/11.59 tff(a20_type, type, ( % 11.41/11.59 a20: $i)). % 11.41/11.59 tff(hskp27_type, type, ( % 11.41/11.59 hskp27: $o)). % 11.41/11.59 tff(tptp_fun__i_val_40_type, type, ( % 11.41/11.59 tptp_fun__i_val_40: $i)). % 11.41/11.59 tff(a27_type, type, ( % 11.41/11.59 a27: $i)). % 11.41/11.59 tff(hskp37_type, type, ( % 11.41/11.59 hskp37: $o)). % 11.41/11.59 tff(tptp_fun__i_val_6_type, type, ( % 11.41/11.59 tptp_fun__i_val_6: $i)). % 11.41/11.59 tff(a40_type, type, ( % 11.41/11.59 a40: $i)). % 11.41/11.59 tff(tptp_fun__i_val_24_type, type, ( % 11.41/11.59 tptp_fun__i_val_24: $i)). % 11.41/11.59 tff(a31_type, type, ( % 11.41/11.59 a31: $i)). % 11.41/11.59 tff(hskp31_type, type, ( % 11.41/11.59 hskp31: $o)). % 11.41/11.59 tff(tptp_fun__i_val_19_type, type, ( % 11.41/11.59 tptp_fun__i_val_19: $i)). % 11.41/11.59 tff(a46_type, type, ( % 11.41/11.59 a46: $i)). % 11.41/11.59 tff(tptp_fun__i_val_7_type, type, ( % 11.41/11.59 tptp_fun__i_val_7: $i)). % 11.41/11.59 tff(a4_type, type, ( % 11.41/11.59 a4: $i)). % 11.41/11.59 tff(tptp_fun__i_val_43_type, type, ( % 11.41/11.59 tptp_fun__i_val_43: $i)). % 11.41/11.59 tff(a3_type, type, ( % 11.41/11.59 a3: $i)). % 11.41/11.59 tff(tptp_fun__i_val_31_type, type, ( % 11.41/11.59 tptp_fun__i_val_31: $i)). % 11.41/11.59 tff(a12_type, type, ( % 11.41/11.59 a12: $i)). % 11.41/11.59 tff(hskp45_type, type, ( % 11.41/11.59 hskp45: $o)). % 11.41/11.59 tff(tptp_fun__i_val_25_type, type, ( % 11.41/11.59 tptp_fun__i_val_25: $i)). % 11.41/11.59 tff(a29_type, type, ( % 11.41/11.59 a29: $i)). % 11.41/11.59 tff(tptp_fun__i_val_10_type, type, ( % 11.41/11.59 tptp_fun__i_val_10: $i)). % 11.41/11.59 tff(a75_type, type, ( % 11.41/11.59 a75: $i)). % 11.41/11.59 tff(hskp21_type, type, ( % 11.41/11.59 hskp21: $o)). % 11.41/11.59 tff(hskp23_type, type, ( % 11.41/11.59 hskp23: $o)). % 11.41/11.59 tff(hskp17_type, type, ( % 11.41/11.59 hskp17: $o)). % 11.41/11.59 tff(tptp_fun__i_val_17_type, type, ( % 11.41/11.59 tptp_fun__i_val_17: $i)). % 11.41/11.59 tff(a51_type, type, ( % 11.41/11.59 a51: $i)). % 11.41/11.59 tff(tptp_fun__i_val_23_type, type, ( % 11.41/11.59 tptp_fun__i_val_23: $i)). % 11.41/11.59 tff(a32_type, type, ( % 11.41/11.59 a32: $i)). % 11.41/11.59 tff(hskp56_type, type, ( % 11.41/11.59 hskp56: $o)). % 11.41/11.59 tff(tptp_fun__i_val_22_type, type, ( % 11.41/11.59 tptp_fun__i_val_22: $i)). % 11.41/11.59 tff(a34_type, type, ( % 11.41/11.59 a34: $i)). % 11.41/11.59 tff(tptp_fun__i_val_1_type, type, ( % 11.41/11.59 tptp_fun__i_val_1: $i)). % 11.41/11.59 tff(a60_type, type, ( % 11.41/11.59 a60: $i)). % 11.41/11.59 tff(hskp54_type, type, ( % 11.41/11.59 hskp54: $o)). % 11.41/11.59 tff(hskp2_type, type, ( % 11.41/11.59 hskp2: $o)). % 11.41/11.59 tff(hskp26_type, type, ( % 11.41/11.59 hskp26: $o)). % 11.41/11.59 tff(tptp_fun__i_val_15_type, type, ( % 11.41/11.59 tptp_fun__i_val_15: $i)). % 11.41/11.59 tff(a61_type, type, ( % 11.41/11.59 a61: $i)). % 11.41/11.59 tff(tptp_fun__i_val_18_type, type, ( % 11.41/11.59 tptp_fun__i_val_18: $i)). % 11.41/11.59 tff(a49_type, type, ( % 11.41/11.59 a49: $i)). % 11.41/11.59 tff(hskp12_type, type, ( % 11.41/11.59 hskp12: $o)). % 11.41/11.59 tff(tptp_fun__i_val_34_type, type, ( % 11.41/11.59 tptp_fun__i_val_34: $i)). % 11.41/11.59 tff(a7_type, type, ( % 11.41/11.59 a7: $i)). % 11.41/11.59 tff(tptp_fun__i_val_35_type, type, ( % 11.41/11.59 tptp_fun__i_val_35: $i)). % 11.41/11.59 tff(a6_type, type, ( % 11.41/11.59 a6: $i)). % 11.41/11.59 tff(ndr1_0_type, type, ( % 11.41/11.59 ndr1_0: $o)). % 11.41/11.59 tff(hskp40_type, type, ( % 11.41/11.59 hskp40: $o)). % 11.41/11.59 tff(tptp_fun__i_val_12_type, type, ( % 11.41/11.59 tptp_fun__i_val_12: $i)). % 11.41/11.59 tff(a71_type, type, ( % 11.41/11.59 a71: $i)). % 11.41/11.59 tff(hskp53_type, type, ( % 11.41/11.59 hskp53: $o)). % 11.41/11.59 tff(tptp_fun__i_val_0_type, type, ( % 11.41/11.59 tptp_fun__i_val_0: $i)). % 11.41/11.59 tff(a64_type, type, ( % 11.41/11.59 a64: $i)). % 11.41/11.59 tff(tptp_fun__i_val_9_type, type, ( % 11.41/11.59 tptp_fun__i_val_9: $i)). % 11.41/11.59 tff(a76_type, type, ( % 11.41/11.59 a76: $i)). % 11.41/11.59 tff(tptp_fun__i_val_32_type, type, ( % 11.41/11.59 tptp_fun__i_val_32: $i)). % 11.41/11.59 tff(a11_type, type, ( % 11.41/11.59 a11: $i)). % 11.41/11.59 tff(tptp_fun__i_val_42_type, type, ( % 11.41/11.59 tptp_fun__i_val_42: $i)). % 11.41/11.59 tff(a10_type, type, ( % 11.41/11.59 a10: $i)). % 11.41/11.59 tff(hskp19_type, type, ( % 11.41/11.59 hskp19: $o)). % 11.41/11.59 tff(hskp42_type, type, ( % 11.41/11.59 hskp42: $o)). % 11.41/11.59 tff(tptp_fun__i_val_21_type, type, ( % 11.41/11.59 tptp_fun__i_val_21: $i)). % 11.41/11.59 tff(a35_type, type, ( % 11.41/11.59 a35: $i)). % 11.41/11.59 tff(hskp20_type, type, ( % 11.41/11.59 hskp20: $o)). % 11.41/11.59 tff(hskp25_type, type, ( % 11.41/11.59 hskp25: $o)). % 11.41/11.59 tff(hskp52_type, type, ( % 11.41/11.59 hskp52: $o)). % 11.41/11.59 tff(hskp22_type, type, ( % 11.41/11.59 hskp22: $o)). % 11.41/11.59 tff(tptp_fun__i_val_14_type, type, ( % 11.41/11.59 tptp_fun__i_val_14: $i)). % 11.41/11.59 tff(a62_type, type, ( % 11.41/11.59 a62: $i)). % 11.41/11.59 tff(tptp_fun__i_val_2_type, type, ( % 11.41/11.59 tptp_fun__i_val_2: $i)). % 11.41/11.59 tff(a56_type, type, ( % 11.41/11.59 a56: $i)). % 11.41/11.59 tff(tptp_fun__i_val_39_type, type, ( % 11.41/11.59 tptp_fun__i_val_39: $i)). % 11.41/11.59 tff(a37_type, type, ( % 11.41/11.59 a37: $i)). % 11.41/11.59 tff(hskp50_type, type, ( % 11.41/11.59 hskp50: $o)). % 11.41/11.59 tff(hskp14_type, type, ( % 11.41/11.59 hskp14: $o)). % 11.41/11.59 tff(hskp9_type, type, ( % 11.41/11.59 hskp9: $o)). % 11.41/11.59 tff(tptp_fun__i_val_11_type, type, ( % 11.41/11.59 tptp_fun__i_val_11: $i)). % 11.41/11.59 tff(a73_type, type, ( % 11.41/11.59 a73: $i)). % 11.41/11.59 tff(hskp46_type, type, ( % 11.41/11.59 hskp46: $o)). % 11.41/11.59 tff(tptp_fun__i_val_3_type, type, ( % 11.41/11.59 tptp_fun__i_val_3: $i)). % 11.41/11.59 tff(a47_type, type, ( % 11.41/11.59 a47: $i)). % 11.41/11.59 tff(hskp57_type, type, ( % 11.41/11.59 hskp57: $o)). % 11.41/11.59 tff(hskp29_type, type, ( % 11.41/11.59 hskp29: $o)). % 11.41/11.59 tff(hskp48_type, type, ( % 11.41/11.59 hskp48: $o)). % 11.41/11.59 tff(tptp_fun__i_val_37_type, type, ( % 11.41/11.59 tptp_fun__i_val_37: $i)). % 11.41/11.59 tff(a68_type, type, ( % 11.41/11.59 a68: $i)). % 11.41/11.59 tff(hskp38_type, type, ( % 11.41/11.59 hskp38: $o)). % 11.41/11.59 tff(hskp47_type, type, ( % 11.41/11.59 hskp47: $o)). % 11.41/11.59 tff(hskp10_type, type, ( % 11.41/11.59 hskp10: $o)). % 11.41/11.59 tff(tptp_fun__i_val_5_type, type, ( % 11.41/11.59 tptp_fun__i_val_5: $i)). % 11.41/11.59 tff(a42_type, type, ( % 11.41/11.59 a42: $i)). % 11.41/11.59 tff(hskp44_type, type, ( % 11.41/11.59 hskp44: $o)). % 11.41/11.59 tff(hskp41_type, type, ( % 11.41/11.59 hskp41: $o)). % 11.41/11.59 tff(hskp30_type, type, ( % 11.41/11.59 hskp30: $o)). % 11.41/11.59 tff(hskp35_type, type, ( % 11.41/11.59 hskp35: $o)). % 11.41/11.59 tff(tptp_fun__i_val_16_type, type, ( % 11.41/11.59 tptp_fun__i_val_16: $i)). % 11.41/11.59 tff(a54_type, type, ( % 11.41/11.59 a54: $i)). % 11.41/11.59 tff(hskp39_type, type, ( % 11.41/11.59 hskp39: $o)). % 11.41/11.59 tff(tptp_fun__i_val_27_type, type, ( % 11.41/11.59 tptp_fun__i_val_27: $i)). % 11.41/11.59 tff(a24_type, type, ( % 11.41/11.59 a24: $i)). % 11.41/11.59 tff(hskp28_type, type, ( % 11.41/11.59 hskp28: $o)). % 11.41/11.59 tff(hskp32_type, type, ( % 11.41/11.59 hskp32: $o)). % 11.41/11.59 tff(hskp16_type, type, ( % 11.41/11.59 hskp16: $o)). % 11.41/11.59 tff(hskp0_type, type, ( % 11.41/11.59 hskp0: $o)). % 11.41/11.59 tff(hskp49_type, type, ( % 11.41/11.59 hskp49: $o)). % 11.41/11.59 tff(tptp_fun__i_val_41_type, type, ( % 11.41/11.59 tptp_fun__i_val_41: $i)). % 11.41/11.59 tff(a17_type, type, ( % 11.41/11.59 a17: $i)). % 11.41/11.59 tff(tptp_fun__i_val_30_type, type, ( % 11.41/11.59 tptp_fun__i_val_30: $i)). % 11.41/11.59 tff(a15_type, type, ( % 11.41/11.59 a15: $i)). % 11.41/11.59 tff(hskp34_type, type, ( % 11.41/11.59 hskp34: $o)). % 11.41/11.59 tff(hskp11_type, type, ( % 11.41/11.59 hskp11: $o)). % 11.41/11.59 tff(hskp24_type, type, ( % 11.41/11.59 hskp24: $o)). % 11.41/11.59 tff(hskp13_type, type, ( % 11.41/11.59 hskp13: $o)). % 11.41/11.59 tff(hskp7_type, type, ( % 11.41/11.59 hskp7: $o)). % 11.41/11.59 tff(hskp3_type, type, ( % 11.41/11.59 hskp3: $o)). % 11.41/11.59 tff(hskp5_type, type, ( % 11.41/11.59 hskp5: $o)). % 11.41/11.59 tff(tptp_fun__i_val_36_type, type, ( % 11.41/11.59 tptp_fun__i_val_36: $i)). % 11.41/11.59 tff(a5_type, type, ( % 11.41/11.59 a5: $i)). % 11.41/11.59 tff(hskp6_type, type, ( % 11.41/11.59 hskp6: $o)). % 11.41/11.59 tff(tptp_fun__i_val_20_type, type, ( % 11.41/11.59 tptp_fun__i_val_20: $i)). % 11.41/11.59 tff(a45_type, type, ( % 11.41/11.59 a45: $i)). % 11.41/11.59 tff(hskp58_type, type, ( % 11.41/11.59 hskp58: $o)). % 11.41/11.59 tff(hskp51_type, type, ( % 11.41/11.59 hskp51: $o)). % 11.41/11.59 tff(hskp33_type, type, ( % 11.41/11.59 hskp33: $o)). % 11.41/11.59 tff(tptp_fun__i_val_8_type, type, ( % 11.41/11.59 tptp_fun__i_val_8: $i)). % 11.41/11.59 tff(a2_type, type, ( % 11.41/11.59 a2: $i)). % 11.41/11.59 tff(tptp_fun__i_val_13_type, type, ( % 11.41/11.59 tptp_fun__i_val_13: $i)). % 11.41/11.59 tff(a67_type, type, ( % 11.41/11.59 a67: $i)). % 11.41/11.59 tff(hskp36_type, type, ( % 11.41/11.59 hskp36: $o)). % 11.41/11.59 tff(tptp_fun__i_val_28_type, type, ( % 11.41/11.59 tptp_fun__i_val_28: $i)). % 11.41/11.59 tff(a23_type, type, ( % 11.41/11.59 a23: $i)). % 11.41/11.59 tff(hskp55_type, type, ( % 11.41/11.59 hskp55: $o)). % 11.41/11.59 tff(tptp_fun__i_val_33_type, type, ( % 11.41/11.59 tptp_fun__i_val_33: $i)). % 11.41/11.59 tff(a9_type, type, ( % 11.41/11.59 a9: $i)). % 11.41/11.59 tff(hskp18_type, type, ( % 11.41/11.59 hskp18: $o)). % 11.41/11.59 tff(tptp_fun__i_val_26_type, type, ( % 11.41/11.59 tptp_fun__i_val_26: $i)). % 11.41/11.59 tff(a25_type, type, ( % 11.41/11.59 a25: $i)). % 11.41/11.59 tff(hskp8_type, type, ( % 11.41/11.59 hskp8: $o)). % 11.41/11.59 tff(hskp4_type, type, ( % 11.41/11.59 hskp4: $o)). % 11.41/11.59 tff(k!920_type, type, ( % 11.41/11.59 k!920: $i > $i)). % 11.41/11.59 tff(c2_1_type, type, ( % 11.41/11.59 c2_1: $i > $o)). % 11.41/11.59 tff(c3_1_type, type, ( % 11.41/11.59 c3_1: $i > $o)). % 11.41/11.59 tff(c1_1_type, type, ( % 11.41/11.59 c1_1: $i > $o)). % 11.41/11.59 tff(c4_1_type, type, ( % 11.41/11.59 c4_1: $i > $o)). % 11.41/11.59 tff(c5_1_type, type, ( % 11.41/11.59 c5_1: $i > $o)). % 11.41/11.59 tff(c0_1_type, type, ( % 11.41/11.59 c0_1: $i > $o)). % 11.41/11.59 tff(formula1, axiom, % 11.41/11.59 a59 = $i!val!38). % 11.41/11.59 tff(formula2, axiom, % 11.41/11.59 hskp15 <=> $false). % 11.41/11.59 tff(formula3, axiom, % 11.41/11.59 a44 = $i!val!4). % 11.41/11.59 tff(formula4, axiom, % 11.41/11.59 hskp1 <=> $true). % 11.41/11.59 tff(formula5, axiom, % 11.41/11.59 a20 = $i!val!29). % 11.41/11.59 tff(formula6, axiom, % 11.41/11.59 hskp27 <=> $false). % 11.41/11.59 tff(formula7, axiom, % 11.41/11.59 a27 = $i!val!40). % 11.41/11.59 tff(formula8, axiom, % 11.41/11.59 hskp37 <=> $true). % 11.41/11.59 tff(formula9, axiom, % 11.41/11.59 a40 = $i!val!6). % 11.41/11.59 tff(formula10, axiom, % 11.41/11.59 a31 = $i!val!24). % 11.41/11.59 tff(formula11, axiom, % 11.41/11.59 hskp31 <=> $false). % 11.41/11.59 tff(formula12, axiom, % 11.41/11.59 a46 = $i!val!19). % 11.41/11.59 tff(formula13, axiom, % 11.41/11.59 a4 = $i!val!7). % 11.41/11.59 tff(formula14, axiom, % 11.41/11.59 a3 = $i!val!43). % 11.41/11.59 tff(formula15, axiom, % 11.41/11.59 a12 = $i!val!31). % 11.41/11.59 tff(formula16, axiom, % 11.41/11.59 hskp45 <=> $false). % 11.41/11.59 tff(formula17, axiom, % 11.41/11.59 a29 = $i!val!25). % 11.41/11.59 tff(formula18, axiom, % 11.41/11.59 a75 = $i!val!10). % 11.41/11.59 tff(formula19, axiom, % 11.41/11.59 hskp21 <=> $true). % 11.41/11.59 tff(formula20, axiom, % 11.41/11.59 hskp23 <=> $true). % 11.41/11.59 tff(formula21, axiom, % 11.41/11.59 hskp17 <=> $true). % 11.41/11.59 tff(formula22, axiom, % 11.41/11.59 a51 = $i!val!17). % 11.41/11.59 tff(formula23, axiom, % 11.41/11.59 a32 = $i!val!23). % 11.41/11.59 tff(formula24, axiom, % 11.41/11.59 hskp56 <=> $false). % 11.41/11.59 tff(formula25, axiom, % 11.41/11.59 a34 = $i!val!22). % 11.41/11.59 tff(formula26, axiom, % 11.41/11.59 a60 = $i!val!1). % 11.41/11.59 tff(formula27, axiom, % 11.41/11.59 hskp54 <=> $false). % 11.41/11.59 tff(formula28, axiom, % 11.41/11.59 hskp2 <=> $true). % 11.41/11.59 tff(formula29, axiom, % 11.41/11.59 hskp26 <=> $true). % 11.41/11.59 tff(formula30, axiom, % 11.41/11.59 a61 = $i!val!15). % 11.41/11.59 tff(formula31, axiom, % 11.41/11.59 a49 = $i!val!18). % 11.41/11.59 tff(formula32, axiom, % 11.41/11.59 hskp12 <=> $false). % 11.41/11.59 tff(formula33, axiom, % 11.41/11.59 a7 = $i!val!34). % 11.41/11.59 tff(formula34, axiom, % 11.41/11.59 a6 = $i!val!35). % 11.41/11.59 tff(formula35, axiom, % 11.41/11.59 ndr1_0 <=> $true). % 11.41/11.59 tff(formula36, axiom, % 11.41/11.59 hskp40 <=> $false). % 11.41/11.59 tff(formula37, axiom, % 11.41/11.59 a71 = $i!val!12). % 11.41/11.59 tff(formula38, axiom, % 11.41/11.59 hskp53 <=> $true). % 11.41/11.59 tff(formula39, axiom, % 11.41/11.59 a64 = $i!val!0). % 11.41/11.59 tff(formula40, axiom, % 11.41/11.59 a76 = $i!val!9). % 11.41/11.59 tff(formula41, axiom, % 11.41/11.59 a11 = $i!val!32). % 11.41/11.59 tff(formula42, axiom, % 11.41/11.59 a10 = $i!val!42). % 11.41/11.59 tff(formula43, axiom, % 11.41/11.59 hskp19 <=> $true). % 11.41/11.59 tff(formula44, axiom, % 11.41/11.59 hskp42 <=> $false). % 11.41/11.59 tff(formula45, axiom, % 11.41/11.59 a35 = $i!val!21). % 11.41/11.59 tff(formula46, axiom, % 11.41/11.59 hskp20 <=> $false). % 11.41/11.59 tff(formula47, axiom, % 11.41/11.59 hskp25 <=> $true). % 11.41/11.59 tff(formula48, axiom, % 11.41/11.59 hskp52 <=> $true). % 11.41/11.59 tff(formula49, axiom, % 11.41/11.59 hskp22 <=> $false). % 11.41/11.59 tff(formula50, axiom, % 11.41/11.59 a62 = $i!val!14). % 11.41/11.59 tff(formula51, axiom, % 11.41/11.59 a56 = $i!val!2). % 11.41/11.59 tff(formula52, axiom, % 11.41/11.59 a37 = $i!val!39). % 11.41/11.59 tff(formula53, axiom, % 11.41/11.59 hskp50 <=> $false). % 11.41/11.59 tff(formula54, axiom, % 11.41/11.59 hskp14 <=> $false). % 11.41/11.59 tff(formula55, axiom, % 11.41/11.59 hskp9 <=> $false). % 11.41/11.59 tff(formula56, axiom, % 11.41/11.59 a73 = $i!val!11). % 11.41/11.59 tff(formula57, axiom, % 11.41/11.59 hskp46 <=> $false). % 11.41/11.59 tff(formula58, axiom, % 11.41/11.59 a47 = $i!val!3). % 11.41/11.59 tff(formula59, axiom, % 11.41/11.59 hskp57 <=> $false). % 11.41/11.59 tff(formula60, axiom, % 11.41/11.59 hskp29 <=> $true). % 11.41/11.59 tff(formula61, axiom, % 11.41/11.59 hskp48 <=> $false). % 11.41/11.59 tff(formula62, axiom, % 11.41/11.59 a68 = $i!val!37). % 11.41/11.59 tff(formula63, axiom, % 11.41/11.59 hskp38 <=> $false). % 11.41/11.59 tff(formula64, axiom, % 11.41/11.59 hskp47 <=> $false). % 11.41/11.59 tff(formula65, axiom, % 11.41/11.59 hskp10 <=> $false). % 11.41/11.59 tff(formula66, axiom, % 11.41/11.59 a42 = $i!val!5). % 11.41/11.59 tff(formula67, axiom, % 11.41/11.59 hskp44 <=> $true). % 11.41/11.59 tff(formula68, axiom, % 11.41/11.59 hskp41 <=> $true). % 11.41/11.59 tff(formula69, axiom, % 11.41/11.59 hskp30 <=> $false). % 11.41/11.59 tff(formula70, axiom, % 11.41/11.59 hskp35 <=> $true). % 11.41/11.59 tff(formula71, axiom, % 11.41/11.59 a54 = $i!val!16). % 11.41/11.59 tff(formula72, axiom, % 11.41/11.59 hskp39 <=> $true). % 11.41/11.59 tff(formula73, axiom, % 11.41/11.59 a24 = $i!val!27). % 11.41/11.59 tff(formula74, axiom, % 11.41/11.59 hskp28 <=> $false). % 11.41/11.59 tff(formula75, axiom, % 11.41/11.59 hskp32 <=> $false). % 11.41/11.59 tff(formula76, axiom, % 11.41/11.59 hskp16 <=> $false). % 11.41/11.59 tff(formula77, axiom, % 11.41/11.59 hskp0 <=> $false). % 11.41/11.59 tff(formula78, axiom, % 11.41/11.59 hskp49 <=> $true). % 11.41/11.59 tff(formula79, axiom, % 11.41/11.59 a17 = $i!val!41). % 11.41/11.59 tff(formula80, axiom, % 11.41/11.59 a15 = $i!val!30). % 11.41/11.59 tff(formula81, axiom, % 11.41/11.59 hskp34 <=> $false). % 11.41/11.59 tff(formula82, axiom, % 11.41/11.59 hskp11 <=> $false). % 11.41/11.59 tff(formula83, axiom, % 11.41/11.59 hskp24 <=> $false). % 11.41/11.59 tff(formula84, axiom, % 11.41/11.59 hskp13 <=> $false). % 11.41/11.59 tff(formula85, axiom, % 11.41/11.59 hskp7 <=> $false). % 11.41/11.59 tff(formula86, axiom, % 11.41/11.59 hskp3 <=> $false). % 11.41/11.59 tff(formula87, axiom, % 11.41/11.59 hskp5 <=> $false). % 11.41/11.59 tff(formula88, axiom, % 11.41/11.59 a5 = $i!val!36). % 11.41/11.59 tff(formula89, axiom, % 11.41/11.59 hskp6 <=> $true). % 11.41/11.59 tff(formula90, axiom, % 11.41/11.59 a45 = $i!val!20). % 11.41/11.59 tff(formula91, axiom, % 11.41/11.59 hskp58 <=> $true). % 11.41/11.59 tff(formula92, axiom, % 11.41/11.59 hskp51 <=> $true). % 11.41/11.59 tff(formula93, axiom, % 11.41/11.59 hskp33 <=> $true). % 11.41/11.59 tff(formula94, axiom, % 11.41/11.59 a2 = $i!val!8). % 11.41/11.59 tff(formula95, axiom, % 11.41/11.59 a67 = $i!val!13). % 11.41/11.59 tff(formula96, axiom, % 11.41/11.59 hskp36 <=> $false). % 11.41/11.59 tff(formula97, axiom, % 11.41/11.59 a23 = $i!val!28). % 11.41/11.59 tff(formula98, axiom, % 11.41/11.59 hskp55 <=> $false). % 11.41/11.59 tff(formula99, axiom, % 11.41/11.59 a9 = $i!val!33). % 11.41/11.59 tff(formula100, axiom, % 11.41/11.59 hskp18 <=> $false). % 11.41/11.59 tff(formula101, axiom, % 11.41/11.59 a25 = $i!val!26). % 11.41/11.59 tff(formula102, axiom, % 11.41/11.59 hskp8 <=> $true). % 11.41/11.59 tff(formula103, axiom, % 11.41/11.59 hskp4 <=> $true). % 11.41/11.59 tff(formula104, axiom, % 11.41/11.59 ![X0: $i] : (c2_1(X0) <=> ((k!920(X0) = $i!val!6) | (k!920(X0) = $i!val!0) | (k!920(X0) = $i!val!5) | (k!920(X0) = $i!val!21) | (k!920(X0) = $i!val!18) | (k!920(X0) = $i!val!28) | (k!920(X0) = $i!val!26) | (k!920(X0) = $i!val!42) | (k!920(X0) = $i!val!34) | (k!920(X0) = $i!val!24) | (k!920(X0) = $i!val!40)))). % 11.41/11.59 tff(formula105, axiom, % 11.41/11.59 ![X0: $i] : (c3_1(X0) <=> ((~(k!920(X0) = $i!val!5)) & (~(k!920(X0) = $i!val!14)) & (~(k!920(X0) = $i!val!36)) & (~(k!920(X0) = $i!val!1)) & (~(k!920(X0) = $i!val!7)) & (~(k!920(X0) = $i!val!43)) & (~(k!920(X0) = $i!val!34)) & (~(k!920(X0) = $i!val!33)) & (~(k!920(X0) = $i!val!42)) & (~(k!920(X0) = $i!val!21)) & (~(k!920(X0) = $i!val!20)) & (~(k!920(X0) = $i!val!37)) & (~(k!920(X0) = $i!val!2))))). % 11.41/11.59 tff(formula106, axiom, % 11.41/11.59 k!920($i!val!39) = $i!val!39). % 11.41/11.59 tff(formula107, axiom, % 11.41/11.59 k!920($i!val!11) = $i!val!11). % 11.41/11.59 tff(formula108, axiom, % 11.41/11.59 k!920($i!val!22) = $i!val!22). % 11.41/11.59 tff(formula109, axiom, % 11.41/11.59 k!920($i!val!1) = $i!val!1). % 11.41/11.59 tff(formula110, axiom, % 11.41/11.59 k!920($i!val!15) = $i!val!15). % 11.41/11.59 tff(formula111, axiom, % 11.41/11.59 k!920($i!val!3) = $i!val!3). % 11.41/11.59 tff(formula112, axiom, % 11.41/11.59 k!920($i!val!18) = $i!val!18). % 11.41/11.59 tff(formula113, axiom, % 11.41/11.59 k!920($i!val!4) = $i!val!4). % 11.41/11.59 tff(formula114, axiom, % 11.41/11.59 k!920($i!val!41) = $i!val!41). % 11.41/11.59 tff(formula115, axiom, % 11.41/11.59 k!920($i!val!30) = $i!val!30). % 11.41/11.59 tff(formula116, axiom, % 11.41/11.59 k!920($i!val!29) = $i!val!29). % 11.41/11.59 tff(formula117, axiom, % 11.41/11.59 k!920($i!val!34) = $i!val!34). % 11.41/11.59 tff(formula118, axiom, % 11.41/11.59 k!920($i!val!35) = $i!val!35). % 11.41/11.59 tff(formula119, axiom, % 11.41/11.59 k!920($i!val!40) = $i!val!40). % 11.41/11.59 tff(formula120, axiom, % 11.41/11.59 k!920($i!val!37) = $i!val!37). % 11.41/11.59 tff(formula121, axiom, % 11.41/11.59 k!920($i!val!36) = $i!val!36). % 11.41/11.59 tff(formula122, axiom, % 11.41/11.59 k!920($i!val!6) = $i!val!6). % 11.41/11.59 tff(formula123, axiom, % 11.41/11.59 k!920($i!val!12) = $i!val!12). % 11.41/11.59 tff(formula124, axiom, % 11.41/11.59 k!920($i!val!20) = $i!val!20). % 11.41/11.59 tff(formula125, axiom, % 11.41/11.59 k!920($i!val!5) = $i!val!5). % 11.41/11.59 tff(formula126, axiom, % 11.41/11.59 k!920($i!val!24) = $i!val!24). % 11.41/11.59 tff(formula127, axiom, % 11.41/11.59 k!920($i!val!9) = $i!val!9). % 11.41/11.59 tff(formula128, axiom, % 11.41/11.59 k!920($i!val!8) = $i!val!8). % 11.41/11.59 tff(formula129, axiom, % 11.41/11.59 k!920($i!val!0) = $i!val!0). % 11.41/11.59 tff(formula130, axiom, % 11.41/11.59 k!920($i!val!32) = $i!val!32). % 11.41/11.59 tff(formula131, axiom, % 11.41/11.59 k!920($i!val!19) = $i!val!19). % 11.41/11.59 tff(formula132, axiom, % 11.41/11.59 k!920($i!val!7) = $i!val!7). % 11.41/11.59 tff(formula133, axiom, % 11.41/11.59 k!920($i!val!43) = $i!val!43). % 11.41/11.59 tff(formula134, axiom, % 11.41/11.59 k!920($i!val!31) = $i!val!31). % 11.41/11.59 tff(formula135, axiom, % 11.41/11.59 k!920($i!val!13) = $i!val!13). % 11.41/11.59 tff(formula136, axiom, % 11.41/11.59 k!920($i!val!42) = $i!val!42). % 11.41/11.59 tff(formula137, axiom, % 11.41/11.59 k!920($i!val!16) = $i!val!16). % 11.41/11.59 tff(formula138, axiom, % 11.41/11.59 k!920($i!val!25) = $i!val!25). % 11.41/11.59 tff(formula139, axiom, % 11.41/11.59 k!920($i!val!21) = $i!val!21). % 11.41/11.59 tff(formula140, axiom, % 11.41/11.59 k!920($i!val!28) = $i!val!28). % 11.41/11.59 tff(formula141, axiom, % 11.41/11.59 k!920($i!val!27) = $i!val!27). % 11.41/11.59 tff(formula142, axiom, % 11.41/11.59 k!920($i!val!33) = $i!val!33). % 11.41/11.59 tff(formula143, axiom, % 11.41/11.59 k!920($i!val!10) = $i!val!10). % 11.41/11.59 tff(formula144, axiom, % 11.41/11.59 k!920($i!val!26) = $i!val!26). % 11.41/11.59 tff(formula145, axiom, % 11.41/11.59 k!920($i!val!14) = $i!val!14). % 11.41/11.59 tff(formula146, axiom, % 11.41/11.59 k!920($i!val!17) = $i!val!17). % 11.41/11.59 tff(formula147, axiom, % 11.41/11.59 k!920($i!val!23) = $i!val!23). % 11.41/11.59 tff(formula148, axiom, % 11.41/11.59 k!920($i!val!2) = $i!val!2). % 11.41/11.59 tff(formula149, axiom, % 11.41/11.59 ![X0: $i] : ((~((($i!val!39 = X0)) | (($i!val!11 = X0)) | (($i!val!22 = X0)) | (($i!val!1 = X0)) | (($i!val!15 = X0)) | (($i!val!3 = X0)) | (($i!val!18 = X0)) | (($i!val!4 = X0)) | (($i!val!41 = X0)) | (($i!val!30 = X0)) | (($i!val!29 = X0)) | (($i!val!34 = X0)) | (($i!val!35 = X0)) | (($i!val!40 = X0)) | (($i!val!37 = X0)) | (($i!val!36 = X0)) | (($i!val!6 = X0)) | (($i!val!12 = X0)) | (($i!val!20 = X0)) | (($i!val!5 = X0)) | (($i!val!24 = X0)) | (($i!val!9 = X0)) | (($i!val!8 = X0)) | (($i!val!0 = X0)) | (($i!val!32 = X0)) | (($i!val!19 = X0)) | (($i!val!7 = X0)) | (($i!val!43 = X0)) | (($i!val!31 = X0)) | (($i!val!13 = X0)) | (($i!val!42 = X0)) | (($i!val!16 = X0)) | (($i!val!25 = X0)) | (($i!val!21 = X0)) | (($i!val!28 = X0)) | (($i!val!27 = X0)) | (($i!val!33 = X0)) | (($i!val!10 = X0)) | (($i!val!26 = X0)) | (($i!val!14 = X0)) | (($i!val!17 = X0)) | (($i!val!23 = X0)) | (($i!val!2 = X0)))) => (k!920(X0) = $i!val!38))). % 11.41/11.59 tff(formula150, axiom, % 11.41/11.59 ![X0: $i] : (c1_1(X0) <=> ((~(k!920(X0) = $i!val!13)) & (~(k!920(X0) = $i!val!27)) & (~(k!920(X0) = $i!val!15)) & (~(k!920(X0) = $i!val!35)) & (~(k!920(X0) = $i!val!22)) & (~(k!920(X0) = $i!val!12)) & (~(k!920(X0) = $i!val!19)) & (~(k!920(X0) = $i!val!29)) & (~(k!920(X0) = $i!val!31)) & (~(k!920(X0) = $i!val!30)) & (~(k!920(X0) = $i!val!41)) & (~(k!920(X0) = $i!val!28)) & (~(k!920(X0) = $i!val!26)) & (~(k!920(X0) = $i!val!40)) & (~(k!920(X0) = $i!val!39)) & (~(k!920(X0) = $i!val!16)) & (~(k!920(X0) = $i!val!11)) & (~(k!920(X0) = $i!val!10)) & (~(k!920(X0) = $i!val!9)) & (~(k!920(X0) = $i!val!3))))). % 11.41/11.60 tff(formula151, axiom, % 11.41/11.60 ![X0: $i] : (c4_1(X0) <=> ((k!920(X0) = $i!val!4) | (k!920(X0) = $i!val!20) | (k!920(X0) = $i!val!6) | (k!920(X0) = $i!val!8)))). % 11.41/11.60 tff(formula152, axiom, % 11.41/11.60 ![X0: $i] : (c5_1(X0) <=> ((k!920(X0) = $i!val!4) | (k!920(X0) = $i!val!14) | (k!920(X0) = $i!val!20) | (k!920(X0) = $i!val!6) | (k!920(X0) = $i!val!5) | (k!920(X0) = $i!val!21) | (k!920(X0) = $i!val!24) | (k!920(X0) = $i!val!8)))). % 11.41/11.60 tff(formula153, axiom, % 11.41/11.60 ![X0: $i] : (c0_1(X0) <=> ((k!920(X0) = $i!val!4) | (k!920(X0) = $i!val!20) | (k!920(X0) = $i!val!6) | (k!920(X0) = $i!val!24) | (k!920(X0) = $i!val!8)))). % 11.41/11.60 % SZS output end Model % 11.41/11.60 % E exiting %------------------------------------------------------------------------------