%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : SYN435-1 : TPTP v9.0.0. Released v2.1.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n014.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 05:39:05 AM UTC 2025 % Result : Satisfiable 1.21s 1.38s % Output : Model 1.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.02/0.12 % Problem : SYN435-1 : TPTP v9.0.0. Released v2.1.0. % 0.02/0.12 % Command : run_E %s %d THM % 0.11/0.33 % Computer : n014.cluster.edu % 0.11/0.33 % Model : x86_64 x86_64 % 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.33 % Memory : 8042.1875MB % 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.33 % CPULimit : 300 % 0.11/0.33 % WCLimit : 300 % 0.11/0.33 % DateTime : Fri Jun 20 12:35:24 EDT 2025 % 0.11/0.33 % CPUTime : % 1.21/1.38 % SZS status Satisfiable % 1.21/1.38 % SZS output start Model % 1.21/1.38 tff(hskp50_type, type, ( % 1.21/1.38 hskp50: $o)). % 1.21/1.38 tff(hskp14_type, type, ( % 1.21/1.38 hskp14: $o)). % 1.21/1.38 tff(hskp9_type, type, ( % 1.21/1.38 hskp9: $o)). % 1.21/1.38 tff(tptp_fun__i_val_10_type, type, ( % 1.21/1.38 tptp_fun__i_val_10: $i)). % 1.21/1.38 tff(a311_type, type, ( % 1.21/1.38 a311: $i)). % 1.21/1.38 tff(hskp15_type, type, ( % 1.21/1.38 hskp15: $o)). % 1.21/1.38 tff(hskp46_type, type, ( % 1.21/1.38 hskp46: $o)). % 1.21/1.38 tff(tptp_fun__i_val_6_type, type, ( % 1.21/1.38 tptp_fun__i_val_6: $i)). % 1.21/1.38 tff(a298_type, type, ( % 1.21/1.38 a298: $i)). % 1.21/1.38 tff(tptp_fun__i_val_2_type, type, ( % 1.21/1.38 tptp_fun__i_val_2: $i)). % 1.21/1.38 tff(a334_type, type, ( % 1.21/1.38 a334: $i)). % 1.21/1.38 tff(hskp29_type, type, ( % 1.21/1.38 hskp29: $o)). % 1.21/1.38 tff(hskp1_type, type, ( % 1.21/1.38 hskp1: $o)). % 1.21/1.38 tff(hskp27_type, type, ( % 1.21/1.38 hskp27: $o)). % 1.21/1.38 tff(hskp48_type, type, ( % 1.21/1.38 hskp48: $o)). % 1.21/1.38 tff(tptp_fun__i_val_15_type, type, ( % 1.21/1.38 tptp_fun__i_val_15: $i)). % 1.21/1.38 tff(a337_type, type, ( % 1.21/1.38 a337: $i)). % 1.21/1.38 tff(tptp_fun__i_val_16_type, type, ( % 1.21/1.38 tptp_fun__i_val_16: $i)). % 1.21/1.38 tff(a324_type, type, ( % 1.21/1.38 a324: $i)). % 1.21/1.38 tff(tptp_fun__i_val_7_type, type, ( % 1.21/1.38 tptp_fun__i_val_7: $i)). % 1.21/1.38 tff(a296_type, type, ( % 1.21/1.38 a296: $i)). % 1.21/1.38 tff(hskp38_type, type, ( % 1.21/1.38 hskp38: $o)). % 1.21/1.38 tff(hskp37_type, type, ( % 1.21/1.38 hskp37: $o)). % 1.21/1.38 tff(tptp_fun__i_val_3_type, type, ( % 1.21/1.38 tptp_fun__i_val_3: $i)). % 1.21/1.38 tff(a331_type, type, ( % 1.21/1.38 a331: $i)). % 1.21/1.38 tff(tptp_fun__i_val_4_type, type, ( % 1.21/1.38 tptp_fun__i_val_4: $i)). % 1.21/1.38 tff(a316_type, type, ( % 1.21/1.38 a316: $i)). % 1.21/1.38 tff(hskp10_type, type, ( % 1.21/1.38 hskp10: $o)). % 1.21/1.38 tff(tptp_fun__i_val_5_type, type, ( % 1.21/1.38 tptp_fun__i_val_5: $i)). % 1.21/1.38 tff(a304_type, type, ( % 1.21/1.38 a304: $i)). % 1.21/1.38 tff(hskp47_type, type, ( % 1.21/1.38 hskp47: $o)). % 1.21/1.38 tff(hskp44_type, type, ( % 1.21/1.38 hskp44: $o)). % 1.21/1.38 tff(hskp41_type, type, ( % 1.21/1.38 hskp41: $o)). % 1.21/1.38 tff(hskp31_type, type, ( % 1.21/1.38 hskp31: $o)). % 1.21/1.38 tff(tptp_fun__i_val_13_type, type, ( % 1.21/1.38 tptp_fun__i_val_13: $i)). % 1.21/1.38 tff(a283_type, type, ( % 1.21/1.38 a283: $i)). % 1.21/1.38 tff(hskp30_type, type, ( % 1.21/1.38 hskp30: $o)). % 1.21/1.38 tff(hskp35_type, type, ( % 1.21/1.38 hskp35: $o)). % 1.21/1.38 tff(hskp45_type, type, ( % 1.21/1.38 hskp45: $o)). % 1.21/1.38 tff(hskp39_type, type, ( % 1.21/1.38 hskp39: $o)). % 1.21/1.38 tff(hskp21_type, type, ( % 1.21/1.38 hskp21: $o)). % 1.21/1.38 tff(tptp_fun__i_val_12_type, type, ( % 1.21/1.38 tptp_fun__i_val_12: $i)). % 1.21/1.38 tff(a291_type, type, ( % 1.21/1.38 a291: $i)). % 1.21/1.38 tff(hskp28_type, type, ( % 1.21/1.38 hskp28: $o)). % 1.21/1.38 tff(hskp23_type, type, ( % 1.21/1.38 hskp23: $o)). % 1.21/1.38 tff(hskp17_type, type, ( % 1.21/1.38 hskp17: $o)). % 1.21/1.38 tff(hskp16_type, type, ( % 1.21/1.38 hskp16: $o)). % 1.21/1.38 tff(hskp32_type, type, ( % 1.21/1.38 hskp32: $o)). % 1.21/1.38 tff(tptp_fun__i_val_1_type, type, ( % 1.21/1.38 tptp_fun__i_val_1: $i)). % 1.21/1.38 tff(a340_type, type, ( % 1.21/1.38 a340: $i)). % 1.21/1.38 tff(hskp0_type, type, ( % 1.21/1.38 hskp0: $o)). % 1.21/1.38 tff(hskp2_type, type, ( % 1.21/1.38 hskp2: $o)). % 1.21/1.38 tff(tptp_fun__i_val_8_type, type, ( % 1.21/1.38 tptp_fun__i_val_8: $i)). % 1.21/1.38 tff(a287_type, type, ( % 1.21/1.38 a287: $i)). % 1.21/1.38 tff(hskp49_type, type, ( % 1.21/1.38 hskp49: $o)). % 1.21/1.38 tff(hskp26_type, type, ( % 1.21/1.38 hskp26: $o)). % 1.21/1.38 tff(tptp_fun__i_val_11_type, type, ( % 1.21/1.38 tptp_fun__i_val_11: $i)). % 1.21/1.38 tff(a299_type, type, ( % 1.21/1.38 a299: $i)). % 1.21/1.38 tff(hskp34_type, type, ( % 1.21/1.38 hskp34: $o)). % 1.21/1.38 tff(hskp11_type, type, ( % 1.21/1.38 hskp11: $o)). % 1.21/1.38 tff(hskp24_type, type, ( % 1.21/1.38 hskp24: $o)). % 1.21/1.38 tff(hskp12_type, type, ( % 1.21/1.38 hskp12: $o)). % 1.21/1.38 tff(ndr1_0_type, type, ( % 1.21/1.38 ndr1_0: $o)). % 1.21/1.38 tff(hskp40_type, type, ( % 1.21/1.38 hskp40: $o)). % 1.21/1.38 tff(hskp13_type, type, ( % 1.21/1.38 hskp13: $o)). % 1.21/1.38 tff(hskp7_type, type, ( % 1.21/1.38 hskp7: $o)). % 1.21/1.38 tff(hskp3_type, type, ( % 1.21/1.38 hskp3: $o)). % 1.21/1.38 tff(hskp5_type, type, ( % 1.21/1.38 hskp5: $o)). % 1.21/1.38 tff(hskp6_type, type, ( % 1.21/1.38 hskp6: $o)). % 1.21/1.38 tff(tptp_fun__i_val_0_type, type, ( % 1.21/1.38 tptp_fun__i_val_0: $i)). % 1.21/1.38 tff(a344_type, type, ( % 1.21/1.38 a344: $i)). % 1.21/1.38 tff(hskp51_type, type, ( % 1.21/1.38 hskp51: $o)). % 1.21/1.38 tff(hskp33_type, type, ( % 1.21/1.38 hskp33: $o)). % 1.21/1.38 tff(tptp_fun__i_val_9_type, type, ( % 1.21/1.38 tptp_fun__i_val_9: $i)). % 1.21/1.38 tff(a327_type, type, ( % 1.21/1.38 a327: $i)). % 1.21/1.38 tff(hskp36_type, type, ( % 1.21/1.38 hskp36: $o)). % 1.21/1.38 tff(hskp19_type, type, ( % 1.21/1.38 hskp19: $o)). % 1.21/1.38 tff(hskp42_type, type, ( % 1.21/1.38 hskp42: $o)). % 1.21/1.38 tff(hskp20_type, type, ( % 1.21/1.38 hskp20: $o)). % 1.21/1.38 tff(hskp25_type, type, ( % 1.21/1.38 hskp25: $o)). % 1.21/1.38 tff(hskp18_type, type, ( % 1.21/1.38 hskp18: $o)). % 1.21/1.38 tff(hskp43_type, type, ( % 1.21/1.38 hskp43: $o)). % 1.21/1.38 tff(tptp_fun__i_val_18_type, type, ( % 1.21/1.38 tptp_fun__i_val_18: $i)). % 1.21/1.38 tff(a290_type, type, ( % 1.21/1.38 a290: $i)). % 1.21/1.38 tff(hskp52_type, type, ( % 1.21/1.38 hskp52: $o)). % 1.21/1.38 tff(hskp22_type, type, ( % 1.21/1.38 hskp22: $o)). % 1.21/1.38 tff(tptp_fun__i_val_17_type, type, ( % 1.21/1.38 tptp_fun__i_val_17: $i)). % 1.21/1.38 tff(a310_type, type, ( % 1.21/1.38 a310: $i)). % 1.21/1.38 tff(tptp_fun__i_val_14_type, type, ( % 1.21/1.38 tptp_fun__i_val_14: $i)). % 1.21/1.38 tff(a347_type, type, ( % 1.21/1.38 a347: $i)). % 1.21/1.38 tff(hskp8_type, type, ( % 1.21/1.38 hskp8: $o)). % 1.21/1.38 tff(hskp4_type, type, ( % 1.21/1.38 hskp4: $o)). % 1.21/1.38 tff(k!114_type, type, ( % 1.21/1.38 k!114: $i > $i)). % 1.21/1.38 tff(c1_1_type, type, ( % 1.21/1.38 c1_1: $i > $o)). % 1.21/1.38 tff(c3_1_type, type, ( % 1.21/1.38 c3_1: $i > $o)). % 1.21/1.38 tff(c2_1_type, type, ( % 1.21/1.38 c2_1: $i > $o)). % 1.21/1.38 tff(c0_1_type, type, ( % 1.21/1.38 c0_1: $i > $o)). % 1.21/1.38 tff(formula1, axiom, % 1.21/1.38 hskp50 <=> $false). % 1.21/1.38 tff(formula2, axiom, % 1.21/1.38 hskp14 <=> $false). % 1.21/1.38 tff(formula3, axiom, % 1.21/1.38 hskp9 <=> $false). % 1.21/1.38 tff(formula4, axiom, % 1.21/1.38 a311 = $i!val!10). % 1.21/1.38 tff(formula5, axiom, % 1.21/1.38 hskp15 <=> $false). % 1.21/1.38 tff(formula6, axiom, % 1.21/1.38 hskp46 <=> $true). % 1.21/1.38 tff(formula7, axiom, % 1.21/1.38 a298 = $i!val!6). % 1.21/1.38 tff(formula8, axiom, % 1.21/1.38 a334 = $i!val!2). % 1.21/1.38 tff(formula9, axiom, % 1.21/1.38 hskp29 <=> $false). % 1.21/1.38 tff(formula10, axiom, % 1.21/1.38 hskp1 <=> $true). % 1.21/1.38 tff(formula11, axiom, % 1.21/1.38 hskp27 <=> $false). % 1.21/1.38 tff(formula12, axiom, % 1.21/1.38 hskp48 <=> $true). % 1.21/1.38 tff(formula13, axiom, % 1.21/1.38 a337 = $i!val!15). % 1.21/1.38 tff(formula14, axiom, % 1.21/1.38 a324 = $i!val!16). % 1.21/1.38 tff(formula15, axiom, % 1.21/1.38 a296 = $i!val!7). % 1.21/1.38 tff(formula16, axiom, % 1.21/1.38 hskp38 <=> $false). % 1.21/1.38 tff(formula17, axiom, % 1.21/1.38 hskp37 <=> $false). % 1.21/1.38 tff(formula18, axiom, % 1.21/1.38 a331 = $i!val!3). % 1.21/1.38 tff(formula19, axiom, % 1.21/1.38 a316 = $i!val!4). % 1.21/1.38 tff(formula20, axiom, % 1.21/1.38 hskp10 <=> $false). % 1.21/1.38 tff(formula21, axiom, % 1.21/1.38 a304 = $i!val!5). % 1.21/1.38 tff(formula22, axiom, % 1.21/1.38 hskp47 <=> $false). % 1.21/1.38 tff(formula23, axiom, % 1.21/1.38 hskp44 <=> $false). % 1.21/1.38 tff(formula24, axiom, % 1.21/1.38 hskp41 <=> $false). % 1.21/1.38 tff(formula25, axiom, % 1.21/1.38 hskp31 <=> $false). % 1.21/1.38 tff(formula26, axiom, % 1.21/1.38 a283 = $i!val!13). % 1.21/1.38 tff(formula27, axiom, % 1.21/1.38 hskp30 <=> $true). % 1.21/1.38 tff(formula28, axiom, % 1.21/1.38 hskp35 <=> $false). % 1.21/1.38 tff(formula29, axiom, % 1.21/1.38 hskp45 <=> $true). % 1.21/1.38 tff(formula30, axiom, % 1.21/1.38 hskp39 <=> $false). % 1.21/1.38 tff(formula31, axiom, % 1.21/1.38 hskp21 <=> $false). % 1.21/1.38 tff(formula32, axiom, % 1.21/1.38 a291 = $i!val!12). % 1.21/1.38 tff(formula33, axiom, % 1.21/1.38 hskp28 <=> $false). % 1.21/1.38 tff(formula34, axiom, % 1.21/1.38 hskp23 <=> $false). % 1.21/1.38 tff(formula35, axiom, % 1.21/1.38 hskp17 <=> $false). % 1.21/1.38 tff(formula36, axiom, % 1.21/1.38 hskp16 <=> $false). % 1.21/1.38 tff(formula37, axiom, % 1.21/1.38 hskp32 <=> $false). % 1.21/1.38 tff(formula38, axiom, % 1.21/1.38 a340 = $i!val!1). % 1.21/1.38 tff(formula39, axiom, % 1.21/1.38 hskp0 <=> $false). % 1.21/1.38 tff(formula40, axiom, % 1.21/1.38 hskp2 <=> $true). % 1.21/1.38 tff(formula41, axiom, % 1.21/1.38 a287 = $i!val!8). % 1.21/1.38 tff(formula42, axiom, % 1.21/1.38 hskp49 <=> $false). % 1.21/1.38 tff(formula43, axiom, % 1.21/1.38 hskp26 <=> $true). % 1.21/1.38 tff(formula44, axiom, % 1.21/1.38 a299 = $i!val!11). % 1.21/1.38 tff(formula45, axiom, % 1.21/1.38 hskp34 <=> $true). % 1.21/1.38 tff(formula46, axiom, % 1.21/1.38 hskp11 <=> $false). % 1.21/1.38 tff(formula47, axiom, % 1.21/1.38 hskp24 <=> $false). % 1.21/1.38 tff(formula48, axiom, % 1.21/1.38 hskp12 <=> $true). % 1.21/1.38 tff(formula49, axiom, % 1.21/1.38 ndr1_0 <=> $true). % 1.21/1.38 tff(formula50, axiom, % 1.21/1.38 hskp40 <=> $false). % 1.21/1.38 tff(formula51, axiom, % 1.21/1.38 hskp13 <=> $true). % 1.21/1.38 tff(formula52, axiom, % 1.21/1.38 hskp7 <=> $true). % 1.21/1.38 tff(formula53, axiom, % 1.21/1.38 hskp3 <=> $false). % 1.21/1.38 tff(formula54, axiom, % 1.21/1.38 hskp5 <=> $false). % 1.21/1.38 tff(formula55, axiom, % 1.21/1.38 hskp6 <=> $false). % 1.21/1.38 tff(formula56, axiom, % 1.21/1.38 a344 = $i!val!0). % 1.21/1.38 tff(formula57, axiom, % 1.21/1.38 hskp51 <=> $true). % 1.21/1.38 tff(formula58, axiom, % 1.21/1.38 hskp33 <=> $false). % 1.21/1.38 tff(formula59, axiom, % 1.21/1.38 a327 = $i!val!9). % 1.21/1.38 tff(formula60, axiom, % 1.21/1.38 hskp36 <=> $false). % 1.21/1.38 tff(formula61, axiom, % 1.21/1.38 hskp19 <=> $false). % 1.21/1.38 tff(formula62, axiom, % 1.21/1.38 hskp42 <=> $true). % 1.21/1.38 tff(formula63, axiom, % 1.21/1.38 hskp20 <=> $true). % 1.21/1.38 tff(formula64, axiom, % 1.21/1.38 hskp25 <=> $true). % 1.21/1.38 tff(formula65, axiom, % 1.21/1.38 hskp18 <=> $false). % 1.21/1.38 tff(formula66, axiom, % 1.21/1.38 hskp43 <=> $false). % 1.21/1.38 tff(formula67, axiom, % 1.21/1.38 a290 = $i!val!18). % 1.21/1.38 tff(formula68, axiom, % 1.21/1.38 hskp52 <=> $false). % 1.21/1.38 tff(formula69, axiom, % 1.21/1.38 hskp22 <=> $true). % 1.21/1.38 tff(formula70, axiom, % 1.21/1.38 a310 = $i!val!17). % 1.21/1.38 tff(formula71, axiom, % 1.21/1.38 a347 = $i!val!14). % 1.21/1.38 tff(formula72, axiom, % 1.21/1.38 hskp8 <=> $false). % 1.21/1.38 tff(formula73, axiom, % 1.21/1.38 hskp4 <=> $false). % 1.21/1.38 tff(formula74, axiom, % 1.21/1.38 ![X0: $i] : (c1_1(X0) <=> ((k!114(X0) = $i!val!1) | (k!114(X0) = $i!val!3) | (k!114(X0) = $i!val!7)))). % 1.21/1.38 tff(formula75, axiom, % 1.21/1.38 ![X0: $i] : (c3_1(X0) <=> ((k!114(X0) = $i!val!8) | (k!114(X0) = $i!val!0) | (k!114(X0) = $i!val!10) | (k!114(X0) = $i!val!9)))). % 1.21/1.38 tff(formula76, axiom, % 1.21/1.38 ![X0: $i] : (c2_1(X0) <=> ((~(k!114(X0) = $i!val!9)) & (~(k!114(X0) = $i!val!18)) & (~(k!114(X0) = $i!val!12)) & (~(k!114(X0) = $i!val!17)) & (~(k!114(X0) = $i!val!16)) & (~(k!114(X0) = $i!val!15)) & (~(k!114(X0) = $i!val!14)) & (~(k!114(X0) = $i!val!5)) & (~(k!114(X0) = $i!val!6))))). % 1.21/1.38 tff(formula77, axiom, % 1.21/1.38 k!114($i!val!5) = $i!val!5). % 1.21/1.38 tff(formula78, axiom, % 1.21/1.38 k!114($i!val!17) = $i!val!17). % 1.21/1.38 tff(formula79, axiom, % 1.21/1.38 k!114($i!val!10) = $i!val!10). % 1.21/1.38 tff(formula80, axiom, % 1.21/1.38 k!114($i!val!9) = $i!val!9). % 1.21/1.38 tff(formula81, axiom, % 1.21/1.38 k!114($i!val!8) = $i!val!8). % 1.21/1.38 tff(formula82, axiom, % 1.21/1.38 k!114($i!val!6) = $i!val!6). % 1.21/1.38 tff(formula83, axiom, % 1.21/1.38 k!114($i!val!13) = $i!val!13). % 1.21/1.38 tff(formula84, axiom, % 1.21/1.38 k!114($i!val!11) = $i!val!11). % 1.21/1.38 tff(formula85, axiom, % 1.21/1.38 k!114($i!val!2) = $i!val!2). % 1.21/1.38 tff(formula86, axiom, % 1.21/1.38 k!114($i!val!15) = $i!val!15). % 1.21/1.38 tff(formula87, axiom, % 1.21/1.38 k!114($i!val!16) = $i!val!16). % 1.21/1.38 tff(formula88, axiom, % 1.21/1.38 k!114($i!val!18) = $i!val!18). % 1.21/1.38 tff(formula89, axiom, % 1.21/1.38 k!114($i!val!12) = $i!val!12). % 1.21/1.38 tff(formula90, axiom, % 1.21/1.38 k!114($i!val!4) = $i!val!4). % 1.21/1.38 tff(formula91, axiom, % 1.21/1.38 k!114($i!val!7) = $i!val!7). % 1.21/1.38 tff(formula92, axiom, % 1.21/1.38 k!114($i!val!14) = $i!val!14). % 1.21/1.38 tff(formula93, axiom, % 1.21/1.38 k!114($i!val!1) = $i!val!1). % 1.21/1.38 tff(formula94, axiom, % 1.21/1.38 k!114($i!val!3) = $i!val!3). % 1.21/1.38 tff(formula95, axiom, % 1.21/1.38 ![X0: $i] : ((~((($i!val!5 = X0)) | (($i!val!17 = X0)) | (($i!val!10 = X0)) | (($i!val!9 = X0)) | (($i!val!8 = X0)) | (($i!val!6 = X0)) | (($i!val!13 = X0)) | (($i!val!11 = X0)) | (($i!val!2 = X0)) | (($i!val!15 = X0)) | (($i!val!16 = X0)) | (($i!val!18 = X0)) | (($i!val!12 = X0)) | (($i!val!4 = X0)) | (($i!val!7 = X0)) | (($i!val!14 = X0)) | (($i!val!1 = X0)) | (($i!val!3 = X0)))) => (k!114(X0) = $i!val!0))). % 1.21/1.38 tff(formula96, axiom, % 1.21/1.38 ![X0: $i] : (c0_1(X0) <=> ((k!114(X0) = $i!val!8) | (k!114(X0) = $i!val!0) | (k!114(X0) = $i!val!4) | (k!114(X0) = $i!val!11) | (k!114(X0) = $i!val!10)))). % 1.21/1.38 % SZS output end Model % 1.21/1.39 % E exiting %------------------------------------------------------------------------------