%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : SYN433+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 05:39:05 AM UTC 2025 % Result : CounterSatisfiable 0.18s 0.39s % Output : Model 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.11 % Problem : SYN433+1 : TPTP v9.0.0. Released v2.1.0. % 0.03/0.11 % 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 % 0.12/0.32 % CPULimit : 300 % 0.12/0.32 % WCLimit : 300 % 0.12/0.32 % DateTime : Fri Jun 20 12:36:12 EDT 2025 % 0.12/0.33 % CPUTime : % 0.18/0.39 % SZS status CounterSatisfiable % 0.18/0.39 % SZS output start Model % 0.18/0.39 tff(hskp0_type, type, ( % 0.18/0.39 hskp0: $o)). % 0.18/0.39 tff(hskp14_type, type, ( % 0.18/0.39 hskp14: $o)). % 0.18/0.39 tff(tptp_fun__i_val_4_type, type, ( % 0.18/0.39 tptp_fun__i_val_4: $i)). % 0.18/0.39 tff(a215_type, type, ( % 0.18/0.39 a215: $i)). % 0.18/0.39 tff(hskp9_type, type, ( % 0.18/0.39 hskp9: $o)). % 0.18/0.39 tff(tptp_fun__i_val_8_type, type, ( % 0.18/0.39 tptp_fun__i_val_8: $i)). % 0.18/0.39 tff(a199_type, type, ( % 0.18/0.39 a199: $i)). % 0.18/0.39 tff(hskp15_type, type, ( % 0.18/0.39 hskp15: $o)). % 0.18/0.39 tff(hskp2_type, type, ( % 0.18/0.39 hskp2: $o)). % 0.18/0.39 tff(hskp1_type, type, ( % 0.18/0.39 hskp1: $o)). % 0.18/0.39 tff(tptp_fun__i_val_10_type, type, ( % 0.18/0.39 tptp_fun__i_val_10: $i)). % 0.18/0.39 tff(a204_type, type, ( % 0.18/0.39 a204: $i)). % 0.18/0.39 tff(hskp11_type, type, ( % 0.18/0.39 hskp11: $o)). % 0.18/0.39 tff(hskp12_type, type, ( % 0.18/0.39 hskp12: $o)). % 0.18/0.39 tff(hskp24_type, type, ( % 0.18/0.39 hskp24: $o)). % 0.18/0.39 tff(ndr1_0_type, type, ( % 0.18/0.39 ndr1_0: $o)). % 0.18/0.39 tff(tptp_fun__i_val_5_type, type, ( % 0.18/0.39 tptp_fun__i_val_5: $i)). % 0.18/0.39 tff(a221_type, type, ( % 0.18/0.39 a221: $i)). % 0.18/0.39 tff(hskp7_type, type, ( % 0.18/0.39 hskp7: $o)). % 0.18/0.39 tff(hskp3_type, type, ( % 0.18/0.39 hskp3: $o)). % 0.18/0.39 tff(hskp5_type, type, ( % 0.18/0.39 hskp5: $o)). % 0.18/0.39 tff(hskp6_type, type, ( % 0.18/0.39 hskp6: $o)). % 0.18/0.39 tff(tptp_fun__i_val_11_type, type, ( % 0.18/0.39 tptp_fun__i_val_11: $i)). % 0.18/0.39 tff(a214_type, type, ( % 0.18/0.39 a214: $i)). % 0.18/0.39 tff(hskp10_type, type, ( % 0.18/0.39 hskp10: $o)). % 0.18/0.39 tff(tptp_fun__i_val_0_type, type, ( % 0.18/0.39 tptp_fun__i_val_0: $i)). % 0.18/0.39 tff(a197_type, type, ( % 0.18/0.39 a197: $i)). % 0.18/0.39 tff(tptp_fun__i_val_2_type, type, ( % 0.18/0.39 tptp_fun__i_val_2: $i)). % 0.18/0.39 tff(a207_type, type, ( % 0.18/0.39 a207: $i)). % 0.18/0.39 tff(tptp_fun__i_val_6_type, type, ( % 0.18/0.39 tptp_fun__i_val_6: $i)). % 0.18/0.39 tff(a222_type, type, ( % 0.18/0.39 a222: $i)). % 0.18/0.39 tff(tptp_fun__i_val_7_type, type, ( % 0.18/0.39 tptp_fun__i_val_7: $i)). % 0.18/0.39 tff(a196_type, type, ( % 0.18/0.39 a196: $i)). % 0.18/0.39 tff(tptp_fun__i_val_1_type, type, ( % 0.18/0.39 tptp_fun__i_val_1: $i)). % 0.18/0.39 tff(a205_type, type, ( % 0.18/0.39 a205: $i)). % 0.18/0.39 tff(tptp_fun__i_val_12_type, type, ( % 0.18/0.39 tptp_fun__i_val_12: $i)). % 0.18/0.39 tff(a218_type, type, ( % 0.18/0.39 a218: $i)). % 0.18/0.39 tff(hskp19_type, type, ( % 0.18/0.39 hskp19: $o)). % 0.18/0.39 tff(hskp20_type, type, ( % 0.18/0.39 hskp20: $o)). % 0.18/0.39 tff(hskp25_type, type, ( % 0.18/0.39 hskp25: $o)). % 0.18/0.39 tff(tptp_fun__i_val_3_type, type, ( % 0.18/0.39 tptp_fun__i_val_3: $i)). % 0.18/0.39 tff(a210_type, type, ( % 0.18/0.39 a210: $i)). % 0.18/0.39 tff(hskp18_type, type, ( % 0.18/0.39 hskp18: $o)). % 0.18/0.39 tff(tptp_fun__i_val_9_type, type, ( % 0.18/0.39 tptp_fun__i_val_9: $i)). % 0.18/0.39 tff(a200_type, type, ( % 0.18/0.39 a200: $i)). % 0.18/0.39 tff(hskp21_type, type, ( % 0.18/0.39 hskp21: $o)). % 0.18/0.39 tff(hskp22_type, type, ( % 0.18/0.39 hskp22: $o)). % 0.18/0.39 tff(hskp23_type, type, ( % 0.18/0.39 hskp23: $o)). % 0.18/0.39 tff(hskp17_type, type, ( % 0.18/0.39 hskp17: $o)). % 0.18/0.39 tff(hskp16_type, type, ( % 0.18/0.39 hskp16: $o)). % 0.18/0.39 tff(hskp8_type, type, ( % 0.18/0.39 hskp8: $o)). % 0.18/0.39 tff(hskp4_type, type, ( % 0.18/0.39 hskp4: $o)). % 0.18/0.39 tff(k!0_type, type, ( % 0.18/0.39 k!0: $i > $i)). % 0.18/0.39 tff(c1_1_type, type, ( % 0.18/0.39 c1_1: $i > $o)). % 0.18/0.39 tff(c3_1_type, type, ( % 0.18/0.39 c3_1: $i > $o)). % 0.18/0.39 tff(c2_1_type, type, ( % 0.18/0.39 c2_1: $i > $o)). % 0.18/0.39 tff(c0_1_type, type, ( % 0.18/0.39 c0_1: $i > $o)). % 0.18/0.39 tff(formula1, axiom, % 0.18/0.39 hskp0 <=> $true). % 0.18/0.39 tff(formula2, axiom, % 0.18/0.39 hskp14 <=> $true). % 0.18/0.39 tff(formula3, axiom, % 0.18/0.39 a215 = $i!val!4). % 0.18/0.39 tff(formula4, axiom, % 0.18/0.39 hskp9 <=> $true). % 0.18/0.39 tff(formula5, axiom, % 0.18/0.39 a199 = $i!val!8). % 0.18/0.39 tff(formula6, axiom, % 0.18/0.39 hskp15 <=> $true). % 0.18/0.39 tff(formula7, axiom, % 0.18/0.39 hskp2 <=> $false). % 0.18/0.39 tff(formula8, axiom, % 0.18/0.39 hskp1 <=> $false). % 0.18/0.39 tff(formula9, axiom, % 0.18/0.39 a204 = $i!val!10). % 0.18/0.39 tff(formula10, axiom, % 0.18/0.40 hskp11 <=> $true). % 0.18/0.40 tff(formula11, axiom, % 0.18/0.40 hskp12 <=> $true). % 0.18/0.40 tff(formula12, axiom, % 0.18/0.40 hskp24 <=> $false). % 0.18/0.40 tff(formula13, axiom, % 0.18/0.40 ndr1_0 <=> $true). % 0.18/0.40 tff(formula14, axiom, % 0.18/0.40 a221 = $i!val!5). % 0.18/0.40 tff(formula15, axiom, % 0.18/0.40 hskp7 <=> $false). % 0.18/0.40 tff(formula16, axiom, % 0.18/0.40 hskp3 <=> $true). % 0.18/0.40 tff(formula17, axiom, % 0.18/0.40 hskp5 <=> $true). % 0.18/0.40 tff(formula18, axiom, % 0.18/0.40 hskp6 <=> $false). % 0.18/0.40 tff(formula19, axiom, % 0.18/0.40 a214 = $i!val!11). % 0.18/0.40 tff(formula20, axiom, % 0.18/0.40 hskp10 <=> $false). % 0.18/0.40 tff(formula21, axiom, % 0.18/0.40 a197 = $i!val!0). % 0.18/0.40 tff(formula22, axiom, % 0.18/0.40 a207 = $i!val!2). % 0.18/0.40 tff(formula23, axiom, % 0.18/0.40 a222 = $i!val!6). % 0.18/0.40 tff(formula24, axiom, % 0.18/0.40 a196 = $i!val!7). % 0.18/0.40 tff(formula25, axiom, % 0.18/0.40 a205 = $i!val!1). % 0.18/0.40 tff(formula26, axiom, % 0.18/0.40 a218 = $i!val!12). % 0.18/0.40 tff(formula27, axiom, % 0.18/0.40 hskp19 <=> $false). % 0.18/0.40 tff(formula28, axiom, % 0.18/0.40 hskp20 <=> $false). % 0.18/0.40 tff(formula29, axiom, % 0.18/0.40 hskp25 <=> $false). % 0.18/0.40 tff(formula30, axiom, % 0.18/0.40 a210 = $i!val!3). % 0.18/0.40 tff(formula31, axiom, % 0.18/0.40 hskp18 <=> $false). % 0.18/0.40 tff(formula32, axiom, % 0.18/0.40 a200 = $i!val!9). % 0.18/0.40 tff(formula33, axiom, % 0.18/0.40 hskp21 <=> $false). % 0.18/0.40 tff(formula34, axiom, % 0.18/0.40 hskp22 <=> $false). % 0.18/0.40 tff(formula35, axiom, % 0.18/0.40 hskp23 <=> $true). % 0.18/0.40 tff(formula36, axiom, % 0.18/0.40 hskp17 <=> $true). % 0.18/0.40 tff(formula37, axiom, % 0.18/0.40 hskp16 <=> $false). % 0.18/0.40 tff(formula38, axiom, % 0.18/0.40 hskp8 <=> $false). % 0.18/0.40 tff(formula39, axiom, % 0.18/0.40 hskp4 <=> $false). % 0.18/0.40 tff(formula40, axiom, % 0.18/0.40 ![X0: $i] : (c1_1(X0) <=> ((~(k!0(X0) = $i!val!5)) & (~(k!0(X0) = $i!val!4)) & (~(k!0(X0) = $i!val!3)) & (~(k!0(X0) = $i!val!1))))). % 0.18/0.40 tff(formula41, axiom, % 0.18/0.40 ![X0: $i] : (c3_1(X0) <=> ((~(k!0(X0) = $i!val!4)) & (~(k!0(X0) = $i!val!11)) & (~(k!0(X0) = $i!val!5)) & (~(k!0(X0) = $i!val!3)) & (~(k!0(X0) = $i!val!2)) & (~(k!0(X0) = $i!val!0))))). % 0.18/0.40 tff(formula42, axiom, % 0.18/0.40 ![X0: $i] : (c2_1(X0) <=> ((k!0(X0) = $i!val!10) | (k!0(X0) = $i!val!12) | (k!0(X0) = $i!val!9)))). % 0.18/0.40 tff(formula43, axiom, % 0.18/0.40 k!0($i!val!2) = $i!val!2). % 0.18/0.40 tff(formula44, axiom, % 0.18/0.40 k!0($i!val!6) = $i!val!6). % 0.18/0.40 tff(formula45, axiom, % 0.18/0.40 k!0($i!val!3) = $i!val!3). % 0.18/0.40 tff(formula46, axiom, % 0.18/0.40 k!0($i!val!10) = $i!val!10). % 0.18/0.40 tff(formula47, axiom, % 0.18/0.40 k!0($i!val!5) = $i!val!5). % 0.18/0.40 tff(formula48, axiom, % 0.18/0.40 k!0($i!val!7) = $i!val!7). % 0.18/0.40 tff(formula49, axiom, % 0.18/0.40 k!0($i!val!8) = $i!val!8). % 0.18/0.40 tff(formula50, axiom, % 0.18/0.40 k!0($i!val!9) = $i!val!9). % 0.18/0.40 tff(formula51, axiom, % 0.18/0.40 k!0($i!val!12) = $i!val!12). % 0.18/0.40 tff(formula52, axiom, % 0.18/0.40 k!0($i!val!4) = $i!val!4). % 0.18/0.40 tff(formula53, axiom, % 0.18/0.40 k!0($i!val!1) = $i!val!1). % 0.18/0.40 tff(formula54, axiom, % 0.18/0.40 k!0($i!val!11) = $i!val!11). % 0.18/0.40 tff(formula55, axiom, % 0.18/0.40 ![X0: $i] : ((~((($i!val!2 = X0)) | (($i!val!6 = X0)) | (($i!val!3 = X0)) | (($i!val!10 = X0)) | (($i!val!5 = X0)) | (($i!val!7 = X0)) | (($i!val!8 = X0)) | (($i!val!9 = X0)) | (($i!val!12 = X0)) | (($i!val!4 = X0)) | (($i!val!1 = X0)) | (($i!val!11 = X0)))) => (k!0(X0) = $i!val!0))). % 0.18/0.40 tff(formula56, axiom, % 0.18/0.40 ![X0: $i] : (c0_1(X0) <=> ((k!0(X0) = $i!val!6) | (k!0(X0) = $i!val!12) | (k!0(X0) = $i!val!8) | (k!0(X0) = $i!val!1)))). % 0.18/0.40 % SZS output end Model % 0.18/0.40 % E exiting %------------------------------------------------------------------------------