%------------------------------------------------------------------------------ % 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 : n013.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 0.21s 0.45s % Output : Model 0.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : SYN433-1 : TPTP v9.0.0. Released v2.1.0. % 0.07/0.13 % Command : run_E %s %d THM % 0.13/0.34 % Computer : n013.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Fri Jun 20 12:34:38 EDT 2025 % 0.13/0.34 % CPUTime : % 0.21/0.45 % SZS status Satisfiable % 0.21/0.45 % SZS output start Model % 0.21/0.45 tff(hskp0_type, type, ( % 0.21/0.45 hskp0: $o)). % 0.21/0.45 tff(hskp14_type, type, ( % 0.21/0.45 hskp14: $o)). % 0.21/0.45 tff(hskp9_type, type, ( % 0.21/0.45 hskp9: $o)). % 0.21/0.45 tff(tptp_fun__i_val_3_type, type, ( % 0.21/0.45 tptp_fun__i_val_3: $i)). % 0.21/0.45 tff(a199_type, type, ( % 0.21/0.45 a199: $i)). % 0.21/0.45 tff(hskp15_type, type, ( % 0.21/0.45 hskp15: $o)). % 0.21/0.45 tff(hskp2_type, type, ( % 0.21/0.45 hskp2: $o)). % 0.21/0.45 tff(hskp1_type, type, ( % 0.21/0.45 hskp1: $o)). % 0.21/0.45 tff(tptp_fun__i_val_2_type, type, ( % 0.21/0.45 tptp_fun__i_val_2: $i)). % 0.21/0.45 tff(a203_type, type, ( % 0.21/0.45 a203: $i)). % 0.21/0.45 tff(hskp12_type, type, ( % 0.21/0.45 hskp12: $o)). % 0.21/0.45 tff(hskp24_type, type, ( % 0.21/0.45 hskp24: $o)). % 0.21/0.45 tff(tptp_fun__i_val_7_type, type, ( % 0.21/0.45 tptp_fun__i_val_7: $i)). % 0.21/0.45 tff(a221_type, type, ( % 0.21/0.45 a221: $i)). % 0.21/0.45 tff(ndr1_0_type, type, ( % 0.21/0.45 ndr1_0: $o)). % 0.21/0.45 tff(hskp11_type, type, ( % 0.21/0.45 hskp11: $o)). % 0.21/0.45 tff(hskp13_type, type, ( % 0.21/0.45 hskp13: $o)). % 0.21/0.45 tff(hskp7_type, type, ( % 0.21/0.45 hskp7: $o)). % 0.21/0.45 tff(hskp3_type, type, ( % 0.21/0.45 hskp3: $o)). % 0.21/0.45 tff(hskp5_type, type, ( % 0.21/0.45 hskp5: $o)). % 0.21/0.45 tff(tptp_fun__i_val_0_type, type, ( % 0.21/0.45 tptp_fun__i_val_0: $i)). % 0.21/0.45 tff(a216_type, type, ( % 0.21/0.45 a216: $i)). % 0.21/0.45 tff(hskp6_type, type, ( % 0.21/0.45 hskp6: $o)). % 0.21/0.45 tff(tptp_fun__i_val_1_type, type, ( % 0.21/0.45 tptp_fun__i_val_1: $i)). % 0.21/0.45 tff(a214_type, type, ( % 0.21/0.45 a214: $i)). % 0.21/0.45 tff(hskp10_type, type, ( % 0.21/0.45 hskp10: $o)). % 0.21/0.45 tff(tptp_fun__i_val_4_type, type, ( % 0.21/0.45 tptp_fun__i_val_4: $i)). % 0.21/0.45 tff(a222_type, type, ( % 0.21/0.45 a222: $i)). % 0.21/0.45 tff(tptp_fun__i_val_6_type, type, ( % 0.21/0.45 tptp_fun__i_val_6: $i)). % 0.21/0.45 tff(a205_type, type, ( % 0.21/0.45 a205: $i)). % 0.21/0.45 tff(tptp_fun__i_val_5_type, type, ( % 0.21/0.45 tptp_fun__i_val_5: $i)). % 0.21/0.45 tff(a211_type, type, ( % 0.21/0.45 a211: $i)). % 0.21/0.45 tff(hskp19_type, type, ( % 0.21/0.45 hskp19: $o)). % 0.21/0.45 tff(hskp20_type, type, ( % 0.21/0.45 hskp20: $o)). % 0.21/0.45 tff(hskp25_type, type, ( % 0.21/0.45 hskp25: $o)). % 0.21/0.45 tff(tptp_fun__i_val_8_type, type, ( % 0.21/0.45 tptp_fun__i_val_8: $i)). % 0.21/0.45 tff(a210_type, type, ( % 0.21/0.45 a210: $i)). % 0.21/0.45 tff(hskp18_type, type, ( % 0.21/0.45 hskp18: $o)). % 0.21/0.45 tff(hskp21_type, type, ( % 0.21/0.45 hskp21: $o)). % 0.21/0.45 tff(hskp23_type, type, ( % 0.21/0.45 hskp23: $o)). % 0.21/0.45 tff(hskp22_type, type, ( % 0.21/0.45 hskp22: $o)). % 0.21/0.45 tff(hskp17_type, type, ( % 0.21/0.45 hskp17: $o)). % 0.21/0.45 tff(hskp16_type, type, ( % 0.21/0.45 hskp16: $o)). % 0.21/0.45 tff(hskp8_type, type, ( % 0.21/0.45 hskp8: $o)). % 0.21/0.45 tff(hskp4_type, type, ( % 0.21/0.45 hskp4: $o)). % 0.21/0.45 tff(c1_1_type, type, ( % 0.21/0.45 c1_1: $i > $o)). % 0.21/0.45 tff(c2_1_type, type, ( % 0.21/0.45 c2_1: $i > $o)). % 0.21/0.45 tff(c3_1_type, type, ( % 0.21/0.45 c3_1: $i > $o)). % 0.21/0.45 tff(c0_1_type, type, ( % 0.21/0.45 c0_1: $i > $o)). % 0.21/0.45 tff(formula1, axiom, % 0.21/0.45 hskp0 <=> $false). % 0.21/0.45 tff(formula2, axiom, % 0.21/0.45 hskp14 <=> $true). % 0.21/0.45 tff(formula3, axiom, % 0.21/0.45 hskp9 <=> $false). % 0.21/0.45 tff(formula4, axiom, % 0.21/0.45 a199 = $i!val!3). % 0.21/0.45 tff(formula5, axiom, % 0.21/0.45 hskp15 <=> $false). % 0.21/0.45 tff(formula6, axiom, % 0.21/0.45 hskp2 <=> $false). % 0.21/0.45 tff(formula7, axiom, % 0.21/0.45 hskp1 <=> $false). % 0.21/0.45 tff(formula8, axiom, % 0.21/0.45 a203 = $i!val!2). % 0.21/0.45 tff(formula9, axiom, % 0.21/0.45 hskp12 <=> $false). % 0.21/0.45 tff(formula10, axiom, % 0.21/0.45 hskp24 <=> $false). % 0.21/0.45 tff(formula11, axiom, % 0.21/0.45 a221 = $i!val!7). % 0.21/0.45 tff(formula12, axiom, % 0.21/0.45 ndr1_0 <=> $true). % 0.21/0.45 tff(formula13, axiom, % 0.21/0.45 hskp11 <=> $false). % 0.21/0.45 tff(formula14, axiom, % 0.21/0.45 hskp13 <=> $false). % 0.21/0.45 tff(formula15, axiom, % 0.21/0.45 hskp7 <=> $false). % 0.21/0.45 tff(formula16, axiom, % 0.21/0.45 hskp3 <=> $true). % 0.21/0.45 tff(formula17, axiom, % 0.21/0.45 hskp5 <=> $true). % 0.21/0.45 tff(formula18, axiom, % 0.21/0.45 a216 = $i!val!0). % 0.21/0.45 tff(formula19, axiom, % 0.21/0.45 hskp6 <=> $false). % 0.21/0.45 tff(formula20, axiom, % 0.21/0.45 a214 = $i!val!1). % 0.21/0.45 tff(formula21, axiom, % 0.21/0.45 hskp10 <=> $false). % 0.21/0.45 tff(formula22, axiom, % 0.21/0.45 a222 = $i!val!4). % 0.21/0.45 tff(formula23, axiom, % 0.21/0.45 a205 = $i!val!6). % 0.21/0.45 tff(formula24, axiom, % 0.21/0.45 a211 = $i!val!5). % 0.21/0.45 tff(formula25, axiom, % 0.21/0.45 hskp19 <=> $false). % 0.21/0.45 tff(formula26, axiom, % 0.21/0.45 hskp20 <=> $false). % 0.21/0.45 tff(formula27, axiom, % 0.21/0.45 hskp25 <=> $false). % 0.21/0.45 tff(formula28, axiom, % 0.21/0.45 a210 = $i!val!8). % 0.21/0.45 tff(formula29, axiom, % 0.21/0.45 hskp18 <=> $false). % 0.21/0.45 tff(formula30, axiom, % 0.21/0.45 hskp21 <=> $true). % 0.21/0.45 tff(formula31, axiom, % 0.21/0.45 hskp23 <=> $false). % 0.21/0.45 tff(formula32, axiom, % 0.21/0.45 hskp22 <=> $true). % 0.21/0.45 tff(formula33, axiom, % 0.21/0.45 hskp17 <=> $false). % 0.21/0.45 tff(formula34, axiom, % 0.21/0.45 hskp16 <=> $true). % 0.21/0.45 tff(formula35, axiom, % 0.21/0.45 hskp8 <=> $false). % 0.21/0.45 tff(formula36, axiom, % 0.21/0.45 hskp4 <=> $false). % 0.21/0.45 tff(formula37, axiom, % 0.21/0.45 ![X0: $i] : (c1_1(X0) <=> (((X0 = $i!val!0) & (~(X0 = $i!val!1))) | ((X0 = $i!val!5) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!1))) | (X0 = $i!val!1)))). % 0.21/0.45 tff(formula38, axiom, % 0.21/0.45 ![X0: $i] : (c2_1(X0) <=> (((X0 = $i!val!0) & (~(X0 = $i!val!1))) | ((X0 = $i!val!5) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!1))) | (X0 = $i!val!1)))). % 0.21/0.45 tff(formula39, axiom, % 0.21/0.45 ![X0: $i] : (c3_1(X0) <=> ((~((X0 = $i!val!8) & (~(X0 = $i!val!7)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!6)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!1)))) & (~((X0 = $i!val!7) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!6)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!1)))) & (~(X0 = $i!val!1)) & (~((X0 = $i!val!4) & (~(X0 = $i!val!8)) & (~(X0 = $i!val!7)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!6)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!1))))))). % 0.21/0.45 tff(formula40, axiom, % 0.21/0.45 ![X0: $i] : (c0_1(X0) <=> (~((X0 = $i!val!5) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!1)))))). % 0.21/0.45 % SZS output end Model % 0.21/0.45 % E exiting %------------------------------------------------------------------------------