%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : SYN490-1 : TPTP v9.0.0. Released v2.1.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n001.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 05:39:19 AM UTC 2025 % Result : Satisfiable 0.20s 0.39s % Output : Model 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN490-1 : TPTP v9.0.0. Released v2.1.0. % 0.00/0.12 % Command : run_E %s %d THM % 0.12/0.33 % Computer : n001.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 12:41:05 EDT 2025 % 0.12/0.34 % CPUTime : % 0.20/0.39 % SZS status Satisfiable % 0.20/0.39 % SZS output start Model % 0.20/0.39 tff(hskp10_type, type, ( % 0.20/0.39 hskp10: $o)). % 0.20/0.39 tff(hskp8_type, type, ( % 0.20/0.39 hskp8: $o)). % 0.20/0.39 tff(hskp0_type, type, ( % 0.20/0.39 hskp0: $o)). % 0.20/0.39 tff(hskp4_type, type, ( % 0.20/0.39 hskp4: $o)). % 0.20/0.39 tff(tptp_fun__i_val_5_type, type, ( % 0.20/0.39 tptp_fun__i_val_5: $i)). % 0.20/0.39 tff(a11_type, type, ( % 0.20/0.39 a11: $i)). % 0.20/0.39 tff(hskp9_type, type, ( % 0.20/0.39 hskp9: $o)). % 0.20/0.39 tff(tptp_fun__i_val_3_type, type, ( % 0.20/0.39 tptp_fun__i_val_3: $i)). % 0.20/0.39 tff(a3_type, type, ( % 0.20/0.39 a3: $i)). % 0.20/0.39 tff(hskp2_type, type, ( % 0.20/0.39 hskp2: $o)). % 0.20/0.39 tff(tptp_fun__i_val_0_type, type, ( % 0.20/0.39 tptp_fun__i_val_0: $i)). % 0.20/0.39 tff(a10_type, type, ( % 0.20/0.39 a10: $i)). % 0.20/0.39 tff(tptp_fun__i_val_8_type, type, ( % 0.20/0.39 tptp_fun__i_val_8: $i)). % 0.20/0.39 tff(a4_type, type, ( % 0.20/0.39 a4: $i)). % 0.20/0.39 tff(tptp_fun__i_val_9_type, type, ( % 0.20/0.39 tptp_fun__i_val_9: $i)). % 0.20/0.39 tff(a12_type, type, ( % 0.20/0.39 a12: $i)). % 0.20/0.39 tff(hskp1_type, type, ( % 0.20/0.39 hskp1: $o)). % 0.20/0.39 tff(hskp12_type, type, ( % 0.20/0.39 hskp12: $o)). % 0.20/0.39 tff(hskp11_type, type, ( % 0.20/0.39 hskp11: $o)). % 0.20/0.39 tff(tptp_fun__i_val_2_type, type, ( % 0.20/0.39 tptp_fun__i_val_2: $i)). % 0.20/0.39 tff(a7_type, type, ( % 0.20/0.39 a7: $i)). % 0.20/0.39 tff(ndr1_0_type, type, ( % 0.20/0.39 ndr1_0: $o)). % 0.20/0.39 tff(tptp_fun__i_val_4_type, type, ( % 0.20/0.39 tptp_fun__i_val_4: $i)). % 0.20/0.39 tff(a14_type, type, ( % 0.20/0.39 a14: $i)). % 0.20/0.39 tff(tptp_fun__i_val_7_type, type, ( % 0.20/0.39 tptp_fun__i_val_7: $i)). % 0.20/0.39 tff(a5_type, type, ( % 0.20/0.39 a5: $i)). % 0.20/0.39 tff(hskp13_type, type, ( % 0.20/0.39 hskp13: $o)). % 0.20/0.39 tff(hskp7_type, type, ( % 0.20/0.39 hskp7: $o)). % 0.20/0.39 tff(hskp3_type, type, ( % 0.20/0.39 hskp3: $o)). % 0.20/0.39 tff(hskp5_type, type, ( % 0.20/0.39 hskp5: $o)). % 0.20/0.39 tff(hskp6_type, type, ( % 0.20/0.39 hskp6: $o)). % 0.20/0.39 tff(tptp_fun__i_val_1_type, type, ( % 0.20/0.39 tptp_fun__i_val_1: $i)). % 0.20/0.39 tff(a9_type, type, ( % 0.20/0.39 a9: $i)). % 0.20/0.39 tff(tptp_fun__i_val_6_type, type, ( % 0.20/0.39 tptp_fun__i_val_6: $i)). % 0.20/0.39 tff(a8_type, type, ( % 0.20/0.39 a8: $i)). % 0.20/0.39 tff(k!14_type, type, ( % 0.20/0.39 k!14: $i > $i)). % 0.20/0.39 tff(c0_1_type, type, ( % 0.20/0.39 c0_1: $i > $o)). % 0.20/0.39 tff(c3_1_type, type, ( % 0.20/0.39 c3_1: $i > $o)). % 0.20/0.39 tff(c2_1_type, type, ( % 0.20/0.39 c2_1: $i > $o)). % 0.20/0.39 tff(c1_1_type, type, ( % 0.20/0.39 c1_1: $i > $o)). % 0.20/0.39 tff(formula1, axiom, % 0.20/0.39 hskp10 <=> $false). % 0.20/0.39 tff(formula2, axiom, % 0.20/0.39 hskp8 <=> $true). % 0.20/0.39 tff(formula3, axiom, % 0.20/0.39 hskp0 <=> $false). % 0.20/0.39 tff(formula4, axiom, % 0.20/0.39 hskp4 <=> $false). % 0.20/0.39 tff(formula5, axiom, % 0.20/0.39 a11 = $i!val!5). % 0.20/0.39 tff(formula6, axiom, % 0.20/0.39 hskp9 <=> $false). % 0.20/0.39 tff(formula7, axiom, % 0.20/0.39 a3 = $i!val!3). % 0.20/0.39 tff(formula8, axiom, % 0.20/0.39 hskp2 <=> $false). % 0.20/0.39 tff(formula9, axiom, % 0.20/0.39 a10 = $i!val!0). % 0.20/0.39 tff(formula10, axiom, % 0.20/0.39 a4 = $i!val!8). % 0.20/0.39 tff(formula11, axiom, % 0.20/0.39 a12 = $i!val!9). % 0.20/0.39 tff(formula12, axiom, % 0.20/0.39 hskp1 <=> $false). % 0.20/0.39 tff(formula13, axiom, % 0.20/0.39 hskp12 <=> $true). % 0.20/0.39 tff(formula14, axiom, % 0.20/0.39 hskp11 <=> $true). % 0.20/0.39 tff(formula15, axiom, % 0.20/0.39 a7 = $i!val!2). % 0.20/0.39 tff(formula16, axiom, % 0.20/0.39 ndr1_0 <=> $true). % 0.20/0.39 tff(formula17, axiom, % 0.20/0.39 a14 = $i!val!4). % 0.20/0.39 tff(formula18, axiom, % 0.20/0.39 a5 = $i!val!7). % 0.20/0.39 tff(formula19, axiom, % 0.20/0.39 hskp13 <=> $false). % 0.20/0.39 tff(formula20, axiom, % 0.20/0.39 hskp7 <=> $false). % 0.20/0.39 tff(formula21, axiom, % 0.20/0.39 hskp3 <=> $false). % 0.20/0.39 tff(formula22, axiom, % 0.20/0.39 hskp5 <=> $true). % 0.20/0.39 tff(formula23, axiom, % 0.20/0.39 hskp6 <=> $false). % 0.20/0.39 tff(formula24, axiom, % 0.20/0.39 a9 = $i!val!1). % 0.20/0.39 tff(formula25, axiom, % 0.20/0.39 a8 = $i!val!6). % 0.20/0.39 tff(formula26, axiom, % 0.20/0.39 ![X0: $i] : (c0_1(X0) <=> ((k!14(X0) = $i!val!2) | (k!14(X0) = $i!val!1) | (k!14(X0) = $i!val!8)))). % 0.20/0.39 tff(formula27, axiom, % 0.20/0.39 ![X0: $i] : (c3_1(X0) <=> ((~(k!14(X0) = $i!val!8)) & (~(k!14(X0) = $i!val!3)) & (~(k!14(X0) = $i!val!6)) & (~(k!14(X0) = $i!val!2))))). % 0.20/0.39 tff(formula28, axiom, % 0.20/0.39 ![X0: $i] : (c2_1(X0) <=> ((k!14(X0) = $i!val!6) | (k!14(X0) = $i!val!3) | (k!14(X0) = $i!val!1)))). % 0.20/0.39 tff(formula29, axiom, % 0.20/0.39 k!14($i!val!1) = $i!val!1). % 0.20/0.39 tff(formula30, axiom, % 0.20/0.39 k!14($i!val!4) = $i!val!4). % 0.20/0.39 tff(formula31, axiom, % 0.20/0.39 k!14($i!val!5) = $i!val!5). % 0.20/0.39 tff(formula32, axiom, % 0.20/0.39 k!14($i!val!3) = $i!val!3). % 0.20/0.39 tff(formula33, axiom, % 0.20/0.39 k!14($i!val!0) = $i!val!0). % 0.20/0.39 tff(formula34, axiom, % 0.20/0.39 k!14($i!val!9) = $i!val!9). % 0.20/0.39 tff(formula35, axiom, % 0.20/0.39 k!14($i!val!7) = $i!val!7). % 0.20/0.39 tff(formula36, axiom, % 0.20/0.39 k!14($i!val!8) = $i!val!8). % 0.20/0.39 tff(formula37, axiom, % 0.20/0.39 k!14($i!val!6) = $i!val!6). % 0.20/0.39 tff(formula38, axiom, % 0.20/0.39 ![X0: $i] : ((~((($i!val!1 = X0)) | (($i!val!4 = X0)) | (($i!val!5 = X0)) | (($i!val!3 = X0)) | (($i!val!0 = X0)) | (($i!val!9 = X0)) | (($i!val!7 = X0)) | (($i!val!8 = X0)) | (($i!val!6 = X0)))) => (k!14(X0) = $i!val!2))). % 0.20/0.39 tff(formula39, axiom, % 0.20/0.39 ![X0: $i] : (c1_1(X0) <=> (k!14(X0) = $i!val!1))). % 0.20/0.39 % SZS output end Model % 0.20/0.39 % E exiting %------------------------------------------------------------------------------