%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : SYN535-1 : 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 05:39:30 AM UTC 2025 % Result : Satisfiable 0.21s 0.43s % Output : Model 0.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SYN535-1 : TPTP v9.0.0. Released v2.1.0. % 0.07/0.12 % Command : run_E %s %d THM % 0.12/0.34 % Computer : n012.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 300 % 0.12/0.34 % DateTime : Fri Jun 20 12:36:55 EDT 2025 % 0.12/0.34 % CPUTime : % 0.21/0.43 % SZS status Satisfiable % 0.21/0.43 % SZS output start Model % 0.21/0.43 tff(tptp_fun__i_val_1_type, type, ( % 0.21/0.43 tptp_fun__i_val_1: $i)). % 0.21/0.43 tff(a494_type, type, ( % 0.21/0.43 a494: $i)). % 0.21/0.43 tff(tptp_fun__i_val_0_type, type, ( % 0.21/0.43 tptp_fun__i_val_0: $i)). % 0.21/0.43 tff(a495_type, type, ( % 0.21/0.43 a495: $i)). % 0.21/0.43 tff(tptp_fun__i_val_10_type, type, ( % 0.21/0.43 tptp_fun__i_val_10: $i)). % 0.21/0.43 tff(a493_type, type, ( % 0.21/0.43 a493: $i)). % 0.21/0.43 tff(ssSkC4_type, type, ( % 0.21/0.43 ssSkC4: $o)). % 0.21/0.43 tff(ssSkC3_type, type, ( % 0.21/0.43 ssSkC3: $o)). % 0.21/0.43 tff(tptp_fun__i_val_13_type, type, ( % 0.21/0.43 tptp_fun__i_val_13: $i)). % 0.21/0.43 tff(a507_type, type, ( % 0.21/0.43 a507: $i)). % 0.21/0.43 tff(c2_0_type, type, ( % 0.21/0.43 c2_0: $o)). % 0.21/0.43 tff(tptp_fun__i_val_3_type, type, ( % 0.21/0.43 tptp_fun__i_val_3: $i)). % 0.21/0.43 tff(a516_type, type, ( % 0.21/0.43 a516: $i)). % 0.21/0.43 tff(a510_type, type, ( % 0.21/0.43 a510: $i)). % 0.21/0.43 tff(ssSkC1_type, type, ( % 0.21/0.43 ssSkC1: $o)). % 0.21/0.43 tff(ssSkC5_type, type, ( % 0.21/0.43 ssSkC5: $o)). % 0.21/0.43 tff(tptp_fun__i_val_2_type, type, ( % 0.21/0.43 tptp_fun__i_val_2: $i)). % 0.21/0.43 tff(a513_type, type, ( % 0.21/0.43 a513: $i)). % 0.21/0.43 tff(ssSkC0_type, type, ( % 0.21/0.43 ssSkC0: $o)). % 0.21/0.43 tff(tptp_fun__i_val_8_type, type, ( % 0.21/0.43 tptp_fun__i_val_8: $i)). % 0.21/0.43 tff(a509_type, type, ( % 0.21/0.43 a509: $i)). % 0.21/0.43 tff(ndr1_0_type, type, ( % 0.21/0.43 ndr1_0: $o)). % 0.21/0.43 tff(c3_0_type, type, ( % 0.21/0.43 c3_0: $o)). % 0.21/0.43 tff(tptp_fun__i_val_6_type, type, ( % 0.21/0.43 tptp_fun__i_val_6: $i)). % 0.21/0.43 tff(a518_type, type, ( % 0.21/0.43 a518: $i)). % 0.21/0.43 tff(ssSkC7_type, type, ( % 0.21/0.43 ssSkC7: $o)). % 0.21/0.43 tff(tptp_fun__i_val_7_type, type, ( % 0.21/0.43 tptp_fun__i_val_7: $i)). % 0.21/0.43 tff(a511_type, type, ( % 0.21/0.43 a511: $i)). % 0.21/0.43 tff(tptp_fun__i_val_9_type, type, ( % 0.21/0.43 tptp_fun__i_val_9: $i)). % 0.21/0.43 tff(a519_type, type, ( % 0.21/0.43 a519: $i)). % 0.21/0.43 tff(a517_type, type, ( % 0.21/0.43 a517: $i)). % 0.21/0.43 tff(a502_type, type, ( % 0.21/0.43 a502: $i)). % 0.21/0.43 tff(ssSkC6_type, type, ( % 0.21/0.43 ssSkC6: $o)). % 0.21/0.43 tff(tptp_fun__i_val_14_type, type, ( % 0.21/0.43 tptp_fun__i_val_14: $i)). % 0.21/0.43 tff(a505_type, type, ( % 0.21/0.43 a505: $i)). % 0.21/0.43 tff(c1_0_type, type, ( % 0.21/0.43 c1_0: $o)). % 0.21/0.43 tff(tptp_fun__i_val_5_type, type, ( % 0.21/0.43 tptp_fun__i_val_5: $i)). % 0.21/0.43 tff(a496_type, type, ( % 0.21/0.43 a496: $i)). % 0.21/0.43 tff(a497_type, type, ( % 0.21/0.43 a497: $i)). % 0.21/0.43 tff(tptp_fun__i_val_12_type, type, ( % 0.21/0.43 tptp_fun__i_val_12: $i)). % 0.21/0.43 tff(a503_type, type, ( % 0.21/0.43 a503: $i)). % 0.21/0.43 tff(tptp_fun__i_val_4_type, type, ( % 0.21/0.43 tptp_fun__i_val_4: $i)). % 0.21/0.43 tff(a498_type, type, ( % 0.21/0.43 a498: $i)). % 0.21/0.43 tff(c5_0_type, type, ( % 0.21/0.43 c5_0: $o)). % 0.21/0.43 tff(ssSkC2_type, type, ( % 0.21/0.43 ssSkC2: $o)). % 0.21/0.43 tff(a514_type, type, ( % 0.21/0.43 a514: $i)). % 0.21/0.43 tff(c4_0_type, type, ( % 0.21/0.43 c4_0: $o)). % 0.21/0.43 tff(tptp_fun__i_val_11_type, type, ( % 0.21/0.43 tptp_fun__i_val_11: $i)). % 0.21/0.43 tff(a506_type, type, ( % 0.21/0.43 a506: $i)). % 0.21/0.43 tff(a504_type, type, ( % 0.21/0.43 a504: $i)). % 0.21/0.43 tff(c1_1_type, type, ( % 0.21/0.43 c1_1: $i > $o)). % 0.21/0.43 tff(ndr1_1_type, type, ( % 0.21/0.43 ndr1_1: $i > $o)). % 0.21/0.43 tff(c3_2_type, type, ( % 0.21/0.43 c3_2: ( $i * $i ) > $o)). % 0.21/0.43 tff(c4_2_type, type, ( % 0.21/0.43 c4_2: ( $i * $i ) > $o)). % 0.21/0.43 tff(c5_1_type, type, ( % 0.21/0.43 c5_1: $i > $o)). % 0.21/0.43 tff(c5_2_type, type, ( % 0.21/0.43 c5_2: ( $i * $i ) > $o)). % 0.21/0.43 tff(c2_1_type, type, ( % 0.21/0.43 c2_1: $i > $o)). % 0.21/0.43 tff(c3_1_type, type, ( % 0.21/0.43 c3_1: $i > $o)). % 0.21/0.43 tff(c2_2_type, type, ( % 0.21/0.43 c2_2: ( $i * $i ) > $o)). % 0.21/0.43 tff(c4_1_type, type, ( % 0.21/0.43 c4_1: $i > $o)). % 0.21/0.43 tff(c1_2_type, type, ( % 0.21/0.43 c1_2: ( $i * $i ) > $o)). % 0.21/0.43 tff(formula1, axiom, % 0.21/0.43 a494 = $i!val!1). % 0.21/0.43 tff(formula2, axiom, % 0.21/0.43 a495 = $i!val!0). % 0.21/0.43 tff(formula3, axiom, % 0.21/0.43 a493 = $i!val!10). % 0.21/0.43 tff(formula4, axiom, % 0.21/0.43 ssSkC4 <=> $true). % 0.21/0.43 tff(formula5, axiom, % 0.21/0.43 ssSkC3 <=> $false). % 0.21/0.43 tff(formula6, axiom, % 0.21/0.43 a507 = $i!val!13). % 0.21/0.43 tff(formula7, axiom, % 0.21/0.43 c2_0 <=> $false). % 0.21/0.43 tff(formula8, axiom, % 0.21/0.43 a516 = $i!val!3). % 0.21/0.43 tff(formula9, axiom, % 0.21/0.43 a510 = $i!val!1). % 0.21/0.43 tff(formula10, axiom, % 0.21/0.43 ssSkC1 <=> $false). % 0.21/0.43 tff(formula11, axiom, % 0.21/0.43 ssSkC5 <=> $true). % 0.21/0.43 tff(formula12, axiom, % 0.21/0.43 a513 = $i!val!2). % 0.21/0.43 tff(formula13, axiom, % 0.21/0.43 ssSkC0 <=> $true). % 0.21/0.43 tff(formula14, axiom, % 0.21/0.43 a509 = $i!val!8). % 0.21/0.43 tff(formula15, axiom, % 0.21/0.43 ndr1_0 <=> $true). % 0.21/0.43 tff(formula16, axiom, % 0.21/0.43 c3_0 <=> $false). % 0.21/0.43 tff(formula17, axiom, % 0.21/0.43 a518 = $i!val!6). % 0.21/0.43 tff(formula18, axiom, % 0.21/0.43 ssSkC7 <=> $false). % 0.21/0.43 tff(formula19, axiom, % 0.21/0.43 a511 = $i!val!7). % 0.21/0.43 tff(formula20, axiom, % 0.21/0.43 a519 = $i!val!9). % 0.21/0.43 tff(formula21, axiom, % 0.21/0.43 a517 = $i!val!1). % 0.21/0.43 tff(formula22, axiom, % 0.21/0.43 a502 = $i!val!1). % 0.21/0.43 tff(formula23, axiom, % 0.21/0.43 ssSkC6 <=> $false). % 0.21/0.43 tff(formula24, axiom, % 0.21/0.43 a505 = $i!val!14). % 0.21/0.43 tff(formula25, axiom, % 0.21/0.43 c1_0 <=> $true). % 0.21/0.43 tff(formula26, axiom, % 0.21/0.43 a496 = $i!val!5). % 0.21/0.43 tff(formula27, axiom, % 0.21/0.43 a497 = $i!val!13). % 0.21/0.44 tff(formula28, axiom, % 0.21/0.44 a503 = $i!val!12). % 0.21/0.44 tff(formula29, axiom, % 0.21/0.44 a498 = $i!val!4). % 0.21/0.44 tff(formula30, axiom, % 0.21/0.44 c5_0 <=> $false). % 0.21/0.44 tff(formula31, axiom, % 0.21/0.44 ssSkC2 <=> $true). % 0.21/0.44 tff(formula32, axiom, % 0.21/0.44 a514 = $i!val!4). % 0.21/0.44 tff(formula33, axiom, % 0.21/0.44 c4_0 <=> $false). % 0.21/0.44 tff(formula34, axiom, % 0.21/0.44 a506 = $i!val!11). % 0.21/0.44 tff(formula35, axiom, % 0.21/0.44 a504 = $i!val!5). % 0.21/0.44 tff(formula36, axiom, % 0.21/0.44 ![X0: $i] : (c1_1(X0) <=> ((X0 = $i!val!2) & (~(X0 = $i!val!8)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!4)) & (~(X0 = $i!val!7)) & (~(X0 = $i!val!9)) & (~(X0 = $i!val!1))))). % 0.21/0.44 tff(formula37, axiom, % 0.21/0.44 ![X0: $i] : (ndr1_1(X0) <=> $true)). % 0.21/0.44 tff(formula38, axiom, % 0.21/0.44 ![X0: $i, X1: $i] : (c3_2(X0, X1) <=> ((X1 = $i!val!1) & (~(X0 = $i!val!13)) & (~(X0 = $i!val!10)) & (~(X0 = $i!val!14)) & (~(X0 = $i!val!11)) & (~(X0 = $i!val!5))))). % 0.21/0.44 tff(formula39, axiom, % 0.21/0.44 ![X0: $i, X1: $i] : (c4_2(X0, X1) <=> ((X1 = $i!val!0) & (~(X1 = $i!val!2)) & (~(X1 = $i!val!8)) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!7)) & (~(X1 = $i!val!9)) & (~(X1 = $i!val!1)) & (X0 = $i!val!5)))). % 0.21/0.44 tff(formula40, axiom, % 0.21/0.44 ![X0: $i] : (c5_1(X0) <=> $false)). % 0.21/0.44 tff(formula41, axiom, % 0.21/0.44 ![X0: $i, X1: $i] : (c5_2(X0, X1) <=> (~((X1 = $i!val!0) & (~(X1 = $i!val!2)) & (~(X1 = $i!val!8)) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!7)) & (~(X1 = $i!val!9)) & (~(X1 = $i!val!1)) & (X0 = $i!val!5))))). % 0.21/0.44 tff(formula42, axiom, % 0.21/0.44 ![X0: $i] : (c2_1(X0) <=> (((X0 = $i!val!2) & (~(X0 = $i!val!8)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!4)) & (~(X0 = $i!val!7)) & (~(X0 = $i!val!9)) & (~(X0 = $i!val!1))) | ((X0 = $i!val!0) & (~(X0 = $i!val!2)) & (~(X0 = $i!val!8)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!4)) & (~(X0 = $i!val!7)) & (~(X0 = $i!val!9)) & (~(X0 = $i!val!1)))))). % 0.21/0.44 tff(formula43, axiom, % 0.21/0.44 ![X0: $i] : (c3_1(X0) <=> ((~(X0 = $i!val!1)) & (~((X0 = $i!val!7) & (~(X0 = $i!val!9)) & (~(X0 = $i!val!1))))))). % 0.21/0.44 tff(formula44, axiom, % 0.21/0.44 ![X0: $i, X1: $i] : (c2_2(X0, X1) <=> $true)). % 0.21/0.44 tff(formula45, axiom, % 0.21/0.44 ![X0: $i] : (c4_1(X0) <=> (~((X0 = $i!val!2) & (~(X0 = $i!val!8)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!4)) & (~(X0 = $i!val!7)) & (~(X0 = $i!val!9)) & (~(X0 = $i!val!1)))))). % 0.21/0.44 tff(formula46, axiom, % 0.21/0.44 ![X0: $i, X1: $i] : (c1_2(X0, X1) <=> $true)). % 0.21/0.44 % SZS output end Model % 0.21/0.44 % E exiting %------------------------------------------------------------------------------