%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : SYN515-1 : TPTP v9.0.0. Released v2.1.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n008.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 05:39:25 AM UTC 2025 % Result : Satisfiable 0.20s 0.43s % Output : Model 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SYN515-1 : TPTP v9.0.0. Released v2.1.0. % 0.11/0.12 % Command : run_E %s %d THM % 0.11/0.33 % Computer : n008.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 12:37:33 EDT 2025 % 0.11/0.33 % CPUTime : % 0.20/0.43 % SZS status Satisfiable % 0.20/0.43 % SZS output start Model % 0.20/0.43 tff(ssSkC3_type, type, ( % 0.20/0.43 ssSkC3: $o)). % 0.20/0.43 tff(ssSkC4_type, type, ( % 0.20/0.43 ssSkC4: $o)). % 0.20/0.43 tff(tptp_fun__i_val_13_type, type, ( % 0.20/0.43 tptp_fun__i_val_13: $i)). % 0.20/0.43 tff(a21_type, type, ( % 0.20/0.43 a21: $i)). % 0.20/0.43 tff(a18_type, type, ( % 0.20/0.43 a18: $i)). % 0.20/0.43 tff(tptp_fun__i_val_11_type, type, ( % 0.20/0.43 tptp_fun__i_val_11: $i)). % 0.20/0.43 tff(a17_type, type, ( % 0.20/0.43 a17: $i)). % 0.20/0.43 tff(tptp_fun__i_val_2_type, type, ( % 0.20/0.43 tptp_fun__i_val_2: $i)). % 0.20/0.43 tff(a15_type, type, ( % 0.20/0.43 a15: $i)). % 0.20/0.43 tff(tptp_fun__i_val_10_type, type, ( % 0.20/0.43 tptp_fun__i_val_10: $i)). % 0.20/0.43 tff(a1_type, type, ( % 0.20/0.43 a1: $i)). % 0.20/0.43 tff(ssSkC1_type, type, ( % 0.20/0.43 ssSkC1: $o)). % 0.20/0.43 tff(ssSkC5_type, type, ( % 0.20/0.43 ssSkC5: $o)). % 0.20/0.43 tff(a20_type, type, ( % 0.20/0.43 a20: $i)). % 0.20/0.43 tff(tptp_fun__i_val_7_type, type, ( % 0.20/0.43 tptp_fun__i_val_7: $i)). % 0.20/0.43 tff(a7_type, type, ( % 0.20/0.43 a7: $i)). % 0.20/0.43 tff(tptp_fun__i_val_0_type, type, ( % 0.20/0.43 tptp_fun__i_val_0: $i)). % 0.20/0.43 tff(a14_type, type, ( % 0.20/0.43 a14: $i)). % 0.20/0.43 tff(ssSkC0_type, type, ( % 0.20/0.43 ssSkC0: $o)). % 0.20/0.43 tff(ndr1_0_type, type, ( % 0.20/0.43 ndr1_0: $o)). % 0.20/0.43 tff(a6_type, type, ( % 0.20/0.43 a6: $i)). % 0.20/0.43 tff(tptp_fun__i_val_9_type, type, ( % 0.20/0.43 tptp_fun__i_val_9: $i)). % 0.20/0.43 tff(a5_type, type, ( % 0.20/0.43 a5: $i)). % 0.20/0.43 tff(ssSkC6_type, type, ( % 0.20/0.43 ssSkC6: $o)). % 0.20/0.43 tff(a19_type, type, ( % 0.20/0.43 a19: $i)). % 0.20/0.43 tff(tptp_fun__i_val_12_type, type, ( % 0.20/0.43 tptp_fun__i_val_12: $i)). % 0.20/0.43 tff(a16_type, type, ( % 0.20/0.43 a16: $i)). % 0.20/0.43 tff(c1_0_type, type, ( % 0.20/0.43 c1_0: $o)). % 0.20/0.43 tff(a2_type, type, ( % 0.20/0.43 a2: $i)). % 0.20/0.43 tff(tptp_fun__i_val_5_type, type, ( % 0.20/0.43 tptp_fun__i_val_5: $i)). % 0.20/0.43 tff(a13_type, type, ( % 0.20/0.43 a13: $i)). % 0.20/0.43 tff(tptp_fun__i_val_4_type, type, ( % 0.20/0.43 tptp_fun__i_val_4: $i)). % 0.20/0.43 tff(a26_type, type, ( % 0.20/0.43 a26: $i)). % 0.20/0.43 tff(tptp_fun__i_val_6_type, type, ( % 0.20/0.43 tptp_fun__i_val_6: $i)). % 0.20/0.43 tff(a10_type, type, ( % 0.20/0.43 a10: $i)). % 0.20/0.43 tff(tptp_fun__i_val_1_type, type, ( % 0.20/0.43 tptp_fun__i_val_1: $i)). % 0.20/0.43 tff(a12_type, type, ( % 0.20/0.43 a12: $i)). % 0.20/0.43 tff(a4_type, type, ( % 0.20/0.43 a4: $i)). % 0.20/0.43 tff(a3_type, type, ( % 0.20/0.43 a3: $i)). % 0.20/0.43 tff(tptp_fun__i_val_8_type, type, ( % 0.20/0.43 tptp_fun__i_val_8: $i)). % 0.20/0.43 tff(a22_type, type, ( % 0.20/0.43 a22: $i)). % 0.20/0.43 tff(c3_0_type, type, ( % 0.20/0.43 c3_0: $o)). % 0.20/0.43 tff(a23_type, type, ( % 0.20/0.43 a23: $i)). % 0.20/0.43 tff(c5_0_type, type, ( % 0.20/0.43 c5_0: $o)). % 0.20/0.43 tff(tptp_fun__i_val_3_type, type, ( % 0.20/0.43 tptp_fun__i_val_3: $i)). % 0.20/0.43 tff(a9_type, type, ( % 0.20/0.43 a9: $i)). % 0.20/0.43 tff(a24_type, type, ( % 0.20/0.43 a24: $i)). % 0.20/0.43 tff(ssSkC2_type, type, ( % 0.20/0.43 ssSkC2: $o)). % 0.20/0.43 tff(c4_0_type, type, ( % 0.20/0.43 c4_0: $o)). % 0.20/0.43 tff(c1_1_type, type, ( % 0.20/0.43 c1_1: $i > $o)). % 0.20/0.43 tff(c3_2_type, type, ( % 0.20/0.43 c3_2: ( $i * $i ) > $o)). % 0.20/0.43 tff(ndr1_1_type, type, ( % 0.20/0.43 ndr1_1: $i > $o)). % 0.20/0.43 tff(c4_2_type, type, ( % 0.20/0.43 c4_2: ( $i * $i ) > $o)). % 0.20/0.43 tff(c5_1_type, type, ( % 0.20/0.43 c5_1: $i > $o)). % 0.20/0.43 tff(ssSkP0_type, type, ( % 0.20/0.43 ssSkP0: $i > $o)). % 0.20/0.43 tff(ssSkP2_type, type, ( % 0.20/0.43 ssSkP2: $i > $o)). % 0.20/0.43 tff(c5_2_type, type, ( % 0.20/0.43 c5_2: ( $i * $i ) > $o)). % 0.20/0.43 tff(c3_1_type, type, ( % 0.20/0.43 c3_1: $i > $o)). % 0.20/0.43 tff(c2_1_type, type, ( % 0.20/0.43 c2_1: $i > $o)). % 0.20/0.43 tff(c2_2_type, type, ( % 0.20/0.43 c2_2: ( $i * $i ) > $o)). % 0.20/0.43 tff(c4_1_type, type, ( % 0.20/0.43 c4_1: $i > $o)). % 0.20/0.43 tff(c1_2_type, type, ( % 0.20/0.43 c1_2: ( $i * $i ) > $o)). % 0.20/0.43 tff(ssSkP1_type, type, ( % 0.20/0.43 ssSkP1: $i > $o)). % 0.20/0.43 tff(formula1, axiom, % 0.20/0.43 ssSkC3 <=> $true). % 0.20/0.43 tff(formula2, axiom, % 0.20/0.43 ssSkC4 <=> $true). % 0.20/0.43 tff(formula3, axiom, % 0.20/0.43 a21 = $i!val!13). % 0.20/0.43 tff(formula4, axiom, % 0.20/0.43 a18 = $i!val!13). % 0.20/0.43 tff(formula5, axiom, % 0.20/0.43 a17 = $i!val!11). % 0.20/0.43 tff(formula6, axiom, % 0.20/0.43 a15 = $i!val!2). % 0.20/0.43 tff(formula7, axiom, % 0.20/0.43 a1 = $i!val!10). % 0.20/0.43 tff(formula8, axiom, % 0.20/0.43 ssSkC1 <=> $true). % 0.20/0.43 tff(formula9, axiom, % 0.20/0.43 ssSkC5 <=> $true). % 0.20/0.43 tff(formula10, axiom, % 0.20/0.43 a20 = $i!val!13). % 0.20/0.43 tff(formula11, axiom, % 0.20/0.43 a7 = $i!val!7). % 0.20/0.43 tff(formula12, axiom, % 0.20/0.43 a14 = $i!val!0). % 0.20/0.43 tff(formula13, axiom, % 0.20/0.43 ssSkC0 <=> $false). % 0.20/0.43 tff(formula14, axiom, % 0.20/0.43 ndr1_0 <=> $true). % 0.20/0.43 tff(formula15, axiom, % 0.20/0.43 a6 = $i!val!13). % 0.20/0.43 tff(formula16, axiom, % 0.20/0.43 a5 = $i!val!9). % 0.20/0.43 tff(formula17, axiom, % 0.20/0.43 ssSkC6 <=> $true). % 0.20/0.43 tff(formula18, axiom, % 0.20/0.43 a19 = $i!val!11). % 0.20/0.43 tff(formula19, axiom, % 0.20/0.43 a16 = $i!val!12). % 0.20/0.43 tff(formula20, axiom, % 0.20/0.43 c1_0 <=> $false). % 0.20/0.43 tff(formula21, axiom, % 0.20/0.43 a2 = $i!val!11). % 0.20/0.43 tff(formula22, axiom, % 0.20/0.43 a13 = $i!val!5). % 0.20/0.43 tff(formula23, axiom, % 0.20/0.43 a26 = $i!val!4). % 0.20/0.43 tff(formula24, axiom, % 0.20/0.43 a10 = $i!val!6). % 0.20/0.43 tff(formula25, axiom, % 0.20/0.43 a12 = $i!val!1). % 0.20/0.43 tff(formula26, axiom, % 0.20/0.43 a4 = $i!val!11). % 0.20/0.43 tff(formula27, axiom, % 0.20/0.43 a3 = $i!val!9). % 0.20/0.43 tff(formula28, axiom, % 0.20/0.43 a22 = $i!val!8). % 0.20/0.43 tff(formula29, axiom, % 0.20/0.43 c3_0 <=> $false). % 0.20/0.43 tff(formula30, axiom, % 0.20/0.43 a23 = $i!val!13). % 0.20/0.43 tff(formula31, axiom, % 0.20/0.43 c5_0 <=> $false). % 0.20/0.43 tff(formula32, axiom, % 0.20/0.43 a9 = $i!val!3). % 0.20/0.43 tff(formula33, axiom, % 0.20/0.43 a24 = $i!val!5). % 0.20/0.43 tff(formula34, axiom, % 0.20/0.43 ssSkC2 <=> $false). % 0.20/0.43 tff(formula35, axiom, % 0.20/0.43 c4_0 <=> $false). % 0.20/0.43 tff(formula36, axiom, % 0.20/0.43 ![X0: $i] : (c1_1(X0) <=> $false)). % 0.20/0.43 tff(formula37, axiom, % 0.20/0.43 ![X0: $i, X1: $i] : (c3_2(X0, X1) <=> $false)). % 0.20/0.43 tff(formula38, axiom, % 0.20/0.43 ![X0: $i] : (ndr1_1(X0) <=> (~((X0 = $i!val!11) & (~(X0 = $i!val!4)) & (~(X0 = $i!val!6)) & (~(X0 = $i!val!1)))))). % 0.20/0.43 tff(formula39, axiom, % 0.20/0.43 ![X0: $i, X1: $i] : (c4_2(X0, X1) <=> $true)). % 0.20/0.43 tff(formula40, axiom, % 0.20/0.43 ![X0: $i] : (c5_1(X0) <=> $false)). % 0.20/0.43 tff(formula41, axiom, % 0.20/0.43 ![X0: $i] : (ssSkP0(X0) <=> $true)). % 0.20/0.43 tff(formula42, axiom, % 0.20/0.43 ![X0: $i] : (ssSkP2(X0) <=> (~((X0 = $i!val!4) & (~(X0 = $i!val!6)) & (~(X0 = $i!val!1)))))). % 0.20/0.43 tff(formula43, axiom, % 0.20/0.43 ![X0: $i, X1: $i] : (c5_2(X0, X1) <=> (((~(X1 = $i!val!0)) & (~(X1 = $i!val!7)) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!1)) & (X0 = $i!val!10)) | ((X1 = $i!val!4) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!1)) & (~(X0 = $i!val!13)) & (~(X0 = $i!val!9)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!2)) & (~(X0 = $i!val!10)))))). % 0.20/0.43 tff(formula44, axiom, % 0.20/0.43 ![X0: $i] : (c3_1(X0) <=> (X0 = $i!val!1))). % 0.20/0.43 tff(formula45, axiom, % 0.20/0.43 ![X0: $i] : (c2_1(X0) <=> $false)). % 0.20/0.43 tff(formula46, axiom, % 0.20/0.43 ![X0: $i, X1: $i] : (c2_2(X0, X1) <=> (~((X1 = $i!val!11) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!1)) & (~(X0 = $i!val!13)) & (~(X0 = $i!val!9)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!2)) & (~(X0 = $i!val!10)))))). % 0.20/0.43 tff(formula47, axiom, % 0.20/0.43 ![X0: $i] : (c4_1(X0) <=> (~((X0 = $i!val!5) & (~(X0 = $i!val!11)) & (~(X0 = $i!val!4)) & (~(X0 = $i!val!6)) & (~(X0 = $i!val!1)))))). % 0.20/0.43 tff(formula48, axiom, % 0.20/0.43 ![X0: $i, X1: $i] : (c1_2(X0, X1) <=> $false)). % 0.20/0.43 tff(formula49, axiom, % 0.20/0.43 ![X0: $i] : (ssSkP1(X0) <=> $true)). % 0.20/0.43 % SZS output end Model % 0.20/0.43 % E exiting %------------------------------------------------------------------------------