%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : SYN521+1 : TPTP v9.0.0. Released v2.1.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n006.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 05:39:27 AM UTC 2025 % Result : CounterSatisfiable 0.18s 0.37s % Output : Model 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.11 % Problem : SYN521+1 : TPTP v9.0.0. Released v2.1.0. % 0.03/0.11 % Command : run_E %s %d THM % 0.11/0.31 % Computer : n006.cluster.edu % 0.11/0.31 % Model : x86_64 x86_64 % 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.31 % Memory : 8042.1875MB % 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.31 % CPULimit : 300 % 0.11/0.31 % WCLimit : 300 % 0.11/0.31 % DateTime : Fri Jun 20 12:37:20 EDT 2025 % 0.17/0.32 % CPUTime : % 0.18/0.37 % SZS status CounterSatisfiable % 0.18/0.37 % SZS output start Model % 0.18/0.37 tff(tptp_fun__i_val_3_type, type, ( % 0.18/0.37 tptp_fun__i_val_3: $i)). % 0.18/0.37 tff(a78_type, type, ( % 0.18/0.37 a78: $i)). % 0.18/0.37 tff(tptp_fun__i_val_0_type, type, ( % 0.18/0.37 tptp_fun__i_val_0: $i)). % 0.18/0.37 tff(a74_type, type, ( % 0.18/0.37 a74: $i)). % 0.18/0.37 tff(c1_0_type, type, ( % 0.18/0.37 c1_0: $o)). % 0.18/0.37 tff(tptp_fun__i_val_9_type, type, ( % 0.18/0.37 tptp_fun__i_val_9: $i)). % 0.18/0.37 tff(a97_type, type, ( % 0.18/0.37 a97: $i)). % 0.18/0.37 tff(c2_0_type, type, ( % 0.18/0.37 c2_0: $o)). % 0.18/0.37 tff(tptp_fun__i_val_8_type, type, ( % 0.18/0.37 tptp_fun__i_val_8: $i)). % 0.18/0.37 tff(a96_type, type, ( % 0.18/0.37 a96: $i)). % 0.18/0.37 tff(tptp_fun__i_val_10_type, type, ( % 0.18/0.37 tptp_fun__i_val_10: $i)). % 0.18/0.37 tff(a98_type, type, ( % 0.18/0.37 a98: $i)). % 0.18/0.37 tff(tptp_fun__i_val_5_type, type, ( % 0.18/0.37 tptp_fun__i_val_5: $i)). % 0.18/0.37 tff(a90_type, type, ( % 0.18/0.37 a90: $i)). % 0.18/0.37 tff(tptp_fun__i_val_6_type, type, ( % 0.18/0.37 tptp_fun__i_val_6: $i)). % 0.18/0.37 tff(a93_type, type, ( % 0.18/0.37 a93: $i)). % 0.18/0.37 tff(tptp_fun__i_val_11_type, type, ( % 0.18/0.37 tptp_fun__i_val_11: $i)). % 0.18/0.37 tff(a99_type, type, ( % 0.18/0.37 a99: $i)). % 0.18/0.37 tff(c5_0_type, type, ( % 0.18/0.37 c5_0: $o)). % 0.18/0.37 tff(ndr1_0_type, type, ( % 0.18/0.37 ndr1_0: $o)). % 0.18/0.37 tff(c3_0_type, type, ( % 0.18/0.37 c3_0: $o)). % 0.18/0.37 tff(tptp_fun__i_val_1_type, type, ( % 0.18/0.37 tptp_fun__i_val_1: $i)). % 0.18/0.37 tff(a75_type, type, ( % 0.18/0.37 a75: $i)). % 0.18/0.37 tff(tptp_fun__i_val_4_type, type, ( % 0.18/0.37 tptp_fun__i_val_4: $i)). % 0.18/0.37 tff(a79_type, type, ( % 0.18/0.37 a79: $i)). % 0.18/0.37 tff(a101_type, type, ( % 0.18/0.37 a101: $i)). % 0.18/0.37 tff(c4_0_type, type, ( % 0.18/0.37 c4_0: $o)). % 0.18/0.37 tff(tptp_fun__i_val_2_type, type, ( % 0.18/0.37 tptp_fun__i_val_2: $i)). % 0.18/0.37 tff(a77_type, type, ( % 0.18/0.37 a77: $i)). % 0.18/0.37 tff(tptp_fun__i_val_7_type, type, ( % 0.18/0.37 tptp_fun__i_val_7: $i)). % 0.18/0.37 tff(a94_type, type, ( % 0.18/0.37 a94: $i)). % 0.18/0.37 tff(ndr1_1_type, type, ( % 0.18/0.37 ndr1_1: $i > $o)). % 0.18/0.37 tff(c3_2_type, type, ( % 0.18/0.37 c3_2: ( $i * $i ) > $o)). % 0.18/0.37 tff(c4_2_type, type, ( % 0.18/0.37 c4_2: ( $i * $i ) > $o)). % 0.18/0.37 tff(c5_2_type, type, ( % 0.18/0.37 c5_2: ( $i * $i ) > $o)). % 0.18/0.37 tff(c2_1_type, type, ( % 0.18/0.37 c2_1: $i > $o)). % 0.18/0.37 tff(c3_1_type, type, ( % 0.18/0.37 c3_1: $i > $o)). % 0.18/0.37 tff(c2_2_type, type, ( % 0.18/0.37 c2_2: ( $i * $i ) > $o)). % 0.18/0.37 tff(c1_2_type, type, ( % 0.18/0.37 c1_2: ( $i * $i ) > $o)). % 0.18/0.37 tff(c4_1_type, type, ( % 0.18/0.37 c4_1: $i > $o)). % 0.18/0.37 tff(formula1, axiom, % 0.18/0.37 a78 = $i!val!3). % 0.18/0.37 tff(formula2, axiom, % 0.18/0.37 a74 = $i!val!0). % 0.18/0.37 tff(formula3, axiom, % 0.18/0.37 c1_0 <=> $false). % 0.18/0.37 tff(formula4, axiom, % 0.18/0.37 a97 = $i!val!9). % 0.18/0.37 tff(formula5, axiom, % 0.18/0.37 c2_0 <=> $false). % 0.18/0.37 tff(formula6, axiom, % 0.18/0.37 a96 = $i!val!8). % 0.18/0.37 tff(formula7, axiom, % 0.18/0.37 a98 = $i!val!10). % 0.18/0.37 tff(formula8, axiom, % 0.18/0.37 a90 = $i!val!5). % 0.18/0.37 tff(formula9, axiom, % 0.18/0.37 a93 = $i!val!6). % 0.18/0.37 tff(formula10, axiom, % 0.18/0.37 a99 = $i!val!11). % 0.18/0.37 tff(formula11, axiom, % 0.18/0.37 c5_0 <=> $true). % 0.18/0.37 tff(formula12, axiom, % 0.18/0.37 ndr1_0 <=> $true). % 0.18/0.37 tff(formula13, axiom, % 0.18/0.37 c3_0 <=> $false). % 0.18/0.37 tff(formula14, axiom, % 0.18/0.37 a75 = $i!val!1). % 0.18/0.37 tff(formula15, axiom, % 0.18/0.37 a79 = $i!val!4). % 0.18/0.37 tff(formula16, axiom, % 0.18/0.37 a101 = $i!val!11). % 0.18/0.37 tff(formula17, axiom, % 0.18/0.37 c4_0 <=> $false). % 0.18/0.37 tff(formula18, axiom, % 0.18/0.37 a77 = $i!val!2). % 0.18/0.37 tff(formula19, axiom, % 0.18/0.37 a94 = $i!val!7). % 0.18/0.37 tff(formula20, axiom, % 0.18/0.37 ![X0: $i] : (ndr1_1(X0) <=> $true)). % 0.18/0.37 tff(formula21, axiom, % 0.18/0.37 ![X0: $i, X1: $i] : (c3_2(X0, X1) <=> (~((X1 = $i!val!2) & (X0 = $i!val!3) & (~(X0 = $i!val!7)) & (~(X0 = $i!val!8)) & (~(X0 = $i!val!4)))))). % 0.18/0.37 tff(formula22, axiom, % 0.18/0.37 ![X0: $i, X1: $i] : (c4_2(X0, X1) <=> $false)). % 0.18/0.37 tff(formula23, axiom, % 0.18/0.37 ![X0: $i, X1: $i] : (c5_2(X0, X1) <=> ((~((X1 = $i!val!2) & (X0 = $i!val!4))) & (~((X1 = $i!val!2) & (X0 = $i!val!3) & (~(X0 = $i!val!7)) & (~(X0 = $i!val!8)) & (~(X0 = $i!val!4))))))). % 0.18/0.37 tff(formula24, axiom, % 0.18/0.37 ![X0: $i] : (c2_1(X0) <=> $false)). % 0.18/0.37 tff(formula25, axiom, % 0.18/0.37 c3_1($i!val!6) <=> $true). % 0.18/0.37 tff(formula26, axiom, % 0.18/0.37 ![X0: $i] : ((~(($i!val!6 = X0))) => (c3_1(X0) <=> $false))). % 0.18/0.37 tff(formula27, axiom, % 0.18/0.37 ![X0: $i, X1: $i] : (c2_2(X0, X1) <=> ((X1 = $i!val!6) & (X0 = $i!val!7) & (~(X0 = $i!val!8)) & (~(X0 = $i!val!4))))). % 0.18/0.37 tff(formula28, axiom, % 0.18/0.37 ![X0: $i, X1: $i] : (c1_2(X0, X1) <=> ((X1 = $i!val!9) & (X0 = $i!val!10) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!7)) & (~(X0 = $i!val!8)) & (~(X0 = $i!val!4))))). % 0.18/0.37 tff(formula29, axiom, % 0.18/0.37 c4_1($i!val!6) <=> $true). % 0.18/0.37 tff(formula30, axiom, % 0.18/0.37 ![X0: $i] : ((~(($i!val!6 = X0))) => (c4_1(X0) <=> $false))). % 0.18/0.37 % SZS output end Model % 0.18/0.37 % E exiting %------------------------------------------------------------------------------