%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : SYN533+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 05:39:29 AM UTC 2025 % Result : CounterSatisfiable 0.22s 0.40s % Output : Model 0.22s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : SYN533+1 : TPTP v9.0.0. Released v2.1.0. % 0.07/0.13 % Command : run_E %s %d THM % 0.13/0.35 % Computer : n001.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 300 % 0.13/0.35 % DateTime : Fri Jun 20 12:41:50 EDT 2025 % 0.13/0.35 % CPUTime : % 0.22/0.40 % SZS status CounterSatisfiable % 0.22/0.40 % SZS output start Model % 0.22/0.40 tff(tptp_fun__i_val_4_type, type, ( % 0.22/0.40 tptp_fun__i_val_4: $i)). % 0.22/0.40 tff(a457_type, type, ( % 0.22/0.40 a457: $i)). % 0.22/0.40 tff(c1_0_type, type, ( % 0.22/0.40 c1_0: $o)). % 0.22/0.40 tff(tptp_fun__i_val_5_type, type, ( % 0.22/0.40 tptp_fun__i_val_5: $i)). % 0.22/0.40 tff(a460_type, type, ( % 0.22/0.40 a460: $i)). % 0.22/0.40 tff(c2_0_type, type, ( % 0.22/0.40 c2_0: $o)). % 0.22/0.40 tff(tptp_fun__i_val_10_type, type, ( % 0.22/0.40 tptp_fun__i_val_10: $i)). % 0.22/0.40 tff(a467_type, type, ( % 0.22/0.40 a467: $i)). % 0.22/0.40 tff(tptp_fun__i_val_2_type, type, ( % 0.22/0.40 tptp_fun__i_val_2: $i)). % 0.22/0.40 tff(a455_type, type, ( % 0.22/0.40 a455: $i)). % 0.22/0.40 tff(tptp_fun__i_val_3_type, type, ( % 0.22/0.40 tptp_fun__i_val_3: $i)). % 0.22/0.40 tff(a456_type, type, ( % 0.22/0.40 a456: $i)). % 0.22/0.40 tff(tptp_fun__i_val_8_type, type, ( % 0.22/0.40 tptp_fun__i_val_8: $i)). % 0.22/0.40 tff(a463_type, type, ( % 0.22/0.40 a463: $i)). % 0.22/0.40 tff(tptp_fun__i_val_9_type, type, ( % 0.22/0.40 tptp_fun__i_val_9: $i)). % 0.22/0.40 tff(a464_type, type, ( % 0.22/0.40 a464: $i)). % 0.22/0.40 tff(tptp_fun__i_val_6_type, type, ( % 0.22/0.40 tptp_fun__i_val_6: $i)). % 0.22/0.40 tff(a461_type, type, ( % 0.22/0.40 a461: $i)). % 0.22/0.40 tff(ndr1_0_type, type, ( % 0.22/0.40 ndr1_0: $o)). % 0.22/0.40 tff(tptp_fun__i_val_7_type, type, ( % 0.22/0.40 tptp_fun__i_val_7: $i)). % 0.22/0.40 tff(a462_type, type, ( % 0.22/0.40 a462: $i)). % 0.22/0.40 tff(tptp_fun__i_val_1_type, type, ( % 0.22/0.40 tptp_fun__i_val_1: $i)). % 0.22/0.40 tff(a446_type, type, ( % 0.22/0.40 a446: $i)). % 0.22/0.40 tff(c4_0_type, type, ( % 0.22/0.40 c4_0: $o)). % 0.22/0.40 tff(tptp_fun__i_val_11_type, type, ( % 0.22/0.40 tptp_fun__i_val_11: $i)). % 0.22/0.40 tff(a470_type, type, ( % 0.22/0.40 a470: $i)). % 0.22/0.40 tff(tptp_fun__i_val_0_type, type, ( % 0.22/0.40 tptp_fun__i_val_0: $i)). % 0.22/0.40 tff(a445_type, type, ( % 0.22/0.40 a445: $i)). % 0.22/0.40 tff(c5_0_type, type, ( % 0.22/0.40 c5_0: $o)). % 0.22/0.40 tff(ndr1_1_type, type, ( % 0.22/0.40 ndr1_1: $i > $o)). % 0.22/0.40 tff(c3_2_type, type, ( % 0.22/0.40 c3_2: ( $i * $i ) > $o)). % 0.22/0.40 tff(c3_1_type, type, ( % 0.22/0.40 c3_1: $i > $o)). % 0.22/0.40 tff(c2_1_type, type, ( % 0.22/0.40 c2_1: $i > $o)). % 0.22/0.40 tff(c4_2_type, type, ( % 0.22/0.40 c4_2: ( $i * $i ) > $o)). % 0.22/0.40 tff(c2_2_type, type, ( % 0.22/0.40 c2_2: ( $i * $i ) > $o)). % 0.22/0.40 tff(c5_1_type, type, ( % 0.22/0.40 c5_1: $i > $o)). % 0.22/0.40 tff(c1_2_type, type, ( % 0.22/0.40 c1_2: ( $i * $i ) > $o)). % 0.22/0.40 tff(c4_1_type, type, ( % 0.22/0.40 c4_1: $i > $o)). % 0.22/0.40 tff(c5_2_type, type, ( % 0.22/0.40 c5_2: ( $i * $i ) > $o)). % 0.22/0.40 tff(c1_1_type, type, ( % 0.22/0.40 c1_1: $i > $o)). % 0.22/0.40 tff(formula1, axiom, % 0.22/0.40 a457 = $i!val!4). % 0.22/0.40 tff(formula2, axiom, % 0.22/0.40 c1_0 <=> $true). % 0.22/0.40 tff(formula3, axiom, % 0.22/0.40 a460 = $i!val!5). % 0.22/0.40 tff(formula4, axiom, % 0.22/0.40 c2_0 <=> $true). % 0.22/0.40 tff(formula5, axiom, % 0.22/0.40 a467 = $i!val!10). % 0.22/0.40 tff(formula6, axiom, % 0.22/0.40 a455 = $i!val!2). % 0.22/0.40 tff(formula7, axiom, % 0.22/0.40 a456 = $i!val!3). % 0.22/0.40 tff(formula8, axiom, % 0.22/0.40 a463 = $i!val!8). % 0.22/0.40 tff(formula9, axiom, % 0.22/0.40 a464 = $i!val!9). % 0.22/0.40 tff(formula10, axiom, % 0.22/0.40 a461 = $i!val!6). % 0.22/0.40 tff(formula11, axiom, % 0.22/0.40 ndr1_0 <=> $true). % 0.22/0.40 tff(formula12, axiom, % 0.22/0.40 a462 = $i!val!7). % 0.22/0.40 tff(formula13, axiom, % 0.22/0.40 a446 = $i!val!1). % 0.22/0.40 tff(formula14, axiom, % 0.22/0.40 c4_0 <=> $true). % 0.22/0.40 tff(formula15, axiom, % 0.22/0.40 a470 = $i!val!11). % 0.22/0.40 tff(formula16, axiom, % 0.22/0.40 a445 = $i!val!0). % 0.22/0.40 tff(formula17, axiom, % 0.22/0.40 c5_0 <=> $true). % 0.22/0.40 tff(formula18, axiom, % 0.22/0.40 ![X0: $i] : (ndr1_1(X0) <=> $true)). % 0.22/0.40 tff(formula19, axiom, % 0.22/0.40 ![X0: $i, X1: $i] : (c3_2(X0, X1) <=> $true)). % 0.22/0.40 tff(formula20, axiom, % 0.22/0.40 ![X0: $i] : (c3_1(X0) <=> ((X0 = $i!val!0) & (~(X0 = $i!val!5))))). % 0.22/0.40 tff(formula21, axiom, % 0.22/0.40 ![X0: $i] : (c2_1(X0) <=> $true)). % 0.22/0.40 tff(formula22, axiom, % 0.22/0.40 ![X0: $i, X1: $i] : (c4_2(X0, X1) <=> $false)). % 0.22/0.40 tff(formula23, axiom, % 0.22/0.40 c2_2($i!val!0, $i!val!1) <=> $false). % 0.22/0.40 tff(formula24, axiom, % 0.22/0.40 ![X0: $i, X1: $i] : ((~(($i!val!0 = X0) & ($i!val!1 = X1))) => (c2_2(X0, X1) <=> $true))). % 0.22/0.40 tff(formula25, axiom, % 0.22/0.40 c5_1($i!val!11) <=> $false). % 0.22/0.40 tff(formula26, axiom, % 0.22/0.40 ![X0: $i] : ((~(($i!val!11 = X0))) => (c5_1(X0) <=> $true))). % 0.22/0.40 tff(formula27, axiom, % 0.22/0.40 ![X0: $i, X1: $i] : (c1_2(X0, X1) <=> $true)). % 0.22/0.40 tff(formula28, axiom, % 0.22/0.40 ![X0: $i] : (c4_1(X0) <=> $true)). % 0.22/0.40 tff(formula29, axiom, % 0.22/0.40 ![X0: $i, X1: $i] : (c5_2(X0, X1) <=> $false)). % 0.22/0.40 tff(formula30, axiom, % 0.22/0.40 c1_1($i!val!6) <=> $true). % 0.22/0.40 tff(formula31, axiom, % 0.22/0.40 ![X0: $i] : ((~(($i!val!6 = X0))) => (c1_1(X0) <=> $false))). % 0.22/0.40 % SZS output end Model % 0.22/0.40 % E exiting %------------------------------------------------------------------------------