%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : SYN540+1 : TPTP v9.0.0. Released v2.1.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n015.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 05:39:31 AM UTC 2025 % Result : CounterSatisfiable 0.20s 0.45s % Output : Model 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SYN540+1 : TPTP v9.0.0. Released v2.1.0. % 0.07/0.12 % Command : run_E %s %d THM % 0.11/0.33 % Computer : n015.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 12:37:55 EDT 2025 % 0.11/0.33 % CPUTime : % 0.20/0.45 % SZS status CounterSatisfiable % 0.20/0.45 % SZS output start Model % 0.20/0.45 tff(tptp_fun__i_val_12_type, type, ( % 0.20/0.45 tptp_fun__i_val_12: $i)). % 0.20/0.45 tff(a723_type, type, ( % 0.20/0.45 a723: $i)). % 0.20/0.45 tff(tptp_fun__i_val_17_type, type, ( % 0.20/0.45 tptp_fun__i_val_17: $i)). % 0.20/0.45 tff(a681_type, type, ( % 0.20/0.45 a681: $i)). % 0.20/0.45 tff(tptp_fun__i_val_0_type, type, ( % 0.20/0.45 tptp_fun__i_val_0: $i)). % 0.20/0.45 tff(a685_type, type, ( % 0.20/0.45 a685: $i)). % 0.20/0.45 tff(c1_0_type, type, ( % 0.20/0.45 c1_0: $o)). % 0.20/0.45 tff(c2_0_type, type, ( % 0.20/0.45 c2_0: $o)). % 0.20/0.45 tff(tptp_fun__i_val_7_type, type, ( % 0.20/0.45 tptp_fun__i_val_7: $i)). % 0.20/0.45 tff(a694_type, type, ( % 0.20/0.45 a694: $i)). % 0.20/0.45 tff(tptp_fun__i_val_16_type, type, ( % 0.20/0.45 tptp_fun__i_val_16: $i)). % 0.20/0.45 tff(a702_type, type, ( % 0.20/0.45 a702: $i)). % 0.20/0.45 tff(tptp_fun__i_val_10_type, type, ( % 0.20/0.45 tptp_fun__i_val_10: $i)). % 0.20/0.45 tff(a713_type, type, ( % 0.20/0.45 a713: $i)). % 0.20/0.45 tff(tptp_fun__i_val_14_type, type, ( % 0.20/0.45 tptp_fun__i_val_14: $i)). % 0.20/0.45 tff(a682_type, type, ( % 0.20/0.45 a682: $i)). % 0.20/0.45 tff(tptp_fun__i_val_13_type, type, ( % 0.20/0.45 tptp_fun__i_val_13: $i)). % 0.20/0.45 tff(a709_type, type, ( % 0.20/0.45 a709: $i)). % 0.20/0.45 tff(tptp_fun__i_val_4_type, type, ( % 0.20/0.45 tptp_fun__i_val_4: $i)). % 0.20/0.45 tff(a690_type, type, ( % 0.20/0.45 a690: $i)). % 0.20/0.45 tff(tptp_fun__i_val_6_type, type, ( % 0.20/0.45 tptp_fun__i_val_6: $i)). % 0.20/0.45 tff(a692_type, type, ( % 0.20/0.45 a692: $i)). % 0.20/0.45 tff(tptp_fun__i_val_9_type, type, ( % 0.20/0.45 tptp_fun__i_val_9: $i)). % 0.20/0.45 tff(a699_type, type, ( % 0.20/0.45 a699: $i)). % 0.20/0.45 tff(tptp_fun__i_val_2_type, type, ( % 0.20/0.45 tptp_fun__i_val_2: $i)). % 0.20/0.45 tff(a687_type, type, ( % 0.20/0.45 a687: $i)). % 0.20/0.45 tff(c5_0_type, type, ( % 0.20/0.45 c5_0: $o)). % 0.20/0.45 tff(tptp_fun__i_val_1_type, type, ( % 0.20/0.45 tptp_fun__i_val_1: $i)). % 0.20/0.45 tff(a686_type, type, ( % 0.20/0.45 a686: $i)). % 0.20/0.45 tff(a695_type, type, ( % 0.20/0.45 a695: $i)). % 0.20/0.45 tff(ndr1_0_type, type, ( % 0.20/0.45 ndr1_0: $o)). % 0.20/0.45 tff(c3_0_type, type, ( % 0.20/0.45 c3_0: $o)). % 0.20/0.45 tff(tptp_fun__i_val_5_type, type, ( % 0.20/0.45 tptp_fun__i_val_5: $i)). % 0.20/0.45 tff(a691_type, type, ( % 0.20/0.45 a691: $i)). % 0.20/0.45 tff(tptp_fun__i_val_11_type, type, ( % 0.20/0.45 tptp_fun__i_val_11: $i)). % 0.20/0.45 tff(a722_type, type, ( % 0.20/0.45 a722: $i)). % 0.20/0.45 tff(c4_0_type, type, ( % 0.20/0.45 c4_0: $o)). % 0.20/0.45 tff(tptp_fun__i_val_15_type, type, ( % 0.20/0.45 tptp_fun__i_val_15: $i)). % 0.20/0.45 tff(a711_type, type, ( % 0.20/0.45 a711: $i)). % 0.20/0.45 tff(tptp_fun__i_val_3_type, type, ( % 0.20/0.45 tptp_fun__i_val_3: $i)). % 0.20/0.45 tff(a689_type, type, ( % 0.20/0.45 a689: $i)). % 0.20/0.45 tff(tptp_fun__i_val_8_type, type, ( % 0.20/0.45 tptp_fun__i_val_8: $i)). % 0.20/0.45 tff(a698_type, type, ( % 0.20/0.45 a698: $i)). % 0.20/0.45 tff(c1_1_type, type, ( % 0.20/0.45 c1_1: $i > $o)). % 0.20/0.45 tff(c3_2_type, type, ( % 0.20/0.45 c3_2: ( $i * $i ) > $o)). % 0.20/0.45 tff(ndr1_1_type, type, ( % 0.20/0.45 ndr1_1: $i > $o)). % 0.20/0.45 tff(c4_2_type, type, ( % 0.20/0.45 c4_2: ( $i * $i ) > $o)). % 0.20/0.45 tff(c5_1_type, type, ( % 0.20/0.45 c5_1: $i > $o)). % 0.20/0.45 tff(c5_2_type, type, ( % 0.20/0.45 c5_2: ( $i * $i ) > $o)). % 0.20/0.45 tff(c3_1_type, type, ( % 0.20/0.45 c3_1: $i > $o)). % 0.20/0.45 tff(c2_1_type, type, ( % 0.20/0.45 c2_1: $i > $o)). % 0.20/0.45 tff(c2_2_type, type, ( % 0.20/0.45 c2_2: ( $i * $i ) > $o)). % 0.20/0.45 tff(c1_2_type, type, ( % 0.20/0.45 c1_2: ( $i * $i ) > $o)). % 0.20/0.45 tff(c4_1_type, type, ( % 0.20/0.45 c4_1: $i > $o)). % 0.20/0.45 tff(formula1, axiom, % 0.20/0.45 a723 = $i!val!12). % 0.20/0.45 tff(formula2, axiom, % 0.20/0.45 a681 = $i!val!17). % 0.20/0.45 tff(formula3, axiom, % 0.20/0.45 a685 = $i!val!0). % 0.20/0.45 tff(formula4, axiom, % 0.20/0.45 c1_0 <=> $false). % 0.20/0.45 tff(formula5, axiom, % 0.20/0.45 c2_0 <=> $false). % 0.20/0.45 tff(formula6, axiom, % 0.20/0.45 a694 = $i!val!7). % 0.20/0.45 tff(formula7, axiom, % 0.20/0.45 a702 = $i!val!16). % 0.20/0.45 tff(formula8, axiom, % 0.20/0.45 a713 = $i!val!10). % 0.20/0.45 tff(formula9, axiom, % 0.20/0.45 a682 = $i!val!14). % 0.20/0.45 tff(formula10, axiom, % 0.20/0.45 a709 = $i!val!13). % 0.20/0.45 tff(formula11, axiom, % 0.20/0.45 a690 = $i!val!4). % 0.20/0.45 tff(formula12, axiom, % 0.20/0.45 a692 = $i!val!6). % 0.20/0.45 tff(formula13, axiom, % 0.20/0.45 a699 = $i!val!9). % 0.20/0.45 tff(formula14, axiom, % 0.20/0.45 a687 = $i!val!2). % 0.20/0.45 tff(formula15, axiom, % 0.20/0.45 c5_0 <=> $false). % 0.20/0.45 tff(formula16, axiom, % 0.20/0.45 a686 = $i!val!1). % 0.20/0.45 tff(formula17, axiom, % 0.20/0.45 a695 = $i!val!17). % 0.20/0.45 tff(formula18, axiom, % 0.20/0.45 ndr1_0 <=> $true). % 0.20/0.45 tff(formula19, axiom, % 0.20/0.45 c3_0 <=> $false). % 0.20/0.45 tff(formula20, axiom, % 0.20/0.45 a691 = $i!val!5). % 0.20/0.45 tff(formula21, axiom, % 0.20/0.45 a722 = $i!val!11). % 0.20/0.45 tff(formula22, axiom, % 0.20/0.45 c4_0 <=> $false). % 0.20/0.45 tff(formula23, axiom, % 0.20/0.45 a711 = $i!val!15). % 0.20/0.45 tff(formula24, axiom, % 0.20/0.45 a689 = $i!val!3). % 0.20/0.45 tff(formula25, axiom, % 0.20/0.45 a698 = $i!val!8). % 0.20/0.45 tff(formula26, axiom, % 0.20/0.45 ![X0: $i] : (c1_1(X0) <=> (((X0 = $i!val!3) & (~(X0 = $i!val!8)) & (~(X0 = $i!val!12))) | ((X0 = $i!val!10) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!8)) & (~(X0 = $i!val!12))) | (X0 = $i!val!12)))). % 0.20/0.45 tff(formula27, axiom, % 0.20/0.45 ![X0: $i, X1: $i] : (c3_2(X0, X1) <=> (~((X1 = $i!val!0) & (~(X1 = $i!val!7)) & (~(X1 = $i!val!16)) & (~(X1 = $i!val!10)) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!8)) & (~(X1 = $i!val!12)) & (X0 = $i!val!1) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!14)) & (~(X0 = $i!val!13)) & (~(X0 = $i!val!9)))))). % 0.20/0.45 tff(formula28, axiom, % 0.20/0.45 ![X0: $i] : (ndr1_1(X0) <=> (((X0 = $i!val!3) & (~(X0 = $i!val!8)) & (~(X0 = $i!val!12))) | ((X0 = $i!val!0) & (~(X0 = $i!val!7)) & (~(X0 = $i!val!16)) & (~(X0 = $i!val!10)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!8)) & (~(X0 = $i!val!12))) | ((X0 = $i!val!8) & (~(X0 = $i!val!12)))))). % 0.20/0.45 tff(formula29, axiom, % 0.20/0.45 ![X0: $i, X1: $i] : (c4_2(X0, X1) <=> (((X1 = $i!val!3) & (~(X1 = $i!val!8)) & (~(X1 = $i!val!12)) & (X0 = $i!val!17) & (~(X0 = $i!val!4)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!14)) & (~(X0 = $i!val!13)) & (~(X0 = $i!val!9))) | ((X1 = $i!val!8) & (~(X1 = $i!val!12)) & (X0 = $i!val!17) & (~(X0 = $i!val!4)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!14)) & (~(X0 = $i!val!13)) & (~(X0 = $i!val!9))) | ((X1 = $i!val!0) & (~(X1 = $i!val!7)) & (~(X1 = $i!val!16)) & (~(X1 = $i!val!10)) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!8)) & (~(X1 = $i!val!12)) & (~(X0 = $i!val!17)) & (~(X0 = $i!val!4)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!14)) & (~(X0 = $i!val!13)) & (~(X0 = $i!val!9))) | ((X1 = $i!val!3) & (~(X1 = $i!val!8)) & (~(X1 = $i!val!12)) & (~(X0 = $i!val!17)) & (~(X0 = $i!val!4)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!14)) & (~(X0 = $i!val!13)) & (~(X0 = $i!val!9)))))). % 0.20/0.45 tff(formula30, axiom, % 0.20/0.45 ![X0: $i] : (c5_1(X0) <=> $false)). % 0.20/0.45 tff(formula31, axiom, % 0.20/0.45 ![X0: $i, X1: $i] : (c5_2(X0, X1) <=> ((~((X1 = $i!val!3) & (~(X1 = $i!val!8)) & (~(X1 = $i!val!12)) & (~(X0 = $i!val!17)) & (~(X0 = $i!val!4)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!14)) & (~(X0 = $i!val!13)) & (~(X0 = $i!val!9)))) & (~((X1 = $i!val!16) & (~(X1 = $i!val!10)) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!8)) & (~(X1 = $i!val!12)) & (X0 = $i!val!4) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!14)) & (~(X0 = $i!val!13)) & (~(X0 = $i!val!9)))) & (~((X1 = $i!val!0) & (~(X1 = $i!val!7)) & (~(X1 = $i!val!16)) & (~(X1 = $i!val!10)) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!8)) & (~(X1 = $i!val!12)) & (X0 = $i!val!1) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!14)) & (~(X0 = $i!val!13)) & (~(X0 = $i!val!9))))))). % 0.20/0.45 tff(formula32, axiom, % 0.20/0.45 c3_1($i!val!7) <=> $false). % 0.20/0.45 tff(formula33, axiom, % 0.20/0.45 ![X0: $i] : ((~(($i!val!7 = X0))) => (c3_1(X0) <=> $true))). % 0.20/0.45 tff(formula34, axiom, % 0.20/0.45 ![X0: $i] : (c2_1(X0) <=> $false)). % 0.20/0.45 tff(formula35, axiom, % 0.20/0.45 ![X0: $i, X1: $i] : (c2_2(X0, X1) <=> ((X1 = $i!val!3) & (~(X1 = $i!val!8)) & (~(X1 = $i!val!12)) & (X0 = $i!val!4) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!14)) & (~(X0 = $i!val!13)) & (~(X0 = $i!val!9))))). % 0.20/0.45 tff(formula36, axiom, % 0.20/0.45 ![X0: $i, X1: $i] : (c1_2(X0, X1) <=> (((X1 = $i!val!0) & (~(X1 = $i!val!7)) & (~(X1 = $i!val!16)) & (~(X1 = $i!val!10)) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!8)) & (~(X1 = $i!val!12)) & (~(X0 = $i!val!17)) & (~(X0 = $i!val!4)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!14)) & (~(X0 = $i!val!13)) & (~(X0 = $i!val!9))) | ((X1 = $i!val!8) & (~(X1 = $i!val!12)) & (X0 = $i!val!14) & (~(X0 = $i!val!13)) & (~(X0 = $i!val!9))) | ((X1 = $i!val!3) & (~(X1 = $i!val!8)) & (~(X1 = $i!val!12)) & (X0 = $i!val!5) & (~(X0 = $i!val!14)) & (~(X0 = $i!val!13)) & (~(X0 = $i!val!9))) | ((X1 = $i!val!3) & (~(X1 = $i!val!8)) & (~(X1 = $i!val!12)) & (X0 = $i!val!14) & (~(X0 = $i!val!13)) & (~(X0 = $i!val!9))) | ((X1 = $i!val!0) & (~(X1 = $i!val!7)) & (~(X1 = $i!val!16)) & (~(X1 = $i!val!10)) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!8)) & (~(X1 = $i!val!12)) & (X0 = $i!val!14) & (~(X0 = $i!val!13)) & (~(X0 = $i!val!9)))))). % 0.20/0.45 tff(formula37, axiom, % 0.20/0.45 ![X0: $i] : (c4_1(X0) <=> $false)). % 0.20/0.45 % SZS output end Model % 0.20/0.46 % E exiting %------------------------------------------------------------------------------