%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : SYN541+1 : TPTP v9.0.0. Released v2.1.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n002.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 0.21s 0.42s % Output : Model 0.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SYN541+1 : TPTP v9.0.0. Released v2.1.0. % 0.03/0.12 % Command : run_E %s %d THM % 0.12/0.33 % Computer : n002.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 300 % 0.12/0.33 % DateTime : Fri Jun 20 12:39:32 EDT 2025 % 0.12/0.33 % CPUTime : % 0.21/0.42 % SZS status CounterSatisfiable % 0.21/0.42 % SZS output start Model % 0.21/0.42 tff(c2_0_type, type, ( % 0.21/0.42 c2_0: $o)). % 0.21/0.42 tff(tptp_fun__i_val_21_type, type, ( % 0.21/0.42 tptp_fun__i_val_21: $i)). % 0.21/0.42 tff(a771_type, type, ( % 0.21/0.42 a771: $i)). % 0.21/0.42 tff(tptp_fun__i_val_0_type, type, ( % 0.21/0.42 tptp_fun__i_val_0: $i)). % 0.21/0.42 tff(a726_type, type, ( % 0.21/0.42 a726: $i)). % 0.21/0.42 tff(tptp_fun__i_val_23_type, type, ( % 0.21/0.42 tptp_fun__i_val_23: $i)). % 0.21/0.42 tff(a762_type, type, ( % 0.21/0.42 a762: $i)). % 0.21/0.42 tff(ndr1_0_type, type, ( % 0.21/0.42 ndr1_0: $o)). % 0.21/0.42 tff(c3_0_type, type, ( % 0.21/0.42 c3_0: $o)). % 0.21/0.42 tff(tptp_fun__i_val_8_type, type, ( % 0.21/0.42 tptp_fun__i_val_8: $i)). % 0.21/0.42 tff(a747_type, type, ( % 0.21/0.42 a747: $i)). % 0.21/0.42 tff(tptp_fun__i_val_10_type, type, ( % 0.21/0.42 tptp_fun__i_val_10: $i)). % 0.21/0.42 tff(a748_type, type, ( % 0.21/0.42 a748: $i)). % 0.21/0.42 tff(tptp_fun__i_val_2_type, type, ( % 0.21/0.42 tptp_fun__i_val_2: $i)). % 0.21/0.42 tff(a728_type, type, ( % 0.21/0.42 a728: $i)). % 0.21/0.42 tff(tptp_fun__i_val_11_type, type, ( % 0.21/0.42 tptp_fun__i_val_11: $i)). % 0.21/0.42 tff(a757_type, type, ( % 0.21/0.42 a757: $i)). % 0.21/0.42 tff(tptp_fun__i_val_16_type, type, ( % 0.21/0.42 tptp_fun__i_val_16: $i)). % 0.21/0.42 tff(a765_type, type, ( % 0.21/0.42 a765: $i)). % 0.21/0.42 tff(tptp_fun__i_val_19_type, type, ( % 0.21/0.42 tptp_fun__i_val_19: $i)). % 0.21/0.42 tff(a769_type, type, ( % 0.21/0.42 a769: $i)). % 0.21/0.42 tff(tptp_fun__i_val_3_type, type, ( % 0.21/0.42 tptp_fun__i_val_3: $i)). % 0.21/0.42 tff(a731_type, type, ( % 0.21/0.42 a731: $i)). % 0.21/0.42 tff(tptp_fun__i_val_12_type, type, ( % 0.21/0.42 tptp_fun__i_val_12: $i)). % 0.21/0.42 tff(a759_type, type, ( % 0.21/0.42 a759: $i)). % 0.21/0.42 tff(c1_0_type, type, ( % 0.21/0.42 c1_0: $o)). % 0.21/0.42 tff(tptp_fun__i_val_1_type, type, ( % 0.21/0.42 tptp_fun__i_val_1: $i)). % 0.21/0.42 tff(a727_type, type, ( % 0.21/0.42 a727: $i)). % 0.21/0.42 tff(tptp_fun__i_val_17_type, type, ( % 0.21/0.42 tptp_fun__i_val_17: $i)). % 0.21/0.42 tff(a767_type, type, ( % 0.21/0.42 a767: $i)). % 0.21/0.42 tff(tptp_fun__i_val_7_type, type, ( % 0.21/0.42 tptp_fun__i_val_7: $i)). % 0.21/0.42 tff(a745_type, type, ( % 0.21/0.42 a745: $i)). % 0.21/0.42 tff(tptp_fun__i_val_15_type, type, ( % 0.21/0.42 tptp_fun__i_val_15: $i)). % 0.21/0.42 tff(a764_type, type, ( % 0.21/0.42 a764: $i)). % 0.21/0.42 tff(tptp_fun__i_val_18_type, type, ( % 0.21/0.42 tptp_fun__i_val_18: $i)). % 0.21/0.42 tff(a768_type, type, ( % 0.21/0.42 a768: $i)). % 0.21/0.42 tff(tptp_fun__i_val_22_type, type, ( % 0.21/0.42 tptp_fun__i_val_22: $i)). % 0.21/0.42 tff(a774_type, type, ( % 0.21/0.42 a774: $i)). % 0.21/0.42 tff(tptp_fun__i_val_4_type, type, ( % 0.21/0.42 tptp_fun__i_val_4: $i)). % 0.21/0.42 tff(a734_type, type, ( % 0.21/0.42 a734: $i)). % 0.21/0.42 tff(tptp_fun__i_val_5_type, type, ( % 0.21/0.42 tptp_fun__i_val_5: $i)). % 0.21/0.42 tff(a741_type, type, ( % 0.21/0.42 a741: $i)). % 0.21/0.42 tff(c5_0_type, type, ( % 0.21/0.42 c5_0: $o)). % 0.21/0.42 tff(tptp_fun__i_val_13_type, type, ( % 0.21/0.42 tptp_fun__i_val_13: $i)). % 0.21/0.42 tff(a760_type, type, ( % 0.21/0.42 a760: $i)). % 0.21/0.42 tff(tptp_fun__i_val_14_type, type, ( % 0.21/0.42 tptp_fun__i_val_14: $i)). % 0.21/0.42 tff(a763_type, type, ( % 0.21/0.42 a763: $i)). % 0.21/0.42 tff(c4_0_type, type, ( % 0.21/0.42 c4_0: $o)). % 0.21/0.42 tff(tptp_fun__i_val_6_type, type, ( % 0.21/0.42 tptp_fun__i_val_6: $i)). % 0.21/0.42 tff(a744_type, type, ( % 0.21/0.42 a744: $i)). % 0.21/0.42 tff(tptp_fun__i_val_9_type, type, ( % 0.21/0.42 tptp_fun__i_val_9: $i)). % 0.21/0.42 tff(a749_type, type, ( % 0.21/0.42 a749: $i)). % 0.21/0.42 tff(tptp_fun__i_val_20_type, type, ( % 0.21/0.42 tptp_fun__i_val_20: $i)). % 0.21/0.42 tff(a770_type, type, ( % 0.21/0.42 a770: $i)). % 0.21/0.42 tff(ndr1_1_type, type, ( % 0.21/0.42 ndr1_1: $i > $o)). % 0.21/0.42 tff(k!1_type, type, ( % 0.21/0.42 k!1: $i > $i)). % 0.21/0.42 tff(k!0_type, type, ( % 0.21/0.42 k!0: $i > $i)). % 0.21/0.42 tff(c3_2_type, type, ( % 0.21/0.42 c3_2: ( $i * $i ) > $o)). % 0.21/0.42 tff(c4_2_type, type, ( % 0.21/0.42 c4_2: ( $i * $i ) > $o)). % 0.21/0.42 tff(c1_1_type, type, ( % 0.21/0.42 c1_1: $i > $o)). % 0.21/0.42 tff(c5_1_type, type, ( % 0.21/0.42 c5_1: $i > $o)). % 0.21/0.42 tff(c5_2_type, type, ( % 0.21/0.42 c5_2: ( $i * $i ) > $o)). % 0.21/0.42 tff(c2_1_type, type, ( % 0.21/0.42 c2_1: $i > $o)). % 0.21/0.42 tff(c3_1_type, type, ( % 0.21/0.42 c3_1: $i > $o)). % 0.21/0.42 tff(c2_2_type, type, ( % 0.21/0.42 c2_2: ( $i * $i ) > $o)). % 0.21/0.42 tff(c4_1_type, type, ( % 0.21/0.42 c4_1: $i > $o)). % 0.21/0.42 tff(c1_2_type, type, ( % 0.21/0.42 c1_2: ( $i * $i ) > $o)). % 0.21/0.42 tff(formula1, axiom, % 0.21/0.42 c2_0 <=> $true). % 0.21/0.42 tff(formula2, axiom, % 0.21/0.42 a771 = $i!val!21). % 0.21/0.42 tff(formula3, axiom, % 0.21/0.42 a726 = $i!val!0). % 0.21/0.42 tff(formula4, axiom, % 0.21/0.42 a762 = $i!val!23). % 0.21/0.42 tff(formula5, axiom, % 0.21/0.42 ndr1_0 <=> $true). % 0.21/0.42 tff(formula6, axiom, % 0.21/0.42 c3_0 <=> $true). % 0.21/0.42 tff(formula7, axiom, % 0.21/0.42 a747 = $i!val!8). % 0.21/0.42 tff(formula8, axiom, % 0.21/0.42 a748 = $i!val!10). % 0.21/0.42 tff(formula9, axiom, % 0.21/0.42 a728 = $i!val!2). % 0.21/0.42 tff(formula10, axiom, % 0.21/0.42 a757 = $i!val!11). % 0.21/0.42 tff(formula11, axiom, % 0.21/0.42 a765 = $i!val!16). % 0.21/0.42 tff(formula12, axiom, % 0.21/0.42 a769 = $i!val!19). % 0.21/0.42 tff(formula13, axiom, % 0.21/0.42 a731 = $i!val!3). % 0.21/0.42 tff(formula14, axiom, % 0.21/0.42 a759 = $i!val!12). % 0.21/0.42 tff(formula15, axiom, % 0.21/0.42 c1_0 <=> $true). % 0.21/0.42 tff(formula16, axiom, % 0.21/0.42 a727 = $i!val!1). % 0.21/0.42 tff(formula17, axiom, % 0.21/0.42 a767 = $i!val!17). % 0.21/0.42 tff(formula18, axiom, % 0.21/0.42 a745 = $i!val!7). % 0.21/0.42 tff(formula19, axiom, % 0.21/0.42 a764 = $i!val!15). % 0.21/0.42 tff(formula20, axiom, % 0.21/0.42 a768 = $i!val!18). % 0.21/0.42 tff(formula21, axiom, % 0.21/0.42 a774 = $i!val!22). % 0.21/0.42 tff(formula22, axiom, % 0.21/0.42 a734 = $i!val!4). % 0.21/0.42 tff(formula23, axiom, % 0.21/0.42 a741 = $i!val!5). % 0.21/0.42 tff(formula24, axiom, % 0.21/0.42 c5_0 <=> $false). % 0.21/0.42 tff(formula25, axiom, % 0.21/0.42 a760 = $i!val!13). % 0.21/0.42 tff(formula26, axiom, % 0.21/0.42 a763 = $i!val!14). % 0.21/0.42 tff(formula27, axiom, % 0.21/0.42 c4_0 <=> $true). % 0.21/0.42 tff(formula28, axiom, % 0.21/0.42 a744 = $i!val!6). % 0.21/0.42 tff(formula29, axiom, % 0.21/0.42 a749 = $i!val!9). % 0.21/0.42 tff(formula30, axiom, % 0.21/0.42 a770 = $i!val!20). % 0.21/0.42 tff(formula31, axiom, % 0.21/0.42 ![X0: $i] : (ndr1_1(X0) <=> $true)). % 0.21/0.42 tff(formula32, axiom, % 0.21/0.42 ![X0: $i, X1: $i] : (c3_2(X0, X1) <=> ((~((k!0(X1) = $i!val!12) & (k!1(X0) = $i!val!13))) & (~((k!0(X1) = $i!val!8) & (k!1(X0) = $i!val!10)))))). % 0.21/0.42 tff(formula33, axiom, % 0.21/0.42 k!0($i!val!0) = $i!val!0). % 0.21/0.42 tff(formula34, axiom, % 0.21/0.42 k!0($i!val!12) = $i!val!12). % 0.21/0.42 tff(formula35, axiom, % 0.21/0.42 k!0($i!val!5) = $i!val!5). % 0.21/0.42 tff(formula36, axiom, % 0.21/0.42 k!0($i!val!14) = $i!val!14). % 0.21/0.42 tff(formula37, axiom, % 0.21/0.42 k!0($i!val!11) = $i!val!11). % 0.21/0.42 tff(formula38, axiom, % 0.21/0.42 k!0($i!val!17) = $i!val!17). % 0.21/0.42 tff(formula39, axiom, % 0.21/0.42 k!0($i!val!8) = $i!val!8). % 0.21/0.42 tff(formula40, axiom, % 0.21/0.42 k!0($i!val!16) = $i!val!16). % 0.21/0.42 tff(formula41, axiom, % 0.21/0.42 k!0($i!val!6) = $i!val!6). % 0.21/0.42 tff(formula42, axiom, % 0.21/0.42 k!0($i!val!4) = $i!val!4). % 0.21/0.42 tff(formula43, axiom, % 0.21/0.42 k!0($i!val!19) = $i!val!19). % 0.21/0.42 tff(formula44, axiom, % 0.21/0.42 k!0($i!val!22) = $i!val!22). % 0.21/0.42 tff(formula45, axiom, % 0.21/0.42 ![X0: $i] : ((~((($i!val!0 = X0)) | (($i!val!12 = X0)) | (($i!val!5 = X0)) | (($i!val!14 = X0)) | (($i!val!11 = X0)) | (($i!val!17 = X0)) | (($i!val!8 = X0)) | (($i!val!16 = X0)) | (($i!val!6 = X0)) | (($i!val!4 = X0)) | (($i!val!19 = X0)) | (($i!val!22 = X0)))) => (k!0(X0) = $i!val!3))). % 0.21/0.42 tff(formula46, axiom, % 0.21/0.42 ![X0: $i, X1: $i] : (c4_2(X0, X1) <=> (((k!0(X1) = $i!val!12) & (k!1(X0) = $i!val!13)) | ((k!0(X1) = $i!val!0) & (k!1(X0) = $i!val!1)) | ((k!0(X1) = $i!val!19) & (k!1(X0) = $i!val!20)) | ((k!0(X1) = $i!val!17) & (k!1(X0) = $i!val!18))))). % 0.21/0.42 tff(formula47, axiom, % 0.21/0.42 ![X0: $i] : (c1_1(X0) <=> $false)). % 0.21/0.42 tff(formula48, axiom, % 0.21/0.42 ![X0: $i] : (c5_1(X0) <=> ((k!0(X0) = $i!val!16) | (k!0(X0) = $i!val!17)))). % 0.21/0.42 tff(formula49, axiom, % 0.21/0.42 ![X0: $i, X1: $i] : (c5_2(X0, X1) <=> ((X1 = $i!val!14) & (k!1(X0) = $i!val!15)))). % 0.21/0.42 tff(formula50, axiom, % 0.21/0.42 ![X0: $i] : (c2_1(X0) <=> ((k!0(X0) = $i!val!5) | (k!0(X0) = $i!val!3) | (k!0(X0) = $i!val!19) | (k!0(X0) = $i!val!6)))). % 0.21/0.42 tff(formula51, axiom, % 0.21/0.42 ![X0: $i] : (c3_1(X0) <=> (~(k!0(X0) = $i!val!19)))). % 0.21/0.42 tff(formula52, axiom, % 0.21/0.42 ![X0: $i, X1: $i] : (c2_2(X0, X1) <=> ((~((k!0(X1) = $i!val!19) & (k!1(X0) = $i!val!20))) & (~((k!0(X1) = $i!val!8) & (k!1(X0) = $i!val!10))) & (~((k!0(X1) = $i!val!8) & (k!1(X0) = $i!val!9)))))). % 0.21/0.42 tff(formula53, axiom, % 0.21/0.42 k!1($i!val!13) = $i!val!13). % 0.21/0.42 tff(formula54, axiom, % 0.21/0.42 k!1($i!val!1) = $i!val!1). % 0.21/0.42 tff(formula55, axiom, % 0.21/0.42 k!1($i!val!7) = $i!val!7). % 0.21/0.42 tff(formula56, axiom, % 0.21/0.42 k!1($i!val!10) = $i!val!10). % 0.21/0.42 tff(formula57, axiom, % 0.21/0.42 k!1($i!val!2) = $i!val!2). % 0.21/0.42 tff(formula58, axiom, % 0.21/0.42 k!1($i!val!15) = $i!val!15). % 0.21/0.42 tff(formula59, axiom, % 0.21/0.42 k!1($i!val!18) = $i!val!18). % 0.21/0.42 tff(formula60, axiom, % 0.21/0.42 k!1($i!val!9) = $i!val!9). % 0.21/0.42 tff(formula61, axiom, % 0.21/0.42 k!1($i!val!20) = $i!val!20). % 0.21/0.42 tff(formula62, axiom, % 0.21/0.42 ![X0: $i] : ((~((($i!val!13 = X0)) | (($i!val!1 = X0)) | (($i!val!7 = X0)) | (($i!val!10 = X0)) | (($i!val!2 = X0)) | (($i!val!15 = X0)) | (($i!val!18 = X0)) | (($i!val!9 = X0)) | (($i!val!20 = X0)))) => (k!1(X0) = $i!val!23))). % 0.21/0.42 tff(formula63, axiom, % 0.21/0.42 c4_1($i!val!5) <=> $false). % 0.21/0.42 tff(formula64, axiom, % 0.21/0.42 c4_1($i!val!16) <=> $false). % 0.21/0.42 tff(formula65, axiom, % 0.21/0.42 c4_1($i!val!17) <=> $false). % 0.21/0.42 tff(formula66, axiom, % 0.21/0.42 ![X0: $i] : ((~((($i!val!5 = X0)) | (($i!val!16 = X0)) | (($i!val!17 = X0)))) => (c4_1(X0) <=> $true))). % 0.21/0.42 tff(formula67, axiom, % 0.21/0.42 ![X0: $i, X1: $i] : (c1_2(X0, X1) <=> ((~((k!0(X1) = $i!val!17) & (k!1(X0) = $i!val!18))) & (~((k!0(X1) = $i!val!12) & (k!1(X0) = $i!val!13)))))). % 0.21/0.42 % SZS output end Model % 0.21/0.43 % E exiting %------------------------------------------------------------------------------