%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : SYN526-1 : TPTP v9.0.0. Released v2.1.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n005.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 05:39:28 AM UTC 2025 % Result : Satisfiable 0.19s 0.45s % Output : Model 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.12 % Problem : SYN526-1 : TPTP v9.0.0. Released v2.1.0. % 0.10/0.12 % Command : run_E %s %d THM % 0.12/0.32 % Computer : n005.cluster.edu % 0.12/0.32 % Model : x86_64 x86_64 % 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.32 % Memory : 8042.1875MB % 0.12/0.32 % 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 12:37:20 EDT 2025 % 0.12/0.33 % CPUTime : % 0.19/0.45 % SZS status Satisfiable % 0.19/0.45 % SZS output start Model % 0.19/0.45 tff(tptp_fun__i_val_1_type, type, ( % 0.19/0.45 tptp_fun__i_val_1: $i)). % 0.19/0.45 tff(a234_type, type, ( % 0.19/0.45 a234: $i)). % 0.19/0.45 tff(tptp_fun__i_val_2_type, type, ( % 0.19/0.45 tptp_fun__i_val_2: $i)). % 0.19/0.45 tff(a223_type, type, ( % 0.19/0.45 a223: $i)). % 0.19/0.45 tff(tptp_fun__i_val_7_type, type, ( % 0.19/0.45 tptp_fun__i_val_7: $i)). % 0.19/0.45 tff(a247_type, type, ( % 0.19/0.45 a247: $i)). % 0.19/0.45 tff(ssSkC4_type, type, ( % 0.19/0.45 ssSkC4: $o)). % 0.19/0.45 tff(ssSkC3_type, type, ( % 0.19/0.45 ssSkC3: $o)). % 0.19/0.45 tff(tptp_fun__i_val_6_type, type, ( % 0.19/0.45 tptp_fun__i_val_6: $i)). % 0.19/0.45 tff(a224_type, type, ( % 0.19/0.45 a224: $i)). % 0.19/0.45 tff(tptp_fun__i_val_13_type, type, ( % 0.19/0.45 tptp_fun__i_val_13: $i)). % 0.19/0.45 tff(a228_type, type, ( % 0.19/0.45 a228: $i)). % 0.19/0.45 tff(tptp_fun__i_val_0_type, type, ( % 0.19/0.45 tptp_fun__i_val_0: $i)). % 0.19/0.45 tff(a248_type, type, ( % 0.19/0.45 a248: $i)). % 0.19/0.45 tff(tptp_fun__i_val_4_type, type, ( % 0.19/0.45 tptp_fun__i_val_4: $i)). % 0.19/0.45 tff(a245_type, type, ( % 0.19/0.45 a245: $i)). % 0.19/0.45 tff(tptp_fun__i_val_9_type, type, ( % 0.19/0.45 tptp_fun__i_val_9: $i)). % 0.19/0.45 tff(a235_type, type, ( % 0.19/0.45 a235: $i)). % 0.19/0.45 tff(a237_type, type, ( % 0.19/0.45 a237: $i)). % 0.19/0.45 tff(ssSkC1_type, type, ( % 0.19/0.45 ssSkC1: $o)). % 0.19/0.45 tff(ssSkC5_type, type, ( % 0.19/0.45 ssSkC5: $o)). % 0.19/0.45 tff(tptp_fun__i_val_10_type, type, ( % 0.19/0.45 tptp_fun__i_val_10: $i)). % 0.19/0.45 tff(a238_type, type, ( % 0.19/0.45 a238: $i)). % 0.19/0.45 tff(a231_type, type, ( % 0.19/0.45 a231: $i)). % 0.19/0.45 tff(tptp_fun__i_val_5_type, type, ( % 0.19/0.45 tptp_fun__i_val_5: $i)). % 0.19/0.45 tff(a220_type, type, ( % 0.19/0.45 a220: $i)). % 0.19/0.45 tff(ssSkC0_type, type, ( % 0.19/0.45 ssSkC0: $o)). % 0.19/0.45 tff(ndr1_0_type, type, ( % 0.19/0.45 ndr1_0: $o)). % 0.19/0.45 tff(c3_0_type, type, ( % 0.19/0.45 c3_0: $o)). % 0.19/0.45 tff(a242_type, type, ( % 0.19/0.45 a242: $i)). % 0.19/0.45 tff(tptp_fun__i_val_12_type, type, ( % 0.19/0.45 tptp_fun__i_val_12: $i)). % 0.19/0.45 tff(a233_type, type, ( % 0.19/0.45 a233: $i)). % 0.19/0.45 tff(ssSkC7_type, type, ( % 0.19/0.45 ssSkC7: $o)). % 0.19/0.45 tff(tptp_fun__i_val_11_type, type, ( % 0.19/0.45 tptp_fun__i_val_11: $i)). % 0.19/0.45 tff(a246_type, type, ( % 0.19/0.45 a246: $i)). % 0.19/0.45 tff(a221_type, type, ( % 0.19/0.45 a221: $i)). % 0.19/0.45 tff(a250_type, type, ( % 0.19/0.45 a250: $i)). % 0.19/0.45 tff(ssSkC8_type, type, ( % 0.19/0.45 ssSkC8: $o)). % 0.19/0.45 tff(ssSkC6_type, type, ( % 0.19/0.45 ssSkC6: $o)). % 0.19/0.45 tff(a236_type, type, ( % 0.19/0.45 a236: $i)). % 0.19/0.45 tff(tptp_fun__i_val_3_type, type, ( % 0.19/0.45 tptp_fun__i_val_3: $i)). % 0.19/0.45 tff(a249_type, type, ( % 0.19/0.45 a249: $i)). % 0.19/0.45 tff(a232_type, type, ( % 0.19/0.45 a232: $i)). % 0.19/0.45 tff(tptp_fun__i_val_15_type, type, ( % 0.19/0.45 tptp_fun__i_val_15: $i)). % 0.19/0.45 tff(a218_type, type, ( % 0.19/0.45 a218: $i)). % 0.19/0.45 tff(tptp_fun__i_val_8_type, type, ( % 0.19/0.45 tptp_fun__i_val_8: $i)). % 0.19/0.45 tff(a227_type, type, ( % 0.19/0.45 a227: $i)). % 0.19/0.45 tff(c2_0_type, type, ( % 0.19/0.45 c2_0: $o)). % 0.19/0.45 tff(a229_type, type, ( % 0.19/0.45 a229: $i)). % 0.19/0.45 tff(c5_0_type, type, ( % 0.19/0.45 c5_0: $o)). % 0.19/0.45 tff(a239_type, type, ( % 0.19/0.45 a239: $i)). % 0.19/0.45 tff(a244_type, type, ( % 0.19/0.45 a244: $i)). % 0.19/0.45 tff(tptp_fun__i_val_14_type, type, ( % 0.19/0.45 tptp_fun__i_val_14: $i)). % 0.19/0.45 tff(a219_type, type, ( % 0.19/0.45 a219: $i)). % 0.19/0.45 tff(a243_type, type, ( % 0.19/0.45 a243: $i)). % 0.19/0.45 tff(ssSkC2_type, type, ( % 0.19/0.45 ssSkC2: $o)). % 0.19/0.45 tff(a230_type, type, ( % 0.19/0.45 a230: $i)). % 0.19/0.45 tff(c4_0_type, type, ( % 0.19/0.45 c4_0: $o)). % 0.19/0.45 tff(c1_0_type, type, ( % 0.19/0.45 c1_0: $o)). % 0.19/0.45 tff(ssSkC9_type, type, ( % 0.19/0.45 ssSkC9: $o)). % 0.19/0.45 tff(ndr1_1_type, type, ( % 0.19/0.45 ndr1_1: $i > $o)). % 0.19/0.45 tff(k!210_type, type, ( % 0.19/0.45 k!210: $i > $i)). % 0.19/0.45 tff(c3_2_type, type, ( % 0.19/0.45 c3_2: ( $i * $i ) > $o)). % 0.19/0.45 tff(c1_1_type, type, ( % 0.19/0.45 c1_1: $i > $o)). % 0.19/0.45 tff(c4_2_type, type, ( % 0.19/0.45 c4_2: ( $i * $i ) > $o)). % 0.19/0.45 tff(c5_1_type, type, ( % 0.19/0.45 c5_1: $i > $o)). % 0.19/0.45 tff(ssSkP0_type, type, ( % 0.19/0.45 ssSkP0: $i > $o)). % 0.19/0.45 tff(c5_2_type, type, ( % 0.19/0.45 c5_2: ( $i * $i ) > $o)). % 0.19/0.45 tff(c3_1_type, type, ( % 0.19/0.45 c3_1: $i > $o)). % 0.19/0.45 tff(c2_1_type, type, ( % 0.19/0.45 c2_1: $i > $o)). % 0.19/0.45 tff(c2_2_type, type, ( % 0.19/0.45 c2_2: ( $i * $i ) > $o)). % 0.19/0.45 tff(c4_1_type, type, ( % 0.19/0.45 c4_1: $i > $o)). % 0.19/0.45 tff(c1_2_type, type, ( % 0.19/0.45 c1_2: ( $i * $i ) > $o)). % 0.19/0.45 tff(formula1, axiom, % 0.19/0.45 a234 = $i!val!1). % 0.19/0.45 tff(formula2, axiom, % 0.19/0.45 a223 = $i!val!2). % 0.19/0.45 tff(formula3, axiom, % 0.19/0.45 a247 = $i!val!7). % 0.19/0.45 tff(formula4, axiom, % 0.19/0.45 ssSkC4 <=> $true). % 0.19/0.45 tff(formula5, axiom, % 0.19/0.45 ssSkC3 <=> $true). % 0.19/0.45 tff(formula6, axiom, % 0.19/0.45 a224 = $i!val!6). % 0.19/0.45 tff(formula7, axiom, % 0.19/0.45 a228 = $i!val!13). % 0.19/0.45 tff(formula8, axiom, % 0.19/0.45 a248 = $i!val!0). % 0.19/0.45 tff(formula9, axiom, % 0.19/0.45 a245 = $i!val!4). % 0.19/0.45 tff(formula10, axiom, % 0.19/0.45 a235 = $i!val!9). % 0.19/0.45 tff(formula11, axiom, % 0.19/0.45 a237 = $i!val!7). % 0.19/0.45 tff(formula12, axiom, % 0.19/0.45 ssSkC1 <=> $false). % 0.19/0.45 tff(formula13, axiom, % 0.19/0.45 ssSkC5 <=> $false). % 0.19/0.45 tff(formula14, axiom, % 0.19/0.45 a238 = $i!val!10). % 0.19/0.45 tff(formula15, axiom, % 0.19/0.45 a231 = $i!val!7). % 0.19/0.45 tff(formula16, axiom, % 0.19/0.45 a220 = $i!val!5). % 0.19/0.45 tff(formula17, axiom, % 0.19/0.45 ssSkC0 <=> $false). % 0.19/0.45 tff(formula18, axiom, % 0.19/0.45 ndr1_0 <=> $true). % 0.19/0.45 tff(formula19, axiom, % 0.19/0.45 c3_0 <=> $false). % 0.19/0.45 tff(formula20, axiom, % 0.19/0.45 a242 = $i!val!5). % 0.19/0.45 tff(formula21, axiom, % 0.19/0.45 a233 = $i!val!12). % 0.19/0.45 tff(formula22, axiom, % 0.19/0.45 ssSkC7 <=> $false). % 0.19/0.45 tff(formula23, axiom, % 0.19/0.45 a246 = $i!val!11). % 0.19/0.45 tff(formula24, axiom, % 0.19/0.45 a221 = $i!val!7). % 0.19/0.45 tff(formula25, axiom, % 0.19/0.45 a250 = $i!val!10). % 0.19/0.45 tff(formula26, axiom, % 0.19/0.45 ssSkC8 <=> $false). % 0.19/0.45 tff(formula27, axiom, % 0.19/0.45 ssSkC6 <=> $false). % 0.19/0.45 tff(formula28, axiom, % 0.19/0.45 a236 = $i!val!1). % 0.19/0.45 tff(formula29, axiom, % 0.19/0.45 a249 = $i!val!3). % 0.19/0.45 tff(formula30, axiom, % 0.19/0.45 a232 = $i!val!7). % 0.19/0.45 tff(formula31, axiom, % 0.19/0.45 a218 = $i!val!15). % 0.19/0.45 tff(formula32, axiom, % 0.19/0.45 a227 = $i!val!8). % 0.19/0.45 tff(formula33, axiom, % 0.19/0.45 c2_0 <=> $false). % 0.19/0.45 tff(formula34, axiom, % 0.19/0.45 a229 = $i!val!9). % 0.19/0.45 tff(formula35, axiom, % 0.19/0.45 c5_0 <=> $true). % 0.19/0.45 tff(formula36, axiom, % 0.19/0.45 a239 = $i!val!13). % 0.19/0.45 tff(formula37, axiom, % 0.19/0.45 a244 = $i!val!7). % 0.19/0.45 tff(formula38, axiom, % 0.19/0.45 a219 = $i!val!14). % 0.19/0.45 tff(formula39, axiom, % 0.19/0.45 a243 = $i!val!13). % 0.19/0.45 tff(formula40, axiom, % 0.19/0.45 ssSkC2 <=> $false). % 0.19/0.45 tff(formula41, axiom, % 0.19/0.45 a230 = $i!val!4). % 0.19/0.45 tff(formula42, axiom, % 0.19/0.45 c4_0 <=> $false). % 0.19/0.45 tff(formula43, axiom, % 0.19/0.45 c1_0 <=> $true). % 0.19/0.45 tff(formula44, axiom, % 0.19/0.45 ssSkC9 <=> $false). % 0.19/0.45 tff(formula45, axiom, % 0.19/0.45 ![X0: $i] : (ndr1_1(X0) <=> $true)). % 0.19/0.45 tff(formula46, axiom, % 0.19/0.45 ![X0: $i, X1: $i] : (c3_2(X0, X1) <=> ((X1 = $i!val!2) & (k!210(X0) = $i!val!10)))). % 0.19/0.45 tff(formula47, axiom, % 0.19/0.45 ![X0: $i] : (c1_1(X0) <=> $true)). % 0.19/0.45 tff(formula48, axiom, % 0.19/0.45 ![X0: $i, X1: $i] : (c4_2(X0, X1) <=> (((~(X1 = $i!val!4)) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!7)) & (~(X1 = $i!val!2)) & (k!210(X0) = $i!val!3)) | ((X1 = $i!val!2) & (k!210(X0) = $i!val!6)) | ((X1 = $i!val!4) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!7)) & (~(X1 = $i!val!2)) & (k!210(X0) = $i!val!8))))). % 0.19/0.45 tff(formula49, axiom, % 0.19/0.45 k!210($i!val!13) = $i!val!13). % 0.19/0.45 tff(formula50, axiom, % 0.19/0.45 k!210($i!val!3) = $i!val!3). % 0.19/0.45 tff(formula51, axiom, % 0.19/0.45 k!210($i!val!6) = $i!val!6). % 0.19/0.45 tff(formula52, axiom, % 0.19/0.45 k!210($i!val!14) = $i!val!14). % 0.19/0.45 tff(formula53, axiom, % 0.19/0.45 k!210($i!val!15) = $i!val!15). % 0.19/0.45 tff(formula54, axiom, % 0.19/0.45 k!210($i!val!9) = $i!val!9). % 0.19/0.45 tff(formula55, axiom, % 0.19/0.45 k!210($i!val!12) = $i!val!12). % 0.19/0.45 tff(formula56, axiom, % 0.19/0.45 k!210($i!val!11) = $i!val!11). % 0.19/0.45 tff(formula57, axiom, % 0.19/0.45 k!210($i!val!8) = $i!val!8). % 0.19/0.45 tff(formula58, axiom, % 0.19/0.45 ![X0: $i] : ((~((($i!val!13 = X0)) | (($i!val!3 = X0)) | (($i!val!6 = X0)) | (($i!val!14 = X0)) | (($i!val!15 = X0)) | (($i!val!9 = X0)) | (($i!val!12 = X0)) | (($i!val!11 = X0)) | (($i!val!8 = X0)))) => (k!210(X0) = $i!val!10))). % 0.19/0.45 tff(formula59, axiom, % 0.19/0.45 ![X0: $i] : (c5_1(X0) <=> (~((X0 = $i!val!4) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!7)) & (~(X0 = $i!val!2)))))). % 0.19/0.45 tff(formula60, axiom, % 0.19/0.45 ![X0: $i] : (ssSkP0(X0) <=> (~((X0 = $i!val!4) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!7)) & (~(X0 = $i!val!2)))))). % 0.19/0.45 tff(formula61, axiom, % 0.19/0.45 ![X0: $i, X1: $i] : (c5_2(X0, X1) <=> $false)). % 0.19/0.45 tff(formula62, axiom, % 0.19/0.45 ![X0: $i] : (c3_1(X0) <=> (((X0 = $i!val!1) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!7)) & (~(X0 = $i!val!2))) | ((~(X0 = $i!val!4)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!7)) & (~(X0 = $i!val!2)))))). % 0.19/0.45 tff(formula63, axiom, % 0.19/0.45 ![X0: $i] : (c2_1(X0) <=> (X0 = $i!val!2))). % 0.19/0.45 tff(formula64, axiom, % 0.19/0.45 ![X0: $i, X1: $i] : (c2_2(X0, X1) <=> ((~((X1 = $i!val!2) & (k!210(X0) = $i!val!11))) & (~((X1 = $i!val!2) & (k!210(X0) = $i!val!10)))))). % 0.19/0.45 tff(formula65, axiom, % 0.19/0.45 ![X0: $i] : (c4_1(X0) <=> (X0 = $i!val!2))). % 0.19/0.45 tff(formula66, axiom, % 0.19/0.45 ![X0: $i, X1: $i] : (c1_2(X0, X1) <=> ((~((X1 = $i!val!2) & (k!210(X0) = $i!val!11))) & (~((~(X1 = $i!val!4)) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!7)) & (~(X1 = $i!val!2)) & (k!210(X0) = $i!val!3)))))). % 0.19/0.45 % SZS output end Model % 0.19/0.45 % E exiting %------------------------------------------------------------------------------