%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : SYN531-1 : TPTP v9.0.0. Released v2.1.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n014.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 : Satisfiable 0.11s 0.39s % Output : Model 0.11s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.11 % Problem : SYN531-1 : TPTP v9.0.0. Released v2.1.0. % 0.11/0.11 % Command : run_E %s %d THM % 0.11/0.32 % Computer : n014.cluster.edu % 0.11/0.32 % Model : x86_64 x86_64 % 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.32 % Memory : 8042.1875MB % 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.32 % CPULimit : 300 % 0.11/0.32 % WCLimit : 300 % 0.11/0.32 % DateTime : Fri Jun 20 12:37:54 EDT 2025 % 0.11/0.33 % CPUTime : % 0.11/0.39 % SZS status Satisfiable % 0.11/0.39 % SZS output start Model % 0.11/0.39 tff(tptp_fun__i_val_4_type, type, ( % 0.11/0.39 tptp_fun__i_val_4: $i)). % 0.11/0.39 tff(a401_type, type, ( % 0.11/0.39 a401: $i)). % 0.11/0.39 tff(tptp_fun__i_val_7_type, type, ( % 0.11/0.39 tptp_fun__i_val_7: $i)). % 0.11/0.39 tff(a403_type, type, ( % 0.11/0.39 a403: $i)). % 0.11/0.39 tff(ssSkC3_type, type, ( % 0.11/0.39 ssSkC3: $o)). % 0.11/0.39 tff(ssSkC4_type, type, ( % 0.11/0.39 ssSkC4: $o)). % 0.11/0.39 tff(tptp_fun__i_val_6_type, type, ( % 0.11/0.39 tptp_fun__i_val_6: $i)). % 0.11/0.39 tff(a394_type, type, ( % 0.11/0.39 a394: $i)). % 0.11/0.39 tff(c2_0_type, type, ( % 0.11/0.39 c2_0: $o)). % 0.11/0.39 tff(tptp_fun__i_val_5_type, type, ( % 0.11/0.39 tptp_fun__i_val_5: $i)). % 0.11/0.39 tff(a395_type, type, ( % 0.11/0.39 a395: $i)). % 0.11/0.39 tff(tptp_fun__i_val_11_type, type, ( % 0.11/0.39 tptp_fun__i_val_11: $i)). % 0.11/0.39 tff(a388_type, type, ( % 0.11/0.39 a388: $i)). % 0.11/0.39 tff(tptp_fun__i_val_1_type, type, ( % 0.11/0.39 tptp_fun__i_val_1: $i)). % 0.11/0.39 tff(a404_type, type, ( % 0.11/0.39 a404: $i)). % 0.11/0.39 tff(a391_type, type, ( % 0.11/0.39 a391: $i)). % 0.11/0.39 tff(ssSkC1_type, type, ( % 0.11/0.39 ssSkC1: $o)). % 0.11/0.39 tff(tptp_fun__i_val_3_type, type, ( % 0.11/0.39 tptp_fun__i_val_3: $i)). % 0.11/0.39 tff(a409_type, type, ( % 0.11/0.39 a409: $i)). % 0.11/0.39 tff(a406_type, type, ( % 0.11/0.39 a406: $i)). % 0.11/0.39 tff(a405_type, type, ( % 0.11/0.39 a405: $i)). % 0.11/0.39 tff(ssSkC0_type, type, ( % 0.11/0.39 ssSkC0: $o)). % 0.11/0.39 tff(ndr1_0_type, type, ( % 0.11/0.39 ndr1_0: $o)). % 0.11/0.39 tff(c3_0_type, type, ( % 0.11/0.39 c3_0: $o)). % 0.11/0.39 tff(tptp_fun__i_val_2_type, type, ( % 0.11/0.39 tptp_fun__i_val_2: $i)). % 0.11/0.39 tff(a387_type, type, ( % 0.11/0.39 a387: $i)). % 0.11/0.39 tff(tptp_fun__i_val_10_type, type, ( % 0.11/0.39 tptp_fun__i_val_10: $i)). % 0.11/0.39 tff(a397_type, type, ( % 0.11/0.39 a397: $i)). % 0.11/0.39 tff(a393_type, type, ( % 0.11/0.39 a393: $i)). % 0.11/0.39 tff(c1_0_type, type, ( % 0.11/0.39 c1_0: $o)). % 0.11/0.39 tff(a390_type, type, ( % 0.11/0.39 a390: $i)). % 0.11/0.39 tff(a408_type, type, ( % 0.11/0.39 a408: $i)). % 0.11/0.39 tff(a402_type, type, ( % 0.11/0.39 a402: $i)). % 0.11/0.39 tff(a407_type, type, ( % 0.11/0.39 a407: $i)). % 0.11/0.39 tff(tptp_fun__i_val_12_type, type, ( % 0.11/0.39 tptp_fun__i_val_12: $i)). % 0.11/0.39 tff(a389_type, type, ( % 0.11/0.39 a389: $i)). % 0.11/0.39 tff(a410_type, type, ( % 0.11/0.39 a410: $i)). % 0.11/0.39 tff(c5_0_type, type, ( % 0.11/0.39 c5_0: $o)). % 0.11/0.39 tff(tptp_fun__i_val_0_type, type, ( % 0.11/0.39 tptp_fun__i_val_0: $i)). % 0.11/0.39 tff(a400_type, type, ( % 0.11/0.39 a400: $i)). % 0.11/0.39 tff(tptp_fun__i_val_8_type, type, ( % 0.11/0.39 tptp_fun__i_val_8: $i)). % 0.11/0.39 tff(a399_type, type, ( % 0.11/0.39 a399: $i)). % 0.11/0.39 tff(a398_type, type, ( % 0.11/0.39 a398: $i)). % 0.11/0.39 tff(tptp_fun__i_val_9_type, type, ( % 0.11/0.39 tptp_fun__i_val_9: $i)). % 0.11/0.39 tff(a396_type, type, ( % 0.11/0.39 a396: $i)). % 0.11/0.39 tff(ssSkC2_type, type, ( % 0.11/0.39 ssSkC2: $o)). % 0.11/0.39 tff(c4_0_type, type, ( % 0.11/0.39 c4_0: $o)). % 0.11/0.39 tff(a392_type, type, ( % 0.11/0.39 a392: $i)). % 0.11/0.39 tff(ndr1_1_type, type, ( % 0.11/0.39 ndr1_1: $i > $o)). % 0.11/0.39 tff(c3_2_type, type, ( % 0.11/0.39 c3_2: ( $i * $i ) > $o)). % 0.11/0.39 tff(c4_2_type, type, ( % 0.11/0.39 c4_2: ( $i * $i ) > $o)). % 0.11/0.39 tff(c5_1_type, type, ( % 0.11/0.39 c5_1: $i > $o)). % 0.11/0.39 tff(ssSkP0_type, type, ( % 0.11/0.39 ssSkP0: $i > $o)). % 0.11/0.39 tff(c5_2_type, type, ( % 0.11/0.39 c5_2: ( $i * $i ) > $o)). % 0.11/0.39 tff(c3_1_type, type, ( % 0.11/0.39 c3_1: $i > $o)). % 0.11/0.39 tff(c2_1_type, type, ( % 0.11/0.39 c2_1: $i > $o)). % 0.11/0.39 tff(c2_2_type, type, ( % 0.11/0.39 c2_2: ( $i * $i ) > $o)). % 0.11/0.39 tff(c1_2_type, type, ( % 0.11/0.39 c1_2: ( $i * $i ) > $o)). % 0.11/0.39 tff(c4_1_type, type, ( % 0.11/0.39 c4_1: $i > $o)). % 0.11/0.39 tff(c1_1_type, type, ( % 0.11/0.39 c1_1: $i > $o)). % 0.11/0.39 tff(formula1, axiom, % 0.11/0.39 a401 = $i!val!4). % 0.11/0.39 tff(formula2, axiom, % 0.11/0.39 a403 = $i!val!7). % 0.11/0.39 tff(formula3, axiom, % 0.11/0.39 ssSkC3 <=> $true). % 0.11/0.39 tff(formula4, axiom, % 0.11/0.39 ssSkC4 <=> $false). % 0.11/0.39 tff(formula5, axiom, % 0.11/0.39 a394 = $i!val!6). % 0.11/0.39 tff(formula6, axiom, % 0.11/0.39 c2_0 <=> $false). % 0.11/0.39 tff(formula7, axiom, % 0.11/0.39 a395 = $i!val!5). % 0.11/0.39 tff(formula8, axiom, % 0.11/0.39 a388 = $i!val!11). % 0.11/0.39 tff(formula9, axiom, % 0.11/0.39 a404 = $i!val!1). % 0.11/0.39 tff(formula10, axiom, % 0.11/0.39 a391 = $i!val!1). % 0.11/0.39 tff(formula11, axiom, % 0.11/0.39 ssSkC1 <=> $false). % 0.11/0.39 tff(formula12, axiom, % 0.11/0.39 a409 = $i!val!3). % 0.11/0.39 tff(formula13, axiom, % 0.11/0.39 a406 = $i!val!7). % 0.11/0.39 tff(formula14, axiom, % 0.11/0.39 a405 = $i!val!3). % 0.11/0.39 tff(formula15, axiom, % 0.11/0.39 ssSkC0 <=> $true). % 0.11/0.39 tff(formula16, axiom, % 0.11/0.39 ndr1_0 <=> $true). % 0.11/0.39 tff(formula17, axiom, % 0.11/0.39 c3_0 <=> $false). % 0.11/0.39 tff(formula18, axiom, % 0.11/0.39 a387 = $i!val!2). % 0.11/0.39 tff(formula19, axiom, % 0.11/0.39 a397 = $i!val!10). % 0.11/0.39 tff(formula20, axiom, % 0.11/0.39 a393 = $i!val!2). % 0.11/0.39 tff(formula21, axiom, % 0.11/0.39 c1_0 <=> $false). % 0.11/0.39 tff(formula22, axiom, % 0.11/0.39 a390 = $i!val!3). % 0.11/0.39 tff(formula23, axiom, % 0.11/0.39 a408 = $i!val!3). % 0.11/0.39 tff(formula24, axiom, % 0.11/0.39 a402 = $i!val!7). % 0.11/0.39 tff(formula25, axiom, % 0.11/0.39 a407 = $i!val!1). % 0.11/0.39 tff(formula26, axiom, % 0.11/0.39 a389 = $i!val!12). % 0.11/0.39 tff(formula27, axiom, % 0.11/0.39 a410 = $i!val!2). % 0.11/0.39 tff(formula28, axiom, % 0.11/0.39 c5_0 <=> $false). % 0.11/0.39 tff(formula29, axiom, % 0.11/0.39 a400 = $i!val!0). % 0.11/0.39 tff(formula30, axiom, % 0.11/0.39 a399 = $i!val!8). % 0.11/0.39 tff(formula31, axiom, % 0.11/0.39 a398 = $i!val!7). % 0.11/0.39 tff(formula32, axiom, % 0.11/0.39 a396 = $i!val!9). % 0.11/0.39 tff(formula33, axiom, % 0.11/0.39 ssSkC2 <=> $false). % 0.11/0.39 tff(formula34, axiom, % 0.11/0.39 c4_0 <=> $true). % 0.11/0.39 tff(formula35, axiom, % 0.11/0.39 a392 = $i!val!1). % 0.11/0.39 tff(formula36, axiom, % 0.11/0.39 ![X0: $i] : (ndr1_1(X0) <=> (X0 = $i!val!1))). % 0.11/0.39 tff(formula37, axiom, % 0.11/0.39 ![X0: $i, X1: $i] : (c3_2(X0, X1) <=> $false)). % 0.11/0.39 tff(formula38, axiom, % 0.11/0.39 ![X0: $i, X1: $i] : (c4_2(X0, X1) <=> $false)). % 0.11/0.39 tff(formula39, axiom, % 0.11/0.39 ![X0: $i] : (c5_1(X0) <=> (~((X0 = $i!val!8) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!1)))))). % 0.11/0.39 tff(formula40, axiom, % 0.11/0.39 ![X0: $i] : (ssSkP0(X0) <=> $true)). % 0.11/0.39 tff(formula41, axiom, % 0.11/0.39 ![X0: $i, X1: $i] : (c5_2(X0, X1) <=> $false)). % 0.11/0.39 tff(formula42, axiom, % 0.11/0.39 ![X0: $i] : (c3_1(X0) <=> (X0 = $i!val!1))). % 0.11/0.39 tff(formula43, axiom, % 0.11/0.39 ![X0: $i] : (c2_1(X0) <=> $false)). % 0.11/0.39 tff(formula44, axiom, % 0.11/0.39 ![X0: $i, X1: $i] : (c2_2(X0, X1) <=> $false)). % 0.11/0.39 tff(formula45, axiom, % 0.11/0.39 ![X0: $i, X1: $i] : (c1_2(X0, X1) <=> ((X1 = $i!val!1) & (X0 = $i!val!12) & (~(X0 = $i!val!11)) & (~(X0 = $i!val!10)) & (~(X0 = $i!val!7)) & (~(X0 = $i!val!6))))). % 0.11/0.39 tff(formula46, axiom, % 0.11/0.39 ![X0: $i] : (c4_1(X0) <=> $true)). % 0.11/0.39 tff(formula47, axiom, % 0.11/0.39 ![X0: $i] : (c1_1(X0) <=> (X0 = $i!val!1))). % 0.11/0.39 % SZS output end Model % 0.11/0.40 % E exiting %------------------------------------------------------------------------------