%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : PLA027+1 : TPTP v9.0.0. Bugfixed v2.5.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n013.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 05:22:52 AM UTC 2025 % Result : CounterSatisfiable 0.69s 0.89s % Output : Model 0.69s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : PLA027+1 : TPTP v9.0.0. Bugfixed v2.5.0. % 0.07/0.12 % Command : run_E %s %d THM % 0.12/0.33 % Computer : n013.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 02:22:08 EDT 2025 % 0.12/0.34 % CPUTime : % 0.69/0.89 % SZS status CounterSatisfiable % 0.69/0.89 % SZS output start Model % 0.69/0.89 tff(tptp_fun__i_val_1_type, type, ( % 0.69/0.89 tptp_fun__i_val_1: $i)). % 0.69/0.89 tff(block_2_type, type, ( % 0.69/0.89 block_2: $i)). % 0.69/0.89 tff(tptp_fun__i_val_2_type, type, ( % 0.69/0.89 tptp_fun__i_val_2: $i)). % 0.69/0.89 tff(block_3_type, type, ( % 0.69/0.89 block_3: $i)). % 0.69/0.89 tff(tptp_fun__i_val_3_type, type, ( % 0.69/0.89 tptp_fun__i_val_3: $i)). % 0.69/0.89 tff(block_4_type, type, ( % 0.69/0.89 block_4: $i)). % 0.69/0.89 tff(tptp_fun__i_val_0_type, type, ( % 0.69/0.89 tptp_fun__i_val_0: $i)). % 0.69/0.89 tff(block_1_type, type, ( % 0.69/0.89 block_1: $i)). % 0.69/0.89 tff(tptp_fun__i_val_5_type, type, ( % 0.69/0.89 tptp_fun__i_val_5: $i)). % 0.69/0.89 tff(time_0_type, type, ( % 0.69/0.89 time_0: $i)). % 0.69/0.89 tff(tptp_fun__i_val_4_type, type, ( % 0.69/0.89 tptp_fun__i_val_4: $i)). % 0.69/0.89 tff(table_type, type, ( % 0.69/0.89 table: $i)). % 0.69/0.89 tff(nonfixed_type, type, ( % 0.69/0.89 nonfixed: $i > $o)). % 0.69/0.89 tff(tptp_fun__i_val_6_type, type, ( % 0.69/0.89 tptp_fun__i_val_6: $i)). % 0.69/0.89 tff(k!917_type, type, ( % 0.69/0.89 k!917: $i > $i)). % 0.69/0.89 tff(tptp_fun__i_val_7_type, type, ( % 0.69/0.89 tptp_fun__i_val_7: $i)). % 0.69/0.89 tff(tptp_fun__i_val_9_type, type, ( % 0.69/0.89 tptp_fun__i_val_9: $i)). % 0.69/0.89 tff(tptp_fun__i_val_8_type, type, ( % 0.69/0.89 tptp_fun__i_val_8: $i)). % 0.69/0.89 tff(source_type, type, ( % 0.69/0.89 source: ( $i * $i ) > $o)). % 0.69/0.89 tff(fixed_type, type, ( % 0.69/0.89 fixed: $i > $o)). % 0.69/0.89 tff(goal_time_type, type, ( % 0.69/0.89 goal_time: $i > $o)). % 0.69/0.89 tff(time_type, type, ( % 0.69/0.89 time: $i > $o)). % 0.69/0.89 tff(tptp_fun__i_val_13_type, type, ( % 0.69/0.89 tptp_fun__i_val_13: $i)). % 0.69/0.89 tff(clear_type, type, ( % 0.69/0.89 clear: ( $i * $i ) > $o)). % 0.69/0.89 tff(tptp_fun__i_val_10_type, type, ( % 0.69/0.89 tptp_fun__i_val_10: $i)). % 0.69/0.89 tff(tptp_fun__i_val_15_type, type, ( % 0.69/0.89 tptp_fun__i_val_15: $i)). % 0.69/0.89 tff(tptp_fun__i_val_14_type, type, ( % 0.69/0.89 tptp_fun__i_val_14: $i)). % 0.69/0.89 tff(tptp_fun__i_val_16_type, type, ( % 0.69/0.89 tptp_fun__i_val_16: $i)). % 0.69/0.89 tff(tptp_fun__i_val_11_type, type, ( % 0.69/0.89 tptp_fun__i_val_11: $i)). % 0.69/0.89 tff(tptp_fun__i_val_12_type, type, ( % 0.69/0.89 tptp_fun__i_val_12: $i)). % 0.69/0.89 tff(a_block_type, type, ( % 0.69/0.89 a_block: $i > $o)). % 0.69/0.89 tff(on_type, type, ( % 0.69/0.89 on: ( $i * $i * $i ) > $o)). % 0.69/0.89 tff(neq_type, type, ( % 0.69/0.89 neq: ( $i * $i ) > $o)). % 0.69/0.89 tff(different_type, type, ( % 0.69/0.89 different: ( $i * $i ) > $o)). % 0.69/0.89 tff(destination_type, type, ( % 0.69/0.89 destination: ( $i * $i ) > $o)). % 0.69/0.89 tff(object_type, type, ( % 0.69/0.89 object: ( $i * $i ) > $o)). % 0.69/0.89 tff(s_type, type, ( % 0.69/0.89 s: $i > $i)). % 0.69/0.89 tff(formula1, axiom, % 0.69/0.89 block_2 = $i!val!1). % 0.69/0.89 tff(formula2, axiom, % 0.69/0.89 block_3 = $i!val!2). % 0.69/0.89 tff(formula3, axiom, % 0.69/0.89 block_4 = $i!val!3). % 0.69/0.89 tff(formula4, axiom, % 0.69/0.89 block_1 = $i!val!0). % 0.69/0.89 tff(formula5, axiom, % 0.69/0.89 time_0 = $i!val!5). % 0.69/0.89 tff(formula6, axiom, % 0.69/0.89 table = $i!val!4). % 0.69/0.89 tff(formula7, axiom, % 0.69/0.89 ![X0: $i] : (nonfixed(X0) <=> (~((X0 = $i!val!4) & (~(X0 = $i!val!0)))))). % 0.69/0.89 tff(formula8, axiom, % 0.69/0.89 ![X0: $i, X1: $i] : (source(X0, X1) <=> (((X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!917(X0) = $i!val!8)) | ((~(X1 = $i!val!2)) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!917(X0) = $i!val!9)) | ((X1 = $i!val!3) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!917(X0) = $i!val!7)) | ((~(X1 = $i!val!2)) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!917(X0) = $i!val!5)) | ((X1 = $i!val!2) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!917(X0) = $i!val!6))))). % 0.69/0.89 tff(formula9, axiom, % 0.69/0.89 ![X0: $i] : (fixed(X0) <=> ((X0 = $i!val!4) & (~(X0 = $i!val!0))))). % 0.69/0.89 tff(formula10, axiom, % 0.69/0.89 ![X0: $i] : (goal_time(X0) <=> $true)). % 0.69/0.89 tff(formula11, axiom, % 0.69/0.89 ![X0: $i] : (time(X0) <=> ((k!917(X0) = $i!val!9) | (k!917(X0) = $i!val!8) | (k!917(X0) = $i!val!7) | (k!917(X0) = $i!val!6) | (k!917(X0) = $i!val!5)))). % 0.69/0.89 tff(formula12, axiom, % 0.69/0.89 ![X0: $i, X1: $i] : (clear(X0, X1) <=> (((X1 = $i!val!3) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!917(X0) = $i!val!8)) | ((X1 = $i!val!2) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!917(X0) = $i!val!9)) | ((~(X1 = $i!val!2)) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!917(X0) = $i!val!7)) | ((X1 = $i!val!2) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!917(X0) = $i!val!8)) | ((~(X1 = $i!val!2)) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!917(X0) = $i!val!6)) | ((X1 = $i!val!0) & (k!917(X0) = $i!val!5)) | ((X1 = $i!val!0) & (k!917(X0) = $i!val!6)) | ((X1 = $i!val!0) & (k!917(X0) = $i!val!8)) | ((X1 = $i!val!0) & (k!917(X0) = $i!val!7)) | ((X1 = $i!val!2) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!917(X0) = $i!val!7)) | ((X1 = $i!val!0) & (k!917(X0) = $i!val!9)) | ((X1 = $i!val!2) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!917(X0) = $i!val!13)) | ((~(X1 = $i!val!2)) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!917(X0) = $i!val!13))))). % 0.69/0.89 tff(formula13, axiom, % 0.69/0.89 k!917($i!val!9) = $i!val!9). % 0.69/0.89 tff(formula14, axiom, % 0.69/0.89 k!917($i!val!10) = $i!val!10). % 0.69/0.89 tff(formula15, axiom, % 0.69/0.89 k!917($i!val!15) = $i!val!15). % 0.69/0.89 tff(formula16, axiom, % 0.69/0.89 k!917($i!val!14) = $i!val!14). % 0.69/0.89 tff(formula17, axiom, % 0.69/0.89 k!917($i!val!6) = $i!val!6). % 0.69/0.89 tff(formula18, axiom, % 0.69/0.89 k!917($i!val!5) = $i!val!5). % 0.69/0.89 tff(formula19, axiom, % 0.69/0.89 k!917($i!val!16) = $i!val!16). % 0.69/0.89 tff(formula20, axiom, % 0.69/0.89 k!917($i!val!8) = $i!val!8). % 0.69/0.89 tff(formula21, axiom, % 0.69/0.89 k!917($i!val!11) = $i!val!11). % 0.69/0.89 tff(formula22, axiom, % 0.69/0.89 k!917($i!val!7) = $i!val!7). % 0.69/0.89 tff(formula23, axiom, % 0.69/0.89 k!917($i!val!12) = $i!val!12). % 0.69/0.89 tff(formula24, axiom, % 0.69/0.89 ![X0: $i] : ((~((($i!val!9 = X0)) | (($i!val!10 = X0)) | (($i!val!15 = X0)) | (($i!val!14 = X0)) | (($i!val!6 = X0)) | (($i!val!5 = X0)) | (($i!val!16 = X0)) | (($i!val!8 = X0)) | (($i!val!11 = X0)) | (($i!val!7 = X0)) | (($i!val!12 = X0)))) => (k!917(X0) = $i!val!13))). % 0.69/0.89 tff(formula25, axiom, % 0.69/0.89 ![X0: $i] : (a_block(X0) <=> $true)). % 0.69/0.89 tff(formula26, axiom, % 0.69/0.89 ![X0: $i, X1: $i, X2: $i] : (on(X0, X1, X2) <=> (((~(X2 = $i!val!2)) & (~(X2 = $i!val!3)) & (~(X2 = $i!val!4)) & (~(X2 = $i!val!0)) & (X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!917(X0) = $i!val!13)) | ((X2 = $i!val!0) & (X1 = $i!val!3) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!917(X0) = $i!val!9)) | ((X2 = $i!val!2) & (~(X2 = $i!val!3)) & (~(X2 = $i!val!4)) & (~(X2 = $i!val!0)) & (X1 = $i!val!3) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!917(X0) = $i!val!5)) | ((X2 = $i!val!3) & (~(X2 = $i!val!4)) & (~(X2 = $i!val!0)) & (X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!917(X0) = $i!val!5)) | ((X2 = $i!val!3) & (~(X2 = $i!val!4)) & (~(X2 = $i!val!0)) & (X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!917(X0) = $i!val!8)) | ((X2 = $i!val!0) & (~(X1 = $i!val!2)) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!917(X0) = $i!val!5)) | ((~(X2 = $i!val!2)) & (~(X2 = $i!val!3)) & (~(X2 = $i!val!4)) & (~(X2 = $i!val!0)) & (X1 = $i!val!2) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!917(X0) = $i!val!5)) | ((~(X2 = $i!val!2)) & (~(X2 = $i!val!3)) & (~(X2 = $i!val!4)) & (~(X2 = $i!val!0)) & (X1 = $i!val!2) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!917(X0) = $i!val!6)) | ((X2 = $i!val!3) & (~(X2 = $i!val!4)) & (~(X2 = $i!val!0)) & (X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!917(X0) = $i!val!9)) | ((~(X2 = $i!val!2)) & (~(X2 = $i!val!3)) & (~(X2 = $i!val!4)) & (~(X2 = $i!val!0)) & (X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!917(X0) = $i!val!7)) | ((~(X2 = $i!val!2)) & (~(X2 = $i!val!3)) & (~(X2 = $i!val!4)) & (~(X2 = $i!val!0)) & (X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!917(X0) = $i!val!9)) | ((X2 = $i!val!0) & (X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!917(X0) = $i!val!6)) | ((~(X2 = $i!val!2)) & (~(X2 = $i!val!3)) & (~(X2 = $i!val!4)) & (~(X2 = $i!val!0)) & (X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!917(X0) = $i!val!8)) | ((X2 = $i!val!0) & (X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!917(X0) = $i!val!7)) | ((X2 = $i!val!2) & (~(X2 = $i!val!3)) & (~(X2 = $i!val!4)) & (~(X2 = $i!val!0)) & (X1 = $i!val!3) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!917(X0) = $i!val!6)) | ((X2 = $i!val!0) & (X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!917(X0) = $i!val!8)) | ((X2 = $i!val!2) & (~(X2 = $i!val!3)) & (~(X2 = $i!val!4)) & (~(X2 = $i!val!0)) & (~(X1 = $i!val!2)) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!917(X0) = $i!val!8)) | ((X2 = $i!val!2) & (~(X2 = $i!val!3)) & (~(X2 = $i!val!4)) & (~(X2 = $i!val!0)) & (~(X1 = $i!val!2)) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!917(X0) = $i!val!9)) | ((X2 = $i!val!0) & (X1 = $i!val!3) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!917(X0) = $i!val!13)) | ((X2 = $i!val!2) & (~(X2 = $i!val!3)) & (~(X2 = $i!val!4)) & (~(X2 = $i!val!0)) & (X1 = $i!val!0) & (k!917(X0) = $i!val!13)) | ((X2 = $i!val!2) & (~(X2 = $i!val!3)) & (~(X2 = $i!val!4)) & (~(X2 = $i!val!0)) & (X1 = $i!val!3) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!917(X0) = $i!val!7)) | ((X2 = $i!val!3) & (~(X2 = $i!val!4)) & (~(X2 = $i!val!0)) & (X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!917(X0) = $i!val!7)) | ((X2 = $i!val!3) & (~(X2 = $i!val!4)) & (~(X2 = $i!val!0)) & (X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!917(X0) = $i!val!6)) | ((X2 = $i!val!3) & (~(X2 = $i!val!4)) & (~(X2 = $i!val!0)) & (X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!917(X0) = $i!val!13))))). % 0.69/0.89 tff(formula27, axiom, % 0.69/0.89 ![X0: $i, X1: $i] : (neq(X0, X1) <=> ((~((X1 = $i!val!4) & (~(X1 = $i!val!0)) & (X0 = $i!val!4) & (~(X0 = $i!val!0)))) & (~((X1 = $i!val!3) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (X0 = $i!val!3) & (~(X0 = $i!val!4)) & (~(X0 = $i!val!0)))) & (~((X1 = $i!val!2) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (X0 = $i!val!2) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!4)) & (~(X0 = $i!val!0)))) & (~((X1 = $i!val!0) & (X0 = $i!val!0))) & (~((~(X1 = $i!val!2)) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (~(X0 = $i!val!2)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!4)) & (~(X0 = $i!val!0))))))). % 0.69/0.89 tff(formula28, axiom, % 0.69/0.89 ![X0: $i, X1: $i] : (different(X0, X1) <=> ((~((X1 = $i!val!4) & (~(X1 = $i!val!0)) & (X0 = $i!val!4) & (~(X0 = $i!val!0)))) & (~((X1 = $i!val!3) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (X0 = $i!val!3) & (~(X0 = $i!val!4)) & (~(X0 = $i!val!0)))) & (~((X1 = $i!val!2) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (X0 = $i!val!2) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!4)) & (~(X0 = $i!val!0)))) & (~((X1 = $i!val!0) & (X0 = $i!val!0))) & (~((~(X1 = $i!val!2)) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (~(X0 = $i!val!2)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!4)) & (~(X0 = $i!val!0))))))). % 0.69/0.89 tff(formula29, axiom, % 0.69/0.89 ![X0: $i, X1: $i] : (destination(X0, X1) <=> (((X1 = $i!val!3) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!917(X0) = $i!val!8)) | ((~(X1 = $i!val!2)) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!917(X0) = $i!val!7)) | ((X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!917(X0) = $i!val!5)) | ((X1 = $i!val!0) & (k!917(X0) = $i!val!9)) | ((X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!917(X0) = $i!val!6))))). % 0.69/0.89 tff(formula30, axiom, % 0.69/0.89 ![X0: $i, X1: $i] : (object(X0, X1) <=> (((X1 = $i!val!2) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!917(X0) = $i!val!9)) | ((~(X1 = $i!val!2)) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!917(X0) = $i!val!6)) | ((X1 = $i!val!0) & (k!917(X0) = $i!val!5)) | ((X1 = $i!val!0) & (k!917(X0) = $i!val!8)) | ((X1 = $i!val!2) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!917(X0) = $i!val!7))))). % 0.69/0.89 tff(formula31, axiom, % 0.69/0.89 ![X0: $i] : (s(X0) = ite_t((k!917(X0) = $i!val!15), $i!val!16, ite_t((k!917(X0) = $i!val!14), $i!val!15, ite_t((k!917(X0) = $i!val!13), $i!val!14, ite_t((k!917(X0) = $i!val!9), $i!val!13, ite_t((k!917(X0) = $i!val!11), $i!val!12, ite_t((k!917(X0) = $i!val!10), $i!val!11, ite_t((k!917(X0) = $i!val!8), $i!val!9, ite_t((k!917(X0) = $i!val!7), $i!val!8, ite_t((k!917(X0) = $i!val!6), $i!val!7, $i!val!6))))))))))). % 0.69/0.89 % SZS output end Model % 0.69/0.89 % E exiting %------------------------------------------------------------------------------