%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : PLA028+1 : TPTP v9.0.0. Bugfixed v2.5.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n004.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 0.20s 0.52s % Output : Model 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : PLA028+1 : TPTP v9.0.0. Bugfixed v2.5.0. % 0.06/0.12 % Command : run_E %s %d THM % 0.12/0.33 % Computer : n004.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 02:21:38 EDT 2025 % 0.12/0.33 % CPUTime : % 0.20/0.52 % SZS status CounterSatisfiable % 0.20/0.52 % SZS output start Model % 0.20/0.52 tff(tptp_fun__i_val_1_type, type, ( % 0.20/0.52 tptp_fun__i_val_1: $i)). % 0.20/0.52 tff(block_2_type, type, ( % 0.20/0.52 block_2: $i)). % 0.20/0.52 tff(tptp_fun__i_val_3_type, type, ( % 0.20/0.52 tptp_fun__i_val_3: $i)). % 0.20/0.52 tff(time_0_type, type, ( % 0.20/0.52 time_0: $i)). % 0.20/0.52 tff(tptp_fun__i_val_0_type, type, ( % 0.20/0.52 tptp_fun__i_val_0: $i)). % 0.20/0.52 tff(block_1_type, type, ( % 0.20/0.52 block_1: $i)). % 0.20/0.52 tff(tptp_fun__i_val_2_type, type, ( % 0.20/0.52 tptp_fun__i_val_2: $i)). % 0.20/0.52 tff(table_type, type, ( % 0.20/0.52 table: $i)). % 0.20/0.52 tff(nonfixed_type, type, ( % 0.20/0.52 nonfixed: $i > $o)). % 0.20/0.52 tff(tptp_fun__i_val_8_type, type, ( % 0.20/0.52 tptp_fun__i_val_8: $i)). % 0.20/0.52 tff(tptp_fun__i_val_6_type, type, ( % 0.20/0.52 tptp_fun__i_val_6: $i)). % 0.20/0.52 tff(tptp_fun__i_val_7_type, type, ( % 0.20/0.52 tptp_fun__i_val_7: $i)). % 0.20/0.52 tff(tptp_fun__i_val_5_type, type, ( % 0.20/0.52 tptp_fun__i_val_5: $i)). % 0.20/0.52 tff(source_type, type, ( % 0.20/0.52 source: ( $i * $i ) > $o)). % 0.20/0.52 tff(goal_time_type, type, ( % 0.20/0.52 goal_time: $i > $o)). % 0.20/0.52 tff(fixed_type, type, ( % 0.20/0.52 fixed: $i > $o)). % 0.20/0.52 tff(time_type, type, ( % 0.20/0.52 time: $i > $o)). % 0.20/0.52 tff(clear_type, type, ( % 0.20/0.52 clear: ( $i * $i ) > $o)). % 0.20/0.52 tff(a_block_type, type, ( % 0.20/0.52 a_block: $i > $o)). % 0.20/0.52 tff(on_type, type, ( % 0.20/0.52 on: ( $i * $i * $i ) > $o)). % 0.20/0.52 tff(neq_type, type, ( % 0.20/0.52 neq: ( $i * $i ) > $o)). % 0.20/0.52 tff(different_type, type, ( % 0.20/0.52 different: ( $i * $i ) > $o)). % 0.20/0.52 tff(destination_type, type, ( % 0.20/0.52 destination: ( $i * $i ) > $o)). % 0.20/0.52 tff(object_type, type, ( % 0.20/0.52 object: ( $i * $i ) > $o)). % 0.20/0.52 tff(tptp_fun__i_val_4_type, type, ( % 0.20/0.52 tptp_fun__i_val_4: $i)). % 0.20/0.52 tff(s_type, type, ( % 0.20/0.52 s: $i > $i)). % 0.20/0.52 tff(formula1, axiom, % 0.20/0.52 block_2 = $i!val!1). % 0.20/0.52 tff(formula2, axiom, % 0.20/0.52 time_0 = $i!val!3). % 0.20/0.52 tff(formula3, axiom, % 0.20/0.52 block_1 = $i!val!0). % 0.20/0.52 tff(formula4, axiom, % 0.20/0.52 table = $i!val!2). % 0.20/0.52 tff(formula5, axiom, % 0.20/0.52 ![X0: $i] : (nonfixed(X0) <=> (~((X0 = $i!val!2) & (~(X0 = $i!val!0)))))). % 0.20/0.52 tff(formula6, axiom, % 0.20/0.52 ![X0: $i, X1: $i] : (source(X0, X1) <=> (((X1 = $i!val!0) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!7)) & (~(X0 = $i!val!6)) & (~(X0 = $i!val!8))) | ((X1 = $i!val!2) & (~(X1 = $i!val!0)) & (X0 = $i!val!3) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!7)) & (~(X0 = $i!val!6)) & (~(X0 = $i!val!8)))))). % 0.20/0.52 tff(formula7, axiom, % 0.20/0.52 ![X0: $i] : (goal_time(X0) <=> $true)). % 0.20/0.52 tff(formula8, axiom, % 0.20/0.52 ![X0: $i] : (fixed(X0) <=> ((X0 = $i!val!2) & (~(X0 = $i!val!0))))). % 0.20/0.52 tff(formula9, axiom, % 0.20/0.52 ![X0: $i] : (time(X0) <=> (((~(X0 = $i!val!3)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!7)) & (~(X0 = $i!val!6)) & (~(X0 = $i!val!8))) | ((X0 = $i!val!3) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!7)) & (~(X0 = $i!val!6)) & (~(X0 = $i!val!8)))))). % 0.20/0.52 tff(formula10, axiom, % 0.20/0.52 ![X0: $i, X1: $i] : (clear(X0, X1) <=> ((~((X1 = $i!val!0) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!7)) & (~(X0 = $i!val!6)) & (~(X0 = $i!val!8)))) & (~((X1 = $i!val!0) & (X0 = $i!val!7) & (~(X0 = $i!val!6)) & (~(X0 = $i!val!8)))) & (~((X1 = $i!val!0) & (X0 = $i!val!5) & (~(X0 = $i!val!7)) & (~(X0 = $i!val!6)) & (~(X0 = $i!val!8))))))). % 0.20/0.52 tff(formula11, axiom, % 0.20/0.52 ![X0: $i] : (a_block(X0) <=> $true)). % 0.20/0.52 tff(formula12, axiom, % 0.20/0.52 ![X0: $i, X1: $i, X2: $i] : (on(X0, X1, X2) <=> (((~(X2 = $i!val!2)) & (~(X2 = $i!val!0)) & (X1 = $i!val!2) & (~(X1 = $i!val!0)) & (X0 = $i!val!6) & (~(X0 = $i!val!8))) | ((X2 = $i!val!0) & (X1 = $i!val!2) & (~(X1 = $i!val!0)) & (X0 = $i!val!6) & (~(X0 = $i!val!8))) | ((X2 = $i!val!0) & (X1 = $i!val!2) & (~(X1 = $i!val!0)) & (X0 = $i!val!3) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!7)) & (~(X0 = $i!val!6)) & (~(X0 = $i!val!8))) | ((~(X2 = $i!val!2)) & (~(X2 = $i!val!0)) & (X1 = $i!val!2) & (~(X1 = $i!val!0)) & (X0 = $i!val!3) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!7)) & (~(X0 = $i!val!6)) & (~(X0 = $i!val!8))) | ((~(X2 = $i!val!2)) & (~(X2 = $i!val!0)) & (X1 = $i!val!0) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!7)) & (~(X0 = $i!val!6)) & (~(X0 = $i!val!8))) | ((X2 = $i!val!0) & (X1 = $i!val!2) & (~(X1 = $i!val!0)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!7)) & (~(X0 = $i!val!6)) & (~(X0 = $i!val!8)))))). % 0.20/0.52 tff(formula13, axiom, % 0.20/0.52 ![X0: $i, X1: $i] : (neq(X0, X1) <=> ((~((~(X1 = $i!val!2)) & (~(X1 = $i!val!0)) & (~(X0 = $i!val!2)) & (~(X0 = $i!val!0)))) & (~((X1 = $i!val!0) & (X0 = $i!val!0))) & (~((X1 = $i!val!2) & (~(X1 = $i!val!0)) & (X0 = $i!val!2) & (~(X0 = $i!val!0))))))). % 0.20/0.52 tff(formula14, axiom, % 0.20/0.52 ![X0: $i, X1: $i] : (different(X0, X1) <=> ((~((X1 = $i!val!0) & (X0 = $i!val!0))) & (~((~(X1 = $i!val!2)) & (~(X1 = $i!val!0)) & (~(X0 = $i!val!2)) & (~(X0 = $i!val!0)))) & (~((X1 = $i!val!2) & (~(X1 = $i!val!0)) & (X0 = $i!val!2) & (~(X0 = $i!val!0))))))). % 0.20/0.52 tff(formula15, axiom, % 0.20/0.52 ![X0: $i, X1: $i] : (destination(X0, X1) <=> (((X1 = $i!val!2) & (~(X1 = $i!val!0)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!7)) & (~(X0 = $i!val!6)) & (~(X0 = $i!val!8))) | ((X1 = $i!val!0) & (X0 = $i!val!3) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!7)) & (~(X0 = $i!val!6)) & (~(X0 = $i!val!8)))))). % 0.20/0.52 tff(formula16, axiom, % 0.20/0.52 ![X0: $i, X1: $i] : (object(X0, X1) <=> (((~(X1 = $i!val!2)) & (~(X1 = $i!val!0)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!7)) & (~(X0 = $i!val!6)) & (~(X0 = $i!val!8))) | ((~(X1 = $i!val!2)) & (~(X1 = $i!val!0)) & (X0 = $i!val!3) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!7)) & (~(X0 = $i!val!6)) & (~(X0 = $i!val!8)))))). % 0.20/0.52 tff(formula17, axiom, % 0.20/0.52 ![X0: $i] : (s(X0) = ite_t(((X0 = $i!val!7) & (~(X0 = $i!val!6)) & (~(X0 = $i!val!8))), $i!val!8, ite_t(((X0 = $i!val!5) & (~(X0 = $i!val!7)) & (~(X0 = $i!val!6)) & (~(X0 = $i!val!8))), $i!val!7, ite_t(((~(X0 = $i!val!3)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!7)) & (~(X0 = $i!val!6)) & (~(X0 = $i!val!8))), $i!val!6, $i!val!4))))). % 0.20/0.52 % SZS output end Model % 0.20/0.52 % E exiting %------------------------------------------------------------------------------