TSTP Solution File: HWV009-1 by ConnectPP---0.2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ConnectPP---0.2.2
% Problem  : HWV009-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s

% Computer : n003.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 : Wed Mar  6 09:05:16 EST 2024

% Result   : Unsatisfiable 6.84s 7.00s
% Output   : Proof 6.84s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : HWV009-1 : TPTP v8.1.2. Released v2.5.0.
% 0.11/0.12  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.33  % Computer : n003.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 : Mon Mar  4 11:57:23 EST 2024
% 0.12/0.33  % CPUTime  : 
% 6.84/7.00  % SZS status Unsatisfiable for theBenchmark
% 6.84/7.00  % SZS output start Proof for theBenchmark
% 6.84/7.00  
% 6.84/7.00  % Problem matrix:
% 6.84/7.00  cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 6.84/7.00  cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 6.84/7.00  cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 6.84/7.00  cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( plus(__eqx_0, __eqx_1) = plus(__eqy_0, __eqy_1)) )).
% 6.84/7.00  cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( minus(__eqx_0, __eqx_1) = minus(__eqy_0, __eqy_1)) )).
% 6.84/7.00  cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( y_27(__eqx_0) = y_27(__eqy_0)) )).
% 6.84/7.00  cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( level(__eqx_0) = level(__eqy_0)) )).
% 6.84/7.00  cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( int_level(__eqx_0) = int_level(__eqy_0)) )).
% 6.84/7.00  cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( wr_level(__eqx_0) = wr_level(__eqy_0)) )).
% 6.84/7.00  cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( rd_level(__eqx_0) = rd_level(__eqy_0)) )).
% 6.84/7.00  cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~gt(__eqx_0, __eqx_1) | gt(__eqy_0, __eqy_1) )).
% 6.84/7.00  cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~def_10(__eqx_0, __eqx_1) | def_10(__eqy_0, __eqy_1) )).
% 6.84/7.00  cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ~p_Full(__eqx_0) | p_Full(__eqy_0) )).
% 6.84/7.00  cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ~p_Empty(__eqx_0) | p_Empty(__eqy_0) )).
% 6.84/7.00  cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ~p_Reset(__eqx_0) | p_Reset(__eqy_0) )).
% 6.84/7.00  cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ~p_Wr_error(__eqx_0) | p_Wr_error(__eqy_0) )).
% 6.84/7.00  cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ~p_Rd_error(__eqx_0) | p_Rd_error(__eqy_0) )).
% 6.84/7.00  cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~p_Mem(__eqx_0, __eqx_1, __eqx_2) | p_Mem(__eqy_0, __eqy_1, __eqy_2) )).
% 6.84/7.00  cnf(matrix-18, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~p_Data_out(__eqx_0, __eqx_1) | p_Data_out(__eqy_0, __eqy_1) )).
% 6.84/7.00  cnf(matrix-19, plain, ( ( __eqx_0 != __eqy_0) | ~p_Wr(__eqx_0) | p_Wr(__eqy_0) )).
% 6.84/7.00  cnf(matrix-20, plain, ( ( __eqx_0 != __eqy_0) | ~p_Rd(__eqx_0) | p_Rd(__eqy_0) )).
% 6.84/7.00  cnf(matrix-21, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~p_Data_in(__eqx_0, __eqx_1) | p_Data_in(__eqy_0, __eqy_1) )).
% 6.84/7.00  cnf(matrix-22, plain, ( ( plus(X_0, n1) != n0) )).
% 6.84/7.00  cnf(matrix-23, plain, ( gt(plus(X_1, n1), n0) )).
% 6.84/7.00  cnf(matrix-24, plain, ( ~gt(X_2, n0) | gt(X_2, minus(X_2, n1)) )).
% 6.84/7.00  cnf(matrix-25, plain, ( ( minus(X_3, Y_4) != Z_5) | ( plus(Z_5, Y_4) = X_3) | def_10(Y_4, X_3) )).
% 6.84/7.00  cnf(matrix-26, plain, ( ( minus(X_3, Y_4) = Z_5) | ( plus(Z_5, Y_4) != X_3) | def_10(Y_4, X_3) )).
% 6.84/7.00  cnf(matrix-27, plain, ( ~def_10(Y_4, X_3) | ~gt(X_3, Y_4) )).
% 6.84/7.00  cnf(matrix-28, plain, ( ~def_10(Y_4, X_3) | ( X_3 != Y_4) )).
% 6.84/7.00  cnf(matrix-29, plain, ( ~gt(Y_12, X_11) | gt(plus(Y_12, n1), plus(X_11, n1)) )).
% 6.84/7.00  cnf(matrix-30, plain, ( gt(Y_12, X_11) | ~gt(plus(Y_12, n1), plus(X_11, n1)) )).
% 6.84/7.00  cnf(matrix-31, plain, ( gt(X_13, Y_14) | ~gt(plus(X_13, n1), Y_14) | ( Y_14 = X_13) )).
% 6.84/7.00  cnf(matrix-32, plain, ( ~gt(plus(X_15, n1), Y_16) | gt(X_15, Y_16) | ( X_15 = Y_16) )).
% 6.84/7.00  cnf(matrix-33, plain, ( gt(Y_18, X_17) | ( X_17 = Y_18) | gt(X_17, Y_18) )).
% 6.84/7.00  cnf(matrix-34, plain, ( ~gt(Z_21, Y_20) | gt(Z_21, X_19) | ~gt(Y_20, X_19) )).
% 6.84/7.00  cnf(matrix-35, plain, ( ~gt(Y_24, X_23) | ( plus(X_23, n1) = Y_24) | gt(Y_24, plus(X_23, n1)) )).
% 6.84/7.00  cnf(matrix-36, plain, ( ( X_25 = n0) | gt(X_25, n0) )).
% 6.84/7.00  cnf(matrix-37, plain, ( ( X_26 = n0) | ( X_26 = plus(y_27(X_26), n1)) )).
% 6.84/7.00  cnf(matrix-38, plain, ( ~gt(X_28, X_28) )).
% 6.84/7.00  cnf(matrix-39, plain, ( ( plus(X_29, n1) != plus(Y_30, n1)) | ( X_29 = Y_30) )).
% 6.84/7.00  cnf(matrix-40, plain, ( ( plus(n0, X_31) = X_31) )).
% 6.84/7.00  cnf(matrix-41, plain, ( ( n1 = plus(n0, n1)) )).
% 6.84/7.00  cnf(matrix-42, plain, ( ( level(X_t_32) = int_level(X_t_32)) )).
% 6.84/7.00  cnf(matrix-43, plain, ( ( int_level(X_t_33) != fifo_length) | p_Full(X_t_33) )).
% 6.84/7.00  cnf(matrix-44, plain, ( ( int_level(X_t_34) = fifo_length) | ~p_Full(X_t_34) )).
% 6.84/7.00  cnf(matrix-45, plain, ( ( int_level(X_t_35) != n0) | p_Empty(X_t_35) )).
% 6.84/7.00  cnf(matrix-46, plain, ( ( int_level(X_t_36) = n0) | ~p_Empty(X_t_36) )).
% 6.84/7.00  cnf(matrix-47, plain, ( ~p_Reset(X_t_37) | ( int_level(plus(X_t_37, n1)) = n0) )).
% 6.84/7.00  cnf(matrix-48, plain, ( ~p_Reset(X_t_37) | ( wr_level(plus(X_t_37, n1)) = n0) )).
% 6.84/7.00  cnf(matrix-49, plain, ( ~p_Reset(X_t_37) | ( rd_level(plus(X_t_37, n1)) = n0) )).
% 6.84/7.00  cnf(matrix-50, plain, ( ~p_Reset(X_t_37) | ~p_Wr_error(plus(X_t_37, n1)) )).
% 6.84/7.00  cnf(matrix-51, plain, ( ~p_Reset(X_t_37) | ~p_Rd_error(plus(X_t_37, n1)) )).
% 6.84/7.00  cnf(matrix-52, plain, ( ~p_Reset(X_t_37) | ~p_Mem(X_k1_38, X_k2_39, plus(X_t_37, n1)) )).
% 6.84/7.00  cnf(matrix-53, plain, ( ~p_Reset(X_t_37) | ~p_Data_out(X_k1_40, plus(X_t_37, n1)) )).
% 6.84/7.00  cnf(matrix-54, plain, ( p_Reset(X_t_42) | ~p_Wr(X_t_42) | p_Rd(X_t_42) | ( rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) )).
% 6.84/7.00  cnf(matrix-55, plain, ( p_Reset(X_t_42) | ~p_Wr(X_t_42) | p_Rd(X_t_42) | ~gt(fifo_length, int_level(X_t_42)) | ~p_Wr_error(plus(X_t_42, n1)) )).
% 6.84/7.00  cnf(matrix-56, plain, ( p_Reset(X_t_42) | ~p_Wr(X_t_42) | p_Rd(X_t_42) | ~gt(fifo_length, int_level(X_t_42)) | ( int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)) )).
% 6.84/7.00  cnf(matrix-57, plain, ( p_Reset(X_t_42) | ~p_Wr(X_t_42) | p_Rd(X_t_42) | ~gt(fifo_length, int_level(X_t_42)) | ~p_Mem(wr_level(X_t_42), X_k1_43, plus(X_t_42, n1)) | p_Data_in(X_k1_43, X_t_42) )).
% 6.84/7.00  cnf(matrix-58, plain, ( p_Reset(X_t_42) | ~p_Wr(X_t_42) | p_Rd(X_t_42) | ~gt(fifo_length, int_level(X_t_42)) | p_Mem(wr_level(X_t_42), X_k1_43, plus(X_t_42, n1)) | ~p_Data_in(X_k1_43, X_t_42) )).
% 6.84/7.00  cnf(matrix-59, plain, ( p_Reset(X_t_42) | ~p_Wr(X_t_42) | p_Rd(X_t_42) | ~gt(fifo_length, int_level(X_t_42)) | ( X_c1_47 = wr_level(X_t_42)) | ~p_Mem(X_c1_47, X_k1_48, plus(X_t_42, n1)) | p_Mem(X_c1_47, X_k1_48, X_t_42) )).
% 6.84/7.00  cnf(matrix-60, plain, ( p_Reset(X_t_42) | ~p_Wr(X_t_42) | p_Rd(X_t_42) | ~gt(fifo_length, int_level(X_t_42)) | ( X_c1_47 = wr_level(X_t_42)) | p_Mem(X_c1_47, X_k1_48, plus(X_t_42, n1)) | ~p_Mem(X_c1_47, X_k1_48, X_t_42) )).
% 6.84/7.00  cnf(matrix-61, plain, ( p_Reset(X_t_42) | ~p_Wr(X_t_42) | p_Rd(X_t_42) | ~gt(fifo_length, int_level(X_t_42)) | ~gt(minus(fifo_length, n1), wr_level(X_t_42)) | ( wr_level(plus(X_t_42, n1)) = plus(wr_level(X_t_42), n1)) )).
% 6.84/7.00  cnf(matrix-62, plain, ( p_Reset(X_t_42) | ~p_Wr(X_t_42) | p_Rd(X_t_42) | ~gt(fifo_length, int_level(X_t_42)) | gt(minus(fifo_length, n1), wr_level(X_t_42)) | ( wr_level(plus(X_t_42, n1)) = n0) )).
% 6.84/7.00  cnf(matrix-63, plain, ( p_Reset(X_t_42) | ~p_Wr(X_t_42) | p_Rd(X_t_42) | gt(fifo_length, int_level(X_t_42)) | p_Wr_error(plus(X_t_42, n1)) )).
% 6.84/7.00  cnf(matrix-64, plain, ( p_Reset(X_t_42) | ~p_Wr(X_t_42) | p_Rd(X_t_42) | gt(fifo_length, int_level(X_t_42)) | ( wr_level(plus(X_t_42, n1)) = wr_level(X_t_42)) )).
% 6.84/7.00  cnf(matrix-65, plain, ( p_Reset(X_t_42) | ~p_Wr(X_t_42) | p_Rd(X_t_42) | gt(fifo_length, int_level(X_t_42)) | ( int_level(plus(X_t_42, n1)) = int_level(X_t_42)) )).
% 6.84/7.00  cnf(matrix-66, plain, ( p_Reset(X_t_42) | ~p_Wr(X_t_42) | p_Rd(X_t_42) | gt(fifo_length, int_level(X_t_42)) | ~p_Mem(X_k1_57, X_k2_58, plus(X_t_42, n1)) | p_Mem(X_k1_57, X_k2_58, X_t_42) )).
% 6.84/7.00  cnf(matrix-67, plain, ( p_Reset(X_t_42) | ~p_Wr(X_t_42) | p_Rd(X_t_42) | gt(fifo_length, int_level(X_t_42)) | p_Mem(X_k1_57, X_k2_58, plus(X_t_42, n1)) | ~p_Mem(X_k1_57, X_k2_58, X_t_42) )).
% 6.84/7.00  cnf(matrix-68, plain, ( p_Reset(X_t_42) | ~p_Wr(X_t_42) | p_Rd(X_t_42) | ~p_Data_out(X_k1_64, plus(X_t_42, n1)) | p_Data_out(X_k1_64, X_t_42) )).
% 6.84/7.00  cnf(matrix-69, plain, ( p_Reset(X_t_42) | ~p_Wr(X_t_42) | p_Rd(X_t_42) | p_Data_out(X_k1_64, plus(X_t_42, n1)) | ~p_Data_out(X_k1_64, X_t_42) )).
% 6.84/7.00  cnf(matrix-70, plain, ( p_Reset(X_t_42) | ~p_Wr(X_t_42) | p_Rd(X_t_42) | ~p_Rd_error(plus(X_t_42, n1)) | p_Rd_error(X_t_42) )).
% 6.84/7.00  cnf(matrix-71, plain, ( p_Reset(X_t_42) | ~p_Wr(X_t_42) | p_Rd(X_t_42) | p_Rd_error(plus(X_t_42, n1)) | ~p_Rd_error(X_t_42) )).
% 6.84/7.00  cnf(matrix-72, plain, ( p_Reset(X_t_42) | ~p_Wr(X_t_42) | ~p_Rd(X_t_42) | ~p_Wr_error(plus(X_t_42, n1)) )).
% 6.84/7.00  cnf(matrix-73, plain, ( p_Reset(X_t_42) | ~p_Wr(X_t_42) | ~p_Rd(X_t_42) | ~gt(int_level(X_t_42), n0) | ~p_Rd_error(plus(X_t_42, n1)) )).
% 6.84/7.00  cnf(matrix-74, plain, ( p_Reset(X_t_42) | ~p_Wr(X_t_42) | ~p_Rd(X_t_42) | ~gt(int_level(X_t_42), n0) | ( int_level(plus(X_t_42, n1)) = int_level(X_t_42)) )).
% 6.84/7.00  cnf(matrix-75, plain, ( p_Reset(X_t_42) | ~p_Wr(X_t_42) | ~p_Rd(X_t_42) | ~gt(int_level(X_t_42), n0) | ~p_Data_out(X_k1_73, plus(X_t_42, n1)) | p_Mem(rd_level(X_t_42), X_k1_73, X_t_42) )).
% 6.84/7.00  cnf(matrix-76, plain, ( p_Reset(X_t_42) | ~p_Wr(X_t_42) | ~p_Rd(X_t_42) | ~gt(int_level(X_t_42), n0) | p_Data_out(X_k1_73, plus(X_t_42, n1)) | ~p_Mem(rd_level(X_t_42), X_k1_73, X_t_42) )).
% 6.84/7.00  cnf(matrix-77, plain, ( p_Reset(X_t_42) | ~p_Wr(X_t_42) | ~p_Rd(X_t_42) | ~gt(int_level(X_t_42), n0) | ~gt(minus(fifo_length, n1), rd_level(X_t_42)) | ( rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) )).
% 6.84/7.00  cnf(matrix-78, plain, ( p_Reset(X_t_42) | ~p_Wr(X_t_42) | ~p_Rd(X_t_42) | ~gt(int_level(X_t_42), n0) | gt(minus(fifo_length, n1), rd_level(X_t_42)) | ( rd_level(plus(X_t_42, n1)) = n0) )).
% 6.84/7.00  cnf(matrix-79, plain, ( p_Reset(X_t_42) | ~p_Wr(X_t_42) | ~p_Rd(X_t_42) | gt(int_level(X_t_42), n0) | p_Rd_error(plus(X_t_42, n1)) )).
% 6.84/7.00  cnf(matrix-80, plain, ( p_Reset(X_t_42) | ~p_Wr(X_t_42) | ~p_Rd(X_t_42) | gt(int_level(X_t_42), n0) | ( int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)) )).
% 6.84/7.00  cnf(matrix-81, plain, ( p_Reset(X_t_42) | ~p_Wr(X_t_42) | ~p_Rd(X_t_42) | gt(int_level(X_t_42), n0) | ( rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) )).
% 6.84/7.00  cnf(matrix-82, plain, ( p_Reset(X_t_42) | ~p_Wr(X_t_42) | ~p_Rd(X_t_42) | gt(int_level(X_t_42), n0) | ~p_Data_out(X_k1_81, plus(X_t_42, n1)) | p_Data_out(X_k1_81, X_t_42) )).
% 6.84/7.00  cnf(matrix-83, plain, ( p_Reset(X_t_42) | ~p_Wr(X_t_42) | ~p_Rd(X_t_42) | gt(int_level(X_t_42), n0) | p_Data_out(X_k1_81, plus(X_t_42, n1)) | ~p_Data_out(X_k1_81, X_t_42) )).
% 6.84/7.00  cnf(matrix-84, plain, ( p_Reset(X_t_42) | ~p_Wr(X_t_42) | ~p_Rd(X_t_42) | ~p_Mem(wr_level(X_t_42), X_k1_87, plus(X_t_42, n1)) | p_Data_in(X_k1_87, X_t_42) )).
% 6.84/7.00  cnf(matrix-85, plain, ( p_Reset(X_t_42) | ~p_Wr(X_t_42) | ~p_Rd(X_t_42) | p_Mem(wr_level(X_t_42), X_k1_87, plus(X_t_42, n1)) | ~p_Data_in(X_k1_87, X_t_42) )).
% 6.84/7.00  cnf(matrix-86, plain, ( p_Reset(X_t_42) | ~p_Wr(X_t_42) | ~p_Rd(X_t_42) | ( X_c1_91 = wr_level(X_t_42)) | ~p_Mem(X_c1_91, X_k1_92, plus(X_t_42, n1)) | p_Mem(X_c1_91, X_k1_92, X_t_42) )).
% 6.84/7.00  cnf(matrix-87, plain, ( p_Reset(X_t_42) | ~p_Wr(X_t_42) | ~p_Rd(X_t_42) | ( X_c1_91 = wr_level(X_t_42)) | p_Mem(X_c1_91, X_k1_92, plus(X_t_42, n1)) | ~p_Mem(X_c1_91, X_k1_92, X_t_42) )).
% 6.84/7.00  cnf(matrix-88, plain, ( p_Reset(X_t_42) | ~p_Wr(X_t_42) | ~p_Rd(X_t_42) | ~gt(minus(fifo_length, n1), wr_level(X_t_42)) | ( wr_level(plus(X_t_42, n1)) = plus(wr_level(X_t_42), n1)) )).
% 6.84/7.00  cnf(matrix-89, plain, ( p_Reset(X_t_42) | ~p_Wr(X_t_42) | ~p_Rd(X_t_42) | gt(minus(fifo_length, n1), wr_level(X_t_42)) | ( wr_level(plus(X_t_42, n1)) = n0) )).
% 6.84/7.00  cnf(matrix-90, plain, ( p_Reset(X_t_42) | p_Wr(X_t_42) | ( wr_level(plus(X_t_42, n1)) = wr_level(X_t_42)) )).
% 6.84/7.00  cnf(matrix-91, plain, ( p_Reset(X_t_42) | p_Wr(X_t_42) | ~p_Rd(X_t_42) | ~gt(int_level(X_t_42), n0) | ~p_Rd_error(plus(X_t_42, n1)) )).
% 6.84/7.00  cnf(matrix-92, plain, ( p_Reset(X_t_42) | p_Wr(X_t_42) | ~p_Rd(X_t_42) | ~gt(int_level(X_t_42), n0) | ( int_level(plus(X_t_42, n1)) = minus(int_level(X_t_42), n1)) )).
% 6.84/7.00  cnf(matrix-93, plain, ( p_Reset(X_t_42) | p_Wr(X_t_42) | ~p_Rd(X_t_42) | ~gt(int_level(X_t_42), n0) | ~p_Data_out(X_k1_103, plus(X_t_42, n1)) | p_Mem(rd_level(X_t_42), X_k1_103, X_t_42) )).
% 6.84/7.00  cnf(matrix-94, plain, ( p_Reset(X_t_42) | p_Wr(X_t_42) | ~p_Rd(X_t_42) | ~gt(int_level(X_t_42), n0) | p_Data_out(X_k1_103, plus(X_t_42, n1)) | ~p_Mem(rd_level(X_t_42), X_k1_103, X_t_42) )).
% 6.84/7.00  cnf(matrix-95, plain, ( p_Reset(X_t_42) | p_Wr(X_t_42) | ~p_Rd(X_t_42) | ~gt(int_level(X_t_42), n0) | ~gt(minus(fifo_length, n1), rd_level(X_t_42)) | ( rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) )).
% 6.84/7.00  cnf(matrix-96, plain, ( p_Reset(X_t_42) | p_Wr(X_t_42) | ~p_Rd(X_t_42) | ~gt(int_level(X_t_42), n0) | gt(minus(fifo_length, n1), rd_level(X_t_42)) | ( rd_level(plus(X_t_42, n1)) = n0) )).
% 6.84/7.00  cnf(matrix-97, plain, ( p_Reset(X_t_42) | p_Wr(X_t_42) | ~p_Rd(X_t_42) | gt(int_level(X_t_42), n0) | p_Rd_error(plus(X_t_42, n1)) )).
% 6.84/7.00  cnf(matrix-98, plain, ( p_Reset(X_t_42) | p_Wr(X_t_42) | ~p_Rd(X_t_42) | gt(int_level(X_t_42), n0) | ( rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) )).
% 6.84/7.00  cnf(matrix-99, plain, ( p_Reset(X_t_42) | p_Wr(X_t_42) | ~p_Rd(X_t_42) | gt(int_level(X_t_42), n0) | ( int_level(plus(X_t_42, n1)) = int_level(X_t_42)) )).
% 6.84/7.00  cnf(matrix-100, plain, ( p_Reset(X_t_42) | p_Wr(X_t_42) | ~p_Rd(X_t_42) | gt(int_level(X_t_42), n0) | ~p_Data_out(X_k1_111, plus(X_t_42, n1)) | p_Data_out(X_k1_111, X_t_42) )).
% 6.84/7.00  cnf(matrix-101, plain, ( p_Reset(X_t_42) | p_Wr(X_t_42) | ~p_Rd(X_t_42) | gt(int_level(X_t_42), n0) | p_Data_out(X_k1_111, plus(X_t_42, n1)) | ~p_Data_out(X_k1_111, X_t_42) )).
% 6.84/7.00  cnf(matrix-102, plain, ( p_Reset(X_t_42) | p_Wr(X_t_42) | p_Rd(X_t_42) | ( rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) )).
% 6.84/7.00  cnf(matrix-103, plain, ( p_Reset(X_t_42) | p_Wr(X_t_42) | p_Rd(X_t_42) | ( int_level(plus(X_t_42, n1)) = int_level(X_t_42)) )).
% 6.84/7.00  cnf(matrix-104, plain, ( p_Reset(X_t_42) | p_Wr(X_t_42) | p_Rd(X_t_42) | ~p_Data_out(X_k1_119, plus(X_t_42, n1)) | p_Data_out(X_k1_119, X_t_42) )).
% 6.84/7.00  cnf(matrix-105, plain, ( p_Reset(X_t_42) | p_Wr(X_t_42) | p_Rd(X_t_42) | p_Data_out(X_k1_119, plus(X_t_42, n1)) | ~p_Data_out(X_k1_119, X_t_42) )).
% 6.84/7.00  cnf(matrix-106, plain, ( p_Reset(X_t_42) | p_Wr(X_t_42) | p_Rd(X_t_42) | ~p_Rd_error(plus(X_t_42, n1)) | p_Rd_error(X_t_42) )).
% 6.84/7.00  cnf(matrix-107, plain, ( p_Reset(X_t_42) | p_Wr(X_t_42) | p_Rd(X_t_42) | p_Rd_error(plus(X_t_42, n1)) | ~p_Rd_error(X_t_42) )).
% 6.84/7.00  cnf(matrix-108, plain, ( p_Reset(X_t_42) | p_Wr(X_t_42) | ~p_Mem(X_k1_128, X_k2_129, plus(X_t_42, n1)) | p_Mem(X_k1_128, X_k2_129, X_t_42) )).
% 6.84/7.00  cnf(matrix-109, plain, ( p_Reset(X_t_42) | p_Wr(X_t_42) | p_Mem(X_k1_128, X_k2_129, plus(X_t_42, n1)) | ~p_Mem(X_k1_128, X_k2_129, X_t_42) )).
% 6.84/7.00  cnf(matrix-110, plain, ( p_Reset(X_t_42) | p_Wr(X_t_42) | ~p_Wr_error(plus(X_t_42, n1)) | p_Wr_error(X_t_42) )).
% 6.84/7.00  cnf(matrix-111, plain, ( p_Reset(X_t_42) | p_Wr(X_t_42) | p_Wr_error(plus(X_t_42, n1)) | ~p_Wr_error(X_t_42) )).
% 6.84/7.00  cnf(matrix-112, plain, ( p_Reset(t_139) )).
% 6.84/7.00  cnf(matrix-113, plain, ( ( level(plus(t_139, n1)) != n0) | p_Wr_error(plus(t_139, n1)) | p_Rd_error(plus(t_139, n1)) )).
% 6.84/7.00  
% 6.84/7.00  % Proof stack:
% 6.84/7.00  cnf(proof-stack, plain, 
% 6.84/7.00  proof_stack(
% 6.84/7.00  start(50), 
% 6.84/7.00  left_branch(0, 112, 0, 2), 
% 6.84/7.00  right_branch(2), 
% 6.84/7.00  left_branch(0, 113, 1, 3), 
% 6.84/7.00  left_branch(0, 2, 2, 4), 
% 6.84/7.00  left_branch(0, 42, 0, 5), 
% 6.84/7.00  right_branch(5), 
% 6.84/7.00  left_branch(0, 47, 1, 6), 
% 6.84/7.00  lemmata(0, 0), 
% 6.84/7.00  right_branch(6), 
% 6.84/7.00  right_branch(4), 
% 6.84/7.00  left_branch(0, 51, 1, 5), 
% 6.84/7.00  lemmata(0, 0), 
% 6.84/7.00  right_branch(5), 
% 6.84/7.00  right_branch(3)
% 6.84/7.00  )).
% 6.84/7.00  % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------