TSTP Solution File: HWV031-1 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : HWV031-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n006.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 : Thu Aug 31 02:00:12 EDT 2023

% Result   : Unsatisfiable 19.97s 20.01s
% Output   : CNFRefutation 19.97s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   38
%            Number of leaves      :   51
% Syntax   : Number of formulae    :  218 (  35 unt;  23 typ;   0 def)
%            Number of atoms       :  497 ( 168 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  475 ( 173   ~; 302   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   27 (  19   >;   8   *;   0   +;   0  <<)
%            Number of predicates  :   14 (  12 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   4 con; 0-2 aty)
%            Number of variables   :  179 (  15 sgn;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    n1: $i ).

tff(decl_23,type,
    plus: ( $i * $i ) > $i ).

tff(decl_24,type,
    n0: $i ).

tff(decl_25,type,
    gt: ( $i * $i ) > $o ).

tff(decl_26,type,
    minus: ( $i * $i ) > $i ).

tff(decl_27,type,
    def_10: ( $i * $i ) > $o ).

tff(decl_28,type,
    y_27: $i > $i ).

tff(decl_29,type,
    level: $i > $i ).

tff(decl_30,type,
    int_level: $i > $i ).

tff(decl_31,type,
    fifo_length: $i ).

tff(decl_32,type,
    p_Full: $i > $o ).

tff(decl_33,type,
    p_Empty: $i > $o ).

tff(decl_34,type,
    p_Reset: $i > $o ).

tff(decl_35,type,
    wr_level: $i > $i ).

tff(decl_36,type,
    rd_level: $i > $i ).

tff(decl_37,type,
    p_Wr_error: $i > $o ).

tff(decl_38,type,
    p_Rd_error: $i > $o ).

tff(decl_39,type,
    p_Mem: ( $i * $i * $i ) > $o ).

tff(decl_40,type,
    p_Data_out: ( $i * $i ) > $o ).

tff(decl_41,type,
    p_Wr: $i > $o ).

tff(decl_42,type,
    p_Rd: $i > $o ).

tff(decl_43,type,
    p_Data_in: ( $i * $i ) > $o ).

tff(decl_44,type,
    x_139: $i ).

cnf(axiom_8,axiom,
    ( gt(plus(X1,n1),plus(X2,n1))
    | ~ gt(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_8) ).

cnf(axiom_19,axiom,
    plus(n0,X1) = X1,
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_19) ).

cnf(axiom_10,axiom,
    ( gt(X1,X2)
    | X2 = X1
    | ~ gt(plus(X1,n1),X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_10) ).

cnf(axiom_9,axiom,
    ( gt(X1,X2)
    | ~ gt(plus(X1,n1),plus(X2,n1)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_9) ).

cnf(axiom_15,axiom,
    ( X1 = n0
    | gt(X1,n0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_15) ).

cnf(axiom_1,axiom,
    plus(X1,n1) != n0,
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_1) ).

cnf(axiom_13,axiom,
    ( gt(X1,X3)
    | ~ gt(X1,X2)
    | ~ gt(X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_13) ).

cnf(axiom_18,axiom,
    ( X1 = X2
    | plus(X1,n1) != plus(X2,n1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_18) ).

cnf(axiom_17,axiom,
    ~ gt(X1,X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_17) ).

cnf(axiom_16,axiom,
    ( X1 = n0
    | X1 = plus(y_27(X1),n1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_16) ).

cnf(axiom_5,axiom,
    ( minus(X1,X2) = X3
    | def_10(X2,X1)
    | plus(X3,X2) != X1 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_5) ).

cnf(axiom_6,axiom,
    ( ~ def_10(X1,X2)
    | ~ gt(X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_6) ).

cnf(quest_1,negated_conjecture,
    ~ gt(plus(wr_level(x_139),n1),fifo_length),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_1) ).

cnf(axiom_12,axiom,
    ( gt(X1,X2)
    | X2 = X1
    | gt(X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_12) ).

cnf(axiom_3,axiom,
    ( gt(X1,minus(X1,n1))
    | ~ gt(X1,n0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_3) ).

cnf(axiom_2,axiom,
    gt(plus(X1,n1),n0),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_2) ).

cnf(axiom_14,axiom,
    ( plus(X2,n1) = X1
    | gt(X1,plus(X2,n1))
    | ~ gt(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_14) ).

cnf(quest_3,negated_conjecture,
    gt(fifo_length,n0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_3) ).

cnf(axiom_4,axiom,
    ( plus(X3,X2) = X1
    | def_10(X2,X1)
    | minus(X1,X2) != X3 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_4) ).

cnf(quest_2,negated_conjecture,
    gt(plus(wr_level(plus(x_139,n1)),n1),fifo_length),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_2) ).

cnf(axiom_40,axiom,
    ( p_Reset(X1)
    | p_Rd(X1)
    | wr_level(plus(X1,n1)) = plus(wr_level(X1),n1)
    | ~ p_Wr(X1)
    | ~ gt(fifo_length,int_level(X1))
    | ~ gt(minus(fifo_length,n1),wr_level(X1)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_40) ).

cnf(axiom_21,axiom,
    level(X1) = int_level(X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_21) ).

cnf(axiom_41,axiom,
    ( p_Reset(X1)
    | p_Rd(X1)
    | gt(minus(fifo_length,n1),wr_level(X1))
    | wr_level(plus(X1,n1)) = n0
    | ~ p_Wr(X1)
    | ~ gt(fifo_length,int_level(X1)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_41) ).

cnf(axiom_68,axiom,
    ( p_Reset(X1)
    | gt(minus(fifo_length,n1),wr_level(X1))
    | wr_level(plus(X1,n1)) = n0
    | ~ p_Wr(X1)
    | ~ p_Rd(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_68) ).

cnf(axiom_27,axiom,
    ( wr_level(plus(X1,n1)) = n0
    | ~ p_Reset(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_27) ).

cnf(axiom_69,axiom,
    ( p_Reset(X1)
    | p_Wr(X1)
    | wr_level(plus(X1,n1)) = wr_level(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_69) ).

cnf(axiom_67,axiom,
    ( p_Reset(X1)
    | wr_level(plus(X1,n1)) = plus(wr_level(X1),n1)
    | ~ p_Wr(X1)
    | ~ p_Rd(X1)
    | ~ gt(minus(fifo_length,n1),wr_level(X1)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_67) ).

cnf(axiom_43,axiom,
    ( p_Reset(X1)
    | p_Rd(X1)
    | gt(fifo_length,int_level(X1))
    | wr_level(plus(X1,n1)) = wr_level(X1)
    | ~ p_Wr(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_43) ).

cnf(c_0_28,axiom,
    ( gt(plus(X1,n1),plus(X2,n1))
    | ~ gt(X1,X2) ),
    axiom_8 ).

cnf(c_0_29,axiom,
    plus(n0,X1) = X1,
    axiom_19 ).

cnf(c_0_30,axiom,
    ( gt(X1,X2)
    | X2 = X1
    | ~ gt(plus(X1,n1),X2) ),
    axiom_10 ).

cnf(c_0_31,plain,
    ( gt(plus(X1,n1),n1)
    | ~ gt(X1,n0) ),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_32,axiom,
    ( gt(X1,X2)
    | ~ gt(plus(X1,n1),plus(X2,n1)) ),
    axiom_9 ).

cnf(c_0_33,plain,
    ( X1 = n1
    | gt(X1,n1)
    | ~ gt(X1,n0) ),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_34,axiom,
    ( X1 = n0
    | gt(X1,n0) ),
    axiom_15 ).

cnf(c_0_35,plain,
    ( gt(X1,n0)
    | ~ gt(plus(X1,n1),n1) ),
    inference(spm,[status(thm)],[c_0_32,c_0_29]) ).

cnf(c_0_36,plain,
    ( X1 = n0
    | X1 = n1
    | gt(X1,n1) ),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_37,axiom,
    plus(X1,n1) != n0,
    axiom_1 ).

cnf(c_0_38,axiom,
    ( gt(X1,X3)
    | ~ gt(X1,X2)
    | ~ gt(X2,X3) ),
    axiom_13 ).

cnf(c_0_39,plain,
    ( plus(X1,n1) = n1
    | gt(X1,n0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]) ).

cnf(c_0_40,axiom,
    ( X1 = X2
    | plus(X1,n1) != plus(X2,n1) ),
    axiom_18 ).

cnf(c_0_41,plain,
    ( plus(X1,n1) = n1
    | gt(X2,n0)
    | ~ gt(X2,X1) ),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_42,plain,
    ( n0 = X1
    | gt(n0,X1)
    | ~ gt(n1,X1) ),
    inference(spm,[status(thm)],[c_0_30,c_0_29]) ).

cnf(c_0_43,axiom,
    ~ gt(X1,X1),
    axiom_17 ).

cnf(c_0_44,plain,
    ( X1 = n0
    | plus(X1,n1) != n1 ),
    inference(spm,[status(thm)],[c_0_40,c_0_29]) ).

cnf(c_0_45,axiom,
    ( X1 = n0
    | X1 = plus(y_27(X1),n1) ),
    axiom_16 ).

cnf(c_0_46,plain,
    ( n0 = X1
    | ~ gt(n1,X1) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43]),c_0_44]) ).

cnf(c_0_47,plain,
    ( X1 = n0
    | gt(X2,y_27(X1))
    | ~ gt(plus(X2,n1),X1) ),
    inference(spm,[status(thm)],[c_0_32,c_0_45]) ).

cnf(c_0_48,plain,
    ( gt(n1,plus(X1,n1))
    | ~ gt(n0,X1) ),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_49,axiom,
    ( minus(X1,X2) = X3
    | def_10(X2,X1)
    | plus(X3,X2) != X1 ),
    axiom_5 ).

cnf(c_0_50,plain,
    ( X1 = n0
    | gt(y_27(X1),X2)
    | ~ gt(X1,plus(X2,n1)) ),
    inference(spm,[status(thm)],[c_0_32,c_0_45]) ).

cnf(c_0_51,plain,
    ( y_27(X1) = n0
    | X1 = n0
    | ~ gt(plus(n1,n1),X1) ),
    inference(spm,[status(thm)],[c_0_46,c_0_47]) ).

cnf(c_0_52,plain,
    ~ gt(n0,X1),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_48]),c_0_37]) ).

cnf(c_0_53,axiom,
    ( ~ def_10(X1,X2)
    | ~ gt(X2,X1) ),
    axiom_6 ).

cnf(c_0_54,plain,
    ( minus(plus(X1,X2),X2) = X1
    | def_10(X2,plus(X1,X2)) ),
    inference(er,[status(thm)],[c_0_49]) ).

cnf(c_0_55,plain,
    ( X1 = n0
    | gt(X1,plus(X2,n1))
    | ~ gt(y_27(X1),X2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_45]) ).

cnf(c_0_56,negated_conjecture,
    ~ gt(plus(wr_level(x_139),n1),fifo_length),
    quest_1 ).

cnf(c_0_57,axiom,
    ( gt(X1,X2)
    | X2 = X1
    | gt(X2,X1) ),
    axiom_12 ).

cnf(c_0_58,plain,
    ( X1 = n0
    | ~ gt(plus(n1,n1),X1)
    | ~ gt(X1,plus(X2,n1)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52]) ).

cnf(c_0_59,axiom,
    ( gt(X1,minus(X1,n1))
    | ~ gt(X1,n0) ),
    axiom_3 ).

cnf(c_0_60,plain,
    ( minus(plus(X1,X2),X2) = X1
    | ~ gt(plus(X1,X2),X2) ),
    inference(spm,[status(thm)],[c_0_53,c_0_54]) ).

cnf(c_0_61,axiom,
    gt(plus(X1,n1),n0),
    axiom_2 ).

cnf(c_0_62,axiom,
    ( plus(X2,n1) = X1
    | gt(X1,plus(X2,n1))
    | ~ gt(X1,X2) ),
    axiom_14 ).

cnf(c_0_63,plain,
    y_27(plus(X1,n1)) = X1,
    inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_45])]),c_0_37]) ).

cnf(c_0_64,plain,
    ( y_27(X1) = n0
    | X1 = n0
    | gt(X1,n1) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_34]),c_0_29]) ).

cnf(c_0_65,plain,
    ( gt(X1,n1)
    | ~ gt(X1,plus(X2,n1))
    | ~ gt(X2,n0) ),
    inference(spm,[status(thm)],[c_0_38,c_0_31]) ).

cnf(c_0_66,negated_conjecture,
    ( plus(wr_level(x_139),n1) = fifo_length
    | gt(fifo_length,plus(wr_level(x_139),n1)) ),
    inference(spm,[status(thm)],[c_0_56,c_0_57]) ).

cnf(c_0_67,plain,
    ( ~ gt(plus(X1,n1),plus(X2,n1))
    | ~ gt(n1,X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_28]),c_0_37]) ).

cnf(c_0_68,plain,
    ( gt(plus(X1,n1),X1)
    | ~ gt(plus(X1,n1),n1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61])]) ).

cnf(c_0_69,plain,
    ( plus(X1,n1) = plus(X2,n1)
    | gt(X2,X1)
    | ~ gt(plus(X2,n1),X1) ),
    inference(spm,[status(thm)],[c_0_32,c_0_62]) ).

cnf(c_0_70,plain,
    ( n0 = X1
    | gt(plus(X1,n1),n1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_37]) ).

cnf(c_0_71,negated_conjecture,
    ( plus(wr_level(x_139),n1) = fifo_length
    | gt(fifo_length,n1)
    | ~ gt(wr_level(x_139),n0) ),
    inference(spm,[status(thm)],[c_0_65,c_0_66]) ).

cnf(c_0_72,negated_conjecture,
    gt(fifo_length,n0),
    quest_3 ).

cnf(c_0_73,plain,
    n0 != n1,
    inference(spm,[status(thm)],[c_0_37,c_0_29]) ).

cnf(c_0_74,plain,
    ( ~ gt(n1,X1)
    | ~ gt(X1,X2) ),
    inference(spm,[status(thm)],[c_0_67,c_0_28]) ).

cnf(c_0_75,plain,
    ( gt(plus(X1,n1),X1)
    | ~ gt(X1,n0) ),
    inference(spm,[status(thm)],[c_0_68,c_0_31]) ).

cnf(c_0_76,plain,
    ( plus(n1,n1) = plus(X1,n1)
    | n0 = X1
    | gt(X1,n1) ),
    inference(spm,[status(thm)],[c_0_69,c_0_70]) ).

cnf(c_0_77,negated_conjecture,
    ( plus(wr_level(x_139),n1) = n1
    | plus(wr_level(x_139),n1) = fifo_length
    | gt(fifo_length,n1) ),
    inference(spm,[status(thm)],[c_0_71,c_0_39]) ).

cnf(c_0_78,negated_conjecture,
    ( fifo_length = n1
    | gt(fifo_length,n1) ),
    inference(spm,[status(thm)],[c_0_33,c_0_72]) ).

cnf(c_0_79,plain,
    y_27(n1) = n0,
    inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45])]),c_0_73]) ).

cnf(c_0_80,plain,
    ( X1 = n0
    | ~ gt(plus(n1,n1),X1)
    | ~ gt(y_27(X1),X2) ),
    inference(spm,[status(thm)],[c_0_74,c_0_47]) ).

cnf(c_0_81,plain,
    gt(plus(X1,n1),X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_75]),c_0_61])]) ).

cnf(c_0_82,plain,
    ( plus(plus(X1,n1),n1) = plus(n1,n1)
    | gt(X1,n0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_76]),c_0_37]) ).

cnf(c_0_83,axiom,
    ( plus(X3,X2) = X1
    | def_10(X2,X1)
    | minus(X1,X2) != X3 ),
    axiom_4 ).

cnf(c_0_84,negated_conjecture,
    ( plus(wr_level(x_139),n1) = n1
    | gt(fifo_length,n1) ),
    inference(csr,[status(thm)],[inference(ef,[status(thm)],[c_0_77]),c_0_78]) ).

cnf(c_0_85,plain,
    ~ gt(n1,plus(X1,n1)),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_79]),c_0_73]),c_0_52]) ).

cnf(c_0_86,plain,
    ( ~ gt(plus(n1,n1),plus(X1,n1))
    | ~ gt(X1,X2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_63]),c_0_37]) ).

cnf(c_0_87,plain,
    ( gt(plus(n1,n1),plus(X1,n1))
    | gt(X1,n0) ),
    inference(spm,[status(thm)],[c_0_81,c_0_82]) ).

cnf(c_0_88,plain,
    ( plus(minus(X1,X2),X2) = X1
    | def_10(X2,X1) ),
    inference(er,[status(thm)],[c_0_83]) ).

cnf(c_0_89,negated_conjecture,
    ( gt(fifo_length,n1)
    | ~ gt(wr_level(x_139),X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_84]),c_0_85]) ).

cnf(c_0_90,plain,
    ( gt(X1,n0)
    | ~ gt(X1,X2) ),
    inference(spm,[status(thm)],[c_0_86,c_0_87]) ).

cnf(c_0_91,plain,
    ( def_10(n1,X1)
    | gt(X2,minus(X1,n1))
    | ~ gt(plus(X2,n1),X1) ),
    inference(spm,[status(thm)],[c_0_32,c_0_88]) ).

cnf(c_0_92,negated_conjecture,
    ( X1 = wr_level(x_139)
    | gt(X1,wr_level(x_139))
    | gt(fifo_length,n1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_57]) ).

cnf(c_0_93,plain,
    ( def_10(n1,X1)
    | gt(X2,n0)
    | ~ gt(plus(X2,n1),X1) ),
    inference(spm,[status(thm)],[c_0_90,c_0_91]) ).

cnf(c_0_94,negated_conjecture,
    gt(plus(wr_level(plus(x_139,n1)),n1),fifo_length),
    quest_2 ).

cnf(c_0_95,negated_conjecture,
    ( X1 = wr_level(x_139)
    | gt(fifo_length,n1)
    | gt(X1,n0) ),
    inference(spm,[status(thm)],[c_0_90,c_0_92]) ).

cnf(c_0_96,negated_conjecture,
    ( def_10(n1,fifo_length)
    | gt(wr_level(plus(x_139,n1)),n0) ),
    inference(spm,[status(thm)],[c_0_93,c_0_94]) ).

cnf(c_0_97,plain,
    ( n0 = X1
    | gt(X2,n1)
    | ~ gt(X2,plus(X1,n1)) ),
    inference(spm,[status(thm)],[c_0_38,c_0_70]) ).

cnf(c_0_98,plain,
    ( X1 = plus(X2,n1)
    | X2 = X1
    | gt(X1,plus(X2,n1))
    | gt(X2,X1) ),
    inference(spm,[status(thm)],[c_0_30,c_0_57]) ).

cnf(c_0_99,negated_conjecture,
    ( gt(fifo_length,n1)
    | gt(X1,n0)
    | ~ gt(plus(X1,n1),fifo_length) ),
    inference(spm,[status(thm)],[c_0_56,c_0_95]) ).

cnf(c_0_100,negated_conjecture,
    ( gt(wr_level(plus(x_139,n1)),n0)
    | ~ gt(fifo_length,n1) ),
    inference(spm,[status(thm)],[c_0_53,c_0_96]) ).

cnf(c_0_101,plain,
    ( X1 = n0
    | gt(X1,n1)
    | ~ gt(X1,plus(X2,n1)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_64]),c_0_52]) ).

cnf(c_0_102,plain,
    ( X1 = plus(X2,n1)
    | n0 = X2
    | X2 = X1
    | gt(X1,n1)
    | gt(X2,X1) ),
    inference(spm,[status(thm)],[c_0_97,c_0_98]) ).

cnf(c_0_103,axiom,
    ( p_Reset(X1)
    | p_Rd(X1)
    | wr_level(plus(X1,n1)) = plus(wr_level(X1),n1)
    | ~ p_Wr(X1)
    | ~ gt(fifo_length,int_level(X1))
    | ~ gt(minus(fifo_length,n1),wr_level(X1)) ),
    axiom_40 ).

cnf(c_0_104,axiom,
    level(X1) = int_level(X1),
    axiom_21 ).

cnf(c_0_105,axiom,
    ( p_Reset(X1)
    | p_Rd(X1)
    | gt(minus(fifo_length,n1),wr_level(X1))
    | wr_level(plus(X1,n1)) = n0
    | ~ p_Wr(X1)
    | ~ gt(fifo_length,int_level(X1)) ),
    axiom_41 ).

cnf(c_0_106,axiom,
    ( p_Reset(X1)
    | gt(minus(fifo_length,n1),wr_level(X1))
    | wr_level(plus(X1,n1)) = n0
    | ~ p_Wr(X1)
    | ~ p_Rd(X1) ),
    axiom_68 ).

cnf(c_0_107,axiom,
    ( wr_level(plus(X1,n1)) = n0
    | ~ p_Reset(X1) ),
    axiom_27 ).

cnf(c_0_108,negated_conjecture,
    ( plus(wr_level(x_139),n1) = fifo_length
    | wr_level(x_139) = n0
    | gt(fifo_length,n1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_57]),c_0_52]) ).

cnf(c_0_109,axiom,
    ( p_Reset(X1)
    | p_Wr(X1)
    | wr_level(plus(X1,n1)) = wr_level(X1) ),
    axiom_69 ).

cnf(c_0_110,negated_conjecture,
    gt(wr_level(plus(x_139,n1)),n0),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_94]),c_0_100]) ).

cnf(c_0_111,plain,
    ( gt(plus(X1,n1),n1)
    | ~ gt(X1,X2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_28]),c_0_37]) ).

cnf(c_0_112,negated_conjecture,
    ( plus(plus(wr_level(x_139),n1),n1) = fifo_length
    | plus(wr_level(x_139),n1) = fifo_length
    | gt(fifo_length,n1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_102]),c_0_37]) ).

cnf(c_0_113,plain,
    ( wr_level(plus(X1,n1)) = plus(wr_level(X1),n1)
    | p_Reset(X1)
    | p_Rd(X1)
    | ~ p_Wr(X1)
    | ~ gt(fifo_length,level(X1))
    | ~ gt(minus(fifo_length,n1),wr_level(X1)) ),
    inference(rw,[status(thm)],[c_0_103,c_0_104]) ).

cnf(c_0_114,axiom,
    ( p_Reset(X1)
    | wr_level(plus(X1,n1)) = plus(wr_level(X1),n1)
    | ~ p_Wr(X1)
    | ~ p_Rd(X1)
    | ~ gt(minus(fifo_length,n1),wr_level(X1)) ),
    axiom_67 ).

cnf(c_0_115,plain,
    ( wr_level(plus(X1,n1)) = n0
    | p_Reset(X1)
    | p_Rd(X1)
    | gt(minus(fifo_length,n1),wr_level(X1))
    | ~ p_Wr(X1)
    | ~ gt(fifo_length,level(X1)) ),
    inference(rw,[status(thm)],[c_0_105,c_0_104]) ).

cnf(c_0_116,plain,
    ( wr_level(plus(X1,n1)) = n0
    | gt(minus(fifo_length,n1),wr_level(X1))
    | ~ p_Rd(X1)
    | ~ p_Wr(X1) ),
    inference(csr,[status(thm)],[c_0_106,c_0_107]) ).

cnf(c_0_117,axiom,
    ( p_Reset(X1)
    | p_Rd(X1)
    | gt(fifo_length,int_level(X1))
    | wr_level(plus(X1,n1)) = wr_level(X1)
    | ~ p_Wr(X1) ),
    axiom_43 ).

cnf(c_0_118,negated_conjecture,
    ( wr_level(x_139) = n0
    | gt(fifo_length,n1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_108]),c_0_78]) ).

cnf(c_0_119,plain,
    ( gt(minus(X1,n1),n0)
    | ~ gt(X1,n1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_88]),c_0_53]) ).

cnf(c_0_120,negated_conjecture,
    ( p_Wr(x_139)
    | p_Reset(x_139) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_109]),c_0_56]) ).

cnf(c_0_121,negated_conjecture,
    ~ p_Reset(x_139),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_107]),c_0_43]) ).

cnf(c_0_122,plain,
    ( X1 = n0
    | gt(plus(X2,n1),n1)
    | ~ gt(plus(X2,n1),X1) ),
    inference(spm,[status(thm)],[c_0_111,c_0_47]) ).

cnf(c_0_123,negated_conjecture,
    ( plus(wr_level(x_139),n1) = fifo_length
    | gt(fifo_length,n1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_112]),c_0_37]) ).

cnf(c_0_124,plain,
    ( wr_level(plus(X1,n1)) = plus(wr_level(X1),n1)
    | p_Reset(X1)
    | ~ p_Wr(X1)
    | ~ gt(minus(fifo_length,n1),wr_level(X1))
    | ~ gt(fifo_length,level(X1)) ),
    inference(csr,[status(thm)],[c_0_113,c_0_114]) ).

cnf(c_0_125,plain,
    ( wr_level(plus(X1,n1)) = n0
    | gt(minus(fifo_length,n1),wr_level(X1))
    | ~ p_Wr(X1)
    | ~ gt(fifo_length,level(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_115,c_0_107]),c_0_116]) ).

cnf(c_0_126,plain,
    ( wr_level(plus(X1,n1)) = wr_level(X1)
    | p_Reset(X1)
    | p_Rd(X1)
    | gt(fifo_length,level(X1))
    | ~ p_Wr(X1) ),
    inference(rw,[status(thm)],[c_0_117,c_0_104]) ).

cnf(c_0_127,negated_conjecture,
    ( wr_level(plus(x_139,n1)) = n0
    | gt(minus(fifo_length,n1),n0)
    | ~ p_Rd(x_139)
    | ~ p_Wr(x_139) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_118]),c_0_119]) ).

cnf(c_0_128,negated_conjecture,
    p_Wr(x_139),
    inference(sr,[status(thm)],[c_0_120,c_0_121]) ).

cnf(c_0_129,negated_conjecture,
    ( X1 = n0
    | gt(fifo_length,n1)
    | ~ gt(fifo_length,X1) ),
    inference(spm,[status(thm)],[c_0_122,c_0_123]) ).

cnf(c_0_130,negated_conjecture,
    ( plus(wr_level(x_139),n1) = fifo_length
    | gt(X1,plus(wr_level(x_139),n1))
    | ~ gt(X1,fifo_length) ),
    inference(spm,[status(thm)],[c_0_38,c_0_66]) ).

cnf(c_0_131,plain,
    ( wr_level(plus(X1,n1)) = plus(wr_level(X1),n1)
    | wr_level(plus(X1,n1)) = n0
    | ~ p_Wr(X1)
    | ~ gt(fifo_length,level(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_107]) ).

cnf(c_0_132,plain,
    ( wr_level(plus(X1,n1)) = plus(wr_level(X1),n1)
    | wr_level(plus(X1,n1)) = n0
    | ~ p_Rd(X1)
    | ~ p_Wr(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_116]),c_0_107]) ).

cnf(c_0_133,plain,
    ( wr_level(plus(X1,n1)) = wr_level(X1)
    | p_Rd(X1)
    | p_Reset(X1)
    | gt(fifo_length,level(X1)) ),
    inference(csr,[status(thm)],[c_0_126,c_0_109]) ).

cnf(c_0_134,negated_conjecture,
    ( wr_level(plus(x_139,n1)) = n0
    | gt(minus(fifo_length,n1),n0)
    | ~ p_Rd(x_139) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_127,c_0_128])]) ).

cnf(c_0_135,negated_conjecture,
    ( minus(fifo_length,n1) = n0
    | gt(fifo_length,n1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_59]),c_0_72])]) ).

cnf(c_0_136,plain,
    ( gt(n0,X1)
    | ~ gt(n1,plus(X1,n1)) ),
    inference(spm,[status(thm)],[c_0_32,c_0_29]) ).

cnf(c_0_137,negated_conjecture,
    ( plus(wr_level(x_139),n1) = fifo_length
    | ~ gt(n1,fifo_length) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_130]),c_0_37]) ).

cnf(c_0_138,negated_conjecture,
    ( wr_level(plus(x_139,n1)) = n0
    | gt(plus(plus(wr_level(x_139),n1),n1),fifo_length)
    | ~ gt(fifo_length,level(x_139)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_131]),c_0_128])]) ).

cnf(c_0_139,negated_conjecture,
    ( wr_level(plus(x_139,n1)) = n0
    | gt(plus(plus(wr_level(x_139),n1),n1),fifo_length)
    | ~ p_Rd(x_139) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_132]),c_0_128])]) ).

cnf(c_0_140,negated_conjecture,
    ( p_Rd(x_139)
    | p_Reset(x_139)
    | gt(fifo_length,level(x_139)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_133]),c_0_56]) ).

cnf(c_0_141,negated_conjecture,
    ( wr_level(plus(x_139,n1)) = n0
    | gt(fifo_length,n1)
    | ~ p_Rd(x_139) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_43]) ).

cnf(c_0_142,negated_conjecture,
    ~ gt(n1,fifo_length),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_52]) ).

cnf(c_0_143,negated_conjecture,
    ( wr_level(plus(x_139,n1)) = n0
    | plus(wr_level(x_139),n1) = fifo_length
    | ~ gt(fifo_length,level(x_139)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_138]),c_0_56]) ).

cnf(c_0_144,negated_conjecture,
    ( wr_level(plus(x_139,n1)) = n0
    | plus(wr_level(x_139),n1) = fifo_length
    | ~ p_Rd(x_139) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_139]),c_0_56]) ).

cnf(c_0_145,negated_conjecture,
    ( plus(X1,n1) = fifo_length
    | gt(fifo_length,n1)
    | ~ gt(fifo_length,X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_62]),c_0_37]) ).

cnf(c_0_146,negated_conjecture,
    ( p_Rd(x_139)
    | gt(fifo_length,level(x_139)) ),
    inference(sr,[status(thm)],[c_0_140,c_0_121]) ).

cnf(c_0_147,negated_conjecture,
    ( gt(fifo_length,n1)
    | ~ p_Rd(x_139) ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_141]),c_0_29]),c_0_142]) ).

cnf(c_0_148,plain,
    ( X1 = n0
    | ~ gt(X1,plus(y_27(X1),n1)) ),
    inference(spm,[status(thm)],[c_0_43,c_0_50]) ).

cnf(c_0_149,plain,
    ( X1 = n0
    | gt(X1,y_27(X1)) ),
    inference(spm,[status(thm)],[c_0_81,c_0_45]) ).

cnf(c_0_150,negated_conjecture,
    ( plus(wr_level(x_139),n1) = fifo_length
    | ~ gt(fifo_length,level(x_139)) ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_143]),c_0_29]),c_0_142]) ).

cnf(c_0_151,negated_conjecture,
    ( plus(wr_level(x_139),n1) = fifo_length
    | ~ p_Rd(x_139) ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_144]),c_0_29]),c_0_142]) ).

cnf(c_0_152,negated_conjecture,
    ( wr_level(plus(x_139,n1)) = n0
    | gt(minus(fifo_length,n1),n0)
    | ~ p_Wr(x_139)
    | ~ gt(fifo_length,level(x_139)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_118]),c_0_119]) ).

cnf(c_0_153,negated_conjecture,
    ( plus(level(x_139),n1) = fifo_length
    | gt(fifo_length,n1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_146]),c_0_147]) ).

cnf(c_0_154,plain,
    ( y_27(X1) = n0
    | X1 = n0
    | ~ gt(X1,plus(plus(y_27(y_27(X1)),n1),n1)) ),
    inference(spm,[status(thm)],[c_0_148,c_0_50]) ).

cnf(c_0_155,plain,
    ( y_27(X1) = n0
    | X1 = n0
    | gt(X1,plus(y_27(y_27(X1)),n1)) ),
    inference(spm,[status(thm)],[c_0_55,c_0_149]) ).

cnf(c_0_156,negated_conjecture,
    ( fifo_length != n0
    | ~ gt(fifo_length,level(x_139)) ),
    inference(spm,[status(thm)],[c_0_37,c_0_150]) ).

cnf(c_0_157,negated_conjecture,
    ( fifo_length != n0
    | ~ p_Rd(x_139) ),
    inference(spm,[status(thm)],[c_0_37,c_0_151]) ).

cnf(c_0_158,negated_conjecture,
    ( wr_level(plus(x_139,n1)) = n0
    | gt(minus(fifo_length,n1),n0)
    | ~ gt(fifo_length,level(x_139)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_152,c_0_128])]) ).

cnf(c_0_159,negated_conjecture,
    ( gt(fifo_length,level(x_139))
    | gt(fifo_length,n1) ),
    inference(spm,[status(thm)],[c_0_81,c_0_153]) ).

cnf(c_0_160,plain,
    ( plus(plus(y_27(y_27(X1)),n1),n1) = X1
    | y_27(X1) = n0
    | X1 = n0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_62]),c_0_155]) ).

cnf(c_0_161,negated_conjecture,
    ( y_27(fifo_length) = wr_level(x_139)
    | ~ p_Rd(x_139) ),
    inference(spm,[status(thm)],[c_0_63,c_0_151]) ).

cnf(c_0_162,negated_conjecture,
    fifo_length != n0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_146]),c_0_157]) ).

cnf(c_0_163,negated_conjecture,
    ( wr_level(plus(x_139,n1)) = n0
    | gt(fifo_length,n1) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_135]),c_0_43]),c_0_159]) ).

cnf(c_0_164,plain,
    ( X1 = n0
    | gt(y_27(X1),n0)
    | ~ gt(X1,n1) ),
    inference(spm,[status(thm)],[c_0_35,c_0_45]) ).

cnf(c_0_165,negated_conjecture,
    ( plus(plus(y_27(wr_level(x_139)),n1),n1) = fifo_length
    | wr_level(x_139) = n0
    | ~ p_Rd(x_139) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_161]),c_0_162]) ).

cnf(c_0_166,negated_conjecture,
    gt(fifo_length,n1),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_163]),c_0_29]),c_0_142]) ).

cnf(c_0_167,plain,
    ( X1 = n0
    | ~ gt(plus(n1,n1),X1)
    | ~ gt(X1,n1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_51]),c_0_43]) ).

cnf(c_0_168,plain,
    ( X1 = n0
    | ~ gt(plus(y_27(X1),n1),X1) ),
    inference(spm,[status(thm)],[c_0_43,c_0_47]) ).

cnf(c_0_169,negated_conjecture,
    ( plus(y_27(wr_level(x_139)),n1) = minus(fifo_length,n1)
    | wr_level(x_139) = n0
    | ~ p_Rd(x_139) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_165]),c_0_166])]) ).

cnf(c_0_170,plain,
    ( ~ gt(plus(X1,n1),n1)
    | ~ gt(n1,X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_28]),c_0_37]) ).

cnf(c_0_171,negated_conjecture,
    ( wr_level(x_139) = n0
    | ~ p_Rd(x_139)
    | ~ gt(minus(fifo_length,n1),wr_level(x_139)) ),
    inference(spm,[status(thm)],[c_0_168,c_0_169]) ).

cnf(c_0_172,negated_conjecture,
    ( ~ gt(n1,wr_level(x_139))
    | ~ gt(fifo_length,level(x_139)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_150]),c_0_166])]) ).

cnf(c_0_173,negated_conjecture,
    ( wr_level(x_139) = n0
    | fifo_length != n1
    | ~ gt(fifo_length,level(x_139)) ),
    inference(spm,[status(thm)],[c_0_44,c_0_150]) ).

cnf(c_0_174,plain,
    gt(n1,n0),
    inference(spm,[status(thm)],[c_0_61,c_0_29]) ).

cnf(c_0_175,negated_conjecture,
    ( ~ p_Rd(x_139)
    | ~ gt(n1,wr_level(x_139)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_151]),c_0_166])]) ).

cnf(c_0_176,negated_conjecture,
    ( wr_level(x_139) = n0
    | fifo_length != n1
    | ~ p_Rd(x_139) ),
    inference(spm,[status(thm)],[c_0_44,c_0_151]) ).

cnf(c_0_177,negated_conjecture,
    ( wr_level(plus(x_139,n1)) = n0
    | wr_level(x_139) = n0
    | ~ p_Rd(x_139) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_116]),c_0_128])]) ).

cnf(c_0_178,negated_conjecture,
    ( fifo_length != n1
    | ~ gt(fifo_length,level(x_139)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_173]),c_0_174])]) ).

cnf(c_0_179,negated_conjecture,
    ( fifo_length != n1
    | ~ p_Rd(x_139) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_176]),c_0_174])]) ).

cnf(c_0_180,plain,
    ( X1 = X2
    | gt(X1,X2)
    | gt(X3,X1)
    | ~ gt(X3,X2) ),
    inference(spm,[status(thm)],[c_0_38,c_0_57]) ).

cnf(c_0_181,negated_conjecture,
    ( wr_level(x_139) = n0
    | ~ p_Rd(x_139) ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_177]),c_0_29]),c_0_142]) ).

cnf(c_0_182,negated_conjecture,
    fifo_length != n1,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_146]),c_0_179]) ).

cnf(c_0_183,negated_conjecture,
    ( X1 = level(x_139)
    | p_Rd(x_139)
    | p_Reset(x_139)
    | gt(X1,level(x_139))
    | gt(fifo_length,X1) ),
    inference(spm,[status(thm)],[c_0_180,c_0_140]) ).

cnf(c_0_184,negated_conjecture,
    ~ p_Rd(x_139),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_181]),c_0_29]),c_0_182]) ).

cnf(c_0_185,plain,
    ( def_10(n1,X1)
    | gt(X1,plus(X2,n1))
    | ~ gt(minus(X1,n1),X2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_88]) ).

cnf(c_0_186,negated_conjecture,
    ( X1 = level(x_139)
    | p_Rd(x_139)
    | gt(X1,level(x_139))
    | gt(fifo_length,X1) ),
    inference(sr,[status(thm)],[c_0_183,c_0_121]) ).

cnf(c_0_187,negated_conjecture,
    gt(fifo_length,level(x_139)),
    inference(sr,[status(thm)],[c_0_146,c_0_184]) ).

cnf(c_0_188,plain,
    ( wr_level(plus(X1,n1)) = n0
    | def_10(n1,fifo_length)
    | gt(fifo_length,plus(wr_level(X1),n1))
    | ~ p_Wr(X1)
    | ~ gt(fifo_length,level(X1)) ),
    inference(spm,[status(thm)],[c_0_185,c_0_125]) ).

cnf(c_0_189,negated_conjecture,
    ( X1 = level(x_139)
    | gt(X1,level(x_139))
    | gt(fifo_length,X1) ),
    inference(sr,[status(thm)],[c_0_186,c_0_184]) ).

cnf(c_0_190,negated_conjecture,
    plus(wr_level(x_139),n1) = fifo_length,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_150,c_0_187])]) ).

cnf(c_0_191,negated_conjecture,
    ( wr_level(plus(x_139,n1)) = n0
    | level(x_139) = fifo_length
    | def_10(n1,fifo_length) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_189]),c_0_190]),c_0_128])]),c_0_43]) ).

cnf(c_0_192,negated_conjecture,
    ( wr_level(plus(x_139,n1)) = n0
    | level(x_139) = fifo_length ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_191]),c_0_166])]) ).

cnf(c_0_193,negated_conjecture,
    level(x_139) = fifo_length,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_192]),c_0_29]),c_0_142]) ).

cnf(c_0_194,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_187,c_0_193]),c_0_43]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : HWV031-1 : TPTP v8.1.2. Released v2.5.0.
% 0.06/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34  % Computer : n006.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 29 15:20:36 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.20/0.61  start to proof: theBenchmark
% 19.97/20.01  % Version  : CSE_E---1.5
% 19.97/20.01  % Problem  : theBenchmark.p
% 19.97/20.01  % Proof found
% 19.97/20.01  % SZS status Theorem for theBenchmark.p
% 19.97/20.01  % SZS output start Proof
% See solution above
% 19.97/20.03  % Total time : 19.398000 s
% 19.97/20.03  % SZS output end Proof
% 19.97/20.03  % Total time : 19.404000 s
%------------------------------------------------------------------------------