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E---3.5.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : HWV031-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n017.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 12:47:26 PM UTC 2026

% Result   : Unsatisfiable 47.52s 12.49s
% Output   : CNFRefutation 47.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   30
%            Number of leaves      :   28
% Syntax   : Number of clauses     :  194 (  46 unt; 115 nHn; 155 RR)
%            Number of literals    :  494 ( 174 equ; 141 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   4 con; 0-2 aty)
%            Number of variables   :  176 (   7 sgn)

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

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_8,axiom,
    ( ~ gt(X1,X2)
    | gt(plus(X1,n1),plus(X2,n1)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_8) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

cnf(axiom_7,axiom,
    ( X2 != X1
    | ~ def_10(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_7) ).

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

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

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

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

cnf(c_0_28,plain,
    ( ~ gt(plus(X1,n1),plus(X2,n1))
    | gt(X1,X2) ),
    inference(fof_simplification,[status(thm)],[axiom_9]) ).

cnf(c_0_29,negated_conjecture,
    ~ gt(plus(wr_level(x_139),n1),fifo_length),
    inference(fof_simplification,[status(thm)],[quest_1]) ).

cnf(c_0_30,plain,
    ( ~ gt(X1,X2)
    | gt(plus(X1,n1),plus(X2,n1)) ),
    inference(fof_simplification,[status(thm)],[axiom_8]) ).

cnf(c_0_31,plain,
    ( plus(X1,n1) != plus(X2,n1)
    | X1 = X2 ),
    inference(fof_simplification,[status(thm)],[axiom_18]) ).

cnf(c_0_32,plain,
    plus(X1,n1) != n0,
    inference(fof_simplification,[status(thm)],[axiom_1]) ).

cnf(c_0_33,plain,
    ( ~ gt(plus(X1,n1),plus(X2,n1))
    | gt(X1,X2) ),
    c_0_28 ).

cnf(c_0_34,axiom,
    ( X1 = plus(y_27(X1),n1)
    | X1 = n0 ),
    axiom_16 ).

cnf(c_0_35,negated_conjecture,
    ~ gt(plus(wr_level(x_139),n1),fifo_length),
    c_0_29 ).

cnf(c_0_36,axiom,
    ( gt(X2,X1)
    | X2 = X1
    | gt(X1,X2) ),
    axiom_12 ).

cnf(c_0_37,plain,
    ( ~ gt(X1,X2)
    | gt(plus(X1,n1),plus(X2,n1)) ),
    c_0_30 ).

cnf(c_0_38,axiom,
    ( gt(X1,n0)
    | X1 = n0 ),
    axiom_15 ).

cnf(c_0_39,axiom,
    plus(n0,X1) = X1,
    axiom_19 ).

cnf(c_0_40,plain,
    ( ~ gt(X1,X2)
    | gt(X1,plus(X2,n1))
    | plus(X2,n1) = X1 ),
    inference(fof_simplification,[status(thm)],[axiom_14]) ).

cnf(c_0_41,plain,
    ( plus(X1,n1) != plus(X2,n1)
    | X1 = X2 ),
    c_0_31 ).

cnf(c_0_42,plain,
    plus(X1,n1) != n0,
    c_0_32 ).

cnf(c_0_43,plain,
    ( ~ gt(X1,plus(X2,n1))
    | gt(y_27(X1),X2)
    | X1 = n0 ),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_44,negated_conjecture,
    ( gt(fifo_length,plus(wr_level(x_139),n1))
    | plus(wr_level(x_139),n1) = fifo_length ),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_45,plain,
    ( gt(plus(X1,n1),n1)
    | X1 = n0 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]) ).

cnf(c_0_46,plain,
    ( ~ gt(X1,X2)
    | gt(X1,plus(X2,n1))
    | plus(X2,n1) = X1 ),
    c_0_40 ).

cnf(c_0_47,plain,
    ( plus(X1,n1) != n1
    | X1 = n0 ),
    inference(spm,[status(thm)],[c_0_41,c_0_39]) ).

cnf(c_0_48,plain,
    n0 != n1,
    inference(spm,[status(thm)],[c_0_42,c_0_39]) ).

cnf(c_0_49,plain,
    ( ~ gt(X2,X3)
    | ~ gt(X1,X2)
    | gt(X1,X3) ),
    inference(fof_simplification,[status(thm)],[axiom_13]) ).

cnf(c_0_50,axiom,
    gt(plus(X1,n1),n0),
    axiom_2 ).

cnf(c_0_51,negated_conjecture,
    ( gt(y_27(fifo_length),wr_level(x_139))
    | fifo_length = n0
    | plus(wr_level(x_139),n1) = fifo_length ),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

cnf(c_0_52,plain,
    ( gt(X1,n1)
    | X1 = n0
    | y_27(X1) = n0 ),
    inference(spm,[status(thm)],[c_0_45,c_0_34]) ).

cnf(c_0_53,plain,
    ( ~ gt(plus(X2,n1),X1)
    | gt(X2,y_27(X1))
    | X1 = n0 ),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_54,plain,
    ( gt(X1,n1)
    | n1 = X1
    | X1 = n0 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_38]),c_0_39]),c_0_39]) ).

cnf(c_0_55,plain,
    y_27(n1) = n0,
    inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_34])]),c_0_48]) ).

cnf(c_0_56,plain,
    ( ~ gt(X2,X1)
    | gt(y_27(X2),y_27(X1))
    | X2 = n0
    | X1 = n0 ),
    inference(spm,[status(thm)],[c_0_43,c_0_34]) ).

cnf(c_0_57,plain,
    ( gt(plus(X1,n1),plus(n1,n1))
    | X1 = n0
    | plus(n1,n1) = plus(X1,n1) ),
    inference(spm,[status(thm)],[c_0_46,c_0_45]) ).

cnf(c_0_58,plain,
    y_27(plus(X1,n1)) = X1,
    inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_34])]),c_0_42]) ).

cnf(c_0_59,plain,
    ( ~ p_Wr(X1)
    | wr_level(plus(X1,n1)) = wr_level(X1)
    | gt(fifo_length,int_level(X1))
    | p_Rd(X1)
    | p_Reset(X1) ),
    inference(fof_simplification,[status(thm)],[axiom_43]) ).

cnf(c_0_60,plain,
    ( ~ gt(X2,X3)
    | ~ gt(X1,X2)
    | gt(X1,X3) ),
    c_0_49 ).

cnf(c_0_61,plain,
    gt(plus(plus(X1,n1),n1),n1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_50]),c_0_39]) ).

cnf(c_0_62,negated_conjecture,
    ( gt(fifo_length,n1)
    | gt(n0,wr_level(x_139))
    | fifo_length = n0
    | plus(wr_level(x_139),n1) = fifo_length ),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

cnf(c_0_63,plain,
    ~ gt(X1,X1),
    inference(fof_simplification,[status(thm)],[axiom_17]) ).

cnf(c_0_64,plain,
    ( ~ gt(plus(X1,n1),X2)
    | X2 = X1
    | gt(X1,X2) ),
    inference(fof_simplification,[status(thm)],[axiom_10]) ).

cnf(c_0_65,plain,
    ( gt(X1,n0)
    | plus(X1,n1) = n1 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55]),c_0_48]),c_0_42]) ).

cnf(c_0_66,plain,
    ( ~ gt(X1,n0)
    | gt(X1,minus(X1,n1)) ),
    inference(fof_simplification,[status(thm)],[axiom_3]) ).

cnf(c_0_67,plain,
    ( gt(X1,n1)
    | X1 = n0
    | plus(n1,n1) = plus(X1,n1) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58]),c_0_58]),c_0_42]),c_0_42]) ).

cnf(c_0_68,negated_conjecture,
    gt(fifo_length,n0),
    quest_3 ).

cnf(c_0_69,plain,
    ( ~ gt(fifo_length,int_level(X1))
    | ~ p_Wr(X1)
    | wr_level(plus(X1,n1)) = n0
    | gt(minus(fifo_length,n1),wr_level(X1))
    | p_Rd(X1)
    | p_Reset(X1) ),
    inference(fof_simplification,[status(thm)],[axiom_41]) ).

cnf(c_0_70,plain,
    ( ~ p_Rd(X1)
    | ~ p_Wr(X1)
    | wr_level(plus(X1,n1)) = n0
    | gt(minus(fifo_length,n1),wr_level(X1))
    | p_Reset(X1) ),
    inference(fof_simplification,[status(thm)],[axiom_68]) ).

cnf(c_0_71,plain,
    ( ~ p_Reset(X1)
    | wr_level(plus(X1,n1)) = n0 ),
    inference(fof_simplification,[status(thm)],[axiom_27]) ).

cnf(c_0_72,plain,
    ( ~ p_Wr(X1)
    | wr_level(plus(X1,n1)) = wr_level(X1)
    | gt(fifo_length,int_level(X1))
    | p_Rd(X1)
    | p_Reset(X1) ),
    c_0_59 ).

cnf(c_0_73,axiom,
    level(X1) = int_level(X1),
    axiom_21 ).

cnf(c_0_74,plain,
    ( ~ gt(X1,plus(plus(X2,n1),n1))
    | gt(X1,n1) ),
    inference(spm,[status(thm)],[c_0_60,c_0_61]) ).

cnf(c_0_75,negated_conjecture,
    ( gt(fifo_length,plus(plus(wr_level(x_139),n1),n1))
    | plus(wr_level(x_139),n1) = fifo_length
    | plus(plus(wr_level(x_139),n1),n1) = fifo_length ),
    inference(spm,[status(thm)],[c_0_46,c_0_44]) ).

cnf(c_0_76,plain,
    ( ~ gt(X2,X1)
    | gt(X2,n0)
    | X1 = n0 ),
    inference(spm,[status(thm)],[c_0_60,c_0_38]) ).

cnf(c_0_77,negated_conjecture,
    ( gt(fifo_length,n1)
    | gt(n0,plus(wr_level(x_139),n1))
    | fifo_length = n0
    | plus(wr_level(x_139),n1) = fifo_length ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_62]),c_0_42]) ).

cnf(c_0_78,plain,
    ~ gt(X1,X1),
    c_0_63 ).

cnf(c_0_79,plain,
    ( ~ gt(plus(X1,n1),X2)
    | X2 = X1
    | gt(X1,X2) ),
    c_0_64 ).

cnf(c_0_80,plain,
    ( gt(plus(X1,n1),n1)
    | plus(X1,n1) = n1 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_65]),c_0_39]) ).

cnf(c_0_81,plain,
    ( plus(X3,X2) != X1
    | def_10(X2,X1)
    | minus(X1,X2) = X3 ),
    inference(fof_simplification,[status(thm)],[axiom_5]) ).

cnf(c_0_82,plain,
    ( X2 != X1
    | ~ def_10(X1,X2) ),
    inference(fof_simplification,[status(thm)],[axiom_7]) ).

cnf(c_0_83,plain,
    ( ~ gt(X1,n0)
    | gt(X1,minus(X1,n1)) ),
    c_0_66 ).

cnf(c_0_84,plain,
    ( gt(X1,n0)
    | plus(plus(X1,n1),n1) = plus(n1,n1) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_67]),c_0_55]),c_0_48]),c_0_42]) ).

cnf(c_0_85,negated_conjecture,
    gt(plus(fifo_length,n1),n1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_68]),c_0_39]) ).

cnf(c_0_86,plain,
    ( ~ gt(fifo_length,int_level(X1))
    | ~ p_Wr(X1)
    | wr_level(plus(X1,n1)) = n0
    | gt(minus(fifo_length,n1),wr_level(X1))
    | p_Rd(X1)
    | p_Reset(X1) ),
    c_0_69 ).

cnf(c_0_87,plain,
    ( ~ p_Rd(X1)
    | ~ p_Wr(X1)
    | wr_level(plus(X1,n1)) = n0
    | gt(minus(fifo_length,n1),wr_level(X1))
    | p_Reset(X1) ),
    c_0_70 ).

cnf(c_0_88,plain,
    ( ~ p_Reset(X1)
    | wr_level(plus(X1,n1)) = n0 ),
    c_0_71 ).

cnf(c_0_89,plain,
    ( ~ p_Wr(X1)
    | gt(fifo_length,level(X1))
    | p_Rd(X1)
    | p_Reset(X1)
    | wr_level(plus(X1,n1)) = wr_level(X1) ),
    inference(rw,[status(thm)],[c_0_72,c_0_73]) ).

cnf(c_0_90,axiom,
    ( wr_level(plus(X1,n1)) = wr_level(X1)
    | p_Wr(X1)
    | p_Reset(X1) ),
    axiom_69 ).

cnf(c_0_91,negated_conjecture,
    ( gt(fifo_length,n1)
    | plus(wr_level(x_139),n1) = fifo_length
    | plus(plus(wr_level(x_139),n1),n1) = fifo_length ),
    inference(spm,[status(thm)],[c_0_74,c_0_75]) ).

cnf(c_0_92,negated_conjecture,
    ( gt(fifo_length,n1)
    | fifo_length = n0
    | plus(wr_level(x_139),n1) = fifo_length ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_42]),c_0_78]) ).

cnf(c_0_93,plain,
    ( gt(X1,n1)
    | X1 = n1
    | plus(X1,n1) = n1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_54]),c_0_42]) ).

cnf(c_0_94,plain,
    ( ~ gt(X2,plus(X1,n1))
    | gt(X2,n1)
    | plus(X1,n1) = n1 ),
    inference(spm,[status(thm)],[c_0_60,c_0_80]) ).

cnf(c_0_95,plain,
    ( plus(X3,X2) != X1
    | def_10(X2,X1)
    | minus(X1,X2) = X3 ),
    c_0_81 ).

cnf(c_0_96,plain,
    ( X2 != X1
    | ~ def_10(X1,X2) ),
    c_0_82 ).

cnf(c_0_97,negated_conjecture,
    gt(fifo_length,minus(fifo_length,n1)),
    inference(spm,[status(thm)],[c_0_83,c_0_68]) ).

cnf(c_0_98,plain,
    ( ~ gt(plus(X1,n1),plus(n1,n1))
    | gt(X2,n0)
    | gt(X1,plus(X2,n1)) ),
    inference(spm,[status(thm)],[c_0_33,c_0_84]) ).

cnf(c_0_99,negated_conjecture,
    gt(plus(plus(fifo_length,n1),n1),plus(n1,n1)),
    inference(spm,[status(thm)],[c_0_37,c_0_85]) ).

cnf(c_0_100,plain,
    ( ~ gt(fifo_length,level(X1))
    | ~ p_Wr(X1)
    | gt(minus(fifo_length,n1),wr_level(X1))
    | p_Rd(X1)
    | p_Reset(X1)
    | wr_level(plus(X1,n1)) = n0 ),
    inference(rw,[status(thm)],[c_0_86,c_0_73]) ).

cnf(c_0_101,plain,
    ( ~ p_Wr(X1)
    | ~ p_Rd(X1)
    | gt(minus(fifo_length,n1),wr_level(X1))
    | wr_level(plus(X1,n1)) = n0 ),
    inference(csr,[status(thm)],[c_0_87,c_0_88]) ).

cnf(c_0_102,negated_conjecture,
    gt(plus(wr_level(plus(x_139,n1)),n1),fifo_length),
    quest_2 ).

cnf(c_0_103,plain,
    ( gt(fifo_length,level(X1))
    | p_Reset(X1)
    | p_Rd(X1)
    | wr_level(plus(X1,n1)) = wr_level(X1) ),
    inference(csr,[status(thm)],[c_0_89,c_0_90]) ).

cnf(c_0_104,negated_conjecture,
    ( gt(fifo_length,n1)
    | plus(wr_level(x_139),n1) = fifo_length ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_91]),c_0_92]) ).

cnf(c_0_105,plain,
    ( ~ gt(X2,X1)
    | gt(X2,n1)
    | X1 = n1
    | plus(X1,n1) = n1 ),
    inference(spm,[status(thm)],[c_0_60,c_0_93]) ).

cnf(c_0_106,negated_conjecture,
    ( gt(fifo_length,n1)
    | plus(wr_level(x_139),n1) = n1
    | plus(wr_level(x_139),n1) = fifo_length ),
    inference(spm,[status(thm)],[c_0_94,c_0_44]) ).

cnf(c_0_107,negated_conjecture,
    ( gt(fifo_length,n1)
    | fifo_length = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_68]),c_0_39]),c_0_39]) ).

cnf(c_0_108,plain,
    ( def_10(X2,plus(X1,X2))
    | minus(plus(X1,X2),X2) = X1 ),
    inference(er,[status(thm)],[c_0_95]) ).

cnf(c_0_109,plain,
    ~ def_10(X1,X1),
    inference(er,[status(thm)],[c_0_96]) ).

cnf(c_0_110,plain,
    ( ~ gt(X2,plus(X1,n1))
    | gt(X2,n1)
    | X1 = n0 ),
    inference(spm,[status(thm)],[c_0_60,c_0_45]) ).

cnf(c_0_111,negated_conjecture,
    ( gt(fifo_length,plus(minus(fifo_length,n1),n1))
    | plus(minus(fifo_length,n1),n1) = fifo_length ),
    inference(spm,[status(thm)],[c_0_46,c_0_97]) ).

cnf(c_0_112,negated_conjecture,
    ( gt(X1,n0)
    | gt(plus(fifo_length,n1),plus(X1,n1)) ),
    inference(spm,[status(thm)],[c_0_98,c_0_99]) ).

cnf(c_0_113,plain,
    ( ~ gt(fifo_length,level(X1))
    | ~ p_Wr(X1)
    | gt(minus(fifo_length,n1),wr_level(X1))
    | wr_level(plus(X1,n1)) = n0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_100,c_0_88]),c_0_101]) ).

cnf(c_0_114,negated_conjecture,
    ( gt(fifo_length,level(x_139))
    | p_Reset(x_139)
    | p_Rd(x_139) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_35]) ).

cnf(c_0_115,negated_conjecture,
    ( p_Reset(x_139)
    | p_Wr(x_139) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_90]),c_0_35]) ).

cnf(c_0_116,negated_conjecture,
    ( plus(X1,n1) != fifo_length
    | gt(fifo_length,n1)
    | wr_level(x_139) = X1 ),
    inference(spm,[status(thm)],[c_0_41,c_0_104]) ).

cnf(c_0_117,negated_conjecture,
    ( gt(fifo_length,n1)
    | minus(fifo_length,n1) = n1
    | plus(minus(fifo_length,n1),n1) = n1 ),
    inference(spm,[status(thm)],[c_0_105,c_0_97]) ).

cnf(c_0_118,negated_conjecture,
    ( ~ gt(plus(X1,n1),fifo_length)
    | gt(fifo_length,n1)
    | gt(X1,wr_level(x_139)) ),
    inference(spm,[status(thm)],[c_0_33,c_0_104]) ).

cnf(c_0_119,negated_conjecture,
    ( gt(fifo_length,n1)
    | plus(wr_level(x_139),n1) = n1 ),
    inference(csr,[status(thm)],[inference(ef,[status(thm)],[c_0_106]),c_0_107]) ).

cnf(c_0_120,plain,
    minus(X1,X1) = n0,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_39]),c_0_109]) ).

cnf(c_0_121,plain,
    ( ~ p_Wr(X1)
    | ~ p_Rd(X1)
    | gt(minus(fifo_length,n1),plus(wr_level(X1),n1))
    | wr_level(plus(X1,n1)) = n0
    | plus(wr_level(X1),n1) = minus(fifo_length,n1) ),
    inference(spm,[status(thm)],[c_0_46,c_0_101]) ).

cnf(c_0_122,negated_conjecture,
    ( gt(fifo_length,n1)
    | minus(fifo_length,n1) = n0
    | plus(minus(fifo_length,n1),n1) = fifo_length ),
    inference(spm,[status(thm)],[c_0_110,c_0_111]) ).

cnf(c_0_123,negated_conjecture,
    ( gt(fifo_length,X1)
    | gt(X1,n0) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_112]),c_0_58]),c_0_58]),c_0_42]),c_0_42]) ).

cnf(c_0_124,negated_conjecture,
    ( gt(minus(fifo_length,n1),wr_level(x_139))
    | p_Rd(x_139)
    | wr_level(plus(x_139,n1)) = n0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_115]),c_0_88]) ).

cnf(c_0_125,negated_conjecture,
    ( gt(fifo_length,n1)
    | minus(fifo_length,n1) = n1
    | minus(fifo_length,n1) = wr_level(x_139) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_107]) ).

cnf(c_0_126,negated_conjecture,
    ( gt(fifo_length,n1)
    | gt(wr_level(plus(x_139,n1)),wr_level(x_139)) ),
    inference(spm,[status(thm)],[c_0_118,c_0_102]) ).

cnf(c_0_127,negated_conjecture,
    ( gt(fifo_length,n1)
    | wr_level(x_139) = n0 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_119]),c_0_120]),c_0_109]) ).

cnf(c_0_128,plain,
    ( ~ p_Wr(X1)
    | ~ p_Rd(X1)
    | gt(minus(fifo_length,n1),n0)
    | wr_level(plus(X1,n1)) = n0
    | plus(wr_level(X1),n1) = minus(fifo_length,n1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_121]),c_0_42]) ).

cnf(c_0_129,negated_conjecture,
    ( gt(fifo_length,n1)
    | minus(fifo_length,n1) = n0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_122]),c_0_107]) ).

cnf(c_0_130,negated_conjecture,
    ( gt(fifo_length,X1)
    | gt(X1,minus(X1,n1)) ),
    inference(spm,[status(thm)],[c_0_83,c_0_123]) ).

cnf(c_0_131,negated_conjecture,
    ( gt(fifo_length,n1)
    | p_Rd(x_139)
    | minus(fifo_length,n1) = n1
    | wr_level(plus(x_139,n1)) = n0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_78]) ).

cnf(c_0_132,negated_conjecture,
    ( gt(fifo_length,n1)
    | gt(wr_level(plus(x_139,n1)),n0) ),
    inference(spm,[status(thm)],[c_0_126,c_0_127]) ).

cnf(c_0_133,negated_conjecture,
    ( ~ p_Wr(X1)
    | ~ p_Rd(X1)
    | gt(fifo_length,n1)
    | wr_level(plus(X1,n1)) = n0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_42]),c_0_78]) ).

cnf(c_0_134,negated_conjecture,
    ( gt(fifo_length,n1)
    | p_Rd(x_139)
    | wr_level(plus(x_139,n1)) = n0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_78]) ).

cnf(c_0_135,negated_conjecture,
    ( ~ p_Wr(x_139)
    | ~ p_Rd(x_139)
    | gt(fifo_length,n1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_78]) ).

cnf(c_0_136,negated_conjecture,
    ( gt(fifo_length,n1)
    | p_Rd(x_139) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_134]),c_0_78]) ).

cnf(c_0_137,negated_conjecture,
    gt(plus(plus(wr_level(plus(x_139,n1)),n1),n1),plus(fifo_length,n1)),
    inference(spm,[status(thm)],[c_0_37,c_0_102]) ).

cnf(c_0_138,negated_conjecture,
    ( ~ p_Wr(x_139)
    | gt(fifo_length,n1) ),
    inference(spm,[status(thm)],[c_0_135,c_0_136]) ).

cnf(c_0_139,negated_conjecture,
    ( ~ p_Reset(x_139)
    | gt(fifo_length,n1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_88]),c_0_78]) ).

cnf(c_0_140,negated_conjecture,
    ( ~ gt(X1,plus(plus(wr_level(plus(x_139,n1)),n1),n1))
    | gt(X1,plus(fifo_length,n1)) ),
    inference(spm,[status(thm)],[c_0_60,c_0_137]) ).

cnf(c_0_141,negated_conjecture,
    gt(fifo_length,n1),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_115]),c_0_139]) ).

cnf(c_0_142,plain,
    ( ~ gt(minus(fifo_length,n1),wr_level(X1))
    | ~ gt(fifo_length,int_level(X1))
    | ~ p_Wr(X1)
    | wr_level(plus(X1,n1)) = plus(wr_level(X1),n1)
    | p_Rd(X1)
    | p_Reset(X1) ),
    inference(fof_simplification,[status(thm)],[axiom_40]) ).

cnf(c_0_143,negated_conjecture,
    ( ~ gt(X1,plus(n1,n1))
    | gt(X1,plus(fifo_length,n1))
    | gt(wr_level(plus(x_139,n1)),n0) ),
    inference(spm,[status(thm)],[c_0_140,c_0_84]) ).

cnf(c_0_144,negated_conjecture,
    gt(plus(fifo_length,n1),plus(n1,n1)),
    inference(spm,[status(thm)],[c_0_37,c_0_141]) ).

cnf(c_0_145,plain,
    ( ~ gt(X2,X1)
    | ~ def_10(X1,X2) ),
    inference(fof_simplification,[status(thm)],[axiom_6]) ).

cnf(c_0_146,plain,
    ( ~ gt(minus(fifo_length,n1),wr_level(X1))
    | ~ gt(fifo_length,int_level(X1))
    | ~ p_Wr(X1)
    | wr_level(plus(X1,n1)) = plus(wr_level(X1),n1)
    | p_Rd(X1)
    | p_Reset(X1) ),
    c_0_142 ).

cnf(c_0_147,plain,
    ( ~ gt(minus(fifo_length,n1),wr_level(X1))
    | ~ p_Rd(X1)
    | ~ p_Wr(X1)
    | wr_level(plus(X1,n1)) = plus(wr_level(X1),n1)
    | p_Reset(X1) ),
    inference(fof_simplification,[status(thm)],[axiom_67]) ).

cnf(c_0_148,negated_conjecture,
    gt(wr_level(plus(x_139,n1)),n0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_78]) ).

cnf(c_0_149,plain,
    ( ~ gt(X2,X1)
    | ~ def_10(X1,X2) ),
    c_0_145 ).

cnf(c_0_150,plain,
    ( ~ gt(minus(fifo_length,n1),wr_level(X1))
    | ~ gt(fifo_length,level(X1))
    | ~ p_Wr(X1)
    | p_Rd(X1)
    | p_Reset(X1)
    | wr_level(plus(X1,n1)) = plus(wr_level(X1),n1) ),
    inference(rw,[status(thm)],[c_0_146,c_0_73]) ).

cnf(c_0_151,plain,
    ( ~ gt(minus(fifo_length,n1),wr_level(X1))
    | ~ p_Rd(X1)
    | ~ p_Wr(X1)
    | wr_level(plus(X1,n1)) = plus(wr_level(X1),n1)
    | p_Reset(X1) ),
    c_0_147 ).

cnf(c_0_152,negated_conjecture,
    ~ p_Reset(x_139),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_88]),c_0_78]) ).

cnf(c_0_153,plain,
    ( ~ gt(plus(X1,X2),X2)
    | minus(plus(X1,X2),X2) = X1 ),
    inference(spm,[status(thm)],[c_0_149,c_0_108]) ).

cnf(c_0_154,plain,
    ( ~ gt(fifo_length,level(X1))
    | ~ gt(minus(fifo_length,n1),wr_level(X1))
    | ~ p_Wr(X1)
    | p_Reset(X1)
    | wr_level(plus(X1,n1)) = plus(wr_level(X1),n1) ),
    inference(csr,[status(thm)],[c_0_150,c_0_151]) ).

cnf(c_0_155,negated_conjecture,
    ( gt(fifo_length,level(x_139))
    | p_Rd(x_139) ),
    inference(sr,[status(thm)],[c_0_114,c_0_152]) ).

cnf(c_0_156,negated_conjecture,
    p_Wr(x_139),
    inference(sr,[status(thm)],[c_0_115,c_0_152]) ).

cnf(c_0_157,negated_conjecture,
    ( gt(wr_level(plus(x_139,n1)),fifo_length)
    | wr_level(plus(x_139,n1)) = fifo_length ),
    inference(spm,[status(thm)],[c_0_79,c_0_102]) ).

cnf(c_0_158,plain,
    ( ~ p_Wr(X1)
    | ~ p_Rd(X1)
    | wr_level(plus(X1,n1)) = n0
    | wr_level(plus(X1,n1)) = plus(wr_level(X1),n1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_101]),c_0_88]) ).

cnf(c_0_159,plain,
    ( ~ gt(X1,n1)
    | X1 = n0
    | y_27(X1) = minus(X1,n1) ),
    inference(spm,[status(thm)],[c_0_153,c_0_34]) ).

cnf(c_0_160,negated_conjecture,
    ( ~ gt(X1,fifo_length)
    | gt(X1,n1) ),
    inference(spm,[status(thm)],[c_0_60,c_0_141]) ).

cnf(c_0_161,negated_conjecture,
    ( ~ gt(minus(fifo_length,n1),wr_level(x_139))
    | p_Rd(x_139)
    | wr_level(plus(x_139,n1)) = plus(wr_level(x_139),n1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_155]),c_0_156])]),c_0_152]) ).

cnf(c_0_162,negated_conjecture,
    ( ~ p_Wr(x_139)
    | ~ p_Rd(x_139)
    | plus(wr_level(x_139),n1) = fifo_length
    | wr_level(plus(x_139,n1)) = n0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_158]),c_0_35]) ).

cnf(c_0_163,plain,
    ( gt(X1,minus(X1,n1))
    | X1 = n0 ),
    inference(spm,[status(thm)],[c_0_83,c_0_38]) ).

cnf(c_0_164,plain,
    ( X1 = n0
    | minus(plus(X1,n1),n1) = X1 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_45]),c_0_58]),c_0_42]) ).

cnf(c_0_165,negated_conjecture,
    gt(plus(wr_level(plus(x_139,n1)),n1),n1),
    inference(spm,[status(thm)],[c_0_160,c_0_102]) ).

cnf(c_0_166,negated_conjecture,
    ( p_Rd(x_139)
    | wr_level(plus(x_139,n1)) = n0
    | wr_level(plus(x_139,n1)) = plus(wr_level(x_139),n1) ),
    inference(spm,[status(thm)],[c_0_161,c_0_124]) ).

cnf(c_0_167,negated_conjecture,
    ( ~ p_Rd(x_139)
    | wr_level(plus(x_139,n1)) = n0
    | plus(wr_level(x_139),n1) = fifo_length ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_162,c_0_156])]) ).

cnf(c_0_168,plain,
    ( gt(plus(X1,n1),X1)
    | X1 = n0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_164]),c_0_42]) ).

cnf(c_0_169,negated_conjecture,
    gt(plus(plus(wr_level(plus(x_139,n1)),n1),n1),plus(n1,n1)),
    inference(spm,[status(thm)],[c_0_37,c_0_165]) ).

cnf(c_0_170,negated_conjecture,
    ( plus(wr_level(x_139),n1) = fifo_length
    | wr_level(plus(x_139,n1)) = n0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_166]),c_0_35]),c_0_167]) ).

cnf(c_0_171,plain,
    gt(plus(X1,n1),X1),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_168]),c_0_58]),c_0_42]),c_0_42]) ).

cnf(c_0_172,plain,
    ( gt(X1,X2)
    | gt(plus(X2,n1),plus(X1,n1))
    | plus(X1,n1) = plus(X2,n1) ),
    inference(spm,[status(thm)],[c_0_33,c_0_36]) ).

cnf(c_0_173,plain,
    ( gt(X1,minus(X1,n1))
    | plus(X1,n1) = n1 ),
    inference(spm,[status(thm)],[c_0_83,c_0_65]) ).

cnf(c_0_174,negated_conjecture,
    plus(wr_level(x_139),n1) = fifo_length,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_170]),c_0_39]),c_0_78]) ).

cnf(c_0_175,plain,
    ( ~ gt(X1,plus(X2,n1))
    | gt(X1,X2) ),
    inference(spm,[status(thm)],[c_0_60,c_0_171]) ).

cnf(c_0_176,plain,
    ( gt(X2,X1)
    | gt(X1,X2)
    | plus(X1,n1) = plus(X2,n1) ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_172]),c_0_58]),c_0_42]) ).

cnf(c_0_177,plain,
    ( ~ gt(X2,X1)
    | gt(X2,minus(X1,n1))
    | plus(X1,n1) = n1 ),
    inference(spm,[status(thm)],[c_0_60,c_0_173]) ).

cnf(c_0_178,negated_conjecture,
    minus(fifo_length,n1) = wr_level(x_139),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_174]),c_0_141])]) ).

cnf(c_0_179,plain,
    ( ~ gt(X2,X1)
    | gt(X2,y_27(X1))
    | X1 = n0 ),
    inference(spm,[status(thm)],[c_0_175,c_0_34]) ).

cnf(c_0_180,negated_conjecture,
    ( gt(fifo_length,plus(wr_level(x_139),n1))
    | plus(plus(wr_level(x_139),n1),n1) = plus(fifo_length,n1) ),
    inference(spm,[status(thm)],[c_0_35,c_0_176]) ).

cnf(c_0_181,plain,
    ( ~ p_Wr(X1)
    | ~ p_Rd(X1)
    | gt(minus(fifo_length,n1),minus(plus(wr_level(X1),n1),n1))
    | wr_level(plus(X1,n1)) = n0
    | plus(plus(wr_level(X1),n1),n1) = n1
    | plus(wr_level(X1),n1) = minus(fifo_length,n1) ),
    inference(spm,[status(thm)],[c_0_177,c_0_121]) ).

cnf(c_0_182,negated_conjecture,
    ( p_Rd(x_139)
    | wr_level(plus(x_139,n1)) = n0 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_124,c_0_178]),c_0_78]) ).

cnf(c_0_183,negated_conjecture,
    ( gt(fifo_length,wr_level(x_139))
    | plus(plus(wr_level(x_139),n1),n1) = plus(fifo_length,n1) ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_180]),c_0_58]),c_0_42]) ).

cnf(c_0_184,plain,
    ( ~ p_Wr(X1)
    | ~ p_Rd(X1)
    | gt(wr_level(x_139),minus(plus(wr_level(X1),n1),n1))
    | wr_level(plus(X1,n1)) = n0
    | plus(wr_level(X1),n1) = wr_level(x_139)
    | plus(plus(wr_level(X1),n1),n1) = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_181,c_0_178]),c_0_178]) ).

cnf(c_0_185,negated_conjecture,
    p_Rd(x_139),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_182]),c_0_39]),c_0_78]) ).

cnf(c_0_186,negated_conjecture,
    gt(plus(fifo_length,n1),plus(wr_level(x_139),n1)),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_183]),c_0_37]) ).

cnf(c_0_187,negated_conjecture,
    ( wr_level(x_139) = fifo_length
    | plus(fifo_length,n1) = n1
    | wr_level(plus(x_139,n1)) = n0 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_174]),c_0_178]),c_0_185]),c_0_156])]),c_0_78]) ).

cnf(c_0_188,negated_conjecture,
    gt(fifo_length,wr_level(x_139)),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_186]),c_0_58]),c_0_58]),c_0_42]),c_0_42]) ).

cnf(c_0_189,negated_conjecture,
    ( wr_level(x_139) = fifo_length
    | plus(fifo_length,n1) = n1 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_187]),c_0_39]),c_0_78]) ).

cnf(c_0_190,negated_conjecture,
    minus(plus(fifo_length,n1),n1) = fifo_length,
    inference(spm,[status(thm)],[c_0_153,c_0_85]) ).

cnf(c_0_191,negated_conjecture,
    plus(fifo_length,n1) = n1,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_189]),c_0_78]) ).

cnf(c_0_192,negated_conjecture,
    fifo_length != n0,
    inference(spm,[status(thm)],[c_0_42,c_0_174]) ).

cnf(c_0_193,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_190,c_0_191]),c_0_120]),c_0_192]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : HWV031-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/5.38  % Computer : n017.cluster.edu
% 0.10/5.38  % Model    : x86_64 x86_64
% 0.10/5.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38  % Memory   : 8046.5625MB
% 0.10/5.38  % OS       : Linux 6.8.0-71-generic
% 0.10/5.38  % CPULimit : 300
% 0.10/5.38  % WCLimit  : 300
% 0.10/5.38  % DateTime : Sun Sep 20 20:44:32 UTC 2026
% 0.10/5.39  % CPUTime  : 
% 0.10/5.39  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/5.46  Running first-order theorem proving
% 0.15/5.46  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 47.52/12.49  % Version: 3.5.1
% 47.52/12.49  % Preprocessing class: FSLSSMSSSSSNFFN.
% 47.52/12.49  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 47.52/12.49  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 47.52/12.49  % Starting new_bool_3 with 300s (1) cores
% 47.52/12.49  % Starting new_bool_1 with 300s (1) cores
% 47.52/12.49  % Starting sh5l with 300s (1) cores
% 47.52/12.49  % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 613065 completed with status 0
% 47.52/12.49  % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 47.52/12.49  % Preprocessing class: FSLSSMSSSSSNFFN.
% 47.52/12.49  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 47.52/12.49  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 47.52/12.49  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 47.52/12.49  % No SInE strategy applied
% 47.52/12.49  % Search class: FGHSS-FFMS21-MFFFFFNN
% 47.52/12.49  % partial match(1): FGHSS-FFMS21-SFFFFFNN
% 47.52/12.49  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 47.52/12.49  % Starting SubtermCWHack with 136s (1) cores
% 47.52/12.49  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 47.52/12.49  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 47.52/12.49  % Starting new_bool_3 with 136s (1) cores
% 47.52/12.49  % Starting new_bool_1 with 136s (1) cores
% 47.52/12.49  % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 613073 completed with status 0
% 47.52/12.49  % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 47.52/12.49  % Preprocessing class: FSLSSMSSSSSNFFN.
% 47.52/12.49  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 47.52/12.49  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 47.52/12.49  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 47.52/12.49  % No SInE strategy applied
% 47.52/12.49  % Search class: FGHSS-FFMS21-MFFFFFNN
% 47.52/12.49  % partial match(1): FGHSS-FFMS21-SFFFFFNN
% 47.52/12.49  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 47.52/12.49  % Starting SubtermCWHack with 136s (1) cores
% 47.52/12.49  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 47.52/12.49  % Preprocessing time       : 0.004 s
% 47.52/12.49  % Presaturation interreduction done
% 47.52/12.49  
% 47.52/12.49  % Proof found!
% 47.52/12.49  % SZS status Unsatisfiable
% 47.52/12.49  % SZS output start CNFRefutation
% See solution above
% 47.52/12.49  % Parsed axioms                        : 93
% 47.52/12.49  % Removed by relevancy pruning/SinE    : 0
% 47.52/12.49  % Initial clauses                      : 93
% 47.52/12.49  % Removed in clause preprocessing      : 1
% 47.52/12.49  % Initial clauses in saturation        : 92
% 47.52/12.49  % Processed clauses                    : 13005
% 47.52/12.49  % ...of these trivial                  : 407
% 47.52/12.49  % ...subsumed                          : 9705
% 47.52/12.49  % ...remaining for further processing  : 2893
% 47.52/12.49  % Other redundant clauses eliminated   : 56
% 47.52/12.49  % Clauses deleted for lack of memory   : 0
% 47.52/12.49  % Backward-subsumed                    : 854
% 47.52/12.49  % Backward-rewritten                   : 845
% 47.52/12.49  % Generated clauses                    : 187956
% 47.52/12.49  % ...of the previous two non-redundant : 127462
% 47.52/12.49  % ...aggressively subsumed             : 0
% 47.52/12.49  % Contextual simplify-reflections      : 127
% 47.52/12.49  % Paramodulations                      : 187755
% 47.52/12.49  % Factorizations                       : 63
% 47.52/12.49  % NegExts                              : 0
% 47.52/12.49  % Equation resolutions                 : 61
% 47.52/12.49  % Disequality decompositions           : 0
% 47.52/12.49  % Total rewrite steps                  : 96914
% 47.52/12.49  % ...of those cached                   : 96517
% 47.52/12.49  % Propositional unsat checks           : 0
% 47.52/12.49  %    Propositional check models        : 0
% 47.52/12.49  %    Propositional check unsatisfiable : 0
% 47.52/12.49  %    Propositional clauses             : 0
% 47.52/12.49  %    Propositional clauses after purity: 0
% 47.52/12.49  %    Propositional unsat core size     : 0
% 47.52/12.49  %    Propositional preprocessing time  : 0.000
% 47.52/12.49  %    Propositional encoding time       : 0.000
% 47.52/12.49  %    Propositional solver time         : 0.000
% 47.52/12.49  %    Success case prop preproc time    : 0.000
% 47.52/12.49  %    Success case prop encoding time   : 0.000
% 47.52/12.49  %    Success case prop solver time     : 0.000
% 47.52/12.49  % Current number of processed clauses  : 1040
% 47.52/12.49  %    Positive orientable unit clauses  : 88
% 47.52/12.49  %    Positive unorientable unit clauses: 0
% 47.52/12.49  %    Negative unit clauses             : 7
% 47.52/12.49  %    Non-unit-clauses                  : 945
% 47.52/12.49  % Current number of unprocessed clauses: 111228
% 47.52/12.49  % ...number of literals in the above   : 589617
% 47.52/12.49  % Current number of archived formulas  : 0
% 47.52/12.49  % Current number of archived clauses   : 1851
% 47.52/12.49  % Clause-clause subsumption calls (NU) : 713826
% 47.52/12.49  % Rec. Clause-clause subsumption calls : 141707
% 47.52/12.49  % Non-unit clause-clause subsumptions  : 10205
% 47.52/12.49  % Unit Clause-clause subsumption calls : 15339
% 47.52/12.49  % Rewrite failures with RHS unbound    : 0
% 47.52/12.49  % BW rewrite match attempts            : 706
% 47.52/12.49  % BW rewrite match successes           : 73
% 47.52/12.49  % Condensation attempts                : 0
% 47.52/12.49  % Condensation successes               : 0
% 47.52/12.49  % Termbank termtop insertions          : 3493207
% 47.52/12.49  % Search garbage collected termcells   : 188
% 47.52/12.49  
% 47.52/12.49  % -------------------------------------------------
% 47.52/12.49  % User time                : 6.189 s
% 47.52/12.49  % System time              : 0.144 s
% 47.52/12.49  % Total time               : 6.333 s
% 47.52/12.49  % Maximum resident set size: 3704 pages
% 47.52/12.49  
% 47.52/12.49  % -------------------------------------------------
% 47.52/12.49  % User time                : 32.840 s
% 47.52/12.49  % System time              : 0.853 s
% 47.52/12.49  % Total time               : 33.693 s
% 47.52/12.49  % Maximum resident set size: 4864 pages
% 47.52/12.49  % E exiting
%------------------------------------------------------------------------------