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CSE_E---1.7.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : HWV028-2 : TPTP v9.2.1. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n013.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May  5 04:29:01 PM UTC 2026

% Result   : Unsatisfiable 1.35s 1.75s
% Output   : CNFRefutation 1.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   19 (  13 unt;   3 nHn;  12 RR)
%            Number of literals    :   27 (   6 equ;  10 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :   15 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_12,axiom,
    ( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X1,n1)) = n0
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_12) ).

cnf(axiom_5,axiom,
    fwork_DOTfifo_DOTrtl_DOTlevel_(X1) = fwork_DOTfifo_DOTrtl_DOTint__level_(X1),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_5) ).

cnf(quest_1,negated_conjecture,
    p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_1) ).

cnf(axiom_71,axiom,
    ( p_LES_EQU_(X3,X2)
    | p_LES_EQU_(X1,X3)
    | ~ p_LES_EQU_(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_71) ).

cnf(axiom_75,axiom,
    p_LES_EQU_(X1,X1),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_75) ).

cnf(quest_2,negated_conjecture,
    ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)),fwork_DOTfifo_DOTrtl_DOTfifo__length_),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_2) ).

cnf(quest_3,negated_conjecture,
    ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_3) ).

cnf(c_0_7,axiom,
    ( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X1,n1)) = n0
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1)) ),
    axiom_12 ).

cnf(c_0_8,axiom,
    fwork_DOTfifo_DOTrtl_DOTlevel_(X1) = fwork_DOTfifo_DOTrtl_DOTint__level_(X1),
    axiom_5 ).

cnf(c_0_9,plain,
    ( fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(X1,n1)) = n0
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1)) ),
    inference(rw,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_10,negated_conjecture,
    p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
    quest_1 ).

cnf(c_0_11,axiom,
    ( p_LES_EQU_(X3,X2)
    | p_LES_EQU_(X1,X3)
    | ~ p_LES_EQU_(X1,X2) ),
    axiom_71 ).

cnf(c_0_12,axiom,
    p_LES_EQU_(X1,X1),
    axiom_75 ).

cnf(c_0_13,negated_conjecture,
    ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)),fwork_DOTfifo_DOTrtl_DOTfifo__length_),
    quest_2 ).

cnf(c_0_14,negated_conjecture,
    fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)) = n0,
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_15,negated_conjecture,
    ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0),
    quest_3 ).

cnf(c_0_16,plain,
    ( p_LES_EQU_(X1,X2)
    | p_LES_EQU_(X2,X1) ),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_17,negated_conjecture,
    ~ p_LES_EQU_(n0,fwork_DOTfifo_DOTrtl_DOTfifo__length_),
    inference(rw,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_18,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : HWV028-2 : TPTP v9.2.1. Released v2.5.0.
% 0.00/0.12  % Command    : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33  % Computer : n013.cluster.edu
% 0.16/0.33  % Model    : x86_64 x86_64
% 0.16/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33  % Memory   : 8042.1875MB
% 0.16/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33  % CPULimit   : 300
% 0.16/0.33  % WCLimit    : 300
% 0.16/0.33  % DateTime   : Mon May  4 19:10:56 EDT 2026
% 0.16/0.33  % CPUTime    : 
% 0.16/0.34  % start to proof: theBenchmark
% 1.35/1.75  % Version  : CSE_E---1.7
% 1.35/1.75  % Problem  : theBenchmark.p
% 1.35/1.75  % SZS status Unsatisfiable for theBenchmark.p
% 1.35/1.75  % SZS output start CNFRefutation
% See solution above
% 1.35/1.75  % Total time : 1.372s
%------------------------------------------------------------------------------