TSTP Solution File: ALG055+1 by SATCoP---0.1

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : ALG055+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n024.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  : 600s
% DateTime : Thu Jul 14 17:58:26 EDT 2022

% Result   : Theorem 81.63s 10.61s
% Output   : Proof 81.63s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    ( ~ sPE(op(e0,op(e0,e0)),e0)
    | sP0
    | sP1
    | sP2
    | sP3 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).

cnf(g1,plain,
    ( sPE(op(e0,op(e0,e0)),e0)
    | sP0
    | sP1
    | sP2
    | sP3 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).

cnf(g2,plain,
    ( sPE(op(e1,op(e0,e1)),e0)
    | sP4
    | sP5
    | sP6
    | sP7 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).

cnf(g3,plain,
    ( ~ sPE(op(e0,op(e0,e2)),e2)
    | sP8
    | sP9
    | sP10
    | sP11 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).

cnf(g4,plain,
    ( ~ sPE(op(e0,e1),e0)
    | sPE(op(e0,e0),e1)
    | sP20
    | sP21
    | sP22
    | sP23 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).

cnf(g5,plain,
    ( ~ sPE(op(e0,e2),e0)
    | sPE(op(e0,e0),e2)
    | sP20
    | sP21
    | sP22
    | sP23 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).

cnf(g6,plain,
    ( ~ sPE(op(e0,e3),e0)
    | sPE(op(e0,e0),e3)
    | sP20
    | sP21
    | sP22
    | sP23 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).

cnf(g7,plain,
    ( ~ sPE(op(e0,e4),e0)
    | sPE(op(e0,e0),e4)
    | sP20
    | sP21
    | sP22
    | sP23 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).

cnf(g8,plain,
    ( ~ sPE(op(e1,e1),e0)
    | sPE(op(e1,e0),e1)
    | sP20
    | sP21
    | sP22
    | sP23 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).

cnf(g9,plain,
    ( ~ sPE(op(e1,e2),e0)
    | sPE(op(e1,e0),e2)
    | sP20
    | sP21
    | sP22
    | sP23 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).

cnf(g10,plain,
    ( ~ sPE(op(e1,e3),e0)
    | sPE(op(e1,e0),e3)
    | sP20
    | sP21
    | sP22
    | sP23 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).

cnf(g11,plain,
    ( ~ sPE(op(e2,e3),e0)
    | sPE(op(e2,e0),e3)
    | sP20
    | sP21
    | sP22
    | sP23 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).

cnf(g12,plain,
    ( ~ sPE(op(e3,e1),e0)
    | sPE(op(e3,e0),e1)
    | sP20
    | sP21
    | sP22
    | sP23 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).

cnf(g13,plain,
    ( ~ sPE(op(e3,e2),e0)
    | sPE(op(e3,e0),e2)
    | sP20
    | sP21
    | sP22
    | sP23 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).

cnf(g14,plain,
    ( ~ sPE(op(e3,e3),e0)
    | sPE(op(e3,e0),e3)
    | sP20
    | sP21
    | sP22
    | sP23 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).

cnf(g15,plain,
    ( ~ sPE(op(e4,e1),e0)
    | sPE(op(e4,e0),e1)
    | sP20
    | sP21
    | sP22
    | sP23 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).

cnf(g16,plain,
    ( ~ sPE(op(e4,e2),e0)
    | sPE(op(e4,e0),e2)
    | sP20
    | sP21
    | sP22
    | sP23 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).

cnf(g17,plain,
    ( ~ sPE(op(e4,e3),e0)
    | sPE(op(e4,e0),e3)
    | sP20
    | sP21
    | sP22
    | sP23 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).

cnf(g18,plain,
    ( ~ sPE(op(e4,e4),e0)
    | sPE(op(e4,e0),e4)
    | sP20
    | sP21
    | sP22
    | sP23 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).

cnf(g19,plain,
    ( ~ sPE(op(e4,e4),e0)
    | ~ sPE(e0,unit)
    | sP20
    | sP21
    | sP22
    | sP23 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).

cnf(g20,plain,
    ( ~ sPE(op(e3,op(e3,e0)),e0)
    | ~ sP2 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).

cnf(g21,plain,
    ( sPE(op(e0,op(e3,e0)),e3)
    | ~ sP2 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).

cnf(g22,plain,
    ( ~ sPE(op(e2,op(e2,e0)),e0)
    | ~ sP1 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).

cnf(g23,plain,
    ( sPE(op(e0,op(e2,e0)),e2)
    | ~ sP1 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).

cnf(g24,plain,
    ( ~ sPE(op(e0,op(e0,e0)),e0)
    | sPE(e0,op(e0,op(e0,e0))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g25,plain,
    ( ~ sPE(op(e1,op(e1,e0)),e0)
    | ~ sP0 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).

cnf(g26,plain,
    ( sPE(op(e0,op(e1,e0)),e1)
    | ~ sP0 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).

cnf(g27,plain,
    ( ~ sPE(op(e4,op(e4,e0)),e0)
    | ~ sP3 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).

cnf(g28,plain,
    ( sPE(op(e0,op(e4,e0)),e4)
    | ~ sP3 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).

cnf(g29,plain,
    ( ~ sPE(op(e1,op(e1,e1)),e1)
    | ~ sP4 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).

cnf(g30,plain,
    ( sPE(op(e1,op(e1,e1)),e1)
    | ~ sP4 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).

cnf(g31,plain,
    ( ~ sPE(op(e2,op(e2,e1)),e1)
    | ~ sP5 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).

cnf(g32,plain,
    ( ~ sPE(op(e3,op(e3,e1)),e1)
    | ~ sP6 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).

cnf(g33,plain,
    ( sPE(op(e1,op(e4,e1)),e4)
    | ~ sP7 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).

cnf(g34,plain,
    ( sPE(op(e2,op(e4,e2)),e4)
    | ~ sP11 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).

cnf(g35,plain,
    ( sPE(op(e2,op(e3,e2)),e3)
    | ~ sP10 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).

cnf(g36,plain,
    ( sPE(op(e2,op(e2,e2)),e2)
    | ~ sP9 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).

cnf(g37,plain,
    ( sPE(op(e2,op(e1,e2)),e1)
    | ~ sP8 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).

cnf(g38,plain,
    ( sPE(op(e0,e0),e0)
    | sPE(op(e0,e1),e0)
    | sPE(op(e0,e2),e0)
    | sPE(op(e0,e3),e0)
    | sPE(op(e0,e4),e0) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3)]) ).

cnf(g39,plain,
    ( sPE(op(e0,e0),e0)
    | sPE(op(e0,e0),e1)
    | sPE(op(e0,e0),e2)
    | sPE(op(e0,e0),e3)
    | sPE(op(e0,e0),e4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1)]) ).

cnf(g40,plain,
    ( sPE(op(e0,e0),e0)
    | sPE(op(e1,e0),e0)
    | sPE(op(e2,e0),e0)
    | sPE(op(e3,e0),e0)
    | sPE(op(e4,e0),e0) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3)]) ).

cnf(g41,plain,
    ( ~ sPE(unit,e0)
    | sPE(e0,unit) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g42,plain,
    ( ~ sPE(op(e0,e0),e2)
    | sPE(op(e0,e2),e0)
    | ~ sP21 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).

cnf(g43,plain,
    ( ~ sPE(op(e2,e4),e3)
    | sPE(op(e2,e3),e4)
    | ~ sP22 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).

cnf(g44,plain,
    ( ~ sPE(op(e2,e1),e3)
    | sPE(op(e2,e3),e1)
    | ~ sP22 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).

cnf(g45,plain,
    ( ~ sPE(op(e3,e1),e3)
    | sPE(op(e3,e3),e1)
    | ~ sP22 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).

cnf(g46,plain,
    ( ~ sPE(op(e4,e0),e3)
    | sPE(op(e4,e3),e0)
    | ~ sP22 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).

cnf(g47,plain,
    ( ~ sPE(op(e1,e0),e3)
    | sPE(op(e1,e3),e0)
    | ~ sP22 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).

cnf(g48,plain,
    ( ~ sPE(op(e0,e0),e3)
    | sPE(op(e0,e3),e0)
    | ~ sP22 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).

cnf(g49,plain,
    ( ~ sPE(op(e2,e4),e3)
    | ~ sPE(e3,unit)
    | ~ sP22 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).

cnf(g50,plain,
    ( ~ sPE(op(e3,e0),e3)
    | sPE(op(e3,e3),e0)
    | ~ sP22 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).

cnf(g51,plain,
    ( ~ sPE(op(e2,e3),e2)
    | sPE(op(e2,e2),e3)
    | ~ sP21 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).

cnf(g52,plain,
    ( ~ sPE(op(e2,e0),e2)
    | sPE(op(e2,e2),e0)
    | ~ sP21 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).

cnf(g53,plain,
    ( ~ sPE(op(e2,e1),e2)
    | sPE(op(e2,e2),e1)
    | ~ sP21 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).

cnf(g54,plain,
    ( sPE(op(e0,e1),e0)
    | sPE(op(e1,e1),e0)
    | sPE(op(e2,e1),e0)
    | sPE(op(e3,e1),e0)
    | sPE(op(e4,e1),e0) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3)]) ).

cnf(g55,plain,
    ( ~ sPE(op(e0,e0),e2)
    | sPE(e2,op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g56,plain,
    ( ~ sPE(op(e3,e0),e2)
    | sPE(op(e3,e2),e0)
    | ~ sP21 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).

cnf(g57,plain,
    ( ~ sPE(op(e2,e2),e4)
    | sPE(op(e2,e4),e2)
    | ~ sP23 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).

cnf(g58,plain,
    ( sPE(op(e0,e3),e0)
    | sPE(op(e1,e3),e0)
    | sPE(op(e2,e3),e0)
    | sPE(op(e3,e3),e0)
    | sPE(op(e4,e3),e0) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3)]) ).

cnf(g59,plain,
    ( sPE(op(e1,e0),e0)
    | sPE(op(e1,e1),e0)
    | sPE(op(e1,e2),e0)
    | sPE(op(e1,e3),e0)
    | sPE(op(e1,e4),e0) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3)]) ).

cnf(g60,plain,
    ( ~ sPE(op(e1,e0),e1)
    | sPE(op(e1,e1),e0)
    | ~ sP20 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).

cnf(g61,plain,
    ( ~ sPE(e0,op(e1,e0))
    | ~ sPE(op(e1,e0),e2)
    | sPE(e0,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g62,plain,
    ( ~ sPE(op(e1,e0),e2)
    | sPE(e2,op(e1,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g63,plain,
    ( sPE(op(e1,e2),e0)
    | sPE(op(e1,e2),e1)
    | sPE(op(e1,e2),e2)
    | sPE(op(e1,e2),e3)
    | sPE(op(e1,e2),e4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1)]) ).

cnf(g64,plain,
    ( sPE(op(e2,e0),e0)
    | sPE(op(e2,e1),e0)
    | sPE(op(e2,e2),e0)
    | sPE(op(e2,e3),e0)
    | sPE(op(e2,e4),e0) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3)]) ).

cnf(g65,plain,
    ( ~ sPE(op(e2,e0),e1)
    | sPE(op(e2,e1),e0)
    | ~ sP20 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).

cnf(g66,plain,
    ( ~ sPE(op(e1,e0),e1)
    | ~ sPE(e1,unit)
    | ~ sP20 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).

cnf(g67,plain,
    ( ~ sPE(op(e1,e1),e1)
    | ~ sPE(e1,unit)
    | ~ sP20 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).

cnf(g68,plain,
    ( ~ sPE(op(e3,e0),e1)
    | sPE(op(e3,e1),e0)
    | ~ sP20 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).

cnf(g69,plain,
    ( ~ sPE(op(e4,e2),e1)
    | sPE(op(e4,e1),e2)
    | ~ sP20 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).

cnf(g70,plain,
    ( ~ sPE(op(e0,e2),e1)
    | sPE(op(e0,e1),e2)
    | ~ sP20 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).

cnf(g71,plain,
    ( ~ sPE(op(e3,e4),e1)
    | sPE(op(e3,e1),e4)
    | ~ sP20 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).

cnf(g72,plain,
    ( ~ sPE(op(e0,e4),e1)
    | sPE(op(e0,e1),e4)
    | ~ sP20 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).

cnf(g73,plain,
    ( ~ sPE(op(e1,e2),e1)
    | sPE(op(e1,e1),e2)
    | ~ sP20 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).

cnf(g74,plain,
    ( ~ sPE(op(e0,e0),e1)
    | ~ sPE(e1,unit)
    | ~ sP20 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).

cnf(g75,plain,
    ( ~ sPE(op(e2,e3),e1)
    | sPE(op(e2,e1),e3)
    | ~ sP20 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).

cnf(g76,plain,
    ( ~ sPE(op(e2,e4),e1)
    | sPE(op(e2,e1),e4)
    | ~ sP20 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).

cnf(g77,plain,
    ( ~ sPE(op(e1,e4),e1)
    | sPE(op(e1,e1),e4)
    | ~ sP20 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).

cnf(g78,plain,
    ( ~ sPE(op(e1,e3),e1)
    | sPE(op(e1,e1),e3)
    | ~ sP20 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).

cnf(g79,plain,
    ( ~ sPE(op(e4,e0),e1)
    | sPE(op(e4,e1),e0)
    | ~ sP20 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).

cnf(g80,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(e2,e0),e2)
    | sPE(op(e0,op(e2,e0)),op(e0,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g81,plain,
    ( sPE(op(e3,e0),e0)
    | sPE(op(e3,e1),e0)
    | sPE(op(e3,e2),e0)
    | sPE(op(e3,e3),e0)
    | sPE(op(e3,e4),e0) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3)]) ).

cnf(g82,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(e3,e0),e1)
    | sPE(op(e0,op(e3,e0)),op(e0,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g83,plain,
    ( ~ sPE(e0,op(e3,e0))
    | ~ sPE(op(e3,e0),e3)
    | sPE(e0,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g84,plain,
    ( ~ sPE(op(e3,e0),e3)
    | sPE(e3,op(e3,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g85,plain,
    ( sPE(op(e4,e0),e0)
    | sPE(op(e4,e0),e1)
    | sPE(op(e4,e0),e2)
    | sPE(op(e4,e0),e3)
    | sPE(op(e4,e0),e4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1)]) ).

cnf(g86,plain,
    ( sPE(op(e0,e2),e0)
    | sPE(op(e1,e2),e0)
    | sPE(op(e2,e2),e0)
    | sPE(op(e3,e2),e0)
    | sPE(op(e4,e2),e0) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3)]) ).

cnf(g87,plain,
    ( sPE(op(e4,e2),e0)
    | sPE(op(e4,e2),e1)
    | sPE(op(e4,e2),e2)
    | sPE(op(e4,e2),e3)
    | sPE(op(e4,e2),e4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1)]) ).

cnf(g88,plain,
    ( ~ sPE(op(e4,op(e4,e2)),e2)
    | ~ sP11 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).

cnf(g89,plain,
    ( ~ sPE(e0,op(e0,e1))
    | sPE(op(e0,e1),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g90,plain,
    ( ~ sPE(e0,op(e0,e2))
    | sPE(op(e0,e2),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g91,plain,
    ( ~ sPE(e0,op(e0,e0))
    | ~ sPE(op(e0,e0),e4)
    | sPE(e0,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g92,plain,
    ( ~ sPE(op(e0,e0),e4)
    | sPE(e4,op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g93,plain,
    ( ~ sPE(e0,op(e1,e0))
    | ~ sPE(op(e1,e0),e1)
    | sPE(e0,e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g94,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(e1,e0),e1)
    | sPE(op(e0,op(e1,e0)),op(e0,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g95,plain,
    ( ~ sPE(op(e3,e0),e2)
    | sPE(e2,op(e3,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g96,plain,
    ( ~ sPE(op(e4,e0),e3)
    | sPE(e3,op(e4,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g97,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(e0,e0),e1)
    | sPE(op(e0,op(e0,e0)),op(e0,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g98,plain,
    ( ~ sPE(op(e4,e0),e2)
    | sPE(e2,op(e4,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g99,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(e4,e0),e3)
    | sPE(op(e0,op(e4,e0)),op(e0,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g100,plain,
    ( ~ sPE(op(e2,op(e2,e2)),e2)
    | ~ sP9 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).

cnf(g101,plain,
    ( ~ sPE(op(e0,e0),e1)
    | sPE(e1,op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g102,plain,
    ( ~ sPE(e0,op(e1,e0))
    | ~ sPE(op(e1,e0),e4)
    | sPE(e0,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g103,plain,
    ( ~ sPE(op(e1,e0),e4)
    | sPE(e4,op(e1,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g104,plain,
    ( sPE(op(e2,e0),e0)
    | sPE(op(e2,e0),e1)
    | sPE(op(e2,e0),e2)
    | sPE(op(e2,e0),e3)
    | sPE(op(e2,e0),e4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1)]) ).

cnf(g105,plain,
    ( ~ sPE(e0,op(e3,e0))
    | ~ sPE(op(e3,e0),e1)
    | sPE(e0,e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g106,plain,
    ( ~ sPE(e0,op(e3,e0))
    | ~ sPE(op(e3,e0),e4)
    | sPE(e0,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g107,plain,
    ( ~ sPE(op(e3,e0),e4)
    | sPE(e4,op(e3,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g108,plain,
    ( ~ sPE(op(e2,e0),e1)
    | sPE(e1,op(e2,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g109,plain,
    ( ~ sPE(op(e4,e0),e4)
    | sPE(e4,op(e4,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g110,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(e3,e0),e3)
    | sPE(op(e0,op(e3,e0)),op(e0,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g111,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(e2,e0),e1)
    | sPE(op(e0,op(e2,e0)),op(e0,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g112,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(e0,e0),e4)
    | sPE(op(e0,op(e0,e0)),op(e0,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g113,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(e0,e0),e3)
    | sPE(op(e0,op(e0,e0)),op(e0,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g114,plain,
    ( ~ sPE(op(e1,e0),e1)
    | sPE(e1,op(e1,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g115,plain,
    ( ~ sPE(op(e4,e0),e1)
    | sPE(e1,op(e4,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g116,plain,
    ( ~ sPE(e0,op(e0,e0))
    | ~ sPE(op(e0,e0),e2)
    | sPE(e0,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g117,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(e0,e0),e2)
    | sPE(op(e0,op(e0,e0)),op(e0,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g118,plain,
    ( ~ sPE(op(e0,e0),e3)
    | sPE(e3,op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g119,plain,
    ( ~ sPE(e0,op(e3,e0))
    | ~ sPE(op(e3,e0),e2)
    | sPE(e0,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g120,plain,
    ( ~ sPE(op(e2,e0),e3)
    | sPE(e3,op(e2,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g121,plain,
    ( ~ sPE(e0,op(e1,e0))
    | ~ sPE(op(e1,e0),e3)
    | sPE(e0,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g122,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(e1,e0),e3)
    | sPE(op(e0,op(e1,e0)),op(e0,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g123,plain,
    ( ~ sPE(op(e3,e0),e1)
    | sPE(e1,op(e3,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g124,plain,
    ( sPE(op(e1,e0),e0)
    | sPE(op(e1,e0),e1)
    | sPE(op(e1,e0),e2)
    | sPE(op(e1,e0),e3)
    | sPE(op(e1,e0),e4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1)]) ).

cnf(g125,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(e3,e0),e2)
    | sPE(op(e0,op(e3,e0)),op(e0,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g126,plain,
    ( ~ sPE(op(e0,op(e0,e0)),op(e0,e0))
    | ~ sPE(op(e0,e0),e0)
    | sPE(op(e0,op(e0,e0)),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g127,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(e0,e0),e0)
    | sPE(op(e0,op(e0,e0)),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g128,plain,
    ( ~ sPE(e0,op(e0,op(e1,e0)))
    | ~ sPE(op(e0,op(e1,e0)),e1)
    | sPE(e0,e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g129,plain,
    ( sPE(op(e0,e0),e4)
    | sPE(op(e1,e0),e4)
    | sPE(op(e2,e0),e4)
    | sPE(op(e3,e0),e4)
    | sPE(op(e4,e0),e4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3)]) ).

cnf(g130,plain,
    ( ~ sPE(unit,e4)
    | sPE(e4,unit) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g131,plain,
    ( sPE(op(e0,e0),e4)
    | sPE(op(e0,e1),e4)
    | sPE(op(e0,e2),e4)
    | sPE(op(e0,e3),e4)
    | sPE(op(e0,e4),e4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3)]) ).

cnf(g132,plain,
    ( sPE(op(e1,e0),e4)
    | sPE(op(e1,e1),e4)
    | sPE(op(e1,e2),e4)
    | sPE(op(e1,e3),e4)
    | sPE(op(e1,e4),e4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3)]) ).

cnf(g133,plain,
    ( ~ sPE(op(e4,e1),e0)
    | sPE(e0,op(e4,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g134,plain,
    ( sPE(op(e0,e3),e2)
    | sPE(op(e1,e3),e2)
    | sPE(op(e2,e3),e2)
    | sPE(op(e3,e3),e2)
    | sPE(op(e4,e3),e2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3)]) ).

cnf(g135,plain,
    ( sPE(op(e0,e1),e3)
    | sPE(op(e1,e1),e3)
    | sPE(op(e2,e1),e3)
    | sPE(op(e3,e1),e3)
    | sPE(op(e4,e1),e3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3)]) ).

cnf(g136,plain,
    ( sPE(op(e0,e0),e3)
    | sPE(op(e1,e0),e3)
    | sPE(op(e2,e0),e3)
    | sPE(op(e3,e0),e3)
    | sPE(op(e4,e0),e3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3)]) ).

cnf(g137,plain,
    ( ~ sPE(unit,e3)
    | sPE(e3,unit) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g138,plain,
    ( sPE(unit,e0)
    | sPE(unit,e1)
    | sPE(unit,e2)
    | sPE(unit,e3)
    | sPE(unit,e4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2)]) ).

cnf(g139,plain,
    ( ~ sPE(e3,op(e2,e4))
    | sPE(op(e2,e4),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g140,plain,
    ( ~ sPE(op(e0,e1),e0)
    | sPE(e0,op(e0,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g141,plain,
    ( ~ sPE(e0,op(e0,e2))
    | ~ sPE(op(e0,e2),e0)
    | sPE(e0,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g142,plain,
    ( ~ sPE(op(e0,e4),e0)
    | sPE(e0,op(e0,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g143,plain,
    ( ~ sPE(e0,op(e0,e4))
    | ~ sPE(op(e0,e4),e0)
    | sPE(e0,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g144,plain,
    ( sPE(op(e0,e0),e1)
    | sPE(op(e1,e0),e1)
    | sPE(op(e2,e0),e1)
    | sPE(op(e3,e0),e1)
    | sPE(op(e4,e0),e1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3)]) ).

cnf(g145,plain,
    ( ~ sPE(op(e3,e1),e0)
    | sPE(e0,op(e3,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g146,plain,
    ( ~ sPE(op(e1,e1),e0)
    | sPE(e0,op(e1,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g147,plain,
    ( ~ sPE(e0,op(e4,e4))
    | ~ sPE(op(e4,e4),e2)
    | sPE(e0,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g148,plain,
    ( sPE(op(e3,e0),e4)
    | sPE(op(e3,e1),e4)
    | sPE(op(e3,e2),e4)
    | sPE(op(e3,e3),e4)
    | sPE(op(e3,e4),e4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3)]) ).

cnf(g149,plain,
    ( sPE(op(e2,e0),e2)
    | sPE(op(e2,e1),e2)
    | sPE(op(e2,e2),e2)
    | sPE(op(e2,e3),e2)
    | sPE(op(e2,e4),e2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3)]) ).

cnf(g150,plain,
    ( ~ sPE(unit,e2)
    | sPE(e2,unit) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g151,plain,
    ( sPE(op(e4,e0),e2)
    | sPE(op(e4,e1),e2)
    | sPE(op(e4,e2),e2)
    | sPE(op(e4,e3),e2)
    | sPE(op(e4,e4),e2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3)]) ).

cnf(g152,plain,
    ( ~ sPE(op(e2,e2),e0)
    | sPE(e0,op(e2,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g153,plain,
    ( sPE(op(e0,e0),e2)
    | sPE(op(e1,e0),e2)
    | sPE(op(e2,e0),e2)
    | sPE(op(e3,e0),e2)
    | sPE(op(e4,e0),e2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3)]) ).

cnf(g154,plain,
    ( sPE(op(e0,e0),e2)
    | sPE(op(e0,e1),e2)
    | sPE(op(e0,e2),e2)
    | sPE(op(e0,e3),e2)
    | sPE(op(e0,e4),e2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3)]) ).

cnf(g155,plain,
    ( ~ sPE(unit,e1)
    | sPE(e1,unit) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g156,plain,
    ( sPE(op(e2,e0),e1)
    | sPE(op(e2,e1),e1)
    | sPE(op(e2,e2),e1)
    | sPE(op(e2,e3),e1)
    | sPE(op(e2,e4),e1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3)]) ).

cnf(g157,plain,
    ( sPE(op(e0,e2),e1)
    | sPE(op(e1,e2),e1)
    | sPE(op(e2,e2),e1)
    | sPE(op(e3,e2),e1)
    | sPE(op(e4,e2),e1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3)]) ).

cnf(g158,plain,
    ( ~ sPE(e4,op(e2,e2))
    | sPE(op(e2,e2),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g159,plain,
    ( ~ sPE(op(e2,e4),e1)
    | sPE(e1,op(e2,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g160,plain,
    ( sPE(op(e1,e0),e1)
    | sPE(op(e1,e1),e1)
    | sPE(op(e1,e2),e1)
    | sPE(op(e1,e3),e1)
    | sPE(op(e1,e4),e1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3)]) ).

cnf(g161,plain,
    ( sPE(op(e0,e4),e1)
    | sPE(op(e1,e4),e1)
    | sPE(op(e2,e4),e1)
    | sPE(op(e3,e4),e1)
    | sPE(op(e4,e4),e1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3)]) ).

cnf(g162,plain,
    ( sPE(op(e4,e0),e1)
    | sPE(op(e4,e1),e1)
    | sPE(op(e4,e2),e1)
    | sPE(op(e4,e3),e1)
    | sPE(op(e4,e4),e1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3)]) ).

cnf(g163,plain,
    ( ~ sPE(e0,op(e0,e1))
    | ~ sPE(op(e0,e1),e0)
    | sPE(e0,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g164,plain,
    ( ~ sPE(e0,op(e3,e1))
    | ~ sPE(op(e3,e1),e3)
    | sPE(e0,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g165,plain,
    ( ~ sPE(op(e0,e1),e4)
    | sPE(e4,op(e0,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g166,plain,
    ( ~ sPE(e1,op(e4,e0))
    | sPE(op(e4,e0),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g167,plain,
    ( ~ sPE(op(e2,e1),e3)
    | sPE(e3,op(e2,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g168,plain,
    ( ~ sPE(e0,op(e0,e3))
    | ~ sPE(op(e0,e3),e0)
    | sPE(e0,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g169,plain,
    ( ~ sPE(op(e0,e3),e0)
    | sPE(e0,op(e0,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g170,plain,
    ( ~ sPE(op(e4,e4),e0)
    | sPE(e0,op(e4,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g171,plain,
    ( sPE(op(e1,e0),e2)
    | sPE(op(e1,e1),e2)
    | sPE(op(e1,e2),e2)
    | sPE(op(e1,e3),e2)
    | sPE(op(e1,e4),e2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3)]) ).

cnf(g172,plain,
    ( ~ sPE(op(e3,e2),e0)
    | sPE(e0,op(e3,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g173,plain,
    sPE(e0,op(op(e2,e2),op(e2,e2))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6)]) ).

cnf(g174,plain,
    ( ~ sPE(op(e3,e3),e2)
    | sPE(e2,op(e3,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g175,plain,
    ( ~ sPE(e0,op(e0,e3))
    | ~ sPE(op(e0,e3),e1)
    | sPE(e0,e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g176,plain,
    ( ~ sPE(op(e4,e3),e0)
    | sPE(e0,op(e4,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g177,plain,
    ( ~ sPE(op(e1,e3),e0)
    | sPE(e0,op(e1,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g178,plain,
    ( ~ sPE(op(e0,e2),e0)
    | sPE(e0,op(e0,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g179,plain,
    ( ~ sPE(op(e0,e0),e0)
    | sPE(e0,op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g180,plain,
    ( ~ sPE(e0,op(e0,e0))
    | ~ sPE(op(e0,e0),e0)
    | sPE(e0,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g181,plain,
    ( ~ sPE(op(e1,e4),e0)
    | sPE(e0,op(e1,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g182,plain,
    ( ~ sPE(op(e4,e3),e2)
    | sPE(e2,op(e4,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g183,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(e0,e2),e1)
    | sPE(op(e0,op(e0,e2)),op(e0,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g184,plain,
    ( ~ sPE(op(e2,e0),e0)
    | sPE(e0,op(e2,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g185,plain,
    ( ~ sPE(op(e3,e3),e0)
    | sPE(e0,op(e3,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g186,plain,
    ( ~ sPE(op(e1,e0),e0)
    | sPE(e0,op(e1,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g187,plain,
    ( ~ sPE(op(e1,e1),e2)
    | sPE(e2,op(e1,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g188,plain,
    ( ~ sPE(op(e1,e1),e4)
    | sPE(e4,op(e1,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g189,plain,
    ( ~ sPE(op(e2,e3),e4)
    | sPE(e4,op(e2,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g190,plain,
    ( ~ sPE(e0,op(e2,e2))
    | ~ sPE(op(e2,e2),e4)
    | sPE(e0,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g191,plain,
    ( ~ sPE(op(e4,e2),e0)
    | sPE(e0,op(e4,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g192,plain,
    ( ~ sPE(e0,op(e4,e1))
    | ~ sPE(op(e4,e1),e4)
    | sPE(e0,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g193,plain,
    ( ~ sPE(op(e4,e1),e2)
    | sPE(e2,op(e4,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g194,plain,
    ( ~ sPE(e0,op(e4,e4))
    | ~ sPE(op(e4,e4),e1)
    | sPE(e0,e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g195,plain,
    ( ~ sPE(op(e3,e4),e0)
    | sPE(e0,op(e3,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g196,plain,
    ( ~ sPE(op(e1,e2),e2)
    | sPE(e2,op(e1,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g197,plain,
    ( ~ sPE(op(e1,e2),e3)
    | sPE(e3,op(e1,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g198,plain,
    ( ~ sPE(op(e1,e0),e3)
    | sPE(e3,op(e1,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g199,plain,
    ( ~ sPE(e3,op(e1,e0))
    | ~ sPE(op(e1,e0),e0)
    | sPE(e3,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g200,plain,
    ( ~ sPE(op(e2,e3),e1)
    | sPE(e1,op(e2,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g201,plain,
    ( ~ sPE(e0,op(e2,e3))
    | ~ sPE(op(e2,e3),e4)
    | sPE(e0,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g202,plain,
    ( ~ sPE(op(e4,e3),e1)
    | sPE(e1,op(e4,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g203,plain,
    ( ~ sPE(op(e0,e3),e4)
    | sPE(e4,op(e0,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g204,plain,
    ( ~ sPE(e0,op(e3,e2))
    | ~ sPE(op(e3,e2),e4)
    | sPE(e0,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g205,plain,
    ( ~ sPE(op(e1,e2),e0)
    | sPE(e0,op(e1,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g206,plain,
    ( ~ sPE(op(e2,e1),e0)
    | sPE(e0,op(e2,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g207,plain,
    ( ~ sPE(op(e1,e0),e4)
    | ~ sPE(e4,op(e2,e2))
    | sPE(op(e1,e0),op(e2,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g208,plain,
    sPE(e4,op(e2,e2)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6)]) ).

cnf(g209,plain,
    ( ~ sPE(op(e2,e3),e0)
    | sPE(e0,op(e2,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g210,plain,
    ( ~ sPE(e0,op(e2,e0))
    | ~ sPE(op(e2,e0),e1)
    | sPE(e0,e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g211,plain,
    ( ~ sPE(op(e4,e2),e3)
    | sPE(e3,op(e4,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g212,plain,
    ( ~ sPE(op(e2,e1),e2)
    | sPE(e2,op(e2,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g213,plain,
    ( ~ sPE(e0,op(e2,e1))
    | ~ sPE(op(e2,e1),e2)
    | sPE(e0,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g214,plain,
    ( ~ sPE(op(e4,e2),e4)
    | sPE(e4,op(e4,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g215,plain,
    ( ~ sPE(e0,op(e0,e1))
    | ~ sPE(op(e0,e1),e3)
    | sPE(e0,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g216,plain,
    ( ~ sPE(op(e3,e0),e0)
    | sPE(e0,op(e3,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g217,plain,
    ( ~ sPE(e0,op(e3,e3))
    | ~ sPE(op(e3,e3),e1)
    | sPE(e0,e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g218,plain,
    ( ~ sPE(e0,op(e3,e3))
    | ~ sPE(op(e3,e3),e3)
    | sPE(e0,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g219,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(e3,e0),e0)
    | sPE(op(e0,op(e3,e0)),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g220,plain,
    ( ~ sPE(e0,op(e4,e3))
    | ~ sPE(op(e4,e3),e4)
    | sPE(e0,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g221,plain,
    ( ~ sPE(op(e1,e3),e1)
    | sPE(e1,op(e1,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g222,plain,
    ( ~ sPE(e0,op(e1,e3))
    | ~ sPE(op(e1,e3),e1)
    | sPE(e0,e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g223,plain,
    ( ~ sPE(e0,op(e4,e4))
    | ~ sPE(op(e4,e4),e4)
    | sPE(e0,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g224,plain,
    ( ~ sPE(op(e0,op(e3,e0)),e3)
    | sPE(e3,op(e0,op(e3,e0))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g225,plain,
    ( ~ sPE(e4,e0)
    | sPE(e0,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g226,plain,
    ( ~ sPE(op(e1,e1),e3)
    | sPE(e3,op(e1,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g227,plain,
    ( ~ sPE(op(e4,e2),e1)
    | sPE(e1,op(e4,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g228,plain,
    ( ~ sPE(op(e0,e3),e2)
    | sPE(e2,op(e0,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g229,plain,
    ( ~ sPE(op(e0,op(e1,e0)),op(e0,e3))
    | sPE(op(e0,e3),op(e0,op(e1,e0))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g230,plain,
    ( ~ sPE(e0,op(e0,op(e2,e0)))
    | ~ sPE(op(e0,op(e2,e0)),op(e0,e1))
    | sPE(e0,op(e0,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g231,plain,
    ( ~ sPE(op(e2,e1),e1)
    | sPE(e1,op(e2,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g232,plain,
    ( ~ sPE(op(e0,op(e3,e0)),op(e0,e2))
    | ~ sPE(op(e0,e2),e0)
    | sPE(op(e0,op(e3,e0)),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g233,plain,
    ( ~ sPE(op(e4,e2),e2)
    | sPE(e2,op(e4,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g234,plain,
    ( ~ sPE(e0,op(e0,op(e3,e0)))
    | ~ sPE(op(e0,op(e3,e0)),e3)
    | sPE(e0,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g235,plain,
    ( ~ sPE(e0,op(e0,e3))
    | ~ sPE(op(e0,e3),e3)
    | sPE(e0,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g236,plain,
    sPE(e1,op(op(e2,op(e2,e2)),op(e2,e2))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6)]) ).

cnf(g237,plain,
    ( ~ sPE(e2,op(e1,e0))
    | ~ sPE(op(e1,e0),e0)
    | sPE(e2,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g238,plain,
    ( ~ sPE(e0,op(e1,e3))
    | ~ sPE(op(e1,e3),e3)
    | sPE(e0,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g239,plain,
    ( ~ sPE(e4,op(e1,e0))
    | ~ sPE(op(e1,e0),e0)
    | sPE(e4,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g240,plain,
    ( ~ sPE(op(e1,e0),op(e2,e2))
    | sPE(op(e2,e2),op(e1,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g241,plain,
    ( ~ sPE(op(e1,e3),e2)
    | sPE(e2,op(e1,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g242,plain,
    ( ~ sPE(op(e0,e4),e4)
    | sPE(e4,op(e0,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g243,plain,
    sPE(e3,op(e2,op(e2,e2))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6)]) ).

cnf(g244,plain,
    sPE(op(e3,unit),e3),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2)]) ).

cnf(g245,plain,
    ( ~ sPE(e0,op(e0,op(e0,e0)))
    | ~ sPE(op(e0,op(e0,e0)),op(e0,e2))
    | sPE(e0,op(e0,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g246,plain,
    ( ~ sPE(op(e0,op(e0,e0)),op(e0,e4))
    | ~ sPE(op(e0,e4),e0)
    | sPE(op(e0,op(e0,e0)),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g247,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(e4,op(e0,e0))
    | sPE(op(e0,e4),op(e0,op(e0,e0))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g248,plain,
    ( ~ sPE(e4,op(e0,e0))
    | ~ sPE(op(e0,e0),e0)
    | sPE(e4,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g249,plain,
    ( ~ sPE(op(e0,op(e1,e0)),op(e0,e1))
    | sPE(op(e0,e1),op(e0,op(e1,e0))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g250,plain,
    ( ~ sPE(op(e0,op(e1,e0)),op(e0,e1))
    | ~ sPE(op(e0,e1),e0)
    | sPE(op(e0,op(e1,e0)),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g251,plain,
    ( ~ sPE(e1,op(e2,e0))
    | ~ sPE(op(e2,e0),e0)
    | sPE(e1,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g252,plain,
    ( ~ sPE(e0,op(e2,e1))
    | ~ sPE(op(e2,e1),e1)
    | sPE(e0,e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g253,plain,
    ( ~ sPE(op(e3,e2),e1)
    | sPE(e1,op(e3,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g254,plain,
    ( ~ sPE(e1,op(e3,e0))
    | ~ sPE(op(e3,e0),e0)
    | sPE(e1,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g255,plain,
    ( ~ sPE(e2,op(e3,e0))
    | ~ sPE(op(e3,e0),e0)
    | sPE(e2,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g256,plain,
    ( ~ sPE(op(e3,e0),e4)
    | ~ sPE(e4,op(e2,e2))
    | sPE(op(e3,e0),op(e2,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g257,plain,
    ( ~ sPE(op(e0,op(e0,e2)),op(unit,e2))
    | ~ sPE(op(unit,e2),e2)
    | sPE(op(e0,op(e0,e2)),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g258,plain,
    ( ~ sPE(e0,unit)
    | ~ sPE(op(e0,e2),e2)
    | sPE(op(e0,op(e0,e2)),op(unit,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g259,plain,
    sPE(op(unit,e2),e2),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2)]) ).

cnf(g260,plain,
    ( ~ sPE(op(e0,e0),e4)
    | ~ sPE(e4,op(e2,e2))
    | sPE(op(e0,e0),op(e2,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g261,plain,
    ( ~ sPE(op(e0,e0),op(e2,e2))
    | sPE(op(e2,e2),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g262,plain,
    ( ~ sPE(op(e1,e1),e1)
    | sPE(e1,op(e1,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g263,plain,
    ( ~ sPE(op(e3,e1),e1)
    | sPE(e1,op(e3,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g264,plain,
    ( ~ sPE(e3,op(e2,e0))
    | ~ sPE(op(e2,e0),e0)
    | sPE(e3,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g265,plain,
    sPE(op(e4,unit),e4),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2)]) ).

cnf(g266,plain,
    ( ~ sPE(e0,op(e1,e1))
    | ~ sPE(op(e1,e1),e1)
    | sPE(e0,e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g267,plain,
    ( ~ sPE(e0,op(e2,e0))
    | ~ sPE(op(e2,e0),e2)
    | sPE(e0,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g268,plain,
    ( ~ sPE(op(e0,op(e3,e0)),op(e0,e1))
    | ~ sPE(op(e0,e1),e0)
    | sPE(op(e0,op(e3,e0)),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g269,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(e2,op(e4,e0))
    | sPE(op(e0,e2),op(e0,op(e4,e0))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g270,plain,
    ( ~ sPE(e0,op(e0,e2))
    | ~ sPE(op(e0,e2),e2)
    | sPE(e0,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g271,plain,
    ( ~ sPE(op(e0,op(e2,e0)),op(e0,e2))
    | sPE(op(e0,e2),op(e0,op(e2,e0))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g272,plain,
    ( ~ sPE(op(e0,op(e2,e0)),op(e0,e2))
    | ~ sPE(op(e0,e2),e0)
    | sPE(op(e0,op(e2,e0)),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g273,plain,
    ( ~ sPE(op(e2,e2),op(e0,e0))
    | ~ sPE(op(e0,e0),e3)
    | sPE(op(e2,e2),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g274,plain,
    ( ~ sPE(op(e2,e4),op(e0,e0))
    | ~ sPE(op(e0,e0),e4)
    | sPE(op(e2,e4),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g275,plain,
    ( ~ sPE(op(e2,e0),e4)
    | ~ sPE(e4,op(e2,e2))
    | sPE(op(e2,e0),op(e2,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g276,plain,
    ( ~ sPE(e4,op(e3,e0))
    | ~ sPE(op(e3,e0),e0)
    | sPE(e4,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g277,plain,
    ( ~ sPE(op(e3,e0),op(e2,e2))
    | sPE(op(e2,e2),op(e3,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g278,plain,
    ( ~ sPE(op(e0,op(e0,e0)),op(e0,e3))
    | ~ sPE(op(e0,e3),e0)
    | sPE(op(e0,op(e0,e0)),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g279,plain,
    ~ sPE(op(e2,e0),op(e2,e2)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4)]) ).

cnf(g280,plain,
    ~ sPE(op(e4,e0),op(e4,e2)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4)]) ).

cnf(g281,plain,
    ~ sPE(op(e4,e0),op(e4,e3)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4)]) ).

cnf(g282,plain,
    ( ~ sPE(op(e0,e2),op(e0,op(e0,e0)))
    | ~ sPE(op(e0,op(e0,e0)),e0)
    | sPE(op(e0,e2),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g283,plain,
    ( ~ sPE(op(e0,e4),op(e0,op(e0,e0)))
    | ~ sPE(op(e0,op(e0,e0)),e0)
    | sPE(op(e0,e4),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g284,plain,
    ( ~ sPE(e2,op(e0,e0))
    | ~ sPE(op(e0,e0),e0)
    | sPE(e2,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g285,plain,
    ( ~ sPE(op(e0,op(e0,e0)),op(e0,e2))
    | ~ sPE(op(e0,e2),e0)
    | sPE(op(e0,op(e0,e0)),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g286,plain,
    ( ~ sPE(op(e0,op(e0,e0)),op(e0,e2))
    | sPE(op(e0,e2),op(e0,op(e0,e0))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g287,plain,
    ( ~ sPE(e0,op(e3,e2))
    | ~ sPE(op(e3,e2),e2)
    | sPE(e0,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g288,plain,
    sPE(op(e1,unit),e1),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2)]) ).

cnf(g289,plain,
    ( ~ sPE(op(e0,op(e0,e0)),op(e0,e1))
    | ~ sPE(op(e0,e1),e0)
    | sPE(op(e0,op(e0,e0)),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g290,plain,
    ( ~ sPE(e0,op(e0,op(e0,e0)))
    | ~ sPE(op(e0,op(e0,e0)),op(e0,e1))
    | sPE(e0,op(e0,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g291,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(e0,e3)
    | sPE(op(e0,e0),op(e0,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g292,plain,
    ( ~ sPE(e0,e4)
    | ~ sPE(e3,e3)
    | sPE(op(e0,e3),op(e4,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g293,plain,
    ( ~ sPE(op(e4,e0),e4)
    | ~ sPE(e4,op(e4,e2))
    | sPE(op(e4,e0),op(e4,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g294,plain,
    sPE(op(unit,e4),e4),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2)]) ).

cnf(g295,plain,
    ( ~ sPE(op(e2,e2),op(e1,e0))
    | ~ sPE(op(e1,e0),e3)
    | sPE(op(e2,e2),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g296,plain,
    ( ~ sPE(e2,op(e1,e0))
    | ~ sPE(op(e1,e0),e3)
    | sPE(e2,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g297,plain,
    ~ sPE(e2,e3),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5)]) ).

cnf(g298,plain,
    ( ~ sPE(e4,e3)
    | sPE(e3,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g299,plain,
    ( ~ sPE(op(e0,op(e4,e0)),op(e0,e3))
    | sPE(op(e0,e3),op(e0,op(e4,e0))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g300,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(e3,op(e4,e0))
    | sPE(op(e0,e3),op(e0,op(e4,e0))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g301,plain,
    ( ~ sPE(e1,op(e0,e0))
    | ~ sPE(op(e0,e0),e3)
    | sPE(e1,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g302,plain,
    ~ sPE(e1,e3),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5)]) ).

cnf(g303,plain,
    ( ~ sPE(op(e0,op(e0,e2)),op(e0,e1))
    | ~ sPE(op(e0,e1),e2)
    | sPE(op(e0,op(e0,e2)),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g304,plain,
    ( ~ sPE(op(e2,e2),op(e3,e0))
    | ~ sPE(op(e3,e0),e1)
    | sPE(op(e2,e2),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g305,plain,
    ( ~ sPE(e2,op(e4,e0))
    | ~ sPE(op(e4,e0),e3)
    | sPE(e2,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g306,plain,
    ~ sPE(op(e4,e0),op(e4,e4)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4)]) ).

cnf(g307,plain,
    ( ~ sPE(e1,op(e4,e0))
    | ~ sPE(op(e4,e0),e3)
    | sPE(e1,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g308,plain,
    sPE(op(unit,e1),e1),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2)]) ).

cnf(g309,plain,
    ~ sPE(op(e3,e0),op(e3,e3)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4)]) ).

cnf(g310,plain,
    ( ~ sPE(op(e3,e0),e4)
    | ~ sPE(e4,op(e4,e0))
    | sPE(op(e3,e0),op(e4,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g311,plain,
    ~ sPE(op(e3,e0),op(e4,e0)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4)]) ).

cnf(g312,plain,
    ~ sPE(e0,e1),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5)]) ).

cnf(g313,plain,
    ~ sPE(e0,e2),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5)]) ).

cnf(g314,plain,
    ( ~ sPE(op(e1,e0),op(e0,e0))
    | sPE(op(e0,e0),op(e1,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g315,plain,
    ( ~ sPE(e1,e0)
    | sPE(e0,e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g316,plain,
    ( ~ sPE(op(e1,e3),op(e1,unit))
    | ~ sPE(op(e1,unit),e1)
    | sPE(op(e1,e3),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g317,plain,
    ( ~ sPE(e1,e1)
    | ~ sPE(e3,unit)
    | sPE(op(e1,e3),op(e1,unit)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g318,plain,
    sPE(op(unit,e3),e3),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2)]) ).

cnf(g319,plain,
    ( ~ sPE(op(e3,e0),op(e0,e0))
    | sPE(op(e0,e0),op(e3,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g320,plain,
    ~ sPE(op(e0,e2),op(e3,e2)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4)]) ).

cnf(g321,plain,
    ( ~ sPE(op(e1,e1),e1)
    | ~ sPE(e1,op(e0,e0))
    | sPE(op(e1,e1),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g322,plain,
    ( ~ sPE(op(e0,e3),e1)
    | ~ sPE(e1,op(e0,e0))
    | sPE(op(e0,e3),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g323,plain,
    ( ~ sPE(op(e2,e3),e1)
    | ~ sPE(e1,op(e0,e0))
    | sPE(op(e2,e3),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g324,plain,
    ( ~ sPE(op(e0,e2),op(e0,e1))
    | sPE(op(e0,e1),op(e0,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g325,plain,
    ( ~ sPE(op(e0,e1),e0)
    | ~ sPE(e0,op(e0,e2))
    | sPE(op(e0,e1),op(e0,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g326,plain,
    ( ~ sPE(op(e0,e1),e0)
    | ~ sPE(e0,op(e3,e1))
    | sPE(op(e0,e1),op(e3,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g327,plain,
    ~ sPE(op(e3,e1),op(e3,e3)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4)]) ).

cnf(g328,plain,
    ( ~ sPE(op(e2,e0),e2)
    | sPE(e2,op(e2,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g329,plain,
    ( ~ sPE(e2,e1)
    | sPE(e1,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g330,plain,
    ( ~ sPE(e0,op(e3,e4))
    | ~ sPE(op(e3,e4),op(op(e2,op(e2,e2)),op(e2,e2)))
    | sPE(e0,op(op(e2,op(e2,e2)),op(e2,e2))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g331,plain,
    ( ~ sPE(e3,e2)
    | sPE(e2,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g332,plain,
    ( ~ sPE(e3,e0)
    | sPE(e0,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g333,plain,
    ( ~ sPE(e3,e1)
    | sPE(e1,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g334,plain,
    sPE(op(e2,unit),e2),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2)]) ).

cnf(g335,plain,
    ( ~ sPE(op(e0,e3),e0)
    | ~ sPE(e0,op(e1,e3))
    | sPE(op(e0,e3),op(e1,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g336,plain,
    ( ~ sPE(op(e1,e3),op(e0,e3))
    | sPE(op(e0,e3),op(e1,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g337,plain,
    ( ~ sPE(op(e2,e2),op(e4,e1))
    | ~ sPE(op(e4,e1),e1)
    | sPE(op(e2,e2),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g338,plain,
    ( ~ sPE(op(e2,e2),op(e0,e4))
    | ~ sPE(op(e0,e4),e1)
    | sPE(op(e2,e2),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g339,plain,
    ( ~ sPE(op(e2,e2),op(e2,e3))
    | ~ sPE(op(e2,e3),e1)
    | sPE(op(e2,e2),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g340,plain,
    ( ~ sPE(op(e2,e2),op(e1,e1))
    | ~ sPE(op(e1,e1),e1)
    | sPE(op(e2,e2),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g341,plain,
    ( ~ sPE(op(e2,e2),op(e1,e3))
    | ~ sPE(op(e1,e3),e1)
    | sPE(op(e2,e2),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g342,plain,
    ( ~ sPE(op(e1,e3),op(e2,e2))
    | sPE(op(e2,e2),op(e1,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g343,plain,
    ( ~ sPE(op(e1,e1),e0)
    | ~ sPE(e0,op(e1,e2))
    | sPE(op(e1,e1),op(e1,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g344,plain,
    ~ sPE(op(e1,e1),op(e1,e2)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4)]) ).

cnf(g345,plain,
    ( ~ sPE(op(e1,op(e1,e0)),op(e1,e1))
    | ~ sPE(op(e1,e1),e0)
    | sPE(op(e1,op(e1,e0)),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g346,plain,
    ( ~ sPE(e1,e1)
    | ~ sPE(op(e1,e0),e1)
    | sPE(op(e1,op(e1,e0)),op(e1,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g347,plain,
    ( ~ sPE(op(e3,e2),op(e0,e2))
    | sPE(op(e0,e2),op(e3,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g348,plain,
    ( ~ sPE(op(e4,e1),e4)
    | ~ sPE(e4,op(e2,e2))
    | sPE(op(e4,e1),op(e2,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g349,plain,
    ( ~ sPE(op(e4,e1),op(e2,e2))
    | sPE(op(e2,e2),op(e4,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g350,plain,
    ~ sPE(op(e0,e4),op(e4,e4)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4)]) ).

cnf(g351,plain,
    ~ sPE(op(e0,e3),op(e4,e3)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4)]) ).

cnf(g352,plain,
    ( ~ sPE(op(e0,e3),op(e0,e2))
    | sPE(op(e0,e2),op(e0,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g353,plain,
    ( ~ sPE(op(e0,e2),e0)
    | ~ sPE(e0,op(e0,e3))
    | sPE(op(e0,e2),op(e0,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g354,plain,
    ~ sPE(op(e0,e0),op(e0,e3)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4)]) ).

cnf(g355,plain,
    ( ~ sPE(e3,op(e2,op(e2,e2)))
    | ~ sPE(op(e2,op(e2,e2)),e0)
    | sPE(e3,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g356,plain,
    ( ~ sPE(e0,op(e2,op(e2,e2)))
    | sPE(op(e2,op(e2,e2)),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g357,plain,
    ( ~ sPE(e2,e0)
    | sPE(e0,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g358,plain,
    ( ~ sPE(op(e3,e3),op(e3,e1))
    | sPE(op(e3,e1),op(e3,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g359,plain,
    ( ~ sPE(op(e1,e4),op(e1,e1))
    | sPE(op(e1,e1),op(e1,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g360,plain,
    ( ~ sPE(e1,e1)
    | ~ sPE(e1,e4)
    | sPE(op(e1,e1),op(e1,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g361,plain,
    ( ~ sPE(op(e4,op(e4,e0)),op(e4,e4))
    | ~ sPE(op(e4,e4),e0)
    | sPE(op(e4,op(e4,e0)),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g362,plain,
    ( ~ sPE(e4,e4)
    | ~ sPE(op(e4,e0),e4)
    | sPE(op(e4,op(e4,e0)),op(e4,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g363,plain,
    ( ~ sPE(e2,e2)
    | ~ sPE(e1,e2)
    | sPE(op(e2,e1),op(e2,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g364,plain,
    ( ~ sPE(op(e2,e3),op(e2,op(e4,e2)))
    | ~ sPE(op(e2,op(e4,e2)),e4)
    | sPE(op(e2,e3),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g365,plain,
    ( ~ sPE(e2,e2)
    | ~ sPE(e3,op(e4,e2))
    | sPE(op(e2,e3),op(e2,op(e4,e2))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g366,plain,
    ~ sPE(op(e2,e3),op(e3,e3)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4)]) ).

cnf(g367,plain,
    ( ~ sPE(op(e2,e0),op(e2,op(e4,e2)))
    | ~ sPE(op(e2,op(e4,e2)),e4)
    | sPE(op(e2,e0),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g368,plain,
    ( ~ sPE(e2,e2)
    | ~ sPE(e0,op(e4,e2))
    | sPE(op(e2,e0),op(e2,op(e4,e2))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g369,plain,
    ( ~ sPE(op(e2,e2),op(e4,e1))
    | ~ sPE(op(e4,e1),e3)
    | sPE(op(e2,e2),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g370,plain,
    ( ~ sPE(op(e2,e2),op(e2,e4))
    | ~ sPE(op(e2,e4),e3)
    | sPE(op(e2,e2),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g371,plain,
    ( ~ sPE(op(e2,e4),op(e2,e2))
    | sPE(op(e2,e2),op(e2,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g372,plain,
    ( ~ sPE(op(e0,e4),e4)
    | ~ sPE(e4,op(e2,e2))
    | sPE(op(e0,e4),op(e2,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g373,plain,
    ( ~ sPE(op(e0,e4),op(e2,e2))
    | sPE(op(e2,e2),op(e0,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g374,plain,
    ( ~ sPE(op(e1,e0),op(e2,e4))
    | ~ sPE(op(e2,e4),e3)
    | sPE(op(e1,e0),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g375,plain,
    ( ~ sPE(op(e0,e2),e4)
    | ~ sPE(e4,op(e2,e2))
    | sPE(op(e0,e2),op(e2,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g376,plain,
    ( ~ sPE(op(e4,e3),e0)
    | ~ sPE(e0,op(e1,e3))
    | sPE(op(e4,e3),op(e1,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g377,plain,
    ( ~ sPE(e1,op(e1,e3))
    | ~ sPE(op(e1,e3),e0)
    | sPE(e1,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g378,plain,
    ( ~ sPE(op(e0,e3),e0)
    | ~ sPE(e0,op(e3,e3))
    | sPE(op(e0,e3),op(e3,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g379,plain,
    ~ sPE(op(e0,e3),op(e3,e3)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4)]) ).

cnf(g380,plain,
    ( ~ sPE(e3,op(e2,e4))
    | ~ sPE(op(e2,e4),e0)
    | sPE(e3,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g381,plain,
    ( ~ sPE(op(e2,e4),op(unit,e4))
    | ~ sPE(op(unit,e4),e4)
    | sPE(op(e2,e4),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g382,plain,
    ( ~ sPE(e2,unit)
    | ~ sPE(e4,e4)
    | sPE(op(e2,e4),op(unit,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g383,plain,
    ( ~ sPE(op(e1,e2),e0)
    | ~ sPE(e0,op(e3,e2))
    | sPE(op(e1,e2),op(e3,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g384,plain,
    ( ~ sPE(op(e3,e2),op(e1,e2))
    | sPE(op(e1,e2),op(e3,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g385,plain,
    sPE(e2,e2),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g386,plain,
    ( ~ sPE(op(e1,e2),e4)
    | ~ sPE(e4,op(e2,e2))
    | sPE(op(e1,e2),op(e2,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g387,plain,
    ( ~ sPE(op(e0,e0),op(e3,e3))
    | ~ sPE(op(e3,e3),e1)
    | sPE(op(e0,e0),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g388,plain,
    ( ~ sPE(op(e4,e0),op(e3,e4))
    | ~ sPE(op(e3,e4),e1)
    | sPE(op(e4,e0),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g389,plain,
    ( ~ sPE(e2,e4)
    | sPE(e4,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g390,plain,
    ~ sPE(op(e0,e2),op(e2,e2)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4)]) ).

cnf(g391,plain,
    ( ~ sPE(op(e3,op(e3,e0)),op(e3,e2))
    | ~ sPE(op(e3,e2),e0)
    | sPE(op(e3,op(e3,e0)),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g392,plain,
    ( ~ sPE(op(e2,e0),op(e3,e2))
    | ~ sPE(op(e3,e2),e2)
    | sPE(op(e2,e0),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g393,plain,
    ( ~ sPE(e4,op(e2,e2))
    | ~ sPE(op(e2,e2),e3)
    | sPE(e4,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g394,plain,
    ( ~ sPE(op(e0,e3),op(e0,e0))
    | sPE(op(e0,e0),op(e0,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g395,plain,
    ~ sPE(op(e1,e1),op(e4,e1)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4)]) ).

cnf(g396,plain,
    ( ~ sPE(op(e1,e3),e0)
    | ~ sPE(e0,op(e1,e1))
    | sPE(op(e1,e3),op(e1,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g397,plain,
    ( ~ sPE(op(e1,e3),e4)
    | ~ sPE(e4,op(e2,e2))
    | sPE(op(e1,e3),op(e2,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g398,plain,
    ( ~ sPE(op(e1,e3),e0)
    | ~ sPE(e0,op(e0,e3))
    | sPE(op(e1,e3),op(e0,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g399,plain,
    ~ sPE(op(e0,e3),op(e1,e3)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4)]) ).

cnf(g400,plain,
    ( ~ sPE(op(e0,e0),op(e1,e1))
    | ~ sPE(op(e1,e1),e3)
    | sPE(op(e0,e0),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g401,plain,
    sPE(e3,e3),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g402,plain,
    ( ~ sPE(op(e1,e3),e0)
    | ~ sPE(e0,op(e2,e3))
    | sPE(op(e1,e3),op(e2,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g403,plain,
    ( ~ sPE(op(e1,e1),e0)
    | ~ sPE(e0,op(e2,e1))
    | sPE(op(e1,e1),op(e2,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g404,plain,
    ~ sPE(op(e1,e1),op(e2,e1)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4)]) ).

cnf(g405,plain,
    ~ sPE(op(e1,e1),op(e1,e3)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4)]) ).

cnf(g406,plain,
    ( ~ sPE(e1,e1)
    | ~ sPE(e4,e1)
    | sPE(op(e1,e4),op(e1,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g407,plain,
    ( ~ sPE(op(e4,e4),op(e1,e4))
    | sPE(op(e1,e4),op(e4,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g408,plain,
    ( ~ sPE(op(e3,e3),e0)
    | ~ sPE(e0,op(e3,e1))
    | sPE(op(e3,e3),op(e3,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g409,plain,
    ( ~ sPE(op(e1,e3),op(e1,e1))
    | sPE(op(e1,e1),op(e1,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g410,plain,
    ( ~ sPE(e3,e4)
    | ~ sPE(e0,e0)
    | sPE(op(e3,e0),op(e4,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g411,plain,
    ( ~ sPE(op(e1,e1),e0)
    | ~ sPE(e0,op(e3,e1))
    | sPE(op(e1,e1),op(e3,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g412,plain,
    ( ~ sPE(op(e2,e0),op(e1,e3))
    | ~ sPE(op(e1,e3),e2)
    | sPE(op(e2,e0),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g413,plain,
    ( ~ sPE(op(e2,e0),e0)
    | ~ sPE(e0,op(e2,e3))
    | sPE(op(e2,e0),op(e2,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g414,plain,
    ~ sPE(op(e2,e0),op(e2,e4)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4)]) ).

cnf(g415,plain,
    ( ~ sPE(op(e3,e3),e0)
    | ~ sPE(e0,op(e2,e3))
    | sPE(op(e3,e3),op(e2,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g416,plain,
    ( ~ sPE(op(e0,e0),op(e2,e3))
    | ~ sPE(op(e2,e3),e4)
    | sPE(op(e0,e0),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g417,plain,
    ( ~ sPE(op(e1,e1),e4)
    | ~ sPE(e4,op(e2,e2))
    | sPE(op(e1,e1),op(e2,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g418,plain,
    ( ~ sPE(op(e1,e1),op(e2,e2))
    | sPE(op(e2,e2),op(e1,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g419,plain,
    ( ~ sPE(op(e0,e0),op(e1,e3))
    | ~ sPE(op(e1,e3),e3)
    | sPE(op(e0,e0),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g420,plain,
    ( ~ sPE(op(e0,e3),e0)
    | ~ sPE(e0,op(e0,e2))
    | sPE(op(e0,e3),op(e0,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g421,plain,
    ( ~ sPE(op(e4,e4),op(e2,e2))
    | ~ sPE(op(e2,e2),e4)
    | sPE(op(e4,e4),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g422,plain,
    ( ~ sPE(e4,e2)
    | ~ sPE(e4,e2)
    | sPE(op(e4,e4),op(e2,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g423,plain,
    ( ~ sPE(op(e3,e1),op(e3,e0))
    | sPE(op(e3,e0),op(e3,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g424,plain,
    ( ~ sPE(e2,op(e3,e0))
    | ~ sPE(op(e3,e0),e4)
    | sPE(e2,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g425,plain,
    ( ~ sPE(e1,op(e3,e0))
    | ~ sPE(op(e3,e0),e2)
    | sPE(e1,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g426,plain,
    ( ~ sPE(e1,op(op(e2,op(e2,e2)),op(e2,e2)))
    | ~ sPE(op(op(e2,op(e2,e2)),op(e2,e2)),e0)
    | sPE(e1,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g427,plain,
    ( ~ sPE(e0,op(op(e2,op(e2,e2)),op(e2,e2)))
    | sPE(op(op(e2,op(e2,e2)),op(e2,e2)),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g428,plain,
    ( ~ sPE(op(e4,e4),op(unit,e4))
    | ~ sPE(op(unit,e4),e4)
    | sPE(op(e4,e4),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g429,plain,
    ( ~ sPE(e4,unit)
    | ~ sPE(e4,e4)
    | sPE(op(e4,e4),op(unit,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g430,plain,
    ( ~ sPE(e3,op(e2,op(e2,e2)))
    | ~ sPE(e4,op(e2,e2))
    | sPE(op(e3,e4),op(op(e2,op(e2,e2)),op(e2,e2))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g431,plain,
    ( ~ sPE(op(e4,e1),e0)
    | ~ sPE(e0,op(e1,e1))
    | sPE(op(e4,e1),op(e1,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g432,plain,
    ( ~ sPE(op(e4,e1),e0)
    | ~ sPE(e0,op(e4,e4))
    | sPE(op(e4,e1),op(e4,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g433,plain,
    ( ~ sPE(e1,op(e4,e0))
    | ~ sPE(op(e4,e0),e2)
    | sPE(e1,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g434,plain,
    ( ~ sPE(op(e0,e2),op(e0,op(e4,e0)))
    | ~ sPE(op(e0,op(e4,e0)),e4)
    | sPE(op(e0,e2),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g435,plain,
    ( ~ sPE(op(e2,e1),op(e2,op(e4,e2)))
    | ~ sPE(op(e2,op(e4,e2)),e4)
    | sPE(op(e2,e1),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g436,plain,
    ( ~ sPE(e2,e2)
    | ~ sPE(e1,op(e4,e2))
    | sPE(op(e2,e1),op(e2,op(e4,e2))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g437,plain,
    ( ~ sPE(op(e0,e0),op(e2,e4))
    | ~ sPE(op(e2,e4),e1)
    | sPE(op(e0,e0),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g438,plain,
    ( ~ sPE(e4,op(e0,e0))
    | ~ sPE(op(e0,e0),e1)
    | sPE(e4,e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g439,plain,
    ( ~ sPE(e2,op(e0,e0))
    | ~ sPE(op(e0,e0),e1)
    | sPE(e2,e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g440,plain,
    ( ~ sPE(op(e3,e2),e0)
    | ~ sPE(e0,op(e0,e2))
    | sPE(op(e3,e2),op(e0,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g441,plain,
    ( ~ sPE(op(e1,e1),op(e0,e1))
    | sPE(op(e0,e1),op(e1,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g442,plain,
    ( ~ sPE(op(e0,e1),e3)
    | ~ sPE(e3,op(e2,op(e2,e2)))
    | sPE(op(e0,e1),op(e2,op(e2,e2))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g443,plain,
    ( ~ sPE(e4,op(e2,e2))
    | ~ sPE(op(e2,e2),e1)
    | sPE(e4,e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g444,plain,
    ( ~ sPE(op(e2,e1),op(e2,unit))
    | ~ sPE(op(e2,unit),e2)
    | sPE(op(e2,e1),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g445,plain,
    ( ~ sPE(e2,e2)
    | ~ sPE(e1,unit)
    | sPE(op(e2,e1),op(e2,unit)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g446,plain,
    ( ~ sPE(e2,op(e2,e1))
    | ~ sPE(op(e2,e1),e0)
    | sPE(e2,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g447,plain,
    ( ~ sPE(e0,op(op(e2,e2),op(e2,e2)))
    | sPE(op(op(e2,e2),op(e2,e2)),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g448,plain,
    ( ~ sPE(op(e4,e3),op(e4,e0))
    | sPE(op(e4,e0),op(e4,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g449,plain,
    ( ~ sPE(op(e4,e4),op(e0,e4))
    | sPE(op(e0,e4),op(e4,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g450,plain,
    ( ~ sPE(op(e4,e1),op(e4,unit))
    | ~ sPE(op(e4,unit),e4)
    | sPE(op(e4,e1),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g451,plain,
    ( ~ sPE(e4,e4)
    | ~ sPE(e1,unit)
    | sPE(op(e4,e1),op(e4,unit)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g452,plain,
    ( ~ sPE(op(e4,e4),e0)
    | ~ sPE(e0,op(e0,e4))
    | sPE(op(e4,e4),op(e0,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g453,plain,
    ~ sPE(op(e1,e1),op(e3,e1)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4)]) ).

cnf(g454,plain,
    ( ~ sPE(op(e0,e3),op(e0,op(e4,e0)))
    | ~ sPE(op(e0,op(e4,e0)),e4)
    | sPE(op(e0,e3),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g455,plain,
    ( ~ sPE(op(e1,e0),e0)
    | ~ sPE(e0,op(e3,e0))
    | sPE(op(e1,e0),op(e3,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g456,plain,
    ~ sPE(op(e1,e0),op(e3,e0)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4)]) ).

cnf(g457,plain,
    sPE(e4,e4),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g458,plain,
    ( ~ sPE(e3,e3)
    | ~ sPE(op(e3,e0),e2)
    | sPE(op(e3,op(e3,e0)),op(e3,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g459,plain,
    ( ~ sPE(op(e2,e1),e0)
    | ~ sPE(e0,op(e2,e3))
    | sPE(op(e2,e1),op(e2,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g460,plain,
    ( ~ sPE(op(e4,e3),op(e4,unit))
    | ~ sPE(op(e4,unit),e4)
    | sPE(op(e4,e3),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g461,plain,
    ( ~ sPE(e4,e4)
    | ~ sPE(e3,unit)
    | sPE(op(e4,e3),op(e4,unit)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g462,plain,
    ( ~ sPE(op(e2,e3),op(e2,e2))
    | sPE(op(e2,e2),op(e2,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g463,plain,
    ( ~ sPE(op(e2,e1),e4)
    | ~ sPE(e4,op(e2,e2))
    | sPE(op(e2,e1),op(e2,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g464,plain,
    ~ sPE(op(e2,e1),op(e2,e2)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4)]) ).

cnf(g465,plain,
    ( ~ sPE(op(e1,e2),op(e1,op(e4,e1)))
    | ~ sPE(op(e1,op(e4,e1)),e4)
    | sPE(op(e1,e2),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g466,plain,
    ( ~ sPE(e1,e1)
    | ~ sPE(e2,op(e4,e1))
    | sPE(op(e1,e2),op(e1,op(e4,e1))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g467,plain,
    ( ~ sPE(op(e0,e0),op(e2,e4))
    | sPE(op(e2,e4),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g468,plain,
    ( ~ sPE(op(e3,e1),e4)
    | ~ sPE(e4,op(e2,e2))
    | sPE(op(e3,e1),op(e2,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g469,plain,
    ( ~ sPE(op(e3,e1),op(e2,e2))
    | sPE(op(e2,e2),op(e3,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g470,plain,
    ~ sPE(op(e1,e1),op(e1,e4)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4)]) ).

cnf(g471,plain,
    ( ~ sPE(op(e1,e4),op(e2,e2))
    | sPE(op(e2,e2),op(e1,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g472,plain,
    ( ~ sPE(op(e3,e3),op(unit,e3))
    | ~ sPE(op(unit,e3),e3)
    | sPE(op(e3,e3),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g473,plain,
    ( ~ sPE(e3,unit)
    | ~ sPE(e3,e3)
    | sPE(op(e3,e3),op(unit,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g474,plain,
    ( ~ sPE(op(e3,e3),e0)
    | ~ sPE(e0,op(e0,e3))
    | sPE(op(e3,e3),op(e0,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g475,plain,
    sPE(e1,e1),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g476,plain,
    ( ~ sPE(e1,op(e4,e3))
    | ~ sPE(op(e4,e3),e0)
    | sPE(e1,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g477,plain,
    ( ~ sPE(e3,op(e0,op(e3,e0)))
    | ~ sPE(op(e0,op(e3,e0)),e0)
    | sPE(e3,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g478,plain,
    ( ~ sPE(op(e0,e0),op(e0,op(e3,e0)))
    | ~ sPE(op(e0,op(e3,e0)),e3)
    | sPE(op(e0,e0),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g479,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(e0,op(e3,e0))
    | sPE(op(e0,e0),op(e0,op(e3,e0))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g480,plain,
    ( ~ sPE(op(e0,op(e3,e0)),e0)
    | sPE(e0,op(e0,op(e3,e0))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g481,plain,
    ( ~ sPE(op(e1,e4),op(e1,op(e0,e1)))
    | ~ sPE(op(e1,op(e0,e1)),e0)
    | sPE(op(e1,e4),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g482,plain,
    ( ~ sPE(op(e4,op(e4,e2)),op(e4,e2))
    | ~ sPE(op(e4,e2),e2)
    | sPE(op(e4,op(e4,e2)),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g483,plain,
    ( ~ sPE(e4,e4)
    | ~ sPE(op(e4,e2),e2)
    | sPE(op(e4,op(e4,e2)),op(e4,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g484,plain,
    ( ~ sPE(op(e2,op(e2,e2)),op(e2,e1))
    | ~ sPE(op(e2,e1),e2)
    | sPE(op(e2,op(e2,e2)),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g485,plain,
    ( ~ sPE(op(e2,op(e2,e2)),op(e0,e1))
    | ~ sPE(op(e0,e1),e2)
    | sPE(op(e2,op(e2,e2)),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g486,plain,
    ( ~ sPE(op(e2,op(e2,e2)),op(e0,e3))
    | ~ sPE(op(e0,e3),e2)
    | sPE(op(e2,op(e2,e2)),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g487,plain,
    ( ~ sPE(op(e2,op(e2,e2)),op(e2,e4))
    | ~ sPE(op(e2,e4),e2)
    | sPE(op(e2,op(e2,e2)),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g488,plain,
    ( ~ sPE(e3,op(e0,e0))
    | ~ sPE(op(e0,e0),e2)
    | sPE(e3,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g489,plain,
    ( ~ sPE(e4,op(e0,e0))
    | ~ sPE(op(e0,e0),e2)
    | sPE(e4,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g490,plain,
    ( ~ sPE(e1,op(e0,e0))
    | ~ sPE(op(e0,e0),e2)
    | sPE(e1,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g491,plain,
    ( ~ sPE(op(e1,e0),op(e1,unit))
    | ~ sPE(op(e1,unit),e1)
    | sPE(op(e1,e0),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g492,plain,
    ( ~ sPE(e1,e1)
    | ~ sPE(e0,unit)
    | sPE(op(e1,e0),op(e1,unit)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g493,plain,
    ( ~ sPE(e1,op(e1,e1))
    | ~ sPE(op(e1,e1),e0)
    | sPE(e1,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g494,plain,
    ( ~ sPE(e2,op(e1,e1))
    | ~ sPE(op(e1,e1),e0)
    | sPE(e2,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g495,plain,
    ( ~ sPE(e3,op(e1,e1))
    | ~ sPE(op(e1,e1),e0)
    | sPE(e3,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g496,plain,
    ~ sPE(op(e1,e2),op(e2,e2)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4)]) ).

cnf(g497,plain,
    ( ~ sPE(e1,op(e2,e3))
    | ~ sPE(op(e2,e3),e0)
    | sPE(e1,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g498,plain,
    ( ~ sPE(op(e2,e1),op(e2,e0))
    | sPE(op(e2,e0),op(e2,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g499,plain,
    ( ~ sPE(op(e2,e0),e0)
    | ~ sPE(e0,op(e2,e1))
    | sPE(op(e2,e0),op(e2,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g500,plain,
    ( ~ sPE(op(e0,op(e3,e0)),op(e0,e0))
    | sPE(op(e0,e0),op(e0,op(e3,e0))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g501,plain,
    ( ~ sPE(op(e4,e4),e0)
    | ~ sPE(e0,op(e1,e4))
    | sPE(op(e4,e4),op(e1,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g502,plain,
    ~ sPE(op(e2,e1),op(e2,e3)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4)]) ).

cnf(g503,plain,
    ( ~ sPE(op(e3,e0),e0)
    | ~ sPE(e0,op(e0,e0))
    | sPE(op(e3,e0),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g504,plain,
    ( ~ sPE(e1,op(e3,e2))
    | ~ sPE(op(e3,e2),e0)
    | sPE(e1,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g505,plain,
    ~ sPE(op(e3,e0),op(e3,e1)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4)]) ).

cnf(g506,plain,
    ( ~ sPE(op(e2,e1),e0)
    | ~ sPE(e0,op(e2,e0))
    | sPE(op(e2,e1),op(e2,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g507,plain,
    ~ sPE(op(e1,e2),op(e3,e2)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4)]) ).

cnf(g508,plain,
    ( ~ sPE(op(e3,e4),op(e4,e0))
    | sPE(op(e4,e0),op(e3,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g509,plain,
    ( ~ sPE(op(e0,e1),op(e2,op(e2,e2)))
    | sPE(op(e2,op(e2,e2)),op(e0,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g510,plain,
    ( ~ sPE(op(e1,op(e1,e0)),op(e1,e2))
    | ~ sPE(op(e1,e2),e0)
    | sPE(op(e1,op(e1,e0)),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g511,plain,
    ( ~ sPE(op(e3,op(e3,e0)),op(e3,e1))
    | ~ sPE(op(e3,e1),e0)
    | sPE(op(e3,op(e3,e0)),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g512,plain,
    ~ sPE(op(e1,e4),op(e4,e4)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4)]) ).

cnf(g513,plain,
    ( ~ sPE(op(e4,e3),op(e0,e3))
    | sPE(op(e0,e3),op(e4,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g514,plain,
    ( ~ sPE(op(e4,e4),op(op(e2,e2),op(e2,e2)))
    | ~ sPE(op(op(e2,e2),op(e2,e2)),e0)
    | sPE(op(e4,e4),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g515,plain,
    ( ~ sPE(e4,op(e2,e2))
    | ~ sPE(e4,op(e2,e2))
    | sPE(op(e4,e4),op(op(e2,e2),op(e2,e2))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g516,plain,
    ( ~ sPE(e1,e1)
    | ~ sPE(op(e1,e0),e2)
    | sPE(op(e1,op(e1,e0)),op(e1,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g517,plain,
    ( ~ sPE(e2,op(e4,e0))
    | ~ sPE(op(e4,e0),e4)
    | sPE(e2,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g518,plain,
    ( ~ sPE(e1,op(e4,e0))
    | ~ sPE(op(e4,e0),e4)
    | sPE(e1,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g519,plain,
    ( ~ sPE(e3,op(e4,e0))
    | ~ sPE(op(e4,e0),e4)
    | sPE(e3,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g520,plain,
    ( ~ sPE(op(e1,e1),e0)
    | ~ sPE(e0,op(e0,e1))
    | sPE(op(e1,e1),op(e0,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g521,plain,
    ( ~ sPE(op(e0,e2),e0)
    | ~ sPE(e0,op(e0,e1))
    | sPE(op(e0,e2),op(e0,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g522,plain,
    ( ~ sPE(op(e0,op(e1,e0)),e1)
    | sPE(e1,op(e0,op(e1,e0))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g523,plain,
    ( ~ sPE(e1,op(e0,op(e1,e0)))
    | ~ sPE(op(e0,op(e1,e0)),e0)
    | sPE(e1,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g524,plain,
    ( ~ sPE(e3,op(e2,op(e2,e2)))
    | ~ sPE(op(e2,op(e2,e2)),e2)
    | sPE(e3,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g525,plain,
    ( ~ sPE(e4,op(e1,e1))
    | ~ sPE(op(e1,e1),e0)
    | sPE(e4,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g526,plain,
    ( ~ sPE(op(e3,e3),e4)
    | ~ sPE(e4,op(e2,e2))
    | sPE(op(e3,e3),op(e2,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g527,plain,
    ( ~ sPE(op(e3,e3),op(e2,e2))
    | sPE(op(e2,e2),op(e3,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g528,plain,
    ( ~ sPE(op(e3,e1),e0)
    | ~ sPE(e0,op(e4,e1))
    | sPE(op(e3,e1),op(e4,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g529,plain,
    ~ sPE(op(e3,e1),op(e4,e1)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4)]) ).

cnf(g530,plain,
    ~ sPE(op(e0,e2),op(e0,e3)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4)]) ).

cnf(g531,plain,
    ( ~ sPE(op(e0,e3),e3)
    | ~ sPE(e3,op(e2,op(e2,e2)))
    | sPE(op(e0,e3),op(e2,op(e2,e2))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g532,plain,
    ( ~ sPE(op(e0,e3),op(e2,op(e2,e2)))
    | sPE(op(e2,op(e2,e2)),op(e0,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g533,plain,
    ( ~ sPE(op(e0,e1),e0)
    | ~ sPE(e0,op(e2,e1))
    | sPE(op(e0,e1),op(e2,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g534,plain,
    ~ sPE(op(e0,e1),op(e2,e1)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4)]) ).

cnf(g535,plain,
    ~ sPE(op(e2,e0),op(e2,e3)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4)]) ).

cnf(g536,plain,
    ( ~ sPE(op(e2,e0),op(e1,e0))
    | sPE(op(e1,e0),op(e2,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g537,plain,
    ~ sPE(op(e1,e3),op(e4,e3)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4)]) ).

cnf(g538,plain,
    ( ~ sPE(e4,op(e1,e0))
    | ~ sPE(op(e1,e0),e2)
    | sPE(e4,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g539,plain,
    ( ~ sPE(e1,op(e1,e0))
    | ~ sPE(op(e1,e0),e2)
    | sPE(e1,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g540,plain,
    ( ~ sPE(e3,e3)
    | ~ sPE(op(e3,e0),e1)
    | sPE(op(e3,op(e3,e0)),op(e3,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g541,plain,
    ( ~ sPE(op(e1,e3),e0)
    | ~ sPE(e0,op(e3,e3))
    | sPE(op(e1,e3),op(e3,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g542,plain,
    ( ~ sPE(op(e0,e3),op(e0,op(e1,e0)))
    | ~ sPE(op(e0,op(e1,e0)),e1)
    | sPE(op(e0,e3),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g543,plain,
    ~ sPE(op(e1,e3),op(e3,e3)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4)]) ).

cnf(g544,plain,
    ~ sPE(op(e2,e0),op(e2,e1)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4)]) ).

cnf(g545,plain,
    ~ sPE(op(e0,e1),op(e1,e1)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4)]) ).

cnf(g546,plain,
    ( ~ sPE(op(e3,e2),e0)
    | ~ sPE(e0,op(e1,e2))
    | sPE(op(e3,e2),op(e1,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g547,plain,
    ( ~ sPE(op(e4,e0),e0)
    | ~ sPE(e0,op(e4,e4))
    | sPE(op(e4,e0),op(e4,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g548,plain,
    ( ~ sPE(op(e4,e3),e0)
    | ~ sPE(e0,op(e3,e3))
    | sPE(op(e4,e3),op(e3,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g549,plain,
    ( ~ sPE(op(e3,e3),op(e2,e3))
    | sPE(op(e2,e3),op(e3,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g550,plain,
    ( ~ sPE(op(e1,e1),op(e0,e0))
    | sPE(op(e0,e0),op(e1,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g551,plain,
    ( ~ sPE(op(e3,e0),e0)
    | ~ sPE(e0,op(e3,e3))
    | sPE(op(e3,e0),op(e3,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g552,plain,
    ( ~ sPE(op(e3,e3),op(e0,e3))
    | sPE(op(e0,e3),op(e3,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g553,plain,
    ( ~ sPE(op(e1,op(e1,e0)),op(e1,e3))
    | ~ sPE(op(e1,e3),e0)
    | sPE(op(e1,op(e1,e0)),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g554,plain,
    ~ sPE(op(e0,e1),op(e0,e2)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4)]) ).

cnf(g555,plain,
    ~ sPE(op(e1,e3),op(e2,e3)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4)]) ).

cnf(g556,plain,
    ( ~ sPE(e1,op(e1,e0))
    | ~ sPE(op(e1,e0),e4)
    | sPE(e1,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g557,plain,
    ( ~ sPE(e1,op(e1,e0))
    | ~ sPE(op(e1,e0),e3)
    | sPE(e1,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g558,plain,
    ( ~ sPE(e0,op(e0,e1))
    | ~ sPE(op(e0,e1),op(e0,op(e1,e0)))
    | sPE(e0,op(e0,op(e1,e0))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g559,plain,
    ( ~ sPE(op(e2,e0),e1)
    | ~ sPE(e1,op(e1,e3))
    | sPE(op(e2,e0),op(e1,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g560,plain,
    ( ~ sPE(op(e2,e0),e1)
    | ~ sPE(e1,op(e4,e0))
    | sPE(op(e2,e0),op(e4,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g561,plain,
    ( ~ sPE(op(e2,e0),e1)
    | ~ sPE(e1,op(e3,e2))
    | sPE(op(e2,e0),op(e3,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g562,plain,
    ( ~ sPE(op(e2,e0),e1)
    | ~ sPE(e1,op(e1,e0))
    | sPE(op(e2,e0),op(e1,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g563,plain,
    ( ~ sPE(op(e2,e1),e3)
    | ~ sPE(e3,op(e2,op(e2,e2)))
    | sPE(op(e2,e1),op(e2,op(e2,e2))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g564,plain,
    ( ~ sPE(op(e2,e1),op(e2,op(e2,e2)))
    | sPE(op(e2,op(e2,e2)),op(e2,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g565,plain,
    ( ~ sPE(e0,op(e2,e1))
    | ~ sPE(op(e2,e1),op(e2,op(e2,e2)))
    | sPE(e0,op(e2,op(e2,e2))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g566,plain,
    ( ~ sPE(op(e0,e1),op(unit,e1))
    | ~ sPE(op(unit,e1),e1)
    | sPE(op(e0,e1),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g567,plain,
    ( ~ sPE(e0,unit)
    | ~ sPE(e1,e1)
    | sPE(op(e0,e1),op(unit,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g568,plain,
    ( ~ sPE(op(e1,e4),op(unit,e4))
    | ~ sPE(op(unit,e4),e4)
    | sPE(op(e1,e4),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g569,plain,
    ( ~ sPE(e1,unit)
    | ~ sPE(e4,e4)
    | sPE(op(e1,e4),op(unit,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g570,plain,
    ( ~ sPE(op(e1,e0),e3)
    | ~ sPE(e3,op(e3,e0))
    | sPE(op(e1,e0),op(e3,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g571,plain,
    ( ~ sPE(op(e3,e1),e3)
    | ~ sPE(e3,op(e3,e0))
    | sPE(op(e3,e1),op(e3,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g572,plain,
    ( ~ sPE(e3,op(e3,e0))
    | ~ sPE(op(e3,e0),e0)
    | sPE(e3,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g573,plain,
    ( ~ sPE(e3,op(e3,e0))
    | ~ sPE(op(e3,e0),e1)
    | sPE(e3,e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g574,plain,
    ( ~ sPE(e4,op(e3,e0))
    | ~ sPE(op(e3,e0),e3)
    | sPE(e4,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g575,plain,
    ( ~ sPE(e1,op(e3,e0))
    | ~ sPE(op(e3,e0),e3)
    | sPE(e1,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g576,plain,
    ( ~ sPE(e2,op(e3,e0))
    | ~ sPE(op(e3,e0),e3)
    | sPE(e2,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g577,plain,
    ( ~ sPE(op(e4,e3),e0)
    | ~ sPE(e0,op(e0,e3))
    | sPE(op(e4,e3),op(e0,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g578,plain,
    ( ~ sPE(op(e2,e2),op(e2,op(e1,e2)))
    | ~ sPE(op(e2,op(e1,e2)),e1)
    | sPE(op(e2,e2),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g579,plain,
    ( ~ sPE(op(e2,e2),op(e1,e4))
    | ~ sPE(op(e1,e4),e1)
    | sPE(op(e2,e2),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g580,plain,
    ( ~ sPE(op(e2,e2),op(e4,e1))
    | ~ sPE(op(e4,e1),e2)
    | sPE(op(e2,e2),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g581,plain,
    ( ~ sPE(op(e2,e2),op(e1,e4))
    | ~ sPE(op(e1,e4),e2)
    | sPE(op(e2,e2),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g582,plain,
    ( ~ sPE(op(e2,e2),op(e2,e3))
    | ~ sPE(op(e2,e3),e2)
    | sPE(op(e2,e2),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g583,plain,
    ( ~ sPE(op(e3,e4),e4)
    | ~ sPE(e4,op(e4,e0))
    | sPE(op(e3,e4),op(e4,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g584,plain,
    ( ~ sPE(op(e2,e2),op(e3,e1))
    | ~ sPE(op(e3,e1),e1)
    | sPE(op(e2,e2),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g585,plain,
    ( ~ sPE(op(e2,e2),op(e3,e3))
    | ~ sPE(op(e3,e3),e1)
    | sPE(op(e2,e2),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g586,plain,
    ( ~ sPE(op(e1,e2),op(e0,e2))
    | sPE(op(e0,e2),op(e1,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g587,plain,
    ( ~ sPE(op(e3,e2),op(unit,e2))
    | ~ sPE(op(unit,e2),e2)
    | sPE(op(e3,e2),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g588,plain,
    ( ~ sPE(e3,unit)
    | ~ sPE(e2,e2)
    | sPE(op(e3,e2),op(unit,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g589,plain,
    ( ~ sPE(e4,op(e2,e2))
    | ~ sPE(op(e2,e2),e2)
    | sPE(e4,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g590,plain,
    ( ~ sPE(op(e1,e0),e4)
    | ~ sPE(e4,op(e0,e0))
    | sPE(op(e1,e0),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g591,plain,
    ( ~ sPE(e4,op(e2,e2))
    | ~ sPE(op(e2,e2),op(e0,e0))
    | sPE(e4,op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g592,plain,
    ( ~ sPE(op(e2,e2),op(e3,e1))
    | ~ sPE(op(e3,e1),e3)
    | sPE(op(e2,e2),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g593,plain,
    ( ~ sPE(op(e2,e4),e4)
    | ~ sPE(e4,op(e2,e2))
    | sPE(op(e2,e4),op(e2,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g594,plain,
    ~ sPE(op(e2,e0),op(e4,e0)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4)]) ).

cnf(g595,plain,
    ( ~ sPE(op(e0,op(e3,e0)),op(e0,e3))
    | ~ sPE(op(e0,e3),e0)
    | sPE(op(e0,op(e3,e0)),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g596,plain,
    ( ~ sPE(op(e0,op(e2,e0)),e0)
    | sPE(e0,op(e0,op(e2,e0))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g597,plain,
    ( ~ sPE(op(e0,e2),op(e0,op(e2,e0)))
    | ~ sPE(op(e0,op(e2,e0)),e2)
    | sPE(op(e0,e2),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g598,plain,
    ( ~ sPE(op(e0,e0),e3)
    | ~ sPE(e3,op(e2,e4))
    | sPE(op(e0,e0),op(e2,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g599,plain,
    ( ~ sPE(op(e0,e1),e0)
    | ~ sPE(e0,op(e0,e0))
    | sPE(op(e0,e1),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g600,plain,
    ( ~ sPE(op(e2,e0),e3)
    | ~ sPE(e3,op(e2,e4))
    | sPE(op(e2,e0),op(e2,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g601,plain,
    ( ~ sPE(e3,op(e2,op(e2,e2)))
    | ~ sPE(op(e2,op(e2,e2)),op(e2,e4))
    | sPE(e3,op(e2,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g602,plain,
    ( ~ sPE(e2,e2)
    | ~ sPE(op(e2,e2),e4)
    | sPE(op(e2,op(e2,e2)),op(e2,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g603,plain,
    ( ~ sPE(op(e0,e1),e4)
    | ~ sPE(e4,op(e2,e2))
    | sPE(op(e0,e1),op(e2,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g604,plain,
    ( ~ sPE(op(e0,e1),op(e2,e2))
    | sPE(op(e2,e2),op(e0,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g605,plain,
    ( ~ sPE(e4,op(e0,e1))
    | ~ sPE(op(e0,e1),e0)
    | sPE(e4,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g606,plain,
    ( ~ sPE(op(e4,e1),op(e1,e1))
    | sPE(op(e1,e1),op(e4,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g607,plain,
    ( ~ sPE(op(e3,e0),op(e2,e4))
    | ~ sPE(op(e2,e4),e1)
    | sPE(op(e3,e0),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g608,plain,
    ( ~ sPE(op(e2,e2),op(e0,e1))
    | ~ sPE(op(e0,e1),e1)
    | sPE(op(e2,e2),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g609,plain,
    ( ~ sPE(op(e3,e0),op(e2,e1))
    | ~ sPE(op(e2,e1),e1)
    | sPE(op(e3,e0),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g610,plain,
    ( ~ sPE(op(e3,e0),e0)
    | ~ sPE(e0,op(e1,e0))
    | sPE(op(e3,e0),op(e1,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g611,plain,
    ( ~ sPE(op(e1,e2),e0)
    | ~ sPE(e0,op(e0,e2))
    | sPE(op(e1,e2),op(e0,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g612,plain,
    ( ~ sPE(op(e2,e3),op(e0,e0))
    | sPE(op(e0,e0),op(e2,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g613,plain,
    ( ~ sPE(op(e1,e1),op(unit,e1))
    | ~ sPE(op(unit,e1),e1)
    | sPE(op(e1,e1),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g614,plain,
    ( ~ sPE(e1,unit)
    | ~ sPE(e1,e1)
    | sPE(op(e1,e1),op(unit,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g615,plain,
    ( ~ sPE(op(e3,e0),op(e1,e0))
    | sPE(op(e1,e0),op(e3,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g616,plain,
    ( ~ sPE(e2,e2)
    | ~ sPE(op(e2,e0),e0)
    | sPE(op(e2,op(e2,e0)),op(e2,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g617,plain,
    ( ~ sPE(op(e2,op(e2,e0)),op(e2,e0))
    | ~ sPE(op(e2,e0),e0)
    | sPE(op(e2,op(e2,e0)),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g618,plain,
    ( ~ sPE(op(e2,e0),op(e4,e1))
    | ~ sPE(op(e4,e1),e3)
    | sPE(op(e2,e0),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g619,plain,
    ( ~ sPE(op(e2,e0),op(e2,op(e3,e2)))
    | ~ sPE(op(e2,op(e3,e2)),e3)
    | sPE(op(e2,e0),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g620,plain,
    ( ~ sPE(e2,e2)
    | ~ sPE(e0,op(e3,e2))
    | sPE(op(e2,e0),op(e2,op(e3,e2))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g621,plain,
    ~ sPE(op(e0,e1),op(e3,e1)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4)]) ).

cnf(g622,plain,
    ( ~ sPE(e1,e1)
    | ~ sPE(op(e1,e0),e3)
    | sPE(op(e1,op(e1,e0)),op(e1,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g623,plain,
    ( ~ sPE(op(e3,op(e3,e0)),op(e3,e3))
    | ~ sPE(op(e3,e3),e0)
    | sPE(op(e3,op(e3,e0)),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g624,plain,
    ( ~ sPE(e3,e3)
    | ~ sPE(op(e3,e0),e3)
    | sPE(op(e3,op(e3,e0)),op(e3,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g625,plain,
    ( ~ sPE(op(e4,e3),op(e1,e3))
    | sPE(op(e1,e3),op(e4,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g626,plain,
    ( ~ sPE(op(e1,e1),e3)
    | ~ sPE(e3,op(e2,op(e2,e2)))
    | sPE(op(e1,e1),op(e2,op(e2,e2))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g627,plain,
    ( ~ sPE(op(e1,e1),op(e2,op(e2,e2)))
    | sPE(op(e2,op(e2,e2)),op(e1,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g628,plain,
    ( ~ sPE(e4,op(e2,e3))
    | ~ sPE(op(e2,e3),e0)
    | sPE(e4,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g629,plain,
    ( ~ sPE(op(e2,e3),e4)
    | ~ sPE(e4,op(e2,e2))
    | sPE(op(e2,e3),op(e2,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g630,plain,
    ( ~ sPE(op(e0,e3),e4)
    | ~ sPE(e4,op(e2,e2))
    | sPE(op(e0,e3),op(e2,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g631,plain,
    ( ~ sPE(op(e0,e3),op(e2,e2))
    | sPE(op(e2,e2),op(e0,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g632,plain,
    ( ~ sPE(e4,op(e0,e3))
    | ~ sPE(op(e0,e3),e0)
    | sPE(e4,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g633,plain,
    ( ~ sPE(op(e3,e3),e0)
    | ~ sPE(e0,op(e4,e3))
    | sPE(op(e3,e3),op(e4,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g634,plain,
    ~ sPE(op(e3,e3),op(e4,e3)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4)]) ).

cnf(g635,plain,
    ( ~ sPE(e2,op(e4,e3))
    | ~ sPE(op(e4,e3),e0)
    | sPE(e2,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g636,plain,
    ( ~ sPE(op(e2,e2),op(e1,e1))
    | ~ sPE(op(e1,e1),e3)
    | sPE(op(e2,e2),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g637,plain,
    ( ~ sPE(op(e2,e2),op(e1,e3))
    | ~ sPE(op(e1,e3),e3)
    | sPE(op(e2,e2),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g638,plain,
    ( ~ sPE(op(e1,e4),e4)
    | ~ sPE(e4,op(e2,e2))
    | sPE(op(e1,e4),op(e2,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g639,plain,
    ~ sPE(op(e4,e1),op(e4,e4)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4)]) ).

cnf(g640,plain,
    ( ~ sPE(op(e2,e2),op(e0,e3))
    | ~ sPE(op(e0,e3),e3)
    | sPE(op(e2,e2),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g641,plain,
    ( ~ sPE(op(e3,e0),op(e3,unit))
    | ~ sPE(op(e3,unit),e3)
    | sPE(op(e3,e0),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g642,plain,
    ( ~ sPE(e3,e3)
    | ~ sPE(e0,unit)
    | sPE(op(e3,e0),op(e3,unit)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g643,plain,
    ~ sPE(op(e0,e2),op(e1,e2)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4)]) ).

cnf(g644,plain,
    ( ~ sPE(op(e0,e1),op(e0,e0))
    | sPE(op(e0,e0),op(e0,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g645,plain,
    ( ~ sPE(op(e3,e1),op(e3,unit))
    | ~ sPE(op(e3,unit),e3)
    | sPE(op(e3,e1),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g646,plain,
    ( ~ sPE(e3,e3)
    | ~ sPE(e1,unit)
    | sPE(op(e3,e1),op(e3,unit)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g647,plain,
    ( ~ sPE(op(e0,e3),op(unit,e3))
    | ~ sPE(op(unit,e3),e3)
    | sPE(op(e0,e3),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g648,plain,
    ( ~ sPE(e0,unit)
    | ~ sPE(e3,e3)
    | sPE(op(e0,e3),op(unit,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g649,plain,
    ( ~ sPE(op(e4,e3),op(e3,e3))
    | sPE(op(e3,e3),op(e4,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g650,plain,
    ( ~ sPE(op(e1,e3),op(unit,e3))
    | ~ sPE(op(unit,e3),e3)
    | sPE(op(e1,e3),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g651,plain,
    ( ~ sPE(e1,unit)
    | ~ sPE(e3,e3)
    | sPE(op(e1,e3),op(unit,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g652,plain,
    ( ~ sPE(op(e3,e3),op(e3,unit))
    | ~ sPE(op(e3,unit),e3)
    | sPE(op(e3,e3),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g653,plain,
    ( ~ sPE(e3,e3)
    | ~ sPE(e3,unit)
    | sPE(op(e3,e3),op(e3,unit)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g654,plain,
    ~ sPE(op(e0,e0),op(e0,e1)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4)]) ).

cnf(g655,plain,
    ( ~ sPE(op(e0,e0),e0)
    | ~ sPE(e0,op(e2,e0))
    | sPE(op(e0,e0),op(e2,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g656,plain,
    ~ sPE(op(e0,e0),op(e2,e0)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4)]) ).

cnf(g657,plain,
    ( ~ sPE(op(e1,e0),e0)
    | ~ sPE(e0,op(e0,e0))
    | sPE(op(e1,e0),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g658,plain,
    ( ~ sPE(op(e1,e0),op(e0,e1))
    | ~ sPE(op(e0,e1),e2)
    | sPE(op(e1,e0),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g659,plain,
    ( ~ sPE(op(e1,e0),op(e2,e0))
    | ~ sPE(op(e2,e0),e2)
    | sPE(op(e1,e0),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g660,plain,
    ( ~ sPE(e1,op(e3,e1))
    | ~ sPE(op(e3,e1),e0)
    | sPE(e1,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g661,plain,
    ~ sPE(op(e0,e0),op(e1,e0)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4)]) ).

cnf(g662,plain,
    ( ~ sPE(op(e2,op(e2,e0)),op(e2,e1))
    | ~ sPE(op(e2,e1),e0)
    | sPE(op(e2,op(e2,e0)),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g663,plain,
    ( ~ sPE(op(e1,op(e0,e1)),op(e1,e4))
    | sPE(op(e1,e4),op(e1,op(e0,e1))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g664,plain,
    ( ~ sPE(e1,e1)
    | ~ sPE(op(e0,e1),e4)
    | sPE(op(e1,op(e0,e1)),op(e1,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g665,plain,
    ~ sPE(op(e0,e0),op(e3,e0)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4)]) ).

cnf(g666,plain,
    ( ~ sPE(op(e1,e0),e2)
    | ~ sPE(e2,op(e4,e2))
    | sPE(op(e1,e0),op(e4,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g667,plain,
    ( ~ sPE(e2,op(e2,e0))
    | ~ sPE(op(e2,e0),e0)
    | sPE(e2,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g668,plain,
    ( ~ sPE(op(e3,e0),e3)
    | ~ sPE(e3,op(e2,e1))
    | sPE(op(e3,e0),op(e2,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g669,plain,
    ( ~ sPE(op(e3,e0),e3)
    | ~ sPE(e3,op(e2,e4))
    | sPE(op(e3,e0),op(e2,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g670,plain,
    ( ~ sPE(op(e1,e0),e1)
    | ~ sPE(e1,op(e2,e4))
    | sPE(op(e1,e0),op(e2,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g671,plain,
    ( ~ sPE(op(e1,e0),op(e4,e2))
    | ~ sPE(op(e4,e2),e1)
    | sPE(op(e1,e0),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g672,plain,
    ( ~ sPE(op(e2,e3),op(e2,op(e1,e2)))
    | ~ sPE(op(e2,op(e1,e2)),e1)
    | sPE(op(e2,e3),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g673,plain,
    ( ~ sPE(e2,e2)
    | ~ sPE(e3,op(e1,e2))
    | sPE(op(e2,e3),op(e2,op(e1,e2))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g674,plain,
    ( ~ sPE(e1,op(e2,e1))
    | ~ sPE(op(e2,e1),e0)
    | sPE(e1,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g675,plain,
    ( ~ sPE(e2,e2)
    | ~ sPE(e2,op(e1,e2))
    | sPE(op(e2,e2),op(e2,op(e1,e2))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g676,plain,
    ( ~ sPE(e2,op(e1,e2))
    | ~ sPE(op(e1,e2),e0)
    | sPE(e2,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g677,plain,
    ( ~ sPE(e4,op(e1,e0))
    | ~ sPE(op(e1,e0),e3)
    | sPE(e4,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g678,plain,
    ( ~ sPE(op(e2,e0),e2)
    | ~ sPE(e2,op(e2,e1))
    | sPE(op(e2,e0),op(e2,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g679,plain,
    ( ~ sPE(op(e2,e0),e2)
    | ~ sPE(e2,op(e4,e0))
    | sPE(op(e2,e0),op(e4,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g680,plain,
    ( ~ sPE(op(e2,e0),e2)
    | ~ sPE(e2,op(e4,e1))
    | sPE(op(e2,e0),op(e4,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g681,plain,
    ( ~ sPE(e1,op(e2,e0))
    | ~ sPE(op(e2,e0),e2)
    | sPE(e1,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g682,plain,
    ( ~ sPE(op(e3,e1),op(unit,e1))
    | ~ sPE(op(unit,e1),e1)
    | sPE(op(e3,e1),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g683,plain,
    ( ~ sPE(e3,unit)
    | ~ sPE(e1,e1)
    | sPE(op(e3,e1),op(unit,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g684,plain,
    ( ~ sPE(op(e4,e0),op(e0,e4))
    | ~ sPE(op(e0,e4),e2)
    | sPE(op(e4,e0),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g685,plain,
    ( ~ sPE(op(e3,op(e3,e1)),op(unit,e1))
    | ~ sPE(op(unit,e1),e1)
    | sPE(op(e3,op(e3,e1)),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g686,plain,
    ( ~ sPE(e3,unit)
    | ~ sPE(op(e3,e1),e1)
    | sPE(op(e3,op(e3,e1)),op(unit,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g687,plain,
    ( ~ sPE(op(e4,e3),e4)
    | ~ sPE(e4,op(e4,e0))
    | sPE(op(e4,e3),op(e4,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g688,plain,
    ( ~ sPE(op(e4,e0),e4)
    | ~ sPE(e4,op(e0,e4))
    | sPE(op(e4,e0),op(e0,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g689,plain,
    ( ~ sPE(e2,e2)
    | ~ sPE(op(e2,e0),e1)
    | sPE(op(e2,op(e2,e0)),op(e2,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g690,plain,
    ( ~ sPE(op(e0,e0),e2)
    | ~ sPE(e2,op(e0,e3))
    | sPE(op(e0,e0),op(e0,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g691,plain,
    ( ~ sPE(e2,op(e1,e0))
    | ~ sPE(op(e1,e0),e4)
    | sPE(e2,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g692,plain,
    ( ~ sPE(op(e1,e0),e4)
    | ~ sPE(e4,op(e0,e1))
    | sPE(op(e1,e0),op(e0,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g693,plain,
    ( ~ sPE(e3,e3)
    | ~ sPE(op(e3,e0),e0)
    | sPE(op(e3,op(e3,e0)),op(e3,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g694,plain,
    ( ~ sPE(op(e3,op(e3,e0)),op(e3,e0))
    | ~ sPE(op(e3,e0),e0)
    | sPE(op(e3,op(e3,e0)),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g695,plain,
    ( ~ sPE(op(e2,op(e2,e2)),op(e1,e1))
    | ~ sPE(op(e1,e1),e2)
    | sPE(op(e2,op(e2,e2)),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g696,plain,
    ( ~ sPE(op(e0,e0),e2)
    | ~ sPE(e2,op(e1,e3))
    | sPE(op(e0,e0),op(e1,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g697,plain,
    ( ~ sPE(op(e0,e0),e2)
    | ~ sPE(e2,op(e3,e3))
    | sPE(op(e0,e0),op(e3,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g698,plain,
    ( ~ sPE(e2,e2)
    | ~ sPE(op(e2,e1),e0)
    | sPE(op(e2,op(e2,e1)),op(e2,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g699,plain,
    ( ~ sPE(op(e2,op(e2,e1)),op(e2,e0))
    | ~ sPE(op(e2,e0),e1)
    | sPE(op(e2,op(e2,e1)),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : ALG055+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.12  % Command  : satcop --statistics %s
% 0.12/0.33  % Computer : n024.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  : 600
% 0.12/0.33  % DateTime : Wed Jun  8 19:45:19 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 81.63/10.61  % symbols: 33
% 81.63/10.61  % clauses: 479
% 81.63/10.61  % start clauses: 55
% 81.63/10.61  % iterative deepening steps: 568
% 81.63/10.61  % maximum path limit: 3
% 81.63/10.61  % literal attempts: 11722657
% 81.63/10.61  % depth failures: 8716245
% 81.63/10.61  % regularity failures: 1243152
% 81.63/10.61  % tautology failures: 252150
% 81.63/10.61  % reductions: 87432
% 81.63/10.61  % extensions: 11604948
% 81.63/10.61  % SAT variables: 47475
% 81.63/10.61  % SAT clauses: 112537
% 81.63/10.61  % WalkSAT solutions: 109431
% 81.63/10.61  % CDCL solutions: 3103
% 81.63/10.61  % SZS status Theorem for theBenchmark
% 81.63/10.61  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------