TSTP Solution File: SCT105+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SCT105+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n004.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 : Mon Jul 18 21:16:22 EDT 2022

% Result   : Theorem 9.34s 2.80s
% Output   : CNFRefutation 9.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   18
% Syntax   : Number of clauses     :   67 (  12 unt;  36 nHn;  50 RR)
%            Number of literals    :  199 (  42 equ;  98 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;   8 con; 0-4 aty)
%            Number of variables   :   75 (  21 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_368,plain,
    ( hBOOL(hAPP(X1,X2))
    | ~ c_member(X3,X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xwuk097p/lgb.p',i_0_368) ).

cnf(i_0_270,plain,
    c_member(X1,X2,c_Set_Oinsert(X1,X2,X3)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xwuk097p/lgb.p',i_0_270) ).

cnf(i_0_367,plain,
    ( c_member(X1,X2,X3)
    | ~ hBOOL(hAPP(X3,X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xwuk097p/lgb.p',i_0_367) ).

cnf(i_0_257,plain,
    ( c_Set_Oinsert(X1,X2,X3) = X3
    | ~ c_member(X1,X2,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xwuk097p/lgb.p',i_0_257) ).

cnf(i_0_284,plain,
    ( ~ c_Relation_Oirrefl(X1,X2)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X3),X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xwuk097p/lgb.p',i_0_284) ).

cnf(i_0_283,plain,
    ( c_Relation_Oirrefl(X1,X2)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk44_2(X2,X1),esk44_2(X2,X1)),X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xwuk097p/lgb.p',i_0_283) ).

cnf(i_0_31,negated_conjecture,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X1),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X2),v_L) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xwuk097p/lgb.p',i_0_31) ).

cnf(i_0_43,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,esk4_0),v_L)
    | esk2_0 != esk3_0
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk5_0,esk6_0),v_L) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xwuk097p/lgb.p',i_0_43) ).

cnf(i_0_35,negated_conjecture,
    c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xwuk097p/lgb.p',i_0_35) ).

cnf(i_0_27,negated_conjecture,
    ( X1 = X2
    | X3 = X4
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X4,X3),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),v_L) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xwuk097p/lgb.p',i_0_27) ).

cnf(i_0_40,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,esk4_0),v_L)
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk3_0,esk2_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk5_0,esk6_0),v_L) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xwuk097p/lgb.p',i_0_40) ).

cnf(i_0_39,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,esk4_0),v_L)
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk3_0,esk2_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk6_0,esk5_0),v_L) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xwuk097p/lgb.p',i_0_39) ).

cnf(i_0_42,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,esk4_0),v_L)
    | esk2_0 != esk3_0
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk6_0,esk5_0),v_L) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xwuk097p/lgb.p',i_0_42) ).

cnf(i_0_37,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,esk4_0),v_L)
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,esk3_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk5_0,esk6_0),v_L) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xwuk097p/lgb.p',i_0_37) ).

cnf(i_0_41,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,esk4_0),v_L)
    | esk5_0 != esk6_0
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk3_0,esk2_0),v_L) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xwuk097p/lgb.p',i_0_41) ).

cnf(i_0_38,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,esk4_0),v_L)
    | esk5_0 != esk6_0
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,esk3_0),v_L) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xwuk097p/lgb.p',i_0_38) ).

cnf(i_0_36,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,esk4_0),v_L)
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,esk3_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk6_0,esk5_0),v_L) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xwuk097p/lgb.p',i_0_36) ).

cnf(i_0_44,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,esk4_0),v_L)
    | esk2_0 != esk3_0
    | esk5_0 != esk6_0
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xwuk097p/lgb.p',i_0_44) ).

cnf(c_0_387,plain,
    ( hBOOL(hAPP(X1,X2))
    | ~ c_member(X3,X2,X1) ),
    i_0_368 ).

cnf(c_0_388,plain,
    c_member(X1,X2,c_Set_Oinsert(X1,X2,X3)),
    i_0_270 ).

cnf(c_0_389,plain,
    ( c_member(X1,X2,X3)
    | ~ hBOOL(hAPP(X3,X2)) ),
    i_0_367 ).

cnf(c_0_390,plain,
    hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X2)),
    inference(spm,[status(thm)],[c_0_387,c_0_388]) ).

cnf(c_0_391,plain,
    c_member(X1,X2,c_Set_Oinsert(X3,X2,X4)),
    inference(spm,[status(thm)],[c_0_389,c_0_390]) ).

cnf(c_0_392,plain,
    ( c_Set_Oinsert(X1,X2,X3) = X3
    | ~ c_member(X1,X2,X3) ),
    i_0_257 ).

cnf(c_0_393,plain,
    ( ~ c_Relation_Oirrefl(X1,X2)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X3),X2) ),
    i_0_284 ).

cnf(c_0_394,plain,
    ( c_member(X1,X2,X3)
    | ~ c_member(X4,X2,X3) ),
    inference(spm,[status(thm)],[c_0_391,c_0_392]) ).

cnf(c_0_395,plain,
    ( c_Relation_Oirrefl(X1,X2)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk44_2(X2,X1),esk44_2(X2,X1)),X2) ),
    i_0_283 ).

cnf(c_0_396,plain,
    ~ c_Relation_Oirrefl(X1,c_Set_Oinsert(X2,c_Product__Type_OPair(X1,X1,X3,X3),X4)),
    inference(spm,[status(thm)],[c_0_393,c_0_391]) ).

cnf(c_0_397,negated_conjecture,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X1),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X2),v_L) ),
    i_0_31 ).

cnf(c_0_398,plain,
    ( c_Relation_Oirrefl(X1,X2)
    | c_member(X3,c_Product__Type_OPair(X1,X1,esk44_2(X2,X1),esk44_2(X2,X1)),X2) ),
    inference(spm,[status(thm)],[c_0_394,c_0_395]) ).

cnf(c_0_399,plain,
    ( ~ c_Relation_Oirrefl(X1,X2)
    | ~ c_member(X3,c_Product__Type_OPair(X1,X1,X4,X4),X2) ),
    inference(spm,[status(thm)],[c_0_396,c_0_392]) ).

cnf(c_0_400,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,esk4_0),v_L)
    | esk2_0 != esk3_0
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk5_0,esk6_0),v_L) ),
    i_0_43 ).

cnf(c_0_401,negated_conjecture,
    c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L),
    i_0_35 ).

cnf(c_0_402,negated_conjecture,
    ( X1 = X2
    | X3 = X4
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X4,X3),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),v_L) ),
    i_0_27 ).

cnf(c_0_403,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,esk4_0),v_L)
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk3_0,esk2_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk5_0,esk6_0),v_L) ),
    i_0_40 ).

cnf(c_0_404,plain,
    ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X1),v_L),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_397,c_0_398]),c_0_399]) ).

cnf(c_0_405,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,esk4_0),v_L)
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk3_0,esk2_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk6_0,esk5_0),v_L) ),
    i_0_39 ).

cnf(c_0_406,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,esk4_0),v_L)
    | esk2_0 != esk3_0
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk6_0,esk5_0),v_L) ),
    i_0_42 ).

cnf(c_0_407,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,esk4_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,esk1_0),v_L)
    | esk3_0 != esk2_0
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk5_0,esk6_0),v_L) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_400,c_0_401])]) ).

cnf(c_0_408,negated_conjecture,
    ( X1 = X2
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),v_L) ),
    inference(ef,[status(thm)],[c_0_402]) ).

cnf(c_0_409,negated_conjecture,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk3_0,esk2_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk5_0,esk6_0),v_L) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_403,c_0_401])]),c_0_404]),c_0_404]) ).

cnf(c_0_410,negated_conjecture,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk3_0,esk2_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk6_0,esk5_0),v_L) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_405,c_0_401])]),c_0_404]),c_0_404]) ).

cnf(c_0_411,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,esk4_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,esk1_0),v_L)
    | esk3_0 != esk2_0
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk6_0,esk5_0),v_L) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_406,c_0_401])]) ).

cnf(c_0_412,negated_conjecture,
    ( esk5_0 = esk6_0
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk6_0,esk5_0),v_L)
    | esk3_0 != esk2_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_407,c_0_408]),c_0_404]),c_0_404]) ).

cnf(c_0_413,negated_conjecture,
    ( esk5_0 = esk6_0
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk3_0,esk2_0),v_L) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_409,c_0_408]),c_0_410]) ).

cnf(c_0_414,negated_conjecture,
    ( esk5_0 = esk6_0
    | esk3_0 != esk2_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_411,c_0_412]),c_0_404]),c_0_404]) ).

cnf(c_0_415,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,esk4_0),v_L)
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,esk3_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk5_0,esk6_0),v_L) ),
    i_0_37 ).

cnf(c_0_416,negated_conjecture,
    ( esk5_0 = esk6_0
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,esk3_0),v_L) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_413,c_0_408]),c_0_414]) ).

cnf(c_0_417,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,esk4_0),v_L)
    | esk5_0 != esk6_0
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk3_0,esk2_0),v_L) ),
    i_0_41 ).

cnf(c_0_418,negated_conjecture,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,esk3_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk5_0,esk6_0),v_L) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_415,c_0_401])]),c_0_404]),c_0_404]) ).

cnf(c_0_419,plain,
    ( esk5_0 = esk6_0
    | c_member(X1,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,esk3_0),v_L) ),
    inference(spm,[status(thm)],[c_0_394,c_0_416]) ).

cnf(c_0_420,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,esk4_0),v_L)
    | esk5_0 != esk6_0
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,esk3_0),v_L) ),
    i_0_38 ).

cnf(c_0_421,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,esk4_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,esk1_0),v_L)
    | esk5_0 != esk6_0
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk3_0,esk2_0),v_L) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_417,c_0_401])]) ).

cnf(c_0_422,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,esk4_0),v_L)
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,esk3_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk6_0,esk5_0),v_L) ),
    i_0_36 ).

cnf(c_0_423,negated_conjecture,
    ( esk5_0 = esk6_0
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk6_0,esk5_0),v_L) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_418,c_0_408]),c_0_419]) ).

cnf(c_0_424,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,esk4_0),v_L)
    | esk2_0 != esk3_0
    | esk5_0 != esk6_0
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L) ),
    i_0_44 ).

cnf(c_0_425,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,esk4_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,esk1_0),v_L)
    | esk5_0 != esk6_0
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,esk3_0),v_L) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_420,c_0_401])]) ).

cnf(c_0_426,negated_conjecture,
    ( esk3_0 = esk2_0
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,esk3_0),v_L)
    | esk5_0 != esk6_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_421,c_0_408]),c_0_404]),c_0_404]) ).

cnf(c_0_427,negated_conjecture,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,esk3_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk6_0,esk5_0),v_L) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_422,c_0_401])]),c_0_404]),c_0_404]) ).

cnf(c_0_428,plain,
    ( esk5_0 = esk6_0
    | c_member(X1,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk6_0,esk5_0),v_L) ),
    inference(spm,[status(thm)],[c_0_394,c_0_423]) ).

cnf(c_0_429,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,esk4_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,esk1_0),v_L)
    | esk3_0 != esk2_0
    | esk5_0 != esk6_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_424,c_0_401])]) ).

cnf(c_0_430,negated_conjecture,
    ( esk3_0 = esk2_0
    | esk5_0 != esk6_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_425,c_0_426]),c_0_404]),c_0_404]) ).

cnf(c_0_431,negated_conjecture,
    esk5_0 = esk6_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_427,c_0_428]),c_0_419]) ).

cnf(c_0_432,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,esk1_0),v_L)
    | c_member(X1,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,esk4_0),v_L)
    | esk3_0 != esk2_0
    | esk5_0 != esk6_0 ),
    inference(spm,[status(thm)],[c_0_394,c_0_429]) ).

cnf(c_0_433,negated_conjecture,
    esk3_0 = esk2_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_430,c_0_431])]) ).

cnf(c_0_434,plain,
    c_member(X1,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,esk4_0),v_L),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_432,c_0_431])]),c_0_404]),c_0_433])]) ).

cnf(c_0_435,plain,
    $false,
    inference(spm,[status(thm)],[c_0_404,c_0_434]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SCT105+1 : TPTP v8.1.0. Released v5.2.0.
% 0.08/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.14/0.34  % Computer : n004.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Sat Jul  2 02:14:09 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.21/0.46  # ENIGMATIC: Selected SinE mode:
% 0.21/0.49  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.49  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.21/0.49  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.21/0.49  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 9.34/2.80  # ENIGMATIC: Solved by autoschedule-lgb:
% 9.34/2.80  # No SInE strategy applied
% 9.34/2.80  # Trying AutoSched0 for 150 seconds
% 9.34/2.80  # AutoSched0-Mode selected heuristic G_E___300_C18_F1_SE_CS_SP_S0Y
% 9.34/2.80  # and selection function SelectMaxLComplexAvoidPosPred.
% 9.34/2.80  #
% 9.34/2.80  # Preprocessing time       : 0.023 s
% 9.34/2.80  
% 9.34/2.80  # Proof found!
% 9.34/2.80  # SZS status Theorem
% 9.34/2.80  # SZS output start CNFRefutation
% See solution above
% 9.34/2.80  # Training examples: 0 positive, 0 negative
% 9.34/2.80  
% 9.34/2.80  # -------------------------------------------------
% 9.34/2.80  # User time                : 0.070 s
% 9.34/2.80  # System time              : 0.012 s
% 9.34/2.80  # Total time               : 0.083 s
% 9.34/2.80  # Maximum resident set size: 7128 pages
% 9.34/2.80  
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