TSTP Solution File: SCT120+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SCT120+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 21:16:26 EDT 2022

% Result   : Theorem 9.15s 2.70s
% Output   : CNFRefutation 9.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   19
% Syntax   : Number of clauses     :   59 (  27 unt;   9 nHn;  34 RR)
%            Number of literals    :  121 (  17 equ;  56 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :   21 (  21 usr;   6 con; 0-4 aty)
%            Number of variables   :  121 (  37 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_349,plain,
    ( hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4))
    | X2 != X4 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xegglyp1/lgb.p',i_0_349) ).

cnf(i_0_440,plain,
    ( c_member(X1,X2,X3)
    | ~ hBOOL(hAPP(X3,X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xegglyp1/lgb.p',i_0_440) ).

cnf(i_0_441,plain,
    ( hBOOL(hAPP(X1,X2))
    | ~ c_member(X3,X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xegglyp1/lgb.p',i_0_441) ).

cnf(i_0_34,hypothesis,
    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,v_a,v_b),v_F(v_P)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xegglyp1/lgb.p',i_0_34) ).

cnf(i_0_405,plain,
    ( ~ c_Relation_Oirrefl(X1,X2)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X3),X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xegglyp1/lgb.p',i_0_405) ).

cnf(i_0_179,plain,
    ( X1 = X2
    | ~ c_member(X3,X1,c_fequal(X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xegglyp1/lgb.p',i_0_179) ).

cnf(i_0_404,plain,
    ( c_Relation_Oirrefl(X1,X2)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk45_2(X2,X1),esk45_2(X2,X1)),X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xegglyp1/lgb.p',i_0_404) ).

cnf(i_0_29,hypothesis,
    ( c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(X1))
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X1,esk1_1(X1)))
    | ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X1,esk2_1(X1)))
    | ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(X1,esk3_1(X1))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xegglyp1/lgb.p',i_0_29) ).

cnf(i_0_31,hypothesis,
    c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,X1)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xegglyp1/lgb.p',i_0_31) ).

cnf(i_0_32,hypothesis,
    c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X1)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xegglyp1/lgb.p',i_0_32) ).

cnf(i_0_33,hypothesis,
    c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X1)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xegglyp1/lgb.p',i_0_33) ).

cnf(i_0_648,plain,
    hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)),X2)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xegglyp1/lgb.p',i_0_648) ).

cnf(i_0_345,plain,
    ( c_Set_Oinsert(X1,X2,X3) = X3
    | ~ c_member(X1,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xegglyp1/lgb.p',i_0_345) ).

cnf(i_0_682,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4)
    | ~ c_Relation_Otrans(X1,X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xegglyp1/lgb.p',i_0_682) ).

cnf(i_0_28,hypothesis,
    ( c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(X1))
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X1,esk1_1(X1)))
    | ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X1,esk2_1(X1)))
    | ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(X1,esk3_1(X1))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xegglyp1/lgb.p',i_0_28) ).

cnf(i_0_656,plain,
    ( X1 = X2
    | c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X2,X1),X4)
    | c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X1,X2),X4)
    | ~ c_Relation_Ototal__on(X3,X5,X4)
    | ~ c_member(X3,X2,X5)
    | ~ c_member(X3,X1,X5) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xegglyp1/lgb.p',i_0_656) ).

cnf(i_0_30,hypothesis,
    ( 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_F(X3))
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X3,esk4_1(X3)))
    | ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X3,esk5_1(X3)))
    | ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(X3,esk6_1(X3)))
    | ~ 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),hAPP(X3,v_i)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xegglyp1/lgb.p',i_0_30) ).

cnf(i_0_178,plain,
    ( c_member(X1,X2,c_fequal(X3))
    | X2 != X3 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xegglyp1/lgb.p',i_0_178) ).

cnf(i_0_35,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,v_a,v_b),hAPP(v_P,v_i)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xegglyp1/lgb.p',i_0_35) ).

cnf(c_0_702,plain,
    ( hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4))
    | X2 != X4 ),
    i_0_349 ).

cnf(c_0_703,plain,
    ( c_member(X1,X2,X3)
    | ~ hBOOL(hAPP(X3,X2)) ),
    i_0_440 ).

cnf(c_0_704,plain,
    hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X2)),
    inference(er,[status(thm)],[c_0_702]) ).

cnf(c_0_705,plain,
    ( hBOOL(hAPP(X1,X2))
    | ~ c_member(X3,X2,X1) ),
    i_0_441 ).

cnf(c_0_706,hypothesis,
    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,v_a,v_b),v_F(v_P)),
    i_0_34 ).

cnf(c_0_707,plain,
    ( ~ c_Relation_Oirrefl(X1,X2)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X3),X2) ),
    i_0_405 ).

cnf(c_0_708,plain,
    c_member(X1,X2,c_Set_Oinsert(X3,X2,X4)),
    inference(spm,[status(thm)],[c_0_703,c_0_704]) ).

cnf(c_0_709,plain,
    ( X1 = X2
    | ~ c_member(X3,X1,c_fequal(X2)) ),
    i_0_179 ).

cnf(c_0_710,plain,
    ( c_Relation_Oirrefl(X1,X2)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk45_2(X2,X1),esk45_2(X2,X1)),X2) ),
    i_0_404 ).

cnf(c_0_711,hypothesis,
    hBOOL(hAPP(v_F(v_P),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,v_b))),
    inference(spm,[status(thm)],[c_0_705,c_0_706]) ).

cnf(c_0_712,hypothesis,
    ( c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(X1))
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X1,esk1_1(X1)))
    | ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X1,esk2_1(X1)))
    | ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(X1,esk3_1(X1))) ),
    i_0_29 ).

cnf(c_0_713,hypothesis,
    c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,X1)),
    i_0_31 ).

cnf(c_0_714,hypothesis,
    c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X1)),
    i_0_32 ).

cnf(c_0_715,hypothesis,
    c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X1)),
    i_0_33 ).

cnf(c_0_716,plain,
    hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)),X2)),
    i_0_648 ).

cnf(c_0_717,plain,
    ~ c_Relation_Oirrefl(X1,c_Set_Oinsert(X2,c_Product__Type_OPair(X1,X1,X3,X3),X4)),
    inference(spm,[status(thm)],[c_0_707,c_0_708]) ).

cnf(c_0_718,plain,
    ( c_Product__Type_OPair(X1,X1,esk45_2(c_fequal(X2),X1),esk45_2(c_fequal(X2),X1)) = X2
    | c_Relation_Oirrefl(X1,c_fequal(X2)) ),
    inference(spm,[status(thm)],[c_0_709,c_0_710]) ).

cnf(c_0_719,plain,
    ( c_Set_Oinsert(X1,X2,X3) = X3
    | ~ c_member(X1,X2,X3) ),
    i_0_345 ).

cnf(c_0_720,plain,
    c_member(X1,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,v_b),v_F(v_P)),
    inference(spm,[status(thm)],[c_0_703,c_0_711]) ).

cnf(c_0_721,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4)
    | ~ c_Relation_Otrans(X1,X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),X4) ),
    i_0_682 ).

cnf(c_0_722,hypothesis,
    c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_712,c_0_713]),c_0_714]),c_0_715])]) ).

cnf(c_0_723,hypothesis,
    ( c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(X1))
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X1,esk1_1(X1)))
    | ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X1,esk2_1(X1)))
    | ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(X1,esk3_1(X1))) ),
    i_0_28 ).

cnf(c_0_724,plain,
    ( X1 = X2
    | c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X2,X1),X4)
    | c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X1,X2),X4)
    | ~ c_Relation_Ototal__on(X3,X5,X4)
    | ~ c_member(X3,X2,X5)
    | ~ c_member(X3,X1,X5) ),
    i_0_656 ).

cnf(c_0_725,plain,
    c_member(X1,X2,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_HOL_Obool))),
    inference(spm,[status(thm)],[c_0_703,c_0_716]) ).

cnf(c_0_726,plain,
    ( c_Relation_Oirrefl(X1,c_fequal(X2))
    | ~ c_Relation_Oirrefl(X1,c_Set_Oinsert(X3,X2,X4)) ),
    inference(spm,[status(thm)],[c_0_717,c_0_718]) ).

cnf(c_0_727,plain,
    c_Set_Oinsert(X1,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,v_b),v_F(v_P)) = v_F(v_P),
    inference(spm,[status(thm)],[c_0_719,c_0_720]) ).

cnf(c_0_728,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,v_b),v_F(v_P))
    | ~ 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,v_a),v_F(v_P)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_721,c_0_720]),c_0_722])]) ).

cnf(c_0_729,hypothesis,
    c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_723,c_0_713]),c_0_714]),c_0_715])]) ).

cnf(c_0_730,hypothesis,
    ( 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_F(X3))
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X3,esk4_1(X3)))
    | ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X3,esk5_1(X3)))
    | ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(X3,esk6_1(X3)))
    | ~ 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),hAPP(X3,v_i)) ),
    i_0_30 ).

cnf(c_0_731,hypothesis,
    ( 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),hAPP(v_P,X3))
    | 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),hAPP(v_P,X3)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_724,c_0_713]),c_0_725]),c_0_725])]) ).

cnf(c_0_732,plain,
    ( c_member(X1,X2,c_fequal(X3))
    | X2 != X3 ),
    i_0_178 ).

cnf(c_0_733,plain,
    ( c_Relation_Oirrefl(X1,c_fequal(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,v_b)))
    | ~ c_Relation_Oirrefl(X1,v_F(v_P)) ),
    inference(spm,[status(thm)],[c_0_726,c_0_727]) ).

cnf(c_0_734,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,v_b,v_a),v_F(v_P)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_707,c_0_728]),c_0_729])]) ).

cnf(c_0_735,hypothesis,
    ( 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,X2,X1),hAPP(v_P,v_i))
    | 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_F(v_P)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_730,c_0_731]),c_0_713]),c_0_714]),c_0_715])]) ).

cnf(c_0_736,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,v_a,v_b),hAPP(v_P,v_i)),
    i_0_35 ).

cnf(c_0_737,plain,
    c_member(X1,X2,c_fequal(X2)),
    inference(er,[status(thm)],[c_0_732]) ).

cnf(c_0_738,hypothesis,
    c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,c_fequal(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,v_b))),
    inference(spm,[status(thm)],[c_0_733,c_0_729]) ).

cnf(c_0_739,plain,
    v_b = v_a,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_734,c_0_735]),c_0_736]) ).

cnf(c_0_740,plain,
    ~ c_Relation_Oirrefl(X1,c_fequal(c_Product__Type_OPair(X1,X1,X2,X2))),
    inference(spm,[status(thm)],[c_0_707,c_0_737]) ).

cnf(c_0_741,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_738,c_0_739]),c_0_740]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SCT120+1 : TPTP v8.1.0. Released v5.2.0.
% 0.06/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n004.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 : Fri Jul  1 23:18:25 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected SinE mode:
% 0.18/0.47  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.47  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.18/0.47  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.18/0.47  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 9.15/2.70  # ENIGMATIC: Solved by autoschedule-lgb:
% 9.15/2.70  # No SInE strategy applied
% 9.15/2.70  # Trying AutoSched0 for 150 seconds
% 9.15/2.70  # AutoSched0-Mode selected heuristic G_E___208_B01_00_F1_SE_CS_SP_PS_S04AN
% 9.15/2.70  # and selection function SelectComplexExceptUniqMaxHorn.
% 9.15/2.70  #
% 9.15/2.70  # Preprocessing time       : 0.013 s
% 9.15/2.70  # Presaturation interreduction done
% 9.15/2.70  
% 9.15/2.70  # Proof found!
% 9.15/2.70  # SZS status Theorem
% 9.15/2.70  # SZS output start CNFRefutation
% See solution above
% 9.15/2.70  # Training examples: 0 positive, 0 negative
% 9.15/2.70  
% 9.15/2.70  # -------------------------------------------------
% 9.15/2.70  # User time                : 0.238 s
% 9.15/2.70  # System time              : 0.008 s
% 9.15/2.70  # Total time               : 0.246 s
% 9.15/2.70  # Maximum resident set size: 7160 pages
% 9.15/2.70  
%------------------------------------------------------------------------------