TSTP Solution File: SWW477+7 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWW477+7 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n022.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 21 00:11:01 EDT 2022
% Result : Theorem 0.84s 2.04s
% Output : CNFRefutation 0.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 22 ( 14 unt; 0 def)
% Number of atoms : 99 ( 55 equ)
% Maximal formula atoms : 58 ( 4 avg)
% Number of connectives : 108 ( 31 ~; 55 |; 20 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 4 avg)
% Maximal term depth : 17 ( 3 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 30 ( 30 usr; 14 con; 0-4 aty)
% Number of variables : 36 ( 5 sgn 20 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_1__096_B_BT_O_AP_ME_Mh_A_092_060turnstile_062_Ae_A_058_AT_A_061_061_062_AEX,axiom,
! [X10] :
( hBOOL(hAPP(ty,bool,hAPP(exp(list(char)),fun(ty,bool),hAPP(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool)),hAPP(fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),fun(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool))),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,product_prod(list(list(char)),exp(list(char))))))))))),fun(fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),fun(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool)))),wTrt,p),ha),e),ea),X10))
=> ? [X11] :
( hBOOL(hAPP(ty,bool,hAPP(exp(list(char)),fun(ty,bool),hAPP(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool)),hAPP(fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),fun(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool))),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,product_prod(list(list(char)),exp(list(char))))))))))),fun(fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),fun(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool)))),wTrt,p),h_a),e),e_a),X11))
& hBOOL(hAPP(ty,bool,hAPP(ty,fun(ty,bool),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,product_prod(list(list(char)),exp(list(char))))))))))),fun(ty,fun(ty,bool)),widen(product_prod(list(list(char)),exp(list(char)))),p),X11),X10)) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_1__096_B_BT_O_AP_ME_Mh_A_092_060turnstile_062_Ae_A_058_AT_A_061_061_062_AEX) ).
fof(fact_606_widen_Osimps,axiom,
! [X1,X15,X223,X224] :
( hBOOL(hAPP(ty,bool,hAPP(ty,fun(ty,bool),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,X1)))))))),fun(ty,fun(ty,bool)),widen(X1),X15),X223),X224))
<=> ( ? [X99] :
( X223 = X99
& X224 = X99 )
| ? [X216,X220] :
( X223 = hAPP(list(char),ty,class,X216)
& X224 = hAPP(list(char),ty,class,X220)
& hBOOL(hAPP(fun(product_prod(list(char),list(char)),bool),bool,hAPP(product_prod(list(char),list(char)),fun(fun(product_prod(list(char),list(char)),bool),bool),member(product_prod(list(char),list(char))),hAPP(list(char),product_prod(list(char),list(char)),hAPP(list(char),fun(list(char),product_prod(list(char),list(char))),product_Pair(list(char),list(char)),X216),X220)),hAPP(fun(product_prod(list(char),list(char)),bool),fun(product_prod(list(char),list(char)),bool),transitive_rtrancl(list(char)),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,X1)))))))),fun(product_prod(list(char),list(char)),bool),subcls1(X1),X15)))) )
| ? [X216] :
( X223 = nt
& X224 = hAPP(list(char),ty,class,X216) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_606_widen_Osimps) ).
fof(fact_0__096P_ME_Mh_A_092_060turnstile_062_Ae_A_058_ANT_096,axiom,
hBOOL(hAPP(ty,bool,hAPP(exp(list(char)),fun(ty,bool),hAPP(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool)),hAPP(fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),fun(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool))),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,product_prod(list(list(char)),exp(list(char))))))))))),fun(fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),fun(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool)))),wTrt,p),ha),e),ea),nt)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_0__096P_ME_Mh_A_092_060turnstile_062_Ae_A_058_ANT_096) ).
fof(fact_579_ty_Osimps_I20_J,axiom,
! [X129] : nt != hAPP(list(char),ty,class,X129),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_579_ty_Osimps_I20_J) ).
fof(conj_0,conjecture,
hBOOL(hAPP(ty,bool,hAPP(exp(list(char)),fun(ty,bool),hAPP(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool)),hAPP(fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),fun(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool))),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,product_prod(list(list(char)),exp(list(char))))))))))),fun(fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),fun(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool)))),wTrt,p),h_a),e),e_a),nt)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',conj_0) ).
fof(c_0_5,plain,
! [X12] :
( ( hBOOL(hAPP(ty,bool,hAPP(exp(list(char)),fun(ty,bool),hAPP(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool)),hAPP(fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),fun(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool))),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,product_prod(list(list(char)),exp(list(char))))))))))),fun(fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),fun(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool)))),wTrt,p),h_a),e),e_a),esk6_1(X12)))
| ~ hBOOL(hAPP(ty,bool,hAPP(exp(list(char)),fun(ty,bool),hAPP(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool)),hAPP(fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),fun(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool))),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,product_prod(list(list(char)),exp(list(char))))))))))),fun(fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),fun(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool)))),wTrt,p),ha),e),ea),X12)) )
& ( hBOOL(hAPP(ty,bool,hAPP(ty,fun(ty,bool),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,product_prod(list(list(char)),exp(list(char))))))))))),fun(ty,fun(ty,bool)),widen(product_prod(list(list(char)),exp(list(char)))),p),esk6_1(X12)),X12))
| ~ hBOOL(hAPP(ty,bool,hAPP(exp(list(char)),fun(ty,bool),hAPP(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool)),hAPP(fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),fun(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool))),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,product_prod(list(list(char)),exp(list(char))))))))))),fun(fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),fun(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool)))),wTrt,p),ha),e),ea),X12)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1__096_B_BT_O_AP_ME_Mh_A_092_060turnstile_062_Ae_A_058_AT_A_061_061_062_AEX])])])])])]) ).
fof(c_0_6,plain,
! [X225,X226,X227,X228,X225,X226,X227,X228,X233,X234,X235,X236] :
( ( X227 = nt
| X227 = hAPP(list(char),ty,class,esk3_4(X225,X226,X227,X228))
| X227 = esk2_4(X225,X226,X227,X228)
| ~ hBOOL(hAPP(ty,bool,hAPP(ty,fun(ty,bool),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,X225)))))))),fun(ty,fun(ty,bool)),widen(X225),X226),X227),X228)) )
& ( X228 = hAPP(list(char),ty,class,esk5_4(X225,X226,X227,X228))
| X227 = hAPP(list(char),ty,class,esk3_4(X225,X226,X227,X228))
| X227 = esk2_4(X225,X226,X227,X228)
| ~ hBOOL(hAPP(ty,bool,hAPP(ty,fun(ty,bool),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,X225)))))))),fun(ty,fun(ty,bool)),widen(X225),X226),X227),X228)) )
& ( X227 = nt
| X228 = hAPP(list(char),ty,class,esk4_4(X225,X226,X227,X228))
| X227 = esk2_4(X225,X226,X227,X228)
| ~ hBOOL(hAPP(ty,bool,hAPP(ty,fun(ty,bool),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,X225)))))))),fun(ty,fun(ty,bool)),widen(X225),X226),X227),X228)) )
& ( X228 = hAPP(list(char),ty,class,esk5_4(X225,X226,X227,X228))
| X228 = hAPP(list(char),ty,class,esk4_4(X225,X226,X227,X228))
| X227 = esk2_4(X225,X226,X227,X228)
| ~ hBOOL(hAPP(ty,bool,hAPP(ty,fun(ty,bool),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,X225)))))))),fun(ty,fun(ty,bool)),widen(X225),X226),X227),X228)) )
& ( X227 = nt
| hBOOL(hAPP(fun(product_prod(list(char),list(char)),bool),bool,hAPP(product_prod(list(char),list(char)),fun(fun(product_prod(list(char),list(char)),bool),bool),member(product_prod(list(char),list(char))),hAPP(list(char),product_prod(list(char),list(char)),hAPP(list(char),fun(list(char),product_prod(list(char),list(char))),product_Pair(list(char),list(char)),esk3_4(X225,X226,X227,X228)),esk4_4(X225,X226,X227,X228))),hAPP(fun(product_prod(list(char),list(char)),bool),fun(product_prod(list(char),list(char)),bool),transitive_rtrancl(list(char)),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,X225)))))))),fun(product_prod(list(char),list(char)),bool),subcls1(X225),X226))))
| X227 = esk2_4(X225,X226,X227,X228)
| ~ hBOOL(hAPP(ty,bool,hAPP(ty,fun(ty,bool),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,X225)))))))),fun(ty,fun(ty,bool)),widen(X225),X226),X227),X228)) )
& ( X228 = hAPP(list(char),ty,class,esk5_4(X225,X226,X227,X228))
| hBOOL(hAPP(fun(product_prod(list(char),list(char)),bool),bool,hAPP(product_prod(list(char),list(char)),fun(fun(product_prod(list(char),list(char)),bool),bool),member(product_prod(list(char),list(char))),hAPP(list(char),product_prod(list(char),list(char)),hAPP(list(char),fun(list(char),product_prod(list(char),list(char))),product_Pair(list(char),list(char)),esk3_4(X225,X226,X227,X228)),esk4_4(X225,X226,X227,X228))),hAPP(fun(product_prod(list(char),list(char)),bool),fun(product_prod(list(char),list(char)),bool),transitive_rtrancl(list(char)),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,X225)))))))),fun(product_prod(list(char),list(char)),bool),subcls1(X225),X226))))
| X227 = esk2_4(X225,X226,X227,X228)
| ~ hBOOL(hAPP(ty,bool,hAPP(ty,fun(ty,bool),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,X225)))))))),fun(ty,fun(ty,bool)),widen(X225),X226),X227),X228)) )
& ( X227 = nt
| X227 = hAPP(list(char),ty,class,esk3_4(X225,X226,X227,X228))
| X228 = esk2_4(X225,X226,X227,X228)
| ~ hBOOL(hAPP(ty,bool,hAPP(ty,fun(ty,bool),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,X225)))))))),fun(ty,fun(ty,bool)),widen(X225),X226),X227),X228)) )
& ( X228 = hAPP(list(char),ty,class,esk5_4(X225,X226,X227,X228))
| X227 = hAPP(list(char),ty,class,esk3_4(X225,X226,X227,X228))
| X228 = esk2_4(X225,X226,X227,X228)
| ~ hBOOL(hAPP(ty,bool,hAPP(ty,fun(ty,bool),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,X225)))))))),fun(ty,fun(ty,bool)),widen(X225),X226),X227),X228)) )
& ( X227 = nt
| X228 = hAPP(list(char),ty,class,esk4_4(X225,X226,X227,X228))
| X228 = esk2_4(X225,X226,X227,X228)
| ~ hBOOL(hAPP(ty,bool,hAPP(ty,fun(ty,bool),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,X225)))))))),fun(ty,fun(ty,bool)),widen(X225),X226),X227),X228)) )
& ( X228 = hAPP(list(char),ty,class,esk5_4(X225,X226,X227,X228))
| X228 = hAPP(list(char),ty,class,esk4_4(X225,X226,X227,X228))
| X228 = esk2_4(X225,X226,X227,X228)
| ~ hBOOL(hAPP(ty,bool,hAPP(ty,fun(ty,bool),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,X225)))))))),fun(ty,fun(ty,bool)),widen(X225),X226),X227),X228)) )
& ( X227 = nt
| hBOOL(hAPP(fun(product_prod(list(char),list(char)),bool),bool,hAPP(product_prod(list(char),list(char)),fun(fun(product_prod(list(char),list(char)),bool),bool),member(product_prod(list(char),list(char))),hAPP(list(char),product_prod(list(char),list(char)),hAPP(list(char),fun(list(char),product_prod(list(char),list(char))),product_Pair(list(char),list(char)),esk3_4(X225,X226,X227,X228)),esk4_4(X225,X226,X227,X228))),hAPP(fun(product_prod(list(char),list(char)),bool),fun(product_prod(list(char),list(char)),bool),transitive_rtrancl(list(char)),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,X225)))))))),fun(product_prod(list(char),list(char)),bool),subcls1(X225),X226))))
| X228 = esk2_4(X225,X226,X227,X228)
| ~ hBOOL(hAPP(ty,bool,hAPP(ty,fun(ty,bool),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,X225)))))))),fun(ty,fun(ty,bool)),widen(X225),X226),X227),X228)) )
& ( X228 = hAPP(list(char),ty,class,esk5_4(X225,X226,X227,X228))
| hBOOL(hAPP(fun(product_prod(list(char),list(char)),bool),bool,hAPP(product_prod(list(char),list(char)),fun(fun(product_prod(list(char),list(char)),bool),bool),member(product_prod(list(char),list(char))),hAPP(list(char),product_prod(list(char),list(char)),hAPP(list(char),fun(list(char),product_prod(list(char),list(char))),product_Pair(list(char),list(char)),esk3_4(X225,X226,X227,X228)),esk4_4(X225,X226,X227,X228))),hAPP(fun(product_prod(list(char),list(char)),bool),fun(product_prod(list(char),list(char)),bool),transitive_rtrancl(list(char)),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,X225)))))))),fun(product_prod(list(char),list(char)),bool),subcls1(X225),X226))))
| X228 = esk2_4(X225,X226,X227,X228)
| ~ hBOOL(hAPP(ty,bool,hAPP(ty,fun(ty,bool),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,X225)))))))),fun(ty,fun(ty,bool)),widen(X225),X226),X227),X228)) )
& ( X227 != X233
| X228 != X233
| hBOOL(hAPP(ty,bool,hAPP(ty,fun(ty,bool),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,X225)))))))),fun(ty,fun(ty,bool)),widen(X225),X226),X227),X228)) )
& ( X227 != hAPP(list(char),ty,class,X234)
| X228 != hAPP(list(char),ty,class,X235)
| ~ hBOOL(hAPP(fun(product_prod(list(char),list(char)),bool),bool,hAPP(product_prod(list(char),list(char)),fun(fun(product_prod(list(char),list(char)),bool),bool),member(product_prod(list(char),list(char))),hAPP(list(char),product_prod(list(char),list(char)),hAPP(list(char),fun(list(char),product_prod(list(char),list(char))),product_Pair(list(char),list(char)),X234),X235)),hAPP(fun(product_prod(list(char),list(char)),bool),fun(product_prod(list(char),list(char)),bool),transitive_rtrancl(list(char)),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,X225)))))))),fun(product_prod(list(char),list(char)),bool),subcls1(X225),X226))))
| hBOOL(hAPP(ty,bool,hAPP(ty,fun(ty,bool),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,X225)))))))),fun(ty,fun(ty,bool)),widen(X225),X226),X227),X228)) )
& ( X227 != nt
| X228 != hAPP(list(char),ty,class,X236)
| hBOOL(hAPP(ty,bool,hAPP(ty,fun(ty,bool),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,X225)))))))),fun(ty,fun(ty,bool)),widen(X225),X226),X227),X228)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_606_widen_Osimps])])])])])])]) ).
cnf(c_0_7,plain,
( hBOOL(hAPP(ty,bool,hAPP(ty,fun(ty,bool),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,product_prod(list(list(char)),exp(list(char))))))))))),fun(ty,fun(ty,bool)),widen(product_prod(list(list(char)),exp(list(char)))),p),esk6_1(X1)),X1))
| ~ hBOOL(hAPP(ty,bool,hAPP(exp(list(char)),fun(ty,bool),hAPP(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool)),hAPP(fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),fun(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool))),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,product_prod(list(list(char)),exp(list(char))))))))))),fun(fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),fun(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool)))),wTrt,p),ha),e),ea),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,plain,
hBOOL(hAPP(ty,bool,hAPP(exp(list(char)),fun(ty,bool),hAPP(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool)),hAPP(fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),fun(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool))),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,product_prod(list(list(char)),exp(list(char))))))))))),fun(fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),fun(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool)))),wTrt,p),ha),e),ea),nt)),
inference(split_conjunct,[status(thm)],[fact_0__096P_ME_Mh_A_092_060turnstile_062_Ae_A_058_ANT_096]) ).
fof(c_0_9,plain,
! [X130] : nt != hAPP(list(char),ty,class,X130),
inference(variable_rename,[status(thm)],[fact_579_ty_Osimps_I20_J]) ).
cnf(c_0_10,plain,
( X4 = esk2_4(X1,X2,X3,X4)
| X4 = hAPP(list(char),ty,class,esk4_4(X1,X2,X3,X4))
| X4 = hAPP(list(char),ty,class,esk5_4(X1,X2,X3,X4))
| ~ hBOOL(hAPP(ty,bool,hAPP(ty,fun(ty,bool),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,X1)))))))),fun(ty,fun(ty,bool)),widen(X1),X2),X3),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
hBOOL(hAPP(ty,bool,hAPP(ty,fun(ty,bool),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,product_prod(list(list(char)),exp(list(char))))))))))),fun(ty,fun(ty,bool)),widen(product_prod(list(list(char)),exp(list(char)))),p),esk6_1(nt)),nt)),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_12,plain,
nt != hAPP(list(char),ty,class,X1),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_13,negated_conjecture,
~ hBOOL(hAPP(ty,bool,hAPP(exp(list(char)),fun(ty,bool),hAPP(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool)),hAPP(fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),fun(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool))),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,product_prod(list(list(char)),exp(list(char))))))))))),fun(fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),fun(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool)))),wTrt,p),h_a),e),e_a),nt)),
inference(assume_negation,[status(cth)],[conj_0]) ).
cnf(c_0_14,plain,
( hBOOL(hAPP(ty,bool,hAPP(exp(list(char)),fun(ty,bool),hAPP(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool)),hAPP(fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),fun(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool))),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,product_prod(list(list(char)),exp(list(char))))))))))),fun(fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),fun(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool)))),wTrt,p),h_a),e),e_a),esk6_1(X1)))
| ~ hBOOL(hAPP(ty,bool,hAPP(exp(list(char)),fun(ty,bool),hAPP(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool)),hAPP(fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),fun(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool))),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,product_prod(list(list(char)),exp(list(char))))))))))),fun(fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),fun(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool)))),wTrt,p),ha),e),ea),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_15,plain,
( X3 = esk2_4(X1,X2,X3,X4)
| X4 = hAPP(list(char),ty,class,esk4_4(X1,X2,X3,X4))
| X4 = hAPP(list(char),ty,class,esk5_4(X1,X2,X3,X4))
| ~ hBOOL(hAPP(ty,bool,hAPP(ty,fun(ty,bool),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,X1)))))))),fun(ty,fun(ty,bool)),widen(X1),X2),X3),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_16,plain,
esk2_4(product_prod(list(list(char)),exp(list(char))),p,esk6_1(nt),nt) = nt,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]),c_0_12]) ).
fof(c_0_17,negated_conjecture,
~ hBOOL(hAPP(ty,bool,hAPP(exp(list(char)),fun(ty,bool),hAPP(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool)),hAPP(fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),fun(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool))),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,product_prod(list(list(char)),exp(list(char))))))))))),fun(fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),fun(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool)))),wTrt,p),h_a),e),e_a),nt)),
inference(fof_simplification,[status(thm)],[c_0_13]) ).
cnf(c_0_18,plain,
hBOOL(hAPP(ty,bool,hAPP(exp(list(char)),fun(ty,bool),hAPP(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool)),hAPP(fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),fun(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool))),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,product_prod(list(list(char)),exp(list(char))))))))))),fun(fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),fun(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool)))),wTrt,p),h_a),e),e_a),esk6_1(nt))),
inference(spm,[status(thm)],[c_0_14,c_0_8]) ).
cnf(c_0_19,plain,
esk6_1(nt) = nt,
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_11]),c_0_12]),c_0_12]),c_0_16]) ).
cnf(c_0_20,negated_conjecture,
~ hBOOL(hAPP(ty,bool,hAPP(exp(list(char)),fun(ty,bool),hAPP(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool)),hAPP(fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),fun(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool))),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,product_prod(list(list(char)),exp(list(char))))))))))),fun(fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),fun(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool)))),wTrt,p),h_a),e),e_a),nt)),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_21,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_19]),c_0_20]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW477+7 : TPTP v8.1.0. Released v5.3.0.
% 0.12/0.13 % Command : run_ET %s %d
% 0.12/0.34 % Computer : n022.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jun 5 23:48:50 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.84/2.04 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.84/2.04 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.84/2.04 # Preprocessing time : 0.284 s
% 0.84/2.04
% 0.84/2.04 # Proof found!
% 0.84/2.04 # SZS status Theorem
% 0.84/2.04 # SZS output start CNFRefutation
% See solution above
% 0.84/2.04 # Proof object total steps : 22
% 0.84/2.04 # Proof object clause steps : 12
% 0.84/2.04 # Proof object formula steps : 10
% 0.84/2.04 # Proof object conjectures : 4
% 0.84/2.04 # Proof object clause conjectures : 1
% 0.84/2.04 # Proof object formula conjectures : 3
% 0.84/2.04 # Proof object initial clauses used : 7
% 0.84/2.04 # Proof object initial formulas used : 5
% 0.84/2.04 # Proof object generating inferences : 4
% 0.84/2.04 # Proof object simplifying inferences : 7
% 0.84/2.04 # Training examples: 0 positive, 0 negative
% 0.84/2.04 # Parsed axioms : 1180
% 0.84/2.04 # Removed by relevancy pruning/SinE : 997
% 0.84/2.04 # Initial clauses : 254
% 0.84/2.04 # Removed in clause preprocessing : 4
% 0.84/2.04 # Initial clauses in saturation : 250
% 0.84/2.04 # Processed clauses : 260
% 0.84/2.04 # ...of these trivial : 4
% 0.84/2.04 # ...subsumed : 34
% 0.84/2.04 # ...remaining for further processing : 222
% 0.84/2.04 # Other redundant clauses eliminated : 4
% 0.84/2.04 # Clauses deleted for lack of memory : 0
% 0.84/2.04 # Backward-subsumed : 0
% 0.84/2.04 # Backward-rewritten : 4
% 0.84/2.04 # Generated clauses : 2055
% 0.84/2.04 # ...of the previous two non-trivial : 1818
% 0.84/2.04 # Contextual simplify-reflections : 0
% 0.84/2.04 # Paramodulations : 2028
% 0.84/2.04 # Factorizations : 2
% 0.84/2.04 # Equation resolutions : 27
% 0.84/2.04 # Current number of processed clauses : 216
% 0.84/2.04 # Positive orientable unit clauses : 53
% 0.84/2.04 # Positive unorientable unit clauses: 2
% 0.84/2.04 # Negative unit clauses : 26
% 0.84/2.04 # Non-unit-clauses : 135
% 0.84/2.04 # Current number of unprocessed clauses: 1795
% 0.84/2.04 # ...number of literals in the above : 4594
% 0.84/2.04 # Current number of archived formulas : 0
% 0.84/2.04 # Current number of archived clauses : 4
% 0.84/2.04 # Clause-clause subsumption calls (NU) : 6995
% 0.84/2.04 # Rec. Clause-clause subsumption calls : 3569
% 0.84/2.04 # Non-unit clause-clause subsumptions : 8
% 0.84/2.04 # Unit Clause-clause subsumption calls : 737
% 0.84/2.04 # Rewrite failures with RHS unbound : 75
% 0.84/2.04 # BW rewrite match attempts : 2069
% 0.84/2.04 # BW rewrite match successes : 57
% 0.84/2.04 # Condensation attempts : 0
% 0.84/2.04 # Condensation successes : 0
% 0.84/2.04 # Termbank termtop insertions : 1339026
% 0.84/2.04
% 0.84/2.04 # -------------------------------------------------
% 0.84/2.04 # User time : 0.403 s
% 0.84/2.04 # System time : 0.013 s
% 0.84/2.04 # Total time : 0.416 s
% 0.84/2.04 # Maximum resident set size: 12372 pages
% 0.84/24.06 eprover: CPU time limit exceeded, terminating
% 0.84/24.08 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.84/24.08 eprover: No such file or directory
% 0.84/24.09 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.84/24.09 eprover: No such file or directory
% 0.84/24.09 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.84/24.09 eprover: No such file or directory
% 0.84/24.10 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.84/24.10 eprover: No such file or directory
% 0.84/24.10 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.84/24.10 eprover: No such file or directory
% 0.84/24.11 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.84/24.11 eprover: No such file or directory
% 0.84/24.11 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.84/24.11 eprover: No such file or directory
% 0.84/24.12 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.84/24.12 eprover: No such file or directory
% 0.84/24.13 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.84/24.13 eprover: No such file or directory
% 0.84/24.13 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.84/24.13 eprover: No such file or directory
% 0.84/24.14 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.84/24.14 eprover: No such file or directory
%------------------------------------------------------------------------------