TSTP Solution File: NUM641+4 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM641+4 : TPTP v7.3.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : sine.py -e eprover -t %d %s
% Computer : n189.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 32218.5MB
% OS : Linux 3.10.0-862.11.6.el7.x86_64
% CPULimit : 300s
% DateTime : Wed Feb 27 14:20:53 EST 2019
% Result : Theorem 109.49s
% Output : CNFRefutation 109.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 15
% Syntax : Number of formulae : 86 ( 33 unt; 0 def)
% Number of atoms : 210 ( 22 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 201 ( 77 ~; 95 |; 21 &)
% ( 3 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 12 con; 0-2 aty)
% Number of variables : 108 ( 7 sgn 55 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(5,conjecture,
pp(aa_fun171081125l_bool(scratc1829701671all_of(aTP_Lamm_a),aTP_Lamm_aa)),
file('/export/starexec/sandbox/tmp/tmpRrkGty/sel_theBenchmark.p_2',conj_0) ).
fof(9,axiom,
! [X8,X9] : gg_bool(aa_TPTP_ind_bool(X8,X9)),
file('/export/starexec/sandbox/tmp/tmpRrkGty/sel_theBenchmark.p_2',gsy_c_aa_001t__TPTP____Interpret__Oind_001t__HOL__Obool) ).
fof(49,axiom,
pp(aa_fun171081125l_bool(scratc1829701671all_of(aTP_Lamm_a),aTP_Lamm_bu)),
file('/export/starexec/sandbox/tmp/tmpRrkGty/sel_theBenchmark.p_2',fact_satz4c) ).
fof(58,axiom,
! [X15] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_aa,X15))
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1083610823d_n_is,aa_TPTP_ind_TPTP_ind(scratc912327602rdsucc,X15)),aa_TPTP_ind_TPTP_ind(scratc1084070009d_n_pl(scratc45782132nd_n_1),X15))) ),
file('/export/starexec/sandbox/tmp/tmpRrkGty/sel_theBenchmark.p_2',fact_ATP_Olambda__8) ).
fof(63,axiom,
! [X5,X6] :
( pp(aa_fun171081125l_bool(scratc1829701671all_of(X5),X6))
<=> ! [X24] :
( gg_TPTP_ind(X24)
=> ( scratc1451164978_is_of(X24,X5)
=> pp(aa_TPTP_ind_bool(X6,X24)) ) ) ),
file('/export/starexec/sandbox/tmp/tmpRrkGty/sel_theBenchmark.p_2',fact_def__all__of) ).
fof(74,axiom,
! [X10] :
( gg_bool(X10)
=> ( equal(X10,fTrue)
| equal(X10,fFalse) ) ),
file('/export/starexec/sandbox/tmp/tmpRrkGty/sel_theBenchmark.p_2',help_fFalse_1_1_T) ).
fof(75,axiom,
! [X5] : equal(scratc1564950462d_e_is(X5),fequal_TPTP_ind),
file('/export/starexec/sandbox/tmp/tmpRrkGty/sel_theBenchmark.p_2',fact_def__e__is) ).
fof(79,axiom,
! [X15] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_bu,X15))
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1083610823d_n_is,aa_TPTP_ind_TPTP_ind(scratc1084070009d_n_pl(scratc45782132nd_n_1),X15)),aa_TPTP_ind_TPTP_ind(scratc912327602rdsucc,X15))) ),
file('/export/starexec/sandbox/tmp/tmpRrkGty/sel_theBenchmark.p_2',fact_ATP_Olambda__4) ).
fof(87,axiom,
! [X23,X29] :
( ~ equal(X23,X29)
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X23),X29)) ),
file('/export/starexec/sandbox/tmp/tmpRrkGty/sel_theBenchmark.p_2',help_fequal_2_1_fequal_001t__TPTP____Interpret__Oind_T) ).
fof(89,axiom,
! [X5] : equal(scratc1084070009d_n_pl(X5),aa_TPT1424761345TP_ind(scratc1549486784bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1715799339d_plus,X5))),
file('/export/starexec/sandbox/tmp/tmpRrkGty/sel_theBenchmark.p_2',fact_def__n__pl) ).
fof(98,axiom,
equal(scratc1083610823d_n_is,scratc1564950462d_e_is(scratc193932176nd_nat)),
file('/export/starexec/sandbox/tmp/tmpRrkGty/sel_theBenchmark.p_2',fact_def__n__is) ).
fof(119,axiom,
! [X23,X29] :
( ( gg_TPTP_ind(X23)
& gg_TPTP_ind(X29) )
=> ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X23),X29))
| equal(X23,X29) ) ),
file('/export/starexec/sandbox/tmp/tmpRrkGty/sel_theBenchmark.p_2',help_fequal_1_1_fequal_001t__TPTP____Interpret__Oind_T) ).
fof(132,axiom,
! [X8,X9] : gg_bool(aa_fun171081125l_bool(X8,X9)),
file('/export/starexec/sandbox/tmp/tmpRrkGty/sel_theBenchmark.p_2',gsy_c_aa_001t__fun_It__TPTP____Interpret__Oind_Mt__HOL__Obool_J_001t__HOL__Obool) ).
fof(181,axiom,
! [X8,X9] : gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(X8,X9)),
file('/export/starexec/sandbox/tmp/tmpRrkGty/sel_theBenchmark.p_2',gsy_c_aa_001t__TPTP____Interpret__Oind_001t__TPTP____Interpret__Oind) ).
fof(260,axiom,
pp(fTrue),
file('/export/starexec/sandbox/tmp/tmpRrkGty/sel_theBenchmark.p_2',help_pp_2_1_U) ).
fof(323,negated_conjecture,
~ pp(aa_fun171081125l_bool(scratc1829701671all_of(aTP_Lamm_a),aTP_Lamm_aa)),
inference(assume_negation,[status(cth)],[5]) ).
fof(324,negated_conjecture,
~ pp(aa_fun171081125l_bool(scratc1829701671all_of(aTP_Lamm_a),aTP_Lamm_aa)),
inference(fof_simplification,[status(thm)],[323,theory(equality)]) ).
fof(329,plain,
! [X23,X29] :
( ( gg_TPTP_ind(X23)
& gg_TPTP_ind(X29) )
=> ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X23),X29))
| equal(X23,X29) ) ),
inference(fof_simplification,[status(thm)],[119,theory(equality)]) ).
cnf(353,negated_conjecture,
~ pp(aa_fun171081125l_bool(scratc1829701671all_of(aTP_Lamm_a),aTP_Lamm_aa)),
inference(split_conjunct,[status(thm)],[324]) ).
fof(361,plain,
! [X10,X11] : gg_bool(aa_TPTP_ind_bool(X10,X11)),
inference(variable_rename,[status(thm)],[9]) ).
cnf(362,plain,
gg_bool(aa_TPTP_ind_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[361]) ).
cnf(493,plain,
pp(aa_fun171081125l_bool(scratc1829701671all_of(aTP_Lamm_a),aTP_Lamm_bu)),
inference(split_conjunct,[status(thm)],[49]) ).
fof(513,plain,
! [X15] :
( ( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_aa,X15))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1083610823d_n_is,aa_TPTP_ind_TPTP_ind(scratc912327602rdsucc,X15)),aa_TPTP_ind_TPTP_ind(scratc1084070009d_n_pl(scratc45782132nd_n_1),X15))) )
& ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1083610823d_n_is,aa_TPTP_ind_TPTP_ind(scratc912327602rdsucc,X15)),aa_TPTP_ind_TPTP_ind(scratc1084070009d_n_pl(scratc45782132nd_n_1),X15)))
| pp(aa_TPTP_ind_bool(aTP_Lamm_aa,X15)) ) ),
inference(fof_nnf,[status(thm)],[58]) ).
fof(514,plain,
! [X16] :
( ( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_aa,X16))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1083610823d_n_is,aa_TPTP_ind_TPTP_ind(scratc912327602rdsucc,X16)),aa_TPTP_ind_TPTP_ind(scratc1084070009d_n_pl(scratc45782132nd_n_1),X16))) )
& ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1083610823d_n_is,aa_TPTP_ind_TPTP_ind(scratc912327602rdsucc,X16)),aa_TPTP_ind_TPTP_ind(scratc1084070009d_n_pl(scratc45782132nd_n_1),X16)))
| pp(aa_TPTP_ind_bool(aTP_Lamm_aa,X16)) ) ),
inference(variable_rename,[status(thm)],[513]) ).
cnf(515,plain,
( pp(aa_TPTP_ind_bool(aTP_Lamm_aa,X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1083610823d_n_is,aa_TPTP_ind_TPTP_ind(scratc912327602rdsucc,X1)),aa_TPTP_ind_TPTP_ind(scratc1084070009d_n_pl(scratc45782132nd_n_1),X1))) ),
inference(split_conjunct,[status(thm)],[514]) ).
fof(531,plain,
! [X5,X6] :
( ( ~ pp(aa_fun171081125l_bool(scratc1829701671all_of(X5),X6))
| ! [X24] :
( ~ gg_TPTP_ind(X24)
| ~ scratc1451164978_is_of(X24,X5)
| pp(aa_TPTP_ind_bool(X6,X24)) ) )
& ( ? [X24] :
( gg_TPTP_ind(X24)
& scratc1451164978_is_of(X24,X5)
& ~ pp(aa_TPTP_ind_bool(X6,X24)) )
| pp(aa_fun171081125l_bool(scratc1829701671all_of(X5),X6)) ) ),
inference(fof_nnf,[status(thm)],[63]) ).
fof(532,plain,
! [X25,X26] :
( ( ~ pp(aa_fun171081125l_bool(scratc1829701671all_of(X25),X26))
| ! [X27] :
( ~ gg_TPTP_ind(X27)
| ~ scratc1451164978_is_of(X27,X25)
| pp(aa_TPTP_ind_bool(X26,X27)) ) )
& ( ? [X28] :
( gg_TPTP_ind(X28)
& scratc1451164978_is_of(X28,X25)
& ~ pp(aa_TPTP_ind_bool(X26,X28)) )
| pp(aa_fun171081125l_bool(scratc1829701671all_of(X25),X26)) ) ),
inference(variable_rename,[status(thm)],[531]) ).
fof(533,plain,
! [X25,X26] :
( ( ~ pp(aa_fun171081125l_bool(scratc1829701671all_of(X25),X26))
| ! [X27] :
( ~ gg_TPTP_ind(X27)
| ~ scratc1451164978_is_of(X27,X25)
| pp(aa_TPTP_ind_bool(X26,X27)) ) )
& ( ( gg_TPTP_ind(esk4_2(X25,X26))
& scratc1451164978_is_of(esk4_2(X25,X26),X25)
& ~ pp(aa_TPTP_ind_bool(X26,esk4_2(X25,X26))) )
| pp(aa_fun171081125l_bool(scratc1829701671all_of(X25),X26)) ) ),
inference(skolemize,[status(esa)],[532]) ).
fof(534,plain,
! [X25,X26,X27] :
( ( ~ gg_TPTP_ind(X27)
| ~ scratc1451164978_is_of(X27,X25)
| pp(aa_TPTP_ind_bool(X26,X27))
| ~ pp(aa_fun171081125l_bool(scratc1829701671all_of(X25),X26)) )
& ( ( gg_TPTP_ind(esk4_2(X25,X26))
& scratc1451164978_is_of(esk4_2(X25,X26),X25)
& ~ pp(aa_TPTP_ind_bool(X26,esk4_2(X25,X26))) )
| pp(aa_fun171081125l_bool(scratc1829701671all_of(X25),X26)) ) ),
inference(shift_quantors,[status(thm)],[533]) ).
fof(535,plain,
! [X25,X26,X27] :
( ( ~ gg_TPTP_ind(X27)
| ~ scratc1451164978_is_of(X27,X25)
| pp(aa_TPTP_ind_bool(X26,X27))
| ~ pp(aa_fun171081125l_bool(scratc1829701671all_of(X25),X26)) )
& ( gg_TPTP_ind(esk4_2(X25,X26))
| pp(aa_fun171081125l_bool(scratc1829701671all_of(X25),X26)) )
& ( scratc1451164978_is_of(esk4_2(X25,X26),X25)
| pp(aa_fun171081125l_bool(scratc1829701671all_of(X25),X26)) )
& ( ~ pp(aa_TPTP_ind_bool(X26,esk4_2(X25,X26)))
| pp(aa_fun171081125l_bool(scratc1829701671all_of(X25),X26)) ) ),
inference(distribute,[status(thm)],[534]) ).
cnf(536,plain,
( pp(aa_fun171081125l_bool(scratc1829701671all_of(X1),X2))
| ~ pp(aa_TPTP_ind_bool(X2,esk4_2(X1,X2))) ),
inference(split_conjunct,[status(thm)],[535]) ).
cnf(537,plain,
( pp(aa_fun171081125l_bool(scratc1829701671all_of(X1),X2))
| scratc1451164978_is_of(esk4_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[535]) ).
cnf(538,plain,
( pp(aa_fun171081125l_bool(scratc1829701671all_of(X1),X2))
| gg_TPTP_ind(esk4_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[535]) ).
cnf(539,plain,
( pp(aa_TPTP_ind_bool(X2,X3))
| ~ pp(aa_fun171081125l_bool(scratc1829701671all_of(X1),X2))
| ~ scratc1451164978_is_of(X3,X1)
| ~ gg_TPTP_ind(X3) ),
inference(split_conjunct,[status(thm)],[535]) ).
fof(579,plain,
! [X10] :
( ~ gg_bool(X10)
| equal(X10,fTrue)
| equal(X10,fFalse) ),
inference(fof_nnf,[status(thm)],[74]) ).
fof(580,plain,
! [X11] :
( ~ gg_bool(X11)
| equal(X11,fTrue)
| equal(X11,fFalse) ),
inference(variable_rename,[status(thm)],[579]) ).
cnf(581,plain,
( X1 = fFalse
| X1 = fTrue
| ~ gg_bool(X1) ),
inference(split_conjunct,[status(thm)],[580]) ).
fof(582,plain,
! [X6] : equal(scratc1564950462d_e_is(X6),fequal_TPTP_ind),
inference(variable_rename,[status(thm)],[75]) ).
cnf(583,plain,
scratc1564950462d_e_is(X1) = fequal_TPTP_ind,
inference(split_conjunct,[status(thm)],[582]) ).
fof(594,plain,
! [X15] :
( ( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bu,X15))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1083610823d_n_is,aa_TPTP_ind_TPTP_ind(scratc1084070009d_n_pl(scratc45782132nd_n_1),X15)),aa_TPTP_ind_TPTP_ind(scratc912327602rdsucc,X15))) )
& ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1083610823d_n_is,aa_TPTP_ind_TPTP_ind(scratc1084070009d_n_pl(scratc45782132nd_n_1),X15)),aa_TPTP_ind_TPTP_ind(scratc912327602rdsucc,X15)))
| pp(aa_TPTP_ind_bool(aTP_Lamm_bu,X15)) ) ),
inference(fof_nnf,[status(thm)],[79]) ).
fof(595,plain,
! [X16] :
( ( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bu,X16))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1083610823d_n_is,aa_TPTP_ind_TPTP_ind(scratc1084070009d_n_pl(scratc45782132nd_n_1),X16)),aa_TPTP_ind_TPTP_ind(scratc912327602rdsucc,X16))) )
& ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1083610823d_n_is,aa_TPTP_ind_TPTP_ind(scratc1084070009d_n_pl(scratc45782132nd_n_1),X16)),aa_TPTP_ind_TPTP_ind(scratc912327602rdsucc,X16)))
| pp(aa_TPTP_ind_bool(aTP_Lamm_bu,X16)) ) ),
inference(variable_rename,[status(thm)],[594]) ).
cnf(597,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1083610823d_n_is,aa_TPTP_ind_TPTP_ind(scratc1084070009d_n_pl(scratc45782132nd_n_1),X1)),aa_TPTP_ind_TPTP_ind(scratc912327602rdsucc,X1)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bu,X1)) ),
inference(split_conjunct,[status(thm)],[595]) ).
fof(614,plain,
! [X30,X31] :
( ~ equal(X30,X31)
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X30),X31)) ),
inference(variable_rename,[status(thm)],[87]) ).
cnf(615,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X1),X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[614]) ).
fof(620,plain,
! [X6] : equal(scratc1084070009d_n_pl(X6),aa_TPT1424761345TP_ind(scratc1549486784bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1715799339d_plus,X6))),
inference(variable_rename,[status(thm)],[89]) ).
cnf(621,plain,
scratc1084070009d_n_pl(X1) = aa_TPT1424761345TP_ind(scratc1549486784bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1715799339d_plus,X1)),
inference(split_conjunct,[status(thm)],[620]) ).
cnf(648,plain,
scratc1083610823d_n_is = scratc1564950462d_e_is(scratc193932176nd_nat),
inference(split_conjunct,[status(thm)],[98]) ).
fof(715,plain,
! [X23,X29] :
( ~ gg_TPTP_ind(X23)
| ~ gg_TPTP_ind(X29)
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X23),X29))
| equal(X23,X29) ),
inference(fof_nnf,[status(thm)],[329]) ).
fof(716,plain,
! [X30,X31] :
( ~ gg_TPTP_ind(X30)
| ~ gg_TPTP_ind(X31)
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X30),X31))
| equal(X30,X31) ),
inference(variable_rename,[status(thm)],[715]) ).
cnf(717,plain,
( X1 = X2
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X1),X2))
| ~ gg_TPTP_ind(X2)
| ~ gg_TPTP_ind(X1) ),
inference(split_conjunct,[status(thm)],[716]) ).
fof(755,plain,
! [X10,X11] : gg_bool(aa_fun171081125l_bool(X10,X11)),
inference(variable_rename,[status(thm)],[132]) ).
cnf(756,plain,
gg_bool(aa_fun171081125l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[755]) ).
fof(921,plain,
! [X10,X11] : gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(X10,X11)),
inference(variable_rename,[status(thm)],[181]) ).
cnf(922,plain,
gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(X1,X2)),
inference(split_conjunct,[status(thm)],[921]) ).
cnf(1202,plain,
pp(fTrue),
inference(split_conjunct,[status(thm)],[260]) ).
cnf(1415,plain,
fequal_TPTP_ind = scratc1083610823d_n_is,
inference(rw,[status(thm)],[648,583,theory(equality)]),
[unfolding] ).
cnf(1495,plain,
( pp(aa_TPTP_ind_bool(aTP_Lamm_aa,X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1083610823d_n_is,aa_TPTP_ind_TPTP_ind(scratc912327602rdsucc,X1)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1549486784bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1715799339d_plus,scratc45782132nd_n_1)),X1))) ),
inference(rw,[status(thm)],[515,621,theory(equality)]),
[unfolding] ).
cnf(1501,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1083610823d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1549486784bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1715799339d_plus,scratc45782132nd_n_1)),X1)),aa_TPTP_ind_TPTP_ind(scratc912327602rdsucc,X1)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bu,X1)) ),
inference(rw,[status(thm)],[597,621,theory(equality)]),
[unfolding] ).
cnf(1520,plain,
( fTrue = aa_fun171081125l_bool(X1,X2)
| fFalse = aa_fun171081125l_bool(X1,X2) ),
inference(spm,[status(thm)],[581,756,theory(equality)]) ).
cnf(1524,plain,
( fTrue = aa_TPTP_ind_bool(X1,X2)
| fFalse = aa_TPTP_ind_bool(X1,X2) ),
inference(spm,[status(thm)],[581,362,theory(equality)]) ).
cnf(1571,plain,
pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X1),X1)),
inference(er,[status(thm)],[615,theory(equality)]) ).
cnf(1782,plain,
( pp(aa_TPTP_ind_bool(aTP_Lamm_bu,X1))
| ~ scratc1451164978_is_of(X1,aTP_Lamm_a)
| ~ gg_TPTP_ind(X1) ),
inference(spm,[status(thm)],[539,493,theory(equality)]) ).
cnf(2590,plain,
( pp(aa_TPTP_ind_bool(aTP_Lamm_aa,X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,aa_TPTP_ind_TPTP_ind(scratc912327602rdsucc,X1)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1549486784bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1715799339d_plus,scratc45782132nd_n_1)),X1))) ),
inference(rw,[status(thm)],[1495,1415,theory(equality)]) ).
cnf(2698,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1549486784bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1715799339d_plus,scratc45782132nd_n_1)),X1)),aa_TPTP_ind_TPTP_ind(scratc912327602rdsucc,X1)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bu,X1)) ),
inference(rw,[status(thm)],[1501,1415,theory(equality)]) ).
cnf(2701,plain,
( aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1549486784bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1715799339d_plus,scratc45782132nd_n_1)),X1) = aa_TPTP_ind_TPTP_ind(scratc912327602rdsucc,X1)
| ~ gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(scratc912327602rdsucc,X1))
| ~ gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1549486784bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1715799339d_plus,scratc45782132nd_n_1)),X1))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bu,X1)) ),
inference(spm,[status(thm)],[717,2698,theory(equality)]) ).
cnf(2704,plain,
( aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1549486784bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1715799339d_plus,scratc45782132nd_n_1)),X1) = aa_TPTP_ind_TPTP_ind(scratc912327602rdsucc,X1)
| $false
| ~ gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1549486784bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1715799339d_plus,scratc45782132nd_n_1)),X1))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bu,X1)) ),
inference(rw,[status(thm)],[2701,922,theory(equality)]) ).
cnf(2705,plain,
( aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1549486784bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1715799339d_plus,scratc45782132nd_n_1)),X1) = aa_TPTP_ind_TPTP_ind(scratc912327602rdsucc,X1)
| $false
| $false
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bu,X1)) ),
inference(rw,[status(thm)],[2704,922,theory(equality)]) ).
cnf(2706,plain,
( aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1549486784bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1715799339d_plus,scratc45782132nd_n_1)),X1) = aa_TPTP_ind_TPTP_ind(scratc912327602rdsucc,X1)
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bu,X1)) ),
inference(cn,[status(thm)],[2705,theory(equality)]) ).
cnf(4242,plain,
( aa_fun171081125l_bool(scratc1829701671all_of(aTP_Lamm_a),aTP_Lamm_aa) = fFalse
| ~ pp(fTrue) ),
inference(spm,[status(thm)],[353,1520,theory(equality)]) ).
cnf(4360,plain,
( aa_fun171081125l_bool(scratc1829701671all_of(aTP_Lamm_a),aTP_Lamm_aa) = fFalse
| $false ),
inference(rw,[status(thm)],[4242,1202,theory(equality)]) ).
cnf(4361,plain,
aa_fun171081125l_bool(scratc1829701671all_of(aTP_Lamm_a),aTP_Lamm_aa) = fFalse,
inference(cn,[status(thm)],[4360,theory(equality)]) ).
cnf(4480,negated_conjecture,
~ pp(fFalse),
inference(rw,[status(thm)],[353,4361,theory(equality)]) ).
cnf(4557,plain,
( pp(aa_fun171081125l_bool(scratc1829701671all_of(X1),X2))
| aa_TPTP_ind_bool(X2,esk4_2(X1,X2)) = fFalse
| ~ pp(fTrue) ),
inference(spm,[status(thm)],[536,1524,theory(equality)]) ).
cnf(4815,plain,
( pp(aa_fun171081125l_bool(scratc1829701671all_of(X1),X2))
| aa_TPTP_ind_bool(X2,esk4_2(X1,X2)) = fFalse
| $false ),
inference(rw,[status(thm)],[4557,1202,theory(equality)]) ).
cnf(4816,plain,
( pp(aa_fun171081125l_bool(scratc1829701671all_of(X1),X2))
| aa_TPTP_ind_bool(X2,esk4_2(X1,X2)) = fFalse ),
inference(cn,[status(thm)],[4815,theory(equality)]) ).
cnf(12610,plain,
( pp(aa_TPTP_ind_bool(aTP_Lamm_bu,esk4_2(aTP_Lamm_a,X1)))
| pp(aa_fun171081125l_bool(scratc1829701671all_of(aTP_Lamm_a),X1))
| ~ gg_TPTP_ind(esk4_2(aTP_Lamm_a,X1)) ),
inference(spm,[status(thm)],[1782,537,theory(equality)]) ).
cnf(105035,plain,
( pp(aa_TPTP_ind_bool(aTP_Lamm_aa,X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,aa_TPTP_ind_TPTP_ind(scratc912327602rdsucc,X1)),aa_TPTP_ind_TPTP_ind(scratc912327602rdsucc,X1)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bu,X1)) ),
inference(spm,[status(thm)],[2590,2706,theory(equality)]) ).
cnf(105100,plain,
( pp(aa_TPTP_ind_bool(aTP_Lamm_aa,X1))
| $false
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bu,X1)) ),
inference(rw,[status(thm)],[105035,1571,theory(equality)]) ).
cnf(105101,plain,
( pp(aa_TPTP_ind_bool(aTP_Lamm_aa,X1))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bu,X1)) ),
inference(cn,[status(thm)],[105100,theory(equality)]) ).
cnf(105175,plain,
( pp(fFalse)
| pp(aa_fun171081125l_bool(scratc1829701671all_of(X1),aTP_Lamm_aa))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bu,esk4_2(X1,aTP_Lamm_aa))) ),
inference(spm,[status(thm)],[105101,4816,theory(equality)]) ).
cnf(105212,plain,
( pp(aa_fun171081125l_bool(scratc1829701671all_of(X1),aTP_Lamm_aa))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bu,esk4_2(X1,aTP_Lamm_aa))) ),
inference(sr,[status(thm)],[105175,4480,theory(equality)]) ).
cnf(1310421,plain,
( pp(aa_TPTP_ind_bool(aTP_Lamm_bu,esk4_2(aTP_Lamm_a,X1)))
| pp(aa_fun171081125l_bool(scratc1829701671all_of(aTP_Lamm_a),X1)) ),
inference(csr,[status(thm)],[12610,538]) ).
cnf(1310435,plain,
pp(aa_fun171081125l_bool(scratc1829701671all_of(aTP_Lamm_a),aTP_Lamm_aa)),
inference(spm,[status(thm)],[105212,1310421,theory(equality)]) ).
cnf(1310476,plain,
pp(fFalse),
inference(rw,[status(thm)],[1310435,4361,theory(equality)]) ).
cnf(1310477,plain,
$false,
inference(sr,[status(thm)],[1310476,4480,theory(equality)]) ).
cnf(1310478,plain,
$false,
1310477,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM641+4 : TPTP v7.3.0. Released v7.3.0.
% 0.00/0.05 % Command : sine.py -e eprover -t %d %s
% 0.03/0.27 % Computer : n189.star.cs.uiowa.edu
% 0.03/0.27 % Model : x86_64 x86_64
% 0.03/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.27 % Memory : 32218.5MB
% 0.03/0.27 % OS : Linux 3.10.0-862.11.6.el7.x86_64
% 0.03/0.27 % CPULimit : 300
% 0.03/0.27 % DateTime : Fri Feb 22 15:49:12 CST 2019
% 0.03/0.27 % CPUTime :
% 0.07/0.32 % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.32 --creating new selector for []
% 29.08/29.47 eprover: CPU time limit exceeded, terminating
% 109.49/110.51 -running prover on /export/starexec/sandbox/tmp/tmpRrkGty/sel_theBenchmark.p_1 with time limit 29
% 109.49/110.51 -running prover with command ['/export/starexec/sandbox/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/export/starexec/sandbox/tmp/tmpRrkGty/sel_theBenchmark.p_1']
% 109.49/110.51 -prover status ResourceOut
% 109.49/110.51 -running prover on /export/starexec/sandbox/tmp/tmpRrkGty/sel_theBenchmark.p_2 with time limit 81
% 109.49/110.51 -running prover with command ['/export/starexec/sandbox/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=81', '/export/starexec/sandbox/tmp/tmpRrkGty/sel_theBenchmark.p_2']
% 109.49/110.51 -prover status Theorem
% 109.49/110.51 Problem theBenchmark.p solved in phase 1.
% 109.49/110.51 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 109.49/110.51 % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 109.49/110.51 Solved 1 out of 1.
% 109.49/110.51 # Problem is unsatisfiable (or provable), constructing proof object
% 109.49/110.51 # SZS status Theorem
% 109.49/110.51 # SZS output start CNFRefutation.
% See solution above
% 109.49/110.53 # SZS output end CNFRefutation
%------------------------------------------------------------------------------