TSTP Solution File: NUM639+4 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM639+4 : TPTP v7.3.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : sine.py -e eprover -t %d %s
% Computer : n191.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 109.02s
% Output : CNFRefutation 109.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 14
% Syntax : Number of formulae : 78 ( 30 unt; 0 def)
% Number of atoms : 194 ( 17 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 191 ( 75 ~; 87 |; 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 : 93 ( 5 sgn 51 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(5,conjecture,
pp(aa_fun171081125l_bool(scratc1153622423all_of(aTP_Lamm_a),aTP_Lamm_aa)),
file('/export/starexec/sandbox2/tmp/tmpjvAmNC/sel_theBenchmark.p_2',conj_0) ).
fof(61,axiom,
! [X5,X6] :
( pp(aa_fun171081125l_bool(scratc1153622423all_of(X5),X6))
<=> ! [X23] :
( gg_TPTP_ind(X23)
=> ( scratc1829621698_is_of(X23,X5)
=> pp(aa_TPTP_ind_bool(X6,X23)) ) ) ),
file('/export/starexec/sandbox2/tmp/tmpjvAmNC/sel_theBenchmark.p_2',fact_def__all__of) ).
fof(73,axiom,
! [X10] :
( gg_bool(X10)
=> ( equal(X10,fTrue)
| equal(X10,fFalse) ) ),
file('/export/starexec/sandbox2/tmp/tmpjvAmNC/sel_theBenchmark.p_2',help_fFalse_1_1_T) ).
fof(74,axiom,
! [X5] : equal(scratc1770836270d_e_is(X5),fequal_TPTP_ind),
file('/export/starexec/sandbox2/tmp/tmpjvAmNC/sel_theBenchmark.p_2',fact_def__e__is) ).
fof(87,axiom,
! [X22,X28] :
( ~ equal(X22,X28)
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X22),X28)) ),
file('/export/starexec/sandbox2/tmp/tmpjvAmNC/sel_theBenchmark.p_2',help_fequal_2_1_fequal_001t__TPTP____Interpret__Oind_T) ).
fof(89,axiom,
! [X5] : equal(scratc1289955817d_n_pl(X5),aa_TPT1424761345TP_ind(scratc932095312bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1884559291d_plus,X5))),
file('/export/starexec/sandbox2/tmp/tmpjvAmNC/sel_theBenchmark.p_2',fact_def__n__pl) ).
fof(91,axiom,
pp(aa_fun171081125l_bool(scratc1153622423all_of(aTP_Lamm_a),aTP_Lamm_bu)),
file('/export/starexec/sandbox2/tmp/tmpjvAmNC/sel_theBenchmark.p_2',fact_satz4a) ).
fof(97,axiom,
equal(scratc1289496631d_n_is,scratc1770836270d_e_is(scratc1472361728nd_nat)),
file('/export/starexec/sandbox2/tmp/tmpjvAmNC/sel_theBenchmark.p_2',fact_def__n__is) ).
fof(118,axiom,
! [X22,X28] :
( ( gg_TPTP_ind(X22)
& gg_TPTP_ind(X28) )
=> ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X22),X28))
| equal(X22,X28) ) ),
file('/export/starexec/sandbox2/tmp/tmpjvAmNC/sel_theBenchmark.p_2',help_fequal_1_1_fequal_001t__TPTP____Interpret__Oind_T) ).
fof(129,axiom,
! [X8,X9] : gg_bool(aa_fun171081125l_bool(X8,X9)),
file('/export/starexec/sandbox2/tmp/tmpjvAmNC/sel_theBenchmark.p_2',gsy_c_aa_001t__fun_It__TPTP____Interpret__Oind_Mt__HOL__Obool_J_001t__HOL__Obool) ).
fof(180,axiom,
! [X8,X9] : gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(X8,X9)),
file('/export/starexec/sandbox2/tmp/tmpjvAmNC/sel_theBenchmark.p_2',gsy_c_aa_001t__TPTP____Interpret__Oind_001t__TPTP____Interpret__Oind) ).
fof(207,axiom,
! [X13] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_bu,X13))
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1289496631d_n_is,aa_TPTP_ind_TPTP_ind(scratc1289955817d_n_pl(X13),scratc214542084nd_n_1)),aa_TPTP_ind_TPTP_ind(scratc236248354rdsucc,X13))) ),
file('/export/starexec/sandbox2/tmp/tmpjvAmNC/sel_theBenchmark.p_2',fact_ATP_Olambda__3) ).
fof(257,axiom,
pp(fTrue),
file('/export/starexec/sandbox2/tmp/tmpjvAmNC/sel_theBenchmark.p_2',help_pp_2_1_U) ).
fof(317,axiom,
! [X13] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_aa,X13))
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1289496631d_n_is,aa_TPTP_ind_TPTP_ind(scratc236248354rdsucc,X13)),aa_TPTP_ind_TPTP_ind(scratc1289955817d_n_pl(X13),scratc214542084nd_n_1))) ),
file('/export/starexec/sandbox2/tmp/tmpjvAmNC/sel_theBenchmark.p_2',fact_ATP_Olambda__7) ).
fof(318,negated_conjecture,
~ pp(aa_fun171081125l_bool(scratc1153622423all_of(aTP_Lamm_a),aTP_Lamm_aa)),
inference(assume_negation,[status(cth)],[5]) ).
fof(319,negated_conjecture,
~ pp(aa_fun171081125l_bool(scratc1153622423all_of(aTP_Lamm_a),aTP_Lamm_aa)),
inference(fof_simplification,[status(thm)],[318,theory(equality)]) ).
fof(323,plain,
! [X22,X28] :
( ( gg_TPTP_ind(X22)
& gg_TPTP_ind(X28) )
=> ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X22),X28))
| equal(X22,X28) ) ),
inference(fof_simplification,[status(thm)],[118,theory(equality)]) ).
cnf(348,negated_conjecture,
~ pp(aa_fun171081125l_bool(scratc1153622423all_of(aTP_Lamm_a),aTP_Lamm_aa)),
inference(split_conjunct,[status(thm)],[319]) ).
fof(509,plain,
! [X5,X6] :
( ( ~ pp(aa_fun171081125l_bool(scratc1153622423all_of(X5),X6))
| ! [X23] :
( ~ gg_TPTP_ind(X23)
| ~ scratc1829621698_is_of(X23,X5)
| pp(aa_TPTP_ind_bool(X6,X23)) ) )
& ( ? [X23] :
( gg_TPTP_ind(X23)
& scratc1829621698_is_of(X23,X5)
& ~ pp(aa_TPTP_ind_bool(X6,X23)) )
| pp(aa_fun171081125l_bool(scratc1153622423all_of(X5),X6)) ) ),
inference(fof_nnf,[status(thm)],[61]) ).
fof(510,plain,
! [X24,X25] :
( ( ~ pp(aa_fun171081125l_bool(scratc1153622423all_of(X24),X25))
| ! [X26] :
( ~ gg_TPTP_ind(X26)
| ~ scratc1829621698_is_of(X26,X24)
| pp(aa_TPTP_ind_bool(X25,X26)) ) )
& ( ? [X27] :
( gg_TPTP_ind(X27)
& scratc1829621698_is_of(X27,X24)
& ~ pp(aa_TPTP_ind_bool(X25,X27)) )
| pp(aa_fun171081125l_bool(scratc1153622423all_of(X24),X25)) ) ),
inference(variable_rename,[status(thm)],[509]) ).
fof(511,plain,
! [X24,X25] :
( ( ~ pp(aa_fun171081125l_bool(scratc1153622423all_of(X24),X25))
| ! [X26] :
( ~ gg_TPTP_ind(X26)
| ~ scratc1829621698_is_of(X26,X24)
| pp(aa_TPTP_ind_bool(X25,X26)) ) )
& ( ( gg_TPTP_ind(esk4_2(X24,X25))
& scratc1829621698_is_of(esk4_2(X24,X25),X24)
& ~ pp(aa_TPTP_ind_bool(X25,esk4_2(X24,X25))) )
| pp(aa_fun171081125l_bool(scratc1153622423all_of(X24),X25)) ) ),
inference(skolemize,[status(esa)],[510]) ).
fof(512,plain,
! [X24,X25,X26] :
( ( ~ gg_TPTP_ind(X26)
| ~ scratc1829621698_is_of(X26,X24)
| pp(aa_TPTP_ind_bool(X25,X26))
| ~ pp(aa_fun171081125l_bool(scratc1153622423all_of(X24),X25)) )
& ( ( gg_TPTP_ind(esk4_2(X24,X25))
& scratc1829621698_is_of(esk4_2(X24,X25),X24)
& ~ pp(aa_TPTP_ind_bool(X25,esk4_2(X24,X25))) )
| pp(aa_fun171081125l_bool(scratc1153622423all_of(X24),X25)) ) ),
inference(shift_quantors,[status(thm)],[511]) ).
fof(513,plain,
! [X24,X25,X26] :
( ( ~ gg_TPTP_ind(X26)
| ~ scratc1829621698_is_of(X26,X24)
| pp(aa_TPTP_ind_bool(X25,X26))
| ~ pp(aa_fun171081125l_bool(scratc1153622423all_of(X24),X25)) )
& ( gg_TPTP_ind(esk4_2(X24,X25))
| pp(aa_fun171081125l_bool(scratc1153622423all_of(X24),X25)) )
& ( scratc1829621698_is_of(esk4_2(X24,X25),X24)
| pp(aa_fun171081125l_bool(scratc1153622423all_of(X24),X25)) )
& ( ~ pp(aa_TPTP_ind_bool(X25,esk4_2(X24,X25)))
| pp(aa_fun171081125l_bool(scratc1153622423all_of(X24),X25)) ) ),
inference(distribute,[status(thm)],[512]) ).
cnf(514,plain,
( pp(aa_fun171081125l_bool(scratc1153622423all_of(X1),X2))
| ~ pp(aa_TPTP_ind_bool(X2,esk4_2(X1,X2))) ),
inference(split_conjunct,[status(thm)],[513]) ).
cnf(515,plain,
( pp(aa_fun171081125l_bool(scratc1153622423all_of(X1),X2))
| scratc1829621698_is_of(esk4_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[513]) ).
cnf(516,plain,
( pp(aa_fun171081125l_bool(scratc1153622423all_of(X1),X2))
| gg_TPTP_ind(esk4_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[513]) ).
cnf(517,plain,
( pp(aa_TPTP_ind_bool(X2,X3))
| ~ pp(aa_fun171081125l_bool(scratc1153622423all_of(X1),X2))
| ~ scratc1829621698_is_of(X3,X1)
| ~ gg_TPTP_ind(X3) ),
inference(split_conjunct,[status(thm)],[513]) ).
fof(563,plain,
! [X10] :
( ~ gg_bool(X10)
| equal(X10,fTrue)
| equal(X10,fFalse) ),
inference(fof_nnf,[status(thm)],[73]) ).
fof(564,plain,
! [X11] :
( ~ gg_bool(X11)
| equal(X11,fTrue)
| equal(X11,fFalse) ),
inference(variable_rename,[status(thm)],[563]) ).
cnf(565,plain,
( X1 = fFalse
| X1 = fTrue
| ~ gg_bool(X1) ),
inference(split_conjunct,[status(thm)],[564]) ).
fof(566,plain,
! [X6] : equal(scratc1770836270d_e_is(X6),fequal_TPTP_ind),
inference(variable_rename,[status(thm)],[74]) ).
cnf(567,plain,
scratc1770836270d_e_is(X1) = fequal_TPTP_ind,
inference(split_conjunct,[status(thm)],[566]) ).
fof(601,plain,
! [X29,X30] :
( ~ equal(X29,X30)
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X29),X30)) ),
inference(variable_rename,[status(thm)],[87]) ).
cnf(602,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X1),X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[601]) ).
fof(607,plain,
! [X6] : equal(scratc1289955817d_n_pl(X6),aa_TPT1424761345TP_ind(scratc932095312bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1884559291d_plus,X6))),
inference(variable_rename,[status(thm)],[89]) ).
cnf(608,plain,
scratc1289955817d_n_pl(X1) = aa_TPT1424761345TP_ind(scratc932095312bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1884559291d_plus,X1)),
inference(split_conjunct,[status(thm)],[607]) ).
cnf(611,plain,
pp(aa_fun171081125l_bool(scratc1153622423all_of(aTP_Lamm_a),aTP_Lamm_bu)),
inference(split_conjunct,[status(thm)],[91]) ).
cnf(633,plain,
scratc1289496631d_n_is = scratc1770836270d_e_is(scratc1472361728nd_nat),
inference(split_conjunct,[status(thm)],[97]) ).
fof(698,plain,
! [X22,X28] :
( ~ gg_TPTP_ind(X22)
| ~ gg_TPTP_ind(X28)
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X22),X28))
| equal(X22,X28) ),
inference(fof_nnf,[status(thm)],[323]) ).
fof(699,plain,
! [X29,X30] :
( ~ gg_TPTP_ind(X29)
| ~ gg_TPTP_ind(X30)
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X29),X30))
| equal(X29,X30) ),
inference(variable_rename,[status(thm)],[698]) ).
cnf(700,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)],[699]) ).
fof(734,plain,
! [X10,X11] : gg_bool(aa_fun171081125l_bool(X10,X11)),
inference(variable_rename,[status(thm)],[129]) ).
cnf(735,plain,
gg_bool(aa_fun171081125l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[734]) ).
fof(904,plain,
! [X10,X11] : gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(X10,X11)),
inference(variable_rename,[status(thm)],[180]) ).
cnf(905,plain,
gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(X1,X2)),
inference(split_conjunct,[status(thm)],[904]) ).
fof(994,plain,
! [X13] :
( ( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bu,X13))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1289496631d_n_is,aa_TPTP_ind_TPTP_ind(scratc1289955817d_n_pl(X13),scratc214542084nd_n_1)),aa_TPTP_ind_TPTP_ind(scratc236248354rdsucc,X13))) )
& ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1289496631d_n_is,aa_TPTP_ind_TPTP_ind(scratc1289955817d_n_pl(X13),scratc214542084nd_n_1)),aa_TPTP_ind_TPTP_ind(scratc236248354rdsucc,X13)))
| pp(aa_TPTP_ind_bool(aTP_Lamm_bu,X13)) ) ),
inference(fof_nnf,[status(thm)],[207]) ).
fof(995,plain,
! [X14] :
( ( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bu,X14))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1289496631d_n_is,aa_TPTP_ind_TPTP_ind(scratc1289955817d_n_pl(X14),scratc214542084nd_n_1)),aa_TPTP_ind_TPTP_ind(scratc236248354rdsucc,X14))) )
& ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1289496631d_n_is,aa_TPTP_ind_TPTP_ind(scratc1289955817d_n_pl(X14),scratc214542084nd_n_1)),aa_TPTP_ind_TPTP_ind(scratc236248354rdsucc,X14)))
| pp(aa_TPTP_ind_bool(aTP_Lamm_bu,X14)) ) ),
inference(variable_rename,[status(thm)],[994]) ).
cnf(997,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1289496631d_n_is,aa_TPTP_ind_TPTP_ind(scratc1289955817d_n_pl(X1),scratc214542084nd_n_1)),aa_TPTP_ind_TPTP_ind(scratc236248354rdsucc,X1)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bu,X1)) ),
inference(split_conjunct,[status(thm)],[995]) ).
cnf(1182,plain,
pp(fTrue),
inference(split_conjunct,[status(thm)],[257]) ).
fof(1375,plain,
! [X13] :
( ( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_aa,X13))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1289496631d_n_is,aa_TPTP_ind_TPTP_ind(scratc236248354rdsucc,X13)),aa_TPTP_ind_TPTP_ind(scratc1289955817d_n_pl(X13),scratc214542084nd_n_1))) )
& ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1289496631d_n_is,aa_TPTP_ind_TPTP_ind(scratc236248354rdsucc,X13)),aa_TPTP_ind_TPTP_ind(scratc1289955817d_n_pl(X13),scratc214542084nd_n_1)))
| pp(aa_TPTP_ind_bool(aTP_Lamm_aa,X13)) ) ),
inference(fof_nnf,[status(thm)],[317]) ).
fof(1376,plain,
! [X14] :
( ( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_aa,X14))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1289496631d_n_is,aa_TPTP_ind_TPTP_ind(scratc236248354rdsucc,X14)),aa_TPTP_ind_TPTP_ind(scratc1289955817d_n_pl(X14),scratc214542084nd_n_1))) )
& ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1289496631d_n_is,aa_TPTP_ind_TPTP_ind(scratc236248354rdsucc,X14)),aa_TPTP_ind_TPTP_ind(scratc1289955817d_n_pl(X14),scratc214542084nd_n_1)))
| pp(aa_TPTP_ind_bool(aTP_Lamm_aa,X14)) ) ),
inference(variable_rename,[status(thm)],[1375]) ).
cnf(1377,plain,
( pp(aa_TPTP_ind_bool(aTP_Lamm_aa,X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1289496631d_n_is,aa_TPTP_ind_TPTP_ind(scratc236248354rdsucc,X1)),aa_TPTP_ind_TPTP_ind(scratc1289955817d_n_pl(X1),scratc214542084nd_n_1))) ),
inference(split_conjunct,[status(thm)],[1376]) ).
cnf(1396,plain,
fequal_TPTP_ind = scratc1289496631d_n_is,
inference(rw,[status(thm)],[633,567,theory(equality)]),
[unfolding] ).
cnf(1475,plain,
( pp(aa_TPTP_ind_bool(aTP_Lamm_aa,X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1289496631d_n_is,aa_TPTP_ind_TPTP_ind(scratc236248354rdsucc,X1)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc932095312bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1884559291d_plus,X1)),scratc214542084nd_n_1))) ),
inference(rw,[status(thm)],[1377,608,theory(equality)]),
[unfolding] ).
cnf(1479,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1289496631d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc932095312bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1884559291d_plus,X1)),scratc214542084nd_n_1)),aa_TPTP_ind_TPTP_ind(scratc236248354rdsucc,X1)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bu,X1)) ),
inference(rw,[status(thm)],[997,608,theory(equality)]),
[unfolding] ).
cnf(1499,plain,
( fTrue = aa_fun171081125l_bool(X1,X2)
| fFalse = aa_fun171081125l_bool(X1,X2) ),
inference(spm,[status(thm)],[565,735,theory(equality)]) ).
cnf(1548,plain,
pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X1),X1)),
inference(er,[status(thm)],[602,theory(equality)]) ).
cnf(1749,plain,
( pp(aa_TPTP_ind_bool(aTP_Lamm_bu,X1))
| ~ scratc1829621698_is_of(X1,aTP_Lamm_a)
| ~ gg_TPTP_ind(X1) ),
inference(spm,[status(thm)],[517,611,theory(equality)]) ).
cnf(2558,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(scratc236248354rdsucc,X1)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc932095312bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1884559291d_plus,X1)),scratc214542084nd_n_1))) ),
inference(rw,[status(thm)],[1475,1396,theory(equality)]) ).
cnf(2685,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc932095312bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1884559291d_plus,X1)),scratc214542084nd_n_1)),aa_TPTP_ind_TPTP_ind(scratc236248354rdsucc,X1)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bu,X1)) ),
inference(rw,[status(thm)],[1479,1396,theory(equality)]) ).
cnf(2688,plain,
( aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc932095312bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1884559291d_plus,X1)),scratc214542084nd_n_1) = aa_TPTP_ind_TPTP_ind(scratc236248354rdsucc,X1)
| ~ gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(scratc236248354rdsucc,X1))
| ~ gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc932095312bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1884559291d_plus,X1)),scratc214542084nd_n_1))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bu,X1)) ),
inference(spm,[status(thm)],[700,2685,theory(equality)]) ).
cnf(2691,plain,
( aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc932095312bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1884559291d_plus,X1)),scratc214542084nd_n_1) = aa_TPTP_ind_TPTP_ind(scratc236248354rdsucc,X1)
| $false
| ~ gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc932095312bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1884559291d_plus,X1)),scratc214542084nd_n_1))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bu,X1)) ),
inference(rw,[status(thm)],[2688,905,theory(equality)]) ).
cnf(2692,plain,
( aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc932095312bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1884559291d_plus,X1)),scratc214542084nd_n_1) = aa_TPTP_ind_TPTP_ind(scratc236248354rdsucc,X1)
| $false
| $false
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bu,X1)) ),
inference(rw,[status(thm)],[2691,905,theory(equality)]) ).
cnf(2693,plain,
( aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc932095312bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1884559291d_plus,X1)),scratc214542084nd_n_1) = aa_TPTP_ind_TPTP_ind(scratc236248354rdsucc,X1)
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bu,X1)) ),
inference(cn,[status(thm)],[2692,theory(equality)]) ).
cnf(4113,plain,
( aa_fun171081125l_bool(scratc1153622423all_of(aTP_Lamm_a),aTP_Lamm_aa) = fFalse
| ~ pp(fTrue) ),
inference(spm,[status(thm)],[348,1499,theory(equality)]) ).
cnf(4226,plain,
( aa_fun171081125l_bool(scratc1153622423all_of(aTP_Lamm_a),aTP_Lamm_aa) = fFalse
| $false ),
inference(rw,[status(thm)],[4113,1182,theory(equality)]) ).
cnf(4227,plain,
aa_fun171081125l_bool(scratc1153622423all_of(aTP_Lamm_a),aTP_Lamm_aa) = fFalse,
inference(cn,[status(thm)],[4226,theory(equality)]) ).
cnf(4343,negated_conjecture,
~ pp(fFalse),
inference(rw,[status(thm)],[348,4227,theory(equality)]) ).
cnf(12122,plain,
( pp(aa_TPTP_ind_bool(aTP_Lamm_bu,esk4_2(aTP_Lamm_a,X1)))
| pp(aa_fun171081125l_bool(scratc1153622423all_of(aTP_Lamm_a),X1))
| ~ gg_TPTP_ind(esk4_2(aTP_Lamm_a,X1)) ),
inference(spm,[status(thm)],[1749,515,theory(equality)]) ).
cnf(129888,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(scratc236248354rdsucc,X1)),aa_TPTP_ind_TPTP_ind(scratc236248354rdsucc,X1)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bu,X1)) ),
inference(spm,[status(thm)],[2558,2693,theory(equality)]) ).
cnf(129935,plain,
( pp(aa_TPTP_ind_bool(aTP_Lamm_aa,X1))
| $false
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bu,X1)) ),
inference(rw,[status(thm)],[129888,1548,theory(equality)]) ).
cnf(129936,plain,
( pp(aa_TPTP_ind_bool(aTP_Lamm_aa,X1))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bu,X1)) ),
inference(cn,[status(thm)],[129935,theory(equality)]) ).
cnf(130060,plain,
( pp(aa_fun171081125l_bool(scratc1153622423all_of(X1),aTP_Lamm_aa))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bu,esk4_2(X1,aTP_Lamm_aa))) ),
inference(spm,[status(thm)],[514,129936,theory(equality)]) ).
cnf(1105673,plain,
( pp(aa_TPTP_ind_bool(aTP_Lamm_bu,esk4_2(aTP_Lamm_a,X1)))
| pp(aa_fun171081125l_bool(scratc1153622423all_of(aTP_Lamm_a),X1)) ),
inference(csr,[status(thm)],[12122,516]) ).
cnf(1105686,plain,
pp(aa_fun171081125l_bool(scratc1153622423all_of(aTP_Lamm_a),aTP_Lamm_aa)),
inference(spm,[status(thm)],[130060,1105673,theory(equality)]) ).
cnf(1105733,plain,
pp(fFalse),
inference(rw,[status(thm)],[1105686,4227,theory(equality)]) ).
cnf(1105734,plain,
$false,
inference(sr,[status(thm)],[1105733,4343,theory(equality)]) ).
cnf(1105735,plain,
$false,
1105734,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM639+4 : TPTP v7.3.0. Released v7.3.0.
% 0.00/0.05 % Command : sine.py -e eprover -t %d %s
% 0.03/0.26 % Computer : n191.star.cs.uiowa.edu
% 0.03/0.26 % Model : x86_64 x86_64
% 0.03/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.26 % Memory : 32218.5MB
% 0.03/0.26 % OS : Linux 3.10.0-862.11.6.el7.x86_64
% 0.03/0.26 % CPULimit : 300
% 0.03/0.26 % DateTime : Fri Feb 22 15:19:56 CST 2019
% 0.03/0.27 % CPUTime :
% 0.08/0.31 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.31 --creating new selector for []
% 29.12/29.46 eprover: CPU time limit exceeded, terminating
% 109.02/109.77 -running prover on /export/starexec/sandbox2/tmp/tmpjvAmNC/sel_theBenchmark.p_1 with time limit 29
% 109.02/109.77 -running prover with command ['/export/starexec/sandbox2/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/export/starexec/sandbox2/tmp/tmpjvAmNC/sel_theBenchmark.p_1']
% 109.02/109.77 -prover status ResourceOut
% 109.02/109.77 -running prover on /export/starexec/sandbox2/tmp/tmpjvAmNC/sel_theBenchmark.p_2 with time limit 81
% 109.02/109.77 -running prover with command ['/export/starexec/sandbox2/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=81', '/export/starexec/sandbox2/tmp/tmpjvAmNC/sel_theBenchmark.p_2']
% 109.02/109.77 -prover status Theorem
% 109.02/109.77 Problem theBenchmark.p solved in phase 1.
% 109.02/109.77 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 109.02/109.77 % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 109.02/109.77 Solved 1 out of 1.
% 109.02/109.77 # Problem is unsatisfiable (or provable), constructing proof object
% 109.02/109.77 # SZS status Theorem
% 109.02/109.77 # SZS output start CNFRefutation.
% See solution above
% 109.02/109.79 # SZS output end CNFRefutation
%------------------------------------------------------------------------------