%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : NUM639+4 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:49:53 PM UTC 2026
% Result : Theorem 206.98s 30.43s
% Output : CNFRefutation 206.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 15
% Syntax : Number of formulae : 64 ( 31 unt; 0 def)
% Number of atoms : 125 ( 27 equ)
% Maximal formula atoms : 10 ( 1 avg)
% Number of connectives : 106 ( 45 ~; 46 |; 7 &)
% ( 3 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 12 con; 0-2 aty)
% Number of variables : 72 ( 5 sgn 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_ATP_Olambda__3,axiom,
! [X25] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_bu,X25))
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1289496631d_n_is,aa_TPTP_ind_TPTP_ind(scratc1289955817d_n_pl(X25),scratc214542084nd_n_1)),aa_TPTP_ind_TPTP_ind(scratc236248354rdsucc,X25))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__3) ).
fof(fact_def__n__pl,axiom,
! [X4] : scratc1289955817d_n_pl(X4) = aa_TPT1424761345TP_ind(scratc932095312bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1884559291d_plus,X4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__n__pl) ).
fof(fact_def__e__is,axiom,
! [X4] : scratc1770836270d_e_is(X4) = fequal_TPTP_ind,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__e__is) ).
fof(fact_ATP_Olambda__7,axiom,
! [X25] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_aa,X25))
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1289496631d_n_is,aa_TPTP_ind_TPTP_ind(scratc236248354rdsucc,X25)),aa_TPTP_ind_TPTP_ind(scratc1289955817d_n_pl(X25),scratc214542084nd_n_1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__7) ).
fof(help_fequal_1_1_fequal_001t__TPTP____Interpret__Oind_T,axiom,
! [X34,X35] :
( ( gg_TPTP_ind(X35)
& gg_TPTP_ind(X34) )
=> ( X34 = X35
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X34),X35)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fequal_1_1_fequal_001t__TPTP____Interpret__Oind_T) ).
fof(fact_def__n__is,axiom,
scratc1289496631d_n_is = scratc1770836270d_e_is(scratc1472361728nd_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__n__is) ).
fof(help_fequal_2_1_fequal_001t__TPTP____Interpret__Oind_T,axiom,
! [X34,X35] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X34),X35))
| X34 != X35 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fequal_2_1_fequal_001t__TPTP____Interpret__Oind_T) ).
fof(gsy_c_aa_001t__TPTP____Interpret__Oind_001t__TPTP____Interpret__Oind,axiom,
! [X1,X2] : gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_aa_001t__TPTP____Interpret__Oind_001t__TPTP____Interpret__Oind) ).
fof(conj_0,conjecture,
pp(aa_fun171081125l_bool(scratc1153622423all_of(aTP_Lamm_a),aTP_Lamm_aa)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(fact_def__all__of,axiom,
! [X4,X5] :
( pp(aa_fun171081125l_bool(scratc1153622423all_of(X4),X5))
<=> ! [X12] :
( gg_TPTP_ind(X12)
=> ( scratc1829621698_is_of(X12,X4)
=> pp(aa_TPTP_ind_bool(X5,X12)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__all__of) ).
fof(help_fFalse_1_1_T,axiom,
! [X32] :
( gg_bool(X32)
=> ( X32 = fFalse
| X32 = fTrue ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fFalse_1_1_T) ).
fof(gsy_c_aa_001t__fun_It__TPTP____Interpret__Oind_Mt__HOL__Obool_J_001t__HOL__Obool,hypothesis,
! [X1,X2] : gg_bool(aa_fun171081125l_bool(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_aa_001t__fun_It__TPTP____Interpret__Oind_Mt__HOL__Obool_J_001t__HOL__Obool) ).
fof(fact_satz4a,axiom,
pp(aa_fun171081125l_bool(scratc1153622423all_of(aTP_Lamm_a),aTP_Lamm_bu)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_satz4a) ).
fof(help_fFalse_1_1_U,axiom,
~ pp(fFalse),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fFalse_1_1_U) ).
fof(help_pp_2_1_U,axiom,
pp(fTrue),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_pp_2_1_U) ).
fof(c_0_15,plain,
! [X489] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_bu,X489))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1289496631d_n_is,aa_TPTP_ind_TPTP_ind(scratc1289955817d_n_pl(X489),scratc214542084nd_n_1)),aa_TPTP_ind_TPTP_ind(scratc236248354rdsucc,X489))) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1289496631d_n_is,aa_TPTP_ind_TPTP_ind(scratc1289955817d_n_pl(X489),scratc214542084nd_n_1)),aa_TPTP_ind_TPTP_ind(scratc236248354rdsucc,X489)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bu,X489)) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_ATP_Olambda__3])])]) ).
fof(c_0_16,plain,
! [X68] : scratc1289955817d_n_pl(X68) = aa_TPT1424761345TP_ind(scratc932095312bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1884559291d_plus,X68)),
inference(variable_rename,[status(thm)],[fact_def__n__pl]) ).
fof(c_0_17,plain,
! [X228] : scratc1770836270d_e_is(X228) = fequal_TPTP_ind,
inference(variable_rename,[status(thm)],[fact_def__e__is]) ).
fof(c_0_18,plain,
! [X493] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_aa,X493))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1289496631d_n_is,aa_TPTP_ind_TPTP_ind(scratc236248354rdsucc,X493)),aa_TPTP_ind_TPTP_ind(scratc1289955817d_n_pl(X493),scratc214542084nd_n_1))) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1289496631d_n_is,aa_TPTP_ind_TPTP_ind(scratc236248354rdsucc,X493)),aa_TPTP_ind_TPTP_ind(scratc1289955817d_n_pl(X493),scratc214542084nd_n_1)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_aa,X493)) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_ATP_Olambda__7])])]) ).
fof(c_0_19,plain,
! [X34,X35] :
( ( gg_TPTP_ind(X35)
& gg_TPTP_ind(X34) )
=> ( X34 = X35
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X34),X35)) ) ),
inference(fof_simplification,[status(thm)],[help_fequal_1_1_fequal_001t__TPTP____Interpret__Oind_T]) ).
cnf(c_0_20,plain,
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bu,X1))
| 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))) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_21,plain,
scratc1289955817d_n_pl(X1) = aa_TPT1424761345TP_ind(scratc932095312bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1884559291d_plus,X1)),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_22,plain,
scratc1289496631d_n_is = scratc1770836270d_e_is(scratc1472361728nd_nat),
inference(split_conjunct,[status(thm)],[fact_def__n__is]) ).
cnf(c_0_23,plain,
scratc1770836270d_e_is(X1) = fequal_TPTP_ind,
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_24,plain,
! [X34,X35] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X34),X35))
| X34 != X35 ),
inference(fof_simplification,[status(thm)],[help_fequal_2_1_fequal_001t__TPTP____Interpret__Oind_T]) ).
cnf(c_0_25,plain,
( ~ 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)))
| pp(aa_TPTP_ind_bool(aTP_Lamm_aa,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_26,plain,
! [X753,X754] :
( X753 = X754
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X753),X754))
| ~ gg_TPTP_ind(X754)
| ~ gg_TPTP_ind(X753) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])]) ).
cnf(c_0_27,plain,
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bu,X1))
| 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))) ),
inference(rw,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_28,plain,
fequal_TPTP_ind = scratc1289496631d_n_is,
inference(rw,[status(thm)],[c_0_22,c_0_23]) ).
fof(c_0_29,plain,
! [X59,X60] : gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(X59,X60)),
inference(variable_rename,[status(thm)],[gsy_c_aa_001t__TPTP____Interpret__Oind_001t__TPTP____Interpret__Oind]) ).
fof(c_0_30,plain,
! [X751,X752] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X751),X752))
| X751 != X752 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_24])]) ).
fof(c_0_31,negated_conjecture,
~ pp(aa_fun171081125l_bool(scratc1153622423all_of(aTP_Lamm_a),aTP_Lamm_aa)),
inference(assume_negation,[status(cth)],[conj_0]) ).
cnf(c_0_32,plain,
( ~ 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)))
| pp(aa_TPTP_ind_bool(aTP_Lamm_aa,X1)) ),
inference(rw,[status(thm)],[c_0_25,c_0_21]) ).
cnf(c_0_33,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X1),X2))
| ~ gg_TPTP_ind(X2)
| ~ gg_TPTP_ind(X1)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_34,plain,
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bu,X1))
| 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))) ),
inference(rw,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_35,plain,
gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_36,plain,
( X1 != X2
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
fof(c_0_37,plain,
! [X336,X337,X338,X339,X340] :
( ( pp(aa_fun171081125l_bool(scratc1153622423all_of(X339),X340))
| ~ pp(aa_TPTP_ind_bool(X340,esk13_2(X339,X340))) )
& ( pp(aa_fun171081125l_bool(scratc1153622423all_of(X339),X340))
| scratc1829621698_is_of(esk13_2(X339,X340),X339) )
& ( pp(aa_fun171081125l_bool(scratc1153622423all_of(X339),X340))
| gg_TPTP_ind(esk13_2(X339,X340)) )
& ( pp(aa_TPTP_ind_bool(X337,X338))
| ~ scratc1829621698_is_of(X338,X336)
| ~ gg_TPTP_ind(X338)
| ~ pp(aa_fun171081125l_bool(scratc1153622423all_of(X336),X337)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_def__all__of])])])])])])]) ).
fof(c_0_38,negated_conjecture,
~ pp(aa_fun171081125l_bool(scratc1153622423all_of(aTP_Lamm_a),aTP_Lamm_aa)),
inference(fof_simplification,[status(thm)],[c_0_31]) ).
fof(c_0_39,plain,
! [X742] :
( X742 = fFalse
| X742 = fTrue
| ~ gg_bool(X742) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[help_fFalse_1_1_T])])]) ).
fof(c_0_40,hypothesis,
! [X61,X62] : gg_bool(aa_fun171081125l_bool(X61,X62)),
inference(variable_rename,[status(thm)],[gsy_c_aa_001t__fun_It__TPTP____Interpret__Oind_Mt__HOL__Obool_J_001t__HOL__Obool]) ).
cnf(c_0_41,plain,
( ~ 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)))
| pp(aa_TPTP_ind_bool(aTP_Lamm_aa,X1)) ),
inference(rw,[status(thm)],[c_0_32,c_0_28]) ).
cnf(c_0_42,plain,
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bu,X1))
| 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) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]),c_0_35])]) ).
cnf(c_0_43,plain,
pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X1),X1)),
inference(er,[status(thm)],[c_0_36]) ).
cnf(c_0_44,plain,
( ~ scratc1829621698_is_of(X3,X1)
| ~ gg_TPTP_ind(X3)
| ~ pp(aa_fun171081125l_bool(scratc1153622423all_of(X1),X2))
| pp(aa_TPTP_ind_bool(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_45,plain,
pp(aa_fun171081125l_bool(scratc1153622423all_of(aTP_Lamm_a),aTP_Lamm_bu)),
inference(split_conjunct,[status(thm)],[fact_satz4a]) ).
fof(c_0_46,negated_conjecture,
~ pp(aa_fun171081125l_bool(scratc1153622423all_of(aTP_Lamm_a),aTP_Lamm_aa)),
inference(fof_nnf,[status(thm)],[c_0_38]) ).
cnf(c_0_47,plain,
( ~ gg_bool(X1)
| X1 = fFalse
| X1 = fTrue ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_48,hypothesis,
gg_bool(aa_fun171081125l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
fof(c_0_49,plain,
~ pp(fFalse),
inference(fof_simplification,[status(thm)],[help_fFalse_1_1_U]) ).
cnf(c_0_50,plain,
( ~ pp(aa_TPTP_ind_bool(X1,esk13_2(X2,X1)))
| pp(aa_fun171081125l_bool(scratc1153622423all_of(X2),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_51,plain,
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bu,X1))
| pp(aa_TPTP_ind_bool(aTP_Lamm_aa,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43])]) ).
cnf(c_0_52,plain,
( ~ gg_TPTP_ind(X1)
| ~ scratc1829621698_is_of(X1,aTP_Lamm_a)
| pp(aa_TPTP_ind_bool(aTP_Lamm_bu,X1)) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_53,plain,
( pp(aa_fun171081125l_bool(scratc1153622423all_of(X1),X2))
| scratc1829621698_is_of(esk13_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_54,plain,
( pp(aa_fun171081125l_bool(scratc1153622423all_of(X1),X2))
| gg_TPTP_ind(esk13_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_55,negated_conjecture,
~ pp(aa_fun171081125l_bool(scratc1153622423all_of(aTP_Lamm_a),aTP_Lamm_aa)),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_56,hypothesis,
( aa_fun171081125l_bool(X1,X2) = fFalse
| aa_fun171081125l_bool(X1,X2) = fTrue ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_57,plain,
pp(fTrue),
inference(split_conjunct,[status(thm)],[help_pp_2_1_U]) ).
fof(c_0_58,plain,
~ pp(fFalse),
inference(fof_nnf,[status(thm)],[c_0_49]) ).
cnf(c_0_59,plain,
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bu,esk13_2(X1,aTP_Lamm_aa)))
| pp(aa_fun171081125l_bool(scratc1153622423all_of(X1),aTP_Lamm_aa)) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_60,plain,
( pp(aa_fun171081125l_bool(scratc1153622423all_of(aTP_Lamm_a),X1))
| pp(aa_TPTP_ind_bool(aTP_Lamm_bu,esk13_2(aTP_Lamm_a,X1))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54]) ).
cnf(c_0_61,negated_conjecture,
aa_fun171081125l_bool(scratc1153622423all_of(aTP_Lamm_a),aTP_Lamm_aa) = fFalse,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57])]) ).
cnf(c_0_62,plain,
~ pp(fFalse),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_63,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61]),c_0_62]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM639+4 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n007.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 02:44:36 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 206.98/30.43 % Version: 3.5.1
% 206.98/30.43 % Preprocessing class: FSLMSMSMSSSNFFN.
% 206.98/30.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 206.98/30.43 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 206.98/30.43 % Starting new_bool_3 with 600s (2) cores
% 206.98/30.43 % Starting new_bool_1 with 300s (1) cores
% 206.98/30.43 % Starting sh5l with 300s (1) cores
% 206.98/30.43 % G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with pid 3709 completed with status 0
% 206.98/30.43 % Result found by G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S
% 206.98/30.43 % Preprocessing class: FSLMSMSMSSSNFFN.
% 206.98/30.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 206.98/30.43 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 206.98/30.43 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 206.98/30.43 % No SInE strategy applied
% 206.98/30.43 % Search class: FGHSM-FSLM31-DFFFFFNN
% 206.98/30.43 % Scheduled 7 strats onto 4 cores with 1200 seconds (1200 total)
% 206.98/30.43 % Starting SubtermCWHack with 109s (1) cores
% 206.98/30.43 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 121s (1) cores
% 206.98/30.43 % Starting C07_19_nc_SAT001_MinMin_p005000_rr with 283s (1) cores
% 206.98/30.43 % Starting U----_206c_10_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 109s (1) cores
% 206.98/30.43 % C07_19_nc_SAT001_MinMin_p005000_rr with pid 3731 completed with status 0
% 206.98/30.43 % Result found by C07_19_nc_SAT001_MinMin_p005000_rr
% 206.98/30.43 % Preprocessing class: FSLMSMSMSSSNFFN.
% 206.98/30.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 206.98/30.43 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 206.98/30.43 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 206.98/30.43 % No SInE strategy applied
% 206.98/30.43 % Search class: FGHSM-FSLM31-DFFFFFNN
% 206.98/30.43 % Scheduled 7 strats onto 4 cores with 1200 seconds (1200 total)
% 206.98/30.43 % Starting SubtermCWHack with 109s (1) cores
% 206.98/30.43 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 121s (1) cores
% 206.98/30.43 % Starting C07_19_nc_SAT001_MinMin_p005000_rr with 283s (1) cores
% 206.98/30.43 % Preprocessing time : 0.010 s
% 206.98/30.43 % Presaturation interreduction done
% 206.98/30.43
% 206.98/30.43 % Proof found!
% 206.98/30.43 % SZS status Theorem
% 206.98/30.43 % SZS output start CNFRefutation
% See solution above
% 206.98/30.43 % Parsed axioms : 317
% 206.98/30.43 % Removed by relevancy pruning/SinE : 0
% 206.98/30.43 % Initial clauses : 524
% 206.98/30.43 % Removed in clause preprocessing : 18
% 206.98/30.43 % Initial clauses in saturation : 506
% 206.98/30.43 % Processed clauses : 49195
% 206.98/30.43 % ...of these trivial : 271
% 206.98/30.43 % ...subsumed : 42721
% 206.98/30.43 % ...remaining for further processing : 6203
% 206.98/30.43 % Other redundant clauses eliminated : 71
% 206.98/30.43 % Clauses deleted for lack of memory : 0
% 206.98/30.43 % Backward-subsumed : 334
% 206.98/30.43 % Backward-rewritten : 522
% 206.98/30.43 % Generated clauses : 1480324
% 206.98/30.43 % ...of the previous two non-redundant : 1175437
% 206.98/30.43 % ...aggressively subsumed : 0
% 206.98/30.43 % Contextual simplify-reflections : 121
% 206.98/30.43 % Paramodulations : 1479998
% 206.98/30.43 % Factorizations : 251
% 206.98/30.43 % NegExts : 0
% 206.98/30.43 % Equation resolutions : 75
% 206.98/30.43 % Disequality decompositions : 0
% 206.98/30.43 % Total rewrite steps : 403976
% 206.98/30.43 % ...of those cached : 397948
% 206.98/30.43 % Propositional unsat checks : 1
% 206.98/30.43 % Propositional check models : 0
% 206.98/30.43 % Propositional check unsatisfiable : 0
% 206.98/30.43 % Propositional clauses : 0
% 206.98/30.43 % Propositional clauses after purity: 0
% 206.98/30.43 % Propositional unsat core size : 0
% 206.98/30.43 % Propositional preprocessing time : 0.000
% 206.98/30.43 % Propositional encoding time : 1.548
% 206.98/30.43 % Propositional solver time : 0.869
% 206.98/30.43 % Success case prop preproc time : 0.000
% 206.98/30.43 % Success case prop encoding time : 0.000
% 206.98/30.43 % Success case prop solver time : 0.000
% 206.98/30.43 % Current number of processed clauses : 4845
% 206.98/30.43 % Positive orientable unit clauses : 671
% 206.98/30.43 % Positive unorientable unit clauses: 23
% 206.98/30.43 % Negative unit clauses : 112
% 206.98/30.43 % Non-unit-clauses : 4039
% 206.98/30.43 % Current number of unprocessed clauses: 1096749
% 206.98/30.43 % ...number of literals in the above : 4018136
% 206.98/30.43 % Current number of archived formulas : 0
% 206.98/30.43 % Current number of archived clauses : 1366
% 206.98/30.43 % Clause-clause subsumption calls (NU) : 4708644
% 206.98/30.43 % Rec. Clause-clause subsumption calls : 2975051
% 206.98/30.43 % Non-unit clause-clause subsumptions : 25650
% 206.98/30.43 % Unit Clause-clause subsumption calls : 420943
% 206.98/30.43 % Rewrite failures with RHS unbound : 89
% 206.98/30.43 % BW rewrite match attempts : 6675
% 206.98/30.43 % BW rewrite match successes : 230
% 206.98/30.43 % Condensation attempts : 0
% 206.98/30.43 % Condensation successes : 0
% 206.98/30.43 % Termbank termtop insertions : 32207163
% 206.98/30.43 % Search garbage collected termcells : 5554
% 206.98/30.43
% 206.98/30.43 % -------------------------------------------------
% 206.98/30.43 % User time : 28.541 s
% 206.98/30.43 % System time : 0.888 s
% 206.98/30.43 % Total time : 29.430 s
% 206.98/30.43 % Maximum resident set size: 5688 pages
% 206.98/30.43
% 206.98/30.43 % -------------------------------------------------
% 206.98/30.43 % User time : 114.498 s
% 206.98/30.43 % System time : 2.839 s
% 206.98/30.43 % Total time : 117.337 s
% 206.98/30.43 % Maximum resident set size: 5376 pages
% 206.98/30.43 % E exiting
%------------------------------------------------------------------------------