TSTP Solution File: NUM706+4 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM706+4 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 09:35:43 EDT 2022
% Result : Theorem 0.65s 56.84s
% Output : CNFRefutation 0.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 17
% Syntax : Number of formulae : 73 ( 33 unt; 0 def)
% Number of atoms : 146 ( 28 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 127 ( 54 ~; 58 |; 7 &)
% ( 4 <=>; 4 =>; 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 : 20 ( 20 usr; 11 con; 0-2 aty)
% Number of variables : 94 ( 13 sgn 46 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_ATP_Olambda__4,axiom,
! [X25] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_bx,X25))
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc214101377d_n_is,aa_TPTP_ind_TPTP_ind(scratc214822966d_n_ts(X25),scratc1030418234nd_n_1)),X25)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_ATP_Olambda__4) ).
fof(fact_def__n__ts,axiom,
! [X4] : scratc214822966d_n_ts(X4) = aa_TPT1424761345TP_ind(scratc1764370566bnd_ap,aa_TPTP_ind_TPTP_ind(scratc2087855887_times,X4)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_def__n__ts) ).
fof(fact_def__e__is,axiom,
! [X4] : scratc695441016d_e_is(X4) = fequal_TPTP_ind,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_def__e__is) ).
fof(fact_ATP_Olambda__17,axiom,
! [X25] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_aa,X25))
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc214101377d_n_is,X25),aa_TPTP_ind_TPTP_ind(scratc214822966d_n_ts(X25),scratc1030418234nd_n_1))) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_ATP_Olambda__17) ).
fof(fact_def__n__is,axiom,
scratc214101377d_n_is = scratc695441016d_e_is(scratc272482122nd_nat),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_def__n__is) ).
fof(help_fequal_2_1_fequal_001t__TPTP____Interpret__Oind_T,axiom,
! [X34,X35] :
( X34 != X35
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X34),X35)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',help_fequal_2_1_fequal_001t__TPTP____Interpret__Oind_T) ).
fof(help_fFalse_1_1_T,axiom,
! [X32] :
( gg_bool(X32)
=> ( X32 = fTrue
| X32 = fFalse ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',help_fFalse_1_1_T) ).
fof(gsy_c_aa_001t__TPTP____Interpret__Oind_001t__HOL__Obool,axiom,
! [X1,X2] : gg_bool(aa_TPTP_ind_bool(X1,X2)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',gsy_c_aa_001t__TPTP____Interpret__Oind_001t__HOL__Obool) ).
fof(help_fequal_1_1_fequal_001t__TPTP____Interpret__Oind_T,axiom,
! [X34,X35] :
( ( gg_TPTP_ind(X34)
& gg_TPTP_ind(X35) )
=> ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X34),X35))
| X34 = X35 ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',help_fequal_1_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/sandbox/solver/bin/../tmp/theBenchmark.p',gsy_c_aa_001t__TPTP____Interpret__Oind_001t__TPTP____Interpret__Oind) ).
fof(help_fFalse_1_1_U,axiom,
~ pp(fFalse),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',help_fFalse_1_1_U) ).
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/sandbox/solver/bin/../tmp/theBenchmark.p',gsy_c_aa_001t__fun_It__TPTP____Interpret__Oind_Mt__HOL__Obool_J_001t__HOL__Obool) ).
fof(fact_def__is__of,axiom,
! [X4,X5] :
( scratc1814191352_is_of(X4,X5)
<=> pp(aa_TPTP_ind_bool(X5,X4)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_def__is__of) ).
fof(help_pp_2_1_U,axiom,
pp(fTrue),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',help_pp_2_1_U) ).
fof(fact_def__all__of,axiom,
! [X4,X5] :
( pp(aa_fun171081125l_bool(scratc403153377all_of(X4),X5))
<=> ! [X12] :
( gg_TPTP_ind(X12)
=> ( scratc1814191352_is_of(X12,X4)
=> pp(aa_TPTP_ind_bool(X5,X12)) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_def__all__of) ).
fof(fact_satz28a,axiom,
pp(aa_fun171081125l_bool(scratc403153377all_of(aTP_Lamm_a),aTP_Lamm_bx)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_satz28a) ).
fof(conj_0,conjecture,
pp(aa_fun171081125l_bool(scratc403153377all_of(aTP_Lamm_a),aTP_Lamm_aa)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',conj_0) ).
fof(c_0_17,plain,
! [X26,X26] :
( ( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bx,X26))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc214101377d_n_is,aa_TPTP_ind_TPTP_ind(scratc214822966d_n_ts(X26),scratc1030418234nd_n_1)),X26)) )
& ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc214101377d_n_is,aa_TPTP_ind_TPTP_ind(scratc214822966d_n_ts(X26),scratc1030418234nd_n_1)),X26))
| pp(aa_TPTP_ind_bool(aTP_Lamm_bx,X26)) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_ATP_Olambda__4])])])]) ).
fof(c_0_18,plain,
! [X5] : scratc214822966d_n_ts(X5) = aa_TPT1424761345TP_ind(scratc1764370566bnd_ap,aa_TPTP_ind_TPTP_ind(scratc2087855887_times,X5)),
inference(variable_rename,[status(thm)],[fact_def__n__ts]) ).
fof(c_0_19,plain,
! [X5] : scratc695441016d_e_is(X5) = fequal_TPTP_ind,
inference(variable_rename,[status(thm)],[fact_def__e__is]) ).
fof(c_0_20,plain,
! [X26,X26] :
( ( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_aa,X26))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc214101377d_n_is,X26),aa_TPTP_ind_TPTP_ind(scratc214822966d_n_ts(X26),scratc1030418234nd_n_1))) )
& ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc214101377d_n_is,X26),aa_TPTP_ind_TPTP_ind(scratc214822966d_n_ts(X26),scratc1030418234nd_n_1)))
| pp(aa_TPTP_ind_bool(aTP_Lamm_aa,X26)) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_ATP_Olambda__17])])])]) ).
cnf(c_0_21,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc214101377d_n_is,aa_TPTP_ind_TPTP_ind(scratc214822966d_n_ts(X1),scratc1030418234nd_n_1)),X1))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bx,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_22,plain,
scratc214822966d_n_ts(X1) = aa_TPT1424761345TP_ind(scratc1764370566bnd_ap,aa_TPTP_ind_TPTP_ind(scratc2087855887_times,X1)),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_23,plain,
scratc214101377d_n_is = scratc695441016d_e_is(scratc272482122nd_nat),
inference(split_conjunct,[status(thm)],[fact_def__n__is]) ).
cnf(c_0_24,plain,
scratc695441016d_e_is(X1) = fequal_TPTP_ind,
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_25,plain,
! [X36,X37] :
( X36 != X37
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X36),X37)) ),
inference(variable_rename,[status(thm)],[help_fequal_2_1_fequal_001t__TPTP____Interpret__Oind_T]) ).
fof(c_0_26,plain,
! [X33] :
( ~ gg_bool(X33)
| X33 = fTrue
| X33 = fFalse ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[help_fFalse_1_1_T])]) ).
fof(c_0_27,plain,
! [X3,X4] : gg_bool(aa_TPTP_ind_bool(X3,X4)),
inference(variable_rename,[status(thm)],[gsy_c_aa_001t__TPTP____Interpret__Oind_001t__HOL__Obool]) ).
cnf(c_0_28,plain,
( pp(aa_TPTP_ind_bool(aTP_Lamm_aa,X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc214101377d_n_is,X1),aa_TPTP_ind_TPTP_ind(scratc214822966d_n_ts(X1),scratc1030418234nd_n_1))) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_29,plain,
! [X36,X37] :
( ~ gg_TPTP_ind(X36)
| ~ gg_TPTP_ind(X37)
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X36),X37))
| X36 = X37 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[help_fequal_1_1_fequal_001t__TPTP____Interpret__Oind_T])])]) ).
cnf(c_0_30,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc214101377d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1764370566bnd_ap,aa_TPTP_ind_TPTP_ind(scratc2087855887_times,X1)),scratc1030418234nd_n_1)),X1))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bx,X1)) ),
inference(rw,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_31,plain,
fequal_TPTP_ind = scratc214101377d_n_is,
inference(rw,[status(thm)],[c_0_23,c_0_24]) ).
fof(c_0_32,plain,
! [X3,X4] : gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(X3,X4)),
inference(variable_rename,[status(thm)],[gsy_c_aa_001t__TPTP____Interpret__Oind_001t__TPTP____Interpret__Oind]) ).
cnf(c_0_33,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X1),X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_34,plain,
( X1 = fFalse
| X1 = fTrue
| ~ gg_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_35,plain,
gg_bool(aa_TPTP_ind_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_36,plain,
~ pp(fFalse),
inference(fof_simplification,[status(thm)],[help_fFalse_1_1_U]) ).
fof(c_0_37,hypothesis,
! [X3,X4] : gg_bool(aa_fun171081125l_bool(X3,X4)),
inference(variable_rename,[status(thm)],[gsy_c_aa_001t__fun_It__TPTP____Interpret__Oind_Mt__HOL__Obool_J_001t__HOL__Obool]) ).
cnf(c_0_38,plain,
( pp(aa_TPTP_ind_bool(aTP_Lamm_aa,X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc214101377d_n_is,X1),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1764370566bnd_ap,aa_TPTP_ind_TPTP_ind(scratc2087855887_times,X1)),scratc1030418234nd_n_1))) ),
inference(rw,[status(thm)],[c_0_28,c_0_22]) ).
cnf(c_0_39,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)],[c_0_29]) ).
cnf(c_0_40,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1764370566bnd_ap,aa_TPTP_ind_TPTP_ind(scratc2087855887_times,X1)),scratc1030418234nd_n_1)),X1))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bx,X1)) ),
inference(rw,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_41,plain,
gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_42,plain,
pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X1),X1)),
inference(er,[status(thm)],[c_0_33]) ).
cnf(c_0_43,plain,
( aa_TPTP_ind_bool(X1,X2) = fFalse
| aa_TPTP_ind_bool(X1,X2) = fTrue ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_44,plain,
~ pp(fFalse),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_45,hypothesis,
gg_bool(aa_fun171081125l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
fof(c_0_46,plain,
! [X6,X7,X6,X7] :
( ( ~ scratc1814191352_is_of(X6,X7)
| pp(aa_TPTP_ind_bool(X7,X6)) )
& ( ~ pp(aa_TPTP_ind_bool(X7,X6))
| scratc1814191352_is_of(X6,X7) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_def__is__of])])])]) ).
cnf(c_0_47,plain,
( pp(aa_TPTP_ind_bool(aTP_Lamm_aa,X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X1),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1764370566bnd_ap,aa_TPTP_ind_TPTP_ind(scratc2087855887_times,X1)),scratc1030418234nd_n_1))) ),
inference(rw,[status(thm)],[c_0_38,c_0_31]) ).
cnf(c_0_48,plain,
( aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1764370566bnd_ap,aa_TPTP_ind_TPTP_ind(scratc2087855887_times,X1)),scratc1030418234nd_n_1) = X1
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bx,X1))
| ~ gg_TPTP_ind(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41])]) ).
cnf(c_0_49,plain,
aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X1),X1) = fTrue,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44]) ).
cnf(c_0_50,plain,
pp(fTrue),
inference(split_conjunct,[status(thm)],[help_pp_2_1_U]) ).
fof(c_0_51,plain,
! [X13,X14,X15,X13,X14] :
( ( ~ pp(aa_fun171081125l_bool(scratc403153377all_of(X13),X14))
| ~ gg_TPTP_ind(X15)
| ~ scratc1814191352_is_of(X15,X13)
| pp(aa_TPTP_ind_bool(X14,X15)) )
& ( gg_TPTP_ind(esk13_2(X13,X14))
| pp(aa_fun171081125l_bool(scratc403153377all_of(X13),X14)) )
& ( scratc1814191352_is_of(esk13_2(X13,X14),X13)
| pp(aa_fun171081125l_bool(scratc403153377all_of(X13),X14)) )
& ( ~ pp(aa_TPTP_ind_bool(X14,esk13_2(X13,X14)))
| pp(aa_fun171081125l_bool(scratc403153377all_of(X13),X14)) ) ),
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_def__all__of])])])])])])]) ).
cnf(c_0_52,plain,
pp(aa_fun171081125l_bool(scratc403153377all_of(aTP_Lamm_a),aTP_Lamm_bx)),
inference(split_conjunct,[status(thm)],[fact_satz28a]) ).
cnf(c_0_53,hypothesis,
( aa_fun171081125l_bool(X1,X2) = fFalse
| aa_fun171081125l_bool(X1,X2) = fTrue ),
inference(spm,[status(thm)],[c_0_34,c_0_45]) ).
cnf(c_0_54,plain,
( scratc1814191352_is_of(X1,X2)
| ~ pp(aa_TPTP_ind_bool(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_55,plain,
( pp(aa_TPTP_ind_bool(aTP_Lamm_aa,X1))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bx,X1))
| ~ gg_TPTP_ind(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]),c_0_50])]) ).
cnf(c_0_56,plain,
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc1814191352_is_of(X2,X3)
| ~ gg_TPTP_ind(X2)
| ~ pp(aa_fun171081125l_bool(scratc403153377all_of(X3),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_57,hypothesis,
aa_fun171081125l_bool(scratc403153377all_of(aTP_Lamm_a),aTP_Lamm_bx) = fTrue,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_44]) ).
cnf(c_0_58,plain,
( pp(aa_fun171081125l_bool(scratc403153377all_of(X1),X2))
| ~ pp(aa_TPTP_ind_bool(X2,esk13_2(X1,X2))) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_59,plain,
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc1814191352_is_of(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_60,plain,
( scratc1814191352_is_of(X1,aTP_Lamm_aa)
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bx,X1))
| ~ gg_TPTP_ind(X1) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_61,hypothesis,
( pp(aa_TPTP_ind_bool(aTP_Lamm_bx,X1))
| ~ scratc1814191352_is_of(X1,aTP_Lamm_a)
| ~ gg_TPTP_ind(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_50])]) ).
fof(c_0_62,negated_conjecture,
~ pp(aa_fun171081125l_bool(scratc403153377all_of(aTP_Lamm_a),aTP_Lamm_aa)),
inference(assume_negation,[status(cth)],[conj_0]) ).
cnf(c_0_63,plain,
( pp(aa_fun171081125l_bool(scratc403153377all_of(X1),X2))
| ~ scratc1814191352_is_of(esk13_2(X1,X2),X2) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_64,plain,
( scratc1814191352_is_of(X1,aTP_Lamm_aa)
| ~ scratc1814191352_is_of(X1,aTP_Lamm_bx)
| ~ gg_TPTP_ind(X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_59]) ).
cnf(c_0_65,plain,
( pp(aa_fun171081125l_bool(scratc403153377all_of(X1),X2))
| gg_TPTP_ind(esk13_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_66,hypothesis,
( scratc1814191352_is_of(X1,aTP_Lamm_bx)
| ~ scratc1814191352_is_of(X1,aTP_Lamm_a)
| ~ gg_TPTP_ind(X1) ),
inference(spm,[status(thm)],[c_0_54,c_0_61]) ).
cnf(c_0_67,plain,
( pp(aa_fun171081125l_bool(scratc403153377all_of(X1),X2))
| scratc1814191352_is_of(esk13_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
fof(c_0_68,negated_conjecture,
~ pp(aa_fun171081125l_bool(scratc403153377all_of(aTP_Lamm_a),aTP_Lamm_aa)),
inference(fof_simplification,[status(thm)],[c_0_62]) ).
cnf(c_0_69,plain,
( pp(aa_fun171081125l_bool(scratc403153377all_of(X1),aTP_Lamm_aa))
| ~ scratc1814191352_is_of(esk13_2(X1,aTP_Lamm_aa),aTP_Lamm_bx) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65]) ).
cnf(c_0_70,hypothesis,
( scratc1814191352_is_of(esk13_2(aTP_Lamm_a,X1),aTP_Lamm_bx)
| pp(aa_fun171081125l_bool(scratc403153377all_of(aTP_Lamm_a),X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_65]) ).
cnf(c_0_71,negated_conjecture,
~ pp(aa_fun171081125l_bool(scratc403153377all_of(aTP_Lamm_a),aTP_Lamm_aa)),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_72,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_71]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM706+4 : TPTP v8.1.0. Released v7.3.0.
% 0.03/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jul 6 05:26:28 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.43/23.46 eprover: CPU time limit exceeded, terminating
% 0.43/23.46 eprover: CPU time limit exceeded, terminating
% 0.43/23.48 eprover: CPU time limit exceeded, terminating
% 0.43/23.54 eprover: CPU time limit exceeded, terminating
% 0.59/46.48 eprover: CPU time limit exceeded, terminating
% 0.59/46.49 eprover: CPU time limit exceeded, terminating
% 0.59/46.53 eprover: CPU time limit exceeded, terminating
% 0.59/46.56 eprover: CPU time limit exceeded, terminating
% 0.65/56.84 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.65/56.84
% 0.65/56.84 # Failure: Resource limit exceeded (time)
% 0.65/56.84 # OLD status Res
% 0.65/56.84 # Preprocessing time : 0.097 s
% 0.65/56.84 # Running protocol protocol_eprover_f6eb5f7f05126ea361481ae651a4823314e3d740 for 23 seconds:
% 0.65/56.84 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,02,20000,1.0)
% 0.65/56.84 # Preprocessing time : 0.034 s
% 0.65/56.84
% 0.65/56.84 # Failure: Out of unprocessed clauses!
% 0.65/56.84 # OLD status GaveUp
% 0.65/56.84 # Parsed axioms : 632
% 0.65/56.84 # Removed by relevancy pruning/SinE : 622
% 0.65/56.84 # Initial clauses : 11
% 0.65/56.84 # Removed in clause preprocessing : 0
% 0.65/56.84 # Initial clauses in saturation : 11
% 0.65/56.84 # Processed clauses : 11
% 0.65/56.84 # ...of these trivial : 0
% 0.65/56.84 # ...subsumed : 0
% 0.65/56.84 # ...remaining for further processing : 11
% 0.65/56.84 # Other redundant clauses eliminated : 0
% 0.65/56.84 # Clauses deleted for lack of memory : 0
% 0.65/56.84 # Backward-subsumed : 0
% 0.65/56.84 # Backward-rewritten : 0
% 0.65/56.84 # Generated clauses : 1
% 0.65/56.84 # ...of the previous two non-trivial : 0
% 0.65/56.84 # Contextual simplify-reflections : 0
% 0.65/56.84 # Paramodulations : 1
% 0.65/56.84 # Factorizations : 0
% 0.65/56.84 # Equation resolutions : 0
% 0.65/56.84 # Current number of processed clauses : 11
% 0.65/56.84 # Positive orientable unit clauses : 8
% 0.65/56.84 # Positive unorientable unit clauses: 0
% 0.65/56.84 # Negative unit clauses : 1
% 0.65/56.84 # Non-unit-clauses : 2
% 0.65/56.84 # Current number of unprocessed clauses: 0
% 0.65/56.84 # ...number of literals in the above : 0
% 0.65/56.84 # Current number of archived formulas : 0
% 0.65/56.84 # Current number of archived clauses : 0
% 0.65/56.84 # Clause-clause subsumption calls (NU) : 0
% 0.65/56.84 # Rec. Clause-clause subsumption calls : 0
% 0.65/56.84 # Non-unit clause-clause subsumptions : 0
% 0.65/56.84 # Unit Clause-clause subsumption calls : 0
% 0.65/56.84 # Rewrite failures with RHS unbound : 0
% 0.65/56.84 # BW rewrite match attempts : 0
% 0.65/56.84 # BW rewrite match successes : 0
% 0.65/56.84 # Condensation attempts : 0
% 0.65/56.84 # Condensation successes : 0
% 0.65/56.84 # Termbank termtop insertions : 9177
% 0.65/56.84
% 0.65/56.84 # -------------------------------------------------
% 0.65/56.84 # User time : 0.026 s
% 0.65/56.84 # System time : 0.008 s
% 0.65/56.84 # Total time : 0.034 s
% 0.65/56.84 # Maximum resident set size: 4904 pages
% 0.65/56.84 # Running protocol protocol_eprover_a172c605141d0894bf6fdc293a5220c6c2a32117 for 23 seconds:
% 0.65/56.84
% 0.65/56.84 # Failure: Resource limit exceeded (time)
% 0.65/56.84 # OLD status Res
% 0.65/56.84 # Preprocessing time : 0.093 s
% 0.65/56.84 # Running protocol protocol_eprover_f8b0f932169414d689b89e2a8b18d4600533b975 for 23 seconds:
% 0.65/56.84 # Preprocessing time : 0.047 s
% 0.65/56.84
% 0.65/56.84 # Proof found!
% 0.65/56.84 # SZS status Theorem
% 0.65/56.84 # SZS output start CNFRefutation
% See solution above
% 0.65/56.84 # Proof object total steps : 73
% 0.65/56.84 # Proof object clause steps : 41
% 0.65/56.84 # Proof object formula steps : 32
% 0.65/56.84 # Proof object conjectures : 4
% 0.65/56.84 # Proof object clause conjectures : 1
% 0.65/56.84 # Proof object formula conjectures : 3
% 0.65/56.84 # Proof object initial clauses used : 21
% 0.65/56.84 # Proof object initial formulas used : 17
% 0.65/56.84 # Proof object generating inferences : 14
% 0.65/56.84 # Proof object simplifying inferences : 18
% 0.65/56.84 # Training examples: 0 positive, 0 negative
% 0.65/56.84 # Parsed axioms : 632
% 0.65/56.84 # Removed by relevancy pruning/SinE : 0
% 0.65/56.84 # Initial clauses : 1136
% 0.65/56.84 # Removed in clause preprocessing : 19
% 0.65/56.84 # Initial clauses in saturation : 1117
% 0.65/56.84 # Processed clauses : 34797
% 0.65/56.84 # ...of these trivial : 1812
% 0.65/56.84 # ...subsumed : 16334
% 0.65/56.84 # ...remaining for further processing : 16651
% 0.65/56.84 # Other redundant clauses eliminated : 7
% 0.65/56.84 # Clauses deleted for lack of memory : 56934
% 0.65/56.84 # Backward-subsumed : 717
% 0.65/56.84 # Backward-rewritten : 3391
% 0.65/56.84 # Generated clauses : 407079
% 0.65/56.84 # ...of the previous two non-trivial : 328955
% 0.65/56.84 # Contextual simplify-reflections : 3666
% 0.65/56.84 # Paramodulations : 407001
% 0.65/56.84 # Factorizations : 33
% 0.65/56.84 # Equation resolutions : 12
% 0.65/56.84 # Current number of processed clauses : 12529
% 0.65/56.84 # Positive orientable unit clauses : 2816
% 0.65/56.84 # Positive unorientable unit clauses: 12
% 0.65/56.84 # Negative unit clauses : 266
% 0.65/56.84 # Non-unit-clauses : 9435
% 0.65/56.84 # Current number of unprocessed clauses: 91481
% 0.65/56.84 # ...number of literals in the above : 262726
% 0.65/56.84 # Current number of archived formulas : 0
% 0.65/56.84 # Current number of archived clauses : 4125
% 0.65/56.84 # Clause-clause subsumption calls (NU) : 24182657
% 0.65/56.84 # Rec. Clause-clause subsumption calls : 11725439
% 0.65/56.84 # Non-unit clause-clause subsumptions : 12556
% 0.65/56.84 # Unit Clause-clause subsumption calls : 4011581
% 0.65/56.84 # Rewrite failures with RHS unbound : 7
% 0.65/56.84 # BW rewrite match attempts : 168827
% 0.65/56.84 # BW rewrite match successes : 2202
% 0.65/56.84 # Condensation attempts : 0
% 0.65/56.84 # Condensation successes : 0
% 0.65/56.84 # Termbank termtop insertions : 6135165
% 0.65/56.84
% 0.65/56.84 # -------------------------------------------------
% 0.65/56.84 # User time : 9.306 s
% 0.65/56.84 # System time : 0.115 s
% 0.65/56.84 # Total time : 9.421 s
% 0.65/56.84 # Maximum resident set size: 154064 pages
% 0.65/69.49 eprover: CPU time limit exceeded, terminating
% 0.65/69.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.65/69.51 eprover: No such file or directory
% 0.65/69.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.65/69.52 eprover: No such file or directory
% 0.65/69.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.65/69.53 eprover: No such file or directory
% 0.65/69.53 eprover: CPU time limit exceeded, terminating
% 0.65/69.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.65/69.53 eprover: No such file or directory
% 0.65/69.54 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.65/69.54 eprover: No such file or directory
% 0.65/69.54 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.65/69.54 eprover: No such file or directory
% 0.65/69.54 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.65/69.54 eprover: No such file or directory
% 0.65/69.55 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.65/69.55 eprover: No such file or directory
% 0.65/69.55 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.65/69.55 eprover: No such file or directory
% 0.65/69.55 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.65/69.55 eprover: No such file or directory
% 0.65/69.55 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.65/69.55 eprover: No such file or directory
% 0.65/69.56 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.65/69.56 eprover: No such file or directory
% 0.65/69.56 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.65/69.56 eprover: No such file or directory
% 0.65/69.56 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.65/69.56 eprover: No such file or directory
% 0.65/69.57 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.65/69.57 eprover: No such file or directory
% 0.65/69.57 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.65/69.57 eprover: No such file or directory
% 0.65/69.57 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.65/69.57 eprover: No such file or directory
% 0.65/69.58 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.65/69.58 eprover: No such file or directory
% 0.65/69.58 eprover: CPU time limit exceeded, terminating
% 0.65/69.59 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.65/69.59 eprover: No such file or directory
% 0.65/69.60 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.65/69.60 eprover: No such file or directory
% 0.65/69.60 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.65/69.60 eprover: No such file or directory
% 0.65/69.61 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.65/69.61 eprover: No such file or directory
% 0.65/69.61 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.65/69.61 eprover: No such file or directory
% 0.65/69.62 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.65/69.62 eprover: No such file or directory
% 0.65/69.62 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.65/69.62 eprover: No such file or directory
%------------------------------------------------------------------------------