TSTP Solution File: NUM924+3 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM924+3 : TPTP v7.0.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n079.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 32218.625MB
% OS : Linux 3.10.0-693.2.2.el7.x86_64
% CPULimit : 300s
% DateTime : Mon Jan 8 15:22:40 EST 2018
% Result : Theorem 1.67s
% Output : CNFRefutation 1.67s
% Verified :
% SZS Type : None (Could not find formula named the3)
% Syntax : Number of formulae : 61
% Comments :
%------------------------------------------------------------------------------
fof(37,axiom,
! [X68,X69,X70] : equal(hAPP_int_int(plus_plus_int(X68),hAPP_int_int(plus_plus_int(X69),X70)),hAPP_int_int(plus_plus_int(X69),hAPP_int_int(plus_plus_int(X68),X70))),
file('/export/starexec/sandbox2/tmp/tmpqo4uLN/sel_theBenchmark.p_1',fact_336_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J) ).
fof(90,axiom,
! [X130,X131] : equal(hAPP_int_int(plus_plus_int(X130),X131),hAPP_int_int(plus_plus_int(X131),X130)),
file('/export/starexec/sandbox2/tmp/tmpqo4uLN/sel_theBenchmark.p_1',fact_333_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J) ).
fof(165,axiom,
equal(twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t)),
file('/export/starexec/sandbox2/tmp/tmpqo4uLN/sel_theBenchmark.p_1',fact_1068__096sum2sq_A_Is_M_A1_J_A_061_A_I4_A_K_Am_A_L_A1_J_A_K_At_096) ).
fof(323,axiom,
! [X271] : equal(hAPP_int_int(times_times_int(X271),zero_zero_int),zero_zero_int),
file('/export/starexec/sandbox2/tmp/tmpqo4uLN/sel_theBenchmark.p_1',fact_367_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J) ).
fof(352,axiom,
! [X290,X291,X292] : equal(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(X290),X291)),X292),hAPP_int_int(plus_plus_int(X290),hAPP_int_int(plus_plus_int(X291),X292))),
file('/export/starexec/sandbox2/tmp/tmpqo4uLN/sel_theBenchmark.p_1',fact_342_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J) ).
fof(405,axiom,
equal(pls,zero_zero_int),
file('/export/starexec/sandbox2/tmp/tmpqo4uLN/sel_theBenchmark.p_1',fact_172_Pls__def) ).
fof(410,axiom,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),zero_zero_int))),
file('/export/starexec/sandbox2/tmp/tmpqo4uLN/sel_theBenchmark.p_1',fact_2__096_I4_A_K_Am_A_L_A1_J_A_K_At_A_060_A_I4_A_K_Am_A_L_A1_J_A_K_A0_096) ).
fof(591,axiom,
! [X92] : equal(bit1(X92),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X92)),X92)),
file('/export/starexec/sandbox2/tmp/tmpqo4uLN/sel_theBenchmark.p_1',fact_236_Bit1__def) ).
fof(618,axiom,
! [X232,X94] : equal(hAPP_int_int(times_times_int(X232),X94),hAPP_int_int(times_times_int(X94),X232)),
file('/export/starexec/sandbox2/tmp/tmpqo4uLN/sel_theBenchmark.p_1',fact_35_zmult__commute) ).
fof(663,axiom,
equal(hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat),number_number_of_nat(bit0(bit1(pls)))),
file('/export/starexec/sandbox2/tmp/tmpqo4uLN/sel_theBenchmark.p_1',fact_87_nat__1__add__1) ).
fof(758,conjecture,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)),zero_zero_int)),
file('/export/starexec/sandbox2/tmp/tmpqo4uLN/sel_theBenchmark.p_1',conj_0) ).
fof(923,axiom,
! [X326] : equal(hAPP_int_int(times_times_int(X326),X326),hAPP_nat_int(power_power_int(X326),number_number_of_nat(bit0(bit1(pls))))),
file('/export/starexec/sandbox2/tmp/tmpqo4uLN/sel_theBenchmark.p_1',fact_285_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J) ).
fof(974,axiom,
! [X92] : equal(bit0(X92),hAPP_int_int(plus_plus_int(X92),X92)),
file('/export/starexec/sandbox2/tmp/tmpqo4uLN/sel_theBenchmark.p_1',fact_182_Bit0__def) ).
fof(1049,axiom,
equal(hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t)),
file('/export/starexec/sandbox2/tmp/tmpqo4uLN/sel_theBenchmark.p_1',fact_3_t) ).
fof(1231,negated_conjecture,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)),zero_zero_int)),
inference(assume_negation,[status(cth)],[758]) ).
fof(1291,negated_conjecture,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)),zero_zero_int)),
inference(fof_simplification,[status(thm)],[1231,theory(equality)]) ).
fof(1453,plain,
! [X71,X72,X73] : equal(hAPP_int_int(plus_plus_int(X71),hAPP_int_int(plus_plus_int(X72),X73)),hAPP_int_int(plus_plus_int(X72),hAPP_int_int(plus_plus_int(X71),X73))),
inference(variable_rename,[status(thm)],[37]) ).
cnf(1454,plain,
hAPP_int_int(plus_plus_int(X1),hAPP_int_int(plus_plus_int(X2),X3)) = hAPP_int_int(plus_plus_int(X2),hAPP_int_int(plus_plus_int(X1),X3)),
inference(split_conjunct,[status(thm)],[1453]) ).
fof(1620,plain,
! [X132,X133] : equal(hAPP_int_int(plus_plus_int(X132),X133),hAPP_int_int(plus_plus_int(X133),X132)),
inference(variable_rename,[status(thm)],[90]) ).
cnf(1621,plain,
hAPP_int_int(plus_plus_int(X1),X2) = hAPP_int_int(plus_plus_int(X2),X1),
inference(split_conjunct,[status(thm)],[1620]) ).
cnf(1864,plain,
twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int)) = hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t),
inference(split_conjunct,[status(thm)],[165]) ).
fof(2361,plain,
! [X272] : equal(hAPP_int_int(times_times_int(X272),zero_zero_int),zero_zero_int),
inference(variable_rename,[status(thm)],[323]) ).
cnf(2362,plain,
hAPP_int_int(times_times_int(X1),zero_zero_int) = zero_zero_int,
inference(split_conjunct,[status(thm)],[2361]) ).
fof(2468,plain,
! [X293,X294,X295] : equal(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(X293),X294)),X295),hAPP_int_int(plus_plus_int(X293),hAPP_int_int(plus_plus_int(X294),X295))),
inference(variable_rename,[status(thm)],[352]) ).
cnf(2469,plain,
hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(X1),X2)),X3) = hAPP_int_int(plus_plus_int(X1),hAPP_int_int(plus_plus_int(X2),X3)),
inference(split_conjunct,[status(thm)],[2468]) ).
cnf(2639,plain,
pls = zero_zero_int,
inference(split_conjunct,[status(thm)],[405]) ).
cnf(2651,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),zero_zero_int))),
inference(split_conjunct,[status(thm)],[410]) ).
fof(3202,plain,
! [X93] : equal(bit1(X93),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X93)),X93)),
inference(variable_rename,[status(thm)],[591]) ).
cnf(3203,plain,
bit1(X1) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X1)),X1),
inference(split_conjunct,[status(thm)],[3202]) ).
fof(3269,plain,
! [X233,X234] : equal(hAPP_int_int(times_times_int(X233),X234),hAPP_int_int(times_times_int(X234),X233)),
inference(variable_rename,[status(thm)],[618]) ).
cnf(3270,plain,
hAPP_int_int(times_times_int(X1),X2) = hAPP_int_int(times_times_int(X2),X1),
inference(split_conjunct,[status(thm)],[3269]) ).
cnf(3411,plain,
hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat) = number_number_of_nat(bit0(bit1(pls))),
inference(split_conjunct,[status(thm)],[663]) ).
cnf(3681,negated_conjecture,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)),zero_zero_int)),
inference(split_conjunct,[status(thm)],[1291]) ).
fof(4185,plain,
! [X327] : equal(hAPP_int_int(times_times_int(X327),X327),hAPP_nat_int(power_power_int(X327),number_number_of_nat(bit0(bit1(pls))))),
inference(variable_rename,[status(thm)],[923]) ).
cnf(4186,plain,
hAPP_int_int(times_times_int(X1),X1) = hAPP_nat_int(power_power_int(X1),number_number_of_nat(bit0(bit1(pls)))),
inference(split_conjunct,[status(thm)],[4185]) ).
fof(4355,plain,
! [X93] : equal(bit0(X93),hAPP_int_int(plus_plus_int(X93),X93)),
inference(variable_rename,[status(thm)],[974]) ).
cnf(4356,plain,
bit0(X1) = hAPP_int_int(plus_plus_int(X1),X1),
inference(split_conjunct,[status(thm)],[4355]) ).
cnf(4594,plain,
hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int) = hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t),
inference(split_conjunct,[status(thm)],[1049]) ).
cnf(5289,plain,
hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat) = number_number_of_nat(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))),
inference(rw,[status(thm)],[3411,4356,theory(equality)]),
[unfolding] ).
cnf(5314,plain,
hAPP_nat_int(power_power_int(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls)))) = hAPP_int_int(times_times_int(X1),X1),
inference(rw,[status(thm)],[4186,4356,theory(equality)]),
[unfolding] ).
cnf(5363,plain,
hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))),hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))),m)),one_one_int)),t) = twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1864,4356,theory(equality)]),4356,theory(equality)]),
[unfolding] ).
cnf(5371,plain,
hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))),hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))),m)),one_one_int)),t) = hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))),one_one_int),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4594,4356,theory(equality)]),4356,theory(equality)]),4356,theory(equality)]),
[unfolding] ).
cnf(5380,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))),hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))),m)),one_one_int)),t)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))),hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))),m)),one_one_int)),zero_zero_int))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2651,4356,theory(equality)]),4356,theory(equality)]),4356,theory(equality)]),4356,theory(equality)]),
[unfolding] ).
cnf(5515,negated_conjecture,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))),one_one_int)),zero_zero_int)),
inference(rw,[status(thm)],[3681,4356,theory(equality)]),
[unfolding] ).
cnf(5551,plain,
hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat) = number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[5289,3203,theory(equality)]),3203,theory(equality)]),
[unfolding] ).
cnf(5573,plain,
hAPP_nat_int(power_power_int(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))) = hAPP_int_int(times_times_int(X1),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[5314,3203,theory(equality)]),3203,theory(equality)]),
[unfolding] ).
cnf(5628,plain,
hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),m)),one_one_int)),t) = twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5363,3203,theory(equality)]),3203,theory(equality)]),3203,theory(equality)]),3203,theory(equality)]),
[unfolding] ).
cnf(5636,plain,
hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),m)),one_one_int)),t) = hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),one_one_int),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5371,3203,theory(equality)]),3203,theory(equality)]),3203,theory(equality)]),3203,theory(equality)]),3203,theory(equality)]),3203,theory(equality)]),
[unfolding] ).
cnf(5645,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),m)),one_one_int)),t)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),m)),one_one_int)),zero_zero_int))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5380,3203,theory(equality)]),3203,theory(equality)]),3203,theory(equality)]),3203,theory(equality)]),3203,theory(equality)]),3203,theory(equality)]),3203,theory(equality)]),3203,theory(equality)]),
[unfolding] ).
cnf(5798,negated_conjecture,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),one_one_int)),zero_zero_int)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[5515,3203,theory(equality)]),3203,theory(equality)]),
[unfolding] ).
cnf(5847,plain,
hAPP_int_int(times_times_int(X1),pls) = zero_zero_int,
inference(rw,[status(thm)],[2362,2639,theory(equality)]) ).
cnf(5848,plain,
hAPP_int_int(times_times_int(X1),pls) = pls,
inference(rw,[status(thm)],[5847,2639,theory(equality)]) ).
cnf(14848,plain,
number_number_of_nat(hAPP_int_int(plus_plus_int(pls),hAPP_int_int(plus_plus_int(pls),hAPP_int_int(plus_plus_int(pls),hAPP_int_int(plus_plus_int(pls),hAPP_int_int(plus_plus_int(one_one_int),one_one_int)))))) = hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5551,1621,theory(equality)]),1621,theory(equality)]),1621,theory(equality)]),1621,theory(equality)]),2469,theory(equality)]),2469,theory(equality)]),1454,theory(equality)]),1454,theory(equality)]) ).
cnf(15611,plain,
hAPP_nat_int(power_power_int(X1),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat)) = hAPP_int_int(times_times_int(X1),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5573,1621,theory(equality)]),1621,theory(equality)]),1621,theory(equality)]),1621,theory(equality)]),2469,theory(equality)]),2469,theory(equality)]),1454,theory(equality)]),1454,theory(equality)]),14848,theory(equality)]) ).
cnf(31697,negated_conjecture,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(s),s))),pls)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5798,1621,theory(equality)]),1621,theory(equality)]),1621,theory(equality)]),1621,theory(equality)]),2469,theory(equality)]),2469,theory(equality)]),1454,theory(equality)]),1454,theory(equality)]),14848,theory(equality)]),15611,theory(equality)]),1621,theory(equality)]),2639,theory(equality)]) ).
cnf(46456,plain,
hAPP_int_int(times_times_int(t),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(m),number_number_of_int(hAPP_int_int(plus_plus_int(pls),hAPP_int_int(plus_plus_int(pls),hAPP_int_int(plus_plus_int(pls),hAPP_int_int(plus_plus_int(pls),hAPP_int_int(plus_plus_int(pls),hAPP_int_int(plus_plus_int(pls),hAPP_int_int(plus_plus_int(pls),hAPP_int_int(plus_plus_int(pls),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),one_one_int))))))))))))))) = twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5628,1621,theory(equality)]),1621,theory(equality)]),1621,theory(equality)]),1621,theory(equality)]),2469,theory(equality)]),2469,theory(equality)]),1454,theory(equality)]),1454,theory(equality)]),1621,theory(equality)]),1621,theory(equality)]),1621,theory(equality)]),1621,theory(equality)]),2469,theory(equality)]),2469,theory(equality)]),1454,theory(equality)]),1454,theory(equality)]),2469,theory(equality)]),2469,theory(equality)]),2469,theory(equality)]),2469,theory(equality)]),2469,theory(equality)]),1454,theory(equality)]),1454,theory(equality)]),1454,theory(equality)]),1454,theory(equality)]),1454,theory(equality)]),1454,theory(equality)]),1454,theory(equality)]),1454,theory(equality)]),3270,theory(equality)]),1621,theory(equality)]),3270,theory(equality)]) ).
cnf(49440,plain,
twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int)) = hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),one_one_int),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5636,1621,theory(equality)]),1621,theory(equality)]),1621,theory(equality)]),1621,theory(equality)]),2469,theory(equality)]),2469,theory(equality)]),1454,theory(equality)]),1454,theory(equality)]),1621,theory(equality)]),1621,theory(equality)]),1621,theory(equality)]),1621,theory(equality)]),2469,theory(equality)]),2469,theory(equality)]),1454,theory(equality)]),1454,theory(equality)]),2469,theory(equality)]),2469,theory(equality)]),2469,theory(equality)]),2469,theory(equality)]),2469,theory(equality)]),1454,theory(equality)]),1454,theory(equality)]),1454,theory(equality)]),1454,theory(equality)]),1454,theory(equality)]),1454,theory(equality)]),1454,theory(equality)]),1454,theory(equality)]),3270,theory(equality)]),1621,theory(equality)]),3270,theory(equality)]),46456,theory(equality)]) ).
cnf(49441,plain,
twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int)) = hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(s),s)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[49440,1621,theory(equality)]),1621,theory(equality)]),1621,theory(equality)]),1621,theory(equality)]),2469,theory(equality)]),2469,theory(equality)]),1454,theory(equality)]),1454,theory(equality)]),14848,theory(equality)]),15611,theory(equality)]),1621,theory(equality)]) ).
cnf(54588,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(s),s))),pls)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5645,1621,theory(equality)]),1621,theory(equality)]),1621,theory(equality)]),1621,theory(equality)]),2469,theory(equality)]),2469,theory(equality)]),1454,theory(equality)]),1454,theory(equality)]),1621,theory(equality)]),1621,theory(equality)]),1621,theory(equality)]),1621,theory(equality)]),2469,theory(equality)]),2469,theory(equality)]),1454,theory(equality)]),1454,theory(equality)]),2469,theory(equality)]),2469,theory(equality)]),2469,theory(equality)]),2469,theory(equality)]),2469,theory(equality)]),1454,theory(equality)]),1454,theory(equality)]),1454,theory(equality)]),1454,theory(equality)]),1454,theory(equality)]),1454,theory(equality)]),1454,theory(equality)]),1454,theory(equality)]),3270,theory(equality)]),1621,theory(equality)]),3270,theory(equality)]),46456,theory(equality)]),49441,theory(equality)]),1621,theory(equality)]),1621,theory(equality)]),1621,theory(equality)]),1621,theory(equality)]),2469,theory(equality)]),2469,theory(equality)]),1454,theory(equality)]),1454,theory(equality)]),1621,theory(equality)]),1621,theory(equality)]),1621,theory(equality)]),1621,theory(equality)]),2469,theory(equality)]),2469,theory(equality)]),1454,theory(equality)]),1454,theory(equality)]),2469,theory(equality)]),2469,theory(equality)]),2469,theory(equality)]),2469,theory(equality)]),2469,theory(equality)]),1454,theory(equality)]),1454,theory(equality)]),1454,theory(equality)]),1454,theory(equality)]),1454,theory(equality)]),1454,theory(equality)]),1454,theory(equality)]),1454,theory(equality)]),3270,theory(equality)]),1621,theory(equality)]),2639,theory(equality)]),5848,theory(equality)]) ).
cnf(54589,plain,
$false,
inference(sr,[status(thm)],[54588,31697,theory(equality)]) ).
cnf(54590,plain,
$false,
54589,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM924+3 : TPTP v7.0.0. Released v5.3.0.
% 0.00/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.03/0.23 % Computer : n079.star.cs.uiowa.edu
% 0.03/0.23 % Model : x86_64 x86_64
% 0.03/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.23 % Memory : 32218.625MB
% 0.03/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.03/0.23 % CPULimit : 300
% 0.03/0.23 % DateTime : Fri Jan 5 16:35:34 CST 2018
% 0.03/0.23 % CPUTime :
% 0.03/0.27 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.28 --creating new selector for []
% 1.67/2.35 -running prover on /export/starexec/sandbox2/tmp/tmpqo4uLN/sel_theBenchmark.p_1 with time limit 29
% 1.67/2.35 -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/tmpqo4uLN/sel_theBenchmark.p_1']
% 1.67/2.35 -prover status Theorem
% 1.67/2.35 Problem theBenchmark.p solved in phase 0.
% 1.67/2.35 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.67/2.35 % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.67/2.35 Solved 1 out of 1.
% 1.67/2.35 # Problem is unsatisfiable (or provable), constructing proof object
% 1.67/2.35 # SZS status Theorem
% 1.67/2.35 # SZS output start CNFRefutation.
% See solution above
% 1.67/2.36 # SZS output end CNFRefutation
%------------------------------------------------------------------------------