TSTP Solution File: NUM924+2 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM924+2 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n019.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 09:37:41 EDT 2022
% Result : Theorem 0.28s 1.47s
% Output : CNFRefutation 0.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 16
% Syntax : Number of formulae : 56 ( 53 unt; 0 def)
% Number of atoms : 59 ( 42 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 8 ~; 2 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 16 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-2 aty)
% Number of variables : 56 ( 1 sgn 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_0,conjecture,
ord_less_int(plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int),zero_zero_int),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_0) ).
fof(fact_438_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J,axiom,
! [X194] : times_times_int(X194,X194) = power_power_int(X194,number_number_of_nat(bit0(bit1(pls)))),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_438_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J) ).
fof(fact_180_Bit0__def,axiom,
! [X13] : bit0(X13) = plus_plus_int(X13,X13),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_180_Bit0__def) ).
fof(fact_234_Bit1__def,axiom,
! [X13] : bit1(X13) = plus_plus_int(plus_plus_int(one_one_int,X13),X13),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_234_Bit1__def) ).
fof(fact_132_zadd__commute,axiom,
! [X14,X12] : plus_plus_int(X14,X12) = plus_plus_int(X12,X14),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_132_zadd__commute) ).
fof(fact_334_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,axiom,
! [X137,X138,X139] : plus_plus_int(X137,plus_plus_int(X138,X139)) = plus_plus_int(plus_plus_int(X137,X138),X139),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_334_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J) ).
fof(fact_131_zadd__left__commute,axiom,
! [X3,X4,X14] : plus_plus_int(X3,plus_plus_int(X4,X14)) = plus_plus_int(X4,plus_plus_int(X3,X14)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_131_zadd__left__commute) ).
fof(fact_87_nat__1__add__1,axiom,
plus_plus_nat(one_one_nat,one_one_nat) = number_number_of_nat(bit0(bit1(pls))),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_87_nat__1__add__1) ).
fof(fact_3_t,axiom,
plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int) = times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_3_t) ).
fof(fact_35_zmult__commute,axiom,
! [X14,X12] : times_times_int(X14,X12) = times_times_int(X12,X14),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_35_zmult__commute) ).
fof(fact_170_Pls__def,axiom,
pls = zero_zero_int,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_170_Pls__def) ).
fof(fact_44_zpower__zadd__distrib,axiom,
! [X3,X4,X14] : power_power_int(X3,plus_plus_nat(X4,X14)) = times_times_int(power_power_int(X3,X4),power_power_int(X3,X14)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_44_zpower__zadd__distrib) ).
fof(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,axiom,
ord_less_int(times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t),times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),zero_zero_int)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',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(fact_362_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom,
! [X156] : times_times_int(X156,zero_zero_int) = zero_zero_int,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_362_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J) ).
fof(fact_346_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,axiom,
! [X150] :
( is_int(X150)
=> power_power_int(X150,one_one_nat) = X150 ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_346_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J) ).
fof(gsy_v_s____,hypothesis,
is_int(s),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',gsy_v_s____) ).
fof(c_0_16,negated_conjecture,
~ ord_less_int(plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int),zero_zero_int),
inference(assume_negation,[status(cth)],[conj_0]) ).
fof(c_0_17,plain,
! [X195] : times_times_int(X195,X195) = power_power_int(X195,number_number_of_nat(bit0(bit1(pls)))),
inference(variable_rename,[status(thm)],[fact_438_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J]) ).
fof(c_0_18,plain,
! [X14] : bit0(X14) = plus_plus_int(X14,X14),
inference(variable_rename,[status(thm)],[fact_180_Bit0__def]) ).
fof(c_0_19,plain,
! [X14] : bit1(X14) = plus_plus_int(plus_plus_int(one_one_int,X14),X14),
inference(variable_rename,[status(thm)],[fact_234_Bit1__def]) ).
fof(c_0_20,negated_conjecture,
~ ord_less_int(plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int),zero_zero_int),
inference(fof_simplification,[status(thm)],[c_0_16]) ).
cnf(c_0_21,plain,
times_times_int(X1,X1) = power_power_int(X1,number_number_of_nat(bit0(bit1(pls)))),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_22,plain,
bit0(X1) = plus_plus_int(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_23,plain,
bit1(X1) = plus_plus_int(plus_plus_int(one_one_int,X1),X1),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_24,plain,
! [X15,X16] : plus_plus_int(X15,X16) = plus_plus_int(X16,X15),
inference(variable_rename,[status(thm)],[fact_132_zadd__commute]) ).
fof(c_0_25,plain,
! [X140,X141,X142] : plus_plus_int(X140,plus_plus_int(X141,X142)) = plus_plus_int(plus_plus_int(X140,X141),X142),
inference(variable_rename,[status(thm)],[fact_334_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J]) ).
fof(c_0_26,plain,
! [X15,X16,X17] : plus_plus_int(X15,plus_plus_int(X16,X17)) = plus_plus_int(X16,plus_plus_int(X15,X17)),
inference(variable_rename,[status(thm)],[fact_131_zadd__left__commute]) ).
cnf(c_0_27,negated_conjecture,
~ ord_less_int(plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int),zero_zero_int),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_28,plain,
plus_plus_nat(one_one_nat,one_one_nat) = number_number_of_nat(bit0(bit1(pls))),
inference(split_conjunct,[status(thm)],[fact_87_nat__1__add__1]) ).
cnf(c_0_29,plain,
plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int) = times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t),
inference(split_conjunct,[status(thm)],[fact_3_t]) ).
fof(c_0_30,plain,
! [X15,X16] : times_times_int(X15,X16) = times_times_int(X16,X15),
inference(variable_rename,[status(thm)],[fact_35_zmult__commute]) ).
cnf(c_0_31,plain,
times_times_int(X1,X1) = power_power_int(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_22]),c_0_23]),c_0_23]) ).
cnf(c_0_32,plain,
pls = zero_zero_int,
inference(split_conjunct,[status(thm)],[fact_170_Pls__def]) ).
cnf(c_0_33,plain,
plus_plus_int(X1,X2) = plus_plus_int(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_34,plain,
plus_plus_int(X1,plus_plus_int(X2,X3)) = plus_plus_int(plus_plus_int(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_35,plain,
plus_plus_int(X1,plus_plus_int(X2,X3)) = plus_plus_int(X2,plus_plus_int(X1,X3)),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_36,negated_conjecture,
~ ord_less_int(plus_plus_int(power_power_int(s,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),one_one_int),zero_zero_int),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_22]),c_0_23]),c_0_23]) ).
cnf(c_0_37,plain,
plus_plus_nat(one_one_nat,one_one_nat) = number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_22]),c_0_23]),c_0_23]) ).
fof(c_0_38,plain,
! [X15,X16,X17] : power_power_int(X15,plus_plus_nat(X16,X17)) = times_times_int(power_power_int(X15,X16),power_power_int(X15,X17)),
inference(variable_rename,[status(thm)],[fact_44_zpower__zadd__distrib]) ).
cnf(c_0_39,plain,
ord_less_int(times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t),times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),zero_zero_int)),
inference(split_conjunct,[status(thm)],[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]) ).
cnf(c_0_40,plain,
plus_plus_int(power_power_int(s,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),one_one_int) = times_times_int(plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),one_one_int),t),
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)],[c_0_29,c_0_22]),c_0_22]),c_0_22]),c_0_23]),c_0_23]),c_0_23]),c_0_23]),c_0_23]),c_0_23]) ).
cnf(c_0_41,plain,
times_times_int(X1,X2) = times_times_int(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_42,plain,
power_power_int(X1,number_number_of_nat(plus_plus_int(zero_zero_int,plus_plus_int(zero_zero_int,plus_plus_int(zero_zero_int,plus_plus_int(zero_zero_int,plus_plus_int(one_one_int,one_one_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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_32]),c_0_33]),c_0_32]),c_0_33]),c_0_32]),c_0_33]),c_0_32]),c_0_33]),c_0_34]),c_0_34]),c_0_35]),c_0_35]) ).
fof(c_0_43,plain,
! [X157] : times_times_int(X157,zero_zero_int) = zero_zero_int,
inference(variable_rename,[status(thm)],[fact_362_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J]) ).
cnf(c_0_44,negated_conjecture,
~ ord_less_int(plus_plus_int(power_power_int(s,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,zero_zero_int),zero_zero_int),plus_plus_int(plus_plus_int(one_one_int,zero_zero_int),zero_zero_int)))),one_one_int),zero_zero_int),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_32]),c_0_32]),c_0_32]),c_0_32]) ).
cnf(c_0_45,plain,
number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,zero_zero_int),zero_zero_int),plus_plus_int(plus_plus_int(one_one_int,zero_zero_int),zero_zero_int))) = 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)],[c_0_37,c_0_32]),c_0_32]),c_0_32]),c_0_32]) ).
cnf(c_0_46,plain,
power_power_int(X1,plus_plus_nat(X2,X3)) = times_times_int(power_power_int(X1,X2),power_power_int(X1,X3)),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
fof(c_0_47,plain,
! [X151] :
( ~ is_int(X151)
| power_power_int(X151,one_one_nat) = X151 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_346_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J])]) ).
cnf(c_0_48,plain,
ord_less_int(times_times_int(plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),one_one_int),t),times_times_int(plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_22]),c_0_22]),c_0_22]),c_0_22]),c_0_23]),c_0_23]),c_0_23]),c_0_23]),c_0_23]),c_0_23]),c_0_23]),c_0_23]) ).
cnf(c_0_49,plain,
times_times_int(t,plus_plus_int(one_one_int,times_times_int(m,number_number_of_int(plus_plus_int(zero_zero_int,plus_plus_int(zero_zero_int,plus_plus_int(zero_zero_int,plus_plus_int(zero_zero_int,plus_plus_int(zero_zero_int,plus_plus_int(zero_zero_int,plus_plus_int(zero_zero_int,plus_plus_int(zero_zero_int,plus_plus_int(one_one_int,plus_plus_int(one_one_int,plus_plus_int(one_one_int,one_one_int))))))))))))))) = plus_plus_int(one_one_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)],[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)],[c_0_40,c_0_32]),c_0_33]),c_0_32]),c_0_33]),c_0_32]),c_0_33]),c_0_32]),c_0_33]),c_0_34]),c_0_34]),c_0_35]),c_0_35]),c_0_32]),c_0_33]),c_0_32]),c_0_33]),c_0_32]),c_0_33]),c_0_32]),c_0_33]),c_0_34]),c_0_34]),c_0_35]),c_0_35]),c_0_34]),c_0_34]),c_0_34]),c_0_34]),c_0_34]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_41]),c_0_33]),c_0_41]),c_0_32]),c_0_33]),c_0_32]),c_0_33]),c_0_32]),c_0_33]),c_0_32]),c_0_33]),c_0_34]),c_0_34]),c_0_35]),c_0_35]),c_0_42]),c_0_33]) ).
cnf(c_0_50,plain,
times_times_int(X1,zero_zero_int) = zero_zero_int,
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_51,negated_conjecture,
~ ord_less_int(plus_plus_int(one_one_int,times_times_int(power_power_int(s,one_one_nat),power_power_int(s,one_one_nat))),zero_zero_int),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_45]),c_0_46]),c_0_33]) ).
cnf(c_0_52,plain,
( power_power_int(X1,one_one_nat) = X1
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_53,plain,
ord_less_int(plus_plus_int(one_one_int,times_times_int(s,s)),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)],[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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_32]),c_0_33]),c_0_32]),c_0_33]),c_0_32]),c_0_33]),c_0_32]),c_0_33]),c_0_34]),c_0_34]),c_0_35]),c_0_35]),c_0_32]),c_0_33]),c_0_32]),c_0_33]),c_0_32]),c_0_33]),c_0_32]),c_0_33]),c_0_34]),c_0_34]),c_0_35]),c_0_35]),c_0_34]),c_0_34]),c_0_34]),c_0_34]),c_0_34]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_41]),c_0_33]),c_0_41]),c_0_49]),c_0_32]),c_0_33]),c_0_32]),c_0_33]),c_0_32]),c_0_33]),c_0_32]),c_0_33]),c_0_34]),c_0_34]),c_0_35]),c_0_35]),c_0_32]),c_0_33]),c_0_32]),c_0_33]),c_0_32]),c_0_33]),c_0_32]),c_0_33]),c_0_34]),c_0_34]),c_0_35]),c_0_35]),c_0_34]),c_0_34]),c_0_34]),c_0_34]),c_0_34]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_41]),c_0_33]),c_0_50]) ).
cnf(c_0_54,hypothesis,
is_int(s),
inference(split_conjunct,[status(thm)],[gsy_v_s____]) ).
cnf(c_0_55,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53]),c_0_54])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : NUM924+2 : TPTP v8.1.0. Released v5.3.0.
% 0.04/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n019.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 : Thu Jul 7 21:25:53 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.28/1.47 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.28/1.47 # Preprocessing time : 0.065 s
% 0.28/1.47
% 0.28/1.47 # Proof found!
% 0.28/1.47 # SZS status Theorem
% 0.28/1.47 # SZS output start CNFRefutation
% See solution above
% 0.28/1.47 # Proof object total steps : 56
% 0.28/1.47 # Proof object clause steps : 28
% 0.28/1.47 # Proof object formula steps : 28
% 0.28/1.47 # Proof object conjectures : 8
% 0.28/1.47 # Proof object clause conjectures : 5
% 0.28/1.47 # Proof object formula conjectures : 3
% 0.28/1.47 # Proof object initial clauses used : 16
% 0.28/1.47 # Proof object initial formulas used : 16
% 0.28/1.47 # Proof object generating inferences : 1
% 0.28/1.47 # Proof object simplifying inferences : 191
% 0.28/1.47 # Training examples: 0 positive, 0 negative
% 0.28/1.47 # Parsed axioms : 716
% 0.28/1.47 # Removed by relevancy pruning/SinE : 0
% 0.28/1.47 # Initial clauses : 955
% 0.28/1.47 # Removed in clause preprocessing : 24
% 0.28/1.47 # Initial clauses in saturation : 931
% 0.28/1.47 # Processed clauses : 992
% 0.28/1.47 # ...of these trivial : 118
% 0.28/1.47 # ...subsumed : 168
% 0.28/1.47 # ...remaining for further processing : 706
% 0.28/1.47 # Other redundant clauses eliminated : 26
% 0.28/1.47 # Clauses deleted for lack of memory : 0
% 0.28/1.47 # Backward-subsumed : 3
% 0.28/1.47 # Backward-rewritten : 63
% 0.28/1.47 # Generated clauses : 15698
% 0.28/1.47 # ...of the previous two non-trivial : 13607
% 0.28/1.47 # Contextual simplify-reflections : 10
% 0.28/1.47 # Paramodulations : 15654
% 0.28/1.47 # Factorizations : 7
% 0.28/1.47 # Equation resolutions : 37
% 0.28/1.47 # Current number of processed clauses : 625
% 0.28/1.47 # Positive orientable unit clauses : 153
% 0.28/1.47 # Positive unorientable unit clauses: 27
% 0.28/1.47 # Negative unit clauses : 24
% 0.28/1.47 # Non-unit-clauses : 421
% 0.28/1.47 # Current number of unprocessed clauses: 12443
% 0.28/1.47 # ...number of literals in the above : 34027
% 0.28/1.47 # Current number of archived formulas : 0
% 0.28/1.47 # Current number of archived clauses : 68
% 0.28/1.47 # Clause-clause subsumption calls (NU) : 34197
% 0.28/1.47 # Rec. Clause-clause subsumption calls : 15061
% 0.28/1.47 # Non-unit clause-clause subsumptions : 134
% 0.28/1.47 # Unit Clause-clause subsumption calls : 1649
% 0.28/1.47 # Rewrite failures with RHS unbound : 0
% 0.28/1.47 # BW rewrite match attempts : 384
% 0.28/1.47 # BW rewrite match successes : 182
% 0.28/1.47 # Condensation attempts : 0
% 0.28/1.47 # Condensation successes : 0
% 0.28/1.47 # Termbank termtop insertions : 347427
% 0.28/1.47
% 0.28/1.47 # -------------------------------------------------
% 0.28/1.47 # User time : 0.248 s
% 0.28/1.47 # System time : 0.019 s
% 0.28/1.47 # Total time : 0.267 s
% 0.28/1.47 # Maximum resident set size: 19368 pages
% 0.30/23.45 eprover: CPU time limit exceeded, terminating
% 0.30/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.47 eprover: No such file or directory
% 0.30/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.48 eprover: No such file or directory
% 0.30/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.48 eprover: No such file or directory
% 0.30/23.48 eprover: CPU time limit exceeded, terminating
% 0.30/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.49 eprover: No such file or directory
% 0.30/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.49 eprover: No such file or directory
% 0.30/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.50 eprover: No such file or directory
% 0.30/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.51 eprover: No such file or directory
% 0.30/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.51 eprover: No such file or directory
% 0.30/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.51 eprover: No such file or directory
% 0.30/23.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.52 eprover: No such file or directory
% 0.30/23.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.52 eprover: No such file or directory
% 0.30/23.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.52 eprover: No such file or directory
% 0.30/23.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.52 eprover: No such file or directory
% 0.30/23.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.53 eprover: No such file or directory
% 0.30/23.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.53 eprover: No such file or directory
% 0.30/23.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.53 eprover: No such file or directory
% 0.30/23.54 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.54 eprover: No such file or directory
% 0.30/23.54 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.54 eprover: No such file or directory
% 0.30/23.55 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.55 eprover: No such file or directory
% 0.30/23.56 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.56 eprover: No such file or directory
% 0.30/23.56 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.56 eprover: No such file or directory
% 0.30/23.57 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.57 eprover: No such file or directory
%------------------------------------------------------------------------------