%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : NUM924+2 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 01:50:59 PM UTC 2026
% Result : Theorem 0.26s 0.55s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 21
% Syntax : Number of formulae : 81 ( 78 unt; 0 def)
% Number of atoms : 84 ( 68 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 14 ( 11 ~; 0 |; 1 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-2 aty)
% Number of variables : 80 ( 1 sgn 50 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_244_number__of__Bit0,axiom,
! [X86] : number_number_of_int(bit0(X86)) = plus_plus_int(plus_plus_int(zero_zero_int,number_number_of_int(X86)),number_number_of_int(X86)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_244_number__of__Bit0) ).
fof(fact_180_Bit0__def,axiom,
! [X13] : bit0(X13) = plus_plus_int(X13,X13),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',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/benchmark/theBenchmark.p',fact_234_Bit1__def) ).
fof(fact_222_number__of__add,axiom,
! [X81,X82] : number_number_of_int(plus_plus_int(X81,X82)) = plus_plus_int(number_number_of_int(X81),number_number_of_int(X82)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_222_number__of__add) ).
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/benchmark/theBenchmark.p',fact_334_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J) ).
fof(fact_261_semiring__one__add__one__is__two,axiom,
plus_plus_int(one_one_int,one_one_int) = number_number_of_int(bit0(bit1(pls))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_261_semiring__one__add__one__is__two) ).
fof(fact_132_zadd__commute,axiom,
! [X14,X12] : plus_plus_int(X14,X12) = plus_plus_int(X12,X14),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_132_zadd__commute) ).
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/benchmark/theBenchmark.p',fact_131_zadd__left__commute) ).
fof(fact_133_zero__is__num__zero,axiom,
zero_zero_int = number_number_of_int(pls),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_133_zero__is__num__zero) ).
fof(fact_170_Pls__def,axiom,
pls = zero_zero_int,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_170_Pls__def) ).
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/benchmark/theBenchmark.p',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/benchmark/theBenchmark.p',fact_438_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J) ).
fof(fact_263_one__add__one__is__two,axiom,
plus_plus_int(one_one_int,one_one_int) = number_number_of_int(bit0(bit1(pls))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_263_one__add__one__is__two) ).
fof(fact_196_semiring__mult__2__right,axiom,
! [X71] : times_times_int(X71,number_number_of_int(bit0(bit1(pls)))) = plus_plus_int(X71,X71),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_196_semiring__mult__2__right) ).
fof(fact_30__096_B_Bthesis_O_A_I_B_Bt_O_As_A_094_A2_A_L_A1_A_061_A_I4_A_K_Am_A_L_A1_,axiom,
~ ! [X11] :
( is_int(X11)
=> 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),X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_30__096_B_Bthesis_O_A_I_B_Bt_O_As_A_094_A2_A_L_A1_A_061_A_I4_A_K_Am_A_L_A1_) ).
fof(fact_95_zadd__zmult__distrib2,axiom,
! [X12,X18,X19] : times_times_int(X12,plus_plus_int(X18,X19)) = plus_plus_int(times_times_int(X12,X18),times_times_int(X12,X19)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_95_zadd__zmult__distrib2) ).
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/benchmark/theBenchmark.p',fact_3_t) ).
fof(fact_94_zadd__zmult__distrib,axiom,
! [X18,X19,X12] : times_times_int(plus_plus_int(X18,X19),X12) = plus_plus_int(times_times_int(X18,X12),times_times_int(X19,X12)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_94_zadd__zmult__distrib) ).
fof(fact_35_zmult__commute,axiom,
! [X14,X12] : times_times_int(X14,X12) = times_times_int(X12,X14),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_35_zmult__commute) ).
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/benchmark/theBenchmark.p',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/benchmark/theBenchmark.p',fact_362_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J) ).
fof(c_0_21,plain,
! [X657] : number_number_of_int(bit0(X657)) = plus_plus_int(plus_plus_int(zero_zero_int,number_number_of_int(X657)),number_number_of_int(X657)),
inference(variable_rename,[status(thm)],[fact_244_number__of__Bit0]) ).
fof(c_0_22,plain,
! [X582] : bit0(X582) = plus_plus_int(X582,X582),
inference(variable_rename,[status(thm)],[fact_180_Bit0__def]) ).
fof(c_0_23,plain,
! [X643] : bit1(X643) = plus_plus_int(plus_plus_int(one_one_int,X643),X643),
inference(variable_rename,[status(thm)],[fact_234_Bit1__def]) ).
cnf(c_0_24,plain,
number_number_of_int(bit0(X1)) = plus_plus_int(plus_plus_int(zero_zero_int,number_number_of_int(X1)),number_number_of_int(X1)),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_25,plain,
bit0(X1) = plus_plus_int(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_26,plain,
! [X628,X629] : number_number_of_int(plus_plus_int(X628,X629)) = plus_plus_int(number_number_of_int(X628),number_number_of_int(X629)),
inference(variable_rename,[status(thm)],[fact_222_number__of__add]) ).
fof(c_0_27,plain,
! [X836,X837,X838] : plus_plus_int(X836,plus_plus_int(X837,X838)) = plus_plus_int(plus_plus_int(X836,X837),X838),
inference(variable_rename,[status(thm)],[fact_334_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J]) ).
cnf(c_0_28,plain,
plus_plus_int(one_one_int,one_one_int) = number_number_of_int(bit0(bit1(pls))),
inference(split_conjunct,[status(thm)],[fact_261_semiring__one__add__one__is__two]) ).
cnf(c_0_29,plain,
bit1(X1) = plus_plus_int(plus_plus_int(one_one_int,X1),X1),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_30,plain,
! [X511,X512] : plus_plus_int(X511,X512) = plus_plus_int(X512,X511),
inference(variable_rename,[status(thm)],[fact_132_zadd__commute]) ).
fof(c_0_31,plain,
! [X508,X509,X510] : plus_plus_int(X508,plus_plus_int(X509,X510)) = plus_plus_int(X509,plus_plus_int(X508,X510)),
inference(variable_rename,[status(thm)],[fact_131_zadd__left__commute]) ).
cnf(c_0_32,plain,
zero_zero_int = number_number_of_int(pls),
inference(split_conjunct,[status(thm)],[fact_133_zero__is__num__zero]) ).
cnf(c_0_33,plain,
pls = zero_zero_int,
inference(split_conjunct,[status(thm)],[fact_170_Pls__def]) ).
cnf(c_0_34,plain,
number_number_of_int(plus_plus_int(X1,X1)) = plus_plus_int(plus_plus_int(zero_zero_int,number_number_of_int(X1)),number_number_of_int(X1)),
inference(rw,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_35,plain,
number_number_of_int(plus_plus_int(X1,X2)) = plus_plus_int(number_number_of_int(X1),number_number_of_int(X2)),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_36,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_27]) ).
fof(c_0_37,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_38,plain,
! [X1069] : times_times_int(X1069,X1069) = power_power_int(X1069,number_number_of_nat(bit0(bit1(pls)))),
inference(variable_rename,[status(thm)],[fact_438_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J]) ).
cnf(c_0_39,plain,
plus_plus_int(one_one_int,one_one_int) = number_number_of_int(bit0(bit1(pls))),
inference(split_conjunct,[status(thm)],[fact_263_one__add__one__is__two]) ).
cnf(c_0_40,plain,
plus_plus_int(one_one_int,one_one_int) = number_number_of_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))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_25]),c_0_29]),c_0_29]) ).
cnf(c_0_41,plain,
plus_plus_int(X1,X2) = plus_plus_int(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_42,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_31]) ).
cnf(c_0_43,plain,
number_number_of_int(zero_zero_int) = zero_zero_int,
inference(rw,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_44,plain,
plus_plus_int(zero_zero_int,plus_plus_int(number_number_of_int(X1),number_number_of_int(X1))) = plus_plus_int(number_number_of_int(X1),number_number_of_int(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_35]),c_0_36]) ).
fof(c_0_45,plain,
! [X600] : times_times_int(X600,number_number_of_int(bit0(bit1(pls)))) = plus_plus_int(X600,X600),
inference(variable_rename,[status(thm)],[fact_196_semiring__mult__2__right]) ).
fof(c_0_46,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_37]) ).
fof(c_0_47,plain,
~ ! [X11] :
( is_int(X11)
=> 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),X11) ),
inference(fof_simplification,[status(thm)],[fact_30__096_B_Bthesis_O_A_I_B_Bt_O_As_A_094_A2_A_L_A1_A_061_A_I4_A_K_Am_A_L_A1_]) ).
cnf(c_0_48,plain,
times_times_int(X1,X1) = power_power_int(X1,number_number_of_nat(bit0(bit1(pls)))),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_49,plain,
plus_plus_int(one_one_int,one_one_int) = number_number_of_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))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_25]),c_0_29]),c_0_29]) ).
cnf(c_0_50,plain,
plus_plus_int(number_number_of_int(one_one_int),number_number_of_int(one_one_int)) = plus_plus_int(one_one_int,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)],[c_0_40,c_0_33]),c_0_41]),c_0_33]),c_0_41]),c_0_33]),c_0_41]),c_0_33]),c_0_41]),c_0_36]),c_0_36]),c_0_42]),c_0_42]),c_0_35]),c_0_43]),c_0_35]),c_0_43]),c_0_35]),c_0_43]),c_0_35]),c_0_43]),c_0_35]),c_0_44]),c_0_44]),c_0_44]),c_0_44]) ).
cnf(c_0_51,plain,
times_times_int(X1,number_number_of_int(bit0(bit1(pls)))) = plus_plus_int(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
fof(c_0_52,plain,
! [X436,X437,X438] : times_times_int(X436,plus_plus_int(X437,X438)) = plus_plus_int(times_times_int(X436,X437),times_times_int(X436,X438)),
inference(variable_rename,[status(thm)],[fact_95_zadd__zmult__distrib2]) ).
fof(c_0_53,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_nnf,[status(thm)],[c_0_46]) ).
fof(c_0_54,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),esk1_0)
& is_int(esk1_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_47])])]) ).
cnf(c_0_55,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]) ).
cnf(c_0_56,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_48,c_0_25]),c_0_29]),c_0_29]) ).
cnf(c_0_57,plain,
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))))) = plus_plus_int(one_one_int,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)],[c_0_49,c_0_33]),c_0_41]),c_0_33]),c_0_41]),c_0_33]),c_0_41]),c_0_33]),c_0_41]),c_0_36]),c_0_36]),c_0_42]),c_0_42]),c_0_35]),c_0_43]),c_0_35]),c_0_43]),c_0_35]),c_0_43]),c_0_35]),c_0_43]),c_0_35]),c_0_50]) ).
fof(c_0_58,plain,
! [X433,X434,X435] : times_times_int(plus_plus_int(X433,X434),X435) = plus_plus_int(times_times_int(X433,X435),times_times_int(X434,X435)),
inference(variable_rename,[status(thm)],[fact_94_zadd__zmult__distrib]) ).
fof(c_0_59,plain,
! [X332,X333] : times_times_int(X332,X333) = times_times_int(X333,X332),
inference(variable_rename,[status(thm)],[fact_35_zmult__commute]) ).
cnf(c_0_60,plain,
times_times_int(X1,number_number_of_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(X1,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_25]),c_0_29]),c_0_29]) ).
cnf(c_0_61,plain,
times_times_int(X1,plus_plus_int(X2,X3)) = plus_plus_int(times_times_int(X1,X2),times_times_int(X1,X3)),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_62,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_53]) ).
cnf(c_0_63,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),esk1_0),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_64,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_55,c_0_25]),c_0_25]),c_0_25]),c_0_29]),c_0_29]),c_0_29]),c_0_29]),c_0_29]),c_0_29]) ).
cnf(c_0_65,plain,
power_power_int(X1,number_number_of_nat(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)],[inference(rw,[status(thm)],[c_0_56,c_0_33]),c_0_41]),c_0_33]),c_0_41]),c_0_33]),c_0_41]),c_0_33]),c_0_41]),c_0_36]),c_0_36]),c_0_42]),c_0_42]),c_0_57]) ).
cnf(c_0_66,plain,
times_times_int(plus_plus_int(X1,X2),X3) = plus_plus_int(times_times_int(X1,X3),times_times_int(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_67,plain,
times_times_int(X1,X2) = times_times_int(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_68,plain,
plus_plus_int(times_times_int(X1,one_one_int),times_times_int(X1,one_one_int)) = plus_plus_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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_33]),c_0_41]),c_0_33]),c_0_41]),c_0_33]),c_0_41]),c_0_33]),c_0_41]),c_0_36]),c_0_36]),c_0_42]),c_0_42]),c_0_57]),c_0_35]),c_0_50]),c_0_61]) ).
cnf(c_0_69,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]) ).
fof(c_0_70,plain,
! [X896] : times_times_int(X896,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_71,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_62,c_0_25]),c_0_29]),c_0_29]) ).
cnf(c_0_72,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),esk1_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_63,c_0_25]),c_0_25]),c_0_25]),c_0_29]),c_0_29]),c_0_29]),c_0_29]),c_0_29]),c_0_29]) ).
cnf(c_0_73,plain,
plus_plus_int(one_one_int,times_times_int(s,s)) = plus_plus_int(times_times_int(t,m),plus_plus_int(times_times_int(t,m),plus_plus_int(times_times_int(t,m),plus_plus_int(times_times_int(t,m),times_times_int(t,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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_64,c_0_33]),c_0_41]),c_0_33]),c_0_41]),c_0_33]),c_0_41]),c_0_33]),c_0_41]),c_0_36]),c_0_36]),c_0_42]),c_0_42]),c_0_57]),c_0_65]),c_0_41]),c_0_33]),c_0_41]),c_0_33]),c_0_41]),c_0_33]),c_0_41]),c_0_33]),c_0_41]),c_0_36]),c_0_36]),c_0_42]),c_0_42]),c_0_57]),c_0_33]),c_0_41]),c_0_33]),c_0_41]),c_0_33]),c_0_41]),c_0_33]),c_0_41]),c_0_36]),c_0_36]),c_0_42]),c_0_42]),c_0_57]),c_0_36]),c_0_35]),c_0_35]),c_0_35]),c_0_50]),c_0_41]),c_0_36]),c_0_42]),c_0_42]),c_0_50]),c_0_66]),c_0_67]),c_0_66]),c_0_67]),c_0_66]),c_0_67]),c_0_67]),c_0_68]),c_0_41]),c_0_36]),c_0_42]),c_0_42]),c_0_68]),c_0_36]),c_0_36]),c_0_36]),c_0_66]),c_0_67]),c_0_66]),c_0_67]),c_0_66]),c_0_67]),c_0_66]),c_0_67]),c_0_67]) ).
cnf(c_0_74,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_69,c_0_25]),c_0_25]),c_0_25]),c_0_25]),c_0_29]),c_0_29]),c_0_29]),c_0_29]),c_0_29]),c_0_29]),c_0_29]),c_0_29]) ).
cnf(c_0_75,plain,
times_times_int(X1,zero_zero_int) = zero_zero_int,
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_76,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_71,c_0_33]),c_0_33]),c_0_33]),c_0_33]) ).
cnf(c_0_77,plain,
plus_plus_int(times_times_int(t,m),plus_plus_int(times_times_int(t,m),plus_plus_int(times_times_int(t,m),plus_plus_int(times_times_int(t,m),times_times_int(t,one_one_int))))) = plus_plus_int(times_times_int(esk1_0,m),plus_plus_int(times_times_int(esk1_0,m),plus_plus_int(times_times_int(esk1_0,m),plus_plus_int(times_times_int(esk1_0,m),times_times_int(esk1_0,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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_72,c_0_33]),c_0_41]),c_0_33]),c_0_41]),c_0_33]),c_0_41]),c_0_33]),c_0_41]),c_0_36]),c_0_36]),c_0_42]),c_0_42]),c_0_57]),c_0_65]),c_0_41]),c_0_73]),c_0_33]),c_0_41]),c_0_33]),c_0_41]),c_0_33]),c_0_41]),c_0_33]),c_0_41]),c_0_36]),c_0_36]),c_0_42]),c_0_42]),c_0_57]),c_0_33]),c_0_41]),c_0_33]),c_0_41]),c_0_33]),c_0_41]),c_0_33]),c_0_41]),c_0_36]),c_0_36]),c_0_42]),c_0_42]),c_0_57]),c_0_36]),c_0_35]),c_0_35]),c_0_35]),c_0_50]),c_0_41]),c_0_36]),c_0_42]),c_0_42]),c_0_50]),c_0_66]),c_0_67]),c_0_66]),c_0_67]),c_0_66]),c_0_67]),c_0_67]),c_0_68]),c_0_41]),c_0_36]),c_0_42]),c_0_42]),c_0_68]),c_0_36]),c_0_36]),c_0_36]),c_0_66]),c_0_67]),c_0_66]),c_0_67]),c_0_66]),c_0_67]),c_0_66]),c_0_67]),c_0_67]) ).
cnf(c_0_78,plain,
ord_less_int(plus_plus_int(times_times_int(t,m),plus_plus_int(times_times_int(t,m),plus_plus_int(times_times_int(t,m),plus_plus_int(times_times_int(t,m),times_times_int(t,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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_74,c_0_33]),c_0_41]),c_0_33]),c_0_41]),c_0_33]),c_0_41]),c_0_33]),c_0_41]),c_0_36]),c_0_36]),c_0_42]),c_0_42]),c_0_57]),c_0_33]),c_0_41]),c_0_33]),c_0_41]),c_0_33]),c_0_41]),c_0_33]),c_0_41]),c_0_36]),c_0_36]),c_0_42]),c_0_42]),c_0_57]),c_0_36]),c_0_35]),c_0_35]),c_0_35]),c_0_50]),c_0_41]),c_0_36]),c_0_42]),c_0_42]),c_0_50]),c_0_66]),c_0_67]),c_0_66]),c_0_67]),c_0_66]),c_0_67]),c_0_67]),c_0_68]),c_0_41]),c_0_36]),c_0_42]),c_0_42]),c_0_68]),c_0_36]),c_0_36]),c_0_36]),c_0_66]),c_0_67]),c_0_66]),c_0_67]),c_0_66]),c_0_67]),c_0_66]),c_0_67]),c_0_67]),c_0_33]),c_0_41]),c_0_33]),c_0_41]),c_0_33]),c_0_41]),c_0_33]),c_0_41]),c_0_36]),c_0_36]),c_0_42]),c_0_42]),c_0_57]),c_0_33]),c_0_41]),c_0_33]),c_0_41]),c_0_33]),c_0_41]),c_0_33]),c_0_41]),c_0_36]),c_0_36]),c_0_42]),c_0_42]),c_0_57]),c_0_36]),c_0_35]),c_0_35]),c_0_35]),c_0_50]),c_0_41]),c_0_36]),c_0_42]),c_0_42]),c_0_50]),c_0_66]),c_0_67]),c_0_66]),c_0_67]),c_0_66]),c_0_67]),c_0_67]),c_0_68]),c_0_41]),c_0_36]),c_0_42]),c_0_42]),c_0_68]),c_0_36]),c_0_36]),c_0_36]),c_0_75]) ).
cnf(c_0_79,negated_conjecture,
~ ord_less_int(plus_plus_int(times_times_int(esk1_0,m),plus_plus_int(times_times_int(esk1_0,m),plus_plus_int(times_times_int(esk1_0,m),plus_plus_int(times_times_int(esk1_0,m),times_times_int(esk1_0,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)],[inference(rw,[status(thm)],[c_0_76,c_0_41]),c_0_41]),c_0_41]),c_0_41]),c_0_41]),c_0_36]),c_0_36]),c_0_42]),c_0_42]),c_0_57]),c_0_65]),c_0_73]),c_0_77]) ).
cnf(c_0_80,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_78,c_0_77]),c_0_79]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM924+2 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n012.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 03:16:07 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.26/0.55 % Version: 3.5.1
% 0.26/0.55 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.26/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.26/0.55 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.26/0.55 % Starting new_bool_3 with 300s (1) cores
% 0.26/0.55 % Starting new_bool_1 with 300s (1) cores
% 0.26/0.55 % Starting sh5l with 300s (1) cores
% 0.26/0.55 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 1445626 completed with status 0
% 0.26/0.55 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.26/0.55 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.26/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.26/0.55 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.26/0.55 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.26/0.55 % No SInE strategy applied
% 0.26/0.55 % Search class: FGHSM-FSLM31-DFFFFFNN
% 0.26/0.55 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.26/0.55 % Starting SubtermCWHack with 136s (1) cores
% 0.26/0.55 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.26/0.55 % Starting C07_19_nc_SAT001_MinMin_p005000_rr with 354s (1) cores
% 0.26/0.55 % Starting U----_206c_10_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.26/0.55 % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 0.26/0.55 % U----_206c_10_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with pid 1445636 completed with status 0
% 0.26/0.55 % Result found by U----_206c_10_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN
% 0.26/0.55 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.26/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.26/0.55 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.26/0.55 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.26/0.55 % No SInE strategy applied
% 0.26/0.55 % Search class: FGHSM-FSLM31-DFFFFFNN
% 0.26/0.55 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.26/0.55 % Starting SubtermCWHack with 136s (1) cores
% 0.26/0.55 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.26/0.55 % Starting C07_19_nc_SAT001_MinMin_p005000_rr with 354s (1) cores
% 0.26/0.55 % Starting U----_206c_10_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.26/0.55 % Preprocessing time : 0.010 s
% 0.26/0.55 % Presaturation interreduction done
% 0.26/0.55
% 0.26/0.55 % Proof found!
% 0.26/0.55 % SZS status Theorem
% 0.26/0.55 % SZS output start CNFRefutation
% See solution above
% 0.26/0.55 % Parsed axioms : 716
% 0.26/0.55 % Removed by relevancy pruning/SinE : 0
% 0.26/0.55 % Initial clauses : 955
% 0.26/0.55 % Removed in clause preprocessing : 24
% 0.26/0.55 % Initial clauses in saturation : 931
% 0.26/0.55 % Processed clauses : 994
% 0.26/0.55 % ...of these trivial : 136
% 0.26/0.55 % ...subsumed : 150
% 0.26/0.55 % ...remaining for further processing : 707
% 0.26/0.55 % Other redundant clauses eliminated : 93
% 0.26/0.55 % Clauses deleted for lack of memory : 0
% 0.26/0.55 % Backward-subsumed : 0
% 0.26/0.55 % Backward-rewritten : 28
% 0.26/0.55 % Generated clauses : 75
% 0.26/0.55 % ...of the previous two non-redundant : 67
% 0.26/0.55 % ...aggressively subsumed : 0
% 0.26/0.55 % Contextual simplify-reflections : 2
% 0.26/0.55 % Paramodulations : 0
% 0.26/0.55 % Factorizations : 0
% 0.26/0.55 % NegExts : 0
% 0.26/0.55 % Equation resolutions : 93
% 0.26/0.55 % Disequality decompositions : 0
% 0.26/0.55 % Total rewrite steps : 5727
% 0.26/0.55 % ...of those cached : 5290
% 0.26/0.55 % Propositional unsat checks : 0
% 0.26/0.55 % Propositional check models : 0
% 0.26/0.55 % Propositional check unsatisfiable : 0
% 0.26/0.55 % Propositional clauses : 0
% 0.26/0.55 % Propositional clauses after purity: 0
% 0.26/0.55 % Propositional unsat core size : 0
% 0.26/0.55 % Propositional preprocessing time : 0.000
% 0.26/0.55 % Propositional encoding time : 0.000
% 0.26/0.55 % Propositional solver time : 0.000
% 0.26/0.55 % Success case prop preproc time : 0.000
% 0.26/0.55 % Success case prop encoding time : 0.000
% 0.26/0.55 % Success case prop solver time : 0.000
% 0.26/0.55 % Current number of processed clauses : 604
% 0.26/0.55 % Positive orientable unit clauses : 164
% 0.26/0.55 % Positive unorientable unit clauses: 22
% 0.26/0.55 % Negative unit clauses : 21
% 0.26/0.55 % Non-unit-clauses : 397
% 0.26/0.55 % Current number of unprocessed clauses: 4
% 0.26/0.55 % ...number of literals in the above : 4
% 0.26/0.55 % Current number of archived formulas : 0
% 0.26/0.55 % Current number of archived clauses : 30
% 0.26/0.55 % Clause-clause subsumption calls (NU) : 33635
% 0.26/0.55 % Rec. Clause-clause subsumption calls : 15169
% 0.26/0.55 % Non-unit clause-clause subsumptions : 115
% 0.26/0.55 % Unit Clause-clause subsumption calls : 1214
% 0.26/0.55 % Rewrite failures with RHS unbound : 0
% 0.26/0.55 % BW rewrite match attempts : 229
% 0.26/0.55 % BW rewrite match successes : 76
% 0.26/0.55 % Condensation attempts : 0
% 0.26/0.55 % Condensation successes : 0
% 0.26/0.55 % Termbank termtop insertions : 79351
% 0.26/0.55 % Search garbage collected termcells : 8563
% 0.26/0.55
% 0.26/0.55 % -------------------------------------------------
% 0.26/0.55 % User time : 0.103 s
% 0.26/0.55 % System time : 0.011 s
% 0.26/0.55 % Total time : 0.114 s
% 0.26/0.55 % Maximum resident set size: 6848 pages
% 0.26/0.55
% 0.26/0.55 % -------------------------------------------------
% 0.26/0.55 % User time : 0.383 s
% 0.26/0.55 % System time : 0.055 s
% 0.26/0.55 % Total time : 0.438 s
% 0.26/0.55 % Maximum resident set size: 5888 pages
% 0.26/0.55 % E exiting
%------------------------------------------------------------------------------