TSTP Solution File: NUM926+2 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM926+2 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n013.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 09:37:52 EDT 2022
% Result : Theorem 0.28s 1.46s
% Output : CNFRefutation 0.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 20
% Syntax : Number of formulae : 78 ( 52 unt; 0 def)
% Number of atoms : 133 ( 63 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 99 ( 44 ~; 38 |; 10 &)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 9 con; 0-2 aty)
% Number of variables : 80 ( 11 sgn 39 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_0,conjecture,
? [X3,X4] : plus_plus_int(power_power_int(X3,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X4,number_number_of_nat(bit0(bit1(pls))))) = plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',conj_0) ).
fof(fact_251_Bit1__def,axiom,
! [X23] : bit1(X23) = plus_plus_int(plus_plus_int(one_one_int,X23),X23),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_251_Bit1__def) ).
fof(fact_204_Bit0__def,axiom,
! [X23] : bit0(X23) = plus_plus_int(X23,X23),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_204_Bit0__def) ).
fof(fact_29_add__special_I2_J,axiom,
! [X14] : plus_plus_int(one_one_int,number_number_of_int(X14)) = number_number_of_int(plus_plus_int(bit1(pls),X14)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_29_add__special_I2_J) ).
fof(fact_264_semiring__norm_I110_J,axiom,
one_one_int = number_number_of_int(bit1(pls)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_264_semiring__norm_I110_J) ).
fof(fact_126_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,axiom,
! [X78,X79,X80] : plus_plus_int(X78,plus_plus_int(X79,X80)) = plus_plus_int(plus_plus_int(X78,X79),X80),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_126_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J) ).
fof(fact_198_Bit0__Pls,axiom,
bit0(pls) = pls,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_198_Bit0__Pls) ).
fof(fact_132_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom,
! [X84,X85] : plus_plus_int(X84,X85) = plus_plus_int(X85,X84),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_132_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J) ).
fof(fact_201_add__Pls__right,axiom,
! [X23] :
( is_int(X23)
=> plus_plus_int(X23,pls) = X23 ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_201_add__Pls__right) ).
fof(fact_1__096t_A_061_A1_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06,axiom,
( t = one_one_int
=> ? [X3,X4] :
( is_int(X3)
& is_int(X4)
& plus_plus_int(power_power_int(X3,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X4,number_number_of_nat(bit0(bit1(pls))))) = plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_1__096t_A_061_A1_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06) ).
fof(gsy_c_Groups_Oone__class_Oone_000tc__Int__Oint,hypothesis,
is_int(one_one_int),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',gsy_c_Groups_Oone__class_Oone_000tc__Int__Oint) ).
fof(fact_2__0961_A_060_At_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06,axiom,
( ord_less_int(one_one_int,t)
=> ? [X3,X4] :
( is_int(X3)
& is_int(X4)
& plus_plus_int(power_power_int(X3,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X4,number_number_of_nat(bit0(bit1(pls))))) = plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_2__0961_A_060_At_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06) ).
fof(fact_642_zcong__not__zero,axiom,
! [X175,X21] :
( ord_less_int(zero_zero_int,X21)
=> ( ord_less_int(X21,X175)
=> ~ zcong(X21,zero_zero_int,X175) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_642_zcong__not__zero) ).
fof(fact_424_int__one__le__iff__zero__less,axiom,
! [X19] :
( ord_less_eq_int(one_one_int,X19)
<=> ord_less_int(zero_zero_int,X19) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_424_int__one__le__iff__zero__less) ).
fof(fact_114_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom,
! [X66,X67] : times_times_int(X66,X67) = times_times_int(X67,X66),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_114_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J) ).
fof(fact_356_Pls__def,axiom,
pls = zero_zero_int,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_356_Pls__def) ).
fof(fact_568_zcong__1,axiom,
! [X5,X6] : zcong(X5,X6,one_one_int),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_568_zcong__1) ).
fof(fact_38_zless__linear,axiom,
! [X21,X22] :
( ( is_int(X21)
& is_int(X22) )
=> ( ord_less_int(X21,X22)
| X21 = X22
| ord_less_int(X22,X21) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_38_zless__linear) ).
fof(fact_0_tpos,axiom,
ord_less_eq_int(one_one_int,t),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_0_tpos) ).
fof(gsy_v_t____,axiom,
is_int(t),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',gsy_v_t____) ).
fof(c_0_20,negated_conjecture,
~ ? [X3,X4] : plus_plus_int(power_power_int(X3,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X4,number_number_of_nat(bit0(bit1(pls))))) = plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),
inference(assume_negation,[status(cth)],[conj_0]) ).
fof(c_0_21,plain,
! [X24] : bit1(X24) = plus_plus_int(plus_plus_int(one_one_int,X24),X24),
inference(variable_rename,[status(thm)],[fact_251_Bit1__def]) ).
fof(c_0_22,plain,
! [X24] : bit0(X24) = plus_plus_int(X24,X24),
inference(variable_rename,[status(thm)],[fact_204_Bit0__def]) ).
fof(c_0_23,negated_conjecture,
! [X5,X6] : plus_plus_int(power_power_int(X5,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X6,number_number_of_nat(bit0(bit1(pls))))) != plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])]) ).
fof(c_0_24,plain,
! [X15] : plus_plus_int(one_one_int,number_number_of_int(X15)) = number_number_of_int(plus_plus_int(bit1(pls),X15)),
inference(variable_rename,[status(thm)],[fact_29_add__special_I2_J]) ).
cnf(c_0_25,plain,
one_one_int = number_number_of_int(bit1(pls)),
inference(split_conjunct,[status(thm)],[fact_264_semiring__norm_I110_J]) ).
cnf(c_0_26,plain,
bit1(X1) = plus_plus_int(plus_plus_int(one_one_int,X1),X1),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_27,plain,
! [X81,X82,X83] : plus_plus_int(X81,plus_plus_int(X82,X83)) = plus_plus_int(plus_plus_int(X81,X82),X83),
inference(variable_rename,[status(thm)],[fact_126_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J]) ).
cnf(c_0_28,plain,
bit0(pls) = pls,
inference(split_conjunct,[status(thm)],[fact_198_Bit0__Pls]) ).
cnf(c_0_29,plain,
bit0(X1) = plus_plus_int(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_30,plain,
! [X86,X87] : plus_plus_int(X86,X87) = plus_plus_int(X87,X86),
inference(variable_rename,[status(thm)],[fact_132_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J]) ).
fof(c_0_31,plain,
! [X24] :
( ~ is_int(X24)
| plus_plus_int(X24,pls) = X24 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_201_add__Pls__right])]) ).
fof(c_0_32,plain,
( ( is_int(esk1_0)
| t != one_one_int )
& ( is_int(esk2_0)
| t != one_one_int )
& ( plus_plus_int(power_power_int(esk1_0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(esk2_0,number_number_of_nat(bit0(bit1(pls))))) = plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)
| t != one_one_int ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1__096t_A_061_A1_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06])])])])])]) ).
cnf(c_0_33,negated_conjecture,
plus_plus_int(power_power_int(X1,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X2,number_number_of_nat(bit0(bit1(pls))))) != plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_34,plain,
plus_plus_int(one_one_int,number_number_of_int(X1)) = number_number_of_int(plus_plus_int(bit1(pls),X1)),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_35,plain,
one_one_int = number_number_of_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),
inference(rw,[status(thm)],[c_0_25,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]) ).
cnf(c_0_37,plain,
plus_plus_int(pls,pls) = pls,
inference(rw,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_38,plain,
plus_plus_int(X1,X2) = plus_plus_int(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_39,plain,
( plus_plus_int(X1,pls) = X1
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_40,hypothesis,
is_int(one_one_int),
inference(split_conjunct,[status(thm)],[gsy_c_Groups_Oone__class_Oone_000tc__Int__Oint]) ).
fof(c_0_41,plain,
( ( is_int(esk3_0)
| ~ ord_less_int(one_one_int,t) )
& ( is_int(esk4_0)
| ~ ord_less_int(one_one_int,t) )
& ( plus_plus_int(power_power_int(esk3_0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(esk4_0,number_number_of_nat(bit0(bit1(pls))))) = plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)
| ~ ord_less_int(one_one_int,t) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_2__0961_A_060_At_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06])])])])])]) ).
fof(c_0_42,plain,
! [X176,X177] :
( ~ ord_less_int(zero_zero_int,X177)
| ~ ord_less_int(X177,X176)
| ~ zcong(X177,zero_zero_int,X176) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_642_zcong__not__zero])])]) ).
fof(c_0_43,plain,
! [X20,X20] :
( ( ~ ord_less_eq_int(one_one_int,X20)
| ord_less_int(zero_zero_int,X20) )
& ( ~ ord_less_int(zero_zero_int,X20)
| ord_less_eq_int(one_one_int,X20) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_424_int__one__le__iff__zero__less])])])]) ).
cnf(c_0_44,plain,
( plus_plus_int(power_power_int(esk1_0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(esk2_0,number_number_of_nat(bit0(bit1(pls))))) = plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)
| t != one_one_int ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_45,negated_conjecture,
plus_plus_int(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)))),power_power_int(X2,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))))) != 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),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_33,c_0_29]),c_0_29]),c_0_29]),c_0_29]),c_0_26]),c_0_26]),c_0_26]),c_0_26]),c_0_26]),c_0_26]),c_0_26]),c_0_26]) ).
cnf(c_0_46,plain,
plus_plus_int(one_one_int,number_number_of_int(X1)) = number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),X1)),
inference(rw,[status(thm)],[c_0_34,c_0_26]) ).
cnf(c_0_47,plain,
number_number_of_int(plus_plus_int(pls,one_one_int)) = one_one_int,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_36]),c_0_37]),c_0_38]) ).
cnf(c_0_48,hypothesis,
plus_plus_int(pls,one_one_int) = one_one_int,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_38]) ).
fof(c_0_49,plain,
! [X68,X69] : times_times_int(X68,X69) = times_times_int(X69,X68),
inference(variable_rename,[status(thm)],[fact_114_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J]) ).
cnf(c_0_50,plain,
( plus_plus_int(power_power_int(esk3_0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(esk4_0,number_number_of_nat(bit0(bit1(pls))))) = plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)
| ~ ord_less_int(one_one_int,t) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_51,plain,
( ~ zcong(X1,zero_zero_int,X2)
| ~ ord_less_int(X1,X2)
| ~ ord_less_int(zero_zero_int,X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_52,plain,
pls = zero_zero_int,
inference(split_conjunct,[status(thm)],[fact_356_Pls__def]) ).
fof(c_0_53,plain,
! [X7,X8] : zcong(X7,X8,one_one_int),
inference(variable_rename,[status(thm)],[fact_568_zcong__1]) ).
cnf(c_0_54,plain,
( ord_less_int(zero_zero_int,X1)
| ~ ord_less_eq_int(one_one_int,X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
fof(c_0_55,plain,
! [X23,X24] :
( ~ is_int(X23)
| ~ is_int(X24)
| ord_less_int(X23,X24)
| X23 = X24
| ord_less_int(X24,X23) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_38_zless__linear])]) ).
cnf(c_0_56,plain,
( plus_plus_int(power_power_int(esk1_0,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)))),power_power_int(esk2_0,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))))) = 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 != 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)],[c_0_44,c_0_29]),c_0_29]),c_0_29]),c_0_29]),c_0_26]),c_0_26]),c_0_26]),c_0_26]),c_0_26]),c_0_26]),c_0_26]),c_0_26]) ).
cnf(c_0_57,negated_conjecture,
plus_plus_int(power_power_int(X1,number_number_of_nat(plus_plus_int(one_one_int,plus_plus_int(pls,plus_plus_int(one_one_int,pls))))),power_power_int(X2,number_number_of_nat(plus_plus_int(one_one_int,plus_plus_int(pls,plus_plus_int(one_one_int,pls)))))) != plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(one_one_int,plus_plus_int(pls,plus_plus_int(one_one_int,plus_plus_int(pls,plus_plus_int(one_one_int,plus_plus_int(pls,plus_plus_int(one_one_int,pls)))))))),m),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)],[c_0_45,c_0_36]),c_0_37]),c_0_36]),c_0_37]),c_0_36]),c_0_36]),c_0_37]),c_0_36]),c_0_37]),c_0_36]),c_0_36]),c_0_37]),c_0_36]),c_0_37]),c_0_36]),c_0_36]),c_0_37]),c_0_36]),c_0_37]),c_0_36]),c_0_36]),c_0_36]),c_0_36]) ).
cnf(c_0_58,plain,
number_number_of_int(plus_plus_int(one_one_int,plus_plus_int(pls,X1))) = plus_plus_int(one_one_int,number_number_of_int(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_36]),c_0_37]),c_0_36]) ).
cnf(c_0_59,plain,
number_number_of_int(one_one_int) = one_one_int,
inference(rw,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_60,plain,
times_times_int(X1,X2) = times_times_int(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_61,plain,
( plus_plus_int(power_power_int(esk3_0,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)))),power_power_int(esk4_0,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))))) = 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)
| ~ ord_less_int(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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_29]),c_0_29]),c_0_29]),c_0_29]),c_0_26]),c_0_26]),c_0_26]),c_0_26]),c_0_26]),c_0_26]),c_0_26]),c_0_26]) ).
cnf(c_0_62,plain,
( ~ zcong(X1,pls,X2)
| ~ ord_less_int(pls,X1)
| ~ ord_less_int(X1,X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_52]),c_0_52]) ).
cnf(c_0_63,plain,
zcong(X1,X2,one_one_int),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_64,plain,
( ord_less_int(pls,X1)
| ~ ord_less_eq_int(one_one_int,X1) ),
inference(rw,[status(thm)],[c_0_54,c_0_52]) ).
cnf(c_0_65,plain,
ord_less_eq_int(one_one_int,t),
inference(split_conjunct,[status(thm)],[fact_0_tpos]) ).
cnf(c_0_66,plain,
( ord_less_int(X1,X2)
| X2 = X1
| ord_less_int(X2,X1)
| ~ is_int(X1)
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_67,plain,
( plus_plus_int(power_power_int(esk1_0,number_number_of_nat(plus_plus_int(one_one_int,plus_plus_int(pls,plus_plus_int(one_one_int,pls))))),power_power_int(esk2_0,number_number_of_nat(plus_plus_int(one_one_int,plus_plus_int(pls,plus_plus_int(one_one_int,pls)))))) = plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(one_one_int,plus_plus_int(pls,plus_plus_int(one_one_int,plus_plus_int(pls,plus_plus_int(one_one_int,plus_plus_int(pls,plus_plus_int(one_one_int,pls)))))))),m),one_one_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)],[c_0_56,c_0_36]),c_0_37]),c_0_36]),c_0_37]),c_0_36]),c_0_36]),c_0_37]),c_0_36]),c_0_37]),c_0_36]),c_0_36]),c_0_37]),c_0_36]),c_0_37]),c_0_36]),c_0_36]),c_0_37]),c_0_36]),c_0_37]),c_0_36]),c_0_36]),c_0_36]),c_0_36]) ).
cnf(c_0_68,negated_conjecture,
plus_plus_int(power_power_int(X1,number_number_of_nat(plus_plus_int(one_one_int,one_one_int))),power_power_int(X2,number_number_of_nat(plus_plus_int(one_one_int,one_one_int)))) != plus_plus_int(one_one_int,times_times_int(m,plus_plus_int(one_one_int,plus_plus_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)],[c_0_57,c_0_58]),c_0_58]),c_0_58]),c_0_38]),c_0_48]),c_0_48]),c_0_38]),c_0_48]),c_0_48]),c_0_38]),c_0_48]),c_0_59]),c_0_60]),c_0_38]) ).
cnf(c_0_69,plain,
( plus_plus_int(power_power_int(esk3_0,number_number_of_nat(plus_plus_int(one_one_int,plus_plus_int(pls,plus_plus_int(one_one_int,pls))))),power_power_int(esk4_0,number_number_of_nat(plus_plus_int(one_one_int,plus_plus_int(pls,plus_plus_int(one_one_int,pls)))))) = plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(one_one_int,plus_plus_int(pls,plus_plus_int(one_one_int,plus_plus_int(pls,plus_plus_int(one_one_int,plus_plus_int(pls,plus_plus_int(one_one_int,pls)))))))),m),one_one_int)
| ~ ord_less_int(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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_61,c_0_36]),c_0_37]),c_0_36]),c_0_37]),c_0_36]),c_0_36]),c_0_37]),c_0_36]),c_0_37]),c_0_36]),c_0_36]),c_0_37]),c_0_36]),c_0_37]),c_0_36]),c_0_36]),c_0_37]),c_0_36]),c_0_37]),c_0_36]),c_0_36]),c_0_36]),c_0_36]) ).
cnf(c_0_70,plain,
( ~ ord_less_int(pls,X1)
| ~ ord_less_int(X1,one_one_int) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_71,plain,
ord_less_int(pls,t),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_72,hypothesis,
( X1 = one_one_int
| ord_less_int(one_one_int,X1)
| ord_less_int(X1,one_one_int)
| ~ is_int(X1) ),
inference(spm,[status(thm)],[c_0_66,c_0_40]) ).
cnf(c_0_73,plain,
is_int(t),
inference(split_conjunct,[status(thm)],[gsy_v_t____]) ).
cnf(c_0_74,plain,
t != one_one_int,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_67,c_0_58]),c_0_58]),c_0_58]),c_0_38]),c_0_48]),c_0_48]),c_0_38]),c_0_48]),c_0_48]),c_0_38]),c_0_48]),c_0_59]),c_0_60]),c_0_38]),c_0_68]) ).
cnf(c_0_75,plain,
~ ord_less_int(one_one_int,t),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_58]),c_0_58]),c_0_58]),c_0_38]),c_0_48]),c_0_48]),c_0_38]),c_0_48]),c_0_48]),c_0_38]),c_0_48]),c_0_59]),c_0_60]),c_0_38]),c_0_68]) ).
cnf(c_0_76,plain,
~ ord_less_int(t,one_one_int),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_77,hypothesis,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_74]),c_0_75]),c_0_76]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM926+2 : TPTP v8.1.0. Released v5.3.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.12/0.34 % Computer : n013.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jul 5 10:03:44 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.28/1.46 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.28/1.46 # Preprocessing time : 0.097 s
% 0.28/1.46
% 0.28/1.46 # Proof found!
% 0.28/1.46 # SZS status Theorem
% 0.28/1.46 # SZS output start CNFRefutation
% See solution above
% 0.28/1.46 # Proof object total steps : 78
% 0.28/1.46 # Proof object clause steps : 43
% 0.28/1.46 # Proof object formula steps : 35
% 0.28/1.46 # Proof object conjectures : 7
% 0.28/1.46 # Proof object clause conjectures : 4
% 0.28/1.46 # Proof object formula conjectures : 3
% 0.28/1.46 # Proof object initial clauses used : 20
% 0.28/1.46 # Proof object initial formulas used : 20
% 0.28/1.46 # Proof object generating inferences : 6
% 0.28/1.46 # Proof object simplifying inferences : 166
% 0.28/1.46 # Training examples: 0 positive, 0 negative
% 0.28/1.46 # Parsed axioms : 717
% 0.28/1.46 # Removed by relevancy pruning/SinE : 0
% 0.28/1.46 # Initial clauses : 964
% 0.28/1.46 # Removed in clause preprocessing : 24
% 0.28/1.46 # Initial clauses in saturation : 940
% 0.28/1.46 # Processed clauses : 7713
% 0.28/1.46 # ...of these trivial : 255
% 0.28/1.46 # ...subsumed : 5153
% 0.28/1.46 # ...remaining for further processing : 2305
% 0.28/1.46 # Other redundant clauses eliminated : 57
% 0.28/1.46 # Clauses deleted for lack of memory : 0
% 0.28/1.46 # Backward-subsumed : 28
% 0.28/1.46 # Backward-rewritten : 274
% 0.28/1.46 # Generated clauses : 72873
% 0.28/1.46 # ...of the previous two non-trivial : 65423
% 0.28/1.46 # Contextual simplify-reflections : 320
% 0.28/1.46 # Paramodulations : 72762
% 0.28/1.46 # Factorizations : 8
% 0.28/1.46 # Equation resolutions : 103
% 0.28/1.46 # Current number of processed clauses : 1986
% 0.28/1.46 # Positive orientable unit clauses : 212
% 0.28/1.46 # Positive unorientable unit clauses: 56
% 0.28/1.46 # Negative unit clauses : 188
% 0.28/1.46 # Non-unit-clauses : 1530
% 0.28/1.46 # Current number of unprocessed clauses: 52141
% 0.28/1.46 # ...number of literals in the above : 164355
% 0.28/1.46 # Current number of archived formulas : 0
% 0.28/1.46 # Current number of archived clauses : 304
% 0.28/1.46 # Clause-clause subsumption calls (NU) : 500621
% 0.28/1.46 # Rec. Clause-clause subsumption calls : 259983
% 0.28/1.46 # Non-unit clause-clause subsumptions : 2604
% 0.28/1.46 # Unit Clause-clause subsumption calls : 18040
% 0.28/1.46 # Rewrite failures with RHS unbound : 0
% 0.28/1.46 # BW rewrite match attempts : 1170
% 0.28/1.46 # BW rewrite match successes : 508
% 0.28/1.46 # Condensation attempts : 0
% 0.28/1.46 # Condensation successes : 0
% 0.28/1.46 # Termbank termtop insertions : 1151221
% 0.28/1.46
% 0.28/1.46 # -------------------------------------------------
% 0.28/1.46 # User time : 0.960 s
% 0.28/1.46 # System time : 0.025 s
% 0.28/1.46 # Total time : 0.985 s
% 0.28/1.46 # Maximum resident set size: 53200 pages
% 0.28/23.45 eprover: CPU time limit exceeded, terminating
% 0.28/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.47 eprover: No such file or directory
% 0.28/23.48 eprover: CPU time limit exceeded, terminating
% 0.28/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.48 eprover: No such file or directory
% 0.28/23.48 eprover: CPU time limit exceeded, terminating
% 0.28/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.49 eprover: No such file or directory
% 0.28/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.49 eprover: No such file or directory
% 0.28/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.49 eprover: No such file or directory
% 0.28/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.50 eprover: No such file or directory
% 0.28/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.28/23.50 eprover: No such file or directory
% 0.28/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.50 eprover: No such file or directory
% 0.28/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.50 eprover: No such file or directory
% 0.28/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.28/23.50 eprover: No such file or directory
% 0.28/23.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.51 eprover: No such file or directory
% 0.28/23.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.51 eprover: No such file or directory
% 0.28/23.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.28/23.51 eprover: No such file or directory
% 0.28/23.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.51 eprover: No such file or directory
% 0.28/23.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.51 eprover: No such file or directory
% 0.28/23.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.28/23.51 eprover: No such file or directory
% 0.28/23.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.51 eprover: No such file or directory
% 0.28/23.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.52 eprover: No such file or directory
% 0.28/23.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.52 eprover: No such file or directory
% 0.28/23.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.28/23.52 eprover: No such file or directory
% 0.28/23.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.52 eprover: No such file or directory
% 0.28/23.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.52 eprover: No such file or directory
% 0.28/23.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.28/23.52 eprover: No such file or directory
% 0.28/23.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.53 eprover: No such file or directory
% 0.28/23.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.53 eprover: No such file or directory
% 0.28/23.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.28/23.53 eprover: No such file or directory
% 0.28/23.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.53 eprover: No such file or directory
% 0.28/23.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.28/23.53 eprover: No such file or directory
% 0.28/23.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.54 eprover: No such file or directory
% 0.28/23.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.28/23.54 eprover: No such file or directory
% 0.28/23.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.54 eprover: No such file or directory
% 0.28/23.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.28/23.54 eprover: No such file or directory
% 0.28/23.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.28/23.55 eprover: No such file or directory
%------------------------------------------------------------------------------