TSTP Solution File: NUM926_3 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : NUM926_3 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n024.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 : 300s
% DateTime : Thu Aug 31 11:33:47 EDT 2023
% Result : Theorem 17.51s 3.26s
% Output : CNFRefutation 17.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 43 ( 20 unt; 0 typ; 0 def)
% Number of atoms : 838 ( 47 equ)
% Maximal formula atoms : 3 ( 19 avg)
% Number of connectives : 56 ( 26 ~; 22 |; 0 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 765 ( 765 fml; 0 var)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 26 ( 24 usr; 13 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 42 ( 2 sgn; 22 !; 16 ?; 38 :)
% Comments :
%------------------------------------------------------------------------------
tff(f1,axiom,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),t)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_tpos) ).
tff(f2,axiom,
( ( one_one_int = t )
=> ? [X0: int,X1: int] : ( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X0),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(X1),number_number_of_nat(bit0(bit1(pls))))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int) ) ),
file('/export/starexec/sandbox/benchmark/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) ).
tff(f3,axiom,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),t))
=> ? [X0: int,X1: int] : ( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X0),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(X1),number_number_of_nat(bit0(bit1(pls))))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int) ) ),
file('/export/starexec/sandbox/benchmark/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) ).
tff(f207,axiom,
! [X20: int] : ( bit0(X20) = hAPP_int_int(plus_plus_int(X20),X20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_206_Bit0__def) ).
tff(f254,axiom,
! [X20: int] : ( bit1(X20) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X20)),X20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_253_Bit1__def) ).
tff(f359,axiom,
pls = zero_zero_int,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_358_Pls__def) ).
tff(f571,axiom,
! [X271: int,X272: int] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X271),X272))
=> ( ( X271 != X272 )
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X271),X272)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_570_order__le__neq__implies__less) ).
tff(f1205,conjecture,
? [X0: int,X1: int] : ( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X0),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(X1),number_number_of_nat(bit0(bit1(pls))))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
tff(f1206,negated_conjecture,
~ ? [X0: int,X1: int] : ( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X0),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(X1),number_number_of_nat(bit0(bit1(pls))))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int) ),
inference(negated_conjecture,[],[f1205]) ).
tff(f1394,plain,
! [X0: int] : ( bit0(X0) = hAPP_int_int(plus_plus_int(X0),X0) ),
inference(rectify,[],[f207]) ).
tff(f1441,plain,
! [X0: int] : ( bit1(X0) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X0)),X0) ),
inference(rectify,[],[f254]) ).
tff(f1708,plain,
! [X0: int,X1: int] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X0),X1))
=> ( ( X0 != X1 )
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X0),X1)) ) ),
inference(rectify,[],[f571]) ).
tff(f2327,plain,
( ? [X0: int,X1: int] : ( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X0),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(X1),number_number_of_nat(bit0(bit1(pls))))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int) )
| ( one_one_int != t ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2328,plain,
( ? [X0: int,X1: int] : ( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X0),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(X1),number_number_of_nat(bit0(bit1(pls))))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int) )
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),t)) ),
inference(ennf_transformation,[],[f3]) ).
tff(f2556,plain,
! [X0: int,X1: int] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X0),X1))
| ( X0 = X1 )
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X0),X1)) ),
inference(ennf_transformation,[],[f1708]) ).
tff(f2557,plain,
! [X0: int,X1: int] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X0),X1))
| ( X0 = X1 )
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X0),X1)) ),
inference(flattening,[],[f2556]) ).
tff(f3200,plain,
! [X0: int,X1: int] : ( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X0),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(X1),number_number_of_nat(bit0(bit1(pls))))) != hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int) ),
inference(ennf_transformation,[],[f1206]) ).
tff(f3210,plain,
( ? [X0: int,X1: int] : ( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X0),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(X1),number_number_of_nat(bit0(bit1(pls))))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int) )
=> ( hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int) = hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(sK5),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(sK6),number_number_of_nat(bit0(bit1(pls))))) ) ),
introduced(choice_axiom,[]) ).
tff(f3211,plain,
( ( hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int) = hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(sK5),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(sK6),number_number_of_nat(bit0(bit1(pls))))) )
| ( one_one_int != t ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f2327,f3210]) ).
tff(f3212,plain,
( ? [X0: int,X1: int] : ( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X0),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(X1),number_number_of_nat(bit0(bit1(pls))))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int) )
=> ( hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int) = hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(sK7),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(sK8),number_number_of_nat(bit0(bit1(pls))))) ) ),
introduced(choice_axiom,[]) ).
tff(f3213,plain,
( ( hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int) = hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(sK7),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(sK8),number_number_of_nat(bit0(bit1(pls))))) )
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),t)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8])],[f2328,f3212]) ).
tff(f3637,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),t)),
inference(cnf_transformation,[],[f1]) ).
tff(f3638,plain,
( ( hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int) = hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(sK5),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(sK6),number_number_of_nat(bit0(bit1(pls))))) )
| ( one_one_int != t ) ),
inference(cnf_transformation,[],[f3211]) ).
tff(f3639,plain,
( ( hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int) = hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(sK7),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(sK8),number_number_of_nat(bit0(bit1(pls))))) )
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),t)) ),
inference(cnf_transformation,[],[f3213]) ).
tff(f3914,plain,
! [X0: int] : ( bit0(X0) = hAPP_int_int(plus_plus_int(X0),X0) ),
inference(cnf_transformation,[],[f1394]) ).
tff(f3961,plain,
! [X0: int] : ( bit1(X0) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X0)),X0) ),
inference(cnf_transformation,[],[f1441]) ).
tff(f4090,plain,
pls = zero_zero_int,
inference(cnf_transformation,[],[f359]) ).
tff(f4395,plain,
! [X0: int,X1: int] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X0),X1))
| ( X0 = X1 )
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X0),X1)) ),
inference(cnf_transformation,[],[f2557]) ).
tff(f5325,plain,
! [X0: int,X1: int] : ( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X0),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(X1),number_number_of_nat(bit0(bit1(pls))))) != hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int) ),
inference(cnf_transformation,[],[f3200]) ).
tff(f5326,plain,
( ( hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),zero_zero_int)),zero_zero_int)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),zero_zero_int)),zero_zero_int))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),zero_zero_int)),zero_zero_int)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),zero_zero_int)),zero_zero_int))))),m)),one_one_int) = hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(sK5),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),zero_zero_int)),zero_zero_int)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),zero_zero_int)),zero_zero_int))))),hAPP_nat_int(power_power_int(sK6),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),zero_zero_int)),zero_zero_int)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),zero_zero_int)),zero_zero_int))))) )
| ( one_one_int != t ) ),
inference(definition_unfolding,[],[f3638,f3914,f3914,f3961,f4090,f3914,f3961,f4090,f3914,f3961,f4090]) ).
tff(f5327,plain,
( ( hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),zero_zero_int)),zero_zero_int)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),zero_zero_int)),zero_zero_int))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),zero_zero_int)),zero_zero_int)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),zero_zero_int)),zero_zero_int))))),m)),one_one_int) = hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(sK7),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),zero_zero_int)),zero_zero_int)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),zero_zero_int)),zero_zero_int))))),hAPP_nat_int(power_power_int(sK8),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),zero_zero_int)),zero_zero_int)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),zero_zero_int)),zero_zero_int))))) )
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),t)) ),
inference(definition_unfolding,[],[f3639,f3914,f3914,f3961,f4090,f3914,f3961,f4090,f3914,f3961,f4090]) ).
tff(f5723,plain,
! [X0: int,X1: int] : ( hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),zero_zero_int)),zero_zero_int)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),zero_zero_int)),zero_zero_int))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),zero_zero_int)),zero_zero_int)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),zero_zero_int)),zero_zero_int))))),m)),one_one_int) != hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X0),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),zero_zero_int)),zero_zero_int)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),zero_zero_int)),zero_zero_int))))),hAPP_nat_int(power_power_int(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),zero_zero_int)),zero_zero_int)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),zero_zero_int)),zero_zero_int))))) ),
inference(definition_unfolding,[],[f5325,f3914,f3961,f4090,f3914,f3961,f4090,f3914,f3914,f3961,f4090]) ).
cnf(c_49,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),t)),
inference(cnf_transformation,[],[f3637]) ).
cnf(c_50,plain,
( one_one_int != t
| hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(sK5),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),zero_zero_int)),zero_zero_int)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),zero_zero_int)),zero_zero_int))))),hAPP_nat_int(power_power_int(sK6),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),zero_zero_int)),zero_zero_int)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),zero_zero_int)),zero_zero_int))))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),zero_zero_int)),zero_zero_int)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),zero_zero_int)),zero_zero_int))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),zero_zero_int)),zero_zero_int)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),zero_zero_int)),zero_zero_int))))),m)),one_one_int) ),
inference(cnf_transformation,[],[f5326]) ).
cnf(c_51,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),t))
| hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(sK7),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),zero_zero_int)),zero_zero_int)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),zero_zero_int)),zero_zero_int))))),hAPP_nat_int(power_power_int(sK8),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),zero_zero_int)),zero_zero_int)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),zero_zero_int)),zero_zero_int))))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),zero_zero_int)),zero_zero_int)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),zero_zero_int)),zero_zero_int))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),zero_zero_int)),zero_zero_int)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),zero_zero_int)),zero_zero_int))))),m)),one_one_int) ),
inference(cnf_transformation,[],[f5327]) ).
cnf(c_784,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X0_14),X1_14))
| X0_14 = X1_14
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X0_14),X1_14)) ),
inference(cnf_transformation,[],[f4395]) ).
cnf(c_1664,negated_conjecture,
hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X0_14),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),zero_zero_int)),zero_zero_int)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),zero_zero_int)),zero_zero_int))))),hAPP_nat_int(power_power_int(X1_14),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),zero_zero_int)),zero_zero_int)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),zero_zero_int)),zero_zero_int))))) != hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),zero_zero_int)),zero_zero_int)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),zero_zero_int)),zero_zero_int))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),zero_zero_int)),zero_zero_int)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),zero_zero_int)),zero_zero_int))))),m)),one_one_int),
inference(cnf_transformation,[],[f5723]) ).
cnf(c_2632,plain,
( one_one_int != t
| hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(sK5),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),zero_zero_int)),zero_zero_int)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),zero_zero_int)),zero_zero_int))))),hAPP_nat_int(power_power_int(sK6),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),zero_zero_int)),zero_zero_int)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),zero_zero_int)),zero_zero_int))))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),zero_zero_int)),zero_zero_int)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),zero_zero_int)),zero_zero_int))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),zero_zero_int)),zero_zero_int)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),zero_zero_int)),zero_zero_int))))),m)),one_one_int) ),
inference(prop_impl_just,[status(thm)],[c_50]) ).
cnf(c_2634,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),t))
| hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(sK7),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),zero_zero_int)),zero_zero_int)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),zero_zero_int)),zero_zero_int))))),hAPP_nat_int(power_power_int(sK8),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),zero_zero_int)),zero_zero_int)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),zero_zero_int)),zero_zero_int))))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),zero_zero_int)),zero_zero_int)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),zero_zero_int)),zero_zero_int))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),zero_zero_int)),zero_zero_int)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),zero_zero_int)),zero_zero_int))))),m)),one_one_int) ),
inference(prop_impl_just,[status(thm)],[c_51]) ).
cnf(c_6013,plain,
one_one_int != t,
inference(backward_subsumption_resolution,[status(thm)],[c_2632,c_1664]) ).
cnf(c_6014,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),t)),
inference(backward_subsumption_resolution,[status(thm)],[c_2634,c_1664]) ).
cnf(c_56964,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),t))
| one_one_int = t
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),t)) ),
inference(instantiation,[status(thm)],[c_784]) ).
cnf(c_56965,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_56964,c_6013,c_6014,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : NUM926_3 : TPTP v8.1.2. Released v5.3.0.
% 0.10/0.13 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n024.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Aug 25 15:01:09 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 17.51/3.26 % SZS status Started for theBenchmark.p
% 17.51/3.26 % SZS status Theorem for theBenchmark.p
% 17.51/3.26
% 17.51/3.26 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 17.51/3.26
% 17.51/3.26 ------ iProver source info
% 17.51/3.26
% 17.51/3.26 git: date: 2023-05-31 18:12:56 +0000
% 17.51/3.26 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 17.51/3.26 git: non_committed_changes: false
% 17.51/3.26 git: last_make_outside_of_git: false
% 17.51/3.26
% 17.51/3.26 ------ Parsing...
% 17.51/3.26 ------ Clausification by vclausify_rel & Parsing by iProver...------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 17.51/3.26
% 17.51/3.26
% 17.51/3.26 ------ Preprocessing... sup_sim: 367 pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 pe_s pe_e sup_sim: 0 pe_s pe_e
% 17.51/3.26
% 17.51/3.26 ------ Preprocessing...------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 17.51/3.26 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e ------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 17.51/3.26
% 17.51/3.26
% 17.51/3.26 ------ Preprocessing...
% 17.51/3.26 ------ Proving...
% 17.51/3.26 ------ Problem Properties
% 17.51/3.26
% 17.51/3.26
% 17.51/3.26 clauses 1004
% 17.51/3.26 conjectures 0
% 17.51/3.26 EPR 5
% 17.51/3.26 Horn 837
% 17.51/3.26 unary 265
% 17.51/3.26 binary 364
% 17.51/3.26 lits 2277
% 17.51/3.26 lits eq 505
% 17.51/3.26 fd_pure 0
% 17.51/3.26 fd_pseudo 0
% 17.51/3.26 fd_cond 83
% 17.51/3.26 fd_pseudo_cond 47
% 17.51/3.26 AC symbols 0
% 17.51/3.26
% 17.51/3.26 ------ Schedule dynamic 5 is on
% 17.51/3.26
% 17.51/3.26 ------ no conjectures: strip conj schedule
% 17.51/3.26
% 17.51/3.26 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 17.51/3.26
% 17.51/3.26
% 17.51/3.26 ------
% 17.51/3.26 Current options:
% 17.51/3.26 ------
% 17.51/3.26
% 17.51/3.26
% 17.51/3.26
% 17.51/3.26
% 17.51/3.26 ------ Proving...
% 17.51/3.26
% 17.51/3.26
% 17.51/3.26 % SZS status Theorem for theBenchmark.p
% 17.51/3.26
% 17.51/3.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 17.51/3.26
% 17.51/3.26
%------------------------------------------------------------------------------