TSTP Solution File: NUM926_1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : NUM926_1 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n016.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 11:33:45 EDT 2023
% Result : Theorem 2.23s 1.17s
% Output : CNFRefutation 2.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 18
% Syntax : Number of formulae : 104 ( 44 unt; 0 typ; 0 def)
% Number of atoms : 649 ( 71 equ)
% Maximal formula atoms : 4 ( 6 avg)
% Number of connectives : 134 ( 61 ~; 60 |; 3 &)
% ( 6 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 472 ( 472 fml; 0 var)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 23 ( 21 usr; 11 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 188 ( 4 sgn; 100 !; 16 ?; 116 :)
% Comments :
%------------------------------------------------------------------------------
tff(f1,axiom,
ord_less_eq_int(one_one_int,t),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_tpos) ).
tff(f2,axiom,
( ( one_one_int = t )
=> ? [X0: int,X1: int] : ( plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,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/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,
( ord_less_int(one_one_int,t)
=> ? [X0: int,X1: int] : ( plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,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/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(f30,axiom,
! [X18: int,X19: int] :
( ord_less_int(X19,X18)
| ( X18 = X19 )
| ord_less_int(X18,X19) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_29_zless__linear) ).
tff(f39,axiom,
! [X27: int,X17: int] :
( ord_less_eq_int(number_number_of_int(X27),number_number_of_int(X17))
<=> ~ ord_less_int(number_number_of_int(X17),number_number_of_int(X27)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_38_le__number__of__eq__not__less) ).
tff(f59,axiom,
! [X35: int,X36: int] :
( ord_less_int(number_number_of_int(X35),number_number_of_int(X36))
<=> ord_less_int(X35,X36) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_58_less__number__of__int__code) ).
tff(f60,axiom,
! [X35: int,X36: int] :
( ord_less_eq_int(number_number_of_int(X35),number_number_of_int(X36))
<=> ord_less_eq_int(X35,X36) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_59_less__eq__number__of__int__code) ).
tff(f85,axiom,
! [X54: int,X55: int,X56: int] : ( times_times_int(times_times_int(X54,X55),X56) = times_times_int(X54,times_times_int(X55,X56)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_84_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J) ).
tff(f86,axiom,
! [X54: nat,X55: nat,X56: nat] : ( times_times_nat(times_times_nat(X54,X55),X56) = times_times_nat(X54,times_times_nat(X55,X56)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_85_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J) ).
tff(f91,axiom,
! [X63: int,X64: int] : ( times_times_int(X63,X64) = times_times_int(X64,X63) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_90_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J) ).
tff(f92,axiom,
! [X63: nat,X64: nat] : ( times_times_nat(X63,X64) = times_times_nat(X64,X63) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_91_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J) ).
tff(f97,axiom,
! [X72: int,X73: int,X74: int] : ( plus_plus_int(plus_plus_int(X72,X73),X74) = plus_plus_int(X72,plus_plus_int(X73,X74)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_96_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J) ).
tff(f98,axiom,
! [X72: nat,X73: nat,X74: nat] : ( plus_plus_nat(plus_plus_nat(X72,X73),X74) = plus_plus_nat(X72,plus_plus_nat(X73,X74)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_97_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J) ).
tff(f103,axiom,
! [X81: int,X82: int] : ( plus_plus_int(X81,X82) = plus_plus_int(X82,X81) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_102_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J) ).
tff(f104,axiom,
! [X81: nat,X82: nat] : ( plus_plus_nat(X81,X82) = plus_plus_nat(X82,X81) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_103_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J) ).
tff(f124,conjecture,
? [X0: int,X1: int] : ( plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,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/benchmark/theBenchmark.p',conj_0) ).
tff(f125,negated_conjecture,
~ ? [X0: int,X1: int] : ( plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,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(negated_conjecture,[],[f124]) ).
tff(f145,plain,
! [X0: int,X1: int] :
( ord_less_int(X1,X0)
| ( X0 = X1 )
| ord_less_int(X0,X1) ),
inference(rectify,[],[f30]) ).
tff(f154,plain,
! [X0: int,X1: int] :
( ord_less_eq_int(number_number_of_int(X0),number_number_of_int(X1))
<=> ~ ord_less_int(number_number_of_int(X1),number_number_of_int(X0)) ),
inference(rectify,[],[f39]) ).
tff(f171,plain,
! [X0: int,X1: int] :
( ord_less_int(number_number_of_int(X0),number_number_of_int(X1))
<=> ord_less_int(X0,X1) ),
inference(rectify,[],[f59]) ).
tff(f172,plain,
! [X0: int,X1: int] :
( ord_less_eq_int(number_number_of_int(X0),number_number_of_int(X1))
<=> ord_less_eq_int(X0,X1) ),
inference(rectify,[],[f60]) ).
tff(f194,plain,
! [X0: int,X1: int,X2: int] : ( times_times_int(times_times_int(X0,X1),X2) = times_times_int(X0,times_times_int(X1,X2)) ),
inference(rectify,[],[f85]) ).
tff(f195,plain,
! [X0: nat,X1: nat,X2: nat] : ( times_times_nat(times_times_nat(X0,X1),X2) = times_times_nat(X0,times_times_nat(X1,X2)) ),
inference(rectify,[],[f86]) ).
tff(f200,plain,
! [X0: int,X1: int] : ( times_times_int(X1,X0) = times_times_int(X0,X1) ),
inference(rectify,[],[f91]) ).
tff(f201,plain,
! [X0: nat,X1: nat] : ( times_times_nat(X0,X1) = times_times_nat(X1,X0) ),
inference(rectify,[],[f92]) ).
tff(f206,plain,
! [X0: int,X1: int,X2: int] : ( plus_plus_int(plus_plus_int(X0,X1),X2) = plus_plus_int(X0,plus_plus_int(X1,X2)) ),
inference(rectify,[],[f97]) ).
tff(f207,plain,
! [X0: nat,X1: nat,X2: nat] : ( plus_plus_nat(plus_plus_nat(X0,X1),X2) = plus_plus_nat(X0,plus_plus_nat(X1,X2)) ),
inference(rectify,[],[f98]) ).
tff(f212,plain,
! [X0: int,X1: int] : ( plus_plus_int(X0,X1) = plus_plus_int(X1,X0) ),
inference(rectify,[],[f103]) ).
tff(f213,plain,
! [X0: nat,X1: nat] : ( plus_plus_nat(X0,X1) = plus_plus_nat(X1,X0) ),
inference(rectify,[],[f104]) ).
tff(f235,plain,
( ? [X0: int,X1: int] : ( plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,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) )
| ( one_one_int != t ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f236,plain,
( ? [X0: int,X1: int] : ( plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,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(ennf_transformation,[],[f3]) ).
tff(f250,plain,
! [X0: int,X1: int] : ( plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,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(ennf_transformation,[],[f125]) ).
tff(f251,plain,
( ? [X0: int,X1: int] : ( plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,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) )
=> ( plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) = plus_plus_int(power_power_int(sK0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(sK1,number_number_of_nat(bit0(bit1(pls))))) ) ),
introduced(choice_axiom,[]) ).
tff(f252,plain,
( ( plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) = plus_plus_int(power_power_int(sK0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(sK1,number_number_of_nat(bit0(bit1(pls))))) )
| ( one_one_int != t ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f235,f251]) ).
tff(f253,plain,
( ? [X0: int,X1: int] : ( plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,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) )
=> ( plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) = plus_plus_int(power_power_int(sK2,number_number_of_nat(bit0(bit1(pls)))),power_power_int(sK3,number_number_of_nat(bit0(bit1(pls))))) ) ),
introduced(choice_axiom,[]) ).
tff(f254,plain,
( ( plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) = plus_plus_int(power_power_int(sK2,number_number_of_nat(bit0(bit1(pls)))),power_power_int(sK3,number_number_of_nat(bit0(bit1(pls))))) )
| ~ ord_less_int(one_one_int,t) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f236,f253]) ).
tff(f260,plain,
! [X0: int,X1: int] :
( ( ord_less_eq_int(number_number_of_int(X0),number_number_of_int(X1))
| ord_less_int(number_number_of_int(X1),number_number_of_int(X0)) )
& ( ~ ord_less_int(number_number_of_int(X1),number_number_of_int(X0))
| ~ ord_less_eq_int(number_number_of_int(X0),number_number_of_int(X1)) ) ),
inference(nnf_transformation,[],[f154]) ).
tff(f271,plain,
! [X0: int,X1: int] :
( ( ord_less_int(number_number_of_int(X0),number_number_of_int(X1))
| ~ ord_less_int(X0,X1) )
& ( ord_less_int(X0,X1)
| ~ ord_less_int(number_number_of_int(X0),number_number_of_int(X1)) ) ),
inference(nnf_transformation,[],[f171]) ).
tff(f272,plain,
! [X0: int,X1: int] :
( ( ord_less_eq_int(number_number_of_int(X0),number_number_of_int(X1))
| ~ ord_less_eq_int(X0,X1) )
& ( ord_less_eq_int(X0,X1)
| ~ ord_less_eq_int(number_number_of_int(X0),number_number_of_int(X1)) ) ),
inference(nnf_transformation,[],[f172]) ).
tff(f294,plain,
ord_less_eq_int(one_one_int,t),
inference(cnf_transformation,[],[f1]) ).
tff(f295,plain,
( ( plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) = plus_plus_int(power_power_int(sK0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(sK1,number_number_of_nat(bit0(bit1(pls))))) )
| ( one_one_int != t ) ),
inference(cnf_transformation,[],[f252]) ).
tff(f296,plain,
( ( plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) = plus_plus_int(power_power_int(sK2,number_number_of_nat(bit0(bit1(pls)))),power_power_int(sK3,number_number_of_nat(bit0(bit1(pls))))) )
| ~ ord_less_int(one_one_int,t) ),
inference(cnf_transformation,[],[f254]) ).
tff(f324,plain,
! [X0: int,X1: int] :
( ord_less_int(X1,X0)
| ( X0 = X1 )
| ord_less_int(X0,X1) ),
inference(cnf_transformation,[],[f145]) ).
tff(f334,plain,
! [X0: int,X1: int] :
( ~ ord_less_int(number_number_of_int(X1),number_number_of_int(X0))
| ~ ord_less_eq_int(number_number_of_int(X0),number_number_of_int(X1)) ),
inference(cnf_transformation,[],[f260]) ).
tff(f335,plain,
! [X0: int,X1: int] :
( ord_less_eq_int(number_number_of_int(X0),number_number_of_int(X1))
| ord_less_int(number_number_of_int(X1),number_number_of_int(X0)) ),
inference(cnf_transformation,[],[f260]) ).
tff(f365,plain,
! [X0: int,X1: int] :
( ord_less_int(X0,X1)
| ~ ord_less_int(number_number_of_int(X0),number_number_of_int(X1)) ),
inference(cnf_transformation,[],[f271]) ).
tff(f366,plain,
! [X0: int,X1: int] :
( ord_less_int(number_number_of_int(X0),number_number_of_int(X1))
| ~ ord_less_int(X0,X1) ),
inference(cnf_transformation,[],[f271]) ).
tff(f367,plain,
! [X0: int,X1: int] :
( ord_less_eq_int(X0,X1)
| ~ ord_less_eq_int(number_number_of_int(X0),number_number_of_int(X1)) ),
inference(cnf_transformation,[],[f272]) ).
tff(f368,plain,
! [X0: int,X1: int] :
( ord_less_eq_int(number_number_of_int(X0),number_number_of_int(X1))
| ~ ord_less_eq_int(X0,X1) ),
inference(cnf_transformation,[],[f272]) ).
tff(f402,plain,
! [X2: int,X0: int,X1: int] : ( times_times_int(times_times_int(X0,X1),X2) = times_times_int(X0,times_times_int(X1,X2)) ),
inference(cnf_transformation,[],[f194]) ).
tff(f403,plain,
! [X2: nat,X0: nat,X1: nat] : ( times_times_nat(times_times_nat(X0,X1),X2) = times_times_nat(X0,times_times_nat(X1,X2)) ),
inference(cnf_transformation,[],[f195]) ).
tff(f408,plain,
! [X0: int,X1: int] : ( times_times_int(X1,X0) = times_times_int(X0,X1) ),
inference(cnf_transformation,[],[f200]) ).
tff(f409,plain,
! [X0: nat,X1: nat] : ( times_times_nat(X0,X1) = times_times_nat(X1,X0) ),
inference(cnf_transformation,[],[f201]) ).
tff(f414,plain,
! [X2: int,X0: int,X1: int] : ( plus_plus_int(plus_plus_int(X0,X1),X2) = plus_plus_int(X0,plus_plus_int(X1,X2)) ),
inference(cnf_transformation,[],[f206]) ).
tff(f415,plain,
! [X2: nat,X0: nat,X1: nat] : ( plus_plus_nat(plus_plus_nat(X0,X1),X2) = plus_plus_nat(X0,plus_plus_nat(X1,X2)) ),
inference(cnf_transformation,[],[f207]) ).
tff(f420,plain,
! [X0: int,X1: int] : ( plus_plus_int(X0,X1) = plus_plus_int(X1,X0) ),
inference(cnf_transformation,[],[f212]) ).
tff(f421,plain,
! [X0: nat,X1: nat] : ( plus_plus_nat(X0,X1) = plus_plus_nat(X1,X0) ),
inference(cnf_transformation,[],[f213]) ).
tff(f454,plain,
! [X0: int,X1: int] : ( plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,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(cnf_transformation,[],[f250]) ).
cnf(c_49,plain,
ord_less_eq_int(one_one_int,t),
inference(cnf_transformation,[],[f294]) ).
cnf(c_50,plain,
( one_one_int != t
| plus_plus_int(power_power_int(sK0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(sK1,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(cnf_transformation,[],[f295]) ).
cnf(c_51,plain,
( ~ ord_less_int(one_one_int,t)
| plus_plus_int(power_power_int(sK2,number_number_of_nat(bit0(bit1(pls)))),power_power_int(sK3,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(cnf_transformation,[],[f296]) ).
cnf(c_79,plain,
( X0_13 = X1_13
| ord_less_int(X0_13,X1_13)
| ord_less_int(X1_13,X0_13) ),
inference(cnf_transformation,[],[f324]) ).
cnf(c_89,plain,
( ord_less_int(number_number_of_int(X0_13),number_number_of_int(X1_13))
| ord_less_eq_int(number_number_of_int(X1_13),number_number_of_int(X0_13)) ),
inference(cnf_transformation,[],[f335]) ).
cnf(c_90,plain,
( ~ ord_less_int(number_number_of_int(X0_13),number_number_of_int(X1_13))
| ~ ord_less_eq_int(number_number_of_int(X1_13),number_number_of_int(X0_13)) ),
inference(cnf_transformation,[],[f334]) ).
cnf(c_120,plain,
( ~ ord_less_int(X0_13,X1_13)
| ord_less_int(number_number_of_int(X0_13),number_number_of_int(X1_13)) ),
inference(cnf_transformation,[],[f366]) ).
cnf(c_121,plain,
( ~ ord_less_int(number_number_of_int(X0_13),number_number_of_int(X1_13))
| ord_less_int(X0_13,X1_13) ),
inference(cnf_transformation,[],[f365]) ).
cnf(c_122,plain,
( ~ ord_less_eq_int(X0_13,X1_13)
| ord_less_eq_int(number_number_of_int(X0_13),number_number_of_int(X1_13)) ),
inference(cnf_transformation,[],[f368]) ).
cnf(c_123,plain,
( ~ ord_less_eq_int(number_number_of_int(X0_13),number_number_of_int(X1_13))
| ord_less_eq_int(X0_13,X1_13) ),
inference(cnf_transformation,[],[f367]) ).
cnf(c_157,plain,
times_times_int(times_times_int(X0_13,X1_13),X2_13) = times_times_int(X0_13,times_times_int(X1_13,X2_13)),
inference(cnf_transformation,[],[f402]) ).
cnf(c_158,plain,
times_times_nat(times_times_nat(X0_14,X1_14),X2_14) = times_times_nat(X0_14,times_times_nat(X1_14,X2_14)),
inference(cnf_transformation,[],[f403]) ).
cnf(c_163,plain,
times_times_int(X0_13,X1_13) = times_times_int(X1_13,X0_13),
inference(cnf_transformation,[],[f408]) ).
cnf(c_164,plain,
times_times_nat(X0_14,X1_14) = times_times_nat(X1_14,X0_14),
inference(cnf_transformation,[],[f409]) ).
cnf(c_169,plain,
plus_plus_int(plus_plus_int(X0_13,X1_13),X2_13) = plus_plus_int(X0_13,plus_plus_int(X1_13,X2_13)),
inference(cnf_transformation,[],[f414]) ).
cnf(c_170,plain,
plus_plus_nat(plus_plus_nat(X0_14,X1_14),X2_14) = plus_plus_nat(X0_14,plus_plus_nat(X1_14,X2_14)),
inference(cnf_transformation,[],[f415]) ).
cnf(c_175,plain,
plus_plus_int(X0_13,X1_13) = plus_plus_int(X1_13,X0_13),
inference(cnf_transformation,[],[f420]) ).
cnf(c_176,plain,
plus_plus_nat(X0_14,X1_14) = plus_plus_nat(X1_14,X0_14),
inference(cnf_transformation,[],[f421]) ).
cnf(c_202,negated_conjecture,
plus_plus_int(power_power_int(X0_13,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1_13,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(cnf_transformation,[],[f454]) ).
cnf(c_281,plain,
( one_one_int != t
| plus_plus_int(power_power_int(sK0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(sK1,number_number_of_nat(bit0(bit1(pls))))) = plus_plus_int(one_one_int,times_times_int(m,number_number_of_int(bit0(bit0(bit1(pls)))))) ),
inference(theory_normalisation,[status(thm)],[c_50,c_158,c_164,c_157,c_163,c_170,c_176,c_169,c_175]) ).
cnf(c_282,plain,
( ~ ord_less_int(one_one_int,t)
| plus_plus_int(power_power_int(sK2,number_number_of_nat(bit0(bit1(pls)))),power_power_int(sK3,number_number_of_nat(bit0(bit1(pls))))) = plus_plus_int(one_one_int,times_times_int(m,number_number_of_int(bit0(bit0(bit1(pls)))))) ),
inference(theory_normalisation,[status(thm)],[c_51,c_158,c_164,c_157,c_163,c_170,c_176,c_169,c_175]) ).
cnf(c_292,negated_conjecture,
plus_plus_int(power_power_int(X0_13,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1_13,number_number_of_nat(bit0(bit1(pls))))) != plus_plus_int(one_one_int,times_times_int(m,number_number_of_int(bit0(bit0(bit1(pls)))))),
inference(theory_normalisation,[status(thm)],[c_202,c_158,c_164,c_157,c_163,c_170,c_176,c_169,c_175]) ).
cnf(c_297,plain,
( ord_less_eq_int(X0_13,X1_13)
| ~ ord_less_eq_int(number_number_of_int(X0_13),number_number_of_int(X1_13)) ),
inference(prop_impl_just,[status(thm)],[c_123]) ).
cnf(c_298,plain,
( ~ ord_less_eq_int(number_number_of_int(X0_13),number_number_of_int(X1_13))
| ord_less_eq_int(X0_13,X1_13) ),
inference(renaming,[status(thm)],[c_297]) ).
cnf(c_299,plain,
( ~ ord_less_eq_int(X0_13,X1_13)
| ord_less_eq_int(number_number_of_int(X0_13),number_number_of_int(X1_13)) ),
inference(prop_impl_just,[status(thm)],[c_122]) ).
cnf(c_305,plain,
( ~ ord_less_int(X0_13,X1_13)
| ~ ord_less_eq_int(number_number_of_int(X1_13),number_number_of_int(X0_13)) ),
inference(prop_impl_just,[status(thm)],[c_120,c_90]) ).
cnf(c_306,plain,
( ~ ord_less_eq_int(number_number_of_int(X0_13),number_number_of_int(X1_13))
| ~ ord_less_int(X1_13,X0_13) ),
inference(renaming,[status(thm)],[c_305]) ).
cnf(c_307,plain,
( ord_less_int(X0_13,X1_13)
| ord_less_eq_int(number_number_of_int(X1_13),number_number_of_int(X0_13)) ),
inference(prop_impl_just,[status(thm)],[c_121,c_89]) ).
cnf(c_308,plain,
( ord_less_eq_int(number_number_of_int(X0_13),number_number_of_int(X1_13))
| ord_less_int(X1_13,X0_13) ),
inference(renaming,[status(thm)],[c_307]) ).
cnf(c_373,plain,
( one_one_int != t
| plus_plus_int(power_power_int(sK0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(sK1,number_number_of_nat(bit0(bit1(pls))))) = plus_plus_int(one_one_int,times_times_int(m,number_number_of_int(bit0(bit0(bit1(pls)))))) ),
inference(prop_impl_just,[status(thm)],[c_281]) ).
cnf(c_375,plain,
( ~ ord_less_int(one_one_int,t)
| plus_plus_int(power_power_int(sK2,number_number_of_nat(bit0(bit1(pls)))),power_power_int(sK3,number_number_of_nat(bit0(bit1(pls))))) = plus_plus_int(one_one_int,times_times_int(m,number_number_of_int(bit0(bit0(bit1(pls)))))) ),
inference(prop_impl_just,[status(thm)],[c_282]) ).
cnf(c_572,plain,
( ~ ord_less_int(X0_13,X1_13)
| ~ ord_less_eq_int(X1_13,X0_13) ),
inference(bin_hyper_res,[status(thm)],[c_306,c_299]) ).
cnf(c_573,plain,
( ord_less_int(X0_13,X1_13)
| ord_less_eq_int(X1_13,X0_13) ),
inference(bin_hyper_res,[status(thm)],[c_308,c_298]) ).
cnf(c_653,plain,
~ ord_less_int(one_one_int,t),
inference(backward_subsumption_resolution,[status(thm)],[c_375,c_292]) ).
cnf(c_654,plain,
one_one_int != t,
inference(backward_subsumption_resolution,[status(thm)],[c_373,c_292]) ).
cnf(c_1212,plain,
( ~ ord_less_eq_int(X1_13,X0_13)
| ~ ord_less_int(X0_13,X1_13) ),
inference(prop_impl_just,[status(thm)],[c_572]) ).
cnf(c_1213,plain,
( ~ ord_less_int(X0_13,X1_13)
| ~ ord_less_eq_int(X1_13,X0_13) ),
inference(renaming,[status(thm)],[c_1212]) ).
cnf(c_1452,plain,
( ~ ord_less_eq_int(X0_13,X1_13)
| X1_13 = X0_13
| ord_less_int(X0_13,X1_13) ),
inference(bin_hyper_res,[status(thm)],[c_79,c_1213]) ).
cnf(c_1993,plain,
( ~ ord_less_eq_int(X1_13,X0_13)
| ~ ord_less_int(X0_13,X1_13) ),
inference(prop_impl_just,[status(thm)],[c_572]) ).
cnf(c_1994,plain,
( ~ ord_less_int(X0_13,X1_13)
| ~ ord_less_eq_int(X1_13,X0_13) ),
inference(renaming,[status(thm)],[c_1993]) ).
cnf(c_2232,plain,
( ~ ord_less_eq_int(X0_13,X1_13)
| ~ ord_less_eq_int(X1_13,X0_13)
| X1_13 = X0_13 ),
inference(bin_hyper_res,[status(thm)],[c_1452,c_1994]) ).
cnf(c_2757,plain,
( ord_less_eq_int(X1_13,X0_13)
| ord_less_int(X0_13,X1_13) ),
inference(prop_impl_just,[status(thm)],[c_573]) ).
cnf(c_2758,plain,
( ord_less_int(X0_13,X1_13)
| ord_less_eq_int(X1_13,X0_13) ),
inference(renaming,[status(thm)],[c_2757]) ).
cnf(c_5345,plain,
( ~ ord_less_eq_int(one_one_int,t)
| ~ ord_less_eq_int(t,one_one_int)
| one_one_int = t ),
inference(instantiation,[status(thm)],[c_2232]) ).
cnf(c_5638,plain,
( ord_less_int(one_one_int,t)
| ord_less_eq_int(t,one_one_int) ),
inference(instantiation,[status(thm)],[c_2758]) ).
cnf(c_5639,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_5638,c_5345,c_653,c_654,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM926_1 : TPTP v8.1.2. Released v5.3.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n016.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 09:54:40 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.23/1.17 % SZS status Started for theBenchmark.p
% 2.23/1.17 % SZS status Theorem for theBenchmark.p
% 2.23/1.17
% 2.23/1.17 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.23/1.17
% 2.23/1.17 ------ iProver source info
% 2.23/1.17
% 2.23/1.17 git: date: 2023-05-31 18:12:56 +0000
% 2.23/1.17 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.23/1.17 git: non_committed_changes: false
% 2.23/1.17 git: last_make_outside_of_git: false
% 2.23/1.17
% 2.23/1.17 ------ Parsing...
% 2.23/1.17 ------ Clausification by vclausify_rel & Parsing by iProver...------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 2.23/1.17
% 2.23/1.17
% 2.23/1.17 ------ Preprocessing... sup_sim: 30 pe_s pe_e sup_sim: 0 pe_s pe_e sup_sim: 0 pe_s pe_e sup_sim: 0 pe_s pe_e
% 2.23/1.17
% 2.23/1.17 ------ Preprocessing...------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 2.23/1.17 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
% 2.23/1.17
% 2.23/1.17
% 2.23/1.17 ------ Preprocessing...
% 2.23/1.17 ------ Proving...
% 2.23/1.17 ------ Problem Properties
% 2.23/1.17
% 2.23/1.17
% 2.23/1.17 clauses 89
% 2.23/1.17 conjectures 0
% 2.23/1.17 EPR 10
% 2.23/1.17 Horn 77
% 2.23/1.17 unary 41
% 2.23/1.17 binary 42
% 2.23/1.17 lits 143
% 2.23/1.17 lits eq 43
% 2.23/1.17 fd_pure 0
% 2.23/1.17 fd_pseudo 0
% 2.23/1.17 fd_cond 0
% 2.23/1.17 fd_pseudo_cond 3
% 2.23/1.17 AC symbols 4
% 2.23/1.17
% 2.23/1.17 ------ Schedule dynamic 5 is on
% 2.23/1.17
% 2.23/1.17 ------ no conjectures: strip conj schedule
% 2.23/1.17
% 2.23/1.17 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 2.23/1.17
% 2.23/1.17
% 2.23/1.17 ------
% 2.23/1.17 Current options:
% 2.23/1.17 ------
% 2.23/1.17
% 2.23/1.17
% 2.23/1.17
% 2.23/1.17
% 2.23/1.17 ------ Proving...
% 2.23/1.17
% 2.23/1.17
% 2.23/1.17 % SZS status Theorem for theBenchmark.p
% 2.23/1.17
% 2.23/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.23/1.17
% 2.23/1.17
%------------------------------------------------------------------------------