TSTP Solution File: NUM924+4 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM924+4 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n021.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 : Tue Apr 30 14:38:34 EDT 2024
% Result : Theorem 13.19s 2.50s
% Output : Refutation 13.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 15
% Syntax : Number of formulae : 67 ( 63 unt; 0 def)
% Number of atoms : 71 ( 46 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 14 ( 10 ~; 2 |; 0 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 1 avg)
% Maximal term depth : 13 ( 3 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 36 ( 36 usr; 23 con; 0-2 aty)
% Number of variables : 18 ( 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f68025,plain,
$false,
inference(resolution,[],[f67814,f67813]) ).
fof(f67813,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,quotient_of(hAPP_int_rat(number_number_of_rat,s)))),zero_zero_int)),
inference(backward_demodulation,[],[f30093,f67811]) ).
fof(f67811,plain,
hAPP_int_int(succ,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,s),s)) = hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,quotient_of(hAPP_int_rat(number_number_of_rat,s))),
inference(backward_demodulation,[],[f30090,f67779]) ).
fof(f67779,plain,
hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int) = quotient_of(hAPP_int_rat(number_number_of_rat,s)),
inference(superposition,[],[f17979,f30021]) ).
fof(f30021,plain,
s = hAPP_int_int(number_number_of_int,s),
inference(resolution,[],[f18345,f17043]) ).
fof(f17043,plain,
is_int(s),
inference(cnf_transformation,[],[f58]) ).
fof(f58,axiom,
is_int(s),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_v_s____) ).
fof(f18345,plain,
! [X0] :
( ~ is_int(X0)
| hAPP_int_int(number_number_of_int,X0) = X0 ),
inference(cnf_transformation,[],[f10626]) ).
fof(f10626,plain,
! [X0] :
( hAPP_int_int(number_number_of_int,X0) = X0
| ~ is_int(X0) ),
inference(ennf_transformation,[],[f6360]) ).
fof(f6360,plain,
! [X0] :
( is_int(X0)
=> hAPP_int_int(number_number_of_int,X0) = X0 ),
inference(rectify,[],[f113]) ).
fof(f113,axiom,
! [X13] :
( is_int(X13)
=> hAPP_int_int(number_number_of_int,X13) = X13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_53_number__of__is__id) ).
fof(f17979,plain,
! [X0] : hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,hAPP_int_int(number_number_of_int,X0)),one_one_int) = quotient_of(hAPP_int_rat(number_number_of_rat,X0)),
inference(cnf_transformation,[],[f6043]) ).
fof(f6043,plain,
! [X0] : hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,hAPP_int_int(number_number_of_int,X0)),one_one_int) = quotient_of(hAPP_int_rat(number_number_of_rat,X0)),
inference(rectify,[],[f4724]) ).
fof(f4724,axiom,
! [X13] : hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,hAPP_int_int(number_number_of_int,X13)),one_one_int) = quotient_of(hAPP_int_rat(number_number_of_rat,X13)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4664_quotient__of__number_I3_J) ).
fof(f30090,plain,
hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int)) = hAPP_int_int(succ,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,s),s)),
inference(forward_demodulation,[],[f30089,f17846]) ).
fof(f17846,plain,
! [X0] : hAPP_int_int(succ,X0) = hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X0),min),
inference(cnf_transformation,[],[f5910]) ).
fof(f5910,plain,
! [X0] : hAPP_int_int(succ,X0) = hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X0),min),
inference(rectify,[],[f3356]) ).
fof(f3356,axiom,
! [X13] : hAPP_int_int(succ,X13) = hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X13),min),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3296_diff__bin__simps_I2_J) ).
fof(f30089,plain,
hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int)) = hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,s),s)),min),
inference(forward_demodulation,[],[f30072,f26004]) ).
fof(f26004,plain,
! [X0] : hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X0),X0) = hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X0),hAPP_nat_nat(suc,one_one_nat)),
inference(forward_demodulation,[],[f26003,f25664]) ).
fof(f25664,plain,
hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,zero_zero_int))) = hAPP_nat_nat(suc,one_one_nat),
inference(forward_demodulation,[],[f25663,f17085]) ).
fof(f17085,plain,
zero_zero_int = pls,
inference(cnf_transformation,[],[f316]) ).
fof(f316,axiom,
zero_zero_int = pls,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_256_Pls__def) ).
fof(f25663,plain,
hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))) = hAPP_nat_nat(suc,one_one_nat),
inference(forward_demodulation,[],[f17324,f17134]) ).
fof(f17134,plain,
one_one_nat = hAPP_nat_nat(suc,zero_zero_nat),
inference(cnf_transformation,[],[f3117]) ).
fof(f3117,axiom,
one_one_nat = hAPP_nat_nat(suc,zero_zero_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3057_One__nat__def) ).
fof(f17324,plain,
hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))) = hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat)),
inference(cnf_transformation,[],[f3255]) ).
fof(f3255,axiom,
hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))) = hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3195_numeral__2__eq__2) ).
fof(f26003,plain,
! [X0] : hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X0),X0) = hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X0),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,zero_zero_int)))),
inference(forward_demodulation,[],[f18071,f17085]) ).
fof(f18071,plain,
! [X0] : hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X0),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X0),X0),
inference(cnf_transformation,[],[f6135]) ).
fof(f6135,plain,
! [X0] : hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X0),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X0),X0),
inference(rectify,[],[f494]) ).
fof(f494,axiom,
! [X96] : hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X96),X96) = hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X96),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_434_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J) ).
fof(f30072,plain,
hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int)) = hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_nat_nat(suc,one_one_nat))),min),
inference(backward_demodulation,[],[f25798,f30012]) ).
fof(f30012,plain,
min = hAPP_int_int(number_number_of_int,min),
inference(resolution,[],[f18345,f17056]) ).
fof(f17056,plain,
is_int(min),
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
is_int(min),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_Int_OMin) ).
fof(f25798,plain,
hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int)) = hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_nat_nat(suc,one_one_nat))),hAPP_int_int(number_number_of_int,min)),
inference(backward_demodulation,[],[f25773,f25796]) ).
fof(f25796,plain,
hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int)) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_nat_nat(suc,one_one_nat))),one_one_int),
inference(forward_demodulation,[],[f25795,f25664]) ).
fof(f25795,plain,
hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int)) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,zero_zero_int))))),one_one_int),
inference(forward_demodulation,[],[f25794,f25768]) ).
fof(f25768,plain,
hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int)) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,zero_zero_int))))),m)),one_one_int)),t),
inference(forward_demodulation,[],[f17371,f17085]) ).
fof(f17371,plain,
hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t) = hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int)),
inference(cnf_transformation,[],[f1896]) ).
fof(f1896,axiom,
hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t) = hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1836__096sum2sq_A_Is_M_A1_J_A_061_A_I4_A_K_Am_A_L_A1_J_A_K_At_096) ).
fof(f25794,plain,
hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,zero_zero_int))))),one_one_int) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,zero_zero_int))))),m)),one_one_int)),t),
inference(forward_demodulation,[],[f17383,f17085]) ).
fof(f17383,plain,
hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int),
inference(cnf_transformation,[],[f63]) ).
fof(f63,axiom,
hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_t) ).
fof(f25773,plain,
hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_nat_nat(suc,one_one_nat))),one_one_int) = hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_nat_nat(suc,one_one_nat))),hAPP_int_int(number_number_of_int,min)),
inference(forward_demodulation,[],[f25772,f25664]) ).
fof(f25772,plain,
hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,zero_zero_int))))),one_one_int) = hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,zero_zero_int))))),hAPP_int_int(number_number_of_int,min)),
inference(forward_demodulation,[],[f17374,f17085]) ).
fof(f17374,plain,
hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int) = hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_int_int(number_number_of_int,min)),
inference(cnf_transformation,[],[f1562]) ).
fof(f1562,axiom,
hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int) = hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_int_int(number_number_of_int,min)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1502__096s_A_094_A2_A_N_A_N1_A_061_As_A_094_A2_A_L_A1_096) ).
fof(f30093,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(succ,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,s),s))),zero_zero_int)),
inference(backward_demodulation,[],[f25799,f30090]) ).
fof(f25799,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))),zero_zero_int)),
inference(backward_demodulation,[],[f25665,f25796]) ).
fof(f25665,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_nat_nat(suc,one_one_nat))),one_one_int)),zero_zero_int)),
inference(backward_demodulation,[],[f25547,f25664]) ).
fof(f25547,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,zero_zero_int))))),one_one_int)),zero_zero_int)),
inference(forward_demodulation,[],[f17042,f17085]) ).
fof(f17042,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int)),zero_zero_int)),
inference(cnf_transformation,[],[f5482]) ).
fof(f5482,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int)),zero_zero_int)),
inference(flattening,[],[f5481]) ).
fof(f5481,negated_conjecture,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int)),zero_zero_int)),
inference(negated_conjecture,[],[f5480]) ).
fof(f5480,conjecture,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int)),zero_zero_int)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f67814,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,quotient_of(hAPP_int_rat(number_number_of_rat,s)))),zero_zero_int)),
inference(backward_demodulation,[],[f30094,f67811]) ).
fof(f30094,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(succ,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,s),s))),zero_zero_int)),
inference(backward_demodulation,[],[f25841,f30090]) ).
fof(f25841,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))),zero_zero_int)),
inference(backward_demodulation,[],[f25806,f17616]) ).
fof(f17616,plain,
! [X0] : zero_zero_int = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X0),zero_zero_int),
inference(cnf_transformation,[],[f5680]) ).
fof(f5680,plain,
! [X0] : zero_zero_int = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X0),zero_zero_int),
inference(rectify,[],[f650]) ).
fof(f650,axiom,
! [X159] : zero_zero_int = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X159),zero_zero_int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_590_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J) ).
fof(f25806,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,zero_zero_int))))),m)),one_one_int)),zero_zero_int))),
inference(forward_demodulation,[],[f25805,f25768]) ).
fof(f25805,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,zero_zero_int))))),m)),one_one_int)),t)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,zero_zero_int))))),m)),one_one_int)),zero_zero_int))),
inference(forward_demodulation,[],[f17386,f17085]) ).
fof(f17386,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),zero_zero_int))),
inference(cnf_transformation,[],[f62]) ).
fof(f62,axiom,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(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) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM924+4 : TPTP v8.1.2. Released v5.3.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n021.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon Apr 29 23:24:40 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.37 % (9050)Running in auto input_syntax mode. Trying TPTP
% 0.48/0.69 % (9059)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.48/0.70 % (9056)WARNING: value z3 for option sas not known
% 0.48/0.70 % (9054)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.48/0.70 % (9055)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.48/0.70 % (9056)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.48/0.70 % (9058)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.48/0.70 % (9057)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.48/0.70 % (9060)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 12.48/2.49 % (9059)First to succeed.
% 13.19/2.50 vampire: malloc.c:2617: sysmalloc: Assertion `(old_top == initial_top (av) && old_size == 0) || ((unsigned long) (old_size) >= MINSIZE && prev_inuse (old_top) && ((unsigned long) old_end & (pagesize - 1)) == 0)' failed.
% 13.19/2.50 9056 Aborted by signal SIGABRT on /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.19/2.50 % (9056)------------------------------
% 13.19/2.50 % (9056)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 13.19/2.50 % (9056)Termination reason: Unknown
% 13.19/2.50 % (9056)Termination phase: Saturation
% 13.19/2.50
% 13.19/2.50 % (9056)Memory used [KB]: 115358
% 13.19/2.50 % (9056)Time elapsed: 1.800 s
% 13.19/2.50 % (9056)Instructions burned: 5149 (million)
% 13.19/2.50 % (9059)Refutation found. Thanks to Tanya!
% 13.19/2.50 % SZS status Theorem for theBenchmark
% 13.19/2.50 % SZS output start Proof for theBenchmark
% See solution above
% 13.19/2.50 % (9059)------------------------------
% 13.19/2.50 % (9059)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 13.19/2.50 % (9059)Termination reason: Refutation
% 13.19/2.50
% 13.19/2.50 % (9059)Memory used [KB]: 46594
% 13.19/2.50 % (9059)Time elapsed: 1.798 s
% 13.19/2.50 % (9059)Instructions burned: 5096 (million)
% 13.19/2.50 % (9059)------------------------------
% 13.19/2.50 % (9059)------------------------------
% 13.19/2.50 % (9056)------------------------------
% 13.19/2.50 % (9056)------------------------------
% 13.19/2.50 Version : Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
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% 13.19/2.50 % (9050)Success in time 2.109 s
%------------------------------------------------------------------------------