TSTP Solution File: NUM924+3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM924+3 : TPTP v8.2.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n017.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 May 21 02:14:25 EDT 2024
% Result : Theorem 1.56s 0.66s
% Output : Refutation 1.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 29 ( 29 unt; 0 def)
% Number of atoms : 29 ( 16 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 13 ( 4 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 8 con; 0-2 aty)
% Number of variables : 3 ( 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8484,plain,
$false,
inference(resolution,[],[f5885,f5856]) ).
fof(f5856,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int))),zero_zero_int)),
inference(backward_demodulation,[],[f5817,f5854]) ).
fof(f5854,plain,
twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int)) = hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat))),one_one_int),
inference(forward_demodulation,[],[f5853,f5816]) ).
fof(f5816,plain,
hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat) = number_number_of_nat(bit0(bit1(zero_zero_int))),
inference(forward_demodulation,[],[f3884,f3823]) ).
fof(f3823,plain,
zero_zero_int = pls,
inference(cnf_transformation,[],[f198]) ).
fof(f198,axiom,
zero_zero_int = pls,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_172_Pls__def) ).
fof(f3884,plain,
number_number_of_nat(bit0(bit1(pls))) = hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat),
inference(cnf_transformation,[],[f113]) ).
fof(f113,axiom,
number_number_of_nat(bit0(bit1(pls))) = hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_87_nat__1__add__1) ).
fof(f5853,plain,
twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int)) = hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(zero_zero_int))))),one_one_int),
inference(forward_demodulation,[],[f5852,f5844]) ).
fof(f5844,plain,
twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int)) = hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(zero_zero_int))))),m)),one_one_int)),t),
inference(forward_demodulation,[],[f3902,f3823]) ).
fof(f3902,plain,
hAPP_int_int(times_times_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)),t) = twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int)),
inference(cnf_transformation,[],[f1094]) ).
fof(f1094,axiom,
hAPP_int_int(times_times_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)),t) = twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1068__096sum2sq_A_Is_M_A1_J_A_061_A_I4_A_K_Am_A_L_A1_J_A_K_At_096) ).
fof(f5852,plain,
hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(zero_zero_int))))),one_one_int) = hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(zero_zero_int))))),m)),one_one_int)),t),
inference(forward_demodulation,[],[f3906,f3823]) ).
fof(f3906,plain,
hAPP_int_int(times_times_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)),t) = hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int),
inference(cnf_transformation,[],[f29]) ).
fof(f29,axiom,
hAPP_int_int(times_times_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)),t) = hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_t) ).
fof(f5817,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat))),one_one_int)),zero_zero_int)),
inference(backward_demodulation,[],[f5773,f5816]) ).
fof(f5773,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(zero_zero_int))))),one_one_int)),zero_zero_int)),
inference(forward_demodulation,[],[f3799,f3823]) ).
fof(f3799,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)),zero_zero_int)),
inference(cnf_transformation,[],[f1232]) ).
fof(f1232,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)),zero_zero_int)),
inference(flattening,[],[f1231]) ).
fof(f1231,negated_conjecture,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)),zero_zero_int)),
inference(negated_conjecture,[],[f1230]) ).
fof(f1230,conjecture,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)),zero_zero_int)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f5885,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int))),zero_zero_int)),
inference(backward_demodulation,[],[f5866,f3960]) ).
fof(f3960,plain,
! [X0] : zero_zero_int = hAPP_int_int(times_times_int(X0),zero_zero_int),
inference(cnf_transformation,[],[f1271]) ).
fof(f1271,plain,
! [X0] : zero_zero_int = hAPP_int_int(times_times_int(X0),zero_zero_int),
inference(rectify,[],[f393]) ).
fof(f393,axiom,
! [X158] : zero_zero_int = hAPP_int_int(times_times_int(X158),zero_zero_int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_367_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J) ).
fof(f5866,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int))),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(zero_zero_int))))),m)),one_one_int)),zero_zero_int))),
inference(forward_demodulation,[],[f5865,f5844]) ).
fof(f5865,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(zero_zero_int))))),m)),one_one_int)),t)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(zero_zero_int))))),m)),one_one_int)),zero_zero_int))),
inference(forward_demodulation,[],[f3910,f3823]) ).
fof(f3910,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_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)),t)),hAPP_int_int(times_times_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)),zero_zero_int))),
inference(cnf_transformation,[],[f28]) ).
fof(f28,axiom,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_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)),t)),hAPP_int_int(times_times_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)),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
% 0.12/0.13 % Problem : NUM924+3 : TPTP v8.2.0. Released v5.3.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n017.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 May 20 04:45:23 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (17912)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.46 % (17916)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.47 % (17921)WARNING: value z3 for option sas not known
% 0.22/0.47 % (17926)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)
% 0.22/0.47 % (17918)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.47 % (17923)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.47 % (17921)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)
% 0.22/0.48 % (17928)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)
% 0.22/0.48 % (17927)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)
% 1.56/0.66 % (17927)First to succeed.
% 1.56/0.66 % (17927)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-17912"
% 1.56/0.66 % (17927)Refutation found. Thanks to Tanya!
% 1.56/0.66 % SZS status Theorem for theBenchmark
% 1.56/0.66 % SZS output start Proof for theBenchmark
% See solution above
% 1.56/0.66 % (17927)------------------------------
% 1.56/0.66 % (17927)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.56/0.66 % (17927)Termination reason: Refutation
% 1.56/0.66
% 1.56/0.66 % (17927)Memory used [KB]: 6118
% 1.56/0.66 % (17927)Time elapsed: 0.196 s
% 1.56/0.66 % (17927)Instructions burned: 411 (million)
% 1.56/0.66 % (17912)Success in time 0.285 s
%------------------------------------------------------------------------------