TSTP Solution File: NUM924+2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM924+2 : 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 : n008.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 : Sun May 5 08:43:14 EDT 2024
% Result : Theorem 1.55s 0.62s
% Output : Refutation 1.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of formulae : 45 ( 45 unt; 0 def)
% Number of atoms : 45 ( 29 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 7 ( 7 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-2 aty)
% Number of variables : 17 ( 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f13871,plain,
$false,
inference(resolution,[],[f4225,f4223]) ).
fof(f4223,plain,
~ ord_less_int(plus_plus_int(one_one_int,power_power_int(s,number_number_of_nat(bit0(one_one_int)))),pls),
inference(forward_demodulation,[],[f4160,f2321]) ).
fof(f2321,plain,
! [X0,X1] : plus_plus_int(X0,X1) = plus_plus_int(X1,X0),
inference(cnf_transformation,[],[f911]) ).
fof(f911,plain,
! [X0,X1] : plus_plus_int(X0,X1) = plus_plus_int(X1,X0),
inference(rectify,[],[f346]) ).
fof(f346,axiom,
! [X131,X132] : plus_plus_int(X131,X132) = plus_plus_int(X132,X131),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_328_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J) ).
fof(f4160,plain,
~ ord_less_int(plus_plus_int(power_power_int(s,number_number_of_nat(bit0(one_one_int))),one_one_int),pls),
inference(backward_demodulation,[],[f3083,f4118]) ).
fof(f4118,plain,
plus_plus_nat(one_one_nat,one_one_nat) = number_number_of_nat(bit0(one_one_int)),
inference(backward_demodulation,[],[f2036,f4113]) ).
fof(f4113,plain,
one_one_int = bit1(pls),
inference(forward_demodulation,[],[f4109,f3065]) ).
fof(f3065,plain,
pls = number_number_of_int(pls),
inference(forward_demodulation,[],[f2006,f1987]) ).
fof(f1987,plain,
zero_zero_int = pls,
inference(cnf_transformation,[],[f188]) ).
fof(f188,axiom,
zero_zero_int = pls,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_170_Pls__def) ).
fof(f2006,plain,
zero_zero_int = number_number_of_int(pls),
inference(cnf_transformation,[],[f228]) ).
fof(f228,axiom,
zero_zero_int = number_number_of_int(pls),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_210_semiring__norm_I112_J) ).
fof(f4109,plain,
one_one_int = bit1(number_number_of_int(pls)),
inference(superposition,[],[f3192,f2018]) ).
fof(f2018,plain,
one_one_int = number_number_of_int(bit1(pls)),
inference(cnf_transformation,[],[f271]) ).
fof(f271,axiom,
one_one_int = number_number_of_int(bit1(pls)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_253_semiring__norm_I110_J) ).
fof(f3192,plain,
! [X0] : number_number_of_int(bit1(X0)) = bit1(number_number_of_int(X0)),
inference(forward_demodulation,[],[f2150,f2109]) ).
fof(f2109,plain,
! [X0] : bit1(X0) = plus_plus_int(plus_plus_int(one_one_int,X0),X0),
inference(cnf_transformation,[],[f766]) ).
fof(f766,plain,
! [X0] : bit1(X0) = plus_plus_int(plus_plus_int(one_one_int,X0),X0),
inference(rectify,[],[f252]) ).
fof(f252,axiom,
! [X12] : bit1(X12) = plus_plus_int(plus_plus_int(one_one_int,X12),X12),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_234_Bit1__def) ).
fof(f2150,plain,
! [X0] : number_number_of_int(bit1(X0)) = plus_plus_int(plus_plus_int(one_one_int,number_number_of_int(X0)),number_number_of_int(X0)),
inference(cnf_transformation,[],[f807]) ).
fof(f807,plain,
! [X0] : number_number_of_int(bit1(X0)) = plus_plus_int(plus_plus_int(one_one_int,number_number_of_int(X0)),number_number_of_int(X0)),
inference(rectify,[],[f264]) ).
fof(f264,axiom,
! [X86] : number_number_of_int(bit1(X86)) = plus_plus_int(plus_plus_int(one_one_int,number_number_of_int(X86)),number_number_of_int(X86)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_246_number__of__Bit1) ).
fof(f2036,plain,
number_number_of_nat(bit0(bit1(pls))) = plus_plus_nat(one_one_nat,one_one_nat),
inference(cnf_transformation,[],[f105]) ).
fof(f105,axiom,
number_number_of_nat(bit0(bit1(pls))) = plus_plus_nat(one_one_nat,one_one_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_87_nat__1__add__1) ).
fof(f3083,plain,
~ ord_less_int(plus_plus_int(power_power_int(s,plus_plus_nat(one_one_nat,one_one_nat)),one_one_int),pls),
inference(backward_demodulation,[],[f3056,f2036]) ).
fof(f3056,plain,
~ ord_less_int(plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int),pls),
inference(forward_demodulation,[],[f1964,f1987]) ).
fof(f1964,plain,
~ ord_less_int(plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int),zero_zero_int),
inference(cnf_transformation,[],[f718]) ).
fof(f718,plain,
~ ord_less_int(plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int),zero_zero_int),
inference(flattening,[],[f717]) ).
fof(f717,negated_conjecture,
~ ord_less_int(plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int),zero_zero_int),
inference(negated_conjecture,[],[f716]) ).
fof(f716,conjecture,
ord_less_int(plus_plus_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(f4225,plain,
ord_less_int(plus_plus_int(one_one_int,power_power_int(s,number_number_of_nat(bit0(one_one_int)))),pls),
inference(forward_demodulation,[],[f4164,f2321]) ).
fof(f4164,plain,
ord_less_int(plus_plus_int(power_power_int(s,number_number_of_nat(bit0(one_one_int))),one_one_int),pls),
inference(backward_demodulation,[],[f3106,f4118]) ).
fof(f3106,plain,
ord_less_int(plus_plus_int(power_power_int(s,plus_plus_nat(one_one_nat,one_one_nat)),one_one_int),pls),
inference(backward_demodulation,[],[f3096,f3105]) ).
fof(f3105,plain,
! [X0] : pls = times_times_int(X0,pls),
inference(forward_demodulation,[],[f2085,f1987]) ).
fof(f2085,plain,
! [X0] : zero_zero_int = times_times_int(X0,zero_zero_int),
inference(cnf_transformation,[],[f742]) ).
fof(f742,plain,
! [X0] : zero_zero_int = times_times_int(X0,zero_zero_int),
inference(rectify,[],[f380]) ).
fof(f380,axiom,
! [X155] : zero_zero_int = times_times_int(X155,zero_zero_int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_362_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J) ).
fof(f3096,plain,
ord_less_int(plus_plus_int(power_power_int(s,plus_plus_nat(one_one_nat,one_one_nat)),one_one_int),times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),pls)),
inference(forward_demodulation,[],[f3095,f3092]) ).
fof(f3092,plain,
times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t) = plus_plus_int(power_power_int(s,plus_plus_nat(one_one_nat,one_one_nat)),one_one_int),
inference(forward_demodulation,[],[f2049,f2036]) ).
fof(f2049,plain,
times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t) = plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int),
inference(cnf_transformation,[],[f21]) ).
fof(f21,axiom,
times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t) = plus_plus_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(f3095,plain,
ord_less_int(times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t),times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),pls)),
inference(forward_demodulation,[],[f2051,f1987]) ).
fof(f2051,plain,
ord_less_int(times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t),times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),zero_zero_int)),
inference(cnf_transformation,[],[f20]) ).
fof(f20,axiom,
ord_less_int(times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t),times_times_int(plus_plus_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
% 0.07/0.13 % Problem : NUM924+2 : 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 : n008.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 : Fri May 3 15:24:08 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.37 % (11716)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.41 % (11719)WARNING: value z3 for option sas not known
% 0.21/0.41 % (11717)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.41 % (11720)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.41 % (11719)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)
% 0.21/0.42 % (11718)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.42 % (11721)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)
% 0.21/0.42 % (11722)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)
% 0.21/0.42 % (11723)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)
% 1.55/0.61 TRYING [1]
% 1.55/0.62 TRYING [2]
% 1.55/0.62 % (11722)First to succeed.
% 1.55/0.62 % (11722)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-11716"
% 1.55/0.62 % (11722)Refutation found. Thanks to Tanya!
% 1.55/0.62 % SZS status Theorem for theBenchmark
% 1.55/0.62 % SZS output start Proof for theBenchmark
% See solution above
% 1.55/0.62 % (11722)------------------------------
% 1.55/0.62 % (11722)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.55/0.62 % (11722)Termination reason: Refutation
% 1.55/0.62
% 1.55/0.62 % (11722)Memory used [KB]: 5402
% 1.55/0.62 % (11722)Time elapsed: 0.208 s
% 1.55/0.62 % (11722)Instructions burned: 444 (million)
% 1.55/0.62 % (11716)Success in time 0.253 s
%------------------------------------------------------------------------------