TSTP Solution File: NUM924+6 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM924+6 : 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 : n014.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 08:43:17 EDT 2024
% Result : Theorem 1.86s 0.67s
% Output : Refutation 1.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of formulae : 52 ( 52 unt; 0 def)
% Number of atoms : 52 ( 33 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; 0-3 aty)
% Number of functors : 17 ( 17 usr; 7 con; 0-3 aty)
% Number of variables : 24 ( 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f15821,plain,
$false,
inference(resolution,[],[f3166,f3167]) ).
fof(f3167,plain,
~ ord_less(int,minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),min),pls),
inference(backward_demodulation,[],[f3126,f3158]) ).
fof(f3158,plain,
plus_plus(int,bit1(pls),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))) = minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),min),
inference(backward_demodulation,[],[f3122,f2950]) ).
fof(f2950,plain,
min = number_number_of(int,min),
inference(superposition,[],[f1942,f1889]) ).
fof(f1889,plain,
min = ti(int,min),
inference(cnf_transformation,[],[f43]) ).
fof(f43,axiom,
min = ti(int,min),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tsy_c_Int_OMin_res) ).
fof(f1942,plain,
! [X0] : ti(int,X0) = number_number_of(int,X0),
inference(cnf_transformation,[],[f666]) ).
fof(f666,plain,
! [X0] : ti(int,X0) = number_number_of(int,X0),
inference(rectify,[],[f88]) ).
fof(f88,axiom,
! [X13] : number_number_of(int,X13) = ti(int,X13),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_22_number__of__is__id) ).
fof(f3122,plain,
minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),number_number_of(int,min)) = plus_plus(int,bit1(pls),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))),
inference(forward_demodulation,[],[f3043,f2306]) ).
fof(f2306,plain,
! [X0,X1] : plus_plus(int,X1,X0) = plus_plus(int,X0,X1),
inference(cnf_transformation,[],[f926]) ).
fof(f926,plain,
! [X0,X1] : plus_plus(int,X1,X0) = plus_plus(int,X0,X1),
inference(rectify,[],[f162]) ).
fof(f162,axiom,
! [X14,X10] : plus_plus(int,X10,X14) = plus_plus(int,X14,X10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_96_zadd__commute) ).
fof(f3043,plain,
minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),number_number_of(int,min)) = plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),bit1(pls)),
inference(backward_demodulation,[],[f1916,f3036]) ).
fof(f3036,plain,
one_one(int) = bit1(pls),
inference(backward_demodulation,[],[f1903,f2949]) ).
fof(f2949,plain,
! [X0] : bit1(X0) = number_number_of(int,bit1(X0)),
inference(superposition,[],[f1942,f1780]) ).
fof(f1780,plain,
! [X0] : bit1(X0) = ti(int,bit1(X0)),
inference(cnf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0] : bit1(X0) = ti(int,bit1(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tsy_c_Int_OBit1_res) ).
fof(f1903,plain,
one_one(int) = number_number_of(int,bit1(pls)),
inference(cnf_transformation,[],[f175]) ).
fof(f175,axiom,
one_one(int) = number_number_of(int,bit1(pls)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_109_one__is__num__one) ).
fof(f1916,plain,
plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int)) = minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),number_number_of(int,min)),
inference(cnf_transformation,[],[f390]) ).
fof(f390,axiom,
plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int)) = minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),number_number_of(int,min)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_324__096s_A_094_A2_A_N_A_N1_A_061_As_A_094_A2_A_L_A1_096) ).
fof(f3126,plain,
~ ord_less(int,plus_plus(int,bit1(pls),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))),pls),
inference(forward_demodulation,[],[f3061,f2306]) ).
fof(f3061,plain,
~ ord_less(int,plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),bit1(pls)),pls),
inference(backward_demodulation,[],[f2663,f3036]) ).
fof(f2663,plain,
~ ord_less(int,plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int)),pls),
inference(backward_demodulation,[],[f1776,f1877]) ).
fof(f1877,plain,
pls = zero_zero(int),
inference(cnf_transformation,[],[f186]) ).
fof(f186,axiom,
pls = zero_zero(int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_120_Pls__def) ).
fof(f1776,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,[],[f652]) ).
fof(f652,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,[],[f651]) ).
fof(f651,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,[],[f650]) ).
fof(f650,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(f3166,plain,
ord_less(int,minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),min),pls),
inference(backward_demodulation,[],[f3119,f3158]) ).
fof(f3119,plain,
ord_less(int,plus_plus(int,bit1(pls),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))),pls),
inference(backward_demodulation,[],[f3033,f3036]) ).
fof(f3033,plain,
ord_less(int,plus_plus(int,one_one(int),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))),pls),
inference(forward_demodulation,[],[f3032,f2306]) ).
fof(f3032,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,[],[f3031,f1939]) ).
fof(f1939,plain,
! [X0] : pls = times_times(int,pls,X0),
inference(cnf_transformation,[],[f663]) ).
fof(f663,plain,
! [X0] : pls = times_times(int,pls,X0),
inference(rectify,[],[f128]) ).
fof(f128,axiom,
! [X10] : pls = times_times(int,pls,X10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_62_mult__Pls) ).
fof(f3031,plain,
ord_less(int,plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int)),times_times(int,pls,plus_plus(int,times_times(int,bit0(bit0(bit1(pls))),m),one_one(int)))),
inference(forward_demodulation,[],[f2991,f2308]) ).
fof(f2308,plain,
! [X0,X1] : times_times(int,X0,X1) = times_times(int,X1,X0),
inference(cnf_transformation,[],[f928]) ).
fof(f928,plain,
! [X0,X1] : times_times(int,X0,X1) = times_times(int,X1,X0),
inference(rectify,[],[f89]) ).
fof(f89,axiom,
! [X14,X10] : times_times(int,X14,X10) = times_times(int,X10,X14),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_23_zmult__commute) ).
fof(f2991,plain,
ord_less(int,plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int)),times_times(int,plus_plus(int,times_times(int,bit0(bit0(bit1(pls))),m),one_one(int)),pls)),
inference(backward_demodulation,[],[f2679,f2948]) ).
fof(f2948,plain,
! [X0] : bit0(X0) = number_number_of(int,bit0(X0)),
inference(superposition,[],[f1942,f1779]) ).
fof(f1779,plain,
! [X0] : bit0(X0) = ti(int,bit0(X0)),
inference(cnf_transformation,[],[f40]) ).
fof(f40,axiom,
! [X0] : bit0(X0) = ti(int,bit0(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tsy_c_Int_OBit0_res) ).
fof(f2679,plain,
ord_less(int,plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),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,[],[f2678,f1919]) ).
fof(f1919,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,[],[f69]) ).
fof(f69,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(f2678,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,[],[f1921,f1877]) ).
fof(f1921,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,[],[f68]) ).
fof(f68,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
% 0.07/0.12 % Problem : NUM924+6 : TPTP v8.1.2. Released v5.3.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n014.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 14:22:38 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (1649)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.41 % (1654)WARNING: value z3 for option sas not known
% 0.22/0.41 % (1653)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.41 % (1651)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.41 % (1655)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.41 % (1654)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)
% 0.22/0.41 % (1656)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)
% 0.22/0.41 % (1657)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)
% 0.22/0.41 % (1658)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)
% 1.16/0.60 TRYING [1]
% 1.16/0.61 TRYING [2]
% 1.86/0.67 % (1657)First to succeed.
% 1.86/0.67 % (1657)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1649"
% 1.86/0.67 % (1657)Refutation found. Thanks to Tanya!
% 1.86/0.67 % SZS status Theorem for theBenchmark
% 1.86/0.67 % SZS output start Proof for theBenchmark
% See solution above
% 1.86/0.67 % (1657)------------------------------
% 1.86/0.67 % (1657)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.86/0.67 % (1657)Termination reason: Refutation
% 1.86/0.67
% 1.86/0.67 % (1657)Memory used [KB]: 5973
% 1.86/0.67 % (1657)Time elapsed: 0.262 s
% 1.86/0.67 % (1657)Instructions burned: 609 (million)
% 1.86/0.67 % (1649)Success in time 0.298 s
%------------------------------------------------------------------------------