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 --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n004.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 : Fri Sep 1 20:42:41 EDT 2023
% Result : Theorem 2.08s 0.78s
% Output : Refutation 2.08s
% 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(f16261,plain,
$false,
inference(resolution,[],[f3133,f3134]) ).
fof(f3134,plain,
~ ord_less(int,minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),min),pls),
inference(backward_demodulation,[],[f3093,f3125]) ).
fof(f3125,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,[],[f3089,f2917]) ).
fof(f2917,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/tmp/tmp.M41TFiP775/Vampire---4.8_2505',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/tmp/tmp.M41TFiP775/Vampire---4.8_2505',fact_22_number__of__is__id) ).
fof(f3089,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,[],[f3010,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/tmp/tmp.M41TFiP775/Vampire---4.8_2505',fact_96_zadd__commute) ).
fof(f3010,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,f3003]) ).
fof(f3003,plain,
one_one(int) = bit1(pls),
inference(backward_demodulation,[],[f1903,f2916]) ).
fof(f2916,plain,
! [X2] : bit1(X2) = number_number_of(int,bit1(X2)),
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/tmp/tmp.M41TFiP775/Vampire---4.8_2505',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/tmp/tmp.M41TFiP775/Vampire---4.8_2505',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/tmp/tmp.M41TFiP775/Vampire---4.8_2505',fact_324__096s_A_094_A2_A_N_A_N1_A_061_As_A_094_A2_A_L_A1_096) ).
fof(f3093,plain,
~ ord_less(int,plus_plus(int,bit1(pls),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))),pls),
inference(forward_demodulation,[],[f3028,f2306]) ).
fof(f3028,plain,
~ ord_less(int,plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),bit1(pls)),pls),
inference(backward_demodulation,[],[f2636,f3003]) ).
fof(f2636,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/tmp/tmp.M41TFiP775/Vampire---4.8_2505',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/tmp/tmp.M41TFiP775/Vampire---4.8_2505',conj_0) ).
fof(f3133,plain,
ord_less(int,minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),min),pls),
inference(backward_demodulation,[],[f3086,f3125]) ).
fof(f3086,plain,
ord_less(int,plus_plus(int,bit1(pls),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))),pls),
inference(backward_demodulation,[],[f3000,f3003]) ).
fof(f3000,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,[],[f2999,f2306]) ).
fof(f2999,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,[],[f2998,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/tmp/tmp.M41TFiP775/Vampire---4.8_2505',fact_62_mult__Pls) ).
fof(f2998,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,[],[f2958,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/tmp/tmp.M41TFiP775/Vampire---4.8_2505',fact_23_zmult__commute) ).
fof(f2958,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,[],[f2652,f2915]) ).
fof(f2915,plain,
! [X1] : bit0(X1) = number_number_of(int,bit0(X1)),
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/tmp/tmp.M41TFiP775/Vampire---4.8_2505',tsy_c_Int_OBit0_res) ).
fof(f2652,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,[],[f2651,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/tmp/tmp.M41TFiP775/Vampire---4.8_2505',fact_3_t) ).
fof(f2651,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/tmp/tmp.M41TFiP775/Vampire---4.8_2505',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
% 0.12/0.18 % Problem : NUM924+6 : TPTP v8.1.2. Released v5.3.0.
% 0.12/0.20 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.21/0.42 % Computer : n004.cluster.edu
% 0.21/0.42 % Model : x86_64 x86_64
% 0.21/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.42 % Memory : 8042.1875MB
% 0.21/0.42 % OS : Linux 3.10.0-693.el7.x86_64
% 0.21/0.42 % CPULimit : 300
% 0.21/0.42 % WCLimit : 300
% 0.21/0.42 % DateTime : Wed Aug 30 14:57:22 EDT 2023
% 0.21/0.42 % CPUTime :
% 0.28/0.48 % (2765)Running in auto input_syntax mode. Trying TPTP
% 0.28/0.51 % (2810)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.28/0.51 % (2811)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.28/0.51 % (2813)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.28/0.51 % (2812)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 Vampire---4 for (569ds/0Mi)
% 0.28/0.51 % (2814)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 Vampire---4 for (531ds/0Mi)
% 0.28/0.51 % (2815)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 Vampire---4 for (522ds/0Mi)
% 0.28/0.51 % (2817)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 Vampire---4 for (497ds/0Mi)
% 0.28/0.64 TRYING [1]
% 0.28/0.65 TRYING [2]
% 0.28/0.72 TRYING [1]
% 0.28/0.75 TRYING [2]
% 2.08/0.78 % (2815)First to succeed.
% 2.08/0.78 % (2815)Refutation found. Thanks to Tanya!
% 2.08/0.78 % SZS status Theorem for Vampire---4
% 2.08/0.78 % SZS output start Proof for Vampire---4
% See solution above
% 2.08/0.78 % (2815)------------------------------
% 2.08/0.78 % (2815)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 2.08/0.78 % (2815)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 2.08/0.78 % (2815)Termination reason: Refutation
% 2.08/0.78
% 2.08/0.78 % (2815)Memory used [KB]: 8571
% 2.08/0.78 % (2815)Time elapsed: 0.274 s
% 2.08/0.78 % (2815)------------------------------
% 2.08/0.78 % (2815)------------------------------
% 2.08/0.78 % (2765)Success in time 0.36 s
% 2.08/0.78 % Vampire---4.8 exiting
%------------------------------------------------------------------------------