TSTP Solution File: NUM924+7 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM924+7 : 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 : Tue Apr 30 14:38:35 EDT 2024
% Result : Theorem 4.52s 1.12s
% Output : Refutation 4.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 17
% Syntax : Number of formulae : 67 ( 53 unt; 0 def)
% Number of atoms : 138 ( 49 equ)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 114 ( 43 ~; 34 |; 19 &)
% ( 8 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 13 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 25 ( 25 usr; 7 con; 0-5 aty)
% Number of variables : 109 ( 109 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f22790,plain,
$false,
inference(resolution,[],[f6341,f7735]) ).
fof(f7735,plain,
~ hBOOL(hAPP(int,bool,combc(int,int,bool,ord_less(int),pls),twoSqu1929807760sum2sq(product_Pair(int,int,s,one_one(int))))),
inference(forward_demodulation,[],[f7734,f6928]) ).
fof(f6928,plain,
! [X0] : pls = standardRes(X0,X0),
inference(superposition,[],[f4701,f5613]) ).
fof(f5613,plain,
! [X0] : pls = hAPP(int,int,div_mod(int,X0),X0),
inference(forward_demodulation,[],[f4020,f3936]) ).
fof(f3936,plain,
pls = zero_zero(int),
inference(cnf_transformation,[],[f220]) ).
fof(f220,axiom,
pls = zero_zero(int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_122_Pls__def) ).
fof(f4020,plain,
! [X0] : zero_zero(int) = hAPP(int,int,div_mod(int,X0),X0),
inference(cnf_transformation,[],[f1286]) ).
fof(f1286,plain,
! [X0] : zero_zero(int) = hAPP(int,int,div_mod(int,X0),X0),
inference(rectify,[],[f1015]) ).
fof(f1015,axiom,
! [X9] : zero_zero(int) = hAPP(int,int,div_mod(int,X9),X9),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_917_zmod__self) ).
fof(f4701,plain,
! [X0,X1] : standardRes(X0,X1) = hAPP(int,int,div_mod(int,X1),X0),
inference(cnf_transformation,[],[f1790]) ).
fof(f1790,plain,
! [X0,X1] : standardRes(X0,X1) = hAPP(int,int,div_mod(int,X1),X0),
inference(rectify,[],[f1077]) ).
fof(f1077,axiom,
! [X46,X5] : hAPP(int,int,div_mod(int,X5),X46) = standardRes(X46,X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_979_StandardRes__def) ).
fof(f7734,plain,
! [X0] : ~ hBOOL(hAPP(int,bool,combc(int,int,bool,ord_less(int),standardRes(X0,X0)),twoSqu1929807760sum2sq(product_Pair(int,int,s,one_one(int))))),
inference(forward_demodulation,[],[f7733,f5474]) ).
fof(f5474,plain,
! [X2,X3,X0,X1,X4,X5] : hAPP(X0,X1,combc(X0,X2,X1,X3,X4),X5) = hAPP(X2,X1,hAPP(X0,fun(X2,X1),X3,X5),X4),
inference(cnf_transformation,[],[f2287]) ).
fof(f2287,plain,
! [X0,X1,X2,X3,X4,X5] : hAPP(X0,X1,combc(X0,X2,X1,X3,X4),X5) = hAPP(X2,X1,hAPP(X0,fun(X2,X1),X3,X5),X4),
inference(rectify,[],[f1250]) ).
fof(f1250,axiom,
! [X2,X1,X0,X99,X100,X101] : hAPP(X2,X1,combc(X2,X0,X1,X99,X100),X101) = hAPP(X0,X1,hAPP(X2,fun(X0,X1),X99,X101),X100),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBC_1_1_U) ).
fof(f7733,plain,
! [X0] : ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),twoSqu1929807760sum2sq(product_Pair(int,int,s,one_one(int)))),standardRes(X0,X0))),
inference(resolution,[],[f7730,f6042]) ).
fof(f6042,plain,
! [X2,X0,X1] :
( sP18(X1,X2,X0)
| ~ hBOOL(hAPP(int,bool,X0,standardRes(X2,X1))) ),
inference(forward_demodulation,[],[f5358,f4701]) ).
fof(f5358,plain,
! [X2,X0,X1] :
( sP18(X1,X2,X0)
| ~ hBOOL(hAPP(int,bool,X0,hAPP(int,int,div_mod(int,X1),X2))) ),
inference(cnf_transformation,[],[f3731]) ).
fof(f3731,plain,
! [X0,X1,X2] :
( ( hBOOL(hAPP(int,bool,X0,hAPP(int,int,div_mod(int,X1),X2)))
| ~ sP18(X1,X2,X0) )
& ( sP18(X1,X2,X0)
| ~ hBOOL(hAPP(int,bool,X0,hAPP(int,int,div_mod(int,X1),X2))) ) ),
inference(nnf_transformation,[],[f3338]) ).
fof(f3338,plain,
! [X0,X1,X2] :
( hBOOL(hAPP(int,bool,X0,hAPP(int,int,div_mod(int,X1),X2)))
<=> sP18(X1,X2,X0) ),
inference(definition_folding,[],[f3228,f3337,f3336,f3335]) ).
fof(f3335,plain,
! [X0,X2,X1] :
( sP16(X0,X2,X1)
<=> ( ! [X5,X6] :
( hBOOL(hAPP(int,bool,X0,X6))
| ti(int,X1) != hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,X2),X5)),X6)
| ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X6),X2))
| ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X6)) )
| ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X2)) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f3336,plain,
! [X0,X2,X1] :
( sP17(X0,X2,X1)
<=> ( ! [X3,X4] :
( hBOOL(hAPP(int,bool,X0,X4))
| ti(int,X1) != hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,X2),X3)),X4)
| ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X4),zero_zero(int)))
| ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X2),X4)) )
| ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X2),zero_zero(int))) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f3337,plain,
! [X1,X2,X0] :
( sP18(X1,X2,X0)
<=> ( sP17(X0,X2,X1)
& sP16(X0,X2,X1)
& ( hBOOL(hAPP(int,bool,X0,X1))
| zero_zero(int) != ti(int,X2) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f3228,plain,
! [X0,X1,X2] :
( hBOOL(hAPP(int,bool,X0,hAPP(int,int,div_mod(int,X1),X2)))
<=> ( ( ! [X3,X4] :
( hBOOL(hAPP(int,bool,X0,X4))
| ti(int,X1) != hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,X2),X3)),X4)
| ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X4),zero_zero(int)))
| ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X2),X4)) )
| ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X2),zero_zero(int))) )
& ( ! [X5,X6] :
( hBOOL(hAPP(int,bool,X0,X6))
| ti(int,X1) != hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,X2),X5)),X6)
| ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X6),X2))
| ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X6)) )
| ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X2)) )
& ( hBOOL(hAPP(int,bool,X0,X1))
| zero_zero(int) != ti(int,X2) ) ) ),
inference(flattening,[],[f3227]) ).
fof(f3227,plain,
! [X0,X1,X2] :
( hBOOL(hAPP(int,bool,X0,hAPP(int,int,div_mod(int,X1),X2)))
<=> ( ( ! [X3,X4] :
( hBOOL(hAPP(int,bool,X0,X4))
| ti(int,X1) != hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,X2),X3)),X4)
| ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X4),zero_zero(int)))
| ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X2),X4)) )
| ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X2),zero_zero(int))) )
& ( ! [X5,X6] :
( hBOOL(hAPP(int,bool,X0,X6))
| ti(int,X1) != hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,X2),X5)),X6)
| ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X6),X2))
| ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X6)) )
| ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X2)) )
& ( hBOOL(hAPP(int,bool,X0,X1))
| zero_zero(int) != ti(int,X2) ) ) ),
inference(ennf_transformation,[],[f2212]) ).
fof(f2212,plain,
! [X0,X1,X2] :
( hBOOL(hAPP(int,bool,X0,hAPP(int,int,div_mod(int,X1),X2)))
<=> ( ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X2),zero_zero(int)))
=> ! [X3,X4] :
( ( ti(int,X1) = hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,X2),X3)),X4)
& hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X4),zero_zero(int)))
& hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X2),X4)) )
=> hBOOL(hAPP(int,bool,X0,X4)) ) )
& ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X2))
=> ! [X5,X6] :
( ( ti(int,X1) = hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,X2),X5)),X6)
& hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X6),X2))
& hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X6)) )
=> hBOOL(hAPP(int,bool,X0,X6)) ) )
& ( zero_zero(int) = ti(int,X2)
=> hBOOL(hAPP(int,bool,X0,X1)) ) ) ),
inference(rectify,[],[f1068]) ).
fof(f1068,axiom,
! [X33,X37,X16] :
( hBOOL(hAPP(int,bool,X33,hAPP(int,int,div_mod(int,X37),X16)))
<=> ( ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X16),zero_zero(int)))
=> ! [X73,X92] :
( ( ti(int,X37) = hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,X16),X73)),X92)
& hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X92),zero_zero(int)))
& hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X16),X92)) )
=> hBOOL(hAPP(int,bool,X33,X92)) ) )
& ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X16))
=> ! [X73,X92] :
( ( ti(int,X37) = hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,X16),X73)),X92)
& hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X92),X16))
& hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X92)) )
=> hBOOL(hAPP(int,bool,X33,X92)) ) )
& ( zero_zero(int) = ti(int,X16)
=> hBOOL(hAPP(int,bool,X33,X37)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_970_split__zmod) ).
fof(f7730,plain,
! [X0] : ~ sP18(X0,X0,hAPP(int,fun(int,bool),ord_less(int),twoSqu1929807760sum2sq(product_Pair(int,int,s,one_one(int))))),
inference(resolution,[],[f7725,f5596]) ).
fof(f5596,plain,
~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),twoSqu1929807760sum2sq(product_Pair(int,int,s,one_one(int)))),pls)),
inference(backward_demodulation,[],[f5577,f5594]) ).
fof(f5594,plain,
hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,s),number_number_of(nat,bit0(bit1(pls))))),one_one(int)) = twoSqu1929807760sum2sq(product_Pair(int,int,s,one_one(int))),
inference(forward_demodulation,[],[f3985,f3981]) ).
fof(f3981,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) = twoSqu1929807760sum2sq(product_Pair(int,int,s,one_one(int))),
inference(cnf_transformation,[],[f849]) ).
fof(f849,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) = twoSqu1929807760sum2sq(product_Pair(int,int,s,one_one(int))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_751__096sum2sq_A_Is_M_A1_J_A_061_A_I4_A_K_Am_A_L_A1_J_A_K_At_096) ).
fof(f3985,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,[],[f101]) ).
fof(f101,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(f5577,plain,
~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,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))),pls)),
inference(backward_demodulation,[],[f3769,f3936]) ).
fof(f3769,plain,
~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,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,[],[f1257]) ).
fof(f1257,plain,
~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,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,[],[f1256]) ).
fof(f1256,negated_conjecture,
~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,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,[],[f1255]) ).
fof(f1255,conjecture,
hBOOL(hAPP(int,bool,hAPP(int,fun(int,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(f7725,plain,
! [X0,X1] :
( hBOOL(hAPP(int,bool,X1,pls))
| ~ sP18(X0,X0,X1) ),
inference(superposition,[],[f6041,f6928]) ).
fof(f6041,plain,
! [X2,X0,X1] :
( hBOOL(hAPP(int,bool,X0,standardRes(X2,X1)))
| ~ sP18(X1,X2,X0) ),
inference(forward_demodulation,[],[f5359,f4701]) ).
fof(f5359,plain,
! [X2,X0,X1] :
( hBOOL(hAPP(int,bool,X0,hAPP(int,int,div_mod(int,X1),X2)))
| ~ sP18(X1,X2,X0) ),
inference(cnf_transformation,[],[f3731]) ).
fof(f6341,plain,
hBOOL(hAPP(int,bool,combc(int,int,bool,ord_less(int),pls),twoSqu1929807760sum2sq(product_Pair(int,int,s,one_one(int))))),
inference(forward_demodulation,[],[f6340,f4012]) ).
fof(f4012,plain,
! [X0] : pls = hAPP(int,int,times_times(int,pls),X0),
inference(cnf_transformation,[],[f1278]) ).
fof(f1278,plain,
! [X0] : pls = hAPP(int,int,times_times(int,pls),X0),
inference(rectify,[],[f160]) ).
fof(f160,axiom,
! [X11] : pls = hAPP(int,int,times_times(int,pls),X11),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_62_mult__Pls) ).
fof(f6340,plain,
hBOOL(hAPP(int,bool,combc(int,int,bool,ord_less(int),hAPP(int,int,times_times(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,bit0(bit0(one_one(int))))),m)),one_one(int)))),twoSqu1929807760sum2sq(product_Pair(int,int,s,one_one(int))))),
inference(forward_demodulation,[],[f6339,f4712]) ).
fof(f4712,plain,
! [X0,X1] : hAPP(int,int,times_times(int,X0),X1) = hAPP(int,int,times_times(int,X1),X0),
inference(cnf_transformation,[],[f1801]) ).
fof(f1801,plain,
! [X0,X1] : hAPP(int,int,times_times(int,X0),X1) = hAPP(int,int,times_times(int,X1),X0),
inference(rectify,[],[f121]) ).
fof(f121,axiom,
! [X15,X11] : hAPP(int,int,times_times(int,X15),X11) = hAPP(int,int,times_times(int,X11),X15),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_23_zmult__commute) ).
fof(f6339,plain,
hBOOL(hAPP(int,bool,combc(int,int,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(one_one(int))))),m)),one_one(int))),pls)),twoSqu1929807760sum2sq(product_Pair(int,int,s,one_one(int))))),
inference(forward_demodulation,[],[f6239,f5474]) ).
fof(f6239,plain,
hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),twoSqu1929807760sum2sq(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(one_one(int))))),m)),one_one(int))),pls))),
inference(backward_demodulation,[],[f5600,f6162]) ).
fof(f6162,plain,
bit0(bit1(pls)) = bit0(one_one(int)),
inference(superposition,[],[f5607,f3951]) ).
fof(f3951,plain,
one_one(int) = number_number_of(int,bit1(pls)),
inference(cnf_transformation,[],[f209]) ).
fof(f209,axiom,
one_one(int) = number_number_of(int,bit1(pls)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_111_one__is__num__one) ).
fof(f5607,plain,
! [X0] : bit0(X0) = bit0(number_number_of(int,X0)),
inference(backward_demodulation,[],[f3774,f4007]) ).
fof(f4007,plain,
! [X0] : ti(int,X0) = number_number_of(int,X0),
inference(cnf_transformation,[],[f1273]) ).
fof(f1273,plain,
! [X0] : ti(int,X0) = number_number_of(int,X0),
inference(rectify,[],[f120]) ).
fof(f120,axiom,
! [X14] : number_number_of(int,X14) = ti(int,X14),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_22_number__of__is__id) ).
fof(f3774,plain,
! [X0] : bit0(X0) = bit0(ti(int,X0)),
inference(cnf_transformation,[],[f1260]) ).
fof(f1260,plain,
! [X0] : bit0(X0) = bit0(ti(int,X0)),
inference(rectify,[],[f50]) ).
fof(f50,axiom,
! [X3] : bit0(ti(int,X3)) = bit0(X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tsy_c_Int_OBit0_arg1) ).
fof(f5600,plain,
hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),twoSqu1929807760sum2sq(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(pls))))),m)),one_one(int))),pls))),
inference(forward_demodulation,[],[f5599,f3981]) ).
fof(f5599,plain,
hBOOL(hAPP(int,bool,hAPP(int,fun(int,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))),pls))),
inference(forward_demodulation,[],[f3989,f3936]) ).
fof(f3989,plain,
hBOOL(hAPP(int,bool,hAPP(int,fun(int,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,[],[f100]) ).
fof(f100,axiom,
hBOOL(hAPP(int,bool,hAPP(int,fun(int,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
% 0.03/0.11 % Problem : NUM924+7 : TPTP v8.1.2. Released v5.3.0.
% 0.03/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.33 % Computer : n014.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Apr 29 23:14:04 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % (26736)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.48 % (26739)WARNING: value z3 for option sas not known
% 0.18/0.48 % (26738)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.18/0.48 % (26740)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.18/0.48 % (26742)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)
% 0.18/0.48 % (26743)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)
% 0.18/0.48 % (26741)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)
% 0.18/0.48 % (26737)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.18/0.48 % (26739)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)
% 4.52/1.11 % (26742)First to succeed.
% 4.52/1.12 % (26742)Refutation found. Thanks to Tanya!
% 4.52/1.12 % SZS status Theorem for theBenchmark
% 4.52/1.12 % SZS output start Proof for theBenchmark
% See solution above
% 4.52/1.12 % (26742)------------------------------
% 4.52/1.12 % (26742)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 4.52/1.12 % (26742)Termination reason: Refutation
% 4.52/1.12
% 4.52/1.12 % (26742)Memory used [KB]: 9433
% 4.52/1.12 % (26742)Time elapsed: 0.639 s
% 4.52/1.12 % (26742)Instructions burned: 1285 (million)
% 4.52/1.12 % (26742)------------------------------
% 4.52/1.12 % (26742)------------------------------
% 4.52/1.12 % (26736)Success in time 0.771 s
%------------------------------------------------------------------------------