%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM957_5 : TPTP v9.3.1. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:26:17 PM UTC 2026
% Result : Theorem 0.93s 0.59s
% Output : Refutation 0.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 16
% Syntax : Number of formulae : 83 ( 55 unt; 0 typ; 2 def)
% Number of atoms : 116 ( 30 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 68 ( 35 ~; 27 |; 0 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 16 ( 14 usr; 3 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-3 aty)
% Number of variables : 62 ( 0 sgn 62 !; 0 ?; 62 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
bool: $tType ).
tff(type_def_6,type,
int: $tType ).
tff(func_def_0,type,
minus_minus:
!>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).
tff(func_def_1,type,
one_one:
!>[X0: $tType] : X0 ).
tff(func_def_2,type,
plus_plus:
!>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).
tff(func_def_3,type,
times_times:
!>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).
tff(func_def_4,type,
zero_zero:
!>[X0: $tType] : X0 ).
tff(func_def_5,type,
bit0: int > int ).
tff(func_def_6,type,
bit1: int > int ).
tff(func_def_7,type,
pls: int ).
tff(func_def_8,type,
number_number_of:
!>[X0: $tType] : ( int > X0 ) ).
tff(func_def_9,type,
fFalse: bool ).
tff(func_def_10,type,
fTrue: bool ).
tff(func_def_11,type,
m: int ).
tff(func_def_12,type,
t: int ).
tff(pred_def_1,type,
number:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
ring:
!>[X0: $tType] : $o ).
tff(pred_def_3,type,
semiring:
!>[X0: $tType] : $o ).
tff(pred_def_4,type,
number_ring:
!>[X0: $tType] : $o ).
tff(pred_def_5,type,
ring_char_0:
!>[X0: $tType] : $o ).
tff(pred_def_6,type,
number_semiring:
!>[X0: $tType] : $o ).
tff(pred_def_7,type,
linordered_idom:
!>[X0: $tType] : $o ).
tff(pred_def_8,type,
linord219039673up_add:
!>[X0: $tType] : $o ).
tff(pred_def_9,type,
zprime: int > $o ).
tff(pred_def_10,type,
ord_less:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_11,type,
twoSqu1567020053sum2sq: int > $o ).
tff(pred_def_12,type,
pp: bool > $o ).
tff(f1,axiom,
ord_less(int,zero_zero(int),plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_p0) ).
tff(f2,axiom,
ord_less(int,minus_minus(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),one_one(int)),t),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1__0964_A_K_Am_A_L_A1_A_N_A1_A_060_At_096) ).
tff(f52,axiom,
pls = zero_zero(int),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_51_Pls__def) ).
tff(f55,axiom,
! [X0: int] : ( number_number_of(int,X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_54_number__of__is__id) ).
tff(f62,axiom,
! [X0: int,X1: int,X2: int] :
( ord_less(int,X2,X1)
=> ( ord_less(int,zero_zero(int),X0)
=> ord_less(int,times_times(int,X0,X2),times_times(int,X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_61_zmult__zless__mono2) ).
tff(f70,axiom,
! [X0: int] : ( plus_plus(int,X0,pls) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_69_add__Pls__right) ).
tff(f72,axiom,
! [X0: int] : ( bit0(X0) = plus_plus(int,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_71_Bit0__def) ).
tff(f76,axiom,
! [X0: int,X1: int,X2: int] : ( times_times(int,plus_plus(int,X2,X1),X0) = plus_plus(int,times_times(int,X2,X0),times_times(int,X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_75_int__distrib_I1_J) ).
tff(f77,axiom,
! [X0: int,X1: int,X2: int] : ( times_times(int,X2,plus_plus(int,X1,X0)) = plus_plus(int,times_times(int,X2,X1),times_times(int,X2,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_76_int__distrib_I2_J) ).
tff(f87,axiom,
! [X0: int] : ( bit1(X0) = plus_plus(int,plus_plus(int,one_one(int),X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_86_Bit1__def) ).
tff(f90,axiom,
! [X0: $tType] :
( number_ring(X0)
=> ! [X1: X0] : ( times_times(X0,number_number_of(X0,bit1(pls)),X1) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_89_mult__numeral__1) ).
tff(f95,axiom,
! [X0: $tType] :
( number_ring(X0)
=> ! [X1: int] : ( times_times(X0,plus_plus(X0,one_one(X0),one_one(X0)),number_number_of(X0,X1)) = number_number_of(X0,bit0(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_94_double__number__of__Bit0) ).
tff(f103,axiom,
number_ring(int),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Int_Oint___Int_Onumber__ring) ).
tff(f109,conjecture,
ord_less(int,times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),minus_minus(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),one_one(int))),times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),t)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
tff(f110,negated_conjecture,
~ ord_less(int,times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),minus_minus(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),one_one(int))),times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),t)),
inference(negated_conjecture,[status(cth)],[f109]) ).
tff(f111,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)),minus_minus(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),one_one(int))),times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),t)),
inference(flattening,[],[f110]) ).
tff(f148,plain,
! [X0: int,X1: int,X2: int] :
( ord_less(int,times_times(int,X0,X2),times_times(int,X0,X1))
| ~ ord_less(int,zero_zero(int),X0)
| ~ ord_less(int,X2,X1) ),
inference(ennf_transformation,[],[f62]) ).
tff(f149,plain,
! [X0: int,X1: int,X2: int] :
( ord_less(int,times_times(int,X0,X2),times_times(int,X0,X1))
| ~ ord_less(int,zero_zero(int),X0)
| ~ ord_less(int,X2,X1) ),
inference(flattening,[],[f148]) ).
tff(f158,plain,
! [X0: $tType] :
( ! [X1: X0] : ( times_times(X0,number_number_of(X0,bit1(pls)),X1) = X1 )
| ~ number_ring(X0) ),
inference(ennf_transformation,[],[f90]) ).
tff(f162,plain,
! [X0: $tType] :
( ! [X1: int] : ( times_times(X0,plus_plus(X0,one_one(X0),one_one(X0)),number_number_of(X0,X1)) = number_number_of(X0,bit0(X1)) )
| ~ number_ring(X0) ),
inference(ennf_transformation,[],[f95]) ).
tff(f197,plain,
ord_less(int,zero_zero(int),plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))),
inference(cnf_transformation,[],[f1]) ).
tff(f198,plain,
ord_less(int,minus_minus(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),one_one(int)),t),
inference(cnf_transformation,[],[f2]) ).
tff(f264,plain,
zero_zero(int) = pls,
inference(cnf_transformation,[],[f52]) ).
tff(f268,plain,
! [X0: int] : ( number_number_of(int,X0) = X0 ),
inference(cnf_transformation,[],[f55]) ).
tff(f278,plain,
! [X2: int,X0: int,X1: int] :
( ord_less(int,times_times(int,X0,X2),times_times(int,X0,X1))
| ~ ord_less(int,zero_zero(int),X0)
| ~ ord_less(int,X2,X1) ),
inference(cnf_transformation,[],[f149]) ).
tff(f292,plain,
! [X0: int] : ( plus_plus(int,X0,pls) = X0 ),
inference(cnf_transformation,[],[f70]) ).
tff(f294,plain,
! [X0: int] : ( bit0(X0) = plus_plus(int,X0,X0) ),
inference(cnf_transformation,[],[f72]) ).
tff(f299,plain,
! [X2: int,X0: int,X1: int] : ( times_times(int,plus_plus(int,X2,X1),X0) = plus_plus(int,times_times(int,X2,X0),times_times(int,X1,X0)) ),
inference(cnf_transformation,[],[f76]) ).
tff(f300,plain,
! [X2: int,X0: int,X1: int] : ( times_times(int,X2,plus_plus(int,X1,X0)) = plus_plus(int,times_times(int,X2,X1),times_times(int,X2,X0)) ),
inference(cnf_transformation,[],[f77]) ).
tff(f311,plain,
! [X0: int] : ( bit1(X0) = plus_plus(int,plus_plus(int,one_one(int),X0),X0) ),
inference(cnf_transformation,[],[f87]) ).
tff(f316,plain,
! [X0: $tType,X1: X0] :
( ( times_times(X0,number_number_of(X0,bit1(pls)),X1) = X1 )
| ~ number_ring(X0) ),
inference(cnf_transformation,[],[f158]) ).
tff(f321,plain,
! [X0: $tType,X1: int] :
( ( number_number_of(X0,bit0(X1)) = times_times(X0,plus_plus(X0,one_one(X0),one_one(X0)),number_number_of(X0,X1)) )
| ~ number_ring(X0) ),
inference(cnf_transformation,[],[f162]) ).
tff(f329,plain,
number_ring(int),
inference(cnf_transformation,[],[f103]) ).
tff(f335,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)),minus_minus(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),one_one(int))),times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),t)),
inference(cnf_transformation,[],[f111]) ).
tff(f336,plain,
ord_less(int,zero_zero(int),plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),m),one_one(int))),
inference(definition_unfolding,[],[f197,f294,f294,f311]) ).
tff(f337,plain,
ord_less(int,minus_minus(int,plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),m),one_one(int)),one_one(int)),t),
inference(definition_unfolding,[],[f198,f294,f294,f311]) ).
tff(f394,plain,
! [X0: $tType,X1: X0] :
( ( times_times(X0,number_number_of(X0,plus_plus(int,plus_plus(int,one_one(int),pls),pls)),X1) = X1 )
| ~ number_ring(X0) ),
inference(definition_unfolding,[],[f316,f311]) ).
tff(f398,plain,
! [X0: $tType,X1: int] :
( ~ number_ring(X0)
| ( times_times(X0,plus_plus(X0,one_one(X0),one_one(X0)),number_number_of(X0,X1)) = number_number_of(X0,plus_plus(int,X1,X1)) ) ),
inference(definition_unfolding,[],[f321,f294]) ).
tff(f402,plain,
~ ord_less(int,times_times(int,plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),m),one_one(int)),minus_minus(int,plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),m),one_one(int)),one_one(int))),times_times(int,plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),m),one_one(int)),t)),
inference(definition_unfolding,[],[f335,f294,f294,f311,f294,f294,f311,f294,f294,f311]) ).
tff(f588,plain,
~ ord_less(int,times_times(int,plus_plus(int,times_times(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls))),m),one_one(int)),minus_minus(int,plus_plus(int,times_times(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls))),m),one_one(int)),one_one(int))),times_times(int,plus_plus(int,times_times(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls))),m),one_one(int)),t)),
inference(forward_demodulation,[],[f402,f268]) ).
tff(f589,plain,
~ ord_less(int,times_times(int,plus_plus(int,times_times(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),plus_plus(int,one_one(int),pls)),plus_plus(int,plus_plus(int,one_one(int),pls),plus_plus(int,one_one(int),pls))),m),one_one(int)),minus_minus(int,plus_plus(int,times_times(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),plus_plus(int,one_one(int),pls)),plus_plus(int,plus_plus(int,one_one(int),pls),plus_plus(int,one_one(int),pls))),m),one_one(int)),one_one(int))),times_times(int,plus_plus(int,times_times(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),plus_plus(int,one_one(int),pls)),plus_plus(int,plus_plus(int,one_one(int),pls),plus_plus(int,one_one(int),pls))),m),one_one(int)),t)),
inference(forward_demodulation,[],[f588,f292]) ).
tff(f590,plain,
~ ord_less(int,times_times(int,plus_plus(int,times_times(int,plus_plus(int,plus_plus(int,one_one(int),one_one(int)),plus_plus(int,one_one(int),one_one(int))),m),one_one(int)),minus_minus(int,plus_plus(int,times_times(int,plus_plus(int,plus_plus(int,one_one(int),one_one(int)),plus_plus(int,one_one(int),one_one(int))),m),one_one(int)),one_one(int))),times_times(int,plus_plus(int,times_times(int,plus_plus(int,plus_plus(int,one_one(int),one_one(int)),plus_plus(int,one_one(int),one_one(int))),m),one_one(int)),t)),
inference(forward_demodulation,[],[f589,f292]) ).
tff(f630,plain,
! [X0: $tType,X1: X0] :
( ( times_times(X0,number_number_of(X0,plus_plus(int,one_one(int),pls)),X1) = X1 )
| ~ number_ring(X0) ),
inference(forward_demodulation,[],[f394,f292]) ).
tff(f631,plain,
! [X0: $tType,X1: X0] :
( ~ number_ring(X0)
| ( times_times(X0,number_number_of(X0,one_one(int)),X1) = X1 ) ),
inference(forward_demodulation,[],[f630,f292]) ).
tff(f632,plain,
! [X0: int] : ( times_times(int,number_number_of(int,one_one(int)),X0) = X0 ),
inference(resolution,[],[f631,f329]) ).
tff(f633,plain,
! [X0: int] : ( times_times(int,one_one(int),X0) = X0 ),
inference(forward_demodulation,[],[f632,f268]) ).
tff(f698,plain,
! [X0: int,X1: int] : ( times_times(int,plus_plus(int,X0,X0),X1) = times_times(int,X0,plus_plus(int,X1,X1)) ),
inference(superposition,[],[f300,f299]) ).
tff(f865,plain,
! [X2: int,X0: int,X1: int] :
( ord_less(int,times_times(int,X0,X2),times_times(int,X0,X1))
| ~ ord_less(int,pls,X0)
| ~ ord_less(int,X2,X1) ),
inference(forward_demodulation,[],[f278,f264]) ).
tff(f875,plain,
( ~ ord_less(int,pls,plus_plus(int,times_times(int,plus_plus(int,plus_plus(int,one_one(int),one_one(int)),plus_plus(int,one_one(int),one_one(int))),m),one_one(int)))
| ~ ord_less(int,minus_minus(int,plus_plus(int,times_times(int,plus_plus(int,plus_plus(int,one_one(int),one_one(int)),plus_plus(int,one_one(int),one_one(int))),m),one_one(int)),one_one(int)),t) ),
inference(resolution,[],[f865,f590]) ).
tff(f889,definition,
( spl0_3
<=> ord_less(int,minus_minus(int,plus_plus(int,times_times(int,plus_plus(int,plus_plus(int,one_one(int),one_one(int)),plus_plus(int,one_one(int),one_one(int))),m),one_one(int)),one_one(int)),t) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
tff(f891,plain,
( ~ ord_less(int,minus_minus(int,plus_plus(int,times_times(int,plus_plus(int,plus_plus(int,one_one(int),one_one(int)),plus_plus(int,one_one(int),one_one(int))),m),one_one(int)),one_one(int)),t)
| spl0_3 ),
inference(avatar_component_clause,[],[f889]) ).
tff(f893,definition,
( spl0_4
<=> ord_less(int,pls,plus_plus(int,times_times(int,plus_plus(int,plus_plus(int,one_one(int),one_one(int)),plus_plus(int,one_one(int),one_one(int))),m),one_one(int))) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
tff(f895,plain,
( ~ ord_less(int,pls,plus_plus(int,times_times(int,plus_plus(int,plus_plus(int,one_one(int),one_one(int)),plus_plus(int,one_one(int),one_one(int))),m),one_one(int)))
| spl0_4 ),
inference(avatar_component_clause,[],[f893]) ).
tff(f896,plain,
( ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f875,f893,f889]) ).
tff(f915,plain,
! [X0: int] : ( times_times(int,plus_plus(int,one_one(int),one_one(int)),number_number_of(int,X0)) = number_number_of(int,plus_plus(int,X0,X0)) ),
inference(resolution,[],[f398,f329]) ).
tff(f916,plain,
! [X0: int] : ( plus_plus(int,X0,X0) = times_times(int,plus_plus(int,one_one(int),one_one(int)),number_number_of(int,X0)) ),
inference(forward_demodulation,[],[f915,f268]) ).
tff(f917,plain,
! [X0: int] : ( plus_plus(int,X0,X0) = times_times(int,plus_plus(int,one_one(int),one_one(int)),X0) ),
inference(forward_demodulation,[],[f916,f268]) ).
tff(f1434,plain,
( ~ ord_less(int,minus_minus(int,plus_plus(int,times_times(int,plus_plus(int,one_one(int),one_one(int)),plus_plus(int,m,m)),one_one(int)),one_one(int)),t)
| spl0_3 ),
inference(superposition,[],[f891,f698]) ).
tff(f1495,plain,
( ~ ord_less(int,minus_minus(int,plus_plus(int,plus_plus(int,plus_plus(int,m,m),plus_plus(int,m,m)),one_one(int)),one_one(int)),t)
| spl0_3 ),
inference(forward_demodulation,[],[f1434,f917]) ).
tff(f2181,plain,
ord_less(int,zero_zero(int),plus_plus(int,times_times(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls))),m),one_one(int))),
inference(forward_demodulation,[],[f336,f268]) ).
tff(f2182,plain,
ord_less(int,zero_zero(int),plus_plus(int,times_times(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)),plus_plus(int,m,m)),one_one(int))),
inference(forward_demodulation,[],[f2181,f698]) ).
tff(f2183,plain,
ord_less(int,zero_zero(int),plus_plus(int,times_times(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,m,m),plus_plus(int,m,m))),one_one(int))),
inference(forward_demodulation,[],[f2182,f698]) ).
tff(f2184,plain,
ord_less(int,zero_zero(int),plus_plus(int,times_times(int,plus_plus(int,one_one(int),pls),plus_plus(int,plus_plus(int,m,m),plus_plus(int,m,m))),one_one(int))),
inference(forward_demodulation,[],[f2183,f292]) ).
tff(f2185,plain,
ord_less(int,zero_zero(int),plus_plus(int,times_times(int,one_one(int),plus_plus(int,plus_plus(int,m,m),plus_plus(int,m,m))),one_one(int))),
inference(forward_demodulation,[],[f2184,f292]) ).
tff(f2186,plain,
ord_less(int,zero_zero(int),plus_plus(int,plus_plus(int,plus_plus(int,m,m),plus_plus(int,m,m)),one_one(int))),
inference(forward_demodulation,[],[f2185,f633]) ).
tff(f2187,plain,
ord_less(int,pls,plus_plus(int,plus_plus(int,plus_plus(int,m,m),plus_plus(int,m,m)),one_one(int))),
inference(forward_demodulation,[],[f2186,f264]) ).
tff(f2239,plain,
ord_less(int,minus_minus(int,plus_plus(int,times_times(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls))),m),one_one(int)),one_one(int)),t),
inference(forward_demodulation,[],[f337,f268]) ).
tff(f2240,plain,
ord_less(int,minus_minus(int,plus_plus(int,times_times(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)),plus_plus(int,m,m)),one_one(int)),one_one(int)),t),
inference(forward_demodulation,[],[f2239,f698]) ).
tff(f2241,plain,
ord_less(int,minus_minus(int,plus_plus(int,times_times(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,m,m),plus_plus(int,m,m))),one_one(int)),one_one(int)),t),
inference(forward_demodulation,[],[f2240,f698]) ).
tff(f2242,plain,
ord_less(int,minus_minus(int,plus_plus(int,times_times(int,plus_plus(int,one_one(int),pls),plus_plus(int,plus_plus(int,m,m),plus_plus(int,m,m))),one_one(int)),one_one(int)),t),
inference(forward_demodulation,[],[f2241,f292]) ).
tff(f2243,plain,
ord_less(int,minus_minus(int,plus_plus(int,times_times(int,one_one(int),plus_plus(int,plus_plus(int,m,m),plus_plus(int,m,m))),one_one(int)),one_one(int)),t),
inference(forward_demodulation,[],[f2242,f292]) ).
tff(f2244,plain,
ord_less(int,minus_minus(int,plus_plus(int,plus_plus(int,plus_plus(int,m,m),plus_plus(int,m,m)),one_one(int)),one_one(int)),t),
inference(forward_demodulation,[],[f2243,f633]) ).
tff(f2245,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f2244,f1495]) ).
tff(f2246,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f2245]) ).
tff(f2248,plain,
( ~ ord_less(int,pls,plus_plus(int,times_times(int,plus_plus(int,one_one(int),one_one(int)),plus_plus(int,m,m)),one_one(int)))
| spl0_4 ),
inference(forward_demodulation,[],[f895,f698]) ).
tff(f2251,plain,
( ~ ord_less(int,pls,plus_plus(int,plus_plus(int,plus_plus(int,m,m),plus_plus(int,m,m)),one_one(int)))
| spl0_4 ),
inference(forward_demodulation,[],[f2248,f917]) ).
tff(f2252,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f2251,f2187]) ).
tff(f2253,plain,
spl0_4,
inference(avatar_contradiction_clause,[],[f2252]) ).
cnf(s3,plain,
( ~ spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f896]) ).
cnf(s15,plain,
spl0_3,
inference(sat_conversion,[],[f2246]) ).
cnf(s16,plain,
spl0_4,
inference(sat_conversion,[],[f2253]) ).
cnf(s18,plain,
$false,
inference(rat,[],[s3,s16,s15]) ).
tff(f2254,plain,
$false,
inference(avatar_sat_refutation,[],[s18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM957_5 : TPTP v9.3.1. Released v6.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n001.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 21:53:47 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.44 Running first-order model finding
% 0.13/0.44 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.93/0.59 % (3993634)Will run a generic schedule for satisfiability detection.
% 0.93/0.59 % (3993646)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1478010992:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.93/0.59 % (3993642)% WARNING: option uhcvi not known.
% 0.93/0.59 % (3993641)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=758419338_2999 on theBenchmark for (2999ds/0Mi)
% 0.93/0.59 % (3993642)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1891526980:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.93/0.59 % (3993643)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1063707056:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.93/0.59 % (3993644)dis+10_1_sil=32000:sp=arity:random_seed=29941706:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.93/0.59 % (3993645)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=949820094:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.93/0.59 % (3993647)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1083056744:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.93/0.59 % Exception at run slice level
% 0.93/0.59 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.93/0.59 % (3993655)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2300659621:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.93/0.59 % Exception at run slice level
% 0.93/0.59 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.93/0.59 % (3993646)Instruction limit reached!
% 0.93/0.59 % (3993646)------------------------------
% 0.93/0.59 % (3993646)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.59 % (3993646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.59 % (3993646)CaDiCaL version: 2.1.3
% 0.93/0.59 % (3993646)Termination reason: Instruction limit
% 0.93/0.59 % (3993646)Termination phase: Saturation
% 0.93/0.59 % (3993646)Time elapsed: 0.057 s
% 0.93/0.59 % (3993646)Peak memory usage: 12 MB
% 0.93/0.59 % (3993646)Instructions burned: 132 (million)
% 0.93/0.59 % (3993657)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2009770906:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.93/0.59 % (3993658)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1556728808:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 0.93/0.59 % (3993644) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3993634-3993644"...
% 0.93/0.59 % (3993645)Instruction limit reached!
% 0.93/0.59 % (3993645)------------------------------
% 0.93/0.59 % (3993645)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.59 % (3993645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.59 % (3993645)CaDiCaL version: 2.1.3
% 0.93/0.59 % (3993645)Termination reason: Instruction limit
% 0.93/0.59 % (3993645)Termination phase: Saturation
% 0.93/0.59 % (3993645)Time elapsed: 0.093 s
% 0.93/0.59 % (3993645)Peak memory usage: 13 MB
% 0.93/0.59 % (3993645)Instructions burned: 118 (million)
% 0.93/0.59 % (3993644)...printing done.
% 0.93/0.59 % (3993644)Refutation found. Thanks to Tanya!
% 0.93/0.59 % SZS status Theorem for theBenchmark
% 0.93/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 0.93/0.59 % (3993644)------------------------------
% 0.93/0.59 % (3993644)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.59 % (3993644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.59 % (3993644)CaDiCaL version: 2.1.3
% 0.93/0.59 % (3993644)Termination reason: Refutation
% 0.93/0.59 % (3993644)Time elapsed: 0.092 s
% 0.93/0.59 % (3993644)Peak memory usage: 13 MB
% 0.93/0.59 % (3993644)Instructions burned: 104 (million)
% 0.93/0.59 % (3993634)Success in time 0.139 s
% 0.93/0.59 % Vampire exiting
%------------------------------------------------------------------------------