%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM992_5 : TPTP v9.3.1. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n004.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 12:26:21 PM UTC 2026
% Result : Theorem 22.33s 3.77s
% Output : Refutation 22.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 17
% Syntax : Number of formulae : 84 ( 61 unt; 0 typ; 0 def)
% Number of atoms : 121 ( 38 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 78 ( 41 ~; 25 |; 5 &)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 6 con; 0-3 aty)
% Number of variables : 72 ( 69 !; 3 ?; 72 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
bool: $tType ).
tff(type_def_6,type,
int: $tType ).
tff(type_def_7,type,
nat: $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,
semiring_1_of_nat:
!>[X0: $tType] : ( nat > X0 ) ).
tff(func_def_10,type,
fFalse: bool ).
tff(func_def_11,type,
fTrue: bool ).
tff(func_def_12,type,
m1: int ).
tff(func_def_13,type,
n: nat ).
tff(func_def_14,type,
t: int ).
tff(func_def_15,type,
sK0: ( int * int ) > nat ).
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,
linorder:
!>[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,
ord_less:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_10,type,
ord_less_eq:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_11,type,
pp: bool > $o ).
tff(f4,axiom,
ord_less(int,minus_minus(int,times_times(int,number_number_of(int,bit0(bit1(pls))),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m1)),zero_zero(int)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3__0962_A_K_A_I1_A_L_Aint_An_J_A_N_A4_A_K_Am1_A_060_A0_096) ).
tff(f13,axiom,
! [X0: int,X1: int] : ( times_times(int,bit1(X1),X0) = plus_plus(int,bit0(times_times(int,X1,X0)),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_12_mult__Bit1) ).
tff(f14,axiom,
! [X0: $tType] :
( number_ring(X0)
=> ( number_number_of(X0,bit1(pls)) = one_one(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_13_numeral__1__eq__1) ).
tff(f29,axiom,
bit0(pls) = pls,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_28_Bit0__Pls) ).
tff(f36,axiom,
! [X0: int] : ( times_times(int,pls,X0) = pls ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_35_mult__Pls) ).
tff(f37,axiom,
! [X0: int,X1: int] : ( times_times(int,bit0(X1),X0) = bit0(times_times(int,X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_36_mult__Bit0) ).
tff(f39,axiom,
! [X0: int,X1: int] : ( minus_minus(int,bit0(X1),bit0(X0)) = bit0(minus_minus(int,X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_38_diff__bin__simps_I7_J) ).
tff(f43,axiom,
! [X0: $tType] :
( number_ring(X0)
=> ( number_number_of(X0,pls) = zero_zero(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_42_number__of__Pls) ).
tff(f78,axiom,
! [X0: nat] :
( ord_less(int,zero_zero(int),semiring_1_of_nat(int,X0))
<=> ord_less(nat,zero_zero(nat),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_77_zero__less__int__conv) ).
tff(f79,axiom,
! [X0: nat,X1: int,X2: int] :
( ord_less(int,X2,X1)
=> ( ord_less(nat,zero_zero(nat),X0)
=> ord_less(int,times_times(int,semiring_1_of_nat(int,X0),X2),times_times(int,semiring_1_of_nat(int,X0),X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_78_zmult__zless__mono2__lemma) ).
tff(f84,axiom,
! [X0: nat,X1: nat] : ( plus_plus(int,semiring_1_of_nat(int,X1),semiring_1_of_nat(int,X0)) = semiring_1_of_nat(int,plus_plus(nat,X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_83_zadd__int) ).
tff(f86,axiom,
! [X0: int,X1: int] :
( ord_less_eq(int,X1,X0)
<=> ? [X2: nat] : ( X0 = plus_plus(int,X1,semiring_1_of_nat(int,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_85_zle__iff__zadd) ).
tff(f87,axiom,
semiring_1_of_nat(int,one_one(nat)) = one_one(int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_86_int__1) ).
tff(f92,axiom,
! [X0: int] :
( ord_less_eq(int,one_one(int),X0)
<=> ord_less(int,zero_zero(int),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_91_int__one__le__iff__zero__less) ).
tff(f97,axiom,
! [X0: int] : ( number_number_of(int,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_96_number__of__is__id) ).
tff(f103,axiom,
number_ring(int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int_Oint___Int_Onumber__ring) ).
tff(f113,conjecture,
ord_less(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),minus_minus(int,times_times(int,number_number_of(int,bit0(bit1(pls))),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m1))),times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),zero_zero(int))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
tff(f114,negated_conjecture,
~ ord_less(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),minus_minus(int,times_times(int,number_number_of(int,bit0(bit1(pls))),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m1))),times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),zero_zero(int))),
inference(negated_conjecture,[status(cth)],[f113]) ).
tff(f115,plain,
~ ord_less(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),minus_minus(int,times_times(int,number_number_of(int,bit0(bit1(pls))),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m1))),times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),zero_zero(int))),
inference(flattening,[],[f114]) ).
tff(f127,plain,
! [X0: $tType] :
( ( number_number_of(X0,bit1(pls)) = one_one(X0) )
| ~ number_ring(X0) ),
inference(ennf_transformation,[],[f14]) ).
tff(f135,plain,
! [X0: $tType] :
( ( number_number_of(X0,pls) = zero_zero(X0) )
| ~ number_ring(X0) ),
inference(ennf_transformation,[],[f43]) ).
tff(f156,plain,
! [X0: nat,X1: int,X2: int] :
( ord_less(int,times_times(int,semiring_1_of_nat(int,X0),X2),times_times(int,semiring_1_of_nat(int,X0),X1))
| ~ ord_less(nat,zero_zero(nat),X0)
| ~ ord_less(int,X2,X1) ),
inference(ennf_transformation,[],[f79]) ).
tff(f157,plain,
! [X0: nat,X1: int,X2: int] :
( ord_less(int,times_times(int,semiring_1_of_nat(int,X0),X2),times_times(int,semiring_1_of_nat(int,X0),X1))
| ~ ord_less(nat,zero_zero(nat),X0)
| ~ ord_less(int,X2,X1) ),
inference(flattening,[],[f156]) ).
tff(f203,plain,
! [X0: nat] :
( ( ord_less(int,zero_zero(int),semiring_1_of_nat(int,X0))
| ~ ord_less(nat,zero_zero(nat),X0) )
& ( ord_less(nat,zero_zero(nat),X0)
| ~ ord_less(int,zero_zero(int),semiring_1_of_nat(int,X0)) ) ),
inference(nnf_transformation,[],[f78]) ).
tff(f207,plain,
! [X0: int,X1: int] :
( ( ord_less_eq(int,X1,X0)
| ! [X2: nat] : ( plus_plus(int,X1,semiring_1_of_nat(int,X2)) != X0 ) )
& ( ? [X2: nat] : ( X0 = plus_plus(int,X1,semiring_1_of_nat(int,X2)) )
| ~ ord_less_eq(int,X1,X0) ) ),
inference(nnf_transformation,[],[f86]) ).
tff(f208,plain,
! [X0: int,X1: int] :
( ( ord_less_eq(int,X1,X0)
| ! [X2: nat] : ( plus_plus(int,X1,semiring_1_of_nat(int,X2)) != X0 ) )
& ( ? [X3: nat] : ( plus_plus(int,X1,semiring_1_of_nat(int,X3)) = X0 )
| ~ ord_less_eq(int,X1,X0) ) ),
inference(rectify,[],[f207]) ).
tff(f209,plain,
! [X0: int,X1: int] :
( ( ord_less_eq(int,X1,X0)
| ! [X2: nat] : ( plus_plus(int,X1,semiring_1_of_nat(int,X2)) != X0 ) )
& ( ( plus_plus(int,X1,semiring_1_of_nat(int,sK0(X0,X1))) = X0 )
| ~ ord_less_eq(int,X1,X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X3,sK0(X0,X1))],[f208]) ).
tff(f213,plain,
! [X0: int] :
( ( ord_less_eq(int,one_one(int),X0)
| ~ ord_less(int,zero_zero(int),X0) )
& ( ord_less(int,zero_zero(int),X0)
| ~ ord_less_eq(int,one_one(int),X0) ) ),
inference(nnf_transformation,[],[f92]) ).
tff(f220,plain,
ord_less(int,minus_minus(int,times_times(int,number_number_of(int,bit0(bit1(pls))),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m1)),zero_zero(int)),
inference(cnf_transformation,[],[f4]) ).
tff(f233,plain,
! [X0: int,X1: int] : ( times_times(int,bit1(X1),X0) = plus_plus(int,bit0(times_times(int,X1,X0)),X0) ),
inference(cnf_transformation,[],[f13]) ).
tff(f234,plain,
! [X0: $tType] :
( ~ number_ring(X0)
| ( one_one(X0) = number_number_of(X0,bit1(pls)) ) ),
inference(cnf_transformation,[],[f127]) ).
tff(f255,plain,
pls = bit0(pls),
inference(cnf_transformation,[],[f29]) ).
tff(f266,plain,
! [X0: int] : ( pls = times_times(int,pls,X0) ),
inference(cnf_transformation,[],[f36]) ).
tff(f267,plain,
! [X0: int,X1: int] : ( bit0(times_times(int,X1,X0)) = times_times(int,bit0(X1),X0) ),
inference(cnf_transformation,[],[f37]) ).
tff(f269,plain,
! [X0: int,X1: int] : ( minus_minus(int,bit0(X1),bit0(X0)) = bit0(minus_minus(int,X1,X0)) ),
inference(cnf_transformation,[],[f39]) ).
tff(f273,plain,
! [X0: $tType] :
( ~ number_ring(X0)
| ( zero_zero(X0) = number_number_of(X0,pls) ) ),
inference(cnf_transformation,[],[f135]) ).
tff(f334,plain,
! [X0: nat] :
( ~ ord_less(int,zero_zero(int),semiring_1_of_nat(int,X0))
| ord_less(nat,zero_zero(nat),X0) ),
inference(cnf_transformation,[],[f203]) ).
tff(f336,plain,
! [X2: int,X0: nat,X1: int] :
( ord_less(int,times_times(int,semiring_1_of_nat(int,X0),X2),times_times(int,semiring_1_of_nat(int,X0),X1))
| ~ ord_less(nat,zero_zero(nat),X0)
| ~ ord_less(int,X2,X1) ),
inference(cnf_transformation,[],[f157]) ).
tff(f343,plain,
! [X0: nat,X1: nat] : ( plus_plus(int,semiring_1_of_nat(int,X1),semiring_1_of_nat(int,X0)) = semiring_1_of_nat(int,plus_plus(nat,X1,X0)) ),
inference(cnf_transformation,[],[f84]) ).
tff(f347,plain,
! [X2: nat,X0: int,X1: int] :
( ord_less_eq(int,X1,X0)
| ( plus_plus(int,X1,semiring_1_of_nat(int,X2)) != X0 ) ),
inference(cnf_transformation,[],[f209]) ).
tff(f348,plain,
one_one(int) = semiring_1_of_nat(int,one_one(nat)),
inference(cnf_transformation,[],[f87]) ).
tff(f356,plain,
! [X0: int] :
( ~ ord_less_eq(int,one_one(int),X0)
| ord_less(int,zero_zero(int),X0) ),
inference(cnf_transformation,[],[f213]) ).
tff(f364,plain,
! [X0: int] : ( number_number_of(int,X0) = X0 ),
inference(cnf_transformation,[],[f97]) ).
tff(f371,plain,
number_ring(int),
inference(cnf_transformation,[],[f103]) ).
tff(f381,plain,
~ ord_less(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),minus_minus(int,times_times(int,number_number_of(int,bit0(bit1(pls))),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m1))),times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),zero_zero(int))),
inference(cnf_transformation,[],[f115]) ).
tff(f390,plain,
! [X2: nat,X1: int] : ord_less_eq(int,X1,plus_plus(int,X1,semiring_1_of_nat(int,X2))),
inference(equality_resolution,[],[f347]) ).
tff(f399,plain,
ord_less(int,minus_minus(int,times_times(int,number_number_of(int,bit0(bit1(pls))),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),times_times(int,bit0(bit0(bit1(pls))),m1)),zero_zero(int)),
inference(forward_demodulation,[],[f220,f364]) ).
tff(f403,plain,
ord_less(int,minus_minus(int,times_times(int,number_number_of(int,bit0(bit1(pls))),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),bit0(times_times(int,bit0(bit1(pls)),m1))),zero_zero(int)),
inference(forward_demodulation,[],[f399,f267]) ).
tff(f405,plain,
ord_less(int,minus_minus(int,times_times(int,number_number_of(int,bit0(bit1(pls))),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),bit0(bit0(times_times(int,bit1(pls),m1)))),zero_zero(int)),
inference(forward_demodulation,[],[f403,f267]) ).
tff(f407,plain,
ord_less(int,minus_minus(int,times_times(int,bit0(bit1(pls)),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),bit0(bit0(times_times(int,bit1(pls),m1)))),zero_zero(int)),
inference(forward_demodulation,[],[f405,f364]) ).
tff(f409,plain,
ord_less(int,minus_minus(int,bit0(times_times(int,bit1(pls),plus_plus(int,one_one(int),semiring_1_of_nat(int,n)))),bit0(bit0(times_times(int,bit1(pls),m1)))),zero_zero(int)),
inference(forward_demodulation,[],[f407,f267]) ).
tff(f411,plain,
ord_less(int,bit0(minus_minus(int,times_times(int,bit1(pls),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),bit0(times_times(int,bit1(pls),m1)))),zero_zero(int)),
inference(forward_demodulation,[],[f409,f269]) ).
tff(f414,plain,
~ ord_less(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),minus_minus(int,times_times(int,number_number_of(int,bit0(bit1(pls))),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),times_times(int,bit0(bit0(bit1(pls))),m1))),times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),zero_zero(int))),
inference(superposition,[],[f381,f364]) ).
tff(f415,plain,
~ ord_less(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),minus_minus(int,times_times(int,number_number_of(int,bit0(bit1(pls))),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),bit0(times_times(int,bit0(bit1(pls)),m1)))),times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),zero_zero(int))),
inference(forward_demodulation,[],[f414,f267]) ).
tff(f417,plain,
~ ord_less(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),minus_minus(int,times_times(int,number_number_of(int,bit0(bit1(pls))),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),bit0(bit0(times_times(int,bit1(pls),m1))))),times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),zero_zero(int))),
inference(forward_demodulation,[],[f415,f267]) ).
tff(f419,plain,
~ ord_less(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),minus_minus(int,times_times(int,bit0(bit1(pls)),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),bit0(bit0(times_times(int,bit1(pls),m1))))),times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),zero_zero(int))),
inference(forward_demodulation,[],[f417,f364]) ).
tff(f421,plain,
~ ord_less(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),minus_minus(int,bit0(times_times(int,bit1(pls),plus_plus(int,one_one(int),semiring_1_of_nat(int,n)))),bit0(bit0(times_times(int,bit1(pls),m1))))),times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),zero_zero(int))),
inference(forward_demodulation,[],[f419,f267]) ).
tff(f423,plain,
~ ord_less(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),bit0(minus_minus(int,times_times(int,bit1(pls),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),bit0(times_times(int,bit1(pls),m1))))),times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),zero_zero(int))),
inference(forward_demodulation,[],[f421,f269]) ).
tff(f431,plain,
zero_zero(int) = number_number_of(int,pls),
inference(resolution,[],[f273,f371]) ).
tff(f432,plain,
zero_zero(int) = pls,
inference(forward_demodulation,[],[f431,f364]) ).
tff(f436,plain,
~ ord_less(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),bit0(minus_minus(int,times_times(int,bit1(pls),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),bit0(times_times(int,bit1(pls),m1))))),times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),pls)),
inference(superposition,[],[f423,f432]) ).
tff(f444,plain,
one_one(int) = number_number_of(int,bit1(pls)),
inference(resolution,[],[f234,f371]) ).
tff(f445,plain,
one_one(int) = bit1(pls),
inference(forward_demodulation,[],[f444,f364]) ).
tff(f446,plain,
~ ord_less(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),bit0(minus_minus(int,times_times(int,one_one(int),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),bit0(times_times(int,one_one(int),m1))))),times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),pls)),
inference(superposition,[],[f436,f445]) ).
tff(f554,plain,
! [X0: nat] : ord_less(int,zero_zero(int),plus_plus(int,one_one(int),semiring_1_of_nat(int,X0))),
inference(resolution,[],[f356,f390]) ).
tff(f559,plain,
! [X0: nat] : ord_less(int,pls,plus_plus(int,one_one(int),semiring_1_of_nat(int,X0))),
inference(forward_demodulation,[],[f554,f432]) ).
tff(f692,plain,
! [X0: nat] :
( ~ ord_less(int,pls,semiring_1_of_nat(int,X0))
| ord_less(nat,zero_zero(nat),X0) ),
inference(superposition,[],[f334,f432]) ).
tff(f755,plain,
! [X0: int] : ( times_times(int,bit1(pls),X0) = plus_plus(int,bit0(pls),X0) ),
inference(superposition,[],[f233,f266]) ).
tff(f770,plain,
! [X0: int] : ( plus_plus(int,pls,X0) = times_times(int,bit1(pls),X0) ),
inference(forward_demodulation,[],[f755,f255]) ).
tff(f771,plain,
! [X0: int] : ( plus_plus(int,pls,X0) = times_times(int,one_one(int),X0) ),
inference(forward_demodulation,[],[f770,f445]) ).
tff(f831,plain,
~ ord_less(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),bit0(minus_minus(int,times_times(int,one_one(int),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),bit0(plus_plus(int,pls,m1))))),times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),pls)),
inference(superposition,[],[f446,f771]) ).
tff(f833,plain,
~ ord_less(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),bit0(minus_minus(int,plus_plus(int,pls,plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),bit0(plus_plus(int,pls,m1))))),times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),pls)),
inference(forward_demodulation,[],[f831,f771]) ).
tff(f900,plain,
! [X0: nat] : ( plus_plus(int,one_one(int),semiring_1_of_nat(int,X0)) = semiring_1_of_nat(int,plus_plus(nat,one_one(nat),X0)) ),
inference(superposition,[],[f343,f348]) ).
tff(f1234,plain,
ord_less(int,bit0(minus_minus(int,times_times(int,bit1(pls),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),bit0(times_times(int,bit1(pls),m1)))),pls),
inference(superposition,[],[f411,f432]) ).
tff(f1235,plain,
ord_less(int,bit0(minus_minus(int,times_times(int,one_one(int),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),bit0(times_times(int,one_one(int),m1)))),pls),
inference(forward_demodulation,[],[f1234,f445]) ).
tff(f1238,plain,
ord_less(int,bit0(minus_minus(int,times_times(int,one_one(int),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),bit0(plus_plus(int,pls,m1)))),pls),
inference(forward_demodulation,[],[f1235,f771]) ).
tff(f1241,plain,
ord_less(int,bit0(minus_minus(int,plus_plus(int,pls,plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),bit0(plus_plus(int,pls,m1)))),pls),
inference(forward_demodulation,[],[f1238,f771]) ).
tff(f1244,plain,
ord_less(int,bit0(minus_minus(int,plus_plus(int,pls,semiring_1_of_nat(int,plus_plus(nat,one_one(nat),n))),bit0(plus_plus(int,pls,m1)))),pls),
inference(forward_demodulation,[],[f1241,f900]) ).
tff(f1990,plain,
~ ord_less(int,times_times(int,semiring_1_of_nat(int,plus_plus(nat,one_one(nat),n)),bit0(minus_minus(int,plus_plus(int,pls,semiring_1_of_nat(int,plus_plus(nat,one_one(nat),n))),bit0(plus_plus(int,pls,m1))))),times_times(int,semiring_1_of_nat(int,plus_plus(nat,one_one(nat),n)),pls)),
inference(superposition,[],[f833,f900]) ).
tff(f1991,plain,
! [X0: nat] : ord_less(int,pls,semiring_1_of_nat(int,plus_plus(nat,one_one(nat),X0))),
inference(superposition,[],[f559,f900]) ).
tff(f2032,plain,
( ~ ord_less(nat,zero_zero(nat),plus_plus(nat,one_one(nat),n))
| ~ ord_less(int,bit0(minus_minus(int,plus_plus(int,pls,semiring_1_of_nat(int,plus_plus(nat,one_one(nat),n))),bit0(plus_plus(int,pls,m1)))),pls) ),
inference(resolution,[],[f1990,f336]) ).
tff(f2033,plain,
~ ord_less(nat,zero_zero(nat),plus_plus(nat,one_one(nat),n)),
inference(forward_subsumption_resolution,[],[f2032,f1244]) ).
tff(f5301,plain,
! [X0: nat] : ord_less(nat,zero_zero(nat),plus_plus(nat,one_one(nat),X0)),
inference(resolution,[],[f692,f1991]) ).
tff(f5317,plain,
$false,
inference(resolution,[],[f5301,f2033]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM992_5 : TPTP v9.3.1. Released v6.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.39 % Computer : n004.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % 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 21:49:37 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.42 Running first-order model finding
% 0.13/0.42 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.41/1.67 % (3910054)Will run a generic schedule for satisfiability detection.
% 7.41/1.67 % (3910064)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2839716782:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 7.41/1.67 % (3910060)% WARNING: option uhcvi not known.
% 7.41/1.67 % (3910059)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2256819817_2999 on theBenchmark for (2999ds/0Mi)
% 7.41/1.67 % (3910060)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=703343553:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 7.41/1.67 % (3910061)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=238058682:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 7.41/1.67 % (3910062)dis+10_1_sil=32000:sp=arity:random_seed=4260109187:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 7.41/1.67 % (3910063)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=480284872:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 7.41/1.67 % (3910065)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2610521360:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 7.41/1.67 % Exception at run slice level
% 7.41/1.67 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.41/1.67 % (3910073)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1672065463:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 7.41/1.67 % Exception at run slice level
% 7.41/1.67 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.41/1.67 % (3910064)Instruction limit reached!
% 7.41/1.67 % (3910064)------------------------------
% 7.41/1.67 % (3910064)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.41/1.67 % (3910064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.41/1.67 % (3910064)CaDiCaL version: 2.1.3
% 7.41/1.67 % (3910064)Termination reason: Instruction limit
% 7.41/1.67 % (3910064)Termination phase: Saturation
% 7.41/1.67 % (3910064)Time elapsed: 0.040 s
% 7.41/1.67 % (3910064)Peak memory usage: 13 MB
% 7.41/1.67 % (3910064)Instructions burned: 135 (million)
% 7.41/1.67 % (3910076)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=366373014:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 7.41/1.67 % (3910075)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=184099375:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 7.41/1.67 % (3910062)Instruction limit reached!
% 7.41/1.67 % (3910062)------------------------------
% 7.41/1.67 % (3910062)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.41/1.67 % (3910062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.41/1.67 % (3910062)CaDiCaL version: 2.1.3
% 7.41/1.67 % (3910062)Termination reason: Instruction limit
% 7.41/1.67 % (3910062)Termination phase: Saturation
% 7.41/1.67 % (3910062)Time elapsed: 0.061 s
% 7.41/1.67 % (3910062)Peak memory usage: 12 MB
% 7.41/1.67 % (3910062)Instructions burned: 104 (million)
% 7.41/1.67 % (3910063)Instruction limit reached!
% 7.41/1.67 % (3910063)------------------------------
% 7.41/1.67 % (3910063)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.41/1.67 % (3910063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.41/1.67 % (3910063)CaDiCaL version: 2.1.3
% 7.41/1.67 % (3910063)Termination reason: Instruction limit
% 7.41/1.67 % (3910063)Termination phase: Saturation
% 7.41/1.67 % (3910063)Time elapsed: 0.070 s
% 7.41/1.67 % (3910063)Peak memory usage: 13 MB
% 7.41/1.67 % (3910063)Instructions burned: 117 (million)
% 7.41/1.67 % (3910079)ott-21_1_sil=16000:fs=off:random_seed=3619139641:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 7.41/1.67 % (3910080)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1837353115:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 7.41/1.67 % (3910065)Instruction limit reached!
% 7.41/1.67 % (3910065)------------------------------
% 7.41/1.67 % (3910065)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.41/1.67 % (3910065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.41/1.67 % (3910065)CaDiCaL version: 2.1.3
% 7.41/1.67 % (3910065)Termination reason: Instruction limit
% 7.41/1.67 % (3910065)Termination phase: Saturation
% 20.73/3.48 % (3910065)Time elapsed: 0.095 s
% 20.73/3.48 % (3910065)Peak memory usage: 13 MB
% 20.73/3.48 % (3910065)Instructions burned: 159 (million)
% 20.73/3.48 % (3910083)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3224586848:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 20.73/3.48 % Exception at run slice level
% 20.73/3.48 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 20.73/3.48 % (3910075)Instruction limit reached!
% 20.73/3.48 % (3910075)------------------------------
% 20.73/3.48 % (3910075)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.73/3.48 % (3910075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.73/3.48 % (3910075)CaDiCaL version: 2.1.3
% 20.73/3.48 % (3910075)Termination reason: Instruction limit
% 20.73/3.48 % (3910075)Termination phase: Saturation
% 20.73/3.48 % (3910075)Time elapsed: 0.079 s
% 20.73/3.48 % (3910075)Peak memory usage: 13 MB
% 20.73/3.48 % (3910075)Instructions burned: 131 (million)
% 20.73/3.48 % (3910085)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2292893895:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 20.73/3.48 % (3910086)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3445028350:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 20.73/3.48 % Exception at run slice level
% 20.73/3.48 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 20.73/3.48 % (3910089)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=572757099:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2998 on theBenchmark for (2998ds/692Mi)
% 20.73/3.48 % (3910079)Instruction limit reached!
% 20.73/3.48 % (3910079)------------------------------
% 20.73/3.48 % (3910079)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.73/3.48 % (3910079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.73/3.48 % (3910079)CaDiCaL version: 2.1.3
% 20.73/3.48 % (3910079)Termination reason: Instruction limit
% 20.73/3.48 % (3910079)Termination phase: Saturation
% 20.73/3.48 % (3910079)Time elapsed: 0.085 s
% 20.73/3.48 % (3910079)Peak memory usage: 13 MB
% 20.73/3.48 % (3910079)Instructions burned: 180 (million)
% 20.73/3.48 % (3910091)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=160561938:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 20.73/3.48 % (3910076)Instruction limit reached!
% 20.73/3.48 % (3910076)------------------------------
% 20.73/3.48 % (3910076)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.73/3.48 % (3910076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.73/3.48 % (3910076)CaDiCaL version: 2.1.3
% 20.73/3.48 % (3910076)Termination reason: Instruction limit
% 20.73/3.48 % (3910076)Termination phase: Saturation
% 20.73/3.48 % (3910076)Time elapsed: 0.197 s
% 20.73/3.48 % (3910076)Peak memory usage: 16 MB
% 20.73/3.48 % (3910076)Instructions burned: 686 (million)
% 20.73/3.48 % (3910093)fmb+10_1_sil=64000:random_seed=3975987041:i=22061:nm=2:gsp=on_2997 on theBenchmark for (2997ds/22061Mi)
% 20.73/3.48 % (3910093)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 20.73/3.48 % Exception at run slice level
% 20.73/3.48 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 20.73/3.48 % (3910095)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1298209675:i=9515:nm=5_2997 on theBenchmark for (2997ds/9515Mi)
% 20.73/3.48 % Exception at run slice level
% 20.73/3.48 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 20.73/3.48 % (3910097)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3481187045:fmbsr=1.7:i=920_2996 on theBenchmark for (2996ds/920Mi)
% 20.73/3.48 % Exception at run slice level
% 20.73/3.48 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 20.73/3.48 % (3910099)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2152515294:i=5131_2996 on theBenchmark for (2996ds/5131Mi)
% 20.73/3.48 % (3910080)Instruction limit reached!
% 20.73/3.48 % (3910080)------------------------------
% 20.73/3.48 % (3910080)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.73/3.48 % (3910080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.33/3.77 % (3910080)CaDiCaL version: 2.1.3
% 22.33/3.77 % (3910080)Termination reason: Instruction limit
% 22.33/3.77 % (3910080)Termination phase: Saturation
% 22.33/3.77 % (3910080)Time elapsed: 0.310 s
% 22.33/3.77 % (3910080)Peak memory usage: 14 MB
% 22.33/3.77 % (3910080)Instructions burned: 477 (million)
% 22.33/3.77 % (3910101)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2448237820:i=1472:ins=7:fdi=8:gsp=on_2995 on theBenchmark for (2995ds/1472Mi)
% 22.33/3.77 % (3910101)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 22.33/3.77 % (3910089)Instruction limit reached!
% 22.33/3.77 % (3910089)------------------------------
% 22.33/3.77 % (3910089)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.33/3.77 % (3910089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.33/3.77 % (3910089)CaDiCaL version: 2.1.3
% 22.33/3.77 % (3910089)Termination reason: Instruction limit
% 22.33/3.77 % (3910089)Termination phase: Saturation
% 22.33/3.77 % (3910089)Time elapsed: 0.334 s
% 22.33/3.77 % (3910089)Peak memory usage: 18 MB
% 22.33/3.77 % (3910089)Instructions burned: 692 (million)
% 22.33/3.77 % (3910103)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2805696338:i=6324_2994 on theBenchmark for (2994ds/6324Mi)
% 22.33/3.77 % Exception at run slice level
% 22.33/3.77 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 22.33/3.77 % (3910105)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3013586295:fmbsr=2.30978:i=2174_2994 on theBenchmark for (2994ds/2174Mi)
% 22.33/3.77 % Exception at run slice level
% 22.33/3.77 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 22.33/3.77 % (3910107)ott-2_1_sil=16000:newcnf=on:random_seed=201750302:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2994 on theBenchmark for (2994ds/869Mi)
% 22.33/3.77 % (3910091)Instruction limit reached!
% 22.33/3.77 % (3910091)------------------------------
% 22.33/3.77 % (3910091)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.33/3.77 % (3910091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.33/3.77 % (3910091)CaDiCaL version: 2.1.3
% 22.33/3.77 % (3910091)Termination reason: Instruction limit
% 22.33/3.77 % (3910091)Termination phase: Saturation
% 22.33/3.77 % (3910091)Time elapsed: 0.471 s
% 22.33/3.77 % (3910091)Peak memory usage: 18 MB
% 22.33/3.77 % (3910091)Instructions burned: 880 (million)
% 22.33/3.77 % (3910109)ott+10_1_sil=32000:tgt=ground:random_seed=4049029094:i=5114:av=off_2992 on theBenchmark for (2992ds/5114Mi)
% 22.33/3.77 % (3910085)Instruction limit reached!
% 22.33/3.77 % (3910085)------------------------------
% 22.33/3.77 % (3910085)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.33/3.77 % (3910085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.33/3.77 % (3910085)CaDiCaL version: 2.1.3
% 22.33/3.77 % (3910085)Termination reason: Instruction limit
% 22.33/3.77 % (3910085)Termination phase: Saturation
% 22.33/3.77 % (3910085)Time elapsed: 0.678 s
% 22.33/3.77 % (3910085)Peak memory usage: 24 MB
% 22.33/3.77 % (3910085)Instructions burned: 1179 (million)
% 22.33/3.77 % (3910111)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1267573954:i=54282_2991 on theBenchmark for (2991ds/54282Mi)
% 22.33/3.77 % Exception at run slice level
% 22.33/3.77 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 22.33/3.77 % (3910113)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=1094709305:i=3512:aac=none_2991 on theBenchmark for (2991ds/3512Mi)
% 22.33/3.77 % (3910107)Instruction limit reached!
% 22.33/3.77 % (3910107)------------------------------
% 22.33/3.77 % (3910107)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.33/3.77 % (3910107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.33/3.77 % (3910107)CaDiCaL version: 2.1.3
% 22.33/3.77 % (3910107)Termination reason: Instruction limit
% 22.33/3.77 % (3910107)Termination phase: Saturation
% 22.33/3.77 % (3910107)Time elapsed: 0.535 s
% 22.33/3.77 % (3910107)Peak memory usage: 18 MB
% 22.33/3.77 % (3910107)Instructions burned: 869 (million)
% 22.33/3.77 % (3910115)dis+21_1_sil=32000:sas=cadical:random_seed=675963916:i=3773:amm=off_2988 on theBenchmark for (2988ds/3773Mi)
% 22.33/3.77 % (3910101)Instruction limit reached!
% 22.33/3.77 % (3910101)------------------------------
% 22.33/3.77 % (3910101)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.33/3.77 % (3910101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.33/3.77 % (3910101)CaDiCaL version: 2.1.3
% 22.33/3.77 % (3910101)Termination reason: Instruction limit
% 22.33/3.77 % (3910101)Termination phase: Saturation
% 22.33/3.77 % (3910101)Time elapsed: 0.767 s
% 22.33/3.77 % (3910101)Peak memory usage: 27 MB
% 22.33/3.77 % (3910101)Instructions burned: 1472 (million)
% 22.33/3.77 % (3910117)ott+11_1_sil=16000:gs=on:random_seed=87966611:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2987 on theBenchmark for (2987ds/2251Mi)
% 22.33/3.77 % (3910099)Instruction limit reached!
% 22.33/3.77 % (3910099)------------------------------
% 22.33/3.77 % (3910099)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.33/3.77 % (3910099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.33/3.77 % (3910099)CaDiCaL version: 2.1.3
% 22.33/3.77 % (3910099)Termination reason: Instruction limit
% 22.33/3.77 % (3910099)Termination phase: Saturation
% 22.33/3.77 % (3910099)Time elapsed: 1.440 s
% 22.33/3.77 % (3910099)Peak memory usage: 43 MB
% 22.33/3.77 % (3910099)Instructions burned: 5133 (million)
% 22.33/3.77 % (3910119)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=4006043139:fmbsr=1.6:i=67534_2982 on theBenchmark for (2982ds/67534Mi)
% 22.33/3.77 % Exception at run slice level
% 22.33/3.77 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 22.33/3.77 % (3910121)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=3309304642:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2982 on theBenchmark for (2982ds/4591Mi)
% 22.33/3.77 % (3910117)Instruction limit reached!
% 22.33/3.77 % (3910117)------------------------------
% 22.33/3.77 % (3910117)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.33/3.77 % (3910117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.33/3.77 % (3910117)CaDiCaL version: 2.1.3
% 22.33/3.77 % (3910117)Termination reason: Instruction limit
% 22.33/3.77 % (3910117)Termination phase: Saturation
% 22.33/3.77 % (3910117)Time elapsed: 1.142 s
% 22.33/3.77 % (3910117)Peak memory usage: 25 MB
% 22.33/3.77 % (3910117)Instructions burned: 2251 (million)
% 22.33/3.77 % (3910123)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=3059249836:i=29340_2975 on theBenchmark for (2975ds/29340Mi)
% 22.33/3.77 % (3910113)Instruction limit reached!
% 22.33/3.77 % (3910113)------------------------------
% 22.33/3.77 % (3910113)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.33/3.77 % (3910113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.33/3.77 % (3910113)CaDiCaL version: 2.1.3
% 22.33/3.77 % (3910113)Termination reason: Instruction limit
% 22.33/3.77 % (3910113)Termination phase: Saturation
% 22.33/3.77 % (3910113)Time elapsed: 1.852 s
% 22.33/3.77 % (3910113)Peak memory usage: 34 MB
% 22.33/3.77 % (3910113)Instructions burned: 3513 (million)
% 22.33/3.77 % (3910125)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=3527505021:i=5211_2972 on theBenchmark for (2972ds/5211Mi)
% 22.33/3.77 % (3910121)Instruction limit reached!
% 22.33/3.77 % (3910121)------------------------------
% 22.33/3.77 % (3910121)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.33/3.77 % (3910121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.33/3.77 % (3910121)CaDiCaL version: 2.1.3
% 22.33/3.77 % (3910121)Termination reason: Instruction limit
% 22.33/3.77 % (3910121)Termination phase: Saturation
% 22.33/3.77 % (3910121)Time elapsed: 1.195 s
% 22.33/3.77 % (3910121)Peak memory usage: 74 MB
% 22.33/3.77 % (3910121)Instructions burned: 4592 (million)
% 22.33/3.77 % (3910127)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=3674143838:i=5497:nm=2_2969 on theBenchmark for (2969ds/5497Mi)
% 22.33/3.77 % Exception at run slice level
% 22.33/3.77 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 22.33/3.77 % (3910129)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=2525412478:fmbsr=2:i=46332_2969 on theBenchmark for (2969ds/46332Mi)
% 22.33/3.77 % Exception at run slice level
% 22.33/3.77 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 22.33/3.77 % (3910131)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=225457452:i=14071_2969 on theBenchmark for (2969ds/14071Mi)
% 22.33/3.77 % Exception at run slice level
% 22.33/3.77 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 22.33/3.77 % (3910133)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=32462836:i=22565:add=on:rawr=on_2969 on theBenchmark for (2969ds/22565Mi)
% 22.33/3.77 % (3910115)Instruction limit reached!
% 22.33/3.77 % (3910115)------------------------------
% 22.33/3.77 % (3910115)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.33/3.77 % (3910115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.33/3.77 % (3910115)CaDiCaL version: 2.1.3
% 22.33/3.77 % (3910115)Termination reason: Instruction limit
% 22.33/3.77 % (3910115)Termination phase: Saturation
% 22.33/3.77 % (3910115)Time elapsed: 2.063 s
% 22.33/3.77 % (3910115)Peak memory usage: 42 MB
% 22.33/3.77 % (3910115)Instructions burned: 3773 (million)
% 22.33/3.77 % (3910135)ott+4_1_sil=16000:sp=arity:gs=on:random_seed=3385729590:i=8173:av=off_2967 on theBenchmark for (2967ds/8173Mi)
% 22.33/3.77 % (3910135) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3910054-3910135"...
% 22.33/3.77 % (3910135)...printing done.
% 22.33/3.77 % (3910135)Refutation found. Thanks to Tanya!
% 22.33/3.77 % SZS status Theorem for theBenchmark
% 22.33/3.77 % SZS output start Proof for theBenchmark
% See solution above
% 22.33/3.77 % (3910135)------------------------------
% 22.33/3.77 % (3910135)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.33/3.77 % (3910135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.33/3.77 % (3910135)CaDiCaL version: 2.1.3
% 22.33/3.77 % (3910135)Termination reason: Refutation
% 22.33/3.77 % (3910135)Time elapsed: 0.080 s
% 22.33/3.77 % (3910135)Peak memory usage: 15 MB
% 22.33/3.77 % (3910135)Instructions burned: 244 (million)
% 22.33/3.77 % (3910054)Success in time 3.336 s
% 22.33/3.77 % Vampire exiting
%------------------------------------------------------------------------------