%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM995_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 : 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 12:26:21 PM UTC 2026
% Result : Theorem 0.37s 0.64s
% Output : Refutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 12
% Syntax : Number of formulae : 49 ( 46 unt; 0 typ; 0 def)
% Number of atoms : 52 ( 46 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 17 ( 14 ~; 2 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% 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 : 17 ( 17 usr; 9 con; 0-3 aty)
% Number of variables : 43 ( 43 !; 0 ?; 43 :)
% 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,
one_one:
!>[X0: $tType] : X0 ).
tff(func_def_1,type,
plus_plus:
!>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).
tff(func_def_2,type,
times_times:
!>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).
tff(func_def_3,type,
bit0: int > int ).
tff(func_def_4,type,
bit1: int > int ).
tff(func_def_5,type,
pls: int ).
tff(func_def_6,type,
number_number_of:
!>[X0: $tType] : ( int > X0 ) ).
tff(func_def_7,type,
semiring_1_of_nat:
!>[X0: $tType] : ( nat > X0 ) ).
tff(func_def_8,type,
power_power:
!>[X0: $tType] : ( ( X0 * nat ) > X0 ) ).
tff(func_def_9,type,
fFalse: bool ).
tff(func_def_10,type,
fTrue: bool ).
tff(func_def_11,type,
m1: int ).
tff(func_def_12,type,
n: nat ).
tff(func_def_13,type,
t: int ).
tff(func_def_14,type,
v: int ).
tff(func_def_15,type,
w: int ).
tff(func_def_16,type,
sK0: int ).
tff(pred_def_1,type,
number:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
semiring:
!>[X0: $tType] : $o ).
tff(pred_def_3,type,
number_ring:
!>[X0: $tType] : $o ).
tff(pred_def_4,type,
ring_char_0:
!>[X0: $tType] : $o ).
tff(pred_def_5,type,
semiring_1:
!>[X0: $tType] : $o ).
tff(pred_def_6,type,
monoid_mult:
!>[X0: $tType] : $o ).
tff(pred_def_7,type,
number_semiring:
!>[X0: $tType] : $o ).
tff(pred_def_8,type,
linordered_idom:
!>[X0: $tType] : $o ).
tff(pred_def_9,type,
ord_less:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_10,type,
dvd_dvd:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_11,type,
pp: bool > $o ).
tff(f1,axiom,
plus_plus(int,power_power(int,v,number_number_of(nat,bit0(bit1(pls)))),power_power(int,w,number_number_of(nat,bit0(bit1(pls))))) = times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),m1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_m1) ).
tff(f36,axiom,
! [X0: $tType] :
( number_ring(X0)
=> ! [X1: X0,X2: int,X3: int] : ( times_times(X0,number_number_of(X0,X3),times_times(X0,number_number_of(X0,X2),X1)) = times_times(X0,number_number_of(X0,times_times(int,X3,X2)),X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_35_mult__number__of__left) ).
tff(f46,axiom,
plus_plus(nat,one_one(nat),one_one(nat)) = number_number_of(nat,bit0(bit1(pls))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_45_nat__1__add__1) ).
tff(f61,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_60_zadd__int) ).
tff(f64,axiom,
semiring_1_of_nat(int,one_one(nat)) = one_one(int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_63_int__1) ).
tff(f69,axiom,
! [X0: int] : ( number_number_of(int,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_68_number__of__is__id) ).
tff(f72,axiom,
! [X0: int] : ( plus_plus(int,X0,pls) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_71_add__Pls__right) ).
tff(f74,axiom,
! [X0: int] : ( bit0(X0) = plus_plus(int,X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_73_Bit0__def) ).
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/sandbox/benchmark/theBenchmark.p',fact_76_int__distrib_I2_J) ).
tff(f83,axiom,
! [X0: int] : ( bit1(X0) = plus_plus(int,plus_plus(int,one_one(int),X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_82_Bit1__def) ).
tff(f104,axiom,
number_ring(int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int_Oint___Int_Onumber__ring) ).
tff(f114,conjecture,
times_times(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),m1) = plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),power_power(int,v,number_number_of(nat,bit0(bit1(pls))))),times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),power_power(int,w,number_number_of(nat,bit0(bit1(pls)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
tff(f115,negated_conjecture,
( ( ~ times_times(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),m1) ) = plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),power_power(int,v,number_number_of(nat,bit0(bit1(pls))))),times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),power_power(int,w,number_number_of(nat,bit0(bit1(pls)))))) ),
inference(negated_conjecture,[status(cth)],[f114]) ).
tff(f116,plain,
times_times(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),m1) != plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),power_power(int,v,number_number_of(nat,bit0(bit1(pls))))),times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),power_power(int,w,number_number_of(nat,bit0(bit1(pls)))))),
inference(flattening,[],[f115]) ).
tff(f134,plain,
! [X0: $tType] :
( ! [X1: X0,X2: int,X3: int] : ( times_times(X0,number_number_of(X0,X3),times_times(X0,number_number_of(X0,X2),X1)) = times_times(X0,number_number_of(X0,times_times(int,X3,X2)),X1) )
| ~ number_ring(X0) ),
inference(ennf_transformation,[],[f36]) ).
tff(f188,plain,
plus_plus(int,power_power(int,v,number_number_of(nat,bit0(bit1(pls)))),power_power(int,w,number_number_of(nat,bit0(bit1(pls))))) = times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),m1),
inference(cnf_transformation,[],[f1]) ).
tff(f231,plain,
! [X0: $tType,X2: int,X3: int,X1: X0] :
( ~ number_ring(X0)
| ( times_times(X0,number_number_of(X0,X3),times_times(X0,number_number_of(X0,X2),X1)) = times_times(X0,number_number_of(X0,times_times(int,X3,X2)),X1) ) ),
inference(cnf_transformation,[],[f134]) ).
tff(f245,plain,
number_number_of(nat,bit0(bit1(pls))) = plus_plus(nat,one_one(nat),one_one(nat)),
inference(cnf_transformation,[],[f46]) ).
tff(f272,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,[],[f61]) ).
tff(f275,plain,
one_one(int) = semiring_1_of_nat(int,one_one(nat)),
inference(cnf_transformation,[],[f64]) ).
tff(f281,plain,
! [X0: int] : ( number_number_of(int,X0) = X0 ),
inference(cnf_transformation,[],[f69]) ).
tff(f285,plain,
! [X0: int] : ( plus_plus(int,X0,pls) = X0 ),
inference(cnf_transformation,[],[f72]) ).
tff(f287,plain,
! [X0: int] : ( bit0(X0) = plus_plus(int,X0,X0) ),
inference(cnf_transformation,[],[f74]) ).
tff(f290,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(f296,plain,
! [X0: int] : ( bit1(X0) = plus_plus(int,plus_plus(int,one_one(int),X0),X0) ),
inference(cnf_transformation,[],[f83]) ).
tff(f317,plain,
number_ring(int),
inference(cnf_transformation,[],[f104]) ).
tff(f327,plain,
times_times(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),m1) != plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),power_power(int,v,number_number_of(nat,bit0(bit1(pls))))),times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),power_power(int,w,number_number_of(nat,bit0(bit1(pls)))))),
inference(cnf_transformation,[],[f116]) ).
tff(f328,plain,
times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),m1) = plus_plus(int,power_power(int,v,number_number_of(nat,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)))),power_power(int,w,number_number_of(nat,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))))),
inference(definition_unfolding,[],[f188,f287,f296,f287,f296]) ).
tff(f371,plain,
plus_plus(nat,one_one(nat),one_one(nat)) = number_number_of(nat,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))),
inference(definition_unfolding,[],[f245,f287,f296]) ).
tff(f400,plain,
times_times(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)))),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),m1) != 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)))),power_power(int,v,number_number_of(nat,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))))),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)))),power_power(int,w,number_number_of(nat,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)))))),
inference(definition_unfolding,[],[f327,f287,f287,f296,f287,f287,f296,f287,f296,f287,f287,f296,f287,f296]) ).
tff(f412,plain,
times_times(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)))),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),m1) != 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)))),plus_plus(int,power_power(int,v,number_number_of(nat,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)))),power_power(int,w,number_number_of(nat,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)))))),
inference(backward_demodulation,[],[f400,f290]) ).
tff(f435,plain,
plus_plus(nat,one_one(nat),one_one(nat)) = number_number_of(nat,plus_plus(int,plus_plus(int,one_one(int),pls),plus_plus(int,one_one(int),pls))),
inference(forward_demodulation,[],[f371,f285]) ).
tff(f449,plain,
times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),m1) = plus_plus(int,power_power(int,v,number_number_of(nat,plus_plus(int,plus_plus(int,one_one(int),pls),plus_plus(int,one_one(int),pls)))),power_power(int,w,number_number_of(nat,plus_plus(int,plus_plus(int,one_one(int),pls),plus_plus(int,one_one(int),pls))))),
inference(forward_demodulation,[],[f328,f285]) ).
tff(f450,plain,
times_times(int,times_times(int,number_number_of(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)))),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),m1) != times_times(int,number_number_of(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)))),plus_plus(int,power_power(int,v,number_number_of(nat,plus_plus(int,plus_plus(int,one_one(int),pls),plus_plus(int,one_one(int),pls)))),power_power(int,w,number_number_of(nat,plus_plus(int,plus_plus(int,one_one(int),pls),plus_plus(int,one_one(int),pls)))))),
inference(forward_demodulation,[],[f412,f285]) ).
tff(f473,plain,
plus_plus(nat,one_one(nat),one_one(nat)) = number_number_of(nat,plus_plus(int,one_one(int),one_one(int))),
inference(forward_demodulation,[],[f435,f285]) ).
tff(f486,plain,
times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),m1) = plus_plus(int,power_power(int,v,number_number_of(nat,plus_plus(int,one_one(int),one_one(int)))),power_power(int,w,number_number_of(nat,plus_plus(int,one_one(int),one_one(int))))),
inference(forward_demodulation,[],[f449,f285]) ).
tff(f487,plain,
times_times(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,one_one(int),one_one(int)),plus_plus(int,one_one(int),one_one(int)))),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),m1) != times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,one_one(int),one_one(int)),plus_plus(int,one_one(int),one_one(int)))),plus_plus(int,power_power(int,v,number_number_of(nat,plus_plus(int,one_one(int),one_one(int)))),power_power(int,w,number_number_of(nat,plus_plus(int,one_one(int),one_one(int)))))),
inference(forward_demodulation,[],[f450,f285]) ).
tff(f501,plain,
times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),m1) = plus_plus(int,power_power(int,v,plus_plus(nat,one_one(nat),one_one(nat))),power_power(int,w,plus_plus(nat,one_one(nat),one_one(nat)))),
inference(forward_demodulation,[],[f486,f473]) ).
tff(f502,plain,
times_times(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,one_one(int),one_one(int)),plus_plus(int,one_one(int),one_one(int)))),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),m1) != times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,one_one(int),one_one(int)),plus_plus(int,one_one(int),one_one(int)))),plus_plus(int,power_power(int,v,plus_plus(nat,one_one(nat),one_one(nat))),power_power(int,w,plus_plus(nat,one_one(nat),one_one(nat))))),
inference(forward_demodulation,[],[f487,f473]) ).
tff(f509,plain,
times_times(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,one_one(int),one_one(int)),plus_plus(int,one_one(int),one_one(int)))),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),m1) != times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,one_one(int),one_one(int)),plus_plus(int,one_one(int),one_one(int)))),times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),m1)),
inference(forward_demodulation,[],[f502,f501]) ).
tff(f513,plain,
times_times(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))),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),m1) != times_times(int,plus_plus(int,plus_plus(int,one_one(int),one_one(int)),plus_plus(int,one_one(int),one_one(int))),times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),m1)),
inference(forward_demodulation,[],[f509,f281]) ).
tff(f631,plain,
! [X0: nat] : ( semiring_1_of_nat(int,plus_plus(nat,one_one(nat),X0)) = plus_plus(int,one_one(int),semiring_1_of_nat(int,X0)) ),
inference(superposition,[],[f272,f275]) ).
tff(f646,plain,
times_times(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))),semiring_1_of_nat(int,plus_plus(nat,one_one(nat),n))),m1) != times_times(int,plus_plus(int,plus_plus(int,one_one(int),one_one(int)),plus_plus(int,one_one(int),one_one(int))),times_times(int,semiring_1_of_nat(int,plus_plus(nat,one_one(nat),n)),m1)),
inference(backward_demodulation,[],[f513,f631]) ).
tff(f1260,plain,
! [X2: int,X0: int,X1: int] : ( times_times(int,number_number_of(int,X0),times_times(int,number_number_of(int,X1),X2)) = times_times(int,number_number_of(int,times_times(int,X0,X1)),X2) ),
inference(resolution,[],[f231,f317]) ).
tff(f1261,plain,
! [X2: int,X0: int,X1: int] : ( times_times(int,number_number_of(int,X0),times_times(int,number_number_of(int,X1),X2)) = times_times(int,times_times(int,X0,X1),X2) ),
inference(forward_demodulation,[],[f1260,f281]) ).
tff(f1262,plain,
! [X2: int,X0: int,X1: int] : ( times_times(int,times_times(int,X0,X1),X2) = times_times(int,number_number_of(int,X0),times_times(int,X1,X2)) ),
inference(forward_demodulation,[],[f1261,f281]) ).
tff(f1263,plain,
! [X2: int,X0: int,X1: int] : ( times_times(int,times_times(int,X0,X1),X2) = times_times(int,X0,times_times(int,X1,X2)) ),
inference(forward_demodulation,[],[f1262,f281]) ).
tff(f1281,plain,
times_times(int,plus_plus(int,plus_plus(int,one_one(int),one_one(int)),plus_plus(int,one_one(int),one_one(int))),times_times(int,semiring_1_of_nat(int,plus_plus(nat,one_one(nat),n)),m1)) != times_times(int,plus_plus(int,plus_plus(int,one_one(int),one_one(int)),plus_plus(int,one_one(int),one_one(int))),times_times(int,semiring_1_of_nat(int,plus_plus(nat,one_one(nat),n)),m1)),
inference(backward_demodulation,[],[f646,f1263]) ).
tff(f1282,plain,
$false,
inference(trivial_inequality_removal,[],[f1281]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM995_5 : TPTP v9.3.1. Released v6.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.19/0.44 % Computer : n001.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Sun Sep 27 21:55:31 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.45 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.23/0.50 Running first-order model finding
% 0.23/0.50 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
% 0.37/0.64 % (3995877)Will run a generic schedule for satisfiability detection.
% 0.37/0.64 % (3995883)% WARNING: option uhcvi not known.
% 0.37/0.64 % (3995882)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=639498857_2999 on theBenchmark for (2999ds/0Mi)
% 0.37/0.64 % Exception at run slice level
% 0.37/0.64 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.37/0.64 % (3995883)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1268188175:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.37/0.64 % (3995887)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1213883528:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.37/0.64 % (3995888)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4288559554:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.37/0.64 % (3995884)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2247334586:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.37/0.64 % (3995885)dis+10_1_sil=32000:sp=arity:random_seed=3083848689:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.37/0.64 % (3995886)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1563412398:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.37/0.64 % (3995891)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2997388185:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.37/0.64 % Exception at run slice level
% 0.37/0.64 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.37/0.64 % (3995898)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4117336120:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.37/0.64 % (3995898) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3995877-3995898"...
% 0.37/0.64 % (3995898)...printing done.
% 0.37/0.64 % (3995898)Refutation found. Thanks to Tanya!
% 0.37/0.64 % SZS status Theorem for theBenchmark
% 0.37/0.64 % SZS output start Proof for theBenchmark
% See solution above
% 0.37/0.64 % (3995898)------------------------------
% 0.37/0.64 % (3995898)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.64 % (3995898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.64 % (3995898)CaDiCaL version: 2.1.3
% 0.37/0.64 % (3995898)Termination reason: Refutation
% 0.37/0.64 % (3995898)Time elapsed: 0.050 s
% 0.37/0.64 % (3995898)Peak memory usage: 13 MB
% 0.37/0.64 % (3995898)Instructions burned: 90 (million)
% 0.37/0.64 % (3995877)Success in time 0.129 s
% 0.37/0.64 % Vampire exiting
%------------------------------------------------------------------------------